Calculation of AC resistance of single‐layer coils using boundary‐element method

Abstract

Abstract Boundary‐element method (BEM) is applied to the analysis of AC resistance of single‐layer coils. For simplification of the analysis, the coil windings are replaced by a system of parallel straight conductors. Applying the method of images and closed‐form solutions of off‐diagonal matrix elements, and exploiting the symmetry of submatrices, high computational efficiency can be achieved by the proposed approach. As a numerical method, it is suitable for solenoids or pancake coils evenly wound by round or rectangular wires, or other wire shapes with proper symmetry. The proposed method is verified by the numerical results compared with those of finite‐element method (FEM) and measurements, from which it is confirmed that the proposed approach has the same accuracy as the FEM, and the former is much faster and more memory efficient.

Keywords

• boundary‐elements methods
• coils
• conductors (electric)
• finite element analysis
• matrix algebra