## Abstract

An alternative method to finite element analysis (FEA) for electric machine design and analysis is presented that applies Schwarz-Christoffel (SC) conformal mapping theory using the SC Toolbox for MATLAB® that has appeared in the previous literature. In this method, a two-dimensional (2D) developed machine cross-section domain is mapped via SC transformation to a concentric cylinder domain where solutions for the electromagnetic (EM) fields are known. These solutions are mapped back to the original domain, thus solving the original problem. All mapping is done via the SC Toolbox. Examples are given in which the procedure is used to calculate the EM field in the air gap of and the force on the rotor of various 2D developed machine cross-sections. The numerical accuracy of the results is verified by comparing the solutions as the air gap gets small with magnetic equivalent circuit (MEC)-derived coenergy solutions.

Original language | English (US) |
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Title of host publication | Proceedings of the 2006 IEEE Workshop on Computers in Power Electronics, COMPEL'06 |

Pages | 166-172 |

Number of pages | 7 |

DOIs | |

State | Published - 2006 |

Event | 2006 10th IEEE Workshop on Computers in Power Electronics, COMPEL 2006 - Troy, NY, United States Duration: Sep 16 2006 → Sep 19 2006 |

### Other

Other | 2006 10th IEEE Workshop on Computers in Power Electronics, COMPEL 2006 |
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Country/Territory | United States |

City | Troy, NY |

Period | 9/16/06 → 9/19/06 |

## ASJC Scopus subject areas

- Software
- Electronic, Optical and Magnetic Materials
- Electrical and Electronic Engineering