A novel nonlinearity marginalization technique for effective solution of induction heating problems by cell method

IOP Publishing
Publication Type:
Journal Article
Journal of Physics D: Applied Physics, 2020, 53, (24), pp. 245502-245502
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© 2020 IOP Publishing Ltd. The modelling and analysis of induction heating process is a strongly coupled nonlinear electromagnetic-thermodynamic problem. It is of great theoretical and practical significance to develop an effective numerical technique for solving the coupled nonlinear governing equations. This paper presents a mathematical model of the coupled electromagnetic-thermodynamic fields of induction heating problems, taking into account the nonlinearity due to temperature dependent physical properties and the heat sources due to eddy currents. Due to the temperature dependent nonlinearity, the conventional approach to dynamic problems is to reconstruct the global stiffness matrix for each time step, which increases dramatically the computational burden. A new method is proposed in this paper to reduce the computational burden by modifying the mathematical model to marginalize the nonlinearity throughout the calculation domain to the external surfaces. This method can effectively reduce the degree of nonlinearity, and simplify efficaciously the calculation process. The proposed model and method are combined with the algebraically formed cell method to analyze the induction heating process of an aluminum cylindrical billet. The calculation results are validated by the 3D finite element analysis.
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