 Open Access
 Total Downloads : 2036
 Authors : Mr. Sumit Mandal
 Paper ID : IJERTV4IS020488
 Volume & Issue : Volume 04, Issue 02 (February 2015)
 Published (First Online): 24022015
 ISSN (Online) : 22780181
 Publisher Name : IJERT
 License: This work is licensed under a Creative Commons Attribution 4.0 International License
Performance Analysis of SixPhase Induction Motor
Mr. Sumit Mandal1
Electrical Engineering Department JIS college of Engineering Kalyani, India
Abstract This paper presents a mathematical dq model of sixphase, two pole induction motor in rotating reference frame. The model is simulated in Simulink environment to evaluate its performance under load and noload conditions. The results show reliable and good performance of the motor.
KeywordsD q model, sixphase induction motor.

INTRODUCTION
Asynchronous, induction motor is one of the very important and widely used ac motors. Single phase and three phase both induction motors are popular and widely used because of its simplicity, robustness, good performance. But multiphase (more than three) induction motors are becoming popular and have been being studied from many years because of its several advantages over conventional threephase induction motors or induction motors having lesser phases. The advantages are better fault tolerance[1][2][3][4], higher efficiency, lower current ripple, less torque pulsation, reliability[5] and facility to split certain amount of power in to multiple phases to reduce the power perphase. This power splitting enables to use devices of less rating in case of high power applications[6]. Multiphase motors are used in case of ship propulsion, traction, electric vehicles etc. where high power and reliability is required.
Simulation of symmetrical induction machinery was done in [7]. Multiphase machines use in electric vehicles was studied in [8]. R. Gregor, F. Barrero, S. Toral and M.J. DurÃ¡n studied induction motor drive testrig to obtain superior performance[9]. Anushree Kadaba, Shaohua Suo, Gennadiy. Sizov, ChiaChou Yeh, Ahmed SayedAhmed, Nabeel A.O. Demerdash designed reversible threephase to sixphase induction motor[10]. A spectral method of speed ripple analysis for a faulttolerant sixphase squirrelcage induction machine was presented in [11]. Matrix converter has been used to drive sixphase induction motor in [12]. Transient analysis of threephase induction machine using different reference frames has been done in [13]. Rangarajan M. Tallam, Thomas G. Habetler and Ronald G. Harley studied transient model of induction motor with winding faults[14].
[15] presents experimental investigation of a naval propulsion drive model with the PWMbased attenuation of the acoustic and electromagnetic noise. G.Renukadevi, K.Rajambal developed a generalized model of multiphase induction motorlaws allowing an explicit control of system stability in closed loop operation of fivephase induction motor drives. Using fluxlinkage model, stability analysis of five phase induction motor has been done in [20]. Y. Maouche, A. Boussaid, M. Boucherma, A. Khezzar studied pulsating torque and harmonic components in rotor current of sixphase induction motor under healthy and faulty conditions.
In this paper a dynamic model of asymmetrical sixphase, cage type induction motor is developed to study the performance of the motor in detail. The model is simulated in MATLAB/Simulink environment. The study gives a detailed idea about the motor and indicates towards the smooth and promising performance of the motor.

MATHEMATICAL MODEL OF THE MOTOR
A simplified and equivalent diagram of a six phase induction motor is shown in fig.1. To develop this model some assumptions are made and those are as follows: The air gap is uniform and the windings are sinusoidally distributed around the air gap. There is no core loss and magnetic saturation in the core. There is no friction and windage loss in the system.
Fig.1. Simplified Diagram of Six Phase Induction Motor
The voltage equations of the motor are mentioned
below:
with symmetrical winding displacement[16]. Use of multiphase machines is proposed in [17]. Control of five
Vqs1
= rsiqs1
+ qs1
+ ds1
(1)
phase induction motor using space vector modulation, is discussed in [18]. [19] This paper deals with the high performance Backstepping control strategy which is based on
Vds1 = rsids1 + ds1 – qs1 (2)
Vqs2 = rsiqs2 + qs2 + ds2 (3)
Vds2 = rsids2 + ds2 – qs2 (4)
Vqr = rr iqr + qr + (r) dr (5)
Vdr = rr idr + dr – (r) qr (6)
(7)
(8)
(9)
idr)(10) (11)
The flux linkage equations are as follows:
qs1 = Llsiqs1 + Llm (iqs1 + iqs2) + Lm (iqs1 + iqs2+ iqr) ds1 = Llsids1 + Llm (ids1 + ids2) + Lm (ids1 + ids2+ idr) qs2 = Llsiqs2 + Llm (iqs1 + iqs2) + Lm (iqs1 + iqs2+ iqr) ds2 = Llsids2 + Llm (ids1 + ids2) + Lm (ids1 + ids2+ qr = Llriqr + Lm (iqs1 + iqs2+ iqr)
= L i + L (i + i + i )
Fig.3. dAxis Dynamic Equivalent Circuit Per Phase

SIMULATION OF THE MODEL
Six phase stationary axis voltages are transformed in to dq synchronous axis voltages and dq axis currents are transformed in to stationary axis voltages. The transformation
(12)
dr lr dr
m ds1
ds2 dr
equations are as follows:
The electromagnetic torque can be calculated from the equation below:
Te = (P/2)(Lm/Lr)[ dr(iqs1 + iqs2) – qr(ids1 + ids2)]
(13)
The rotor speed equation is,
r = (1/Jr) (TeTL) dt (14)
The position of dq axis with respect to – axis can be measured in terms of and it can be calculated by integrating with respect to time.
= dt (15)
ABC and XYZ to (stationary axis) conversion;
Vs1 1 1/2 1/2 Van
= 2/3 Vbn
Vs1 0 3/2 3/2 Vcn
Vs2
3/2
3/2
0
Vxn
= 2/3
Vyn
Vs2
1/2
1/2
1
Vzn
Now, to dq conversion; V =V .Cos + V Sin
qs1
s1
s1
Fig.2. qAxis Dynamic Equivalent Circuit Per Phase
Table1.
Vds1=Vs1.Cos – Vs1 Sin Vqs2=Vs2.Cos + Vs2 Sin Vds2=Vs2.Cos – Vs2 Sin
dq to conversion;
is1 = iqs1.Cos – ids1 Sin is1 = ids1.Cos + iqs1 Sin is2 = iqs2.Cos – ids2 Sin is2 = ids2.Cos + iqs2 Sin
to ABC and XYZ conversion;
ia 1 0 is1 ib = 2/3 1/2 3/2
ic 1/2 3/2 is1
ix 3/2 1/2 is2 iy = 2/3 3/2 1/2
iz 0 1 is2
Motor Parameters
Lls (H)
Llm (H)
Lm (H)
Llr (H)
Rs ()
Rr ()
Van (V)
(rad/sec)
Jr (Kg.m2)
P
Rated Power (KW)
0.0132
0.011
1
0.0132
1.9
2.1
230
314
0.02
2
3
Fig.4. Simulink Model Of The Motor

SIMULATION RESULTS
Fig.5. Electromagnetic Torque
Transient period lasts up to 0.305 sec. Motor gains steady state at 0.64 sec. During transient period high torque and speed oscillations are noticed. Steady state noload torque is zero Nm. Constant rated load of 10 Nm is applied to the motor at 3 sec. steady state electromagnetic torque at load condition is 10Nm.
Fig.6. Rotor speed
No load speed is 314.15 rad/sec. Rotor speed at load condition is 299.46 rad/sec.
Fig.7. Phase curren
Input phase current at noload and rated load are 0.5 A and
3.5 A respectively
Fig.8. Input Power
At noload motor consumes 1.475 watt real power as loss. At rated load input electrical power is 3211 watt. At noload input reactive power is 496 VAR. At rated load input reactive power is 1148 VAR
Fig.9. Output mechanical power
At no load and rated load mechanical output of motor are 0 watt and 3000 watt respectively. During transient period high oscillations are observed in output power. At rated load motors efficiency is 93.4%.
Fig.10. Harmonic analysis of phase current
0.00% THD observed in harmonic analysis of phase current

CONCLUSION
The result indicates towards high performance, good efficiency, less current per phase. Torque generation is smooth. Torque and speed ripples are negligible at steady state. As phase currents are not high and efficiency is good, it is suitable for high power applications. With respect to three phase motor devices of less rating can be used per phase for certain amount of power
The result indicates towards high performance, good efficiency, less current per phase. Torque generation is smooth. Torque and speed ripples are negligible at steady state. As phase currents are not high and efficiency is good, it
is suitable for high power applications. With respect to three phase motor devices of less rating can be used per phase for certain amount of power.

APPENDIX
Vqs1, Vqs2 = q axis stator voltages
Vds1, Vds2 = d axis stator voltages
Vqr, Vdr = dq axis rotor voltages Va, Vb, Vc, Vx, Vy, Vz = Sixphase input voltages ia, ib, ic, ix, iy, iz = Sixphase input currents Lls = Stator leakage inductance
Llm = Stator mutual leakage inductance
Lm = Air gap inductance
Llr = Rotor leakage inductance
Lr = Rotor selfinductance
qs1, qs2 = q axis stator flux linkages
ds1, ds2 = d axis stator flux linkages
qr, dr = dq axis rotor flux linkages
iqs1, iqs2 = q axis stator currents
ids1, ids2 = d axis stator currents
iqr, idr = dq axis rotor currents
, r = speed of reference frame and rotor speed respectively
Te = Electromagnetic torque
TL = Load torque
P = Number of poles
= d/dt
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