Rapid determination of a straight magnetic coordinate system for stellarator configurations

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Abstract

A flux coordinate representation for the magnetic field is used to derive a system of simultaneous linear equations for accurately computing the rotational transform and the poloidal angle stream function for a given magnetic flux surface in a toroidal stellarator configuration. The procedure is useful for converting an arbitrary flux coordinate system into one for which all magnetic field lines are straight. It is quite general and requires only that the flux surfaces can be represented by double Fourier series of the coordinates R and Z and that values of the cylindrical components of the magnetic field are available on each surface. Numerical results obtained for vacuum configurations of the Advanced Toroidal Facility (ATF) show that the present procedure is more accurate and convenient than previous methods.

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Research sponsored by the Office of Fusion Energy, U. S. Department of Energy, under Contract DE-AC05-84OR21400 with Martin Marietta Energy Systems, Inc.

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