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Dynamic feedback for multi-mode plasma instabilities

Published online by Cambridge University Press:  13 March 2009

Amiya K. Sen
Affiliation:
Department of Electrical Engineering and Computer Science and Plasma Research Laboratory, Columbia University, New York, N.Y.

Abstract

Constant feedback, which has been used exclusively, fails to stabilize more than one mode of a plasma instabiliity. It is shown that a suitable dynamic or frequency-dependent feedback can stabilize all modes. Methods are developed in which such a feedback strucutre can be chosen in terms of its poles and zeros in relation to those of the plasma transfer function in the complex frequency plane. The synthesis procedure for such a feedback sturcure, in the form of an integrated electronic circuit is also discussed. As an example, a dynamic feedback for multi-mode stabilization of a collisional drift wave instability is developed in detail.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1978

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References

Cahit, R. & Cahit, J. 1974 Proc. IEEE, 62, 851.CrossRefGoogle Scholar
Chu, T. K. & Hendel, H. W. (eds.) 1970 Feedback and Dynamic Control of Plasmas. American Institute of Physics, New York.Google Scholar
Furth, H. P. & Rutherford, P. H. 1969 Phys. Fluids, 12, 2638.CrossRefGoogle Scholar
Guillemin, E. A. 1957 Synthesis of Passive Networks. Wiley.Google Scholar
Millman, J. & Halkias, C. C. 1972 Integrated Electronics: Analog and Digital Circuits and Systems. McGraw-Hill.Google Scholar
Mitra, S. K. 1971 Active Inductorless Filters. IEEE Press, New York.Google Scholar
Schwarz, R. J. & Friedland, B. 1965 Linear Systems. McGraw-Hill.Google Scholar
Sen, A. K. 1974 Plasma Phys. 16, 509.CrossRefGoogle Scholar
Sen, A. K. 1975 a Phys. Fluids, 18, 1187.CrossRefGoogle Scholar
Sen, A. K. 1975 b IEEE Trans. Plasma Science, PS-3, 163.Google Scholar
Truxall, J. G. 1955 Automatic Feedback Control System Synthesis. McGraw-Hill.CrossRefGoogle Scholar