The Schwarz-Christoffel analytical method applied to electric machine slot shape optimization

T. C. O'Connell, Philip T Krein

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The Schwarz-Christoffel method is implemented in a Monte Carlo electric machine slot shape search algorithm attempting to maximize average torque under constrained flux density in a two-dimensional developed machine cross-section. A fixed slot current density is enforced, and the slot shape is varied over a twelve-variable search space. Rotor motion is simulated by changing the position of the machine air gap polygon's rotor vertices while maintaining both a simply-connected polygon and a 90° shift between stator and rotor q-axis currents. Rotor force is calculated by integrating Maxwell's stress tensor along a closed path enclosing the rotor. A Monte Carlo search with 11,050 points is carried out and a minimum cost horizon curve is deduced from the data. A brief history and context for the Schwarz-Christoffel approach is given with a comparison to the finite element and boundary element methods.

Original languageEnglish (US)
Title of host publicationProceedings of 2007 IEEE International Electric Machines and Drives Conference, IEMDC 2007
Pages341-346
Number of pages6
DOIs
StatePublished - Oct 16 2007
EventIEEE International Electric Machines and Drives Conference, IEMDC 2007 - Antalya, Turkey
Duration: May 3 2007May 5 2007

Publication series

NameProceedings of IEEE International Electric Machines and Drives Conference, IEMDC 2007
Volume1

Other

OtherIEEE International Electric Machines and Drives Conference, IEMDC 2007
CountryTurkey
CityAntalya
Period5/3/075/5/07

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Mechanical Engineering

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  • Cite this

    O'Connell, T. C., & Krein, P. T. (2007). The Schwarz-Christoffel analytical method applied to electric machine slot shape optimization. In Proceedings of 2007 IEEE International Electric Machines and Drives Conference, IEMDC 2007 (pp. 341-346). [4270663] (Proceedings of IEEE International Electric Machines and Drives Conference, IEMDC 2007; Vol. 1). https://doi.org/10.1109/IEMDC.2007.382690