Title :
Stochastic Finite Integration Technique for Eddy-Current Problems
Author :
Codecasa, Lorenzo ; Di Rienzo, Luca
Author_Institution :
Dipt. di ElettronicaInformazione e Bioingegneria, Politec. di Milano, Milan, Italy
Abstract :
A stochastic formulation of the finite integration technique over generic polyhedral grids for 3-D eddy-current problems is derived using polynomial chaos expansion. The formulation is then applied to a test case representing an ac resistance welding system. Validation of the formulation is carried out by comparison with Monte Carlo simulations.
Keywords :
chaos; eddy currents; integration; resistance welding; stochastic processes; 3D eddy-current problems; ac resistance welding system; polyhedral grids; polynomial chaos expansion; stochastic finite integration technique; Boundary conditions; Conductivity; Electric potential; Mathematical model; Polynomials; Random variables; Time-domain analysis; Eddy currents; finite integration technique (FIT); polynomial chaos expansion (PCE);
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2014.2356716