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Torque Ripple Reduction in Sectored Multi Three-Phase Machines Based on PWM Carrier Phase Shift

Wang, Xuchen; Sala, Giacomo; Zhang, He; Gu, Chunyang; Buticchi, Giampaolo; Formentini, Andrea; Gerada, Chris; Wheeler, Patrick


Xuchen Wang

Giacomo Sala

He Zhang

Chunyang Gu

Giampaolo Buticchi

Andrea Formentini


The interest in multiphase machines for high power and reliable drives has been growing, and many control algorithms have been proposed to improve their torque performance. This work presents a new approach to the modeling of a multi three-phase drive, aiming at the minimization of the torque ripple introduced by Pulse Width Modulation (PWM) voltage excitation, by the shift of carrier phase angles among different three-phase inverters. The underlying idea is to use standard three-phase converters feeding the individual segment and to apply a phase shift between the PWM carriers. For the torque ripple analyzed in this paper, only the interaction between the armature field, resulting from the PWM voltage excitation, and the fundamental component of the permanent magnet field is considered. The proposed carrier phase shift angles are obtained for a case study of sectored triple three-phase synchronous permanent magnet machine. Analytical, numerical and finite element analysis (FEA) results are presented to explain how the carrier shift angles affect the current and torque ripple. Finally, experimental results are presented to validate the model and the control algorithm.


Wang, X., Sala, G., Zhang, H., Gu, C., Buticchi, G., Formentini, A., …Wheeler, P. (2020). Torque Ripple Reduction in Sectored Multi Three-Phase Machines Based on PWM Carrier Phase Shift. IEEE Transactions on Industrial Electronics, 67(6), 4315-4325.

Journal Article Type Article
Acceptance Date Jul 6, 2019
Online Publication Date Jul 31, 2019
Publication Date 2020-06
Deposit Date Jul 15, 2019
Publicly Available Date Jul 18, 2019
Journal IEEE Transactions on Industrial Electronics
Print ISSN 0278-0046
Electronic ISSN 1557-9948
Publisher Institute of Electrical and Electronics Engineers
Peer Reviewed Peer Reviewed
Volume 67
Issue 6
Pages 4315-4325
Keywords Analytical models, Multiphase drives, Machine vector control, Permanent magnet machines, Pulse
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Torque Ripple Reduction In Sectored Multi Three-Phase Machines Based On PWM Carrier Phase Shift (12.4 Mb)

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