Analytical solutions of multilevel space-vector PWM for multiphase voltage source inverters

Jwu-Sheng Hu*, Keng Yuan Chen, Te Yang Shen, Chi Him Tang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

48 Scopus citations


This study systematically analyzes multilevel space-vector pulse width modulation for a multiphase voltage source inverter (VSI). The instantaneous output voltages of the VSI, which are called space vectors, can be classified according to the switching states of the VSI. By applying the eigenspace decomposition of the system matrix, the n-phase VSI control problem can be solved analytically. This analysis leads to a switching strategy that uses the fewest space vectors and minimum total conduction time. This yields a minimum switching number and efficient dc supply utilization. Further, the switching strategy of a multilevel multiphase VSI system can be solved based on the switching strategy of a two-level multiphase VSI. Simulations and experimental results confirm the effectiveness of the proposed algorithm.

Original languageEnglish
Article number5595009
Pages (from-to)1489-1502
Number of pages14
JournalIEEE Transactions on Power Electronics
Issue number5
StatePublished - 28 Jun 2011


  • Maximum modulation index
  • multiphase
  • pulse width modulation (PWM)
  • space vector
  • voltage source inverters (VSI)

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