A Preliminary Investigation of Computer-Aided Schwarz-Christoffel Transformation for Electric Machine Design and Analysis

Author

O´Connell, Tim C. ; Krein, Philip T.

Author_Institution

Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL

fYear

2006

fDate

16-19 July 2006

Firstpage

166

Lastpage

172

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 MATLABreg 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

Keywords

air gaps; conformal mapping; electric machine CAD; electromagnetic fields; equivalent circuits; machine theory; magnetic circuits; rotors; FEA; MATLABreg; SC; air gap; computer-aided Schwarz-Christoffel transformation; concentric cylinder domain; conformal mapping theory; cross-section domain mapping; electric machine analysis; electric machine design; electromagnetic fields; finite element analysis; magnetic equivalent circuit; rotor; Computer languages; Conferences; Conformal mapping; Electric machines; Engine cylinders; Finite element methods; Geometry; Machinery; Magnetic materials; USA Councils;

fLanguage

English

Publisher

ieee

Conference_Titel

Computers in Power Electronics, 2006. COMPEL '06. IEEE Workshops on

Conference_Location

Troy, NY

ISSN

1093-5142

Print_ISBN

0-7803-9724-X

Electronic_ISBN

1093-5142

Type

conf

DOI

10.1109/COMPEL.2006.305670

Filename

4097482