Approximation of Moments for the Nonlinear Magnetoquasistatic Problem With Material Uncertainties

In this paper, we study the magnetoquasistatic problem with uncertainties in the nonlinear magnetic material characteristic. In the case of small input uncertainties, adjoint techniques can be used to efficiently approximate the statistics of the quantities of interest. We carry out the corresponding sensitivity analysis and investigate the method's approximation properties. Numerical results discussing the approximation error are given for an electrical transformer.