Dynamic Economic Dispatch Constrained by Wind Power Weibull Distribution: A Here-and-Now Strategy

Authors: Mostafa A. Elshahed, Magdy M. Elmarsfawy, Hussain M. Zain Eldain

Abstract:

In this paper, a Dynamic Economic Dispatch (DED) model is developed for the system consisting of both thermal generators and wind turbines. The inclusion of a significant amount of wind energy into power systems has resulted in additional constraints on DED to accommodate the intermittent nature of the output. The probability of stochastic wind power based on the Weibull probability density function is included in the model as a constraint; A Here-and-Now Approach. The Environmental Protection Agency-s hourly emission target, which gives the maximum emission during the day, is used as a constraint to reduce the atmospheric pollution. A 69-bus test system with non-smooth cost function is used to illustrate the effectiveness of the proposed model compared with static economic dispatch model with including the wind power.

Keywords: Dynamic Economic Dispatch, StochasticOptimization, Weibull Distribution, Wind Power

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1078032

References:

[1] Warsono, D. J. King, C. S. Özveren and D.A. Bradley, "Economic load dispatch optimization of renewable energy in power system using genetic algorithm," IEEE Power Tech Lausanne, pp. 2174 - 2179, 2007.
[2] R. Doherty, etal, "System operation with a significant wind power penetration," IEEE Power Engineering Society General Meeting, vol.1, pp. 1002 - 1007, 2004.
[3] G. Dany, "Power reserve in interconnected systems with high wind power production," IEEE Porto Power Tech Proceedings, vol.4, pp 10- 13, Sept. 2001.
[4] R. Doherty, O-Malley, "A new approach to quantify reserve demand in systems with significant installed wind capacity," IEEE Trans. on Power Systems, vol. 20, no. 2, May 2005,pp. 587-595.
[5] Vladimiro Miranda, and Pun Sio Hang, "Economic dispatch model with fuzzy wind constraints and attitudes of dispatchers," IEEE Trans. on Power Systems, Vol. 20, No. 4, pp. 2143-2145, November 2005.
[6] Lingfeng Wang and Chanan Singh, "Risk and cost tradeoff in economic dispatch including wind power penetration based on multi-objective mimetic particle swarm optimization," SCI 171, pp. 209-230, Springerlink.
[7] Lingfeng Wang and Chanan Singh, "Balancing risk and cost in fuzzy economic dispatch including wind power penetration based on particle swarm optimization," Electric Power Systems Research Journal, pp. 2623-31, 2008.
[8] R. N. Allan, A. M. L. Da Silva, and R. C. Burchett, "Evaluation methods and accuracy in probabilistic load flow solutions," IEEE Trans. Power App. Syst., vol. PAS-100, pp. 2539-2546, 1981.
[9] P. Zhang and S. T. Lee, "Probabilistic load flow computation using the method of combined cumulants and Gram-Charlier expansion," IEEE Trans. on Power Systems, vol. 19, no. 1, pp. 676-682, 2004.
[10] A. Schellenberg, W. Rosehart, and J. Aguado, "Cumulant-based probabilistic optimal power flow (P-OPF) with Gaussian and gamma distributions," IEEE Trans. on Power Systems, vol. 20, no. 2, pp. 773- 781, 2005.
[11] A. Schellenberg, W. Rosehart, and J. Aguado, "Introduction to cumulant-based probabilistic optimal power flow (P-OPF)," IEEE Trans. on Power Systems, vol. 20, no. 2, pp. 1184-1186, 2005.
[12] Xian Liu, "Economic load dispatch constrained by wind power availability: a wait-and-see approach," IEEE Trans. on Smart Grid, vol. 1, no. 3, December 2010.
[13] Xian Liu, and Wilsun Xu, "Economic load dispatch constrained by wind power availability: a here-and-now approach," IEEE Trans. on Sustainable Energy, vol. 1, no. 1, April 2010
[14] Xian Liu, Wilsun Xu, and Changcheng Huang, "Economic load dispatch with stochastic wind power: model and solutions," Transmission and Distribution Conference and Exposition, 2010 IEEE PES, pp 1 - 7, April 2010.
[15] X. Xia and A. M. Elaiw, "Dynamic economic dispatch: a review," Online Journal on Electronics and Electrical Engineering (OJEEE), vol. 2, no. 2.
[16] Xian Liu, and Wilsun Xu, "Minimum emission dispatch constrained by stochastic wind power availability and cost," IEEE Trans. on Power Systems, vol. 25, no. 3, 2010.
[17] C. Palanichamy and Natarajan Sundar Babu, "Day-night weather-based economic power dispatch," IEEE Trans. on Power Systems, vol. 17, no. 2, pp 469- 475, 2002.
[18] Jong-Bae Park, Ki-Song Lee, Joong-Rin Shin, and Kwang Y. Lee, "A particle swarm optimization for economic dispatch with non-smooth cost functions," IEEE Trans. on Power Systems, vol. 20, no. 1, 2005.
[19] Jong-Bae Park, Yun-Won Jeong, Joog-Rin Shin, Kwang Y. Lee, and Jin-Ho Kim, "A hybrid particle swarm optimization employing crossover operation for economic dispatch problems with valve-point effects," Intelligent Systems Applications to Power Systems (ISAP 2007) International Conference, pp 1 - 6, Nov. 2007
[20] M. Basu, "Dynamic economic emission dispatch using non-dominated sorting genetic algorithm-II," Electrical Power and Energy Systems Journal, vol. 30, 2008.
[21] M. A. Abido, "Environmental/economic power dispatch using multiobjective evolutionary algorithms," IEEE Trans. on Power Systems, vol. 18, no. 4, 2003.