Secant Method for Economic Dispatch with Generator Constraints and Transmission Losses

다국어 초록 (Multilingual Abstract)

This paper describes the secant method for solving the economic dispatch (ED) problem with generator constraints and transmission losses. The ED problem is an important optimization problem in the economic operation of a power system. The proposed algorithm involves selection of minimum and maximum incremental costs (lambda values) and then the evaluation of optimal lambda at required power demand is done by secant method. The proposed algorithm has been tested on a power system having 6, 15, and 40 generating units. Studies have been made on the proposed method to solve the ED problem by taking 120 and 200 units with generator constraints. Simulation results of the proposed approach were compared in terms of solution quality, convergence characteristics, and computation efficiency with conventional methods such as lambda iterative method, heuristic methods such as genetic algorithm, and meta-heuristic methods like particle swarm optimization. It is observed from different case studies that the proposed method provides qualitative solutions with less computational time compared to various methods available in the literature.

목차 (Table of Contents)

• Abstract
• 1. Introduction
• 2. Economic Dispatch Problem
• 3. Secant Method for Economic Dispatch Problems
• 4. Case Studies and Simulation Results
• 5. Conclusion
• References

참고문헌 (Reference)

• 1 Lee, FN, "Reserve Constrained Economic Dispatch with Prohibited Zones" 8 (8): 246-, 1993
• 2 A.J. Wood, "Power Generation, Operation and Control" John Wiley & Sons 1984
• 3 Giang, Z.L., "Particle swarm optimization to solving the economic dispatch considering the generator constraints" 18 (18): 1187-1195, 2003
• 4 Giang, Z.L., "Particle swarm optimization to solving dynamic economic dispatch" 2004
• 5 Su, C.T., "New Approach with a Hopfield Modeling Framework to Economic Dispatch" 15 (15): 541-, 2000
• 6 T. Yalcinoz, "Large-scale economic dispatch using an improved Hopfield neural network" 144 (144): 1997
• 7 Chen, P.H., "Large Scale Economic Dispatch by Genetic Algorithm" 10 (10): 1995
• 8 D.B. Fogel, "Evolutionary Computation: Towards a New Philosophy of Machine Intelligence" IEEE Press 2000
• 9 Perera-Neto, "Efficient evolutionary strategy optimization procedure to solve the non convex economic dispatch problem with generator constraints" 152 (152): 653-, 2005
• 10 Shahidehpour, S.M., "Effects of Ramp Rate Limits on Unit Commitment and Economic Load Dispatch" 8 (8): 1341-, 1993
• 11 LK. Kirchmayer, "Economic Operation of Power System" John Wiley Sons Inc. 1958
• 12 Atkinson, "An introduction to Numerical Analysis" John Wiley & Sons
• 13 D. Woodhouse, "A note on the secant method” BIT 15 (1975) 323-327"