Formulae of stellarator approximation valid for finite aspect ratio helical tori are derived by using coordinate transformation and method of averaging. The three dimensional problem of MHD equilibrium and stability is reduced to two dimensional one; this makes possible to convert tokamak codes to stellarator codes. Importance of including residual magnetic field to recover the three dimensional magnetic field from averaged equilibrium is pointed out.
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Jiro Todoroki (1987) studied this question.
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