WIAS Preprint No. 669, (2001)

Correct voltage distribution for axisymmetric sinusoidal modeling of induction heating with prescribed current, voltage, or power


  • Klein, Olaf
    ORCID: 0000-0002-4142-3603
  • Philip, Peter

2010 Mathematics Subject Classification

  • 78A25 65Z05

2008 Physics and Astronomy Classification Scheme

  • 84.32.Hh, 02.60.Cb


  • Sinusoidal induction heating, axisymmetric modeling, voltage distribution, numerical simulation




We consider the problem of determining the voltage in coil rings, which arise as an axisymmetric approximation of a single connected induction coil during modeling of induction heating. Assuming axisymmetric electromagnetic fields with sinusoidal time dependence, the voltages are computed from the condition that the total current must be equal in each ring. Depending on which of the quantities total current, total voltage, or total power is to be prescribed, the ring voltages are given by different linear systems of complex equations. In two sets of numerical simulations, varying the number of coil rings, we compare results using the correct voltage distribution to the corresponding results using the simple homogeneous voltage distribution.

Appeared in

  • IEEE transactions on Magnetics, 38 (2002), no. 3, pp. 1519-1523

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