Plasma and Fusion Research

Volume 18, 2405035 (2023)

Regular Articles


Quaternion Analysis of Transient Phenomena of Motor-Generator
Kazuo NAKAMURA, Yifan ZHANG1), Takumi ONCHI, Hiroshi IDEI, Makoto HASEGAWA, Kazutoshi TOKUNAGA, Kazuaki HANADA, Takeshi IDO, Ryuya IKEZOE, 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
1)
Interdisciplinary Graduate School of Engineering Sciences, Kyushu University, 6-1 Kasugakoen, Kasuga 816-8580, Japan
2)
National Institute for Fusion Science, 322-6 Oroshi-cho, Toki 509-5292, Japan
3)
Tokai University, Kumamoto 862-8652, Japan
(Received 9 January 2023 / Accepted 22 March 2023 / Published 23 May 2023)

Abstract

A motor-generator slowly converts low electrical power to the large rotating energy of the induction motor, which is then converted to the higher electrical power of the synchronous generator through a pulse. Such a cycle is repeated in a tokamak plasma experiment. In the transient phase at the start of the synchronous generator, high transient voltage appears in the armature windings repeatedly. Due to the repeatability, it is imperative to estimate the high voltage and control it so that the maximum voltage is kept under a tolerable value. A quaternion is a four-dimensional hypercomplex number that is good at describing three-dimensional rotation. Utilizing the quaternion capability, a three-phase motor-generator is analyzed using three-dimensional rotation. The mechanical rotation was anlyzed by the rotation quaternion. The salient pole-type rotating field can be manipulated by direct-quadrature conversion even in quaternion analysis. The rotating dynamics and electrical phenomena of a motor-generator can be analyzed by considering the quaternion power from the motor-generator and the electrical load for plasma control.


Keywords

quaternion analysis, three-phase to three-phase, transient phenomena, motor-generator, regenerative mode

DOI: 10.1585/pfr.18.2405035


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