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Topology optimization in magnetic fields using the homogenization design method
Author(s) -
Yoo Jeonghoon,
Kikuchi Noboru
Publication year - 2000
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/1097-0207(20000810)48:10<1463::aid-nme952>3.0.co;2-5
Subject(s) - topology optimization , homogenization (climate) , topology (electrical circuits) , hexahedron , optimal design , magnet , electromagnet , shape optimization , finite element method , magnetic potential , mathematics , mathematical optimization , mathematical analysis , mechanical engineering , engineering , structural engineering , electrical engineering , biodiversity , ecology , statistics , biology
To improve the performance of electric machinery, it is necessary to obtain the optimal topology of a structure in magnetic fields. The homogenization design method is applied to obtain the optimal topology. In the method, the change of inner hole size and rotational angle of unit cell determines the optimal material distribution in a design domain and this distribution defines an optimal topology. The objective function is defined as maximizing magnetic mean compliance (MMC). This is the same as maximizing magnetic vector potential and effective to improve the performance of electomagnet. The analysis and optimization is performed based on three‐dimensional hexahedral elements. This design method is applied to the H‐shaped electromagnet (H‐magnet). Copyright © 2000 John Wiley & Sons, Ltd.