Analytical Method to estimate Magnetic Fields from a 2D Scalar Potential for a normative Setup

Components in the electric drive train of vehicles must meet strict requirements from standards with regard to magnetic field emissions. High voltage cables play an important role in the distribution of intended functional and unintended parasitic currents. These currents result in radiated magnetic field emissions that are influenced by geometric configurations. A 2D approach with simplifications to calculate current to field transfer functions is presented to estimate the effect of the geometric configurations of the current loops on the resulting magnetic fields. Furthermore for analytical calculations, they are decomposed into geometric subareas based on the distribution of functional and parasitic currents. As a result transfer functions are presented for practical application in typical automotive laboratory setups from an analytical method without exaggerated complexity.