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

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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.

[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).

Archives of Electrical Engineering

The Journal of Polish Academy of Sciences

Journal Information

CiteScore 2016: 0.71

SCImago Journal Rank (SJR) 2016: 0.238
Source Normalized Impact per Paper (SNIP) 2016: 0.535


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