Research Papers

Mechanical Analysis of Vibrations in a Switched Reluctance Motor Using Experimental, Numerical, and Analytical Methodologies

[+] Author and Article Information
Allen T. Mathis

Department of Mechanical Engineering,
The University of Akron,
Akron, OH 44325–3903

D. Dane Quinn

Department of Mechanical Engineering,
The University of Akron,
Akron, OH 44325–3903
e-mail: quinn@uakron.edu

Mohammed El-Amin, Yilmaz Sozer

Department of Electrical and Computer,
The University of Akron,
Akron, OH 44325–3905

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received July 31, 2018; final manuscript received December 13, 2018; published online February 4, 2019. Assoc. Editor: Julian Rimoli.

J. Vib. Acoust 141(3), 031007 (Feb 04, 2019) (8 pages) Paper No: VIB-18-1317; doi: 10.1115/1.4042394 History: Received July 31, 2018; Revised December 13, 2018

Switched reluctance motors (SRM) are characterized by rotor/stator pole pairs, in which the wound field coils in the stator poles induce magnetic reluctance in the rotor poles to create torque. However, noise development during motor operation is a key issue for this class of motors and much of the work to understand the acoustics and vibrations of these systems is limited to comparing experimental measurements with high-performance, multiphysics simulations. This work focuses on mathematical analysis of these systems through reduced-order modeling using both numerical and analytical methods, and the results are compared against experimental measurements of a typical SRM. To describe the underlying response of the experimental system, a circular shell model is developed for the stator, and electromagnetic finite element analysis is utilized to develop a physically motivated forcing profile for the experimental system. A numerical simulation model is then constructed by applying the calculated electromagnetic forces to the stator, and effective system parameters are determined by calibrating the numerical model to match experimental measurements. An analytical approximation is then derived by leveraging disparate timescales in the problem, and it is shown that the analytical solution accurately recovers the numerical and experimental results while also providing insight into the underlying physics of the experimental system.

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Miller, T. J. E. , 2002, “ Optimal Design of Switched Reluctance Motors,” IEEE Trans. Ind. Electron., 49(1), pp. 15–27. [CrossRef]
Zabinhi, N. , and Gouws, R. , 2016, “ A Review on Switched Reluctance Machines for Electric Vehicles,” 25th International Symposium on Industrial Electronics, Santa Clara, CA, June 8–10, pp. 799–804.
Lawrenson, P. , Stephenson, J. , Blenkinsop, P. , Corda, J. , and Futon, N. , 1980, “ Variable-Speed Switched Reluctance Motors,” IEE Proc. Electr. Power Appl., 127(4), pp. 253–265. [CrossRef]
Nagel, N. J. , and Lorenz, R. D. , 2000, “ Modelng of a Saturated Switched Reluctance Motor Using an Operating Point Analysis and the Unsaturated Torque Equation,” IEEE Trans. Ind. Appl., 36(3), pp. 714–722. [CrossRef]
Farshad, M. , Faiz, J. , and Lucas, C. , 2005, “ Development of Analytical Models of Switched Reluctance Motor in Two-Phase Excitation Mode: Extended Miller Model,” IEEE Trans. Magn., 41(6), pp. 2145–2155. [CrossRef]
Li, J. , Song, X. , and Cho, Y. , 2008, “ Comparison of 12/8 and 6/4 Switched Reluctance Motor: Noise and Vibration Aspects,” IEEE Trans. Magn., 44(11), pp. 4131–4134. [CrossRef]
Faiz, J. , Ganji, B. , Doncker, R. W. D. , and Fiedler, J. O. , 2006, “ Electromagnetic Modeling of Switched Reluctance Motor Using Finite Element Method,” 32nd Annual Conference on IEEE Industrial Electronics, Paris, France, Nov. 6–10, pp. 1557–1562.
Bayless, J. , Kurihara, N. , Sugimoto, H. , and Chiba, A. , 2016, “ Acoustic Noise Reduction of Switched Reluctance Motor With Reduced RMS Current and Enhanced Efficiency,” IEEE Trans. Energy Convers., 31(2), pp. 627–636. [CrossRef]
Ma, C. , Qu, L. , Mitra, R. , Pramod, P. , and Islam, R. , 2016, “ Vibration and Torque Ripple Reduction of Switched Reluctance Motors Through Current Profile Optimization,” IEEE Applied Power Electronics Conference and Exposition (APEC), Long Beach, CA, Mar. 20–24, pp. 3279–3285.
Park, S. , Kim, W. , and Kim, S. , 2014, “ A Numerical Prediction Model for Vibration and Noise of Axial Flux Motors,” IEEE Trans. Ind. Electron., 61(10), pp. 5757–5762. [CrossRef]
dos Santos, F. L. M. , Anthonis, J. , Naclerio, F. , Gyselinck, J. J. C. , and der Auweraer, H. V. , 2014, “ Multiphysics and NVH Modelng: Simulation of a Switched Reluctance Motor for an Electric Vehicle,” IEEE Trans. Ind. Electron., 61(1), pp. 469–476. [CrossRef]
Liang, X. , Li, G. , Ojeda, J. , Gabsi, M. , and Ren, Z. , 2014, “ Comparative Study of Classical and Mutually Coupled Switched Reluctance Motors Using Multiphysics Finite-Element Modelng,” IEEE Trans. Ind. Electron., 61(9), pp. 5066–5074. [CrossRef]
Fiedler, J. O. , Kasper, K. A. , and Doncker, R. W. D. , 2010, “ Calculation of the Acoustic Noise Spectrum of SRM Using Modal Superposition,” IEEE Trans. Ind. Electron., 57(9), pp. 2939–2945. [CrossRef]
Chidamparam, P. , and Leissa, A. W. , 1993, “ Vibrations of Planar Curved Beams, Rings, and Arches,” ASME Appl. Mech. Rev., 46(9), pp. 467–483. [CrossRef]
Zakrzhevskii, A. E. , Tkachenko, V. F. , and Khoroshilov, V. S. , 2010, “ Natural Modes and Frequencies of In-Plane Vibrations of a Fixed Elastic Ring,” Int. Appl. Mech., 46(12), pp. 1420–1427. [CrossRef]
Gundogmus, O. , Elamin, M. , Sozer, Y. , and Chiba, A. , 2018, “ Simultaneous Torque and Radial Force Ripple Control for Reduction of Acoustic Noise in Switched Reluctance Machines,” IEEE Energy Conversion Congress and Exposition, Portland, OR.
Elamin, M. , Yasa, Y. , Gundogmus, O. , Sozer, Y. , Kutz, J. , Tylenda, J. , and Wright, R. L. , 2018, “ Acoustic Noise Mitigation of Switched Reluctance Machines With Windows in Both Stator and Rotor Poles,” IEEE Applied Power Electronics Conference and Exposition (APEC), San Antonio, TX, Sept. 23–27, pp. 1205–1210.
Yasa, Y. , Sozer, Y. , and Garip, M. , 2018, “ High-Speed Switched Reluctance Machine: Natural Frequency Calculation and Acoustic Noise Prediction,” Turk. J. Electr. Eng. Comput. Sci., 26(2), pp. 999–1010. https://www.researchgate.net/publication/324091654_High-speed_switched_reluctance_machine_Natural_frequency_calculation_and_acoustic_noise_prediction


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Fig. 1

Switched reluctance motor schematic (6/4 SRM illustrated)

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Fig. 2

Electromagnetic forces and pole-pair kinematics between rotor pole p and stator pole q

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Fig. 3

Stator deformation

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Fig. 4

Mode shapes: (a) reference, (b) β2 = 2.68, (c) β3 = 7.59, (d) β4 = 14.55, (e) β5 = 23.53, and (f) β6 = 34.52

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Fig. 5

Electromagnetic forcing: (a) individual rotor–stator force profile fq/p and (b) ĝ4(ω)≡F[g4(t)]

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Fig. 6

Experimental system: 12/8 SRM (madison electric products)

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Fig. 8

Cumulative signal energy; Experimental:, Analytical: , Numerical:

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Fig. 9

Effect of motor configuration on cumulative signal energy in mode m =4 (white spaces denote nonphysical configurations)



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