Modeling of Spatial Uncertainties in the Magnetic Reluctivity

TL;DR

This paper introduces an efficient stochastic modeling method for inhomogeneous magnetic reluctivity using Karhunen-Loève expansion, applied to analyze the statistical behavior of transformer inductance.

Contribution

It presents a novel computational approach for modeling magnetic material uncertainties, specifically employing Karhunen-Loève expansion for inhomogeneous reluctivity.

Findings

Efficient stochastic model for magnetic reluctivity.

Analysis of inductance statistics in transformers.

Validation on a benchmark transformer example.

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-Lo\`{e}ve expansion. The stochastic model is further used to study the statistics of the self inductance of the primary coil as a quantity of interest.