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An analytical local approach to flux-conserving tokamak equilibrium

Published online by Cambridge University Press:  13 March 2009

J. J Ramos
J. J Ramos
Affiliation:
Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, U.S.A.
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Abstract

A solution to the Grad–Shafranov equation is obtained by expanding the MHD equilibrium functions in half-integer powers of the poloidal flux, about the magnetic axis. The poloidal angle dependence of the expansion coefficients is solved for, from a sequence of ordinary linear differential equations with constant coefficients. Flux conservation is achieved after calculating the inverse rotational transform, by requiring it to be invariant during the pressure rise.

Type
Research Article
Information
Journal of Plasma Physics , Volume 22 , Issue 1 , August 1979 , pp. 97 - 104
Copyright
Copyright © Cambridge University Press 1979

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References

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