Topology optimized permanent magnet systems

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Topology optimization of permanent magnet systems consisting of permanent magnets, high permeability iron and air is presented. An implementation of topology optimization for magnetostatics is discussed and three examples are considered. The Halbach cylinder is topology optimized with iron and an increase of 15% in magnetic efficiency is shown. A topology optimized structure to concentrate a homogeneous field is shown to increase the magnitude of the field by 111%. Finally, a permanent magnet with alternating high and low field regions is topology optimized and a ΛcoolΛcool figure of merit of 0.472 is reached, which is an increase of 100% compared to a previous optimized design.
Original languageEnglish
JournalJournal of Magnetism and Magnetic Materials
Pages (from-to)78-85
Publication statusPublished - 2017


  • Topology optimization
  • Halbach cylinder
  • Magnetic field
  • Permanent magnet flux sources
  • Magnetic efficiency

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