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Axiperiodic Solutions

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Finite Element Analysis of Electrical Machines

Part of the book series: Power Electronics and Power Systems ((PEPS))

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Abstract

Electromagnetic analysis of the end region must include three dimensional effects. In the previous chapters we have treated problems in which there was one component of current and two components of flux density. In the end region of most electrical machines the flux density will generally have three components and the currents two or three components depending on the geometry and the coordinate system chosen. Instead of a full three dimensional analysis, we can often solve a quasi-three dimensional problem called axiperiodic. Axiperiodic solutions give all three components of the magnetic field and yet we solve only a two dimensional problem. We need only mesh a two dimensional region and solve for a set of unknowns on a single plane. Axiperiodic analysis is possible in cases where the field behavior or distribution is specified in one of the coordinate directions. The idea is similar to ones we have previously used. When analyzing the cross section of machines we saw that by taking advantage of the periodic nature of the field in some machines, we could, by using periodic or anti-periodic boundary conditions, reduce the size of the problem and solve for one or two pole pitches instead of the entire cross section. The axiperiodic formulation is applicable in cases where the geometry is axisymmetric and the fields are periodic in the θ direction. As we will see, this type of analysis is especially useful in the end regions of rotating machines.

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    S. J. Salon

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© 1995 Springer Science+Business Media New York

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Salon, S.J. (1995). Axiperiodic Solutions. In: Finite Element Analysis of Electrical Machines. Power Electronics and Power Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-2349-9_11

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  • DOI: https://doi.org/10.1007/978-1-4615-2349-9_11

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