Open Access
October 2006 Numerical Optimization for Magnetic Force Field Enhancement on Superconducting Coils
Xiaojun Liu, Tsukasa Kiyoshi
Japan J. Indust. Appl. Math. 23(3): 261-274 (October 2006).


High magnetic force field plays an important role in the wide applications of magnetic processing such as magnetic separation of ferromagnetic materials and magnetic levitation of diamagnetic materials. Therefore, the research on magnetic force field enhancement has been becoming a popular subject recent years. Many experimental methods have been designed and applied to enhance magnetic force field, however those methods took higher costs and longer time to set up real installations. A numerical optimization method was developed, which used only superconducting coils to calculate a magnetic force field and maximize it. In the method, the magnetic flux density $B$, the magnetic field gradient $\grad B$ and the magnetic force field $\grad (B^{2}/2)$, as objective functions respectively, were maximized with constraints of the total volumes of coils and the $B$-$J$ characteristics of superconductors. By comparing the numerical optimization results with theoretical values for single coil, we found that they are in good agreement. Also, in comparison with the results obtained by random models for double coils, those by optimal models were better. Moreover, the maximal magnetic force field was higher remarkably than that generated by the previous optimal model in NIMS.


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Xiaojun Liu. Tsukasa Kiyoshi. "Numerical Optimization for Magnetic Force Field Enhancement on Superconducting Coils." Japan J. Indust. Appl. Math. 23 (3) 261 - 274, October 2006.


Published: October 2006
First available in Project Euclid: 11 December 2007

MathSciNet: MR2281508

Keywords: FEM , magnetic force field , optimization , superconducting coil

Rights: Copyright © 2006 The Japan Society for Industrial and Applied Mathematics

Vol.23 • No. 3 • October 2006
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