Quaternion Analysis of Transient Phenomena in Matrix Converter Based on Space-Vector Modulation

Kazuo Nakamura, Yifan Zhang, Takumi Onchi, Hiroshi Idei, Makoto Hasegawa, Kazutoshi Tokunaga, Kazuaki Hanada, Hirotaka Chikaraishi, Osamu Mitarai, Shoji Kawasaki, Aki Higashijima, Takahiro Nagata, Shun Shimabukuro

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


The space vector of an output voltage can be rotated smoothly in a matrix converter. However, a zerosequence component appears causing problems in the load, such as a motor. A quaternion is a four-dimensional hypercomplex number with an imaginary part that can simultaneously represent and deal with three-phase voltages. In addition, the quaternion is expressed in the exponential form; thus, it can easily represent the space vector rotation. Two zero configurations were used to optimize the ripple characteristics in fictitious pulse-widthmodulated voltage-source inverter. The two zero configurations are used to remove the zero-sequence component from the matrix converter. The quaternion can be differentiated in time as well as rotate in space. Therefore, it is used to analyze transient phenomena in the matrix converter’s rise-up and rise-down phases, and the switching’s transition phase.

Original languageEnglish
Article number2405025
JournalPlasma and Fusion Research
Issue numberSpecialIssue 1
Publication statusPublished - 2022

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics


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