Electromagnetic problems solving by conformal mapping: a mathematical operator for optimization
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2010
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Having the property to modify only the geometry of a polygonal structure, preserving its physical
magnitudes, the Conformal Mapping is an exceptional tool to solve electromagnetism problems
with known boundary conditions. This work aims to introduce a new developed mathematical
operator, based on polynomial extrapolation. This operator has the capacity to accelerate an
optimization method applied in conformal mappings, to determinate the equipotential lines, the
field lines, the capacitance, and the permeance of some polygonal geometry electrical devices with
an inner dielectric of permittivity ε. The results obtained in this work are compared with other
simulations performed by the software of finite elements method, Flux 2D.
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CALIXTO, Wesley Pacheco; ALVARENGA, Bernardo; MOTA, Jesus Carlos da; BRITO, Leonardo da Cunha; WU, Marcel; ALVES, Aylton José; MARTINS NETO, Luciano; ANTUNES, Carlos F. R. Lemos. Electromagnetic problems solving by conformal mapping: a mathematical operator for optimization. Mathematical Problems in Engineering , Cairo, v. 2010, p. 1-19, 2010.