Analytical Modelling of Radial Coupled Vibration and Superharmonic Resonance in Switched Reluctance Motor
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ORIGINAL PAPER
Analytical Modelling of Radial Coupled Vibration and Superharmonic Resonance in Switched Reluctance Motor Feng Wang1,2,3 · Zhiqiang Wu3 · Xiaopeng Li1,2 Received: 27 April 2020 / Revised: 27 July 2020 / Accepted: 17 August 2020 © Krishtel eMaging Solutions Private Limited 2020
Abstract Background Switched reluctance motor (SRM) generates considerable radial magnetic force during its running, which is much larger than the tangential magnetic force. The radial magnetic force interacts with the vibration displacement of the stator/rotor such that the coupled vibration causes a widespread concern in the industry. Purpose By building the stator/rotor coupled vibration model of SRM under the action of complex radial magnetic forces, the coupled vibration response of the motor could be quickly and effectively calculated. Furthermore, it has become a reality to summarize the response law of stator/rotor coupled vibration and superharmonic resonance. Methods An analytical model of the stator/rotor coupled vibration in a 12/8-pole SRM excited by complex radial magnetic force is built with a finite element method (FEM). Each radial magnetic force applied onto the stator teeth and the magnetic resultants of the rotor are strictly derived via intermediate variables that vary with the rotational angle. The stator/rotor vibration response at the rated speed is numerically simulated, and its main characteristics both in time and frequency domain are also discussed in detail. Results and Conclusions The vibration of the stator exhibits dominant square deformation due to four orthogonal teeth being excited simultaneously. The eccentric rotor causes the radial magnetic force of a single stator tooth to fluctuate so that the vibration of the stator is transferred from square deformation to the coexistence of oval and square deformation. In addition, by solving the coupled vibration at different speeds cyclically, the corresponding speed when the stator or rotor has a superharmonic resonance could be found, which is more effective than existing commercial software. Using only the basic technical parameters of SRM, this proposed analytical model can be used to quickly evaluate the radial coupled vibration of the stator/rotor. Most importantly, the model can conveniently study the effects of other operating parameters on coupled vibrations and guide the selection of appropriate parameters. Keywords Switched reluctance motor · Radial coupled vibration · Magnetic force · Finite element method
Introduction Switched reluctance motor (SRM) is an integrated drive system composed of SRM main body and electronic switch controller, also known as SRM speed control system. SRM * Feng Wang [email protected] 1
School of Automobile and Transportation, Tianjin University of Technology and Education, Tianjin, China
2
Tianjin Engineering and Technology Centre for New Energy Powered Vehicles, Tianjin University of Technology and Education, Tianjin, China
3
Department of Mechanics, School of Mechanical Engineering, Tia
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