English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Effective medium theory replaces a given fine-scale heterostructure with a homogeneous one in such a way that the physically measurable quantities, e.g., reaction fields and losses, remain approximately the same. This article presents a peculiar case where the physical nature of the problem and the type of governing mathematical equations change upon homogenization. We consider a stratified nonlinear magnetic and conducting medium, where a low-frequency excitation induces eddy currents. It is shown that this eddy current problem becomes, upon homogenization, mathematically equivalent to a magnetostatic one and takes eddy currents into account via a complex-valued nonlinear <inline-formula> <tex-math notation="LaTeX">$B$ </tex-math></inline-formula>&#x2013;<inline-formula> <tex-math notation="LaTeX">$H$ </tex-math></inline-formula>-curve. The homogenization procedure is demonstrated for a cylindrical laminated iron core. High accuracy of homogenization, even for the <italic>local</italic> loss distribution, is demonstrated.

Effective Medium Transformation: The Case of Eddy Currents in Laminated Iron Cores