A cultural immune system for economic load dispatch with non-smooth cost functions

  • Authors:
  • Richard A. Gonçalves;Carolina P. de Almeida;Myriam R. Delgado;Elizabeth F. Goldbarg;Marco C. Goldbarg

  • Affiliations:
  • Federal Technological University of Paraná, Curitiba, PR, Brazil and UNICENTRO, Guarapuava, PR, Brazil;Federal Technological University of Paraná, Curitiba, PR, Brazil and UNICENTRO, Guarapuava, PR, Brazil;Federal Technological University of Paraná, Curitiba, PR, Brazil;Federal University of Rio Grande do Norte, RN, Brazil;Federal University of Rio Grande do Norte, RN, Brazil

  • Venue:
  • ICARIS'07 Proceedings of the 6th international conference on Artificial immune systems
  • Year:
  • 2007

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Abstract

This paper presents a novel and efficient method for solving economic load dispatch problems with non-smooth cost functions, by combining an Artificial Immune Systems with Cultural Algorithms. The proposed method, called Cultural Immune System, uses a real coded AIS that is derived from the clonal selection principle with a pure aging operator and hypermutation operators based on Gaussian and Cauchy mutations that are guided by four knowledge sources stored in the belief space of a Cultural Algorithm. The Cultural Immune System has a local search stage that is based on a quasi-simplex technique and several points of self-adaptation. Three test systems with thermal units whose fuel cost function takes into account valve-point loading effects are used to validate the proposed method. These test systems constitute complex constrained optimization problems. Firstly, Cultural Immune System is compared with his noncultural counterpart (the same AIS without knowledge sources guiding the hypermutation operators). After that both immune-based methods are compared with state-of-the-art algorithms. The results show that the Cultural Immune System is capable of outperforming other state-of-the-art algorithms in solving load dispatch problems with the valve-point effect.