A Direct Model Predictive Control Strategy with an Implicit Modulator for Six-Phase PMSMs

Yitong Wu, Zhen Zhang, Qifan Yang, Wei Tian, Petros Karamanakos, Marcelo Lobo Heldwein, Ralph Kennel

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This paper proposes a direct model predictive control (MPC) scheme for asymmetric six-phase permanent magnet synchronous machines (PMSMs), which combines control and modulation in one computation stage. By emulating the switching pattern of space vector modulation (SVM), the MPC problem is formulated as a four-dimensional current control problem where the switching sequences and instants are computed and directly applied to the inverters. This implicit modulation addresses the issue of a variable switching frequency and spread harmonic spectra of conventional direct MPC methods. Moreover, the effect of the modulation constraints and controller bandwidth on the system performance is investigated as well. To verify the effectiveness of the proposed control strategy, experiments are carried out with an asymmetric six-phase PMSM driven by two three-phase two-level inverters.

Original languageEnglish
Pages (from-to)1291 - 1304
JournalIEEE Journal of Emerging and Selected Topics in Power Electronics
Issue number2
Early online date2022
Publication statusPublished - 2023
Publication typeA1 Journal article-refereed


  • Harmonic analysis
  • harmonic elimination
  • implicit modulator
  • Magnetic materials
  • Model predictive control
  • Modulation
  • modulation constraints
  • multi-phase machines
  • Support vector machines
  • Switches
  • Voltage
  • Windings

Publication forum classification

  • Publication forum level 2

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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