Genetic algorithm coupled with Bézier curves applied to the magnetic field on a solenoid axis synthesis

• Autorzy: Ziolkowski M. , Gratkowski S.

Identyfikatory

DOI

10.1515/aee-2016-0027

• Języki publikacji: EN

Abstrakty

EN

Electromagnetic arrangements which create a magnetic field of required distribution and magnitude are widely used in electrical engineering. Development of new accurate designing methods is still a valid topic of technical investigations. From the theoretical point of view the problem belongs to magnetic fields synthesis theory. This paper discusses a problem of designing a shape of a solenoid which produces a uniform magnetic field on its axis. The method of finding an optimal shape is based on a genetic algorithm (GA) coupled with Bézier curves.

Słowa kluczowe

EN

Bézier curves; genetic algorithms; magnetic field synthesis; nonlinear inverse; problems

• Wydawca: Polish Academy of Sciences, Committee on Electrical Engineering
• Czasopismo: Archives of Electrical Engineering
• Rocznik: 2016
• Tom: Vol. 65, nr 2
• Strony: 361--370
• Opis fizyczny: Bibliogr. 8 poz., fig., tab., wz.

Twórcy

autor

Ziolkowski M.

• West Pomeranian University of Technology, Szczecin Department of Electrical and Computer Engineering ul. Sikorskiego 37, 70-313 Szczecin, Poland

autor

Gratkowski S.

• West Pomeranian University of Technology, Szczecin Department of Electrical and Computer Engineering ul. Sikorskiego 37, 70-313 Szczecin, Poland

Bibliografia

• [1] Ziolkowski M., Comparison of two methods for magnetic field synthesis on a solenoid's axis, Archiv fur Elektrotechnik (Electrical Engineering), 93(4): 227-235 (2011).
• [2] Ziolkowski M., Topology optimization of magnetic field in three-dimensional finite region, Engineering Optimization, 44(6): 673-684 (2012).
• [3] Tikhonov A., Goncharsky A., Stepanov V., Yagola A., Numerical Methods for the Solution of Illposed Problems, Kluwer Academic Publishers, Dordrecht (1995).
• [4] Adamiak K., Tichonov's regularization method applied to the magnetic field on a solenoid axis synthesis, Archiv fur Elektrotechnik, 59: 19-22 (1977).
• [5] Di Barba P., Gottvald A., Savini A., Global optimization of Loney's solenoid: a benchmark problem, International Journal of Applied Electromagnetics and Mechanics, 6: 273-276 (1995).
• [6] Ziolkowski M., Gratkowski S., Genetic algorithm and Bezier curves based shape optimization of conducting shields for low frequency magnetic fields, IEEE Transactions on Magnetics, 44(6): 1086-1089 (2008).
• [7] Haupt R., Haupt S., Practical Genetic Algorithms, 2nd ed, John Wiley & Sons, Inc., New York (2004).
• [8] Piegl L., Fundamental developments of computer aided geometric design, CA: Academic Press, San Diego (1994).

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę