comparison of single layer and double layer winding … · mig 23s other old russian fighters...
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International Journal of Mechanical Engineering and Technology (IJMET) Volume 8, Issue 8, August 2017, pp. 1310–1320, Article ID: IJMET_08_08_133
Available online at http://www.iaeme.com/IJMET/issues.asp?JType=IJMET&VType=8&IType=8
ISSN Print: 0976-6340 and ISSN Online: 0976-6359
© IAEME Publication Scopus Indexed
COMPARISON OF SINGLE LAYER AND
DOUBLE LAYER WINDING IN SURFACE
MOUNTED PMSG FOR AIRCRAFT
APPLICATION
Bharathi Thangaraj
Assistant Professor, Department of Electrical and Electronics,
Veltech Dr.RR & Dr.SR University, India
ABSTRACT In this paper, the electromagnetic performance of Surface Mounted Permanent
Magnet Synchronous Generator (SM-PMSG) with single and double layer windings
are compared for aircraft application. The electromagnetic analysis of SM-PMSG is
investigated by 2 dimensional transient motion analysis using FEA software. Finally,
the overall performance such as electromagnetic analysis, voltage, current,
temperature of analytically calculated machine is compared with simulation results.
Keywords: Aircraft, SM-PMSG; single layer and double layer winding; Finite Element
Analysis software; Electromagnetic and Thermal analysis.
Cite this Article: Bharathi Thangaraj, Comparison of Single Layer and Double Layer
Winding In Surface Mounted Pmsg for Aircraft Application, International Journal of
Mechanical Engineering and Technology 8(8), 2017, pp. 1310–1320.
http://www.iaeme.com/IJMET/issues.asp?JType=IJMET&VType=8&IType=8
1. INTRODUCTION
Indian aircraft project is called LCA (Light Combat Aircraft), It is replaced by MiG 21s and
MiG 23s other old Russian fighters belongs to second generation design, The new aircraft
design is modified by Indian aeronautics limited [1], The aircraft that would spawn from the
program was designated the LCA and it would be one of the world’s lightest, yet most
capable dedicated multi-role aircraft of all time, it is so called as Fourth generation aircraft [2]
In LCA 20-60 KVA generator provided electrical power supply for aircraft electrical
loads, during emergency conditions if this power system fails means in order to provide
backup power supply IGS (Integrated Generator System) is used, IGS provides emergency
loads such as landing, cockpits, cabin lighting, gunshots and food preparation, etc.
Electrical machines are playing a vital role in the development of Aircrafts. Multi stage
generator system act as a backup power supply unit to the Aircrafts. This generator system
gets the mechanical input from the aircraft engine through the Aircraft mounted auxiliary
gearbox (AMAGB). A common shaft connects all the three integrated machines in this
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generator system [2-4]. In general, the speed of modern aircraft generators lies from 7000rpm
to 24000rpm and output power is from 30W to 250KW. The traditional civil aircrafts have
two main distribution power busses such as high power 3Ф, 115V Ac, 400Hz and low power
28V DC [5].
Normally, PMSG is one of the machines used in the multistage generator system for
aircraft power supply. The main advantage of this machine is to eliminate slip rings &
brushes. In addition, it has the advantages of high power density and better heat dissipation
capability. Due to its self-excitation capability, high PF & efficient operation is possible and
the machine has the capability of overloading & handling full load at a very low speed
operation [6-9].
In this paper, the entire model of 63W/14.83 V, 95000 RPM permanent magnet
synchronous generator designed theoretically. The Electromagnetic and Thermal analyses of
PMSG carried out using the software of 2D-transient finite element analysis. At last, the
overall performance of the machine compared with the single and double layer coil. The
organization of the paper is as follows: Second section deals with description of overall
system, modeling and design parameters. The simulation analysis is given in section III. The
work is concluded in section IV.
2. SYSTEM DESCRIPTION
2.1. Integrated Generator System
The objective of the Integrated Generator System is to provide dc power for the different
loads in the aircraft. The structure of such an Integrated Generator System is shown in Figure
1.
Figure 1.General structure of Integrated Generator System.
The Integrated Generator System comprises of three integrated machines. They are
Permanent Magnet Synchronous Generator (PMSG), Main Exciter (ME) and Main Generator
(MG). All the three machines mounted on a common shaft and coupled to the aircraft engine
through a gearbox. The AC output voltage of PMG rectified by Generator control unit (GCU)
for exciting the field winding of the main generator. The rectified output of GCU is a
regulated DC voltage, which will apply to field windings of the main exciter.
The main exciter generates ac voltage which is then rectifies by a rotating rectifier in to
constant dc voltage output. The output voltage of the main generator regulates by the main
exciter. The output of the main generator rectified using 12-pulse AC – DC converters in to
28V DC, which will supply to an emergency DC load bus of the aircraft. The generator
incorporates with forced air-cooling and operates at high speed, high ambient temperature and
handles very high current.
Gear box
coupled
with
aircraft
engine
PMSG Main
exciter
Rotating
rectifier
Alternator Rectifier DC
load
Generator
control unit
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2.2. Mathematical Modeling of SM-PMSG
In this section, an accurate model of PMSG modeled to satisfy the need in the aircraft
application. The PMSG has nine stator slots and 8 rotor poles, as shown in (Figure 2). The
stator has winding and the rotor carries permanent magnet. High-energy samarium cobalt
(Sm2Co17) used as permanent magnets on the rotor. The design consideration of the SM-
PMSG is to meet the power requirement of aircraft. The magnets on the rotor mounted in
such a way that the leakage flux is less and the working flux is high. Cold rolled Steel uses for
stator/rotor laminations with 0.35mm thickness.
(a) (b)
Figure 2 Solid model View of SM-PMSG; (a) Single layer winding (b) Double layer winding
The RMS value of the fundamental component of the generated voltage/phase in PMSG is
given by
E��� � 4.44fN��K���� (1)
Where,
f is frequency of the induced voltage in PMSG, in Hz., Nph is No. of turns in the stator
coils per phase, Kw1 is fundamental harmonic winding factor, ΦPM is flux per pole of the
permanent magnet in weber.
Percentage of Armature Reaction MMF is given by
%F ����� ���∅������
��� (2)
Where,
Iph is phase current in amps, Ntc and Ncp is number of turns per coil and number of coils
per pole respectively, Ф is power factor angle, A is number of parallel paths, P is number of
rotor poles.
The state vector form of the stator voltages in general can be expressed as in Eq. (3),
V !" �R�I !"� %
&'()�*
&+ (3)
Where
Rs is stator winding resistance per phase, Iabc is stator phase current, Vabc is stator phase
voltages and λabc is Flux linkage with the stator coils.
The stator voltage equations in synchronous reference frame is given as in Eq. (4) & (5)
respectively for d-axis and q-axis.
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Comparison of Single Layer and Double Layer Winding In Surface Mounted Pmsg for Aircraft
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V&� = R�i&
� + &'-
*
&+− ω0λ&
� (4)
V2� = R�i2
� + &'3
*
&+− ω0λ2
� (5)
Where
Vsd and V
sq are the d-q-axis stator voltages, i
sd and i
sq are the d-q-axis stator currents, λ
sd
and λsq are the d-q-axis stator Flux linkages, Rs is stator resistance and ωe is the electrical
speed in rad/s.
The expressions for flux linkage are
456 = 7585
6 + 49 (6)
4:6 = 7:8:
6 (7)
The expressions for length of the magnet are
L� ==
?@ (8)
Where,
Bg is gap flux density, Lg is air gap length and Hm is field intensity of the magnet.
The expressions for magnet pole area are
A� =
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Table 1 Parameters of the PMSG.
Parameters Values
Rated Power, (W) 63
Rated DC Voltage, Vdc (V) 14.83
Phase Current, Iph (A) 4.23
Stator Outer Diameter, ods (mm) 108
Rotor Outer Diameter, odr (mm) 78.5
Length of the Air gap, Lg (mm) 0.6
Speed, N (rpm) 9500
Number of Slots, S 9
Number of Poles, P 8
Power Factor 0.88
Flux/Pole, (kMax) 6.62
Total Losses, (W) 21.24
Efficiency, (%) 85.5
3. SIMULATION ANALYSIS
In this section, the design of PMSG discussed. In the finite element method, a given system
divides into finite elements called meshes and an approximate solution of the problem
developed in each phase. This method allows accurate representation of complex geometrics
& inclusion of dissimilar materials. It enables accurate representation of the solution within
each element to bring out all local effects. The design parameters evaluated in section 2 is
modeled and simulated in the FEM environment using MagNet and ThermNet packages.
3.1 Electromagnetic analysis of SM-PMSG
In this electromagnetic analysis is carried out using MagNet software 7.2, it is a powerful
simulation software used to carried out nonlinear elements with complicated structure, In
preprocessor used to design generator and also applying materials, in this PMSG have 9 stator
slots with cold rolled steel material, 8 rotor poles with samarium cobalt material and winding
carries copper material, in the postprocessor carries simulation of mesh analysis with size of
2mm; if size reduced below means chances for overlap occurs and 2d transient analysis for
time period of 10secs ,with time step of one
The developed SM-PMSG provide power supply of 63 W,14.83 V at 9500 rpm to GCU,
in this simulation is carried out for single layer winding and double layer winding with all
parameters as same. Figure 3 shows the winding technique carried out for single layer and
double layer winding technique.
In single and double layer winding technique winding has to be make without overlapping
, In order to provide 120 degree for winding [R Y B] , calculation has made by slots/poles
(9/8=1.2) is 1.2 ,it is rounding into 2 .mechanical degree calculation is carried out with this
formula
Electrical degree (θ0) = θ� ×�
�
Where, θ� = Mechanical degree, P = number of poles
Mechanical degree (θ�) = θ0 ×�
�
Where, θ0 = Electrical degree, P = number of poles
(θ�) = 120° ×
�
Q = 30 degree
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The winding technique according to slot pitch for both single layer and double layer is
shown below in the table 2, there will be no overlap in the winding and it helps to produce
more uniform flux distribution. This table shows how the winding is carried out for all three
coils [R Y B], for single layer winding each slot has only one coil but in double layer winding
two coils are wounded by top and bottom.
Windings Total Number of Stator Slots
Slot 1 Slot 2 Slot 3 Slot 4 Slot 5 Slot 6 Slot 7 Slot 8 Slot 9
R R1 R2 R3
Y Y1 Y2 Y3
B B3 B1 B2
(a) Single layer winding methodology
Windings Total Number of Stator Slots
Slot 1 Slot 2 Slot 3 Slot 4 Slot 5 Slot 6 Slot 7 Slot 8 Slot 9
R R1
bottom R6 top R2 top
R3
bottom R4 top
R5
Bottom
Y Y4 top Y5
bottom
Y1
bottom Y6 top Y2 top
Y3
Bottom
B B3
bottom B4 top
B5
bottom
B1
bottom B6 top B2 top
Table 2 winding methodology; (b) Double layer winding methodology
(a) (b)
Figure 3 Three phase winding technique (a) Single layer winding (b) Double layer winding
Maximum flux distribution is shown in the figure 4, it shows that maximum flux produced
by Surface Mounted Permanent Magnet Synchronous Generator at 9500 rpm is 1.79 Wb/m2
for single layer winding SM-PMSG, Maximum flux produced by double layer winding SM-
PMSG at 9500 rpm is 1.84 Wb/m2, both in single layer and double layer maximum flux
produced at edges of the stator teeth. There will be uniform flux distribution occurs and also
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there will be no leakage occurs in the outer periphery, air gap as well as shaft of the SM-
PMSG
(a) (b)
Figure 4 Magnetic flux distribution; (a) Single layer winding (b) double layer winding
The voltage waveform of the unloaded SM-PMSG at 9500 rpm is shown in the figure 5,
from the waveform it is observed that voltage induced is sinusoidal and the maximum voltage
obtained is 2 volts in the single layer winding and 7.2 volts in the double layer winding.
(a) (b)
Figure 5 No load voltage waveform for all 3 phases, (a) Single layer winding, (b) double layer
winding
(a) (b)
Figure 6 No load current waveform for all 3 phases, (a) Single layer winding, (b) double layer
winding
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Comparison of Single Layer and Double Layer Winding In Surface Mounted Pmsg for Aircraft
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During No load condition current waveform is sinusoidal it is shown in the figure 6,from
the waveform observed that maximum current obtained for single layer winding SM-PMSG at
9500 rpm produced 1.2 Amps during no load condition, in double layer winding SM-PMSG
at 9500 rpm produced 3.5 amps
(a) (b)
Figure 7 The flux linkage for all three phases; (a) Single layer winding (b) double layer winding
The flux linkage for all three phases is shown in the figure 7, from the flux linkage
waveform, it is observed that flux distribution occurs sinusoidal uniformly, maximum flux
linkage occurs in the SM-PMSG at 9500 rpm in single layer coil is 0.00025 Wb, in double
layer coil maximum flux linkage occurs is 0.00075 Wb
The output of SM-PMSG is AC but Generator Control Unit (GCU) requires DC input, so
output of SM-PMSG is converted to DC by connecting diode bridge rectifier with 3.2 ohms
resistor, figure 8 shows the diode bridge rectifier circuit for single and double layer winding,
this circuit is available in MagNet software.
(a) (b)
Figure 8 SM-PMSG connected with resistive load (a) single layer winding (b) double layer winding.
The rectified DC output voltage and DC current waveform is shown in the figure 9, from
the waveform observes that single layer SM-PMSG at 9500 rpm produces maximum DC
voltage of 14.189 Volts and maximum of 3.7486 Amps DC current, figure 10 shows the
rectified maximum DC voltage and DC current of double layer winding SM-PMSG at 9500
rpm, from the waveform observes that maximum DC voltage of 14.83 Volts and maximum
DC current of 4.23 Amps
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(a) (b)
Figure 9 single layer winding (a) DC voltage (b) DC current at 9500 rpm
(a) (b)
Figure 10 Double layer winding (a) DC voltage (b) DC current at 9500 rpm
3.2 Thermal analysis SM-PMSG
This section fully deals with the thermal analysis of machine; the designed SM-PMSG in
MagNet software is coupled directly or implemented with the ThermNet software. This
analysis shows the temperature of SM-PMSG generated during different time period and find
out the main sources of heat, figure 11 shows temperature flow of SM-PMSG for both single
layer and double layer winding, from the temperature flow figure observes that single layer
winding design carries maximum temperature of 20.218 degree Celsius occurs at edges of
stator teeth and surface of Permanent Magnet, in double layer winding design carries
maximum heat of 20.217 degree Celsius occurs at conductors ,edges of stator teeth, surface of
Permanent Magnet, conductor carries maximum heat because it carries higher current than
single layer winding, so high temperature occurs at conductor side.
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(a) (b)
Figure 11 (a) Temperature of SM-PMSG at 9500 rpm, (a) Single layer winding (b) Double layer
winding
Parameter Single layer winding SM-PMSG Double layer winding SM-PMSG
DC voltage 14.189 Volts 14.83 Volts
DC current 3.74 Amps 4.23 Amps
Power 53.0668 Watts 62.7 Watts
Losses 22.7 Watts 21.24 Watts
Temperature 20.217 degree celsius 20.213 degree celsius
Efficiency 84.2 % 85.5 %
Table 3 Performance comparison
From the above simulation result for the constrained dimension of SM-PMSG for single
layer winding and double layer winding shows that double layer winding produces 63 Watts
power during simulation and also temperature of machine comes within the 30 degree celsius
limit, double layer winding is suitable to operate at high speed operation with required
dimension
4. CONCLUSION
In this paper 63 W/14.83 V single layer and double layer SM-PMSG is designed for 9500 rpm
for Integrated Generated System provides safe and efficient operation of the Aircrafts,
Electromagnetic analysis of SM-PMSG for electromagnetic flux distribution, voltage and
current using MagNet software, The temperature analysis of SM-PMSG is simulated using
ThermNet software, after that analysis Double layer winding produces 63 W and its thermal
performance also comes within the limit. Finally the overall performance of the PMSG is
better and efficient at high speed operation, this kind of efficient generator is most commonly
used in Aircraft, marine industry and flywheel energy storage applications.
The performance of outer rotor Permanent Magnet Synchronous Generator for aircraft
application will be studied in the future.
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