This paper presents the simple and fast algorithms for the optimal design of complex electrical machines. A single-phase capacitor-run permanent-magnet (PM) motor whose auxiliary winding is supplied through a capacitor is a kind of the complex electrical machine. The exact motor performance analysis using two-axis theory is very difficult because the operation has been complicated by the imbalance between the main and auxiliary winding voltages. Besides, this motor has the pulsating torque component corresponding to double fundamental frequency of the supply voltage due to the backward stator rotating field. The successful combined method of the time-stepping finite element analysis (FEA) and response surface methodology (RSM) have been proposed to minimize the torque ripple and maximize the efficiency. The optimum values of the capacitance for running and stator-slot skew pitch to minimize the torque ripple and maximize the efficiency are obtained respectively.
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