Time domain sensitivity analysis of electromagnetic quantities utilising FEM for the identification of material conductivity distributions

Abstract

Purpose

This paper aims to present effective methods for computing electromagnetic field sensitivity in the time domain versus conductivity perturbations in finite elements.

Design/methodology/approach

Two‐dimensional cases in linear, isotropic media are considered and two effective methods for sensitivity analysis of a magnetic vector potential in the time domain are described.

Findings

The paper finds that the convergence of numerical identification algorithm depends on exact measurement of magnetic flux density. For identification of real cracks the application of data filtering and TSVD regularization of Gauss‐Newton algorithm is necessary.

Practical implications

The resultant gradient information may be used for solving inverse problems such as the identification of material conductivity distributions.

Originality/value

The algorithms described are based on known methods from established circuit theory – incremental circuit and adjoint circuit, these have been expanded to apply in electromagnetic field theory.

Citation

Gawrylczyk, K.M. and Kugler, M. (2006), "Time domain sensitivity analysis of electromagnetic quantities utilising FEM for the identification of material conductivity distributions", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 25 No. 3, pp. 589-598. https://doi.org/10.1108/03321640610666745