concurrent lectures part 1
TRANSCRIPT
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Calculating Constant Source Fault Values
by Jason Buneo, Megger
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Outline
• Introduction• Power System Model
• A-B-C Fault
• A-B Fault
• A-G Fault
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Introduction
• Expectations – Mho Characteristic
– Symmetrical Components
– Lots of Trigonometry
– Examples
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Power System Model
21
Single Source Power System Model
Zone 1 Protection
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How Do You Calculate Constant
Source Values?
Simple Way:•Determine your source impedance…or guess.
•Choose your test angle.
•Calculate your test impedance at the test angle.
•Calculate the test quantities for voltage and current.
Weak System Strong System
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A-B-C FaultSystem Parameters:
Positive Sequence Line Impedance: ZL = 5 Ω
Positive Sequence Line Angle: ZLAng = 80°
Zone 1 Reach: Z Lmag = 1.74
Nominal Voltage: V n = 63 .5V
Nominal Voltage Angle: V nAng = 0
Source Impedance: 20% of Line Impedance Z S = 1 Ω
Source Angle: Z SAng = 80°
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Zs1 ZL1
VR1 VF1
Zs2 = Zs1
VR2 VF2
IR1
IR2
Zs0
VR0 VF0
IR0
ZL0
ZL2 = ZL1
Negative
and Zero
Sequence
Networks
are notused for
ABC
Faults.
Positive
Sequence
NetworkVs
A-B-C Fault
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A-B-C Fault: Calculate Test Impedance
ImImIm
ReReRe
Im
Re
Im
Re
)sin(*
)cos(*
)sin(*
)cos(*
sL
alsalLal
sAngsMags
sAngsMagals
LAngLMagL
LAngLMagalL
ZZRadius
ZZRadius
ZZZ
ZZZ
ZZZ
ZZZ
+=
+=
=
=
=
=
2
2
tan
2
ImIm
ReRe
Re
Im1
ImImIm
ReReRe
2
Im
2
Re
sL Y
alsalLX
alAng
Ang
Angle
sLAng
alsalLalAng
al
Mag
ZZC
ZZC
Comp
CompComp
ZZComp
ZZComp
RadiusRadiusRadius
+=
+=
=
+=
+=
+=
−
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A-B-C Fault: Calculate Test Impedance
ImImIm
ReReRe
Im
Re
Im
Re
)sin(*
)cos(*
)sin(*
)cos(*
sL
alsalLal
sAngsMags
sAngsMagals
LAngLMagL
LAngLMagalL
ZZRadius
ZZRadius
ZZZ
ZZZ
ZZZ
ZZZ
+=
+=
=
=
=
=
2
2
tan
2
ImIm
ReRe
Re
Im1
ImImIm
ReReRe
2
Im
2
Re
sL Y
alsalLX
alAng
Ang
Angle
sLAng
alsalLalAng
al
Mag
ZZC
ZZC
Comp
CompComp
ZZComp
ZZComp
RadiusRadiusRadius
+=
+=
=
+=
+=
+=
−
6983.29848.07135.1
4757.01736.03021.0
9848.0)80sin(*1
1736.0)80cos(*1
7135.1)80sin(*74.1
3021.0)80cos(*74.1
Im
Re
Im
Re
Im
Re
=+=
=+=
==
==
==
==
Radius
Radius
Z
Z
Z
Z
al
s
als
L
alL
3643.02
)9848.0(7135.1
06425.02
)1736.0(3021.0
00.804757.0
6983.2tan
3699.12
6983.24757.0
1
22
=−+
=
=−+=
==
=+=
−
Y
X
Angle
Mag
C
C
Comp
Radius
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A-B-C Fault: Calculate Test Impedance
)cos(*)cos(* AngleCompRadius TestAngleRadiusX += )sin(*)sin(* AngleCompRadius TestAngleRadius Y +=
3021.0)80cos(*3699.1)80cos(*3699.1 =+=X7135.1)80sin(*3699.1)80sin(*3699.1 =+= Y
Ω=+=+= 7399.17135.13021.02222 YXZ Tot
°−−
=== 00.803021.0
7135.1
tantan
11
X
Y
ZAng
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A-B-C Fault: Calculate Test QuantitiesNow that we have the Impedance Ztot, where do we go from here?
Calculating Current and Voltage Values
Positive Sequence Values Only
[ ][ ]α α
21
relay
c
b
a
VVV
V
=
⎥⎥
⎥
⎦
⎤
⎢⎢
⎢
⎣
⎡
[ ][ ]α α
2
11
a
c
b
a
III
I
=
⎥⎥
⎥
⎦
⎤
⎢⎢
⎢
⎣
⎡
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Test Current Ia
°
°−−
−=−=−=
===
===
=+=+=
=+=+=
=+=+=
80800
17.237399.2
5.63
00.804757.0
6983.2tantan
7399.26983.24757.0
6983.29848.07135.1
4757.01736.03021.0
1
1
1
Re
Im1
222
Im
2
Re
ImImIm
ReReRe
ExpandAngnAngAnga
ExpandMag
nMag
Maga
alExpand
Expand
ExpandAng
ExpandalExpandExpandMag
sLineExpand
alsalLinealExpand
ZVI
A
Z
VI
Z
ZZ
ZZZ
ZZZ
ZZZ
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Test Current Ib
°−− −=−
==
=+−=+=
===
−===
=−+=+=
===
=
2077.21
9246.7tantan
17.239246.777.21
9246.7)160sin(*17.23)sin(*
77.21)160cos(*17.23)cos(*
160)80(120*2*217.2317.23*1*
1
Re
Im1
222
Im
2
Re
Im
Re
1
2
1
2
1
2
albPos
bPosbAng
bPosalbPosbMag
bPosAngbPosMagbPos
bPosAngbPosMagalbPos
AngaAngbPosAng
MagaMagbPosMag
abMag
III
AIII
III
III
IIII
II
α
α
α
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Test Current Ic
°−− ===
=+=+=
===
===
=−+=+=
===
=
407492.178933.14tantan
17.238933.147492.17
8933.14)40sin(*17.23)sin(*
7492.17)40cos(*17.23)cos(*
40)80(120
17.2317.23*1*
1
Re
Im1
222
Im
2
Re
Im
Re
1
1
1
alcPos
cPoscAng
cPosalcPoscMag
cPosAngcPosMagcPos
cPosAngcPosMagalcPos
AngaAngcPosAng
MagaMagcPosMag
acMag
III
AIII
III
III
II
II
II
α
α
α
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Test Voltage Va
°−− ===
=+=+==−=−=
=−=−=
======
=+−=+=
===
===
===
−=
033.40
0tantan
33.40033.40
000
33.4017.235.63
0)0sin(*17.23)sin(*17.23)0cos(*17.23)cos(*
08080
17.231*17.23*0)0sin(*5.63)sin(*
5.63)0cos(*5.63)cos(*
*****)*(*****
1
ReRe
ImRe1
Re
222
ImRe
2
ReReRe
ImReImImRe
ReReReReRe
ReReImRe
ReReReRe
1Re
1Re
Im
Re
1Re
allay
lay
layAng
layallaylayMag
layPosnlay
allayPosalnallay
layPosAnglayPosMaglayPos
layPosAnglayPosMagallayPos
sAngAngalayPosAng
sMagMagalayPosMag
nAngnn
nAngnaln
sanlay
V
VV
VVVV
VVV
VVV
VVVVVV
ZIV
ZIVVVV
VVV
ZIVV
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Test Voltage Vb
°−− =
−
−==
=−+−=+=−===
−===
=+=+====
=
60
165.20
92.34tantan
32.40)92.34(165.20
92.34)240sin(*33.40)sin(*
165.20)240cos(*33.40)cos(*
2400)120*2()*2(33.4033.40*1*
***********
1
Re
Im1
222
Im
2
Re
Im
Re
Re
2
Re
2
Re
2
albPos
bPosbAng
bPosalbPosbMag
bPosAngbPosMagbPos
bPosAngbPosMagalbPos
layAngbPosAng
layMagbPosMag
layb
V
VV
VVVV
VVV
VVV
VVVV
VV
α
α
α
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Test Voltage Vc
°−− −=
−
==
=+−=+====
−===
=+=+====
=
60
165.20
92.34tantan
32.40)92.34(165.20
92.34)120sin(*33.40)sin(*
165.20)120cos(*33.40)cos(*
120012033.4033.40*1*
***********
1
Re
Im1
222
Im
2
Re
Im
Re
Re
Re
Re
alcPos
cPoscAng
cPosalcPoscMag
cPosAngcPosMagcPos
cPosAngcPosMagalcPos
layAngcPosAng
layMagcPosMag
layc
V
VV
VVVV
VVV
VVV
VVVV
VV
α
α
α
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A-B-C Fault Test Quantities
The angles need one last adjustment. Remember:
If IReal or VReal > 0 and IIm or VIm >0 then the angle is tan-1 Imaginary/Real
If IReal or VReal < 0 and IIm or VIm > 0 then you need to add 180 to the angle.
If IReal or VReal < 0 and IIm or VIm < 0 then you need to add 180 to the angle.If IReal or VReal > 0 and IIm or VIm < 0 then you need to add 360 to the angle.
This correction will keep your values in the correct quadrant.
Ia Ib Ic Va Vb Vc
Magnitude 23.17A 23.17A 23.17A 40.33V 40.32V 40.32V
Angle‐80°
‐20° 40° 0° 60°
‐60°
Ia Ib Ic Va Vb Vc
Magnitude 23.17A 23.17A 23.17A 40.33V 40.32V 40.32V
Angle ‐80° ‐160° 40° 0° 60° ‐60°
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Zs1
ZL1
VR1 VF1
Zs2 = Zs1
VR2 VF2
IR1
IR2
Zs0
VR0 VF0
IR0
ZL0
ZL2 = ZL1
Zero Sequence
Networks are not
used for AB Faults.
Positive andNegative
Sequence
Network
Vs
A-B Fault
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A-B Fault: Calculate Test Impedance
Ω=+=+= 7399.17135.13021.02222 YXZ Tot
°−− === 00.80
3021.0
7135.1tantan 11
X
YZAng
Impedance is the same as an A-B-C Fault.
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A-B Fault: Calculate Test Quantities
[ ] ⎥⎦
⎤
⎢⎣
⎡=
⎥⎥
⎥
⎦
⎤
⎢⎢
⎢
⎣
⎡
2
2
1 1
1
α α
α α
a
c
b
a
I
I
I
I
Positive and Negative Sequence Components
[ ] ⎥⎦
⎤⎢⎣
⎡=
⎥⎥⎥
⎦
⎤
⎢⎢⎢
⎣
⎡2
2
Re1
1
α α
α α
lay
c
b
a
V
V
VV
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Test Current Ia
8660.0)120sin(*1)sin(*5.0)120cos(*1)cos(*
9848.0)80sin(*1)sin(*
1736.0)80cos(*1)cos(*
7135.1)80sin(*74.1)sin(*
302.0)80cos(*74.1)cos(*
55)120sin(*5.63)sin(*
75.31)120cos(*5.63)cos(*
Im
Re
Im
Re
Im
Re
Im
Re
===−===
===
===
===
===
===
−===
AngMag
AngMagal
sAngsMags
sAngsMagals
LineAngLineMagLine
LineAngLineMagalLine
nAngnMagLine
nAngnMagalLine
ZZZ
ZZZ
ZZZ
ZZZ
VVV
VVV
α α α
α α α
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Test Current Ia
( ) ( )
( ) ( )
22018040180
52.11
4080120
52.114798.5
5.63
00.809514.0
3966.5tantan
4798.53966.59514.0
3966.59848.07135.1*2*2
9514.01736.03021.0*2*2
12
12
1
1
1
Re
Im1
222Im
2Re
ImImIm
ReReRe
=+=+=
==
=−=−=
===
===
=+=+=
=+=+=
=+=+=
−−
AngaAnga
MagaMaga
ExpandAngnAngAnga
ExpandMag
nMag
Maga
alExpand
Expand
ExpandAng
ExpandalExpandExpandMag
sLineExpand
alsalLinealExpand
II
IIZVI
Z
VI
Z
ZZ
ZZZ
ZZZ
ZZZ
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Test Current Ia
°−− −=−
==
=−+=+=
−=−+−=+=
=+=+=
−===
===
−===
===
=+=+=
===
=+=+=
===
+=
5082.12
28.15tantan
94.19)28.15(82.12
28.15)94.3(34.11
82.1282.102
94.3)340sin(*52.11)sin(*
82.10)340cos(*52.11)cos(*
34.11)280cos(*52.11)sin(*
2)280cos(*52.11)cos(*
340220120
52.1152.11*1*
28040)120*2(*2
52.1152.11*1*
**********
1
Re
Im1
222
Im
2
Re
ImImIm
ReReRe
Im
Re
Im
Re
2
2
1
2
1
2
21
2
ala
aaAng
aalaaMag
aNegaPosa
alaNegalaPosala
aNegAngaNegMagaNeg
aNegAngaNegMagalaNeg
aPosAngaPosMagaPos
aPosAngaPosMagalaPos
AngaAngaNegAng
MagaaNegMag
AngaAngaPosAng
MagaMagaPosMag
aaa
I
II
AIII
III
III
III
III
III
III
II
II
II
II
III
α
α
α
α
α α
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Test Current Ib
°−− −=
−
==
=+−=+=
=+=+=
−=−+−=+=
===
−===
===
−===
=+=+====
=+=+=
===
+=
50
82.12
28.15tantan
94.1928.1582.12
28.1534.1194.3
82.12)2(82.10
34.11)460sin(*52.11)sin(*
2)460cos(*52.11)cos(*94.3)160sin(*52.11)sin(*
82.10)160cos(*52.11)cos(*
460220120*2*2
52.1152.11*1*
16040120
52.1152.11*1*
**********
1
Re
Im1
222
Im
2
Re
ImImIm
ReReRe
Im
Re
Im
Re
2
22
2
1
1
2
2
1
alb
bbAng
balbbMag
bNegbPosb
albNegalbPosalb
bNegAngbNegMagbNeg
bNegAngbNegMagalbNeg
bPosAngbPosMagbPos
bPosAngbPosMagalbPos
AngaAngbNegAng
MagaMagbNegMag
AngaAngbPosAng
MagaMagbPosMag
aab
I
II
AIII
III
III
III
IIIIII
III
II
II
II
II
III
α
α
α
α
α α
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Test Current Ic
0
0
=
=
cAng
cMag
I
I
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Test Voltage Va
03.6096.25
03.45tantan
97.5103.4596.25
03.4597.955
96.25)79.5(75.3197.9)120sin(*52.11)sin(*
76.5)120cos(*52.11)cos(*
1208040
52.111*52.11*
*****)*(*****
1
ReRe
ImRe1
222
ImRe
2
ReRe
ImReImIm
ReReReRe
ReReImRe
ReReReRe
1Re
1Re
1Re
−=−
==
=+−=+=
=−=−=
−=−−−=−=
===
−===
=+=+=
===
−=
−−
allay
lay
PosAng
layallayPosMag
layPosnPos
allayPosalnalPos
layPosAnglayPosMaglayPos
layPosAnglayPosMagallayPos
sAngAngalayPosAng
sMagMagalayPosMag
sanlayPos
V
VV
VVV
VVV
VVVVVV
VVV
ZIVZIV
ZIVV
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Test Voltage Va
97.9)480sin(*52.11)sin(*
76.5)480cos(*52.11)cos(*
48080180220180
52.111*52.11*
***********
ReReIm
ReReRe
2
2
1Re
===
−===
=++=++=
===
−=
layNegAnglayNegMagNeg
layNegAnglayNegMagalNeg
sAngAngaNegAng
sMagMagaNegMag
salayNeg
VVV
VVV
ZIV
ZIV
ZIV
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Test Voltage Va
°−− −=−
==
=−+=+=
−=−+=+=
=−+=+=
−===
−======
===
=+=+=
===
=++=
===
+=
17.1221.46
97.9tantan
27.47)97.9(21.46
97.9)97.9(0
21.46)76.5(97.51
97.9)600sin(*52.11)sin(*
76.5)600cos(*52.11)cos(*0)360sin(*97.51)sin(*
97.51)360cos(*97.51)cos(*
600480120
52.1152.11*1*
360120240*2
97.5197.51*1*
**********
1
Im
Re1
222
Im
2
Re
ImImIm
ReReRe
Im
Re
Im
Re
22
ReRe
2
a
ala
aAng
aalaaMag
aNegaPosa
alaNegalaPosala
aNegAngaNegMagaNeg
aNegAngaNegMagalaNeg
aPosAngaPosMagaPos
aPosAngaPosMagalaPos
NegAngAngaNegAng
NegMagMagaNegMag
PosAngAngaPosAng
PosMagMagaPosMag
layNeglayPosa
V
VV
VVVV
VVV
VVV
VVV
VVVVVV
VVV
VV
VV
VV
VV
VVV
α
α
α
α
α α
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Test Voltage Vb
°−− =
−
−==
=−+−=+=
−=+−=+=
−=+−=+=
===
===
−===
−===
=+=+====
=+=+=
===
+=
18.72
465.14
45tantan
26.47)00.45(465.14
00.45000.45
465.1452.11985.25
0)720sin(*52.11)sin(*
52.11)720cos(*52.11)cos(*
00.45)240sin(*97.51)sin(*
985.25)240cos(*97.51)cos(*
720480120*2*2
52.1152.11*1*
240120120
97.5197.51*1*
***********
1
Re
Im1
222
Im
2
Re
ImImIm
ReReRe
Im
Re
Im
Re
Re
Re
Re
Re
Re
2
Re
alb
bbAng
balbbMag
bNegbPosb
albNegalbPosalb
bNegAngbNegMagbNeg
bNegAngbNegMagalbNeg
bPosAngbPosMagbPos
bPosAngbPosMagalbPos
layAngbNegAng
layNegbNegMag
layAngbPosAng
layPosbPosMag
layNeglayPosb
V
VV
VVVV
VVV
VVV
VVV
VVVVVV
VVV
VV
VV
VV
VV
VVV
α
α
α
α
α α
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Test Voltage Vc
°−−
−=−==
=+−=+=
=+=+=
−=−+−=+=
+=
02.6072.31
55
tantan
49.635572.31
5597.903.45
72.31)76.5(96.25
**********
1
Re
Im1
222
Im
2
Re
ImImIm
ReReRe
ReRe
alc
c
cAng
calccMag
NegPosc
alNegalPosalc
layNeglayPosc
V
V
V
VVVV
VVV
VVV
VVV
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A-B Fault Test Quantities
The angles need one last adjustment. Remember:
If IReal or VReal > 0 and IIm or VIm >0 then the angle is tan-1 Imaginary/Real
If IReal or VReal < 0 and IIm or VIm > 0 then you need to add 180 to the angle.
If IReal or VReal < 0 and IIm or VIm < 0 then you need to add 180 to the angle.If IReal or VReal > 0 and IIm or VIm < 0 then you need to add 360 to the angle.
This correction will keep your values in the correct quadrant.
Ia Ib Ic Va Vb Vc
Magnitude 19.94A 19.94A 0A 47.27V 47.26V 63.49V
Angle‐50°
‐50° 0°
‐12.17° 72.19°
‐60.02°
Ia Ib Ic Va Vb Vc
Magnitude 19.94A 19.94A 0A 47.27V 47.26V 63.49V
Angle 310 30 0° 347.83 252.19 119.98
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A-G FaultSystem Parameters:
Positive Sequence Line Impedance: ZL = 5 Ω
Positive Sequence Line Angle: ZLAng = 80°
Zone 1 Reach: Z Lmag = 1.74Nominal Voltage: V n = 63 .5V
Nominal Voltage Angle: V nAng = 0
Source Impedance: 20% of Line Impedance Z S = 1 Ω
Source Angle: Z SAng = 80°
Zero Sequence Magnitude Compensation: K 0M = 0.991
Zero Sequence Angle Compensation: K 0 = -8.56
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Zs1 ZL1
VR1 VF1
Zs2 = Zs1
VR2 VF2
IR1
IR2
Zs0
VR0 VF0
IR0
ZL0
ZL2 = ZL1
Positive,
Negative,
and Zero
Sequence
Networks
Vs
A-G Fault
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A-G Fault: Calculate Test ImpedanceThe k0 factor is now
introduced. This is the
compensation due to the extra
ground impedance seen bythe relay.
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A-G Fault: Calculate Test Impedance
LAngNewsAng
LinesMag
AngLAngLAngNew
MagLineNew
AM
AMAng
AMAMMag
ZZZZ
ZeroCompZZ
ZeroCompZZ
kk
kkZeroComp
kkkkZeroComp
==
+==
+=
++=
−
*2.0
*
))cos(*(1
)sin(*tan
))sin(())cos(1(
00
001
2
00
2
00
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A-G Fault: Calculate Test Impedance
°
−
=
Ω=
=−+=
==
−=−+
−=
=−+−+=
8278.60
1
8278.60)1722.19(80
4452.398.1*74.1
1722.19))56.8cos(*991.0(1
)56.8sin(*991.0tan
98.1))56.8sin(*991.0()))56.8cos(*991.0(1(
1
22
sAng
sMag
LAngNew
New
Ang
Mag
Z
ZZ
Z
ZeroComp
ZeroComp
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A-G Fault: Calculate Test Impedance
al
Ang
al
Mag
News
alNewalsal
LAngNewNewNew
LAngNewNewalNew
sAngsMags
sAngsMagals
Radius
RadiusComp
RadiusRadiusRadius
ZZRadius
ZZRadius
ZZZ
ZZZ
ZZZ
ZZZ
Re
Im1
2
Im
2
Re
ImImIm
ReReRe
Im
Re
Im
Re
tan
2
)sin(*
)cos(*
)sin(*
)cos(*
−=
+=
+=
+=
=
=
=
=
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A-G Fault: Calculate Test Impedance
X YZ
YXZ
CompAngleRadius TestAngleRadius Y
CompAngleRadius TestAngleRadiusX
Ang
Tot
MagMag
MagMag
1
22
tan
)sin(*)sin(*
)cos(*)cos(*
−=
+=
+=
+=
°− ==
Ω=+=
=+=
=+=
77.60167.2
8726.3tan
43.48726.3167.2
8726.3)77.60sin(*2189.2)77.60sin(*2189.2
167.2)77.60cos(*2189.2)77.60cos(*2189.2
1
22
Ang
Tot
Z
Z
Y
X
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A-G Fault: Calculate Test Quantities
[ ]⎥⎥
⎥
⎦
⎤
⎢⎢
⎢
⎣
⎡
=
⎥⎥
⎥
⎦
⎤
⎢⎢
⎢
⎣
⎡
2
2
1
1
1
111
α α
α α a
c
b
a
I
I
I
I
Positive, Negative, and Zero Sequence Components
[ ]⎥⎥⎥
⎦
⎤
⎢⎢⎢
⎣
⎡
=
⎥⎥⎥
⎦
⎤
⎢⎢⎢
⎣
⎡
2
2
Re
1
1
111
α α
α α lay
c
b
a
V
V
V
V
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Adjustments for k0
)sin(*
)cos(*
)sin(*
)cos(*
)sin(*
)cos(*
/
)sin(*
)cos(*
Im
Re
Im
Re
Im
Re
Im
Re
AngMag
AngMagal
sAngsMags
sAngsMagals
LineMagLine
LineMagalLine
Mag TotLineMag
LineAngnLine
LineAngnalLine
ZZZ
ZZZ
TestAngleZZ
TestAngleZZZeroCompZZ
VVV
VVV
α α α
α α α
=
=
=
=
=
==
=
=
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More Adjustments for k0
al
Ang
alMag
AngMag
AngMagal
K
K K
K K K
kkK kkK
kK
Re
Im1
2
Im
2
Re
00Im
00Re
0
tan
)0sin(*1)sin(**3)0cos(*1)cos(**3
*****1)*3(*****
−=
+=
+=+=
+=
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Final Adjustments for k0
AngAngtAng
MagMagtMag
al
Ang
alMag
al
Ang
alMag
AngMag
AngMagal
sL
alsalLal
sLinet
CompZZ
CompZZ
CompCompComp
CompCompComp
Z
ZZ
ZZZ
K K CompK K Comp
ZZZ
ZZZ
K ZZZ
+=
+=
=
+=
=
+=
+=+=
+=
+=++=
−
−
Re
Im1
2
Im
2
Re
Re
Im1
2
Im
2
Re
Im
Re
ImImIm
ReReRe
tan
tan
)sin(*)0sin(*2
)cos(*)0cos(*2
*****)2(*)(*****
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Test Current Ia, Ib, and Ic
0
0
*3
**********
1
1
1
1
1
=
=
=
=
−=
=
=
c
b
AngaaAng
MagaaMag
tAngnAngAnga
thMag
nMag
Maga
th
na
I
I
II
II
ZVI
Z
VI
Z
VI
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Test Voltage Va
allay
lay
layAng
layallaylayMag
layPosnlay
allayPosalnallay
layPosAnglayPosMaglayPos
layPosAnglayPosMagallayPos
sAngAngalayPosAng
sMagMagalayPosMag
nAngnn
nAngnaln
sanlayPos
V
VV
VVV
VVV
VVV
VVV
VVV
ZIV
ZIV
VVV
VVV
ZIVV
ReRe
ImRe1
Re
2
ImRe
2
ReReRe
ImReImImRe
ReReReReRe
ReReImRe
ReReReRe
1Re
1Re
Im
Re
1Re
tan
)sin(*
)cos(*
*
)sin(*
)cos(*
*****)*(*****
−=
+=
−=
−=
=
=
+=
=
=
=
−=
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Test Voltage Va
)sin(*
)cos(*180
**
*****)*******
)sin(*
)cos(*
180
*
*****)******
ReReImRe
ReReReRe
1Re
1Re
1Re
ReReImRe
ReReReRe
1Re
1Re
1Re
layZeroAnglayZeroMaglayZero
layZeroAnglayZeroMagallayZero
AngsAngAngalayZeroAng
MagsMagMagalayZeroMag
salayZero
layNegAnglayNegMaglayNeg
layNegAnglayNegMagallayNeg
sAngAngalayNegAng
sMagMagalayNegMag
salayNeg
VVV
VVVK ZIV
K ZIV
K ZIV
VVV
VVV
ZIV
ZIV
ZIV
=
=
+++=
=
−=
=
=++=
=
−=
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Test Voltage Va
ala
alayAng
aalaaMag
layZerolayNeglayPosa
allayZeroallayNegallayPosala
layZerolayNeglayPosa
V
VV
VVV
VVVVVVVV
VVVV
Re
Im1
Re
2
Im
2
Re
ImReImReImReIm
ReReReReReReRe
ReReRe
tan
**********
−=
+=
++=
++=
++=
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Test Voltage Vb
alb
bbAng
balbbMag
layZerobNegbPosb
allayZeroalbNegalbPosalb
bNegAngbNegMagbNeg
bNegAngbNegMagalbNeg
bPosAngbPosMagbPos
bPosAngbPosMagalbPos
layAngNegAngbNegAng
layMagNegMagbNegMag
layAngPosAngbPosAng
layMagPosMagbPosMag
layZerolayNeglayPosb
V
VV
VVV
VVVV
VVVV
VVV
VVVVVV
VVV
VV
VV
VV
VV
VVVV
Re
Im1
2
Im
2
Re
ImReImImIm
ReReReReRe
Im
Re
Im
Re
Re
Re
Re
Re
2
ReReRe
2
tan
)sin(*
)cos(*)sin(*
)cos(*
*
)*2(
*
**********
−=
+=
++=
++=
=
=
=
=
+=
=
+=
=
++=
α
α
α
α
α α
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Test Voltage Vc
alc
ccAng
calccMag
layZerobNegbPosc
allayZeroalcNegalcPosalc
cNegAngcNegMagcNeg
cNegAngcNegMagalcNeg
cPosAngcPosMagcPos
cPosAngcPosMagalcPos
layAngNegAngcNegAng
layMagNegMagcNegMag
layAngPosAngcPosAng
layMagPosMagcPosMag
layZerolayNeglayPosb
V
VV
VVV
VVVV
VVVV
VVV
VVVVVV
VVV
VV
VV
VV
VV
VVVV
Re
Im1
2
Im
2
Re
ImReImImIm
ReReReReRe
Im
Re
Im
Re
Re
Re2
Re
Re
ReRe
2
Re
tan
)sin(*
)cos(*)sin(*
)cos(*
)*2(
*
*
**********
−=
+=
++=
++=
=
=
=
=
+=
=
+=
=
++=
α
α
α
α
α α
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A-G Fault Test Quantities
The angles need one last adjustment. Remember:
If IPosReal or VPosReal > 0 and IPosIm or VPosIm >0 then the angle is tan-1 Imaginary/Real
If IPosReal or VPosReal < 0 and IPosIm or VPosIm > 0 then you need to add 180 to the angle.
If IPosReal or VPosReal < 0 and IPosIm or VPosIm < 0 then you need to add 180 to the angle.
If IPosReal or VPosReal > 0 and IPosIm or VPosIm < 0 then you need to add 360 to the angle.
ANYTIME YOU SEE TAN-1 YOU NEED TO DO THESE CORRECTIONS!!!
Ia Ib Ic Va Vb Vc
Magnitude A A A V V V
Angle ° ° ° ° ° °
Ia Ib Ic Va Vb Vc
Magnitude A A A V V V
Angle ° ° ° ° ° °
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Email me at:
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End-to-End Testing
Chris Werstiuk, Manta Test Systems
End-to-End Testing
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Chapter 1Introduction to End-to-End Testing
End-to-end testing is considered to be the ultimate test for protective relay protection schemes with
two or more relays who communicate trip and blocking information with each other. These schemesare designed to provide more accurate fault detection to more quickly isolate faults from the rest of
the electrical system. End-to-end testing can provide the most realistic fault simulations to prove relay
protection schemes before placing them into service and this test technique is becoming more and
more popular, especially as the National Electrical Reliability Council (NERC) and other regulatory
agency standards are becoming more stringent. One excerpt from the NERC requirements includes
the following text that almost requires end-to-end testing to be performed on every new installation
“At installation, the acceptance test should be performed on the complete relay scheme in addition to
each individual component so that the adequacy of the scheme is verified.”
This seminar will introduce the theory and practice of end-to-end relay testing from the relay tester’s
perspective. The following descriptions in this section will provide an overview of end-to-end testing
followed by detailed information for the most commonly applied protective schemes.
1. What is End-to-End Testing?End-to-End Testing uses two or more test-sets at multiple locations to simulate a fault at every
end of a transmission line simultaneously to evaluate the entire protective relay scheme as a
whole. This test technique used to require specialized knowledge and equipment to perform, butthe modern test-sets of today make it a relatively simple task. Review figure 1 for an overview of
the equipment and personnel required for a typical end-to-end test using a simple transmission
line with two ends or, as they’re sometimes called, nodes. It is possible to have a system with
three or more nodes which simply adds another location to the test plan.
End-to-End Testing
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TS
TS
21
Z3
21
Z2
21
Z1
RLY-1
TX1
RX1
21
Z3
21
Z2
21
Z1
RLY-2
TX1
RX1
TS TS
TS
TS
GPS
ANTENNA
COMM
GPS
ANTENNA
TIME = 0:0:0TIME = 0:0:0
Figure 1: End-to-End Testing Summary
The following components are necessary for the relay tester to perform a successful end-to-end
test for an in-service application:
1. A relay test-set for each location with a minimum of:
¾ three voltage channels
¾ three current channels
¾ at least one programmable output to simulate breaker status or other external signals
¾ at least one programmable input to detect trip or breaker status signals
¾ An internal GPS clock (Some test-sets allow for other time signal synchronizations suchas IRIG) or an external GPS clock with output signal and an additional test-set start input.
¾ Waveform playback or fault state/state simulator with at least 3 states available.
2. Some test-sets require a computer to control the test-set playback or state functions
3. A computer and software to download and display event records obtained from the relay
after each test.
4. At least one relay tester at each location with some form of communication between the two
locations such as telephone or over-network communication. It is possible, but not
recommended, for one person to perform all tests if the relay, relay test-sets, andcommunication systems have all been configured properly.
5. A setting file, waveform, or detailed description of the specific test scenarios.
6. An understanding of the relay protection scheme and what the expected result for each test
should be.
End-to-End Testing
The relay testers at each end of the line perform the following steps when performing an end-to-
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y p g p p g
end test:
1. Obtain test cases from the engineer and review them to find obvious errors and determine
what the expected results should be.2. Isolate the equipment under test
3. Connect appropriate input and output connections.
4. Connect test equipment to replace Current Transformer (CT)/Potential Transformer (PT)
connections.
5. Setup GPS antenna and apply GPS time as test-set reference. (Or use other reference such asIRIG, if required)
6. Communicate with remote testers and apply meter test on all sides and verify correct results.
7. Communicate with remote sides and determine which test plan will be used for test
8. Load test case into all test-sets9. Place all circuit breakers in the correct positions or ensure circuit breaker contacts are
properly simulated by the test-set.
10. Communicate start time with all sides and initiate test.
11. Review targets for correct operation and download all event records. Review event records
for correct operation, if required.
12. Repeat from step 7-11 for all test cases.
2. Why Do We Perform End-to-End Testing?The most effective transmission line protection using today’s technologies is achieved by
installing protective relays at each end of the line that constantly trade information about the
power system through a communication channel. Any disturbance is communicated to the other
relays which will cause the protection to operate more quickly depending on the protection
scheme used and the apparent location of the fault. These protection schemes, when applied
correctly, can make the transmission line protection more reliable and more selective than is
possible with a single relay or a series of relays that cannot communicate.
While it is possible to test each of the individual components separately, many problems canonly be detected when the entire scheme is tested as a whole. It is possible to test one side at a
time which can give the tester a reasonable sense that the scheme will operate successfully on a
proven relay settings, but many problems with communication-assisted protection occur when
the fault changes directions or by incorrectly defined communication delays which are inherent
in the system. These problems can only be detected by properly applied end-to-end testing or a
review of an incorrect relay operation after a fault.
End-to-end testing could be considered daunting a decade ago; but advances in relay testing
technology and personal computers have reduced the complexity to a couple of extra steps for areasonably experienced relay tester.
End-to-End Testing
3 How does it work?
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3. How does it work?Most system disturbances occur within 1 millisecond and modern protective relays must be able
to detect faults within this time frame to be effective. Practical experience has shown that twotest-sets must start within 10 microseconds of each other to provide reliable results. This causes a
problem for multiple relay testers at multiple locations because it is nearly impossible for two
relay testers at two different locations to press start within 10 µs. One way to synchronize the
start time of two test-sets would be to connect some sort of dedicated communication means
such as a pilot wire (short distances only) or dedicated fiber-optic connection between the two
remote test-sets but this method requires forethought and additional costs to the installer. These
dedicated circuits could also become obsolete if the system configuration changes in the future
so this method is rarely available. The remote relay testers could use the power system itself to
synchronize the two test-sets but this method could add up to 1 ms or 22° error to the test whichis not within the 10 µs tolerance required for consistent results. It would be difficult to determine
whether the protective system operated because of a problem, or the difference between start
times.
End-to-end testing became a viable test technique for everyone when the U.S. Armed Forces
allowed non-military access to the time signals sent by a system of satellites which comprise the
Global Positioning System (GPS). This system operates by obtaining the time signal and general
location of at least four satellites and comparing the differences between time and distance to
determine the antenna’s location within a few meters. Time can be synchronized within 1 µs
anywhere that 4 satellites are available. Most modern test equipment can specify synchronization
within 2 µs which is within the maximum allowable time delay by a factor of 5.
Once two test-sets have synchronized time sources, at least two fault states are applied with
information from a fault simulator program. The first fault state provides a pre-fault conditionwhich would be the normal current, voltage, and phase angle for the transmission line under test.
After a pre-determined time, both test-sets would switch to the second state simultaneously
which simulates a fault. It is important to note that every side of the transmission line will havedifferent values depending on the location of the fault and the power sources around the
transmission line. It is vital that the correct fault simulations be applied to the correct relays.
These fault states could be combined into one file, typically COMTRADE (I.E.E.E. standard
IEEE C37.111 for waveform files), and played back into the relay or created using fault
information and manually entered into fault simulations. If the fault has been properly simulated
at all locations simultaneously, the protective relays should operate as if a fault occurred on the
system. The results are evaluated to ensure the protective relays and communication equipment
is functioning correctly as a unit.
It is also important to note that different test-set manufacturers and test-set models may be
synchronized to the same time source but may not start outputting the test at the same moment
due to internal time delays and/or external I/O time delays, if used. Always consult with the relay
test-set manufacturers if two different models of test-sets will be used for end-to-end testing on
li t d t i if ti f t t b li d Diff t d l f th
End-to-End Testing
4 Whereshould I performEnd to End Testing?
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4. Where should I perform End-to-End Testing?End-to-end testing should be performed whenever it would be beneficial to test an entire
protection scheme in real-time to make sure the all equipment will operate correctly whenrequired. This test technique need not be limited to transmission lines but could be applied to all
of the feeders in a substation by installing a test-set at each feeder’s protective relay and starting
a fault simulation to be played into all relays simultaneously to ensure that the scheme works as
intended.
5. When Should I Perform End-to-End Testing?End-to-end testing appears to be mandated by the NERC requirement quoted earlier and all new
installations with remote communication between relays should be tested via end-to-end testing.
This test technique can also be a useful and effective maintenance test if end-to-end testing was
performed during the relays’ commissioning. There can be no more effective way of ensuring
the entire protection scheme than re-playing the same number of tests into the protection system
and observing the same results. Performed correctly, using this test technique for maintenance
tests can be more efficient as well.
Chapter 2Detailed End-to-End Testing ProceduresThis section will provide more detailed information about each step of the end-to-end testing
procedure described as:
1. Obtain and Review Test Cases2. Isolate Equipment Under Test
3. Connect Appropriate Input and Output Connections.
4. Connect Test Equipment To Replace CTs/PTs
5. Setup GPS Antenna
6 A l M T
End-to-End Testing
1 Obt i dR i T tC
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1. Obtain and Review Test Cases
End-to-end testing usually performs many different test cases simulating faults at various
locations along and around the transmission line using a mix of the most common fault types
(Phase to Neutral, Phase to phase, and three-phase). Some additional test cases are performed
outside the protected zone also to ensure that the relay will not trip.
The traditional distance protection settings for a distance relay are as follows and displayed in
figure 2 assuming a 10Ω transmission line:
¾ Zone-1 = 80% of the transmission line with no intentional delay.
¾ zone-2 = 125% of the transmission line with approximately a 20 cycle delay
¾ Zone-3 = Site specific percentage in the reverse direction.
TS
21Z3
21
Z2
21
Z1
RLY-1
TX1
RX1
RLY-1 ZONE 1
RLY-1 ZONE 2
RLY-2 ZONE 2
RLY-1 ZONE 3 RLY-2 ZONE 3
RLY-3 ZONE 1
RLY-3 ZONE 3
RLY-4 ZONE 2
RLY-4 ZONE 3
TS
21
Z3
21
Z2
21
Z1
RLY-3
TX1
RX1
TS
21
Z3
21
Z2
21
Z1
RLY-2
TX1
RX1
TS
21Z3
21
Z2
21
Z1
RLY-4
TX1
RX1
RLY-3 ZONE 2
RLY-4 ZONE 1
RLY-2 ZONE 1
TSTS TS TS
TS TSTSTS
Figure 2: Typical Distance Protection Settings
A typical series of tests verifies the relays’ operation at key locations along the transmission line
slightly above and below the pickup settings for each zone. For example, the first two tests
would be performed at 75% (7.5Ω) and 85% (8.5Ω) from RLY-1 to test the zone #1 protection
of RLY-1. The second two tests would be performed at 75% and 85% from RLY-2 or 1.5Ω and
2.5Ω from RLY-1 to test zone-1 protection of RLY-2. Another 4 tests would be performed to
test the zone-2 protection of both relays at 120% and 130% from relays RLY-1 and RLY-2.Another two to four tests are performed to test zone-3 if zone-3 is enabled. A final test can be
performed to ensure that the relays will not operate due to a sudden phase reversal when a fault
occurs on one of two parallel lines.
1 23 5 4 7 8 116910
End-to-End Testing
While it is possible to manually calculate all of these points on a radial (only one source)
transmission line knowing the line length and settings these manual calculations do not include
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transmission line knowing the line length and settings, these manual calculations do not include
the source impedance which will affect the pre-fault, fault values, and relay operation. The
calculations become very complicated when the transmission line has more than one source
available. These complications make test-case creation beyond the average relay tester and test
cases should be supplied by the design engineer. The design engineer should have the electrical
system modeled by a power system simulator and it should be relatively easy for them to choose
the test case parameters and export the results as a waveform or fault-state data. The test cases
should be submitted to the testing team with a description of the expected results for each test,another reason why this information should be supplied by the design engineer.
Each test case can be supplied to the relay tester as a single file containing waveform data for
both relays or as separate files for each relay under test. It is very important that the channels or
files are labeled correctly to ensure the correct parameters are applied at each location during thetest. Contact the relay test-set manufacturer to learn how to play waveform files and choose theappropriate channels.
Waveform data can be the simplest way to perform end-to-end testing when everything is
working properly. There are additional benefits to waveform testing such as simulating system
distortions that typically occur during a real fault such as transients, DC offset, or CVT
distortions. The design engineer exports the data into COMTRADE format for each test case and
sends the files to the relay tester. The relay testers open the file in their respective test-sets, check
to ensure the correct channels are used, and run the tests. If the relays respond correctly, the relaytesters save the data and move on to the next test. However, it can be difficult for two relay
testers at two different locations to troubleshoot problems in the test plan itself because they
cannot compare the two waveforms side-by-side to find any gross errors.
Supplying test cases as data can be tedious for the design engineer and the relay tester depending
on the system modeling software used and the intended test-set. Ideally, the design engineer
exports the data as a file like the waveform method described previously and that file is imported
into the test-set without difficulty. This ideal situation is often not the case and some
intermediary software may be required for the conversion process. The information could also be
manually entered into the test-set software. This method provides better documentation of the
tests and allows the relay testers at different locations to quickly compare the test cases to find
gross errors; but it can be more time consuming and prone to simple conversion errors.
End-to-End Testing
An example test case with identical parameters is shown below using both methods.
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RLY-1
Values Angle Values Angle Values Angle Values Angle
VA 132.79 0 110.9 -1 132.79 0 66.4 0.0 55.5 -1.0 66.4 0.0
VB 132.79 -120 110.9 -121 132.79 -120 66.4 -120.0 55.5 -121.0 66.4 -120.0
VC 132.79 120 110.9 119 132.79 120 66.4 120.0 55.5 119.0 66.4 120.0
IA 200 -10 4452 -81 0 0 0.50 -10.0 11.13 -81.0 0.00 0.0
IB 200 -130 4452 159 0 0 0.50 -130.0 11.13 159.0 0.00 0.0
IC 200 110 4452 39 0 0 0.50 110.0 11.13 39.0 0.00 0.0
RLY-2
Values Angle Values Angle Values Angle Values Angle
VA 132.79 0 119.17 -1 132.79 0 66.4 0.0 59.6 -1.0 66.4 0.0
VB 132.79 -120 119.17 -121 132.79 -120 66.4 -120.0 59.6 -121.0 66.4 -120.0
VC 132.79 120 119.17 119 132.79 120 66.4 120.0 59.6 119.0 66.4 120.0
IA 200 170 4784 -81 0 0 0.33 170.0 7.97 -81.0 0.00 0.0
IB 200 50 4784 159 0 0 0.33 50.0 7.97 159.0 0.00 0.0
IC 200 -70 4784 39 0 0 0.33 -70.0 7.97 39.0 0.00 0.0
Load from Bus t o Lin e (SOURCE BUS for Prefault)
Load from L ine to Bus (LOAD BUS for Prefault)
PRE FAULT FAULT 1 Post Fault
Secondary
Test Set
Secondary
Test Set
Secondary Test
Set
Aspen OutputPre Fault
Aspen OutputFault 1
Aspen OutputFault 2
Aspen OutputPost Fault
FAULT 1Secondary
Test Set
Post FaultSecondary Test
Set
Secondary
Test Set
Aspen Output
Pre Fault PRE FAULT
Aspen Output
Fault 1
Aspen Output
Fault 2
Aspen Output
Post Fault
Figure 4: Example Test Plan using Raw Data
Figure 5: RLY-1 Test Case as Waveform
End-to-End Testing
Always perform a quick check of the test voltage and current angle when reviewing the test
cases Pre-fault and un-faulted voltages in fault states should have similar phase angles on both
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cases. Pre fault and un faulted voltages in fault states should have similar phase angles on both
ends. Pre-fault current and out-of-zone current phase angles should be opposite or approximately
180º from each other. Faults on the transmission line should have similar phase angles. The
following pre-fault vectors and waveforms are typical for a properly configured pre-fault
condition.
Figure 7: RL Y-1 Pre-Fault Vectors Figure 8: RL Y-2 Pre-Fault Vectors
Figure 9: RLY-1 Internal Fault Vectors Figure 10: RLY-2 Internal Fault Vectors
Fi 11 RLY 1 E t l F lt V t Fi 12 RLY 2 E t l F lt V t
End-to-End Testing
RLY-1 Ia@-20 degrees RLY-1 Ia@-85 degrees
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RLY-2 Ia@ 160 degrees
RLY-1 Va@ 0 degrees
RLY-2 Va@ 0 degrees
Figure 13: Pre-Fault Waveform
RLY-2 Ia@ -84 degrees
RLY-1 Va@ -1 degrees
RLY-2 Va@ -1 degrees
Figure 14: Internal Fault Waveform
RLY-1 Ia@-82 degrees
RLY-2 Ia@ 98 degrees
RLY-1 Va@ -4 degrees
RLY-2 Va@ -5 degrees
Figure 15: External Fault Waveform
2. Isolate Equipment Under TestAn ideal end-to-end test requires the transmission line to be completely isolated by disconnect
switches outside the zone of protection. This allows the circuit breakers to operate in order to
prove the entire protective scheme as shown in the following figure.
TS
21
TS
21
TS TS
TS TS
TS
21
TS
TS
TS
21
TS
TS
End-to-End Testing
It is possible to perform end-to-end tests without isolating the line but special care must be taken
to ensure that the circuit breakers remain closed throughout the test and that backup protection
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g p p
systems are available. Online end-to-end testing is performed by isolating the primary protection
via test switches while the backup protection remains online, providing protection for the
transmission line while the tests are performed. Simulating breaker status contacts is required
and often difficult as test switches may not be available for breaker status inputs to the relay
depending on the location and local utility standards. After the primary protection is tested, it is
carefully placed back into service and the process is repeated for testing the backup protection.
3. Relay Input / Output ConnectionsCarefully review the drawing to make sure all output contacts are accounted for and open any
test switches, panel circuit breakers, fuses, etc. necessary to prevent unintended equipment
operation. The circuit breaker position, relay operation, or metering values applied during testingcould have unforeseen consequences in an external plant-wide logic controller causing
embarrassing and expensive outages if appropriate measures are not taken.
There are several ways to connect relay output contacts to the test-set depending on the test-set
and the field connections. The simplest connection applies the test-set input contacts directly
across the relay’s output contacts. With test switches, this is a simple task as shown in figure 17.
TS-52-5-DC1 switches A and B are opened and the test-set input is connected at the test
switches or on the relay itself. Test switches are nice but not always available, and a test-set
input can be connected across the contact without test switches as shown on the right side of Figure 17. Check with the test-set manufacturer before attempting this connection. Some relay
manufacturer inputs are polarity sensitive and may need to be reversed if the test-set senses the
contact is closed when it is actually open. If the circuit breakers will operate during the test, the
test switches should be closed to allow the trip signal to operate the circuit breaker’s trip coil.
Open the test switches if the breaker is not intended to operate during the test.
R1TRIP
50+51
E2
F2
TS-52-5-DC1
4
3
TB1-7TD
TS-52-5-DC1
1
2
TB1-6
RELAY TEST SET
+ Timer
Input
R8
SELF
TEST
E12
F12
R7
AUX
50+51+27
E11
F10
RSD
TB1-3
TB1-5TB1-4
RELAY TEST SET
+ Timer
Input
125V+
End-to-End Testing
contact in the following figures is connected in parallel with the “DCS close” contact. If the DCS
contact closes when the test switches are closed, the relay input will sense contact closure. This
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problem is easily solved by opening either of the test switches. One wire must be removed when
no test switches are provided. Figure 18 displays the different options when contacts are
connected in parallel.
R2
CLOSE
PB
E3
F3
8
7
5
6
TB1-8
DCS1
DCS
CLOSE
DCS2
TB1-9
TS-52-5
DC1
TS-
52-5
DC1
RELAY TEST SET
+ Timer
InputCLOSED
STATUS R2
CLOSE
PB
E3
F3
8
7
5
6
TB1-8
DCS1
DCS
CLOSE
DCS2
TB1-9
TS-
52-5
DC1
TS-
52-5
DC1
RELAY TEST SET
+ Timer
InputOPEN
STATUS
R2CLOSE
PB
E3
F3
8
7
TB1-8
DCS1
DCS
CLOSE
DCS2
TB1-9
TS-52-5
DC1
RELAY TEST SET
Timer
InputOPEN
STATUS R2CLOSE
PB
E3
F3
TB1-8
DCS1
DCS
CLOSE
DCS2
TB1-9
RELAY TEST SET
Timer
InputOPEN
STATUS++
Figure 18: Test-set Input Connections with Contact in Parallel
Most test-set manufacturers also allow voltage-monitoring inputs to reduce wiring changes whentesting. Instead of monitoring whether a contact is closed or open, the voltage-monitoring option
determines that the contact is closed when the measured voltage is above the test-set’s defined
setpoint. The test-set assumes the contact is open if the measured voltage is below the setpoint.
Another connection is required when using voltage-detecting, test-set inputs when the correct
contact state is necessary. Any of the test-set connections in figure 19 can be used when voltage
is required for contact sensing.
Starting from the left, The R2 timer is connected between TB1-9 and TB3-6 (negative circuit)
with closed output contact test switches. When R2 and “DCS close” are open, the voltage
between the two terminals should be negligible and the relay will detect an open contact. When
R2 or “DCS close” closes, the relay will detect 125VDC across the contacts and the test-set will
detect a closed contact Be wary of this connection because the circuit breaker will close if the
End-to-End Testing
applications) Obviously this connection will only work when the DC system is grounded at the
midpoint, as most DC systems are. This connection is also safe as the connected 86-5 lockout
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will not operate when the contact is operated.
125Vdc
CT#4DC PANEL A
R3AUX
27
E4
F4R2CLOSE
PB
E3
F3
R1
TRIP
50+51
E2
F2
12
11
8
7
4
3
52-5
9
10
5
6
1
2
TB1-6DC+
DC-
TB1-8
DCS1
DCS
CLOSE
DCS2
TB1-9
43AUTO
52
53
11
86-5
13
SR
Y
LS
b
Y
M
LS b
3 7 8
4
1
52-5
TOC
2
TB3-3
TB3-4
CS
CLOSE
16
17
43MANUAL
22
21
1
52-5
TOC
2
TB3-5
G
+
-
TB3-3
TB3-6
TB3-11
G
F
86-5
C
B
86-5
E2
F2
4
3
1
2
TB1-10
TS-52-5-DC1
TS-52-5-DC1
TS-86-1
TS-86-1
TB1-11
TS-52-5-DC1
TS-52-5-DC1
TRIP
a
18
TB3-9
17
TB1-7
CSTRIP
11
18
TS-52-5
DC1
TS-52-5
DC1RELAY TEST SET
TimerInput
+
RELAY TEST SET
TimerInput
+
R2
R3
RELAY TEST SET
TimerInput
+
R1
Figure 19: Test-set Input Connections in DC Circuit
NEVER apply the following connection in a trip circuit unless there will be no negative results if
the circuit is completed and operates. Some test-set sensing contacts have a low impedance and
will complete the circuit.
End-to-End Testing
DC+
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R1TRIP
50+51
E2
F2
4
3
1
2
DC-
G
F
C
B
TS-52-5-DC1
TS-52-5-DC1
TB1-7
RELAY TEST SET
Timer
Input
+
R1
3
Figure 20: Dangerous Test-set Input Connection in Trip Circuit
Always review the manufacturer’s literature when performing digital input testing because relayscan be unforgiving when not correctly connected and cause some embarrassing and expensive
smoke to be released. These connections should also be carefully compared to the application to
ensure they are connected properly before applying voltage to the circuit. Figures 21, 22 and 23show some typical examples of input connections from different relay manufacturers.
Figure 21 from the Beckwith Electric M-3310 manufacturer’s bulletin displays the connections
for relay input connections. The field input contact is “dry” and the sensing voltage is supplied
by the relay itself. Any external voltage connected in this circuit could damage the relay. The
test-set dry output contact or jumper would be connected between terminals 10 and 11 to
simulate an IN 1 input.
Figure 22 from the SEL 311C manufacturer’s bulletin shows that this relay requires “wet”
inputs. An external voltage must be connected before the relay will detect input operation.
End-to-End Testing
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Figure 21: M-3310 Relay Input Connections Figure 22: SEL 311C Input Connections
The GE Multilin SR-750 relays can have “wet” or “dry” contacts connected as shown in Figure
23 from the manufacturer’s bulletin. Relays that can accept both styles of input contacts are more
prone to damaging connection errors and the site and manufacturer’s drawings should be
compared to ensure no errors have been made.
Figure 23: GE/Multilin SR-750 Input Connections
When testing, the test-set output is connected across the actual contact used in the circuit to
prevent unintentional damage when applying incorrect test voltages. If the in-service contact is
closed, the contact needs to be isolated by opening test switches or temporarily removing wiring
in order to test both input states.
C1
DC
1
2
C2IN1 IN2
39
41
TB2-2
TB2-3
TS-52-5-DC2
5
6
TB2-4
SPARE
52A
52-5
RLY-12
125Vdc
CT#3
DCPANELA
DC+
RELAY TEST SET
Test
Output
+
End-to-End Testing
4. Connect Test Equipment to Replace CTs/PTsConnect the test-set to simulate the CT and PT inputs as shown in figure 25. All CT test switches
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Connect the test set to simulate the CT and PT inputs as shown in figure 25. All CT test switches
have been opened to short the CT inputs, and an isolating device has been inserted between the
CT clips to isolate the top from the bottom.
Always pay attention to the PT connections and triple check that the test-set is connected to the
relay side of the test switch. Incorrect connections could back-feed the connected PTs and apply
a dangerous voltage to the high-side of the PTs.
OA OB OC
TO 4160V BUS
CT's 123-124-1253-3000: MR
SET 2000:5
C200
1A1
1B1
1C1
1C0
52-5
X2
X2
X2
X5
X5
X5
4
8
12
3
7
11
1
5
9
G7 H7
G8 H8
G9 H9
G5 H5 G6 H6
VT8
4200:120V
15 17 19
16 18 20
1A2
1B2
1C2
MULTILIN SR-750
1A3
1B3
1C3
OA OB OC
CABLE FROM XFMR-2
OA
OB
OC
TS-52-5-AC
A Phase Volts
B Phase Volts
C Phase Volts
N Phase Volts
A Phase Amps
B Phase Amps
C Phase Amps
+
+
+
RELAY TEST SET
Magnitude Phase AngleTest Volts
Test Volts
Test Volts
AØ Test Amps
BØ Test Amps
CØ Test Amps
0°
-120° (240°)
120°
0°
-120° (240°)
120°
+ Timer
InputElement
Output
- Timer
Input
+DC Supply -
+
Alternate Timer Connection
A
This
DWG
2
6
A
This
DWG
1C0
8
ISOLATING DEVICE
RLY-12
Figure25: ExampleAC Test-set Connections
End-to-End Testing
5. Setup GPS AntennaMost test-sets require at least 4 GPS satellite signals to guarantee accuracy. The antenna must be
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q g g y
mounted in a fairly open area with a clear view of the open sky, especially the southern horizon.
Mounting the antenna on top of a truck in the parking lot usually works well. Change the test-setsettings to use the GPS clock as its reference signal and wait for the GPS status to indicate that
the test-set has been synchronized to the GPS signals. This can take up to 30 minutes the first
time it is applied at a location depending on the test-set. Subsequent synchronizations shouldn’t
require such a long delay. Become familiar with a GPS error message by disconnecting the test-
set from the antenna after GPS synchronization in order to recognize a loss-of-synchronization
problem if it occurs during the test.
If open sky is not available, some test-sets will allow synchronization to the substation’s IRIG
signal. A substation’s IRIG signal is another timing standard that uses a GPS clock connected toa large antenna that converts the GPS time to an IRIG signal. The IRIG signal is connected to all
of the protective relays, fault recorders, and other devices inside the substation to ensure all
devices will record the same time if an event occurs to help with post-fault analysis.
6. Apply Meter TestA meter test should be the first test performed whenever a digital relay is tested. Meter tests
prove that the analog-to-digital converters are working inside the relay, the CT and PT ratios
have been setup correctly, and that the test-set to relay connections are correct. It is important tonotify all nodes before starting a meter test to prevent trip signals from all connected relays.
Perform two single-phase tests to prove that each phase of the test-set is connected to the correct
phase of the relay. Apply single-phase, nominal current and voltage to the relay. Monitor the
relay’s metering function from the front panel or relay software and ensure that the voltage and
current are measured on the correct phase. Apply current and voltage to another phase and
ensure that the correct phases are displayed. If the relay monitors zero-sequence voltage and/or
current, record the zero-sequence values on the test sheet. When single-phase current/voltage is
applied, the zero-sequence value should match the applied value. Zero sequence componentscannot occur in delta connected systems and there will be no zero-sequence measurements for
delta connected PTs. This test could be repeated for the third phase, but once two phases have
been verified, the following three-phase tests can be used for all other measurements.
End-to-End Testing
Apply three-phase, nominal current and voltage to the relay, record the metering results on the
test sheet, and compare them to the CT and PT ratios. If the relay also displays phase angles,
record these values and ensure that they are in the correct phase relationship. Do not assume that
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record these values and ensure that they are in the correct phase relationship. Do not assume that
a three-phase, phase-angle measurement can be used in place of the single-phase tests above.
The relay uses its own reference for phase angles which can be misleading. For example, if allthree-phases were rolled to the next position (AØ to BØ, BØ to CØ, CØ to AØ) the test-set and
the relay would both indicate the correct phase angles for each phase (AØ=0º, BØ=-120º,
CØ=120º) but AØ current/voltage from the test-set would be injected into BØ of the relay. Also,
the test-set and the relay could use different references when displaying phase angles that can beconfusing as shown in Figure 26. For example, the phase relationships displayed by a
GE/Multilin SR-750 would be 0º, 120º, 240º LAG. A SEL relay with the same settings and
connection would display 0º, -120º, 120º. If the relay monitors positive sequence components,
record the current and voltage values on the test sheet. The positive sequence value should matchthe applied current and voltage and the negative sequence and zero-sequence voltages should bealmost zero.
180-180
0
3 3 0
- 3 0
270-90
90
3 0 0
- 6 0
2 1 0
- 1 5 0
2 4 0 - 1 2 0
3 0
6 0
1 5 0
1 2 0
Van
Vbn
Vbn
LEADING PHASE ANGLES
180-180
0
3 0
90
270-90
6 0
1 5 0
1 2 0
3 3 0
- 3 0
3 0 0 - 6 0
2 1 0
- 1 5 0
2 4 0
- 1 2 0
Van
Vbn
Vbn
LAGGING PHASE ANGLES
Figure 26: Phase Angle Relationships
Watt and VAR measurements can also help determine if the correct connections have been
made. When three-phase, balanced current and voltage is applied; maximum Watts and almost
zero VARs should be measured. Rotate all three currents by 90º and maximum VARs and almost
zero Watts should be measured. Any connection problems will skew the Watt and VAR values
and should be corrected.
If the relay monitors negative sequence, reverse any two phases and record the negative
sequence values. The negative sequence value should be equal to the applied value and the
positive sequence and zero-sequence values should be nearly zero. Some relays display 3x the
negative sequence values. In this case, the negative sequence value will be three times the
End-to-End Testing
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Figure 27: Example Metering Test Sheet
End-to-End Testing
7. Apply Test PlanThe end-to-end tests begin after all nodes have reported that their meter tests have been
l d f ll All d d l d h i i
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completed successfully. All nodes agree on a test case to run and load their respective test cases
into the test-sets. An example test case for two nodes is shown in the following figures.RLY-1
Values Angle Values Angle Values Angle Values Angle
VA 132.79 0 57.74 -4 132.79 0 66.4 0.0 28.9 -4.0 66.4 0.0
VB 132.79 -120 138.9 -123 132.79 -120 66.4 -120.0 69.5 -123.0 66.4 -120.0
VC 132.79 120 138 123 132.79 120 66.4 120.0 69.0 123.0 66.4 120.0
IA 200 -10 15195 -83 0 0 0.50 -10.0 37.99 -83.0 0.00 0.0
IB 200 -130 235 -89 0 0 0.50 -130.0 0.59 -89.0 0.00 0.0
IC 200 110 236 -79 0 0 0.50 110.0 0.59 -79.0 0.00 0.0
RLY-2
Values Angle Values Angle Values Angle Values Angle
VA 132.79 0 120.1 -1 132.79 0 66.4 0.0 60.1 -1.0 66.4 0.0
VB 132.79 -120 132.2 -119 132.79 -120 66.4 -120.0 66.1 -119.0 66.4 -120.0
VC 132.79 120 132.4 119 132.79 120 66.4 120.0 66.2 119.0 66.4 120.0
IA 200 170 1658 -80 0 0 0.33 170.0 2.76 -80.0 0.00 0.0
IB 200 50 235 91 0 0 0.33 50.0 0.39 91.0 0.00 0.0
IC 200 -70 236 101 0 0 0.33 -70.0 0.39 101.0 0.00 0.0
Load from Bus to Line (SOURCE BUS for Prefault)
Load from L ine to Bus (LOAD BUS for Prefault)
PRE FAULT FAULT 1 Post Fault
Secondary
Test Set
Secondary
Test Set
Secondary Test
Set
Aspen OutputPre Fault
Aspen OutputFault 1
Aspen OutputFault 2
Aspen OutputPost Fault
PRE FAULT FAULT 1 Post FaultSecondary
Test Set
Secondary
Test Set
Secondary Test
Set
Aspen Output
Pre Fault
Aspen Output
Fault 1
Aspen Output
Fault 2
Aspen Output
Post Fault
Figure 28: Example Test Plan 2 with raw Data
Figure 29: Example RLY-1 Waveform Test Plan 2
End-to-End Testing
After the test cases are loaded into the test-sets, a start time is decided upon. Different test-sets
have different methods to initiate a test. The test-set manufacturer should be contacted to
determine the correct method to initiate a test and whether some lead time should be added to
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ensure correct test case simulations when two different test-set models are used. The test
countdown should be initiated after all nodes report that they are ready and the start signals aresynchronized for the same start time. Watch the test-set and relay metering, if possible, during
the test to ensure the test-set started correctly and injected the correct values. If any nodes report
a malfunction, the problem should be corrected and the test should be run again.
(Hint: It’s often a good idea to reset all fault recorder and sequence of event records inside the
relay between tests to make sure that only the test in question is available to prevent confusion
after several tests have been performed)
8. Evaluate ResultsAfter the test case has been injected into all nodes simultaneously, the relay targets at each node
should be recorded and compared to the test case description to ensure the relays have responded
correctly. All event and sequence-of-event records should also be downloaded. Some engineers
will review the event records from all relays to review the relays’ reaction to the fault, and others
will assume correct operation based on correct targeting and time delays for trips. If everything
works correctly, all nodes can move on to the next test case and inject it into the relay.
A perfectly executed series of end-to-end tests is rare and there is often some troubleshootinginvolved. Here are some common problems which could cause an incorrect test result:
¾ Waveform Playback
o Was the correct waveform loaded at all nodes?
¾ State Simulator Playback
o Check the hard copy report of simulation to data in test-set
¾ Is the same pre-fault duration applied at all nodes?
¾ Are the same phases faulted at all nodes?
¾ Are the phase angle references correct at all nodes?
¾ Did the playback start at the correct time at all nodes? (Look at relay event records)
¾ Were all AC channels recorded in the relay event records? (Test lead fell off, etc)
¾ Are communication channels active during test?
¾ Were the circuit breakers or circuit breaker simulators closed before the test?
9. Return Protection System to ServiceThe protection system should be returned or placed into service after all test cases have been
executed. Make sure that all event recorder, event records, and as-left relay settings have been
downloaded and are available for off-site review before beginning the procedure to return therelays into service. All event recorder, event records, min/max, and other history related data
inside the relay should be erased to prevent confusion when troubleshooting faults after the
relays have been placed in-service. All test equipment should be disconnected from the relays
and any wiring removed during the test should be replaced. The CT, PT, and input test switches
End-to-End Testing
A) Cover LetterThe cover letter should describe the project, provide a brief history, and (most importantly)
list of all comments during the test This letter summarizes all of the test sheets and should be
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list of all comments during the test. This letter summarizes all of the test sheets and should be
written with non-electrical personnel in mind. Ideally, this document could be reviewed yearsfrom the testing date with a clear understanding of what tests were performed and their
results. Any comments should be clearly explained with a brief history of any actions
performed and the status at the time of the letter. Organize comments in order of importanceand by relay or relay type if the same comment applies to multiple relays. An example
comment is “The current transformer ratio on drawing A and the supplied relay settings did
not match. The design engineer was contacted and the correct ratio of 600:5 was applied to
the relay settings and confirmed in the field. No further action is required.”
B) Test SheetThe test sheet should clearly show all the test results, including a printout of event and
sequence-of-event records for each test to show what tests were performed and the relays’
responses. A digital copy of all test cases should also be included in the report to allow
maintenance personnel in the future to replay the same tests into the relay and evaluate their
response during maintenance intervals.
C) Final SettingsThe final, as-left settings should be documented at the end of the test sheet. A digital copy
should also be saved, and all relay settings for a project should be made available to the client
or design engineer for review and their final documentation. Setting files should be in the
relay’s native software and in a universal format such as word processor or pdf file to allow
the design engineer to make changes, if required, and allow anyone else to review the settings
without special software.
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End-to-End Testing
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Chapter 3Common Protection Schemes
The following sections are intended to provide a basic understanding of the most common protection
schemes tested via end-to-end testing. Distance protection settings can be generalized in percentage
of the line they are protecting for the most part and it is important to understand the logic behind basic
distance protection before reviewing the protection schemes.
TS
21Z3
21
Z2
21
Z1
RLY-1
TX1
RX1
RLY-1 ZONE 1
RLY-1 ZONE 2
RLY-2 ZONE 2
RLY-1 ZONE 3 RLY-2 ZONE 3
RLY-3 ZONE 1
RLY-3 ZONE 3
RLY-4 ZONE 2
RLY-4 ZONE 3
TS
21
Z3
21
Z2
21
Z1
RLY-3
TX1
RX1
TS
21
Z3
21
Z2
21
Z1
RLY-2
TX1
RX1
TS
21Z3
21
Z2
21
Z1
RLY-4
TX1
RX1
RLY-3 ZONE 2
RLY-4 ZONE 1
RLY-2 ZONE 1
TSTS TS TS
TS TSTSTS
Figure 31: Typical Distance Protection Settings
Zone-1 protection is typically set at 80% of the transmission line with no intentional time delay. It is
not set at 100% of the transmission line because the line impedance used for protective relaying is a
calculation based on the size of wire and distance of the transmission line. There are many other
End-to-End Testing
An average person might think that two protective relays with zone-1 elements set at 80% of the line
towards each other provides 100% protection of the transmission line with redundant protection on
the inner 60% by the overlapping zones of protection would be enough. The utility industry is always
concerned with reliability and stability which requires 100% redundancy on all transmission lines
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concerned with reliability and stability which requires 100% redundancy on all transmission lines.
Zone-2 protection is set beyond (approximately 120%) the transmission line. It is possible that therelay will trip if a fault occurs on another line which would cause a larger system disruption than
necessary and could impact the system stability for the entire region so a 20 cycle time delay is
usually added to delay a zone-2 trip. This time delay is intended to give the remote equipment a
chance to operate before the zone-2 element trips for a fault outside the intended zone of protection.Zone-2 has a twofold benefit, redundant protection for the transmission line and backup protection for
external equipment.
Zone-3 protection in non-communication schemes is usually applied to provide backup protection for
external equipment. It can be applied with very large resistances in the forward direction with a longtime delay (60 cycles) to minimize system disturbances in case of equipment failure. It can also be
applied in the reverse direction with a similar time delay as backup protection for relays in the reverse
direction.
1. Direct Transfer Trip (DTT) Scheme
The direct transfer trip scheme is the simplest of the communications schemes and allows a trip
signal to be sent to all relays. If the correct trip signal is detected on one relay, a trip signal issent to all the other relays. A very secure communication channel is required for a DTT scheme
to prevent noise on the communication channel from causing an unintended trip. End-to-end
testing is not required for this communication scheme.
2. Direct Under-reaching Transfer Trip (DUTT)The direct under-reaching transfer trip scheme is very similar to the DTT scheme described
above and uses the zone-1 protective element in each relay to send a DTT signal. Any relay that
detects a Zone-1 fault will send a trip signal to all the other relays in the scheme. A very secure
communication channel is required for a DTT scheme to prevent noise on the communication
channel from causing an unintended trip. End-to-end testing is not required for this
communication scheme.
3. Permissive Over-Reaching Transfer Trip (POTT)The permissive over-reaching transfer trip scheme uses zone-2 elements from up to three relays
to determine if a fault has occurred on a transmission line. This scheme has distance zone-1
protection set at 80% of the line in both relays RLY-1 and RLY-2. Zone-2 protection is set at
120% of the line with a time delay of 20 cycles to provide backup protection for other relays. If azone-2 fault pickup is detected by both relays (test cases 1 and 2), the fault must be located
inside the scheme’s zone of protection because the two zone-2 settings only overlap across the
transmission line itself. Both relays will trip almost instantaneously after a small time delay is
applied to prevent communication errors that can cause nuisance operations
End-to-End Testing
If the communication scheme is not enabled, the following figures indicate the outcomes of a
standard battery of end-to-end tests assuming that the outside protective relays fail to operate for
out-of-zone faults.1 23 5 4 7 8 116910
RLY RLY
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RLY-1 ZONE 1
RLY-1 ZONE 2
RLY-2 ZONE 2
RLY-1 ZONE 3 RLY-2 ZONE 3
RLY-2 ZONE 1
RLY
-1
RLY
-2
Figure 32: End-to-End Test Simulations
Test RLY-1 RLY-2
1 Trip Zone-1 in 0 cycles Trip Zone-2 in 20 cycles
2 Trip Zone-2 in 20 cycles Trip Zone-1 in 0 cycles
3 Trip Zone-1 in 0 cycles Trip Zone-1 in 0 cycles
4 Trip Zone-1 in 0 cycles Trip Zone-1 in 0 cycles
5 Trip Zone-1 in 0 cycles Trip Zone-1 in 0 cycles
6 Trip Zone-3 in 60 cycles Trip Zone-2 in 20 cycles
7 Trip Zone-2 in 20 cycles Trip Zone-3 in 60 cycles
8 No trip Trip Zone-3 in 60 cycles
9 Trip Zone-3 in 60 cycles No trip10 No trip No trip
11 No trip No trip
Figure 33: End-to-End Test Results with no Communication Scheme Applied
The following figure indicates the results of a POTT communication scheme operating correctly
assuming that the outside equipment does not operate for out-of-zone faults.
Test RLY-1 RLY-2
1 Trip Zone-1 in 0 cycles Trip Zone-2 in <3 cycles
2 Tr ip Zone-2 in <3 cycles Trip Zone-1 in 0 cycles
3 Trip Zone-1 in 0 cycles Trip Zone-1 in 0 cycles
4 Trip Zone-1 in 0 cycles Trip Zone-1 in 0 cycles
5 Trip Zone-1 in 0 cycles Trip Zone-1 in 0 cycles
6 Trip Zone-3 in 60 cycles Trip Zone-2 in 20 cycles
7 Trip Zone-2 in 20 cycles Trip Zone-3 in 60 cycles
8 No trip Trip Zone-3 in 60 cycles
9 Trip Zone-3 in 60 cycles No trip10 No trip No trip
11 No trip No trip
Figure 34: End-to-End Test Results with POTT Communication Scheme Applied
End-to-End Testing
Zone-3 protection is set in the reverse direction and is reaches beyond the zone-2 protection at -
30% of the line with a time delay of 60 cycles to provide backup protection for other relays.
Zone-3 is not necessary for the POTT scheme to work for faults on the transmission line but is
used to prevent nuisance trips during sudden current reversals on parallel lines by blocking the
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p p g p y g
communication-assisted trip scheme if a sudden current reversal is detected. Sudden current-reversal can occur on some installations such as parallel lines as shown in figure 35. All four
breakers are closed and a fault occurs in zone-1 of RLY-1. The current flows through each
breaker as shown by the arrows. RLY-4 zone-2 is picked-up and sends a permissive signal to
RLY-3. When breaker-1 opens, the current suddenly reverses through RLY-3 and RLY-4 whichstarts a race. Will RLY-4 detect the sudden reversal first and stop sending the permissive trip to
RLY-3 before RLY-3 detects a zone-2 pickup? If not, RLY-3 will have a permissive signal from
RLY-4 and detect a zone-2 fault which will cause a communication-assisted trip and de-energize
the healthy feeder.
1
RLY
-1
RLY
-2
RLY
-3
RLY
-4
RLY-1 - Zone 1 RLY-2 - Zone 2
RLY-4 - Zone 2RLY-3 - Zone 3
1
RLY
-1
RLY
-2
RLY-3
RLY-4
RLY-2 - Zone 2
RLY-4 - Zone 3RLY-3 - Zone 2
Figure 35: Current Reversal Example
The current-reversal protection is tested by simulating a current-reversal as shown in the
following figures
End-to-End Testing
RLY-1 Load from Bus to Li ne (SOURCE BUS for Prefault)
Aspen Output
Pre Fault
Aspen Output
Fault 1
Aspen Output
Fault 2
Aspen Output
Post Fault
Secondary Test
PRE FAULT FAULT 1 FAULT 2 Post Fault
Secondary Secondary Secondary Test
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Values Angle Values Angle Values Angle Values AngleVA 132.79 0 134.52 0 134.6 0 132.79 0 66.4 0.0 67.3 0.0 67.3 0.0 66.4 0.0
VB 132.79 -120 67.3 180 105 -130 132.79 -120 66.4 -120.0 33.7 180.0 52.5 -130.0 66.4 -120.0
VC 132.79 120 67.3 180 104.6 129 132.79 120 66.4 120.0 33.7 180.0 52.3 129.0 66.4 120.0
IA 200 -10 24 -85 25 -85 200 -10 0.50 -10.0 0.06 -85.0 0.06 -85.0 0.50 -10.0
IB 200 -130 1860 9 1463 -171 200 -130 0.50 -130.0 4.65 9.0 3.66 -171.0 0.50 -130.0
IC 200 110 1858 -172 1465 10 200 110 0.50 110.0 4.65 -172.0 3.66 10.0 0.50 110.0
RLY-2
Values Angle Values Angle Values Angle Values Angle
VA 132.79 0 133.4 0 133.4 0 132.79 0 66.4 0.0 66.7 0.0 66.7 0.0 66.4 0.0
VB 132.79 -120 114.9 -126 68.2 -173 132.79 -120 66.4 -120.0 57.5 -126.0 34.1 -173.0 66.4 -120.0
VC 132.79 120 113.3 125 66.15 173 132.79 120 66.4 120.0 56.7 125.0 33.1 173.0 66.4 120.0
IA 200 170 24 95 25 95 200 170 0.33 170.0 0.04 95.0 0.04 95.0 0.33 170.0
IB 200 50 1860 -171 1463 9 200 50 0.33 50.0 3.10 -171.0 2.44 9.0 0.33 50.0
IC 200 -70 1858 8 1465 -170 200 -70 0.33 -70.0 3.10 8.0 2.44 -170.0 0.33 -70.0
Load from Lin e to Bus (LOAD BUS for Prefault)
Set
Aspen Output
Post Fault
Test Set Test Set Set
Secondary Test
Set
PRE FAULT FAULT 1 FAULT 2 Post Fault
Secondary
Test Set
Secondary
Test Set
Secondary Test
Set
Aspen Output
Pre Fault
Aspen Output
Fault 1
Aspen Output
Fault 2
Figure 36: Current Reversal Test Plan
End-to-End Testing
4. Directional Comparison Unblocking (DCUB)The directional comparison unblocking scheme is essentially the same as the POTT scheme
described previously. The DCUB uses a power line carrier channel that uses one phase of the
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power system itself as a communication channel. Communicating over the power line is lesssecure because the signals may not transmit across a faulted transmission line and power system
disruptions can cause noise. A guard signal is sent under normal conditions to indicate that
communication channels are intact. If one relay detects a zone-2 fault, the guard signal is
dropped and a trip signal is sent. The other relay will trip almost immediately (after a small
communications delay) if it detects; a zone-2 fault, a dropped guard signal, and a trip signal.
5. Permissive Under-reaching Transfer Trip (PUTT)The permissive under-reaching transfer trip scheme uses the zone-1 element from one relay and
the zone-2 element from a second relay to determine if a fault has occurred on a transmission
line or outside the scheme’s zone of protection. This scheme has distance zone-1 protection set at
80% of the line in both relays RLY-1 and RLY-2. Zone-2 protection is set at 120% of the line
with a time delay of 20 cycles to provide backup protection for other relays. If a zone-1 fault is
detected by one relay (test cases 1 and 2) and a zone-2 fault pickup is detected by the other relay,
the fault must be located inside the scheme’s zone of protection because the zone-1 and oppositezone-2 settings only overlap across the transmission line itself. The zone-1 relay will trip
instantaneously and the zone-2 relay will trip after a small time delay is applied to prevent
communication errors that can cause nuisance operations.
This scheme will not trip on sudden phase reversals because the zone-1 does not reach beyond
the transmission line and will not operate for faults outside the zone. Zone-3 protection is not
required for this scheme other than back-up protection, if desired.
If the communication scheme is not enabled, the following figure indicates the outcomes of the
standard battery of end-to-end tests assuming that the outside equipment does not operate for
out-of-zone faults.
End-to-End Testing
RLY-1 ZONE 1
1 23 5 4 7 8 116910RLY
-1
RLY
-2
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RLY-1 ZONE 2
RLY-2 ZONE 2
RLY-1 ZONE 3 RLY-2 ZONE 3
RLY-2 ZONE 1
Figure 37: End-to-End Test Simulations
Test RLY-1 RLY-2
1 Trip Zone-1 in 0 cycles Trip Zone-2 in 20 cycles
2 Trip Zone-2 in 20 cycles Trip Zone-1 in 0 cycles
3 Trip Zone-1 in 0 cycles Trip Zone-1 in 0 cycles4 Trip Zone-1 in 0 cycles Trip Zone-1 in 0 cycles
5 Trip Zone-1 in 0 cycles Trip Zone-1 in 0 cycles
6 Trip Zone-3 in 60 cycles Trip Zone-2 in 20 cycles
7 Trip Zone-2 in 20 cycles Trip Zone-3 in 60 cycles
8 No trip Trip Zone-3 in 60 cycles
9 Trip Zone-3 in 60 cycles No trip
10 No trip No trip
11 No trip No trip
Figure 38: End-to-End Test Results with no Communication Scheme Applied
The following figure indicates the results of a PUTT communication scheme operating correctly
assuming that the outside equipment does not operate for out-of-zone faults.
Test RLY-1 RLY-2
1 Trip Zone-1 in 0 cycles Trip Zone-2 in <3 cycles
2 Tr ip Zone-2 in < 3 cycles Trip Zone-1 in 0 cycles
3 Trip Zone-1 in 0 cycles Trip Zone-1 in 0 cycles
4 Trip Zone-1 in 0 cycles Trip Zone-1 in 0 cycles5 Trip Zone-1 in 0 cycles Trip Zone-1 in 0 cycles
6 Trip Zone-3 in 60 cycles Trip Zone-2 in 20 cycles
7 Trip Zone-2 in 20 cycles Trip Zone-3 in 60 cycles
8 No trip Trip Zone-3 in 60 cycles
9 Trip Zone-3 in 60 cycles No trip
10 No trip No trip
11 No trip No trip
Figure 39: End-to-End Test Results with PUTT Communication Scheme Applied
End-to-End Testing
6. Directional Comparison Blocking (DCB)The directional comparison unblocking scheme is unique among the protection schemes
described in this section because a blocking signal is used if a fault is detected in the reverse
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direction. This scheme has distance zone-1 protection set at 80% of the line in both relays RLY-1 and RLY-2. Zone-2 protection is set at 120% of the line with a time delay of 20 cycles to
provide backup protection for other relays. Zone-3 protection is set in the reverse direction and is
set beyond the zone-2 protection at -30% of the line with a time delay of 60 cycles to provide
backup protection for other relays.
Zone-1 protection will operate instantaneously if a zone-1 fault is detected by either relay. If a
zone-2 fault is detected by one relay and the other relay does not detect a zone-3 trip (test cases 1
and 2) the first relay will assume that the fault is between 80-100% of the transmission line, is
inside the designated zone of protection, and will trip almost instantaneously. A small time delay(< 6 cycles) will be applied to compensate for communication delays between relays and prevent
nuisance operations. If a zone-2 fault is detected by one relay and the other relay detects a zone-3
fault (test cases 7 and 6), a blocking signal will be sent to the first relay which will determine
that the fault is outside the zone of protection and the normal zone-2 timer will trip the breaker if
outside relays do not isolate the fault first.
If the communication scheme is not enabled, the following figure indicates the outcomes of the
standard battery of end-to-end tests.
RLY-1 ZONE 1
RLY-1 ZONE 2
RLY-2 ZONE 2
RLY-1 ZONE 3 RLY-2 ZONE 3
RLY-2 ZONE 1
1 23 5 4 7 8 116910RLY
-1
RLY
-2
Figure 40: End-to-End Test Simulations
Test RLY-1 RLY-2
1 Trip Zone-1 in 0 cycles Trip Zone-2 in 20 cycles
2 Trip Zone-2 in 20 cycles Trip Zone-1 in 0 cycles
3 Trip Zone-1 in 0 cycles Trip Zone-1 in 0 cycles
4 Trip Zone-1 in 0 cycles Trip Zone-1 in 0 cycles
5 Trip Zone-1 in 0 cycles Trip Zone-1 in 0 cycles
6 Trip Zone-3 in 60 cycles Trip Zone-2 in 20 cycles
7 Trip Zone-2 in 20 cycles Trip Zone-3 in 60 cycles
8 No trip Trip Zone-3 in 60 cycles
9 Trip Zone-3 in 60 cycles No trip
10 No trip No trip
11 No trip No trip
End-to-End Testing
The following figure indicates the results of a POTT communication scheme operating correctly.
Test RLY-1 RLY-2
1 Trip Zone-1 in 0 cycles Tr ip Zone-2 in <6 cycles
2 Tr ip Zone-2 in <6 cycles Trip Zone-1 in 0 cycles
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3 Trip Zone-1 in 0 cycles Trip Zone-1 in 0 cycles4 Trip Zone-1 in 0 cycles Trip Zone-1 in 0 cycles
5 Trip Zone-1 in 0 cycles Trip Zone-1 in 0 cycles
6 Trip Zone-3 in 60 cycles Trip Zone-2 in 20 cycles
7 Trip Zone-2 in 20 cycles Trip Zone-3 in 60 cycles
8 No trip Trip Zone-3 in 60 cycles
9 Trip Zone-3 in 60 cycles No trip
10 No trip No trip
11 No trip No tripFigure 42: End-to-End Test Results with DCP Communication Scheme Applied
The DCB communication scheme speeds the tripping time for faults on the transmission and still
provides backup protection for faults outside of the zone. While this scheme may seem to be the
ideal solution for transmission line protection and does increase dependability, the unblockingnature and communication time delays inherent in the scheme can reduce the security of the
protection scheme by causing nuisance trips under certain conditions. If a fault occurs outside
the zone of protection the following actions must be completed before the remote zone-2 elementtime delay elapses or the communication scheme is useless:
¾ A reverse fault must be detected
¾ A blocking signal must be sent through the communications equipment
¾ The remote relay must receive the blocking signal
When the external fault is cleared, the remote zone-2 protection must reset before the local zone-
3 protection resets or a nuisance trip will occur. Also, the local zone-3 reverse pickup must be
greater than the zone-2 pickup settings or the remote zone-2 protection will operate in the
difference between the two settings.
End-to-End Testing
7. Pilot Wire ProtectionPilot wire protection uses a relay located at each end of a transmission line that passes the three-
phase CT secondary current through filters to convert the three-phase inputs into a signal that
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can be transmitted through a two-conductor pilot wire. The voltage or current signal passingthrough the pilot wire is connected to restraint and operating coils that operate as simple
differential relays to provide the same characteristic as standard current differential relays
simplified in the following figure. The relays measure and compare the current entering the zone
of protection to the current leaving the zone of protection. The difference between the signals is
the differential current. If the ratio between the differential current and restraint current exceeds
the relay’s setpoint, the relays will trip.
RESTRAINT
Iop
RESTRAINT
FAULT CURRENT = 4000 A
400:5 400:5
Iop = 50A + 50A = 100AIop/Irestraint = 100 A / 50A = 2
Iop/Irestraint = 200% > 25% setting = TRIP
87 = 25 % RESTRAINT SETTING
RESTRAINT
Iop
RESTRAINT
EXTERNAL FAULT CURRENT = 8000 A
400:5 400:5
Iop = 100A + -100A = 0AIop / Irestraint = 0 A / 100A = 0
Iop/Irestraint = 0% < 25% setting = NO TRIP
87 = 25 % RESTRAINT SETTING
50 A50 A 50 A 50 A 100 A100 A 100 A 100 A
FAULT CURRENT = 4000 A
Figure 43: Simplified Pilot Wiring Operation
Faults that occur between the two relays will cause a trip and faults outside the zone will not tripas per the following chart. The zone protection shown in figure 44 would be provided by backup
protection.
RLY-1 ZONE 1
RLY-1 ZONE 2
RLY-2 ZONE 2RLY-1 ZONE 3 RLY-2 ZONE 3
RLY-2 ZONE 1
1 23 5 4 7 8 116910RLY
-1
RLY
-2
Figure 44: End-to-End Test Simulations
Test RLY-1 RLY-2
1 Trip 87 in 0 cycles Trip 87 in 0 cycles
2 Trip 87 in 0 cycles Trip 87 in 0 cycles
3 Trip 87 in 0 cycles Trip 87 in 0 cycles
4 Trip 87 in 0 cycles Trip 87 in 0 cycles
5 Trip 87 in 0 cycles Trip 87 in 0 cycles
6-11 No trip No trip
Figure 45: End-to-End Test Results with Pilot Wire Scheme Applied
End-to-End Testing
8. Phase/Charge Comparison ProtectionPhase/charge comparison protection uses a simple overcurrent device to initiate a trip that can be
blocked if the comparison relays detect that the fault is external to the zone of protection. Each
l d bl ki i l t th th l d i iti ½ l f th f
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relay sends a blocking signal to the other relay during every positive ½ cycle of the waveformand sends a trip signal every negative half cycle if the measured current is greater than the
setpoint. A fault occurring on the transmission line will cause the phase angles for both relays to
be in-phase if dual sources are present and both relays will send a trip signal on the negative ½
cycle with no blocking signal. If only one side has a source, there will be no current on the
opposite side to send a blocking signal and the relays will trip. If the fault occurs outside the
zone, the current phasors will be in opposition and the relays will not trip because a blocking
signal appears to negate every trip signal.FAULT CURRENT = 4000 A
400:5 400:5
FAULT CURRENT = 4000 A
* = RLY-1 AND RLY-2 BLOCK# = RLY-1 AND RLY-2 TRIP
RELAY TRIPS
TX1
RX1
TX1
RX1*
#
* = RLY-1 AND RLY-2 BLOCK# = RLY-1 AND RLY-2 TRIP
RELAY TRIPS
*
#
400:5 400:5
TX1
RX1
TX1
RX1
$ = RLY-1 BLOCK* = RLY-2 ATTEMPTS TRIP
# = RLY-2 BLOCK
@ = RLY-1 ATTEMPTS TRIPTRIP BLOCKED
*
#
EXTERNAL FAULT CURRENT = 8000 A
$
@
$ = RLY-1 BLOCK* = RLY-2 ATTEMPTS TRIP
# = RLY-2 BLOCK
@ = RLY-1 ATTEMPTS TRIPTRIP BLOCKED
*
#$
@
Figure 46: Phase/Charge Comparison Example of Operation
Faults that occur between the two relays will cause a trip and faults outside the zone will not trip
as per the following chart. The zone protection shown in figure 47 would be provided by backup
protection.
RLY-1 ZONE 1
RLY-1 ZONE 2
RLY-2 ZONE 2
RLY-1 ZONE 3 RLY-2 ZONE 3
RLY-2 ZONE 1
1 23 5 4 7 8 116910
RLY
-1
RLY
-2
Figure 47: End-to-End Test Simulations
Test RLY-1 RLY-2
1 Trip 87 in 0 cycles Trip 87 in 0 cycles 2 Trip 87 in 0 cycles Trip 87 in 0 cycles
3 Trip 87 in 0 cycles Trip 87 in 0 cycles
4 Trip 87 in 0 cycles Trip 87 in 0 cycles
5 Trip 87 in 0 cycles Trip 87 in 0 cycles
End-to-End Testing
9. Line DifferentialLine differential relays have up to three relays connected at the ends of a transmission line that
compare the magnitudes and phasors for all phases as well as the negative and zero sequence
t t d t i if f lt th t i i li t id th f
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components to determine if a fault occurs on the transmission line or outside the zone of protection. These relays require a high-speed and secure communication medium such as fiber
optics in order to transfer all of the collected data to allow each relay to perform its own
calculations and provide high-speed tripping.
Traditional current differential relays calculate the ratio of differential to restraint current and if
the ratio is greater than a simple slope setting, the relay will trip. This slope characteristic works
well when applied to generators, buss, and transformers; but a transmission line has a very
different characteristic due to its operating parameters and the wide variety of faults that can
occur on a transmission line.
Modern line differential protection uses a characteristic called the alpha plane. The alpha plane
graphs the vector ratio of remote current to local current calculated for each phase current as well
as the negative and zero sequence currents. The example test plan in figures 49 and 51 is plotted
on the Alpha plane graph using the calculations in figure 50 and 52. Remember that these
calculations use complex or vector math. The graph in figure 53 shows the alpha plane.
Calculated values shown inside the shaded area are in the restrained region and the relays will
not trip. Values outside the restrained area are in the trip region and the relays will trip.
End-to-End Testing
RLY-1
Values Angle Values Angle Values Angle Values Angle
VA 132.79 0 110.9 -1 132.79 0 66.4 0.0 55.5 -1.0 66.4 0.0
VB 132 79 120 110 9 121 132 79 120 66 4 120 0 55 5 121 0 66 4 120 0
Secondary
Test Set
Aspen Output
Pre Fault PRE FAULT
Aspen Output
Fault 1
Aspen Output
Fault 2
Aspen Output
Post Fault FAULT 1Secondary
Test Set
Post FaultSecondary Test
Set
Load from Bus to Line (SOURCE BUS for Prefault)
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VB 132.79 -120 110.9 -121 132.79 -120 66.4 -120.0 55.5 -121.0 66.4 -120.0
VC 132.79 120 110.9 119 132.79 120 66.4 120.0 55.5 119.0 66.4 120.0
IA 200 -10 4452 -81 0 0 0.50 -10.0 11.13 -81.0 0.00 0.0
IB 200 -130 4452 159 0 0 0.50 -130.0 11.13 159.0 0.00 0.0IC 200 110 4452 39 0 0 0.50 110.0 11.13 39.0 0.00 0.0
RLY-2
Values Angle Values Angle Values Angle Values Angle
VA 132.79 0 119.17 -1 132.79 0 66.4 0.0 59.6 -1.0 66.4 0.0VB 132.79 -120 119.17 -121 132.79 -120 66.4 -120.0 59.6 -121.0 66.4 -120.0
VC 132.79 120 119.17 119 132.79 120 66.4 120.0 59.6 119.0 66.4 120.0
IA 200 170 4784 -81 0 0 0.33 170.0 7.97 -81.0 0.00 0.0
IB 200 50 4784 159 0 0 0.33 50.0 7.97 159.0 0.00 0.0
IC 200 -70 4784 39 0 0 0.33 -70.0 7.97 39.0 0.00 0.0
Aspen Output
Pre Fault
Aspen Output
Fault 1
Aspen Output
Fault 2
Aspen Output
Post Fault
Load from Line to B us (LOAD BUS for Prefault)
PRE FAULT FAULT 1 Post Fault
Secondary
Test Set
Secondary
Test Set
Secondary Test
Set
Figure 49: Test Case #1 Values
Pre-Fault Fault 1
2
1
0.50@ 10RLY
RLY
I IA
I α
−
−
= = =
−
o
o
o
2
1
0.33@ 130RLY
RLY
I IB
I α
−
−
= = =
−
o
o
o
2
1
0.33@ 70
[email protected]@110RLY
RLY
I
IC I α
−
−
−
= = =
o
o
o
2
1
8.0@ 810.72@0
11.1@ 81RLY
RLY
I IA
I α
−
−
−
= = =
−
o
o
o
2
1
11.1@159RLY
RLY
I IB
I α
−
−
= = =
o
o
o
2
1
8.0@39
[email protected]@39RLY
RLY
I
IC I α
−
−
= = =
o
o
o
Figure 50: Test Case #1 Alpha Plane Calculations
End-to-End Testing
RLY-1
Values Angle Values Angle Values Angle Values Angle
VA132.79 0 57.74 -4 132.79 0 66.4 0.0 28.9 -4.0 66.4 0.0
VB 132 79 120 138 9 123 132 79 120 66 4 120 0 69 5 123 0 66 4 120 0
Aspen Output
Pre Fault
Aspen Output
Fault 1
Aspen Output
Fault 2
Aspen Output
Post Fault PRE FAULT FAULT 1 Post FaultSecondary
Test Set
Secondary
Test Set
Secondary Test
Set
Load from Bus to Line (SOURCE BUS for Prefault)
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VAVB 132.79 -120 138.9 -123 132.79 -120 66.4 -120.0 69.5 -123.0 66.4 -120.0
VC 132.79 120 138 123 132.79 120 66.4 120.0 69.0 123.0 66.4 120.0
IA 200 -10 15195 -83 0 0 0.50 -10.0 37.99 -83.0 0.00 0.0
IB 200 -130 235 -89 0 0 0.50 -130.0 0.59 -89.0 0.00 0.0
IC 200 110 236 -79 0 0 0.50 110.0 0.59 -79.0 0.00 0.0
RLY-2
Values Angle Values Angle Values Angle Values Angle
VA 132.79 0 120.1 -1 132.79 0 66.4 0.0 60.1 -1.0 66.4 0.0VB 132.79 -120 132.2 -119 132.79 -120 66.4 -120.0 66.1 -119.0 66.4 -120.0
VC 132.79 120 132.4 119 132.79 120 66.4 120.0 66.2 119.0 66.4 120.0
IA 200 170 1658 -80 0 0 0.33 170.0 2.76 -80.0 0.00 0.0
IB 200 50 235 91 0 0 0.33 50.0 0.39 91.0 0.00 0.0
IC 200 -70 236 101 0 0 0.33 -70.0 0.39 101.0 0.00 0.0
Aspen Output
Pre Fault
Aspen Output
Fault 1
Aspen Output
Fault 2
Aspen Output
Post Fault
Load from Li ne to Bus (LOAD BUS for Prefault)
PRE FAULT FAULT 1 Post Fault
Secondary
Test Set
Secondary
Test Set
Secondary Test
Set
Figure 51: Test Case #2 Values
Pre-Fault Fault 1
2
1
0.50@ 10RLY
RLY
I IA
I α
−
−
= = =
−
o
o
o
2
1
0.33@ 130RLY
RLY
I IB
I α
−
−
= = =
−
o
o
o
2
1
0.33@ 70 [email protected]@110
RLY
RLY
I IC
I α
−
−
−
= = =
o
o
o
2
1
2.76@ 800.072@3
37.99@ 83RLY
RLY
I IA
I α
−
−
−
= = =
−
o
o
o
2
1
0.59@ 89RLY
RLY
I IB
I α
−
−
= = =
−
o
o
o
2
1
0.39@101 [email protected]@ 79
RLY ALPHA
RLY
I IC
I
−
−
= = =
−
o
o
o
2
1
0.66@ 78.40 [email protected]
13.06@ 83RLY
ALPHA
RLY
I I
I
−
−
−
= = =
−
o
o
o
2
1
1.07@ 80.62 [email protected]
12.44@ 83.0RLY
ALPHA
RLY
I I
I
−
−
−
= = =
−
o
o
o
Figure 52: Test Case #2 Alpha Plane Calculations
End-to-End Testing
IMAG (Iremote/Ilocal)
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Iprefault
Ifault 1
RESTRAINT
REGION
TRIP
REGION
IAfault 2
I0fault 2I2fault 2
IBfault 2ICfault 2
REAL (Iremote/Ilocal)
Figure 53: Test Case #2 Alpha Plane Calculations
End-to-End Testing
While it is possible to test the characteristics of the alpha plane, end-to-end testing is designed to
apply real faults and observe reactions. With this in mind, the simple differential philosophy of
“only trip when fault is between the two relays” still applies with the new characteristic and the
following results will occur when the standard battery of tests are applied.1 23 5 4 7 8 116910
RLY-1
RLY-2
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RLY-1 ZONE 1
RLY-1 ZONE 2
RLY-2 ZONE 2
RLY-1 ZONE 3 RLY-2 ZONE 3
RLY-2 ZONE 1
-1 -2
Figure 54: End-to-End Test Simulations
Test RLY-1 RLY-2
1 Trip 87 in 0 cycles Trip 87 in 0 cycles
2 Trip 87 in 0 cycles Trip 87 in 0 cycles
3 Trip 87 in 0 cycles Trip 87 in 0 cycles
4 Trip 87 in 0 cycles Trip 87 in 0 cycles
5 Trip 87 in 0 cycles Trip 87 in 0 cycles
6 No trip No trip
7 No trip No trip
8 No trip No trip9 No trip No trip
10 No trip No trip
11 No trip No trip
Figure 55: End-to-End Test Results with Line Differential Scheme Applied
End-to-End Testing
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Chapter 4Conclusion
End-to-end testing requires additional software to create test plans, modern test equipment, and good
communication between the relay testers at each end. Once these three items have been resolved, end-to-
end testing simply requires a few extra test procedures when all the protective relays, communication
equipment, and relay settings are working properly.
The details of the different communication schemes (POTT, PUTT, etc) can be confusing, but all the
schemes provide the same results as per the following chart.
RLY-1 RLY-2 RLY-1 RLY-2 RLY-1 RLY-2
Trip 87 in 0
cycles
Trip 87 in 0
cycles RLY-1 RLY-2 RLY-1 RLY-2
1Trip Zone-1
in 0 cycles
Trip Zone-2
in <3 cycles
Trip Zone-1
in 0 cycles
Trip Zone-2
in <3 cycles
Trip Zone-1
in 0 cycles
Trip Zone-2
in <6 cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
2Trip Zone-2
in <3 cycles
Trip Zone-1
in 0 cycles
Trip Zone-2
in < 3 cycles
Trip Zone-1
in 0 cycles
Trip Zone-2
in <6 cycles
Trip Zone-1
in 0 cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
3Trip Zone-1
in 0 cycles
Trip Zone-1
in 0 cycles
Trip Zone-1
in 0 cycles
Trip Zone-1
in 0 cycles
Trip Zone-1
in 0 cycles
Trip Zone-1
in 0 cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
4Trip Zone-1
in 0 cycles
Trip Zone-1
in 0 cycles
Trip Zone-1
in 0 cycles
Trip Zone-1
in 0 cycles
Trip Zone-1
in 0 cycles
Trip Zone-1
in 0 cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
5Trip Zone-1
in 0 cycles
Trip Zone-1
in 0 cycles
Trip Zone-1
in 0 cycles
Trip Zone-1
in 0 cycles
Trip Zone-1
in 0 cycles
Trip Zone-1
in 0 cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
Trip 87 in 0
cycles
6Trip Zone-3
in 60 cycles
Trip Zone-2
in 20 cycles
Trip Zone-3
in 60 cycles
Trip Zone-2
in 20 cycles
Trip Zone-3
in 60 cycles
Trip Zone-2
in 20 cycles No trip No trip No trip No trip No trip No trip
7Trip Zone-2
in 20 cycles
Trip Zone-3
in 60 cycles
Trip Zone-2
in 20 cycles
Trip Zone-3
in 60 cycles
Trip Zone-2
in 20 cycles
Trip Zone-3
in 60 cycles No trip No trip No trip No trip No trip No trip
8 No tripTrip Zone-3
in 60 cycles No trip
Trip Zone-3
in 60 cycles No trip
Trip Zone-3
in 60 cycles No trip No trip No trip No trip No trip No trip
9Trip Zone-3
in 60 cycles No trip
Trip Zone-3
in 60 cycles No trip
Trip Zone-3
in 60 cycles No trip No trip No trip No trip No trip No trip No trip
10 No trip No trip No trip No trip No trip No trip No trip No trip No trip No trip No trip No trip
11 No trip No trip No trip No trip No trip No trip No trip No trip No trip No trip No trip No trip
Pilot Wire Phase Comparison L ine DifferentialPOTT PUTT DCB
Figure 56: End-to-End Test Results with All Schemes
End-to-End Testing
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Bibliography
Benmouyal, Gabriel; Mooney, Joe B.; Advanced Sequence Elements for Line Current DifferentialProtectionSchweitzer Engineering Laboratories
Pullman, WA, www.selinc.com
Roberts, Jeff; Tziouvaras, Demetrios; Benmouyal, Gabriel; Altuve, Hector J.; The Effect of MultiprincipleLine Protection on Dependability and Security
Schweitzer Engineering LaboratoriesPullman, WA, www.selinc.com
Ariza, J.; Ibarra, G.; Application Case Of The End-To-End Relay Testing UsingGps-Synchronized Secondary Injection In Communication Based Protection Schemes
Megger, U.S.A.
CFE, Mexico
Araujo, Chris; Horvath, Fred; Mack, Jim; A Comparison of Line Relay System Testing MethodsNational Grid Co.FPL Seabrook Station
Engineering Laboratories, Inc.
20060925 • TP6251-01
Manta Test Systems; Time Synchronized End-to-End Testing of Transmission & Distribution LineProtections with the MTS-5000
Application Note: AN506
Manta Test Systems Inc, www.mantatest.com
Schweitzer Engineering Laboratories; Applying the SEL-321 Relay to Directional Comparison BlockingSchemes
SEL Application Guide
Pullman, WA, www.selinc.com
Schreiner, Zeljko; Kutner, Reinhard; Remote Controlled Testing of Communication Schemes for PowerSystem Protection Using Satellite (GPS) synchronization and Modern Communication technology: A NewApproach
End-to-End Testing
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Guzman, Armando; Roberts, Jeff; Zimmermann, Karl; Applying the SEL-321 Relay to PermissiveOverreaching Transfer Trip (POTT) Schemes
SEL Application Guide
Pullman, WA, www.selinc.com
Mooney, Joe; Communication Assisted Protection Schemes
SEL Application GuideSchweitzer Engineering Laboratories; Hands-on relay School Pullman, WA, www.selinc.com
Tang, Kenneth, Dynamic State & Other Advanced Testing Methods for Protection Relays AddressChanging Industry NeedsManta Test Systems Inc, www.mantatest.com
Tang, Kenneth, A True Understanding of R-X Diagrams and Impedance Relay CharacteristicsManta Test Systems Inc, www.mantatest.com
Blackburn, J. Lewis (October 17, 1997) Protective Relaying: Principles and Application New York. Marcel Dekker, Inc.
Elmore, Walter A. (September 9, 2003) Protective Relaying: Theory and Applications, Second Edition New York. Marcel Dekker, Inc.
Elmore, Walter A. (Editor) (1994) Protective Relaying Theory and Applications (Red Book)ABB
GEC Alstom (Reprint March 1995) Protective Relays Application Guide (Blue Book), Third EditionGEC Alstom T&D
Schweitzer Engineering Laboratories (20011003) SEL-300G Multifunction Generator RelayOvercurrent Relay Instruction ManualPullman, WA, www.selinc.com
Schweitzer Engineering Laboratories (20010625) SEL-311C Protection and Automation SystemInstruction ManualPullman, WA, www.selinc.com
End-to-End Testing
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Schweitzer Engineering Laboratories (20010606) SEL-587-0, -1 Current Differential RelayOvercurrent Relay Instruction ManualPullman, WA, www.selinc.com
Schweitzer Engineering Laboratories (20010910) SEL-387-0, -5, -6 Current Differential RelayOvercurrent Relay Data Recorder Instruction Manual
Pullman, WA, www.selinc.com
GE Power Management (1601-0071-E7) 489 Generator Management Relay Instruction ManualMarkham, Ontario, Canada, www.geindustrial.com
GE Power Management (1601-0044-AM (GEK-106293B)) 750/760 Feeder Management RelayInstruction ManualMarkham, Ontario, Canada, www.geindustrial.com
GE Power Management (1601-0070-B1 (GEK-106292)) 745 Transformer Management Relay InstructionManualMarkham, Ontario, Canada, www.geindustrial.com
GE Power Management (1601-0110-P2 (GEK-113321A)) G60 Generator Management Relay: UR SeriesInstruction Manual Markham, Ontario, Canada, www.geindustrial.com
GE Power Management (1601-0089-P2 (GEK-113317A)) D60 Line Distance Relay: Instruction Manual Markham, Ontario, Canada, www.geindustrial.com
GE Power Management (1601-0090-N3 (GEK-113280B)) T60 Transformer Management Relay: URSeries Instruction Manual Markham, Ontario, Canada, www.geindustrial.com
Beckwith Electric Co. Inc. M-3420 Generator Protection Instruction Book
Largo, FL, www.beckwithelectric.com
Beckwith Electric Co. Inc. M-3425 Generator Protection Instruction Book Largo, FL, www.beckwithelectric.com
Beckwith Electric Co. Inc. M-3310 Transformer Protection Relay Instruction Book Largo FL www beckwithelectric com
End-to-End Testing
A I i l (B ll i 1 FMS 7/99) T FMSS ifl h M t dT tS it h
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Avo International (Bulletin-1 FMS 7/99) Type FMS Semiflush-Mounted Test Switches
Cutler-Hammer Products (Application Data 36-693) Type CLS High Voltage Power Fuses
Pittsburg, Pennsylvania
GE Power Management, PK-2 Test Blocks and Plugs
After the fault…now what? A technician’s perspective on Trip fault analysis. (PowerPoint
presentation
should
only
provide
visuals)
This
is
a
subject
that
is
best
taught
when
the
students are drawn in and not sitting reading power point slides. Quick visuals to draw the students into
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g g p p
the example are more important then specifics of that example. Diversion from lecture to have students line up simple faults to vectors and solving a problem as a group allow experienced students to help the newer student sitting next to them.
I. You enter the sub after a transmission line trips, maybe trips and recloses – now what. II. What it used to be:
a. Lights off…good b. Lights on…good lets go get coffee…Story of Meridian – cogen – CJ Line reclose. c. “It’s been doing that for 20 years.”
i. Example of space shuttle doing cold launches – we did it before – must be ok. ii. A lot of companys have operated that way: BP, the coal mines in WV, UTAH,
Chili
d. People used to be very tolerant of unreliable electricity…then we were cursed with: i. The alarm clock ii. The VCR iii. The CPU iv. Ugh!!!!
III. “The best time to find your stuff is broken is during a “good” trip” a.
Usually
engineering
disasters
are
a
series
of
bad
practices
developed
over
time
b. The grid is actually very forgiving of bad workmanship but the cost when it adds up is
not pleasant. (pictures of engineering/utility disasters) c. With the combination of old and new equipment the best “tactical” view is the relay
IV. Lets first review…what do transmission faults look like a. WHY do we need to know this. If you see current go high on an osligraph –that’s the
fault right? (use the mile hi to altrurs line trip on Ir when load transferred after hilltop line trip as example)
i. Show PPT slide with 3 phase from mile hi to alturus
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1. What fault is this? (class should say 3 phase at a glance – good trip right?)
ii. Now show vectors iii. Now tell class about hilltop line trip. Note that the trip was I residual. It was set
too sensitive for the lines purpose and we changed the settings. b. First allow them time to draw it on their paper then show PPT slides c. 2 phase d. Phase to ground e. Three phase
V. Now that you walk in what do you look at (develop this section as discussion. Be open to student concepts that make sense.) a. TARGETS
i. What if you have relay target without breaker count 1. Did a breaker not trip and the squirrel blew clear or blew a downstream
fuse (district lineman got the overtime and you deserved it :.) ii. Targets vs. reclosure blocking relay (50/51)
1. What if two trips, good to lockout but no 51 targets? 2. What if B phase only trip with 4 relays? 3 relays?
iii. Targets vs. reported fault location/type (zone targets) iv. Draw 1 line of Klamath with three lines and two circuit switchers (explain that
the transformer has diff and neutral OC and the bus has no bus protection and all relays are electromechanical. Now have 3L40 fail and the three lines go on zone 2. Is this a reasonable response? Found transformer neutrals not tripped – I neutral not sensitive enough
1. PPT Hilltop 230KV breaker 1L12 (time till BFR????) 2. 2 cycle 3. 5 cycle 4. Reclose time if available
c. DFR: (especially nifty if you have electromechaincals)
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i. What is the advantage of the DFR 1. Extended records (CJ Line RX, electromechanicals) PPT 2. Nearby device values 3. 3L8 PPT
a. That’s a mechanical failure (terry yells) note current b. (terry says its relays) show TIR value
4. RX failure on CJ line d. SER:
i. Also available in other microprocessor relays ii. Did the station sequence/coordinate properly. iii. Did the right phase trip. iv. Remember that CJ Reactor PPT
a. We can now time out the BFR timing and watch the line trip and see how long it took between phases, and time till recovery.
e. HISTORY: i. Trip count cards (do we have a history of B to ground?)
1. Malin 3L179 with cows going by. (PPT) ask them what do they see weird to start with
2. Story of Bly sub 69KV fault (make example quick) 3. Shop records (history of trips on FPR type J..115KV..make example
quick) f. SCADA:
i. Reports of other trips (example of 69KV and 115KV trip at Fishole under built going to 3 phase) (make example quick but draw it up on the board)
g. LIGHT BULBS AND ANNUNCIATORS:
2. Then show event report and ask what kind of fault PPT 3. Tell them down stream motors, etc smoked all over. 4. Then tell what you found at the LTC open circuit and boomed! 5. Then draw in the delta wound transformers downstream.
II Loss of Power Line carrier at Chiloquin 1 DUTT t i i 230KV li PLC
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1. DUTT tripping 230KV line PLC 2. Show EVE PPT 3. Ask if there seems to be a problem 4. Describe event and how it bypassed standard test switch testing that comm.
Techs do. (fault cleared at remote end before time delay in busted PLC would PU)..ask if Zone two should hardly every happen (yes in some cases of step distance..but what if always..Alturus SVEC 69KV line and it magically ended)
III Hilltop line far side didn’t trip 1. Draw line with Breakers and PT 2. Show EVE PPT 3. Other end tripped? See voltage after the trip.
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Note: I couldn’t get our copier to scan our dot matrix SER report soI copied it word for word just for you.
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A 21:14:50.074 # 348 CS 11L2 BPA Manual Trip Applied (TX)
A 21:14:50.916 # 392 PCB 4019 C ph Open (52B)
A 21:14:50.917 # 354 50/62BF2 Relay Fail (62AL2)
A 21:14:50.918 # 500 PCB 4019 B Ph Open (52B)
A
21:14:50.919
#
496
PCB
4591
A
PH
Open
(AVR
16).
.
.
A 21:56:56.174 # 281 PCB 4019 Manual Close Applied (TIR‐
218)N 21:56:56:221 # 499 PCB 4019 A Ph Closed (52b)
N 21:56:56:222 # 500 PCB 4019 B Ph Closed (52b)
N 21:56:56.224 # 501 PCB 4019 C Ph Closed (52b)
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10 02/08/10 08:12:07.946 CA T +17.49 1 TIME ZONE2 EN A C 51
13 01/30/10 12:08:54.833 CA +16.93 1 SOTF ZONE2 EN A C
14
01/30/10
12:08:53.760
CA
T
+17.43
1
TIME
ZONE2
EN
A
C
5117 01/28/10 11:43:08.787 CA +17.20 1 SOTF ZONE2 EN A C
18 01/28/10 11:43:07 714 CA T +17 55 1 TIME ZONE2 EN A C 51
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18 01/28/10 11:43:07.714 CA T +17.55 1 TIME ZONE2 EN A C 51
20 01/25/10 13:17:55.330 CA +16.69 1 SOTF ZONE2 EN A C
21 01/25/10 13:17:54.259 CA T +17.69 1 TIME ZONE2 EN A C 51
25 12/23/08 12:54:48.573 CA +16.92 1 SOTF ZONE2 EN A C
26 12/23/08 12:54:47.484 ABC T +17.29 1 TIME ZONE2 EN A B C 51
29 12/16/08 12:05:26.650 CA +16.63 1 SOTF ZONE2 EN A C
30 12/16/08 12:05:25.568 CA T +17.64 1 TIME ZONE2 EN A C 51
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PHASOR DIAGRAMS II
Fault AnalysisRon Alexander – Bonneville Power Administration
For any technician or engineer to understand the characteristics of a power system, the use of phasors and polarity are essential. They aid in the understanding and analysis of how thepower system is connected and operates both during normal (balanced) conditions, as well asfault (unbalanced) conditions. Thus, as J. Lewis Blackburn of Westinghouse stated, “a soundtheoretical and practical knowledge of phasors and polarity is a fundamental and valuable
”
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resource.”
A
C
BBalanced System
A
C
B
Unbalanced System
With the proper identification of circuits and assumed direction established in a circuit diagram(with the use of polarity), the corresponding phasor diagram can be drawn from either calculatedor test data. Fortunately, most relays today along with digital fault recorders supply us withrecorded quantities as seen during fault conditions. This in turn allows us to create a phasor diagram in which we can visualize how the power system was affected during a fault condition.
FAULTS
Faults are unavoidable in the operation of a power system. Faults are caused by:
• Lightning
• Insulator failure
• Equipment failure
• Trees
• Accidents
• Vandalism such as gunshots
•Fires
• Foreign material
Faults are essentially short circuits on the power system and can occur between phases and
As previously instructed by Cliff Harris of Idaho Power Company: Faults come uninvited andseldom leave voluntarily. Faults cause voltage to collapse and current to increase. Faultvoltage and current magnitude depend on several factors, including source strength, location of fault, type of fault, system conditions, etc. Faults must be isolated from the power systemquickly in order to minimize damage to equipment, the environment, or the power system in
general, as well as to eliminate the hazard to people. Fault angle is the angle of the faultcurrent relative to it’s respective voltage. The angle of the fault current (PF) is determined for phase faults by the nature of the source and connected circuits up to the fault location. For ground faults, you also must consider the type of system grounding.
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Typical fault angles on open wire transmission lines are:
7.2-23kV = 20-45˚ lag23-69kV = 45-75˚ lag69-230kV = 60-80˚ lag230kV and up = 75-85˚ lag
For faults on transmission lines, this angle is a function of the characteristics of the transmissionline. High voltage transmission lines generally utilize large conductors, which characteristicallyhave high inductance and low resistance. Thus the fault angle (current lagging voltage) will behigh, usually in the range of 70-85˚. Lower voltage transmission lines usually employ smaller conductor, with higher resistance than larger conductors. Typical line fault angles are in the 40-
70˚ range. Fault resistance, especially with grounded faults, needs to also be taken intoconsideration too as caused by tower footings, tree limbs, ground, arc length through air, or other factors can also influence the fault angle.
Key points on making phasor diagrams from J. Lewis Blackburn’s Protective Relaying –Principles and Application, Chapter 3:
Common pictorial form for representing electrical and magnetic phasor quantities uses theCartesian coordinates with x (the abscissa) as the axis of the real quantities and y (the ordinate)as the axis of imaginary quantities. (see figures below)
+jX
+R
+Y
+X +P
Impedance Current & Voltage Power
+Q
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In normal practice, the phasor represents the rms maximum value of the positive half cycle of the sinusoid unless otherwise specifically stated.
Phasors, unless otherwise specified, are used only within the context of steady state alternatinglinear systems.
The term “phasor” can also be applied to impedance, and related complex quantities that arenot time dependent.
While represented as phasors, the impedance and power “phasors” do not rotate at systemfrequency.
The international standard is that phasors always rotate in the counterclockwise direction.However, as a convenience, on the diagrams the phasor is always shown “fixed” for the givencondition.
Phasor diagrams require a circuit diagram. The phasor diagram… has a indeterminate or vague meaning unless it is accompanied by a circuit diagram.
The assumed directions and polarities are not critical, as the phasor diagram will
confirm if the assumptions were correct, and provide the correct magnitudes andphase relations.These two complementary diagrams (circuit and phasor) are preferably keptseparate to avoid confusion and errors in interpretation.
Nomenclature for Current and Voltage: ‘Unfortunately there is no standard nomenclature for current and voltage, so confusion can exist among various authors and publications. Thenomenclature in [Blackburn’s] book has proven to be flexible and practical over many years of use, and it is compatible with power system equipment polarities.
Current and Flux. The direction [of current or flux] is that assumed to be the flow during thepositive half cycle of the sine wave.
Th i l b i t i i t d i t t i i t f
Voltage: Voltages can be either drops or rises. Much confusion can result by not clearlyindicating which is intended or by mixing the two practices in circuit diagrams. This can beavoided by standardizing on one and only one practice. As voltage drops are far more commonthroughout the power system, all voltages are shown and always considered to be drops from ahigher voltage to a lower voltage. This convention is independent of whether the letter V or E is
used for the voltage.Voltages (always drops) are indicated by either (1) a letter designation with doublesubscripts, or (2) a small plus (+) indicator shown at the point assumed to be at arelatively high potential.It may be helpful to consider current as a “through” quantity and voltage as an“ ” tit
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“across” quantity.
Phasor and Phase Rotation “Phasor” and “phase rotation” are two entirely different terms,although they almost look alike. AC phasors are always rotating counterclockwise at the systemfrequency.
In contrast, phase rotation or phase sequence refers to the order in which thephasors occur as they rotate counterclockwise. The standard sequence today is a, b,c; A, B, C; 1, 2, 3; or in some areas R, S, T.
CLASSROOM LESSONS:
Let’s try applying what we have learned by drawing in the classroom a phasor diagram for eachof the given fault types. We can make a diagram for pre-fault, fault, and post-fault. This is anopen discussion!
SINGLE PHASE FAULTS
Single phase faults are the most common. When viewing the faulted line, the phase voltagecollapses and its current increases while also lagging the voltage by some value
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collapses, and its current increases while also lagging the voltage by some value.
Pre-Fault Fault
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Post-Fault
3 PHASE FAULTS
A 3 phase fault reduces all three voltages and causes a large increase and usually highlylagging fault current symmetrically in all three phases. The angle of the lag is determined by thesystem.
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Now, let’s reverse our thinking and write in on the above graph what you think a three-phasefault would look like.
Use these values:
Voltages shrink from 115kv to 54kV line – ground. What phase angles might they be at???
Current increases from of about 200A to what??? And what phase angles might they be at???
This is a real 3 phase fault. What do you see? Is it different than what you predicted? Why?
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Pre-Fault Fault
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Post-Fault
PHASE TO PHASE FAULTS
Phase to phase faults are sometimes the most difficult to understand. The faulted phasevoltages (i.e.: b and c phases) collapse from their normal position and the phase angles canswing toward each other. During that time, current magnitudes increase as one current will lag
the faulted phase to phase voltage value (Vbc) while the other phase current will be 180˚
out.
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Pre-Fault Fault
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Post-Fault
SUMMARY NOTES FOR PHASORS AND IN-SERVICE READINGS
INTRODUCTION TO PHASORS Phasor Notation
A standard naming convention for phasors (labeling and short hand notation) is as follows:(1) Voltage phasor notation subscript labels signify a head minus tail instantaneous voltagedifference (potential drop between point 1 and point 2). e.g., point A and point B.(2) Current phasor notation subscript labels signify a tail towards head instantaneous currentdirection (current flowing from point 1 to point 2). e.g., point A to point B.The following are examples of phasor labeling and its corresponding shorthand notation.
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Notation is V A − VN = V AN
Notation is V A − VO = V AO
Notation is V AN − VBN = V AB
Notation is current flow from V AN to VBN = I AB
Note: V A and I A are short hand for V AN and I AN (the wye equivalent voltage and current).
Although the above naming convention is now considered standard, somewhat anyway, a fewtextbooks show subscript notation reverse. That is, V AO is shown as VOA or V AB is shown as VBA.This reverse notation simply means they go tail to head when naming the voltage vectors(phasors). The “O” subscript is just indicating the opposite end (or origin) of the vector.
Even though there are two basic ways of assigning double subscript notation, which addsconfusion, both formats are correct if all your vectors are assigned against the same referencedirection. Why are they both valid? This is because AC measurements oriented against the
negative half of a sinusoidal wave look identical to those oriented against the positive half. Inother words, if you connect your test circuit reference up reverse, and take all your readingsreverse, the phasor readings would be the same as if they were all referenced and takenforward. Unfortunately, the confusion doesn’t stop here.
Some text books will show notation indicating the direction of voltage rise for generating sourcesand the direction of voltage drop for loads, but utilize a different character symbol (E or V) for the type of voltage. For example, ENA for a generator source and V AN for a load connected to
the generator. “E” being an EMF source and “V” being a voltage drop. You may also findsubscripts (such as for V AO) described as V AA´ or V Aa .
A few textbooks use (open arrows) for voltage phasors and (closed arrows) for
N V A
O V A
B V A
AI
B
In assigning subscript notation, it may help to think of how you would instrument and measurethe circuit with a voltmeter, ammeter, and phase angle meter. Since the inputs of your measurement instruments represent an actual resistive load, they generate the sameinstantaneous voltage across their terminals as the system being measured. The instantaneousdirection across the phase angle meter terminals will align with the instrument polarity markings
(if current and voltage leads are connected correctly). Because of this, you can verify your diagram and notation labels by visualizing how you would connect test leads to take “in-service”
measurements. For voltage, you would want to visualize this as your red (±) “polarity” lead fromyour test set, or phase angle meter, goes to the first subscript character and black “non-polarity”lead goes to the second character. (This is analogous to a DC voltage measurement). For
current, connections to the test instrument would be such that current flowed into the red (±)“ l it ” l d f th fi t b i t t ti d t th bl k “ l it ” l d t th d
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“polarity” lead from the first subscript notation and out the black “non-polarity” lead to the secondnotation character. (This is also analogous to DC as a current measurement). For current leadconnections, you would be inserting a low resistance shunt between the notation subscripts.From a voltage only point of view, the measurement for current ends up looking the same as for voltage, since you have to break open the circuit and insert a burden that develops a voltage inyour test instrument. An additional note: When measuring DC values with a DC meter, red to
positive and black to negative would read as a positive voltage (analogous to 0° AC), and a
reversed connection would read negative (analogous to 180° AC). For a DC meter, DCindication is also a mathematical difference in potential (red input “minus” black input =measured voltage).
In summary, the double subscript labeling convention for voltage is voltage drop from point A topoint B (V AB), and current is labeled for direction as flowing from point A to point B (I AB). For example, I AN is current flowing from point A to point N and is said to be flowing from phase A tothe Neutral connection. Please note that line current is truly phase-to-neutral current for wyeconnected systems, and is also the current of an “equivalent wye” in delta connected systems.This is why I A can be short hand for I AN when talking line current.
Coordinate Grids
Most utilities, such as BPA, also have a convention for drawing phasors on an “x - y” coordinategrid. Except for the positive direction of reactive power, they follow standard academicconvention. Even so, if you prefer to explain power with positive reactive power pointing up, asdone in academic textbooks, your vector mathematics will take the form of S = V I * for plotting
Volt-Amps. “S” is apparent power, and “∗” means to conjugate the current phasor angle beforemultiplying voltage and current vectors. Conjugate means to reverse the sign of the phasor angle (change to + if -, or to - if +). To eliminate the need for changing the sign of an angle, andmaking extra calculations, phasor drawings indicate reactive power flow as positive when
pointing down.
Using this style of power flow coordinates allow the vector direction of current to describe thedirection of real and reactive power flow (“+” OUT; “ ” IN) Pointing inductive power flow
+jX
+R
+Y
+X +P
Impedance Current & Voltage Power
+Q
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A quick comment about in-service measurements that is related to plotting phasors oncoordinate grids. Try to maintain a single source as your reference for a complete set of in-
service readings. This will assure that everything measured is comparable against any other measurement, since they will all have a common reference. Of course, this is not alwayspossible, because of physical distance between measurement points (such as measurements attwo different substations). In cases where different references are used, and a phasor comparison is needed between the two sets of measurements, the reference sources will needto be linked by an independent but verifiable quantity. This is typically done by selecting acommon power system phase voltage, such as “A” phase, because larger utilities maintaincommon connections (per phase) across the entire network of 115 kV through 500 kV systems.On lower kV systems, you are not going to find yourself so lucky, so watch what you use as a
measurement reference.
Plotting Phasors From In-Service Measurements
Use a similar standard convention when describing “phasor” vectors, because it will keep youfrom making a directional error if you stick to only one convention. Phasor notation is based onmeasuring system quantities at a substation and treating each measurement as if it were for aload. The connection point of your voltage is your reference, and all current measurements are
taken assuming current flow away from the voltage reference point (i.e., all the lines connectedto a substation bus). Because a power system is bi-directional, meaning power flow can beeither forward or reverse, system current is also. You must “assume” a standard direction for allmeasurements, take all measurements as if voltage and current are existing in the assumeddirection, and let the readings tell you which way currents are actually flowing. Current “OUT”
will be in-phase with voltage and current “IN” will be 180° out-of-phase. Basically, you treatevery line connected to a bus as a load, regardless of whether you know it is or isn’t.
Here is a case in point:If in-service readings were taken on both ends of a transmission line, and done correctly by twoindividuals, the values recorded on the in-service test forms would show both ends have per phase voltages of nearly the exact same magnitude and phase angle. The current
than previously described for in-service measurements of a transmission line connected to asubstation bus. If you think about a transmission line as a single piece of power systemequipment, with two system connections, you should realize that current flow was assumed intothe device. You should also realize that taking in-service readings on a three terminal linewould also have the assumed current flow inward from all three terminals.
Drawing, or plotting, a current vector requires special care when comparing them againstvoltage vectors. You draw a current vector against a voltage vector such that the current
phasor points in the same direction as the voltage phasor when there is a 0° phase difference
(such as for current into a purely resistive load). In visualizing an in-phase measurement (0° difference), think of a current phasor as pointing in the same direction as the voltage phasor when measuring current into and the voltage across a resistor In this case voltage across is
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when measuring current into and the voltage across a resistor. In this case, voltage across isalso the voltage drop created by current flowing through the resistor. When loads are not purelyresistive (resistance plus reactance), it is the “real” portion of the rectangular components for the
AC voltage and current phasors that will be in phase. Basically, for phasor drawings of any loadwith an assumed direction of current flow into the load, the real component of current is drawnto point in the same direction as the real component of the voltage created by the current flow.Be aware that, when plotting phasors using rectangular coordinates, the “real” component of
voltage and current will be in phase for current into a load, but will be 180° “out” if current iscoming from a source.
PHASOR MATH:
In order to calculate reactance (Vars), Impedance, and more, here are some points toremember:
Formulas for Z, I, V, P, Q, VA, PF, and RF in AC:Basic relationships
V=IZ,Volt-Amps=VI
Z = Impedance in ohmsIn addition:
P.F. = COS θ
Real Power
P = VI cos θ, units Watts
Reactive Power
Q = VI sinθ, units Var (VA reactive)Lagging load (positive vars)Leading load (negative vars)
Pythagorean Theorem: c² = a² + b²
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Pythagorean Theorem: c = a + b
Vectors may be expressed either in rectangular or polar coordinates.
Rectangular Polar
R + jX Z ∠θ° R = Z cos θ Z = √(R2 + X2) jX = jZ sin θ θ = arc tan (X/R)
or tan-1 (X/R)
The equivalent value of the operator j is √-1. Therefore, assuming a vector of +1∠0° or unity atzero angle, multiplying:
by j rotates it counter clockwise to a position of 1∠90°,
by j2 = √-1 x √-1 = -1 rotates from original position to 1∠180°,
and j3 = -1 x j or 270° from the original position.
Rectangular Coordinate Math:
Adding & Subtracting (easy)
R
jXL
Z
θ
Examples of math using rectangular coordinates: Addition: Subtraction: Multiplication:
4 + j2 4 + j2 4 + j2-2 - j3 -2 - j3 -2 - j3
2 - j1 6 + j5 - j12 - j26
-8 - j4
-8 - j16 - j26 (since j2 = -1)-2 - j16 is the product.
Polar Coordinate Math:
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Multiplication (easy)
Division (easy)
Examples of math converting rectangular to polar coordinates:
4 + j2 = A∠θ1 -2 - j3 = B∠θ2
A = √(42+22) = √20 = 4.48 B = √(-22+-32) = √13 = 3.61
θ1 = arc tan (2/4) = arc tan 0.5 = 26.5° θ2 = arc tan (-3/-2) = arc tan 1.5 = 56.3°
A = 4.48∠26.5° B = 3.61∠(56.3° + 180°)
Alternate example of polar to rectangular, and rectangular to polar conversion (referencing
graph below):
P ⇒ Rx = r cosθ y = r sinθ
R ⇒ P
θ = tan-1( y/x )
°∠=°+°∠°∠°∠ 30200)1020(20)x(10=1020x2010
°∠=°−°∠=°∠
°∠105.0)1020(20)/10(
1020
2010
References for previous oscillography:
Single phase fault:
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Three phase fault (on the 500kV system, C phase opens late):
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Phase to phase fault (b-c phase):
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Never to be overlooked are the acknowledgements and assistance by:
• Protective Relaying Principles and Applications by J. Lewis Blackburn
• Bonneville Power Administration System Protection and Control Branch
• Steve Laslo, BPA Technical Training
• Richard Becker, BPA Electrical Engineer
• Cliff Harris, Idaho Power Company
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PMUs and SynchrophasorsGalina S. Antonova, ABB Inc.
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Long term
Voltage Collapses
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Protection SCADA /EMS
0.001 sec. 0.01 0.1 1 10 100
WAMPC(System Emergency Control)
Short-circuits
Long term
stability
Cascade Tripping
Blackouts
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A phasor is a complex number that representsthe phase and magnitude of an AC waveform
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.
Xm cos (2 π 60 t + φ) Xm / 2 e jφ
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Source: The Wide Area View: Synchrophasors An Intelligent Utility Reality
Webcast, PJM SynchroPhasor Technology Deployment, July 8, 2010
!#
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Power System
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2 2
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APPLICATIONS
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control actions
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Control andProtection
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PMUSubstat oMaster Timer IRIG B
Alternate methods for GPS timing
TransmissionLine
GPS Time InputPMU Functions
and Data Serving
Ethernet
InstrumentTransformer Circuits
IL
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Phasor
Measurement
Unit (PMU)
X(n) = Xr(n) + jXi(n) X = Xr + jXi
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Time Synchronization over Ethernet with 1us time accuracy!
Per IEEE 1588 Profile for Power System Applications -> PC37.238
!7:* Power System
Streaming synchrophasordata on the network to the
PDC for archiving . . .
GPS Satellite Time Synchronization
2,2
2
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APPLICATIONS
. . . data displayand real time
control actions
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Time Synchronization over Ethernet with 1us time accuracy!
Per IEEE 1588 Profile for Power System Applications -> PC37.238
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7/29/2019 Concurrent Lectures Part 1
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APPLICATIONS
ETHERNET
2 22
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• Analog
– Analog Microwave channels
– Leased Telephone Lines– Multiplexer voice channels
• Digital
– Digital Microwave channels– Leased Digital Data Service
– Multiplexer data channels
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p
• Dedicated Fiber Optic Cable
– Singlemode Fiber
– Multimode Fiber
• Power Line Carrier (PLC)
– ON / OFF Carrier– Frequency Shift Carrier (FSK)
The power line is already there!
It originates and terminates at the desired locations
The power line is a robust medium that is designed forreliable service
Under complete control of the utility
d i l i h li f l
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• Increased signal attenuation may occur at the line fault,
or adjacent to a line fault• Noise levels may increase at the fault, disguising the
valid signal
• The high frequency PLC signal must be coupled to thepower line
– Tuner, traps, CCVT’s
•Single Function,– Once specific function performed
• ON / OFF for distance DCB schemes
• FSK for distance POTT schemes or transfer trip (BFR)• Phase comparison relaying (ON / OFF or FSK)
• Voiceor telemetry
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Voice or telemetry
•Multifunction Single Sideband (SSB)– Capable of handling several functions simultaneously
– Protective relaying and voice, telemetry, data (SCADA)
•AM Keyed (ON / OFF)
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•FSK Frequency Shift Keying
Line Trap Line Trap
CouplingCapacitor
CouplingCapacitor
230 KV / 80 Mile Line
400 Ohms
470 Ohms 400 Ohms
216 Ohms
400 Ohms 471 Ohms
216 Ohms
400 Ohms
Bus Impedance700 Ohms
Bus Impedance600 Ohms
(3) Line Impedance@ 240 Ohms
(3) Line Impedance@ 240 Ohms
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On / Off Carrier
FSK Carrier
RFHybrids
Line Tuner
On / Off Carrier
FSK Carrier
RFHybrids
Line Tuner
• The range of characteristic line impedance is from 200 to800 ohms
Line Trap
Depending upon the length, andtermination, a tap can present a low
impedance at the carrier frequency
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Transmitter
Line TunerImpedance Matching Transformer
SWR Meter
Line Impedance is determined by:
•Line Resistance•Line Inductance•Capacitance•Conductor Radius•Height Above the ground•Phase Separation
•Line Taps•Coupling method
• When a transmission line is terminated with an impedance that isnotequal to the characteristic impedance of the transmission line, not all of the power is absorbed by the termination
• Part of the power is reflected back, so that phase addition and
subtraction of the incident, and reflected waves create a voltagestanding wave pattern on the transmission line
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Transmitter
Line TunerIncident Wave
Reflected Wave
Voltage Standing Wave
Transmitter #1Reflected Power
Line TunerImpedance Matching Transformer
SWR Meter
Ten percent or less
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Transmitter #2Reflected Power
X
•Impulse
–Discrete – irregular or periodic–Superimposed or random
–Predominant on power lines
•Sources–Lightning
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–Disconnect switches–Circuit breakers
–Line faults
–Rotating machinery–Arc furnaces
CC CC
INSULATED SINGLECONDUCTOR LEAD-IN
Measure He
re
Signal to Noise Ratio determined atthe receiver terminal
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Carrier
Transmitter
LINE TUNER
COAX CABLE COAX CABLE
LTULTU
Carrier
Receiver
You can only improve the SNR with a larger transmitter signal, orbetter line tuning
•Noise levels for 34.5 kV and 230 – 345 kV
•More noise at higher voltage levels
230 KV
to345 kV
34.5 KVto
161 kV
AdverseWeather
-10
-20
-30
NoiseLevel(d )
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230KVto
345 kV
34.5KVto
161 kV
FairWeather
-40
-50
(dBm)
100 kHz 200 kHz 300 kHz
Frequency
•Noise levels for 500 – 765 kV
•More noise at higher voltage levels
765 kV
AdverseWeather
0
-10
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500 kV
765 kV
500 kV
Weather
FairWeather
-20
-30
-40
NoiseLevel(dBm)
100 kHz 200 kHz 300 kHzFrequency
AM Carrier Channel Losses
Coaxial Cable 0.1 dBLine Tuner 2.2 dB
Shunt Losses (Bus) 2.7 dBLine attenuation 7.0 dB
Fair Weather Losses 12.0 dB
Coaxial Cable 0.1 dBLine Tuner 2.2 dB
Shunt Losses (Bus) 2.7 dBLine attenuation 8.5 dB
Poor Weather Losses 13.5 dB
40
30
20
10
0
-10 P o w e r L e v e l d B m
10 Watt TX level
28 dBm Rx Level (40dBm - 12 dB Loss Fair Weather )
d d h l l
26.5 dBm Rx Level (40dBm - 13.5 dB Loss Poor Weather )
x
x
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14
Note:The signal to noise ratio is determined atthe coupling capacitor at the receiving terminal.The signal and noise are equally attenuated bythe losses at the receiving terminal. Typical valuesobtained from IEEE PLC Guide / ANSI/IEEE Std 643-1980
-20
-30
-400 10 20 30 40 Path Attenuation
-18 dBm Adverse Weather noise level
Fair Weather S/N Ratio 63 dB[28 dB - (-35) = 63.0dB]
-35 dBm Good Weather noise level
Poor Weather S/N Ratio 44.5 dB[26.5 dB - (-18) = 44.5dB]
FSK Carrier Channel Losses
Coaxial Cable 0.1 dBLine Tuner 2.2 dB
Shunt Losses (Bus) 2.7 dBLine attenuation 11.6 dB
Fair Weather Losses 16.6 dB
Coaxial Cable 0.1 dB
Line Tuner 2.2 dBShunt Losses (Bus) 2.7 dBLine attenuation 13.6 dB
Poor Weather Losses 18.6 dB
40
30
20
10
0
-10 P o w e r L e v e l
d B m
1 Watt TX level (30 dBm)
13.4 dBm Rx Level (30dBm – 16.6 dB Loss Fair Weather )
11.4 dBm Rx Level (30dBm – 18.6 dB
Loss Poor Weather )
x
x
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15
Note:
The signal to noise ratio is determined atthe coupling capacitor at the receiving terminal.The signal and noise are equally attenuated bythe losses at the receiving terminal. Typical valuesobtained from IEEE PLC Guide / ANSI/IEEE Std 643-1980
10
-20
-30
-400 10 20 30 40 Path Attenuation
-19 dBm Adverse Weather noise level@ Receiver Terminal
Fair Weather S/N Ratio 63 dB[13.4 dB - (-36) = 49.4dB] -36 dBm Good Weather noise level
@ Receiver Terminal
Poor Weather S/N Ratio 44.5 dB[11.4 dB - (-19) = 30.4dB]
•Phase to ground
•Phase to phase
•Mode1– Threephasecoupling
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Mode 1 Three phase coupling
CC CC
LINE TUNER LINE TUNER
A
B
C
COAX CABLE
INSULATED SINGLECONDUCTOR LEAD-IN
INSULATED SINGLECONDUCTOR LEAD-IN
LTULTU
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Carrier
Equipment
COAX CABLE COAX CABLE
Carrier
Equipment
Phase to ground is the simplest, and most frequently used because it utilizes the minimum
amount of equipment, and is fairly efficient.
It has the disadvantage of having greater signal attenuation if the soil has poor conductivity.
TuningElements
More efficient.
Better dependability as it
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18
Line Tuner
Line Tuner
TuningElements
BalanceTransformer
Better dependability as itcan withstand a singlephase to ground faults.
It is not affected by poorground conductivity.
A
B
C
Line Tuner
TuningElements
TuningElements
BalanceTransformer
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19
Line Tuner
Line Tuner
TuningElements
BalanceTransformer
InvertedPolarity
•Most efficient coupling technique, because itprovides the lowest losses.
•It also provides the greatest channeldependability, because it can withstand bothsingle phase to ground and phase to phase line
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faults.•Not affected by poor ground conductivity.
•Most expensive technique.
•Coupling
•Transpositions
•Tapped lines•Fault Attenuation
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•Carrier Frequency–Greater losses at higher frequency
•Line Construction
–Bundled conductors have lower losses
•Coupling method
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•Line transpositions–A single transposition can cause as much as 6 dBloss
•Weather conditions–Frost or rain can double line attenuation
•Insulator leaka e
System Loss Calculations
Transmitter path coupling & shunt losses
Local Coaxial Cable 0.1 dBLocal Coupling Capacitor 2.2 dB
Local Shunt Loss 2.7 dB
Line Attenuation 7.0 dbSignal Loss onto transmission line 12.0 dB
Signal Level on line 40 dBm (10 Watts) – 12 db =28 dBm (631 mw)
Fair Weather Noise Level –35 dBm Fair S/N Ratio = 28 – (-35) =63 dB
Adverse Weather Noise Level –18 dBm Adverse S/N Ratio = 28 – (-18) =46 dB
Receiver path coupling & shunt losses
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Receiver path coupling & shunt losses
Remote Coaxial Cable 0.1 dBRemote Coupling Capacitor 2.2 dB
Remote Shunt Loss 2.7 dBTotal system losses 17 dB
Received Signal Strength 40 dBm (10 Watts) – 17 db =23 dBm (200 mw)
ANSI/IEEE Std 643-1980
TX
TX
Hyb
Unidirectional
TX
RX
SkHyb
Bi-directional
FrequencyShift
NominalBandwidth
ChannelDelay
UnidirectionalChannel
Spacing
BidirectionalChannel
Spacing100 HZ 200 HZ 12 ms 500 HZ 1000 HZ250 HZ 500 HZ 7 ms 1250 HZ 2500 HZ500 HZ 1000 HZ 5 ms 2500 HZ 5000 HZ
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2 4 4 . 9
k H z
2 4 5 . 0
k H z
2 4 5 . 1
k H z
2 4 5 . 4
k H z
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k H z
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k H z
500 HzSpacing
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k H z
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k H z
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k H z
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2 4 6 . 1
k H z
1000 HzSpacing
• A transformer tappedtoalinemay causeattenuationtothesignal
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A transformer tapped to a line may cause attenuation to the signal
• The length of the tap line to the transformer may be near thequarter-wavelength of the carrier.– When a tap line is not trapped or is terminated into a power transformer, and is one
quarter wavelength of the carrier frequency in length or odd multiples thereof, themaximum out-of-phase reflected signal will occur. This reflected energy will be out
of phase with the transmitted signal and can cause signal cancellation.
• Provides high impedanceat carrier frequencies andnegligible impedance atpower frequency
• Must be designed to carryfault current
• Tuning:
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• Tuning:– Single or dual frequency
– Adjustable or fixedbandwidth
– High pass
Inductance Blocking Frequency Band (kHz)
(mH) Impedance
(Ohms) 1 2 3 4
0.2
0.3
400 200 - 500 160 - 300 130 - 200 100 - 150600 250 - 500 200 - 330 160 - 230 130 - 170
400 150 - 500 140 - 400 120 - 300 90 - 200
400 100 - 500 80 - 300 60 - 120 40 - 60
600 200 - 500 160 - 300 120 - 180 100 - 140
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0.5400 100 500 80 300 60 120 40 60
600 130 - 500 110 - 300 80 - 150 70 - 110
Voltage (kV) Capacitance Range (pF)
69 10,000 - 37,500115 6,000 - 47,500138 5,000 - 38,100161 4,300 - 30,500230 3,000 - 22,800
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345 2,150 - 15,200500 1,400 - 10,100
Larger values of the coupling capacitors provide greater frequency bandwidth
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.Grounding Switch
Surge Arrester
Optional Drain Coil
Coupling Capacitor (Xc @ f 0)
Transmission Line
TunerCabinet
60 Hz Blocking Capacitor
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30
.Impedance MatchingTransformer
Adjustable Inductance
To/From PLC Terminal
.
Grounding Switch
Surge Arrester
Optional Drain Coil
Tune to block F2 Tune to block F1
To / From CCVT
Parallel Tuning Units
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Impedance MatchingTransformers
F1
Tune to pass F1
F2
Tune to pass F2 Series Tuning Units
•RF Hybrids•Balanced Combiner
•High Power Combiner•Band Pass Filter
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•To minimize
– Intermodulation
–Loading influences•Separation TX/TX or TX/RX
Transmission Line
Trap
Tuner
CouplingCapacitor
OutdoorCoax Cable
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33
Indoor
HybridL/C Filter
To / From PLC Terminal Equipment
~~~or or
PORT 1
PORT 3
PORT 2“LINE”
PORT 4DUMMYLOAD
Tx-1
Tx-2
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• Input to any port is split and appears at the two adjacentports
• Dummy load impedance must be adjusted to balance Port
2 impedance• No output appears at the opposite port
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Provides isolation between transmitters and receivers
To / From
Line TunerK
Hyb
TX
RX
50 Ohm
50 Ohm
Transhybrid
Loss 40 dB
0.5 dB loss
13.5 dB loss
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36
The Skewed Hybrid presents 0.5 dB of loss in the transmitting path, and13.5 dB of loss in the receiver path.Hybrids can provide greater then 40 dB of transhybrid loss when operatinginto the specified output impedance.
1. Measure and record the transmitter level at the transmitter port
2. Measure and record the level of the transmitter frequency at the receiver port.
Adjustment Procedure
2 Transmitters + 2 Receivers
Tuner
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Rx1
Rx2
Tx1 Tx2
SK
R
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