Calculation Methods for Current Distribution in Single-Turn Coils of Arbitrary Cross Section

Three methods to calculate the current distribution, both in magnitude and phase, throughout the cross section of a single-turn coil are presented. The methods are analytical for computer computations in that exact solutions would be obtained if round-off errors could be avoided completely. The numerical procedure, which solves the resulting matrix system equation, common to all three solutions, is discussed. It provides a numerically stable solution by separating the complex matrix equation into two real matrix equations, namely, the real and imaginary parts.