A parallel multi-fidelity optimization approach in induction hardening

Research output: Contribution to journalArticleResearchpeer review

Authors

View graph of relations

Details

Original languageEnglish
Pages (from-to)133-143
Number of pages11
JournalCOMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering
Volume39
Issue number1
Publication statusPublished - 29 Nov 2019

Abstract

Purpose: Reliable modeling of induction hardening requires a multi-physical approach, which makes it time-consuming. In designing an induction hardening system, combining such model with an optimization technique allows managing a high number of design variables. However, this could lead to a tremendous overall computational cost. This paper aims to reduce the computational time of an optimal design problem by making use of multi-fidelity modeling and parallel computing. Design/methodology/approach: In the multi-fidelity framework, the “high-fidelity” model couples the electromagnetic, thermal and metallurgical fields. It predicts the phase transformations during both the heating and cooling stages. The “low-fidelity” model is instead limited to the heating step. Its inaccuracy is counterbalanced by its cheapness, which makes it suitable for exploring the design space in optimization. Then, the use of co-Kriging allows merging information from different fidelity models and predicting good design candidates. Field evaluations of both models occur in parallel. Findings: In the design of an induction heating system, the synergy between the “high-fidelity” and “low-fidelity” model, together with use of surrogates and parallel computing could reduce up to one order of magnitude the overall computational cost. Practical implications: On one hand, multi-physical modeling of induction hardening implies a better understanding of the process, resulting in further potential process improvements. On the other hand, the optimization technique could be applied to many other computationally intensive real-life problems. Originality/value: This paper highlights how parallel multi-fidelity optimization could be used in designing an induction hardening system.

Keywords

    Finite element analysis, Induction heating, Multiphysics, Optimal design, Surrogate optimization

ASJC Scopus subject areas

Cite this

A parallel multi-fidelity optimization approach in induction hardening. / Baldan, Marco; Nikanorov, Alexandre; Nacke, Bernard.
In: COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 39, No. 1, 29.11.2019, p. 133-143.

Research output: Contribution to journalArticleResearchpeer review

Download
@article{ec509471ad7447f396d20c7971890512,
title = "A parallel multi-fidelity optimization approach in induction hardening",
abstract = "Purpose: Reliable modeling of induction hardening requires a multi-physical approach, which makes it time-consuming. In designing an induction hardening system, combining such model with an optimization technique allows managing a high number of design variables. However, this could lead to a tremendous overall computational cost. This paper aims to reduce the computational time of an optimal design problem by making use of multi-fidelity modeling and parallel computing. Design/methodology/approach: In the multi-fidelity framework, the “high-fidelity” model couples the electromagnetic, thermal and metallurgical fields. It predicts the phase transformations during both the heating and cooling stages. The “low-fidelity” model is instead limited to the heating step. Its inaccuracy is counterbalanced by its cheapness, which makes it suitable for exploring the design space in optimization. Then, the use of co-Kriging allows merging information from different fidelity models and predicting good design candidates. Field evaluations of both models occur in parallel. Findings: In the design of an induction heating system, the synergy between the “high-fidelity” and “low-fidelity” model, together with use of surrogates and parallel computing could reduce up to one order of magnitude the overall computational cost. Practical implications: On one hand, multi-physical modeling of induction hardening implies a better understanding of the process, resulting in further potential process improvements. On the other hand, the optimization technique could be applied to many other computationally intensive real-life problems. Originality/value: This paper highlights how parallel multi-fidelity optimization could be used in designing an induction hardening system.",
keywords = "Finite element analysis, Induction heating, Multiphysics, Optimal design, Surrogate optimization",
author = "Marco Baldan and Alexandre Nikanorov and Bernard Nacke",
year = "2019",
month = nov,
day = "29",
doi = "10.1108/COMPEL-05-2019-0221",
language = "English",
volume = "39",
pages = "133--143",
journal = "COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering",
issn = "0332-1649",
publisher = "Emerald Group Publishing Ltd.",
number = "1",

}

Download

TY - JOUR

T1 - A parallel multi-fidelity optimization approach in induction hardening

AU - Baldan, Marco

AU - Nikanorov, Alexandre

AU - Nacke, Bernard

PY - 2019/11/29

Y1 - 2019/11/29

N2 - Purpose: Reliable modeling of induction hardening requires a multi-physical approach, which makes it time-consuming. In designing an induction hardening system, combining such model with an optimization technique allows managing a high number of design variables. However, this could lead to a tremendous overall computational cost. This paper aims to reduce the computational time of an optimal design problem by making use of multi-fidelity modeling and parallel computing. Design/methodology/approach: In the multi-fidelity framework, the “high-fidelity” model couples the electromagnetic, thermal and metallurgical fields. It predicts the phase transformations during both the heating and cooling stages. The “low-fidelity” model is instead limited to the heating step. Its inaccuracy is counterbalanced by its cheapness, which makes it suitable for exploring the design space in optimization. Then, the use of co-Kriging allows merging information from different fidelity models and predicting good design candidates. Field evaluations of both models occur in parallel. Findings: In the design of an induction heating system, the synergy between the “high-fidelity” and “low-fidelity” model, together with use of surrogates and parallel computing could reduce up to one order of magnitude the overall computational cost. Practical implications: On one hand, multi-physical modeling of induction hardening implies a better understanding of the process, resulting in further potential process improvements. On the other hand, the optimization technique could be applied to many other computationally intensive real-life problems. Originality/value: This paper highlights how parallel multi-fidelity optimization could be used in designing an induction hardening system.

AB - Purpose: Reliable modeling of induction hardening requires a multi-physical approach, which makes it time-consuming. In designing an induction hardening system, combining such model with an optimization technique allows managing a high number of design variables. However, this could lead to a tremendous overall computational cost. This paper aims to reduce the computational time of an optimal design problem by making use of multi-fidelity modeling and parallel computing. Design/methodology/approach: In the multi-fidelity framework, the “high-fidelity” model couples the electromagnetic, thermal and metallurgical fields. It predicts the phase transformations during both the heating and cooling stages. The “low-fidelity” model is instead limited to the heating step. Its inaccuracy is counterbalanced by its cheapness, which makes it suitable for exploring the design space in optimization. Then, the use of co-Kriging allows merging information from different fidelity models and predicting good design candidates. Field evaluations of both models occur in parallel. Findings: In the design of an induction heating system, the synergy between the “high-fidelity” and “low-fidelity” model, together with use of surrogates and parallel computing could reduce up to one order of magnitude the overall computational cost. Practical implications: On one hand, multi-physical modeling of induction hardening implies a better understanding of the process, resulting in further potential process improvements. On the other hand, the optimization technique could be applied to many other computationally intensive real-life problems. Originality/value: This paper highlights how parallel multi-fidelity optimization could be used in designing an induction hardening system.

KW - Finite element analysis

KW - Induction heating

KW - Multiphysics

KW - Optimal design

KW - Surrogate optimization

UR - http://www.scopus.com/inward/record.url?scp=85076190824&partnerID=8YFLogxK

U2 - 10.1108/COMPEL-05-2019-0221

DO - 10.1108/COMPEL-05-2019-0221

M3 - Article

AN - SCOPUS:85076190824

VL - 39

SP - 133

EP - 143

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 -

By the same author(s)