Optimization of Economic Load Dispatch Problem for Quadratic Fuel Cost Function with Prohibited Operating Zones

Title & Authors
Optimization of Economic Load Dispatch Problem for Quadratic Fuel Cost Function with Prohibited Operating Zones
Lee, Sang-Un;

Abstract
This paper proposes a deterministic optimization algorithm to solve economic load dispatch problem with quadratic convex fuel cost function. The proposed algorithm primarily partitions a generator with prohibited zones into multiple generators so as to place them afield the prohibited zone. It then sets initial values to $\small{P_i{\leftarrow}P_i^{max}}$ and reduces power generation costs of those incurring the maximum unit power cost. It finally employs a swap optimization process of $\small{P_i{\leftarrow}P_i-{\beta}}$, $\small{P_j{\leftarrow}P_j+{\beta}}$ where $\small{_{max}\{F(P_i)-F(P_i-{\beta})\}}$ > $\small{_{min}\{F(P_j+{\beta})-F(P_j)\}}$, $\small{i{\neq}j}$, ${\beta} Keywords Economic Load Dispatch;Optimization;Balance;Swap;Prohibited Operating Zones; Language Korean Cited by References 1. R. Goncalves, C. Almeida, J. Kuk, and M. Delgado, "Solving Economic Load Dispatch Problem by Natural Computing Intelligent Systems," 15th International Conference on Intelligent System Applications to Power Systems (ISAP), pp. 1-6, 8-12, Nov. 2009, doi:10.1109 /ISAP.2009.5352843. 2. S. Coelho and V. C. Mariani, "Combining of Chaotic Differential Evolution and Quadratic Programming for Economic Dispatch Optimization with Valve-Point Effect," IEEE Trans. on Power Systems, Vol. 21, No. 2, 2006, doi:10.1109/TPWRS.2006.873410. 3. A. Pereira-Neto, C. Unsihuay and O. R. Saavedra, "Efficient Evolutionary Strategy Optimisation Procedure to Solve the Non-convex Economic Dispatch Problem with Generator Constraints," IEEE Proceeding on General Transmission and Distribution, Vol. 152, No. 5, pp. 653-660, 2005, doi:10.1049/ip-gtd:20045287. 4. Z. L. Gaing, "Particle Swarm Optimization to Solving the Economic Dispatch Considering the Generator Constraints," IEEE Trans. on Power System, Vol. 18, No. 3, pp. 1187-1195, 2003, doi:10.1109/TPWRS.2003.814889. 5. C. T. Su and C. T. Lin, "New Approach with a Hopfield Modeling Framework to Economic Dispatch," IEEE Trans. on Power System, Vol. 15, No. 2, pp. 541-545, May 2000, doi:10.1109/59.867138. 6. B. Shaw, S. Ghoshal, V. Mukherjee, and S. P. Ghoshal, "Solution of Economic Load Dispatch Problems by a Novel Seeker Optimization Algorithm," International Journal of Electrical Engineering and Informatics, Vol. 3, No. 1, pp. 26-41, Mar. 2011. 7. T. Adhinarayanan and M. Sydulu, "Efficient Lamda Logic Based Optimisation Procedure to Solve the Large Scale Generator Constrained Economic Dispatch Problem," Journal of Electrical Engineering & Technology, Vol. 4, No. 3, pp. 301-309, 2009, doi:10.5370/JEET.2009.4.3.301. 8. M. Sydulu, "A Very Fast and Effective Non-iterative "$\lambda\$-Logic Based" Algorithm for Economic Dispatch of Thermal Units," Proc. IEEE Conference on TENCON, pp. 1434-1437, 1999, doi:10.1016/j.ijepes.2009.11.002.

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