The optimisation of induction heating system based on multiquadric function approximation

Abstract

Purpose

The investigation of the efficiency of optimisation technique based on approximation of objective function by multiquadric (MQ) function, used for induction heating devices was the aim of the paper.

Design/methodology/approach

The optimisation package based on Matlab language and using Flux2D commercial program for calculation of electromagnetic and thermal fields was built. It allows the use of different optimisation techniques for induction heating devices, e.g. based on MQ function approximation. In the paper two algorithms of approximated points generating have been tested.

Findings

The efficiency of MQ optimisation method strongly depends on the applied algorithm of approximated point generating. To ensure high efficiency of MQ optimisation method, the stochastic element of the algorithm of approximated point generating should have a significant role.

Research limitations/implications

The efficiency of elaborated algorithms of MQ function approximated point generating should be proved in other applications.

Practical implications

The efficient optimisation technique of induction heating devices has been proposed.

Originality/value

The two new algorithms for generation of MQ function approximated points have been proposed. The paper could be useful for designers of induction heating devices.

Citation

Zgraja, J. (2005), "The optimisation of induction heating system based on multiquadric function approximation", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 24 No. 1, pp. 305-313. https://doi.org/10.1108/03321640510571327