8/6/2019 Cable Rating Verification for North Arm Bridge

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Study: North Arm Bridge Model, Cables in Duct and in Air (Shaded)

Execution: Steady State Analysis

Date: 08/03/2011

Frequency: 50 Hz

Conductor Resistances: IEC-228

Fraction of conductor current returning

through sheath for single phase cables: 0

Value

55

Shaded

0

0

GROUP CABLES IEC

60287-2-2

2

Load Factor Temperature Ampacity

X[m] Y[m] [p.u.] [C] [A]

1 A 0 0.5 1 89.3 1615.3

1 B 0.68 0.5 1 90 1615.3

1 C 1.36 0.5 1 89.2 1615.3

Bernardo David

3 \ 1

Cable\Cable

type noCircuit Phase

Location

1 \ 1

2 \ 1

Configuration Type

Configuration Selected

Summary Results

Solution converged

Shaded/Exposed to Sun Shaded/Exposed

Solar Radiation W/m2

Sun Absorption Coefficient p.u.

Summary

Results

Installation Type: Cables in Air

Parameter Unit

Ambient Temperature C

8/6/2019 Cable Rating Verification for North Arm Bridge

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Study: North Arm Bridge Model, Cables in Duct and in Air (Shaded)

Execution: Steady State Analysis

Date: 08/03/2011

No Unit 1

1 1

2 1

3 kV 275

4 mm2 2000

5 C 90

6 C 105

7 copper

8 uW.cm 1.7241

9 1/K 0.00393

10 C 234.5

11 J/K.m3 3.45

12 6 segments

13 No

14 0.44

15 0.37

16 mm 54.3

17 Yes

18 mm 2.4

19 mm 59.1

20 Yes

21 XLPE (unfilled)

22 K.m/w 3.5

23 0.001

24 2.5

25 mm 25

26 mm 109.1

27 Yes

28 semi-conducting

29 mm 2.1

30 mm 113.3

31 Yes

32 No

Cables input data

Diameter

Sheath

Is layer present?

Is around each core? (Only for Three core cable)

Thickness

Diameter

Insulation screen

Is layer present?

Material

Thickness

Insulation

Is layer present?

Material

Thermal resistivity

Dielectric loss factor - ( tan d )

Relative permittivity ( e )

kp (Proximity effect coefficient)

Diameter

Conductor shield

Is layer present?

Thickness

Diameter

Temperature coefficient

Reciprocal of temperature coefficient of resistance (BETA)

Volumetric specific heat (SH)

Construction

Is cable dried?

ks (Skin effect coefficient)

Maximum Steady-State Conductor Temperature

Maximum Emergency Conductor Temperature

Construction

Conductor

Material

Resistivity @20C

Description

General cable information

Cable type no

Number of cores

Voltage

Conductor area

8/6/2019 Cable Rating Verification for North Arm Bridge

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33 aluminum

34 uW.cm 2.84

35 1/K 0.00403

36 C 228

37 J/K.m3 2.5

38 Corrugated

39 mm 3

40 mm 65

41 mm 68

42 mm 11.35

43 mm 136

44 Yes

45 polyethylene

46 K.m/w 3.5

47 mm 9

48 mm 154

49 mm 154

No Unit 1

1 Yes

2 0.3

3 Yes

4 3.5

5 Yes

6 Yes

7 mm 2258 mm 250

No Symbol Description Unit 1 2 3

1 Cable type no 1 1 1

2 Circuit no 1 1 1

3 Phase A B C

4 qc Conductor temperature C 89.3 90 89.2

5 qi Sheath/Shield temperature C 72.7 73.4 72.6

6 qj Armour/Pipe or Jacket temperature C 70.2 70.8 70.1

7 qs Exterior duct temperature C 0 0 0

8 qa Ambient temperature C 55 55 55

Duct/Pipe dimensions

Inside diameter of Duct/PipeOutside diameter of Duct/Pipe

Temperature calculations

Polyethylene duct in air

Resistivity (RH)

Minor section length

Cross bonded cable system, section lengths unknown

Cables touching

Single conductor cables NOT touching

SPECIFIC INSTALLATION DATA

Bonding

1-CON, sheaths cross bonded, flat configuration

Loss factor constant

Loss factor constant

Duct construction

Thermal resistivity

Thickness

Diameter

Overall cable diameter

Diameter

Description/Value

Outer radius of the corrugated sheath

Thickness

Diameter

Jacket

Is layer present?

Material

Temperature coefficient

Reciprocal of temperature coefficient of resistance (BETA)

Volumetric specific heat (SH)

Corrugated construction

Thickness of the corrugated sheath

Inner radius of the corrugated sheath

Material

Resistivity @20C

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Cable type no: 1

Cable type: EXTRUDED

Cable ID: ACR LSC

Cable title: 275KV, 2000 mm2 XLPE Cu Milliken

Bernardo David

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Electrical Parameters

Study: North Arm Bridge Model, Cables in Duct and in Air (Shaded)

Execution: Steady State Analysis

Date: 08/03/2011

No Unit 1 2 3

1 1 1 1

2 W/km 0.009 0.009 0.009

3 W/km 0.01145 0.01148 0.01145

4 W/km 0.01001 0.01001 0.01001

5 W/km 0.01274 0.01276 0.01274

6 W/km 0.02318 0.02318 0.02318

7 W/km 0.0281 0.02816 0.02809

8 W/m 33.29602 33.29602 33.29602

9 W/m 1.79433 1.79433 1.79433

10 W/m 0.94555 2.38695 0.68289

11 W/m 0 0 0

12 W/m 36.03591 37.47731 35.77325

13 mF/km 0.22656 0.22656 0.22656

14 mH/km 0.74037 0.74037 0.74037

15 W/km 0.23259 0.23259 0.23259

16 mH/km 0.51576 0.51576 0.51576

17 W/km 0.16203 0.16203 0.16203

18 W/km0.01274 +

j0.23259

0.01276 +

j0.23259

0.01274 +

j0.23259

19 W/km0.01274 -

j0.23259

0.01276 -

j0.23259

0.01274 -

j0.23259

20 W/km0.03318 +

j0.16203

0.03318 +

j0.16203

0.03318 +

j0.16203

21 W 57.16518 57.16518 57.16518

22 kV/mm 8.76482 8.76482 8.76482

23 kV/mm 4.74794 4.74794 4.74794

24 MW.km 97.56406 97.56406 97.56406

25 MW.km 0.97564 0.97564 0.97564

26 0.04471 0.04471 0.04471

27 kVAR/km 5383.1758 5383.1758 5383.1758

28 A/km 11.30141 11.30141 11.30141

29 V/A/km 0.02207 0.0221 0.02206

30 V/km 0 0 0

Reduction factor

Charging Capacity of three phase system at Uo

Charging Current for One Phase

Voltage Drop for Three Phase System

Induced Voltage on Metallic Sheath

Surge Impedance

Others

Dielectric Stress at Conductor Surface

Dielectric Stress at Insulation Surface

Insulation Resistance @ 20C

Insulation Resistance @ 90C

Reactance of Conductor

Inductance of Metallic Sheath

(Flat formation, regular transposition and cross bonded)

Reactance of Metallic Sheath

Positive Sequence Impedance

Negative Sequence Impedance

Zero Sequence Impedance

Metallic Screen Losses

Armor/Pipe Losses

Total Losses

Capacitance, Inductance, Impedance

Capacitance

Inductance of Conductor

AC Resistance of Conductor @ Operating Temperature

DC Resistance of Sheath @ 20C

DC Resistance of Sheath @ Operating Temperature

Losses

Conductor Losses

Dielectric Losses

Description

Cable type no

Resistances (DC/AC)

DC Resistance of Conductor @ 20C

DC Resistance of Conductor @ Operating Temperature

AC Resistance of Conductor @ 20C

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Study: North Arm Bridge Model, Cables in Duct and in Air (Shaded)

Execution: Steady State Analysis

Date: 08/03/2011

No Symbol Description Unit 1 2 3

1 Cable type no 1 1 1

2 Ro Conductor DC Resistance at 20C W/m 9.00E-06 9.00E-06 9.00E-06

3 R' Conductor DC Resistance at Max Temp W/m 1.15E-05 1.15E-05 1.14E-05

4 R Conductor AC Resistance at Max Temp W/m 1.27E-05 1.28E-05 1.27E-05

5 Ks Factor Used in Calculating Xs (Skin Effect) 4.40E-01 4.40E-01 4.40E-01

6 Kp Factor Used in Calculating Xp (Proximity Effect) 3.70E-01 3.70E-01 3.70E-01

7 ys Skin Effect Factor 1.11E-01 1.10E-01 1.11E-01

8 yp Proximity Effect Factor 1.73E-03 1.72E-03 1.73E-03

9 dc Conductor Diameter m 5.43E-02 5.43E-02 5.43E-02

10 c Distance Between Conductor Axes m 0.00E+00 0.00E+00 0.00E+00

11 C Cable Capacitiance F/m 2.27E-10 2.27E-10 2.27E-10

12 tan d Dielectric Loss Factor 1.00E-03 1.00E-03 1.00E-03

13 e Insulation Relative Permitivity 2.50E+00 2.50E+00 2.50E+00

14 Wd Cable Dielectric Losses Per Phase W/m 1.79E+00 1.79E+00 1.79E+00

15 l1 Screen Loss Factor 2.84E-02 7.17E-02 2.05E-02

16 l'1 Screen Loss Factor Caused by Circulating Current 8.50E-03 0.00E+00 0.00E+00

17 l''1 Screen Loss Factor Caused by Eddy Current 1.99E-02 7.17E-02 2.05E-02

18 l2 Armour Loss Factor 0.00E+00 0.00E+00 0.00E+00

19 Rs Screen AC Resistance at Cable Normal Operation W/m 2.81E-05 2.82E-05 2.81E-05

20 gs Coefficient Used in IEC 60287-1-1 Clause 2.3.6.1 1.02E+00 1.02E+00 1.02E+00

21 b1 Coefficient Used in IEC 60287-1-1 Clause 2.3.6.1 1.18E+02 1.18E+02 1.18E+02

22 rs Screen Electrical Resistivity @ Operating Temp. W.m 2.84E-08 2.84E-08 2.84E-08

23 Ds External diameter of Screen (Sheath) m 1.33E-01 1.33E-01 1.33E-01

24 ts Screen (Sheath) Thickness m 3.00E-03 3.00E-03 3.00E-03

25 m Coefficient Used in IEC 60287-1-1 Clause 2.3.6.1 1.12E+00 1.12E+00 1.12E+00

Centre Phase

26 l0 Coefficient Used in IEC 60287-1-1 Clause 2.3.6.1 3.05E-02 3.05E-02 3.05E-02

27 D1 Coefficient Used in IEC 60287-1-1 Clause 2.3.6.1 5.94E-03 5.94E-03 5.94E-03

28 D2 Coefficient Used in IEC 60287-1-1 Clause 2.3.6.1 0.00E+00 0.00E+00 0.00E+00

Leading Phase

29 l0 Coefficient Used in IEC 60287-1-1 Clause 2.3.6.1 7.62E-03 7.62E-03 7.62E-03

30 D1 Coefficient Used in IEC 60287-1-1 Clause 2.3.6.1 3.05E-02 3.05E-02 3.05E-02

31 D2 Coefficient Used in IEC 60287-1-1 Clause 2.3.6.1 4.44E-06 4.44E-06 4.44E-06

Lagging Phase

32 l0 Coefficient Used in IEC 60287-1-1 Clause 2.3.6.1 7.62E-03 7.62E-03 7.62E-03

33 D1 Coefficient Used in IEC 60287-1-1 Clause 2.3.6.1 -6.33E-03 -6.33E-03 -6.33E-03

Cable Parameters under

Normal Operation

Normal Operation IEC 60287-1-1

8/6/2019 Cable Rating Verification for North Arm Bridge

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Study: North Arm Bridge Model, Cables in Duct and in Air (Shaded)

Execution: Steady State Analysis

Date: 08/03/2011

No Symbol Description Unit 1 2 3

Cable Parameters under

Normal Operation

34 D2 Coefficient Used in IEC 60287-1-1 Clause 2.3.6.1 9.21E-04 9.21E-04 9.21E-04

35 d Screen or sheath mean diameter m 1.30E-01 1.30E-01 1.30E-01

36 X Screen (Sheath) Reactance W/m 1.62E-04 1.62E-04 1.62E-04

37 M Coefficient Used in IEC 60287-1-1 Clause 2.3.5 0.00E+00 0.00E+00 0.00E+00

38 N Coefficient Used in IEC 60287-1-1 Clause 2.3.5 0.00E+00 0.00E+00 0.00E+00

39 Xm Coefficient Used in IEC 60287-1-1 Clause 2.3.5 W/m 0.00E+00 0.00E+00 0.00E+00

40 F Coefficient Used in IEC 60287-1-1 Clause 2.3.5 0.00E+00 0.00E+00 0.00E+00

41 T1 Thermal Resistance Between Conductor-Screen C.m/W 0.4863 0.4863 0.4863

42 t1 Insulation Thickness Between Conductor-Screen m 0 0 0

43 rTi Thermal Resistivity of Insulation C.m/W 3.5 3.5 3.5

44 T2 Thermal Resistance Between Screen and Sheath C.m/W 0 0 0

45 t2 Thickness of Bedding m 0 0 0

46 rTb Thermal Resistivity of Bedding C.m/W 0 0 0

47 T3 Thermal Resistance of Outer Serving C.m/W 0 0 0

48 t3 Thickness of Serving m 0 0 0

49 rTs Thermal Resistivity of Serving C.m/W 0 0 0

50 T3 Thermal Resistance of Jacket C.m/W 0.06924 0.06924 0.06924

51 t3 Thickness of Jacket m 0.009 0.009 0.009

52 rTj Thermal Resistivity of Jacket C.m/W 3.5 3.5 3.5

A. Cable In Air, Protected From Solar Radiation

53 T4 Thermal Resistance of Surroundings Medium C.m/W 0.42239 0.42097 0.42266

54 h Heat Dissipation Coefficient 4.42245 4.42245 4.42245

55 Z Coefficient Used in IEC 60287-2-1 Clause 2.2.1.1 0.21 0.21 0.21

56 E Coefficient Used in IEC 60287-2-1 Clause 2.2.1.1 3.94 3.94 3.94

57 Dqs Cable Surface Tempemperature Above Ambient C 0.42239 0.42239 0.42239

58 kA See IEC 287, Cl. 2.1.1 1.89567 1.89567 1.89567

59 I Cable Current Ampacity A 1615.3 1615.3 1615.3

Normal Operation IEC 60287-2-1

Bernardo David