Application of the genetic algorithm to solve the two-point boundary value problem

• Autorzy: Kawecki, L.
• Języki publikacji: EN

Abstrakty

EN

The article presents the application results of an algorithm, called hybrid algorithm of parametric optimization, compounded by a genetic algorithm and a classic algorithm, in solve the two point boundary value problem in case the Pontryagin maximum principle is used to synthesize the optimal speed control of the induction motor. The optimization of I he control consist:, in minimizing the electric power losses in the magnetic core of the motor, limiting the amplitude of the stator current. The solution of the two-point boundary value problem is carried out for different indexes of parametric optimization using the genetic algorithm, the classic algorithm or both algorithms consecutively. These investigations allow establishing the most convenient index and the algorithm from the accuracy solution and the computer calculation speed point of view.

Słowa kluczowe

PL

optymalizacja parametryczna; algorytm hybrydowy; zagadnienie brzegowe dwupunktowe; zasada maksimum Pontriagina

EN

parametric optimization; hybrid algorithm; two-point boundary-value problem; Pontryagin maximum principle

• Czasopismo: Journal of Applied Computer Science
• Rocznik: 2004
• Tom: Vol. 12, nr 1
• Strony: 7-22
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Kawecki, L.

• Postgraduate Studies' Section, Mexican National Technological Institute (IPN), Unidad Zacatenco, Edificio #5, 3er piso, 07738 Mexico D.F., Mexico,

Bibliografia

• [1] Kawecki L.: Hybrid Algorithm of Parametric Optimization (in Spanish) Proceedings of 5th International Conference on Simulation for Computer, Pan-American University, McLeod Institute of Simulation Science, 2000, México D.F., pp. 65-72.
• [2] Kawecki L., Niewierowicz T.: Minimization of magnetic losses in the speed control of induction motors taking into consideration the electromagnetic transient and magnetic material saturation (in Spanish). Proceedings of the IEEE International Conference, Mexican Section, Power Chapter "Fifteenth Power Summer Meeting", 2002, Acapulco Guerrero, México, pp. 1-7.
• [3] Athans M., Falb P.L.: Optimal control, McGraw-Hill, New York, 1966.
• [4] Boltianski V.G.: Mathematical methods of optimal control (in Polish). WNT, Warsaw, 1971.
• [5] Krause P.C.: Analysis of electric machinery, McGraw-Hill New York 1987.
• [6] Pontryagin L.S., Boltianski V.G.: The mathematical theory of optimal processes, John Wiley and Sons, New York 1962.
• [7] Rutkowska D., Pilinski M., Rutkowski L.: Neural Networks, Genetic Algorithms and Fuzzy Systems (in Polish), PWN, Warsaw, 1997