A Trilevel Programming Approach to Solve Reactive Power Dispatch Problem Using Genetic Algorithm Based Fuzzy Goal Programming

  • Papun Biswas
  • Bijay Baran Pal
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 248)


This article demonstrates how trilevel programming (TLP) in a hierarchical decision structure can be efficiently used for modeling and solving reactive power dispatch (RPD) problems of electrical power system by using genetic algorithms (GAs) in the framework of fuzzy goal programming (FGP) in uncertain environment. In the proposed approach, various objectives associated with a RPD problem are considered at three hierarchical levels in a planning horizon. In the solution process, a GA scheme is employed to obtain the individual values of objectives and thereby to evaluate the developed FGP model to reach a solution for optimal RPD decision. The proposed approach is tested on the standard IEEE 6-Generator 30-Bus System.


Fuzzy goal programming Genetic algorithm L-index Reactive power dispatch Trilevel programming Voltage profile 


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Department of Electrical EngineeringJIS College of EngineeringKalyani, NadiaIndia
  2. 2.Department of MathematicsUniversity of KalyaniNadiaIndia

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