An effective non-iterative “λ-logic based” algorithm for economic dispatch of generators with cubic fuel cost function

Abstract This paper presents a very fast and effective non-iterative “λ-logic based” algorithm for economic dispatch (ED) with cubic cost function of thermal units. Representation of generator fuel cost curves by polynomials in real-time economic dispatch is standard practice in the industry and it shows a great influence on the accuracy of the economic dispatch solution. As the proposed approach is a direct or non-iterative method, it does not demand any initial guess values for ED of units for given demand (PD). Many of the existing conventional methods fail to impose p-limits at violating units and find difficult in dealing with cubic cost function that reflect nonlinearity of the actual generator response. The proposed method is very efficient for both small and large size of generating units with cubic fuel cost function in the problem and it remarkably reduces the computation time. The proposed algorithm has been tested successfully on three units, five units and 26 units and results are reported in the paper.

[1]  N. Grudinin Combined quadratic-separable programming OPF algorithm for economic dispatch and security control , 1997 .

[2]  Samir Sayah,et al.  Using Evolutionary Computation to Solve the Economic Load Dispatch Problem , 2008 .

[3]  Sakti Prasad Ghoshal,et al.  A novel crazy swarm optimized economic load dispatch for various types of cost functions , 2008 .

[4]  T. Yalcinoz,et al.  Power economic dispatch using a hybrid genetic algorithm , 2001 .

[5]  J. R. McDonald,et al.  Knowledge-based genetic algorithm for unit commitment , 2001 .

[6]  P. Attaviriyanupap,et al.  A Hybrid EP and SQP for Dynamic Economic Dispatch with Nonsmooth Fuel Cost Function , 2002, IEEE Power Engineering Review.

[7]  Young-Hyun Moon,et al.  A new economic dispatch algorithm for thermal unit generation scheduling in power system , 2000, 2000 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.00CH37077).

[8]  Leandro dos Santos Coelho,et al.  Solving economic load dispatch problems in power systems using chaotic and Gaussian particle swarm optimization approaches , 2008 .

[9]  Jan K. Sykulski,et al.  Application of pattern search method to power system valve-point economic load dispatch , 2007 .

[10]  Allen J. Wood,et al.  Power Generation, Operation, and Control , 1984 .

[11]  Manjaree Pandit,et al.  Particle swarm optimization with time varying acceleration coefficients for non-convex economic power dispatch , 2009 .

[12]  Z.-X. Liang,et al.  A zoom feature for a dynamic programming solution to economic dispatch including transmission losses , 1992 .

[13]  Giridhar Kumaran,et al.  Using evolutionary computation to solve the economic load dispatch problem , 2001, Proceedings of the 2001 Congress on Evolutionary Computation (IEEE Cat. No.01TH8546).

[14]  Hoay Beng Gooi,et al.  Dynamic Economic Dispatch: Feasible and Optimal Solutions , 2001 .