Abstract
This paper describes the spatial mode, frequencies, the voltage reference update timing, and their interaction of pulsewidth modulation (PWM) harmonics, focusing on a distributed winding permanent magnet synchronous motor. We investigated the electromagnetic force generating the noise by using a couple of analyses between a circuit simulator and a two-dimensional finite element analysis. It was found that the electromagnetic noise and vibration result from a radial electromagnetic force spaced at the spatial zeroth mode of $f_{c}\pm 3f_{1},f_{c}$ , and ${{2}}f_{c}$ ( $f_{c}$ : carrier frequency, $f_{1}$ : fundamental frequency of the current). We have shown that the radial electromagnetic force of frequency $f_{c}\pm 3f_{1}$ and ${{2}}f_{c}$ results from PWM harmonics. Also, the radial electromagnetic force of frequency $f_{c}$ evidently results from the voltage reference update timing of ${{1/ }}f_{c}$ . The electromagnetic noise and the spatial mode are demonstrated in the experiment.
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