TY - GEN

T1 - A preliminary investigation of computer-aided schwarz-christoffel transformation for electric machine design and analysis

AU - O'Connell, Timothy C.

AU - Krein, Philip T.

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

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U2 - 10.1109/COMPEL.2006.305670

DO - 10.1109/COMPEL.2006.305670

M3 - Conference contribution

AN - SCOPUS:45849095681

SN - 0780397258

SN - 9780780397255

T3 - Proceedings of the IEEE Workshop on Computers in Power Electronics, COMPEL

SP - 166

EP - 172

BT - Proceedings of the 2006 IEEE Workshop on Computers in Power Electronics, COMPEL'06

T2 - 2006 10th IEEE Workshop on Computers in Power Electronics, COMPEL 2006

Y2 - 16 September 2006 through 19 September 2006

ER -