Combining Schwarz-Christoffel Mappings and Biot-Savart Law to Calculate the High-Frequency Current Distribution Inside a Single Slot

A novel calculation approach for the current and field distribution inside conductors in a slot at high frequencies based on a combination of a Schwarz-Christoffel Mapping and Biot-Savart Law is presented. The stator and rotor laminations are modeled using a surface impedance boundary condition and the results are validated against 2D FEA. The proposed method is overall less capable and mature than widely available 2D FEA software but has some appeal in niche applications, where licensing issues with FEA software are of concern or a high degree of integration into a broader tool chain is desirable.