Pulsed field of a magnetising coil wound with a solid conductor of rectangular cross-section

Abstract

This describes a mathematical approach to solving the pulsed magnetic field for an N-turned magnetising coil. This coil is assumed to be made from a copper conductor with rectangular cross-sectional area. The algorithm accounts for each turns physical dimensions and spatial coordinates with respect to other turns, by simulating each winding with a model helical turn. A boundary matching method is used to determine the current density distribution in the 2D plane of the call conductor and the changed impedance due to "skin-effect". By assuming this distribution and changed impedance applies for the N-turned coil volume, the effects of eddy current losses are approximated inside the call. Results of comparing field calculations with several analytical field solutions for static fields, and by measurements for pulsed fields, confirms the accuracy of the field algorithm in approximating a real coil field to within 10% error. This algorithm can be used to aid the design for generation of saturation fields for magnetisation of different ferromagnetic materials.