Analytical and numerical techniques for solving Laplace and Poisson equations in a tubular permanent magnet actuator, Part II: Schwarz-Christoffel mapping

B.L.J. Gysen, E. Lomonova, J.J.H. Paulides, A.J.A. Vandenput

Research output: Contribution to journalArticleAcademicpeer-review

38 Citations (Scopus)
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Abstract

In Part I of the paper, we derive a semianalytical framework for the magnetic field calculation in the air gap of a tubular permanent-magnet (PM) actuator. We also make an extension for skewed topologies. However, the slotting effect and its related cogging force cannot be determined in a straightforward way. Therefore, in Part II, we apply the Schwarz-Christoffel (SC) conformal mapping method to one pole-pair of the tubular PM actuator. This mapping allows for field calculation in a domain where standard field solutions can be used. In this way, slotting effects can be taken into account; however, skewing cannot be implemented directly. The SC-conformal mapping method is valid only for two-dimensional Cartesian domains. We therefore apply a special transformation from the cylindrical to the Cartesian coordinate system to describe the tubular actuator as a linear actuator.
Original languageEnglish
Pages (from-to)1761-1767
Number of pages7
JournalIEEE Transactions on Magnetics
Volume44
Issue number7
DOIs
Publication statusPublished - 2008

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