Journal
IEEE TRANSACTIONS ON ENERGY CONVERSION
Volume 24, Issue 3, Pages 565-577Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TEC.2009.2025412
Keywords
Analytical model; conformal mapping; electric machines; field reconstruction (FR); induction machines (IMs); Schwarz-Christoffel (S-C) mapping; SC Toolbox; slotted structure
Funding
- Grainger Center for Electric Machinery and Electrornechanics, University of Illinois at Urbana-Champaign [N00014-08-1-0397a, TEC-00071-2009]
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With the recent increase in the availability and widespread use of inverters, exotic rare earth permanent-magnet materials, and low-cost, precision manufacturing, new design tools are needed to aid engineers in designing state-of-the-art electromechanical systems. For this purpose, recent software advances allow a reexamination of previously intractable analytical solutions to the boundary value problems governing these systems. This paper presents an analytical field analysis method for electric machines utilizing the Schwarz-Christoffel transformation and implemented with the SIC Toolbox software package. With the method, general 2-D electric machine cross sections with linear magnetic materials are analyzed. The method is then extended using superposition to analyze wound-rotor induction machines in the time domain. With this extension, numerous machine geometries, stator excitations, winding and slot harmonics, and torque ripple can be examined.
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