Identification of Random Material Parameters in Eddy Current Problems

Stochastic identification of material parameters in eddy current problems is presented. A method has been developed for computing eddy currents in materials with random magnetic properties. The electromagnetic field is formulated in terms of finite elements. The numerical solutions for deterministic as well as stochastic direct and inverse problems have been described. The proposed direct and inverse formulation describes probabilistic distributions of material data. As an example the stochastic identification of material data in an infinitely long conductor with a circular cross-section is presented. The stochastic solutions are obtained by application of the Monte Carlo method.