紀要論文 Quaternion Analysis of Power Supply for Tokamak Plasma Control

Nakamura, Kazuo  ,  Jamil, Irfan  ,  Liu, Xiaolong  ,  Mitarai, Osamu  ,  Hasegawa, Makoto  ,  Tokunaga, Kazutoshi  ,  Araki, Kuniaki  ,  Zushi, Hideki  ,  Hanada, Kazuaki  ,  Fujisawa, Akihide  ,  Idei, Hiroshi  ,  Nagashima, Yoshihiko  ,  Kawasaki, Shouji  ,  Nakashima, Hisatoshi  ,  Higashijima, Aki

149pp.16 - 23 , 2015-09 , Research Institute for Applied Mechanics, Kyushu University
ISSN:1345-5664
NII書誌ID(NCID):AA11459359
内容記述
Power supply for plasma control has been developed from condenser bank with ignitron for pulse tokamak plasma to PWM inverter with IGBT for steady tokamak plasma. Quaternion, four-dimensional hypercomplex number is good at describing three-dimensional rotation. Utilizing the performance of the quaternion rotation,we analyze three-phase power electronic circuit for the tokamak plasma control of equilibrium and stability. By further introduction of biquaternion concept, we can deal with phasor of each phase of three-phase AC similarly. But, we have to multiply the rotation operator from the left-hand side and from the right-hand side by using the conjugation. We try to verify the merits beyond the multiplication inconvenience from both sides. Not only symmetrical three-phase AC (positive sequence) but also negative sequence and zero sequence can be dealt with. Concerning quaternion power of three-phase AC, we can obtain the similar result as the one in pq theory. Quaternion can divide three-dimensional vector. The capability is utilized to develop matrix converter strategy based not only on Venturini method but also on space vector method in more detail.
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http://catalog.lib.kyushu-u.ac.jp/handle/2324/1660012/149_p016.pdf

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