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https://hdl.handle.net/10316/110197
Title: | Electromagnetic Problems Solving by Conformal Mapping: A Mathematical Operator for Optimization | Authors: | Calixto, Wesley Pacheco Alvarenga, Bernardo da Mota, Jesus Carlos Brito, Leonardo da Cunha Wu, Marcel Alves, Aylton José Neto, Luciano Martins Antunes, Carlos F. R. Lemos |
Issue Date: | 2010 | Publisher: | Hindawi | Serial title, monograph or event: | Mathematical Problems in Engineering | Volume: | 2010 | Abstract: | 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. | URI: | https://hdl.handle.net/10316/110197 | ISSN: | 1024-123X 1563-5147 |
DOI: | 10.1155/2010/742039 | Rights: | openAccess |
Appears in Collections: | FCTUC Eng.Electrotécnica - Artigos em Revistas Internacionais |
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Electromagnetic-problems-solving-by-conformal-mapping-A-mathematical-operator-for-optimizationMathematical-Problems-in-Engineering.pdf | 3.5 MB | Adobe PDF | View/Open |
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