Optimization of Permanent Magnet Machines using Analytical Sub-Domain Model and Differential Evolution Algorithm

  • Authors

    • M. Rezal
    • Dahaman Ishak
    • Nur Syahirah Abdul Sani
    2018-12-16
    https://doi.org/10.14419/ijet.v7i4.40.24418
  • analytical sub-domain, differential evolution, permanent magnet synchronous machines, back-emf, cogging torque.

  • Abstract

    This paper presents an optimization of permanent magnet synchronous machines (PMSMs) using Analytical Sub-domain Model together with Differential Evolution Algorithm (ASDEA). A three-phase, 6-slot/4-pole, surface-mounted PMSM is selected in the design with initial motor parameters which are determined from the sizing equations. Five motor parameters are to be optimized i.e. magnet thickness, airgap length, slot-opening width, magnet arc, and stator inner radius. Four objective functions are chosen i.e. to have lowest total harmonic distortions in the induced back-emf, lowest cogging torque, highest output torque and highest efficiency. Results show a good agreement between the analytical method and finite element analysis (FEA). The optimization of 6-slot/4-pole PMSM is further analyzed by comparing with other optimization algorithms i.e. Analytical Sub-domain with Genetic Algorithm (ASGA), and Analytical Sub-domain with Particle Swarm Optimization (ASPSO). It is observed that ASPSO has the fastest computing time compared to ASGA and ASDEA. Whereas ASDEA is approximately 50% faster than ASGA. The design work for PMSMs can potentially become faster without compromising the accuracy. While repetitive changes in motor parameters in finite element modeling could be avoided after applying this Analytical Sub-domain with Differential Evolution Algorithm.

     

     

     

  • References

    1. [1] M. Yilmaz and P. T. Krein, “Capabilities of finite element analysis and magnetic equivalent circuits for electrical machine analysis and design,†in PESC - IEEE Power Electronics Specialists Conference,(2008) 4027-4033.

      [2] G. Y. Sizov, D. M. lonel and N. A. 0. Demerdash, “A review of efficient FE modeling techniques with applications to PM AC machines,†in IEEE Power and Energy Society General Meeting, (2011) 1-6.

      [3] T. Lubin, S. Mezani and A. Rezzoug, “2-D exact analytical model for surface-mounted permanent-magnet motors with semi-closed slots,†in IEEE Trans. on Magnetics, Vol. 47, No. 2, (2011) 479-492.

      [4] Goga Cvetkovski, Lidija Petkovska, Paul Lefley, “Optimal design of single phase permanent magnet brushless DC motor using particle swarm optimisation,†in COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 33, No. 6, (2014) 1863–1876.

      [5] Goga Cvetkovski, Lidija Petkovska, “Genetic algorithm as a tool for multi-objective optimization of permanent magnet disc motor,†in Achieves of Electrical Engineering, Vol. 65(2), (2016) 285–294.

      [6] J. Baek, M. M. Rahimian and H. A. Toliyat, “Optimal design of PM assisted synchronous reluctance generators using lumped parameter model and Differential Evolution Strategy, †in IEEE Energy Conversion Congress and Exposition, San Jose, CA, 2009, pp. 2453-2459.

      [7] Z. Q. Zhu, David Howe, C. C. Chan, “Improved analytical model for predicting the magnetic field distribution in brushless permanent-magnet machines,†in IEEE Trans. on Magnetics, Vol. 38, No. 1, (2002) 229-238.

      [8] Damir Zarko, Drago Ban, and Thomas A. Lipo, “Analytical solution for electromagnetic torque in surface permanent-magnet motors using conformal mapping,†in IEEE Trans. Magn., Vol. 45, No. 7, (2009) 2943–2954.

      [9] M. Rezal and D. Ishak, “Rotating analysis of 18-slot/16-pole Permanent Magnet Synchronous Motor for Light Electric Vehicle using FEM,†in PECon - IEEE International Conference on Power and Energy, (2012) 946-949.

      [10] L. J. Wu, Z. Q. Zhu, D. Staton, M. Popescu and D. Hawkins, "An improved subdomain model for predicting magneticf of surface-mounted permanent magnet machines accounting for tooth-tips," in IEEE Transactions on Magnetics, vol. 4 7, no. 6, pp. 1693-1704, June 2011.

      [11] Gilson, S. Tavernier, F. Dubas, D. Depernet and C. Espanet, "2-D analytical subdomain model for high-speed permanent-magnet machines," in 18th International Conference on Electrical Machines and Systems (ICEMS), 2015, Pattaya, 2015, pp. 1508-1514.

      [12] Mohd Saufi Ahmad, Nurul Anwar Abd Manap and Dahaman Ishak, “Permanent magnet brushless machines with minimum difference in slot number and pole number,†in IEEE 2nd International Conference on Power and Energy, (2008), 1064-1069.

      [13] Abazar Shamekhi, “An Improved Differential Evolution Optimization Algorithm,†in International Journal of Research and Reviews in Applied Sciences, vol. 15, issue 2, pp. 132-145, May 2013.

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  • How to Cite

    Rezal, M., Ishak, D., & Syahirah Abdul Sani, N. (2018). Optimization of Permanent Magnet Machines using Analytical Sub-Domain Model and Differential Evolution Algorithm. International Journal of Engineering & Technology, 7(4.40), 127-131. https://doi.org/10.14419/ijet.v7i4.40.24418

    Received date: 2018-12-19

    Accepted date: 2018-12-19

    Published date: 2018-12-16