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Title: Mathematical modelling of the dynamic characteristics of induction heating systems
Author: Williams, J. P.
Awarding Body: University College of Swansea
Current Institution: Swansea University
Date of Award: 1991
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Induction furnaces provide a cost effective, easily controlled means of heating any electrically conductive load by the process of electromagnetic induction. Such furnaces can be more efficient than their fossil fuel equivalents but rising electricity costs have led both the equipment manufacturers and users to demand even higher efficiencies. The research described in this thesis has therefore been undertaken to improve the mathematical analysis with the ultimate aim of developing more rigorous design methodologies. Studies of the mathematical equations describing the energy transfer within the furnace concluded that, due to the complexities involved in predicting magnetic flux distributions, a numerical technique must be used for their solution. The finite element method was identified as the most suitable technique but no package suitable for induction furnaces is commercially available. It was also concluded that full three dimensional analysis would not be viable for most design offices. An existing finite element code (PE2D) used for the analysis of two dimensinal electromagnetic fields was extended to cover the aspects peculiar to induction furnace design. The main development was to enable the solutions of both the magnetic field and the corresponding induced thermal field during transient heating to be obtained. Other developments included such characteristics as non-linear magneto-thermal properties, surface energy losses and optimisation of time step and excitation frequency. The developed models can be applied to two dimensional analysis in a plane normal to conductor coils and also, in some cases, in the plane of a conductor coil. A post-processor was also developed to provide concise graphical output of such information as temperature profiles, magnetic flux distributions and power densities. The models were validated by comparison with analytical examples and by comparison with experimental data obtained with the aid of a fully automated rig capable of three dimensional flux measurements. A future research program has been identified aimed at, firstly, developing the mathematical model to provide a desk top computer design package, and, secondly, extending the experimental work to provide more validation of the code, better material information and supplementary design rules.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available