Analytical representation and characteristics optimization for radial electromagnetic force of the switched reluctance motor under airgap eccentricity

Abstract

Aiming at the influence of radial electromagnetic force on vibration and noise of the switched reluctance motor (SRM), the radial electromagnetic force under airgap eccentricity is represented based on the virtual displacement principle and Maxwell stress tensor. Multi-objective optimization of motor electromagnetic characteristics including magnetostatic torque, radial electromagnetic force fluctuation, and unbalanced radial force amplitude is completed. First, the analytical representation for the radial electromagnetic force is obtained by the virtual displacement principle, and the expression of the unbalanced radial force caused by airgap eccentricity is deduced. Then, the spatial distribution of the radial electromagnetic force is modeled by the Maxwell stress tensor, which makes the radial electromagnetic force characterization more comprehensive. In order to improve the electromagnetic characteristics of the SRM under airgap eccentricity, sensitivity analysis and multi-objective optimization are carried out to obtain the optimal solution set of the motor structure parameters. The simulation results show that the radial electromagnetic force fluctuation and the unbalanced radial force amplitude decreases by 64.09% and 23.05%, respectively, when the magnetostatic torque is sacrificed by 6.36%, which provides a framework for multi-objective optimization of motor structure parameters.

Keywords

Switched reluctance motor radial electromagnetic force airgap eccentricity sensitivity analysis multi-objective optimization

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References

Wang

Ren

. Electric vehicles with in-wheel switched reluctance motors: coupling effects between road excitation and the unbalanced radial force. J Sound Vibration 2016; 372: 69–81.

Yang

Wang

. Suppression of switched reluctance motor vibration of in-wheel motor electric vehicle. J Control Sci Eng 2018; 2018: 1–13.

Torkaman

Afjei

. Comprehensive Magnetic Field-Based Study on Effects of Static Rotor Eccentricity in Switched Reluctance Motor Parameters Utilizing Three-Dimensional Finite Element. Electromagnetics 2009; 29: 421–433.

Sun

Chen

. Effect of motor rotor eccentricity on aerostatic spindle vibration in machining processes. Proc Inst Mech Eng C: J Mech Eng Sci 2018; 232: 1331–1342.

Ito

Takeuchi

Kotsugai

. A Study on Asymmetry of Electromagnetic Force Modes of Permanent Magnet Synchronous Motors With Rotor Eccentricity. IEEE Trans Magn 2021; 57: 1–6.

Tan

. The influence of the magnetic force generated by the in-wheel motor on the vertical and lateral coupling dynamics of electric vehicles. IEEE Trans Veh Technol 2016; 65: 4655–4668.

Ahmed

Kalita

Nemade

. Torque and controllable radial force production in a single winding bearingless switched reluctance motor with a speed controlled drive operation. Int T Electr Energ 2020; 30.

Zheng

. Coupling effects in hub motor and optimization for active suspension system to improve the vehicle and the motor performance. J Sound Vibration 2020; 482: 115426.

Qin

Shao

Vibration mitigation for in-wheel switched reluctance motor driven electric vehicle with dynamic vibration absorbing structures. J Sound Vibration 2018; 419: 249–267.

10.

Deng

Liu

. Modeling and suppression of unbalanced radial force for in-wheel motor driving system. J Vib Control 2021: 1802379084.

11.

Sarlioglu

. Rotor Unbalanced Magnetic Force in Flux-switching Permanent Magnet Machines Due to Static and Dynamic Eccentricity. Electric Power Components Syst 2016; 44: 336–342.

12.

Zuo

Liu

. Influence of rotor eccentricity on radial electromagnetic force characteristics in switched reluctance motors and compensation. Electric Power Components Syst 2020; 48: 388–398.

13.

Zuo

Liu

, et al. Modeling and analysis of radial electromagnetic force and vibroacoustic behaviour in switched reluctance motors. Mech Syst Signal Process 2020; 142: 106778.

14.

Castano

Bilgin

Lin

, et al. Radial forces and vibration analysis in an external‐rotor switched reluctance machine. IET Electric Power Appl 2017; 11: 252–259.

15.

Ishikawa

Hashimoto

Kurita

. Optimum design of a switched reluctance motor fed by asymmetric bridge converter using experimental design method. IEEE Trans Magn 2014; 50: 781–784.

16.

Xiong

. Study on optimization technology of instantaneous torque control strategy for switched reluctance motor. Chem Engineering Transactions 2018; 66.

17.

. Multiobjective optimization of switched reluctance motors based on design of experiments and particle swarm optimization. IEEE Trans Energ Convers 2015; 30: 1144–1153.

18.

Yueying

Chuantian

Yuan

. Design and optimisation of an In‐wheel switched reluctance motor for electric vehicles. IET Intell Transport Syst 2019; 13: 175–182.

19.

Oksuztepe

. In-wheel switched reluctance motor design for electric vehicles by using a pareto-based multiobjective differential evolution algorithm. IEEE Trans Veh Technol 2017; 66: 4706–4715.

20.

Fahimi

Suresh

Mahdavi

, et al. A New Approach to Model Switched Reluctance Motor Drive Application to Dynamic Performance Prediction, Control and Design. Piscataway, NJ: IEEE;1998, pp.2097–2102.

21.

Wang

. Analytical modelling of radial coupled vibration and superharmonic resonance in switched reluctance motor. J Vib Eng Technol 2021; 9: 449–467.

22.

Wang

, et al. Transverse nonlinear vibration of the eccentric rotor in a 12/8 switched reluctance motor. Ec 2020; 37: 2711–2733.

23.

Xue

Cheng

KWE

, et al. Multi-objective optimization design of in-wheel switched reluctance motors in electric vehicles. IEEE Trans Ind Electron. 2010; 57: 2980–2987.

24.

Khalil

Husain

. A fourier series generalized geometry-based analytical model of switched reluctance machines. IEEE Trans Ind Applicat 2007; 43: 673–684.

25.

Pechlivanidou

Chasiotis

Karnavas

. A comparative study on 2D and 3D magnetic field analysis of permanent magnet synchronous motor using FEM simulations. J Electromagn Waves Appl 2019; 33: 2215–2241.