Fast Multi-Objective CMODE-Type Optimization of PM Machines Using Multicore Desktop Computers

Alireza Fatemi, Dan M. Ionel, Nabeel A.O. Demerdash, Thomas W. Nehl

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


Large-scale design optimization of electric machines is oftentimes practiced to achieve a set of objectives, such as the minimization of cost and power loss, under a set of constraints, such as maximum permissible torque ripple. Accordingly, the design optimization of electric machines can be regarded as a constrained optimization problem (COP). Evolutionary algorithms (EAs) used in the design optimization of electric machines including differential evolution (DE), which has received considerable attention during recent years, are unconstrained optimization methods that need additional mechanisms to handle COPs. In this paper, a new optimization algorithm that features combined multi-objective optimization with differential evolution (CMODE) has been developed and implemented in the design optimization of electric machines. A thorough comparison is conducted between the two counterpart optimization algorithms, CMODE and DE, to demonstrate CMODE's superiority in terms of convergence rate, diversity and high definition of the resulting Pareto fronts, and its more effective constraint handling. More importantly, CMODE requires a lesser number of simultaneous processing units which makes its implementation best suited for state-of-the-art desktop computers reducing the need for high-performance computing systems and associated software licenses.

Original languageEnglish
Article number7434015
Pages (from-to)2941-2950
Number of pages10
JournalIEEE Transactions on Industry Applications
Issue number4
StatePublished - Jul 1 2016

Bibliographical note

Publisher Copyright:
© 2016 IEEE.


  • Convergence of numerical methods
  • differential evolution (DE)
  • electric machines
  • finite-element methods
  • multi-objective evolutionary algorithms (EAs)
  • optimization methods

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering


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