Open AccessImproved solutions to a TEAM problem for multi‐objective optimisation in magnetics
Author(s) -
Di Barba Paolo,
Mognaschi Maria Evelina,
Lowther David A.,
Sykulski Jan K.
Publication year - 2020
Publication title -
iet science, measurement and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.418
H-Index - 49
eISSN - 1751-8830
pISSN - 1751-8822
DOI - 10.1049/iet-smt.2019.0488
Subject(s) - benchmark (surveying) , mathematical optimization , cuckoo search , genetic algorithm , pareto principle , multi objective optimization , computer science , solenoid , sensitivity (control systems) , mathematics , engineering , particle swarm optimization , electronic engineering , mechanical engineering , geodesy , geography
New solutions to a recently proposed benchmark TEAM problem for Pareto optimisation are presented. In the benchmark, an air‐cored solenoid of small size, which can be used, for example, for magnetic fluid hyperthermia, is considered. Two shape optimisations of the solenoid are proposed in the benchmark: synthesising a uniform magnetic field in a control region, considering also a sensitivity function (Problem 1) or synthesising a uniform magnetic field, simultaneously minimising the power losses (Problem 2). The benchmark is solved by means of three different nature‐inspired algorithms and a genetic one, namely micro biogeography‐inspired algorithm, wind‐driven optimisation, and the cuckoo search, taking the genetic algorithm NSGA‐II as a reference, because all these methods have proven to be effective in solving multi‐objective optimisation problems.