Optimal PM arc ratio determination and vector-control of vernier machine with consequent pole rotor

Abstract

The purpose of this paper is to optimize the PM arc ratio of consequent pole permanent magnet vernier machine (CP_PMVM). The operation principle of the CP_PMVM is discussed. An optimization parameter K _𝛼 related to the PM arc ratio is derived. For the CP_PMVM, the amplitudes of the 4th and 14th order harmonics of the air-gap flux density, the amplitude of the back electromotive force (back-EMF) and the average torque all have positive correlations with K _𝛼. The optimal PM arc ratio is 0.64. The three phase inductances are approximately constants, and the d-axis inductance is equal to the q-axis inductance. The PM flux linkages are sinusoidal. The no-load back-EMF waveform of the measured phase is nearly sinusoidal. The gear ratio of the CP_PMVM evaluated from the back-EMF is close to the design value. Furthermore, a controller according to the mathematical model is designed. The CP_PMVM vector control with a sliding-mode (SM) speed controller exhibits a smooth starting, and has an anti-jamming capability.

Keywords

Consequent pole (CP) rotor permanent magnet vernier machines (PMVM)sliding mode (SM)vector control

Get full access to this article

View all access options for this article.

References

J.C.

and Liu

C.H.

, Design of a double-stator magnetless vernier machine for direct-drive robotics, IEEE Transactions on Magnetics 54(11) (2018), 8105805.

Liu

G.H.

Yang

J.Q.

Zhao

W.X.

J.H.

Chen

and Gong

W.S.

, Design and analysis of a new fault-tolerant permanent-magnet vernier machine for electric vehicles, IEEE Transactions on Magnetics 48(11) (2012), 4176–4179.

Chung

S.U.

Kim

J.W.

Woo

B.C.

Hong

D.K.

Lee

S.U.

and Koo

D.H.

, A novel design of modular three-phase permanent magnet vernier machine with consequent pole rotor, IEEE Transactions on Magnetics 47(10) (2011), 4215–4218.

Teymoori

Rahideh

Moayed-Jahromi

and Mardaneh

, 2-D analytical magnetic field prediction for consequent-pole permanent magnet synchronous machines, IEEE Transactions on Magnetics 52(6) (2016), 5202114.

Kwon

J.W.

Jun

C.S.

and Kwon

B.I.

, A dual consequent pole variable flux vernier machine for wide speed range, International Journal of Applied Electromagnetics and Mechanics 59 (2019), 903–912.

Bai

J.B.

Liu

J.Q.

Wang

M.Q.

Zheng

Liu

Gao

H.B.

and Xiao

L.J.

, Investigation of a less rare-earth permanent-magnet machine with the consequent pole rotor, AIP Advances 8 (2018), 056626.

Wang

and Li

, Analytical prediction of optimal split ratio of consequent-pole permanent magnet machines, IET Electric Power Applications 12(3) (2018), 365–372.

Chen

F.X.

R.H.

D.W.

H.X.

Gao

Y.T.

and Xiao

L.F.

, A new predictive direct torque control for vernier permanent magnet synchronous motor based on duty ratio modulation, in: Proceedings of International Conference on Electrical Machines, 2016, pp. 928–934.

Zou

Han

Jiang

and Li

D.W.

, Inductance evaluation and sensorless control of a concentrated winding PM vernier machine, IEEE Transactions on Industry Applications 54(3) (2018), 2175–2184.

10.

and EI-Refaie

A.M.

, Permanent magnet vernier machine: A review, IET Electric Power Applications 13(2) (2018), 127–137.

11.

Yin

Fang

and Pfister

P.D.

, High-torque-density pseudo-direct-drive permanent-magnet machine with less magnet, IET Electric Power Applications 12(1) (2018), 37–44.

12.

Chau

K.T.

Cheng

Kim

and Lorenz

R.D.

, Performance analysis of a flux-concentrating field-modulated permanent-magnet machine for direct-drive applications, IEEE Transactions on Magnetics 51(5) (2015), 8104911.

13.

Zhu

Z.Q.

and Howe

, Instantaneous magnetic field distribution in brushless permanent magnet DC motors, Part III: Effect of stator slotting, IEEE Transactions on Magnetics 29(1) (1993), 143–151.

14.

and Xu

, Analysis of torque capability and quality in vernier permanent magnet machines, IEEE Transactions on Industry Applications 52(1) (2016), 125–135.

15.

Jang

and Chang

, A novel design method for the geometric shapes of flux modulation poles in the surface-mounted permanent magnet vernier machines, Energies 10(10) (2017), 1551.

16.

Chai

Pei

and Chen

, Comparisons of torque performance in surface-mounted pm vernier machines with different stator tooth topologies, IEEE Transactions on Industry Applications 55(4) (2019), 3671–3684.

17.

Liu

Zhao

Zhou

Zhao

and Jiang

, Quantitative comparison of integral and fractional slot permanent magnet vernier motors, IEEE Transactions on Energy Conversion 30(4) (2015), 1483–1495.

18.

Atiq

Lipo

T.A.

and Kwon

B.-I.

, Wide speed range operation of non-salient PM machines, IEEE Transactions on Energy Conversion 31(3) (2016), 1179–1191.

19.

Chau

K.T.

and Wang

, Modeling of a field-modulated permanent-magnet machine, Energies 9(12) (2016), 1078.

20.

Fan

Zhang

Q.S.

Wang

W.S.

and Zhou

X.F.

, Speed regulation system of a flux-modulated permanent-magnet in-wheel motor based on sliding mode control and adaptive notch filter, IEEE Transactions on Energy Conversion 33(4) (2018), 2183–2190.

21.

Jung

and Nam

, A dynamic decoupling control scheme for high-speed operation of induction motors, IEEE Transactions on Industrial Electronics 46(1) (1999), 100–110.