Multi-objective optimisation of induction heaters design based on numerical coupled field analysis

Abstract

The main goal of the researches is the application of different optimisation methods and numerical techniques to multi-objective optimisation of design of industrial induction heating installations. The multi-objective optimisation problem is mathematically formulated in terms of the most important optimisation criteria, e.g., temperature uniformity and energy efficiency. Non-dominated sorting genetic algorithm and alternance method of optimal control theory are applied as effective tools for the practice-oriented problems solutions based on nonlinear coupled electromagnetic and temperature field analysis. Optimisation procedures are tested and investigated for induction heating of a graphite disc and an aluminium cylindrical billet. The developed optimisation procedures are planned to be applied to wide range of real-life industrial problems of optimal design and control of electromagnetic devices and systems

Design concepts of induction mass heating technology based on multiple-criteria optimization

“…Finally, it leads to the global optimal solution that cannot be improved even theoretically. This optimization strategy has been described in many publications COMPEL 36,2 (Rapoport, 2000;Rapoport andPleshivtseva, 2007, 2012b;Pleshivtseva and Rapoport, 2009) and has been applied to the solution of the formulated multi-objective optimization problem (Pleshivtseva et al, 2014).…”

“…The paper describes main ideas and results of the research activities carried out by the authors during past years in the field of multiple-criteria optimization of induction heaters' design based on numerical coupled electromagnetic and temperature field analysis (Pleshivtseva et al, 2014;Di Barba et al, 2013).…”

Numerical analysis of computational models for induction heat treatment of complex geometrical parts

“…An example is provided in Pleshivtseva et al (2014), which deals with the multiphysics problem of optimally heating billets prior to forming. The system that is considered does not possess a unique optimum, so that the objective space features a Pareto front.…”

Field models of induction heating for industrial applications

“…Nevertheless, there is a lack of problems specifically focused on induction heating devices, as far as numerical modelling is concerned. More generally, in the past some benchmarks of induction heating was proposed, but the attention was focused rather on the inverse problem [3]- [7] related to the optimal design of the power inductor than on the direct problem of field analysis [8], [9]. In fact, in computational induction heating, analysis problems are challenging because they involve different physical domains; therefore, the development of non-linear coupledfield models and the consequent choice of suitable solvers is mandatory [8]- [10].…”