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Cycloconverters are aptly used for the power supply of variable speed synchronous motors. However, output current offset and phase deviation increase in higher output frequency operation, and ripple current causes torque pulsation of the synchronous motor. A compensating method to improve current response performance is proposed and a digital simulation procedure in order to analyze the output current response of a cycloconverter is discussed. First, the six-phase noncirculating-type cycloconverter is discussed. Next the six-phase cycloconverter simulation was applied to the 12-phase cycloconverter. The simulated waveforms were compared with the experimental results in motor operation or regenerative operation. It was clarified that offset and phase deviation became zero using the compensating circuit. Additionally the average torque pulsation, the output current distortion factor, and the ripple torque versus the output-input frequency ratio were calculated by simulation in the cycloconverter-fed synchronous motor.