Plasma and Fusion Research

Volume 17, 2405025 (2022)

Regular Articles

Quaternion Analysis of Transient Phenomena in Matrix Converter Based on Space-Vector Modulation
Kazuo NAKAMURA, Yifan ZHANG1), Takumi ONCHI, Hiroshi IDEI, Makoto HASEGAWA, Kazutoshi TOKUNAGA, Kazuaki HANADA, Hirotaka CHIKARAISHI2), Osamu MITARAI3), Shoji KAWASAKI, Aki HIGASHIJIMA, Takahiro NAGATA and Shun SHIMABUKURO
Research Institute for Applied Mechanics, Kyushu University, 6-1 Kasugakoen, Kasuga 816-8580, Japan
Interdisciplinary Graduate School of Engineering Sciences, Kyushu University, 6-1 Kasugakoen, Kasuga 816-8580, Japan
National Institute for Fusion Science, 322-6 Oroshi-cho, Toki 509-5292, Japan
Institute for Advanced Fusion & Physics Education, 2-14-8 Tokuou, Kita-ku, Kumamoto 861-5525, Japan
(Received 8 January 2022 / Accepted 13 February 2022 / Published 22 April 2022)


The space vector of an output voltage can be rotated smoothly in a matrix converter. However, a zero-sequence 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-width-modulated 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.


quaternion analysis, annihilation of zero-sequence component, transient phenomena, direct matrix converter, space-vector modulation, three-phase to three-phase

DOI: 10.1585/pfr.17.2405025


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