Structural optimisation of an induction motor using a genetic algorithm and a finite element method

Acta Polytechnica Scandinavica, Electrical Engineering

Volumn 84, Issue , 1996, Pages

  Palko, Sakari ^a  

^a AALTO UNIVERSITY   (Finland)

Author keywords

Electromagnetic losses; Finite element method; Genetic algorithm; Induction motor; Non linear optimisation; Numerical simulation; Slot shape; Structural optimisation; Torque

Indexed keywords

COMPUTER SIMULATION; ELECTRIC LOSSES; FINITE ELEMENT METHOD; GENETIC ALGORITHMS; MAGNETIC CIRCUITS; MATHEMATICAL MODELS; OPTIMIZATION; ROTORS; TORQUE;

ELECTROMAGNETIC LOSSES; NEAR AIR GAP REGION; NONLINEAR OPTIMIZATION; SLOT DIMENSIONS; STRUCTURAL OPTIMIZATION;

INDUCTION MOTORS;

EID: 0030391547     PISSN: 00016845     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (68)

1. Arfken, G. 1985. Mathematical Methods for Physicists, Academic Press Inc. 985 p.
2. Arkkio, A. 1987. Magnetic Field Analysis of Induction Motors based on the Numerical Solution of the Coupled Field and Circuit Equations. Acta Polytechnica Scandinavica. El. Eng. No. 59. 97 p.
3. Arkkio, A. 1991a. Analysis of a 37 kW Cage Induction Motor. Helsinki Univ. of Technology, Lab. of Electromechanics, Report 30. 64 p.
4. Arkkio, A. 1991b. FCSMEK, PART B, Users Guide, Programmes for analysing cage induction motors, Release 2, Helsinki Univ. of Tech., Laboratory of Electromechanics, Finland. 135 p.
5. Arkkio, A. 1995. Unbalanced magnetic pull in a four pole induction motor with an odd number of rotor slots. Proceedings of CICEM'95. 31 Aug. - 2 Sept. 1995, Hangzhou, China, pp. 343-348.
6. Bendsøe, M. P., Kikuchi, N. 1988. Generating optimal topologies in structural design using homogenisation method. Comp. Methods in Applied Mech. Engineering. No. 171. pp. 197-224.
7. Braibant, V. 1986. Shape Optimal Design Using B-splines. Journal of Structural Mechanics, Vol. 14. pp. 209-228.
8. Braibant, V., Morelle, P. 1990. Shape optimisation and free mesh generation. Structural Optimisation, Vol. 2, Is. 4. pp. 223-231.
9. Brandisky, K., Belmans, R., Pahner, U. 1994. Optimal design of a segmental PM DC motor using statistical experiment design method in combination with numerical field calculations. ICEM'94 Proceedings. Paris, France. Vol. 3. pp. 210-215.
10. Box, G. E. P., Behnken, D. W. 1960, Some New Three Level Design for Study of Quantitative Variables. Technometrics, Vol. 2, No. 4. pp. 455-475.
11. Box, G. E. P., Draper, N. R. 1987. Empirical Model-Building and Response Surfaces. John Wiley & Sons.
12. Bäck, T., Rudolph, G., Schwefel, H.-P. 1993. Evolutionary Programming and Evolution Strategies: Similarities and Differences. Proc. of Second Ann. Conf. on Evolutionary Programming. Editors D. B. Fogel and W. Atmar. La Jolla, CA: Evolutionary Programming Society, pp. 11-22.
13. Cendes, Z. J., Shenton D. N. 1985. Adaptive Mesh Refinement in the Finite Element Computation of Magnetic Fields. IEEE Trans. on Magn., Vol. MAG-21, No. 5, Sept. 1985. pp. 1181-1186.
14. Cheng, Y. B., Sykulski, J. K. 1994. CAD and optimisation of electromagnetic actuators. ICEM'94 Proceedings. Paris, France. Vol. 3. pp. 187-192.
15. Chu, E., George, A., Liu, J., Ng, E. 1984. SPARSPAK: Waterloo sparse matrix package, User's guide for SPARSPAK-A. Univ. of Waterloo, Ontario, Canada, Research Report CS-84-36. 63 p.
16. Davis, L. 1991. Handbook of Genetic Algorithms. New York: Van Nostrand Reinhold.
17. Ding, H., El-Keib, A. A., Smith R. E. 1994. Optimal clustering of power networks using genetic algorithms. Electric Power Systems Research, Vol. 30. No 3. pp. 209-214.
18. Dixon, L. C. W., Szegö, G. P. 1978. The Global Optimisation Problem, in Towards Global Optimisation 2, Dixon, Szegö (Editors), North Holland Publishing, Amsterdam.
19. Dwyer, W. J., Emerton, R. K., Ojalvo, I. U. 1971. An automated procedure for the optimization of practical aerospace structures. Edition 1. Wright-Patterson air force base (OH).
20. Fandel, H. 1976. Optimale Entscheidung bei mehrfacher Zielsetzung, Lecture Notes in Economies and Mathematics. Springer Verlag. 221 p.
21. Fraser, A. S. 1957. Simulation of Genetic Systems by Automated Digital Computers. I. Introduction. Australian J. of Biol. Sci., Vol. 13. pp. 150-162.
22. Fogel, D. B. 1994. Evolutionary Computation, Toward a New Philosophy of Machine Intelligence. IEEE Press, New York.
23. Girdinio, P., Molfino, P., Molinari, G., Puglisi, L., Viviani, A. 1978. Finite Difference and Finite Element Grid Optimisation by Grid Iteration Method. IEEE Trans, on Magn. MAG-19, No. 6. pp. 2543-2546.
24. Haataja, J. 1994. Solving Optimisation Problems. CSC - Center for Scientific Computing Ltd, Yliopistopaino. ISBN 952-9821-02-6. Ed 1. 232 p. (In Finnish)
25. Holland, J. H. 1975. Adaptation in Natural and Artificial Systems. Ann Arbor: University of Michigan Press.
26. IEC 34-1. 1994. Rotating Electrical machines - Part 1: Rating and performance. 129 p.
27. de Jong, K. A. 1993, Genetic Algorithms are NOT function optimizers. Foundation of Genetic Algorithms 2. Amsterdam: North-Holland, pp. 3-13.
28. Keskinen, E. 1992. Application of Vector Potentials in the Finite Element Solution of Three-Dimensional Eddy Current Problems. Acta Polytechnica Scandinavica, El. Eng. No. 71. 99 p.
29. Kibsgaard, S. 1991. Analysis and Optimization of FE-discretized Structures. PhD thesis, Special Report No. 6, Institute of Mech. Engineering, Aalborg Univ., Denmark.
30. Kopylov, I. P., Gorjainov, F. A., Klokov, B. K. 1980. Designing of electrical motors. Moscow, Energy. 496 p. (In Russian)
31. Laithwaite, E. R. 1973. Induction Machines for Special Purposes. London, George Newnes Ltd.
32. Lindholm, D. 1983. Automatic Triangular Mesh Generation on Surfaces of Polyhedra. IEEE Transactions on Magn., Vol. MAG-19, No. 6. pp. 2539-2542.
33. Lund, E. 1994. Finite Element Based Design Sensitivity Analysis and Optimisation. Institute of Mechanical Engineering, Aalborg University, Special Report No. 23. 240 p.
34. Luomi, J., Rouhiainen, H. 1988. Adaptive mesh refinement for magnetic field problems involving saturate ferromagnetic parts. IEEE Trans, on Magn., Vol.-24, No 1, Jan. 1988. pp. 311-314.
35. Michalewicz, Z. 1992. Genetic Algorithms + Data Structures = Evolution Programmes. Springer Verlag. 251 p.
36. Mohammed, A. 1990. Optimal Design of Magnetic Circuits by Finite Elements and Dynamic Search Procedure. COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 9, Supplement A. pp. 106-110.
37. Neittaanmäki, P., Rudnicki, M., Savini, A. 1994. Inverse Problems and Optimal Design in Electricity and Magnetism. Oxford University Press.
38. Nikolova-Yatcheva, I. I. 1989. Synthesis of fields in electrical devices. Doctoral Thesis, Sofia, Bulgaria. 34 p. (In Bulgarian)
39. Olhoff, N., Lund, E., Rasmussen, J. 1992. Concurrent Engineering Design Optimisation In a CAD Environment. Special Report No. 16, Inst. of Mech. Engineering. Aalborg Univ. Denmark. 64 p.
40. Palko, S. 1994. Structural optimisation of Cage Induction Motors Using Finite Element Analysis. Licentiate Thesis, Helsinki Univ. of Technology, Lab. of Electromechanics, Report 45, 61 p.
41. Palosaari, S., Parviainen, S., Hiironen, J., Reunanen, J., Neittaanmäki, P. 1986. A random Search Algorithm for Constrained Global Optimisation. Acta Polytechnica Scandinavica, Chem. Tech. and Metallurgy Series, No. 172, Helsinki. 45 p.
42. Park, I., Lee, B., Hahn, S. 1990. Pole Shape Optimisation for Reduction of Cogging Torque by Sensitivity Analysis. COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 9, Supplement A. pp. 111-114.
43. Pedersen, P. 1988. Design for Minimum Stress Concentration - Some Practical Aspects. Structural Optimization, pp. 182-187, Kluver, Dordrecht, The Netherlands, pp. 225-232.
44. Perho, J., Niemenmaa, A., Jokinen, T., Arkkio, A. 1995. Harmonic effects in AC machines. Helsinki Univ. of Technology, Laboratory of Electromechanics, TKK OFFSET, ISBN 951-22-2850-5. 178 p. (In Finnish)
45. Plank, E. 1993. Optimisierung des Schwindungskomfort mit Hilfe der Finite-Element-Methode am Beispiel eines frontgetriebenen PKW's. Technische Universität München, Doctoral Thesis. 135 p.
46. Poloujadoff, M., Christaki, E., Bergmann, C. 1994. Univariant Search: An opportunity to identify and solve conflicting problems in optimisation. IEEE Trans. on Energy Conversion, Vol. 9, No. 4, Dec. 1994. pp. 659-664.
47. Preis, K., Ziegler, A. 1990. Optimal Design of Electromagnetic Devices with Evolution Strategies. COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 9, Supplement A. pp. 119-122.
48. Press, W. H., Flannery, B. P., Teukolsky, S.A., Vetterling, W. T. 1989. NUMERICAL RECIPES, The Art of Scientific Computing (FORTRAN VERSION). Cambridge University Press. 702 p.
49. Pyrhönen, J., Kurronen, P. 1994. Increasing efficiency of high-speed solid rotor induction machines. Proceedings of ICEM'94. Paris, France. Vol. 1. pp. 47-52.
50. Quinn, M. J. 1987. Designing Efficient Algorithms for Parallel Computers, McGraw-Hill.
51. Rouhiainen, H. 1986. Interactive and adaptive mesh generator for the numerical calculation of the saturable magnetic fields. Master's Thesis, Helsinki Univ. of Tech, Finland. 101 p. (In Finnish)
52. Rudolph, G. 1994. Convergence Analysis of Canonical Genetic Algorithms. IEEE Trans. on Neural Networks. Vol. 5:1. pp. 96-101.
53. Russenschuck, S. 1990. Mathematical Optimisation Techniques for the design of permanent magnet synchronous machines based on numerical field calculation. IEEE Trans. on Magn., Vol. MAG-26. 6 p.
54. Russenschuck, S. 1995. Mathematical Optimization Techniques in Computational Electromagnetics. International Compumag Society Newsletter. Vol. 2, No. 1. pp. 3-7.
55. Schoofs, A. J. G. 1987. Experimental Design and Structural Optimisation. Technical University of Eindhoven, Dissertation. 151 p.
56. Schraudolph, N. N., Belew, R. K. 1992. Dynamic Parameter Encoding for Genetic Algorithms. Machine Learning, Vol. 9. pp. 9-21.
57. Schwefel, H.-P. 1981. Numerical Optimisation of Computer Models. Chichester, UK: John Wiley.
58. Stadler, W. 1975. Preference optimality and application of Pareto-optimality, in Marzollo, Leitmann: Multi-criterion Decision Making. CISM Courses and Lectures. Springer Verlag.
59. Suontausta, A. 1989. The Effect of End Winding Inductance to Slot Impedance of a Cage Induction Motor. Helsinki Univ. of Tech., Laboratory of Electromechanics. Report No. 23. 23 p. (In Finnish)
60. Takahashi, N. 1990. Optimal Design Method of Magnetic Circuit. COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 9, Supplement A. pp. 101-106.
61. Viviani, A. 1978. Grid and Mesh Optimisation in Finite difference and Finite Element Methods in Magnetic Problems. IEEE Trans, on Magn. MAG-14, No. 5. pp. 461-463.
62. Vogt, K. 1983. Electriche Maschinen, Berechnung rotierender electrische Machinen. VEB Verlag Technik, Berlin, 500 p.
63. Väänänen, J. 1995. Combination of two-dimensional finite-element analysis of electrical machines with circuit simulation techniques. Acta Polytechnica Scandinavica, Electrical Engineering Series No. 80, Helsinki 1995. 104 pp.
64. Watz, J. E., Fulton, R. E., Cyrus, N. J., Epping, R. T. 1970. Accuracy of Finite Approximations to Structural Problems. NASA Technical Note D-5728.
65. Williamson, S., Smith, J. R. 1980. The application of minimisation algorithms in electrical engineering. IEE Proc., Vol. 127, Pt A, No. 8. pp. 528-530.
66. Williamson, S., McClay, C. I. 1995. Optimisation of the geometry of closed rotor slots for cage induction motors. IAS'95 Annual Conference, Orlando, Vol. 1. pp. 507-514.
67. Yang, H. Q., Richards, G. C. 1994. Optimum distribution system harmonic filter design using a genetic algorithm and simulated annealing. Electric Power Systems Research, Vol. 30. No 3. pp. 263-268.
68. Zienkiewicz, O. C., Campbell, J. S. 1973. Shape Optimisation and Sequential Programming. Optimum Structural Design, Theory and Applications, Wiley & Sons, London.