Proper Generalized Decomposition with Cauer Ladder Network Applied to Eddy Current Problems

Niels Sören Köster, Oliver König, Oszkar Biro

Research output: Contribution to journalArticlepeer-review


A model order reduction method to recursively compute a Cauer ladder network from static finite-element solutions is extended for use with a double vector potential formulation, which decreases difficulties in solving the finite-element equation system. In addition, the connection between the boundary condition and the viability of the solution is demonstrated. Finally, the method is applied to two examples.

Original languageEnglish
Article number9360800
Number of pages4
JournalIEEE Transactions on Magnetics
Issue number6
Publication statusPublished - Jun 2021


  • Boundary conditions
  • Cauer ladder networks
  • Conductors
  • Eddy currents
  • eddy currents
  • Electric potential
  • finite element
  • Magnetic domains
  • Magnetic separation
  • Mathematical model
  • model order reduction
  • model order reduction (MOR)
  • Cauer ladder networks (CLNs)

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering

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