An Inverse Integral Formulation for Steel Shell Magnetization Identification

An algorithm for the reconstruction of unknown magnetization in an iron sheet is proposed. The magnetization distribution is reconstructed from magnetic measurements made on sensors placed in the surrounded air region. The problem is solved thanks to the inversion of an integral formulation, based on the face interpolation of the flux density in the sheet and leading to a linear matrix system. The final system is solved with a balanced singular value decomposition in order to stabilize the solution. The efficiency of the method is demonstrated with both numerical and experimental test cases. Index Terms-magnetization identification, magnetostatic inverse problem, volume integral method, thin magnetic shell.