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Adaptation of the penalty function method to genetic algorithm in electromagnetic devices designing

Łukasz Knypiński (Institute of Electrical Engineering and Electronics, Poznan University of Technology, Poznan, Poland)

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering

ISSN: 0332-1649

Article publication date: 26 June 2019

Issue publication date: 14 August 2019

Abstract

Purpose

The purpose of this paper is to elaborate the effective method of adaptation of the external penalty function to the genetic algorithm.

Design/methodology/approach

In the case of solving the optimization tasks with constraints using the external penalty function, the penalty term has a larger value than the primary objective function. The sigmoidal transformation is introduced to solve this problem. A new method of determining the value of the penalty coefficient in subsequent iterations associated with the changing penalty has been proposed. The proposed approach has been applied to the optimization of an electromagnetic linear actuator, and the mathematical model of the devices contains equations of the magnetic field, by taking into account the nonlinearity of ferromagnetic material.

Findings

The proposed new approach of the penalty function method consists in the reduction of the external penalty function in successive penalty iterations instead of its increase as it is in the classical method. In addition, the method of normalization of constraints during the formulation of optimization problem has a significant impact on the obtained results of optimization calculations.

Originality/value

The proposed approach can be applied to solve constrained optimization tasks in designing of electromagnetic devices.

Keywords

Citation

Knypiński, Ł. (2019), "Adaptation of the penalty function method to genetic algorithm in electromagnetic devices designing", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 38 No. 4, pp. 1285-1294. https://doi.org/10.1108/COMPEL-01-2019-0010

Publisher

:

Emerald Publishing Limited

Copyright © 2019, Emerald Publishing Limited