Publication

Multiphysical Brushless DC Motor Optimization Process

Yves Perriard, Miroslav Markovic
2006
Conference Papers

Abstract

An original analytical determination of the force acting on the moving coil in an electromagnetic actuator is presented. The actuator magnetic field is solved analytically using the Schwarz-Christoffel (SC) mapping. The SC integral is solved analytically using the elliptic functions. The results are verified using FEM.

Official source

https://infoscience.epfl.ch/entities/publication/7a3a6fcb-2c37-4a26-b8b9-110ce19d09be

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Yves Perriard, Miroslav Markovic
2006
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/7a3a6fcb-2c37-4a26-b8b9-110ce19d09be

About this result

Related concepts (22)

Elliptic function

In the mathematical field of complex analysis, elliptic functions are a special kind of meromorphic functions, that satisfy two periodicity conditions. They are named elliptic functions because they come from elliptic integrals. Originally those integrals occurred at the calculation of the arc length of an ellipse. Important elliptic functions are Jacobi elliptic functions and the Weierstrass -function. Further development of this theory led to hyperelliptic functions and modular forms.

Jacobi elliptic functions

In mathematics, the Jacobi elliptic functions are a set of basic elliptic functions. They are found in the description of the motion of a pendulum (see also pendulum (mathematics)), as well as in the design of electronic elliptic filters. While trigonometric functions are defined with reference to a circle, the Jacobi elliptic functions are a generalization which refer to other conic sections, the ellipse in particular. The relation to trigonometric functions is contained in the notation, for example, by the matching notation for .

Lemniscate elliptic functions

In mathematics, the lemniscate elliptic functions are elliptic functions related to the arc length of the lemniscate of Bernoulli. They were first studied by Giulio Fagnano in 1718 and later by Leonhard Euler and Carl Friedrich Gauss, among others. The lemniscate sine and lemniscate cosine functions, usually written with the symbols sl and cl (sometimes the symbols sinlem and coslem or sin lemn and cos lemn are used instead), are analogous to the trigonometric functions sine and cosine.

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