Analysis and Suppression of Slotting and Cross-Coupling Effects on Current Control in PM Synchronous Motor Drives

Kahyun Lee, Jung Ik Ha, Dwarakanath V. Simili

Research output: Contribution to journalArticlepeer-review

30 Scopus citations


This paper proposes a d-q cross-coupling current controller for permanent magnet synchronous motor (PMSM) drives. Slotting and cross-coupling effects in PMSMs cause the effective air-gap length to vary with the rotor angle and distort the distribution of the air-gap flux. Such distortions have a significant influence on the current control by changing the relationship between the stator currents and voltages. To investigate their effects, a d-q model is established in this paper, which is suitable for describing the voltage characteristics of the actual PMSMs. The model contains the angle-dependent parameters, the cross-coupling inductance between d-q axes, and the q-axis permanent magnet flux linkage, unlike the ideal d-q model. The transfer function matrix from the d-q currents to d-q voltages of PMSM is newly derived from the model. Based on that, the current controller with the feedback and feedforward terms of 2-by-2 matrix is proposed. It is designed so that the independent gains are in low-pass filter forms and the coupling control gains are zero with eliminating interference between d-q axes. The proposed controller contributes to providing the stable control performance by canceling the slotting and cross-coupling effects. The performance of the proposed current controller is verified by experimental results.

Original languageEnglish
Article number8620364
Pages (from-to)9952-9956
Number of pages5
JournalIEEE Transactions on Power Electronics
Issue number10
StatePublished - Oct 2019

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  • AC motor drives
  • current control
  • decoupling control
  • permanent magnet machines
  • torque control


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