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Analytical Force Determination in an Electromagnetic Actuator

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Yves Perriard, Marcel Jufer, Miroslav Markovic
2008

Abstract

We present an original analytical determination of the force acting on the moving coil in an electromagnetic actuator. The actuator magnetic field is solved analytically by Schwarz-Christoffel (SC) mapping. The SC integral is solved analytically using the elliptic functions. We verified the results by finite-element methods. © 2007 IEEE

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https://infoscience.epfl.ch/entities/publication/d8f1bc72-fdad-4d1c-b603-603b06341f2b

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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 .

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