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Magnetic field analysis by the edge element FEM
Author(s) -
Miyata Kenji
Publication year - 2005
Publication title -
electrical engineering in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.136
H-Index - 28
eISSN - 1520-6416
pISSN - 0424-7760
DOI - 10.1002/eej.20168
Subject(s) - finite element method , enhanced data rates for gsm evolution , tetrahedron , current (fluid) , hexahedron , rotation (mathematics) , geometry , electromagnetic coil , magnetic potential , gauge (firearms) , mathematical analysis , magnetic field , vector potential , loop (graph theory) , field (mathematics) , physics , mathematics , structural engineering , engineering , materials science , electrical engineering , pure mathematics , telecommunications , quantum mechanics , combinatorics , metallurgy
Several useful techniques are presented for magnetic field analysis by the edge element FEM. The relations of nodal, edge, and facet shape functions are visualized as important properties using the differential operators of gradient and rotation. These shape functions and the rotation of edge shape functions are presented for tetrahedral, prismatic, pyramidal, and hexahedral elements. Furthermore, the method of determining coil current distributions satisfied with conservation of current is shown using a current vector potential and a surface tree gauge condition for open‐loop coils and closed loop coils. © 2005 Wiley Periodicals, Inc. Electr Eng Jpn, 154(1): 59–65, 2006; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.20168