A hybrid methodology for fuzzy optimization of electromagnetic devices

Frederico G. Guimarães*, Felipe Campelo, Rodney R. Saldanha, Jaime A. Ramírez

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

Typical formulations for fuzzy optimization utilize piecewise linear membership functions, which introduces regions of no differentiability and prevents the employment of deterministic methods. We propose the utilization of continuously differentiable membership functions, which permit the use of gradient-based methods. We present a general expression for the gradient of the decision degree function. Then, a stochastic method can be used to find a good starting point for the deterministic technique, in a hybrid approach. The formulation is applied to the optimization of an electrostatic micromotor. The average torque is maximized subject to a fuzzy constraint for the torque ripple. The results show the validity of the methodology in electromagnetic design.

Original languageEnglish
Pages (from-to)1744-1747
Number of pages4
JournalIEEE Transactions on Magnetics
Volume41
Issue number5
DOIs
Publication statusPublished - 1 May 2005

Keywords

  • Electromagnetic design
  • Fuzzy optimization

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