Application of Weighted Ideal Point Method to Environmental/Economic Load Dispatch

  • Guo-li Zhang
  • Geng-yin Li
  • Hong Xie
  • Jian-wei Ma
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3930)


This paper proposes a novel environmental/economic load dispatch model by considering the fuel cost and emissionfunctions with uncertain co-efficients and the constraints of a ramp rate. The uncertain coefficients are represented by fuzzy numbers, and the model is known as fuzzy dynamic environmental/economic load dispatch (FDEELD) model. A novel weighted ideal point method (WIPM) is developed to solve the FDEELD problem. The FDEELD problem is first converted into a single objective fuzzy nonlinear programming by using the WIPM. A hybrid evolutionary algorithm with quasi-simplex techniques is then used to solve the corresponding single objective optimization problem. A method of disposing constraint and a fuzzy number ranking method are also applied to compare fuzzy weighted objective function values of different points. Experimental results show that FDEELD model is more practical; the algorithm and techniques proposed are efficient to solve FDEELD problems.


Fuzzy Number Pareto Optimal Solution Fuel Cost Independent System Operator Single Objective Optimization Problem 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Guo-li Zhang
    • 1
  • Geng-yin Li
    • 1
  • Hong Xie
    • 2
  • Jian-wei Ma
    • 1
  1. 1.Department of Applied MathematicsNorth China Electric Power UniversityBaodingChina
  2. 2.Department of Electronic EngineeringShanghai Maritime UniversityShanghaiChina

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