Analytical Modelling of Radial Coupled Vibration and Superharmonic Resonance in Switched Reluctance Motor

• DOI: 10.1007/s42417-020-00238-x
• Publication Date: 2020-08-29T12:02:38Z
• Authors: Feng Wang; Zhiqiang Wu; Xiaopeng Li
• Keywords: 0103 physical sciences; 0202 electrical engineering, electronic engineering, information engineering; 02 engineering and technology; 01 natural sciences; 7. Clean energy

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. 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. 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. 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.