A Computing Method of Functional Derivatives with respect to System Parameters of Steady-state Electromagnetic Field Equations

Abstract

The paper presents a computing method of functional derivatives with respect to system parameters such as magnetic resistivity, electric conductivity and source current in steady-state electromagetic fields. The method is based on Gataux differential, namely a kind of sensitivity analysis, and the functional derivatives are proved to be calculated by explicit forms of the solutions of the electromagnetic field equation and its adjoint equation. The methodis applied in success to a simple eddy current testing problem