Nonlinear three-port magnetic-circuit elements for simulating bending magnets

• Herbert De Gersem ^[1] ; Vaishnavi Srinivasan ^[2] ; Carsten Muehle ^[2]
  1. [1] KU Leuven

     KU Leuven

     Arrondissement Leuven, Bélgica

     
  2. [2] GSI Helmholtz Centre for Heavy Ion Research

     GSI Helmholtz Centre for Heavy Ion Research

     Kreisfreie Stadt Darmstadt, Alemania

     
• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 37, Nº 1, 2018, págs. 266-279
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • urpose The purpose of this paper is to show that constructing magnetic equivalent circuits (MECs) for simulating accelerator magnets is possible by defining a three-port magnetic element for modelling the T-shape field distribution, where the flux leaves the yoke and enters the aperture.

    Design/methodology/approach A linear three-port magnetic element is extracted from an analytical field solution and can be represented by a number of two-port elements. Its nonlinear counterpart is obtained as a combination of the corresponding nonlinear two-port elements. An improved nonlinear three-port element is developed on the basis of an embedded nonlinear one-dimensional finite element model.

    Findings The T-shaped field distribution comes together with a complicated interplay between the saturation of the ferromagnetic yoke parts and flux leaking to the aperture. This is more accurately modelled by the improved nonlinear three-port magnetic element.

    Research limitations/implications MECs have a limited validity range, especially for configurations where a high saturation level and fringing flux effects coexist.

    Practical implications The results of the paper appeal to be careful with applying nonlinear MECs for simulating bending magnets.

    Originality/value A new nonlinear three-port magnetic element for ferromagnetic yoke parts with T-shaped flux distribution has been developed.