Optimal design of feedback coils for the control of external modes in tokamaks
Abstract
A formalism is developed for optimizing the design of feedback coils placed around a tokamak plasma in order to control the resistive shell mode. It is found that feedback schemes for controlling the resistive shell mode fail whenever the distortion of the mode structure by the currents circulating in the feedback coils becomes too strong, in which case the mode escapes through the gaps between the coils, or through the centers of the coils. The main aim of the optimization process is to reduce this distortion by minimizing the coupling of different Fourier harmonics due to the feedback currents. It is possible to define a quantity {alpha}{sub 0} which parametrizes the strength of the coupling. Feedback fails for {alpha}{sub 0}{ge}1. The optimization procedure consists of minimizing {alpha}{sub 0} subject to practical constraints. If there are very many evenly spaced feedback coils surrounding the plasma in the poloidal direction then the optimization can be performed analytically. Otherwise, the optimization must be performed numerically. The optimal configuration is to have many, large, overlapping coils in the poloidal direction. {copyright} {ital 1998 American Institute of Physics.}
 Authors:
 Institute for Fusion Studies, Department of Physics, The University of Texas at Austin, Austin, Texas78712 (United States)
 Publication Date:
 OSTI Identifier:
 616863
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Plasmas; Journal Volume: 5; Journal Issue: 6; Other Information: PBD: Jun 1998
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION; PLASMA INSTABILITY; FEEDBACK; TOKAMAK DEVICES; OPTIMIZATION; SHELLS; PLASMA CONFINEMENT; BETA RATIO
Citation Formats
Fitzpatrick, R., and Yu, E.P.. Optimal design of feedback coils for the control of external modes in tokamaks. United States: N. p., 1998.
Web. doi:10.1063/1.872908.
Fitzpatrick, R., & Yu, E.P.. Optimal design of feedback coils for the control of external modes in tokamaks. United States. doi:10.1063/1.872908.
Fitzpatrick, R., and Yu, E.P.. 1998.
"Optimal design of feedback coils for the control of external modes in tokamaks". United States.
doi:10.1063/1.872908.
@article{osti_616863,
title = {Optimal design of feedback coils for the control of external modes in tokamaks},
author = {Fitzpatrick, R. and Yu, E.P.},
abstractNote = {A formalism is developed for optimizing the design of feedback coils placed around a tokamak plasma in order to control the resistive shell mode. It is found that feedback schemes for controlling the resistive shell mode fail whenever the distortion of the mode structure by the currents circulating in the feedback coils becomes too strong, in which case the mode escapes through the gaps between the coils, or through the centers of the coils. The main aim of the optimization process is to reduce this distortion by minimizing the coupling of different Fourier harmonics due to the feedback currents. It is possible to define a quantity {alpha}{sub 0} which parametrizes the strength of the coupling. Feedback fails for {alpha}{sub 0}{ge}1. The optimization procedure consists of minimizing {alpha}{sub 0} subject to practical constraints. If there are very many evenly spaced feedback coils surrounding the plasma in the poloidal direction then the optimization can be performed analytically. Otherwise, the optimization must be performed numerically. The optimal configuration is to have many, large, overlapping coils in the poloidal direction. {copyright} {ital 1998 American Institute of Physics.}},
doi = {10.1063/1.872908},
journal = {Physics of Plasmas},
number = 6,
volume = 5,
place = {United States},
year = 1998,
month = 6
}

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