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Geometric programming technique to optimize power distribution system

Author

Listed:
  • R. R. Ota

    (Institute of Technical Education and Research)

  • J. C. Pati

    (C.V. Raman College of Engineering)

  • A. K. Ojha

    (IIT Bhubaneswar)

Abstract

Geometric programming is an important tool for solving certain optimization problems. In this paper, multi objective geometric programming with $$\epsilon $$ ϵ -constraint method is used to find the maximum radius of a circular power supply substation to supply power in a particular region. The main aim of the proposed method is to formulate a mathematical model for the efficient distribution of the power supply to maximum area from a circular substation with least investment and minimum waste. The proposed multi-objective optimization model has been solved to generate Pareto optimal solutions using weighted sum method. The results so obtained have been compared with that of $$\epsilon $$ ϵ -constraint method by considering suitable numerical examples.

Suggested Citation

  • R. R. Ota & J. C. Pati & A. K. Ojha, 2019. "Geometric programming technique to optimize power distribution system," OPSEARCH, Springer;Operational Research Society of India, vol. 56(1), pages 282-299, March.
    • Handle: RePEc:spr:opsear:v:56:y:2019:i:1:d:10.1007_s12597-019-00363-6
    DOI: 10.1007/s12597-019-00363-6
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    References listed on IDEAS

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    1. Elmor Peterson, 2001. "The Fundamental Relations between Geometric Programming Duality, Parametric Programming Duality, and Ordinary Lagrangian Duality," Annals of Operations Research, Springer, vol. 105(1), pages 109-153, July.
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