TY - JOUR

T1 - A novel multi-surrogate multi-objective decision-making optimization algorithm in induction heating

AU - Baldan, Marco

AU - Nikanorov, Alexandre

AU - Nacke, Bernard

PY - 2020/1/7

Y1 - 2020/1/7

N2 - Purpose: Most of optimal design or control engineering problems present conflicting objectives that need to be simultaneously minimized or maximized. Often, however, it is a priori known that some functions have greater importance than other. This paper aims to present a novel multi-surrogate, multi-objective, decision-making (DM) optimization algorithm, which is suitable for time-consuming simulations. Its performances have been compared, on the one hand with a standard decision-making algorithm (iTDEA), on the other with a self-adaptive evolutionary algorithm (AMALGAM*). The comparison concerns numerical tests and an optimal control task in induction heating. Design/methodology/approach: In particular, the algorithm makes use of surrogates (meta-models) to concentrate the field evaluations at the most promising areas of the design space. The effect of the decision-maker is instead to drive the search to given regions of the Pareto front. The synergy between surrogates and the decision-maker leads to a greater effectiveness of the optimization search. For the field analysis of the optimal control task, a coupled electromagnetic-thermal FEM model has been developed. Findings: The novel algorithms outperform both iTDEA and AMALGAM* in all done tests. Practical implications: The algorithm could be applied to other computationally intensive multi-objective real-life problems whenever a preference between the objectives is known. Originality/value: The combination of surrogates and a decision-maker is beneficial with time-consuming multi-objective optimization problems.

AB - Purpose: Most of optimal design or control engineering problems present conflicting objectives that need to be simultaneously minimized or maximized. Often, however, it is a priori known that some functions have greater importance than other. This paper aims to present a novel multi-surrogate, multi-objective, decision-making (DM) optimization algorithm, which is suitable for time-consuming simulations. Its performances have been compared, on the one hand with a standard decision-making algorithm (iTDEA), on the other with a self-adaptive evolutionary algorithm (AMALGAM*). The comparison concerns numerical tests and an optimal control task in induction heating. Design/methodology/approach: In particular, the algorithm makes use of surrogates (meta-models) to concentrate the field evaluations at the most promising areas of the design space. The effect of the decision-maker is instead to drive the search to given regions of the Pareto front. The synergy between surrogates and the decision-maker leads to a greater effectiveness of the optimization search. For the field analysis of the optimal control task, a coupled electromagnetic-thermal FEM model has been developed. Findings: The novel algorithms outperform both iTDEA and AMALGAM* in all done tests. Practical implications: The algorithm could be applied to other computationally intensive multi-objective real-life problems whenever a preference between the objectives is known. Originality/value: The combination of surrogates and a decision-maker is beneficial with time-consuming multi-objective optimization problems.

KW - Finite element analysis

KW - Induction heating

KW - Multiobjective optimization

KW - Optimal control

UR - http://www.scopus.com/inward/record.url?scp=85077588933&partnerID=8YFLogxK

U2 - 10.1108/COMPEL-05-2019-0222

DO - 10.1108/COMPEL-05-2019-0222

M3 - Article

VL - 39

SP - 144

EP - 157

JO - COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

JF - COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

SN - 0332-1649

IS - 1

ER -