Multi-Objective Optimal Design of Surface-Mounted Permanent Magnet Motor Using NSGA-II
Keywords:
Analytical model, finite elements, NSGA-II, optimal design, permanent magnet synchronous motorAbstract
This paper presents a highly structured procedure for multi-objective optimal design of radial surface Permanent-Magnet Synchronous Motor (PMSM). Firstly, a detailed analytical model based on the resolution of Maxwell’s equations using the separation of variables method is presented. From the same model, analytical expressions of four constraint functions dedicated for the optimal design of the PMSM are developed. These constraints are: electromagnetic torque, back electromotive force (back-EMF), flux density saturation in stator/rotor yoke and saturation in stator tooth. Then, the Non-dominated Sorting Genetic Algorithm-II (NSGA-II) is employed to optimize the multi-objective problem formed by two objective functions (weight and power loss of the motor) and different constraints. Finally, the finite element method is used to validate the designed 30 kW PMSM.
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A. Cavagnino, M. Lazzari, F. Profumo, and A. Tenconi, “A comparison between the axial flux and the radial flux structures for PM motors,” IEEE Trans. Ind. Applicat., vol. 38, pp. 1517-1524, Nov. 2002.
S. Sonoda, Y. Takahashi, K. Kawagishi, N. Nishida, and S. Wakao, “Application of stepwise multiple regression to design optimization of electric machine,” IEEE Trans. Magn., vol. 43, pp. 1609-1612, Apr. 2007.
G. R. Slemon and X. Liu, “Modeling and design optimization of permanent magnet motors,” Electric Machines & Power systems, vol. 20, pp. 71-92, 1992.
B. Nogarede, A. D. Kone, and M. Lajoie, “Modeling and simulation of inverter fed slotless permanent magnet machines,” in IMACS’91-13th World Congress on Computation and Applied Mathematics, vol. 4, pp. 1529-1531, Jul. 1991.
Z. Q. Zhu, D. Howe, E. Bolte, and B. Ackermann, “Instantaneous magnetic field distribution in brushless permanent magnet dc motors, part I: open-circuit field,” IEEE Trans. Magn., vol. 29, pp. 124-135, Jan. 1993.
A. Chebak, P. Viarouge, and J. Cos, “Analytical model for design of high-speed slotless brushless machines with SMC stators,” IEEE Electric Machines & Drives Conference IEMDC '07, vol. 1, pp. 159-164, May 2007.
S. Mendaci, M. R. Mekideche, and H. Allag, “Instantaneous analytical model of radial surface permanent magnet synchronous motor dedicated to optimal design,” IREMOS, vol. 4, pp. 1542-1549, Aug. 2011.
Z. Q. Zhu and D. Howe, “Instantaneous magnetic field distribution in brushless permanent magnet dc motors, part III: effect of stator slotting,” IEEE Trans. Magn., vol. 29, pp. 143-151, Jan. 1993.
K. Deb, Multi-Objective Optimization Using Evolutionary Algorithm, Wiley, Chichester, 2001.
K. Deb, A. Pratap, S. Agarwal, and T. Meyarivan, “A fast and elitist multiobjective genetic algorithm: NSGA-II,” IEEE Trans. On Evolutionary Computation, vol. 6, pp. 182-197, Apr. 2002.
M. T. Jensen, “Reducing the run-time complexity of multiobjective EAs: the NSGA-II and other algorithms,” IEEE Trans. On Evolutionary Computation, vol. 7, pp. 503-515, Oct. 2003.
B. Sareni, J. Regnier, and X. Roboam, “A recombination and self-adaptation in multiobjective genetic algorithms,” Lectures Notes in Computer Science, vol. 2936, pp. 115-127, 2004.
