Using external coils to correct field errors in tokamaks

Non axisymmetric correction coils can be highly effective at canceling the low order magnetic islands generated by magnetic field errors. Correction coil currents which, by themselves, mould produce an island of the same size and opposite phase as the error field, will result in cancelled magnetic islands. In computing the magnetic island sizes and toroidal phases of perturbations, the use of a straight-cylinder approximation can cause substantial error. An n=1 error with arbitrary phase can be corrected at a single resonant surface with one set of four correction coils. Correcting higher n harmonics requires more coils toroidally. Correcting same-n errors at more than one rational surface requires more correction coil sets.