Complex vector form PI control for harmonic current control of a PMSM

Yudai Okajima, Kan Akatsu

Research output: Contribution to journalArticle


This paper proposes the harmonic current control of a permanent magnet synchronous machine using complex vector form PI controllers. The complex vector form PI controllers are designed based on voltage equations written in complex vector notation in multiple reference frames that synchronize with the harmonic current. Thus, a decoupling control in each reference frame can be achieved that has been difficult to realize in the past. The proposed method improves the transient response of the harmonic current control by realizing the decoupling control in each reference frame. Moreover, the proposed harmonic current control method can be designed and implemented easily because the PI gain design method for all harmonic orders is the traditional pole-zero cancellation method, which is well known. This paper presents the transient response and parameter sensitivity of the proposed harmonic current control that were obtained from the results of the simulation and experiment conducted, which reveal the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)238-245
Number of pages8
JournalIEEJ Transactions on Industry Applications
Issue number3
Publication statusPublished - 2017



  • Complex vector
  • Decoupling control
  • Harmonic current control
  • Permanent magnet synchronous machines

ASJC Scopus subject areas

  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering

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