Pareto optima and Nash equilibria: An effective approach to the shape design in electromagnetics

• M. Cioff ^[2] ; P. Di Barba ^[1] ; A. Formisano ^[3] ; R. Martone ^[3]
  1. [1] University of Pavia

     University of Pavia

     Pavía, Italia

     
  2. [2] Consorzio C.R.I.S
  3. [3] Università di Napoli

  Mostrar afiliaciones +
• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 27, Nº 4 (Special Issue: ISEF 2007), 2008, págs. 845-854
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • Purpose – This paper seeks to describe an approach to multi‐objective optimization problems (MOOPs) based on game theory (GT) and to provide a comparison with the more standard Pareto approach on a real design problem.

    Design/methodology/approach – The GT is first briefly presented, then a possible recasting of MOOPs in terms of GT is described, where players from GT are associated with single objectives and strategies to the choice of degrees of freedom. A comparison with the Pareto approach is performed on the optimized design of a superconducting synchronous generator.

    Findings – It was shown that the GT can be applied to the optimized design of real world devices, with results that present a different viewpoint on the problem, yet with device performance comparable with those obtained by standard approaches.

    Research limitations/implications – Only the Nash approach to non‐cooperative games has been applied; the conditions for the solution found using GT to belong to the Pareto front have not been fully explored.

    Practical implications – Designers and engineers interested in optimal design are presented with a new design technique able to get a balance among conflicting partial objectives, that can also be used to select among different possible designs obtained in other ways (e.g. using the Pareto front approach).

    Originality/value – The paper demonstrates the possibility of using GT in the design of real world electromagnetic devices, with reference to the optimal shape design of a high temperature superconducting single‐phase synchronous generator.