Modeling of Spatial Uncertainties in the Magnetic Reluctivity

Abstract

In this paper a computationally efficient approach is suggested for the stochastic modeling of an inhomogeneous reluctivity of magnetic materials. These materials can be part of electrical machines, such as a single phase transformer (a benchmark example that is considered in this paper). The approach is based on the Karhunen-Loève expansion. The stochastic model is further used to study the statistics of the self inductance of the primary coil as a quantity of interest.

arXiv commentsubmitted to COMPEL

References in corpus (1)

• Stochastic Modeling and Regularity of the Nonlinear Elliptic Curl-Curl Equation

Cited by in corpus (2)

• Magnetic Field Simulation with Data-Driven Material Modeling
• A multilevel Monte Carlo method for high-dimensional uncertainty quantification of low-frequency electromagnetic devices