Optimum Design of Stator and Rotor Shape for Cogging Torque Reduction in Interior Permanent Magnet Synchronous Motors

  • Yu, Ju-Seong (Dept. of Electrical Engineering, Chungnam National University) ;
  • Cho, Han-Wook (Dept. of Electric, Electronic & Communication Eng. Edu., Chungnam National University) ;
  • Choi, Jang-Young (Dept. of Electrical Engineering, Chungnam National University) ;
  • Jang, Seok-Myeong (Dept. of Electrical Engineering, Chungnam National University) ;
  • Lee, Sung-Ho (Korea Institute of Industrial Technology (KITECH))
  • Received : 2013.01.29
  • Published : 2013.07.20


This paper deals with the optimum design of the stator and rotor shape of the interior permanent magnet synchronous motors (IPMSM) that are used in applications for automobiles. IPMSMs have the following advantages: high power, high torque, high efficiency, etc. However, cogging torque which causes noise and vibrations is generated at the same time. The optimum design of shape of a IPMSM was carried out with the aim of reducing cogging torque. Six variables which affect to the performance of a IPMSM are chosen. The main effect variables were determined and applied to the response surface methodology (RSM). When compared to the initial model using the finite elements method (FEM), the optimum model highly reduces the cogging torque and improves the total harmonics distortion (THD) of the back-electro motive force (EMF). A prototype of the designed model was manufactured and experimented on to verify the feasibility of the IPMSM.


Supported by : Chungnam National University


  1. T. Ishikawa, M. Yamada, and N. Kurita, "Design of magnet arrangement in interior permanent magnet synchronous motor by response surface methodology," IEEE Trans. Magn., Vol. 47, No. 5, pp. 1290-1293, May 2011.
  2. A. Wang, Y. Jia and W. L. Soong, "Comparison of five topologies for an interior permanent-magnet machine for a hybrid electric vehicle," IEEE Trans. Magn., Vol. 47, No. 10, pp. 3606-3609, Oct. 2011.
  3. R. H. Myers, Response Surface Methodology, New York : Wiley, 1995.
  4. P. Skov-Hansen, Z. Han, and J. I. Bech, "Stresses and strains in multy-filament HTS tapes," IEEE Trans Appl Supercon, Vol. 9, No. 2, pp. 2617-2620, Jun. 1999.
  5. R. Rong, D. A. Lowther, Z. Malik, H. Su, J. Nelder, and R. Spence, "Applying response surface methodology in the design and optimization of electromagnetic devices," IEEE Trans. Magn, Vol. 33, No. 2, pp. 1916-1919, Mar. 1999.
  6. Y. K. Kim, Y. S. Jo, J. P. Hong, and J. Lee, "Approach to the shape optimization of racetrack type high temperature superconducting magnet using response surface methodology," Cryogenics, Vol 41, No. 1, pp. 39-47, Jan. 2001.
  7. J. S. Yu and H. W. Cho, "Optimum design of interior permanent magnet motor for automotive cooling device," Applied Machines and Materials, Vols. 260-261, pp. 581-586, Dec. 2012.

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