Journal of Engineering Physics and Thermophysics

, Volume 92, Issue 5, pp 1130–1141 | Cite as

Modeling the Induction Heating of Press Equipment in an Automatic-Temperature-Control Mode

  • A. O. Glebov
  • S. V. Karpov
  • S. V. KarpushkinEmail author
  • E. N. Malygin

Consideration has been given to the most widespread three-dimensional formulations of a mathematical model of the process of inducing eddy currents in ferromagnetic materials. Two procedures have been proposed to calculate temperature fields of induction heating devices in a mode of automatic proportional-integral-differential temperature control, which makes it possible to considerably reduce the consumption of computer time with ensuring acceptable accuracy. The first procedure provides for a successive conduct of electromagnetic and thermal analyses with the "scaling" of heat releases from the eddy currents at the stage of control. In the case of shortage computational resources it is possible to use the second procedure which involves a thermal model under the assumption of a uniform release of heat in the region of inductors and is only applicable for the inductors placed inside heated bodies. Using the calculation of temperature fields in press plates, molds, and vulcanized products as an example, the authors have shown the necessity of taking account of the period of stabilization of a temperature field in developing and operating heating plates.


induction heating press equipment eddy currents PID controller temperature field finite-element analysis 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    E. N. Malygin, S. V. Karpushkin, and S. V. Karpov, Modeling and calculation of the processes of induction heating of press equipment in the production of rubber technical goods, Nauka Obraz. Élektron. Nauch. Tekh. Izd., No. 3, 85–104 (2013); DOI:
  2. 2.
    D. Selvakarthi, S. J. Suji Prasad, R. Meenakumari, and P. A. Balakrishnan, Optimized temperature controller for plastic injection molding system, 2014 Int. Conf. on Green Computing Communication and Electrical Engineering (ICGCCEE) — IEEE, No. 1, 977–981 (2014).Google Scholar
  3. 3.
    X. G. Hou and C. L. Wang, Induction heating furnace temperature control based on the fuzzy PID, Appl. Mech. Mater., 217–219, 2463–2466 (2012).CrossRefGoogle Scholar
  4. 4.
    C. J. Carpenter, Comparison of alternative formulations of 3-dimensional magnetic-field and eddy-current problems at power frequencies, Proceedings of the Institution of Electrical Engineers; Scholar
  5. 5.
    R. Plasser, G. Koczka, and O. Bíró, A nonlinear magnetic circuit model for periodic eddy current problems using T, Φ–Φ formulation, COMPEL — The Int. J. Comput. Math. Electr. Electron. Eng., 36, No. 3, 649−664 (2017).CrossRefGoogle Scholar
  6. 6.
    O. Bíró and K. Preis, On the use of the magnetic vector potential in the finite-element analysis of three-dimensional eddy currents, IEEE Trans. Magn., 25, No. 4, 3145–3159 (1989); Scholar
  7. 7.
    O. Bíró, Edge element formulations of eddy current problems, Comput. Methods Appl. Mech. Eng., 169, Nos. 3−4, 391−405 (1999); Scholar
  8. 8.
    A. Kameari, Calculation of transient 3D eddy current using edge-elements, IEEE Trans. Magn., 26, No. 2, 466–469 (1990); Scholar
  9. 9.
    S. Karpushkin, A. Glebov, and S. Karpov, Calculation of equivalent magnetic permeability of ferromagnetic materials for modeling of three-dimensional eddy current fields, MATEC Web Conf. (2017); Scholar
  10. 10.
    A. Candeo, C. Ducassy, P. Bocher, and F. Dughiero, Multiphysics modeling of induction hardening of ring gears for the aerospace industry, IEEE Trans. Magn., 47, No. 5, 918−921 (2011).CrossRefGoogle Scholar
  11. 11.
    P. G. Romankov, V. F. Frolov, O. M. Flisyuk, and M. I. Kurochkina, Methods for Calculating Processes and Apparatuses of Chemical Technology [in Russian], Khimiya, Leningrad (1988).Google Scholar
  12. 12.
    A. O. Glebov, S. V. Karpov, S. V. Karpushkin, and M. N. Krasnyanskii, Development and investigation of mathematical models of a system for automatic control over the temperature of heating plates of a vulcanizing press to fabricate rubber technical goods, Prib. Sist. Upravl. Kontrol′ Diagnostika, No. 11, 33−44 (2013).Google Scholar
  13. 13.
    A. O. Glebov, S. V. Karpov, and S. V. Karpushkin, A comparison of modeling techniques for temperature fields of inductive heating plates, Autom. Remote Control, 75, No. 6, 1120−1129 (2014).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • A. O. Glebov
    • 1
  • S. V. Karpov
    • 1
  • S. V. Karpushkin
    • 1
    Email author
  • E. N. Malygin
    • 1
  1. 1.Tambov State Technical UniversityTambovRussia

Personalised recommendations