Shape Optimization of a Switched Reluctance Motor Having 6/4 Pole Structure for the Reduction of Torque Ripple Using Response Surface Methodology

반응표면법을 이용한 6/4극 구조를 갖는 스위치드 릴럭턴스 모터의 토크 리플 저감을 위한 형상 최적설계

  • Published : 2006.12.01


Recently, a switched reluctance motor is widely used in various industries because it has many advantages such as a simple structure, robustness, less maintenance, high torque/weight ratio, and easy speed control over other types of motors. However, a switched reluctance motor inherently produces acoustic noise and vibration caused by torque ripple. Applications of these motors where silent operation is desirable have thus been limited. In this paper, a new stator pole face having a non-uniform air-gap and a pole shoe attached to the lateral face of the rotor pole are suggested in order to minimize torque ripple. The effects of each design parameter are validated using a time-stepping finite element method. The parameters are optimized by utilizing response surface method (RSM) combined with (1+1) evolution strategy. The result shows that the optimized shape gives higher average torque and drastically reduced torque ripple.


  1. T. J. Miller, 'Switched Reluctance Motors and Their Control', Oxford, U.K.: Magna/Clarendon, 1993
  2. 안진우, '스위치드 릴럭턴스 전동기', 오성미디어, 2001
  3. N. K. Sheth, and K. R. Rajagopal, 'Optimum pole arcs for a switched reluctance motor for higher torque with reduced ripple', IEEE Trans. on Magnetics, vol.39, No.5, pp.3214-3216, September 2003
  4. J. W. Lee, H. S. Kim, B. I. Kwon, and B. T. Kim, 'New rotor shape design for minimum torque ripple of SRM using FEM', IEEE Trans. on Magnetics, vol.40, No.2, pp.754-757, March 2004
  5. J. Hur, G. H. Kang, J. Y. Lee, and J. P. Hong, 'Design and optimization of high torque, low ripple switched reluctance motor with flux barrier for direct driving', 39-th IAS Annual Meeting, pp.401-408, 2004
  6. Y. Ohdachi, Y. Kawase, Y. Miura and Y. Hayashi, 'Optimum design of switched reluctance motors using dynamic finite element analysis', IEEE Trans. on Magnetics, vol.41, No.2, pp.2033-2036, March 1997
  7. J. W. Ahn, S. G. Oh, J. W. Moon, Y. M. Hwang, 'A Three-Phase Switched Reluctance Motor with Two-phase Excitation', IEEE Trans. on Industry Applications, vol. 35, No.5, pp.1067-1075, September/October, 1999
  8. Shmuel Rippa, 'An algorithm for selecting a good value for the parameter c in radial basis function interpolation', Advances in Computational Mathematics, pp.193-210, 1999
  9. D. Tsao, and J. P. Webb, 'Construction of device performance models using adaptive interpolation and sensitivities', IEEE Trans. on Magnetics, vol. 41, No.5, pp.1768-1771, May 2005
  10. R. L. Hardy, Multiquadric equations of topography and other irregular surfaces, J. Geophys. Res. 76(1971) 1905-1915
  11. R. Franke, Scattered data interpolation: tests of some methods, Math. Comp. 38 (1982) 181-200
  12. R. E. Carlson and T. A. Foley, The parameter $R^{2}$ in multiquadric interpolation, Comput, Math. Appl. 21 (1991) 29-42
  13. 박성현, '현대실험계획법', 민영사, 2001
  14. K.Preis, C.Magele and O.Biro: 'FEM and Evolution Strategies in the Optimal Design of Electromagnetic Devices', IEEE Trans. Magn., vol. 26, No.5, pp.2181-2183 (1990)
  15. 고창섭, 김준오, 한송엽, 정현교, 이기식, '경계요소법을 이용한 보이스코일 모타의 형상 최적 설계', 대한전기학회 논문지, vol.44, No.3, pp. 274-278, March, 1995