Dynamic Economic Dispatch Constrained by Wind Power Weibull Distribution: A Here-and-Now Strategy
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.
[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.
[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.
@article{"International Journal of Electrical, Electronic and Communication Sciences:60872", author = "Mostafa A. Elshahed and Magdy M. Elmarsfawy and Hussain M. Zain Eldain", title = "Dynamic Economic Dispatch Constrained by Wind Power Weibull Distribution: A Here-and-Now Strategy", 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", volume = "5", number = "8", pages = "1113-6", }
