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This paper presents a numerical analysis method to accurately predict the steady-state and transient performance of a single-phase capacitor-run permanent-magnet motor with skewed rotor slots. Two-dimensional time-stepping finite-element analysis has been used to successfully predict the steady-state and dynamic transient performance of the prototype motor by using a multislice model. The agreement between computed and measured results of the prototype motor validates the proposed analysis method. The maximum efficiency and minimum torque ripple versus the value of capacitance have been determined from the results of the steady-state synchronous performance analysis. The run-up response corresponding to skew pitch has been obtained from the results of the starting performance analysis.