This paper describes novel complex rotating vector methods for calculating the air gap torque of a switched reluctance motor (SRM). These vector methods are used to derive a number of insightful methods for improving the smoothness of the SRM's air gap torque. The development covers both unsaturated as well as saturated SRM's. Theoretical methods are developed; alternative implementations of such rotating vector methods are described; and experimental results are included on a commercial, unsaturated SRM and on a commercial, saturated SRM with asymmetry. The results verify the capability of the proposed vector methods.
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