Abstract
In electricity markets with strategic bidding of wind power, it is important to handle wind power’s output deviation. In this paper, the scenario where customers in Demand Response (DR) program matches the wind power’s output deviation through strategic bidding is studied, and a stochastic equilibrium model of the electricity market with wind power bidding and demand response bidding is proposed. In this model, linear supply function bidding is applied by both wind power producers and traditional power producers to match power demand in wholesale market. In order to compensate for the wind power’s output deviation, two market models in balancing market for demand response are proposed where supply function bidding and demand function bidding are applied by DR customers to match supply deficit and surplus respectively. Furthermore, the penalty cost for output deviation of the wind power producer is determined by the equilibrium price in balancing market. The equilibrium problems are solved by being reverse-engineered into convex optimization problems and the existence and uniqueness of the Nash equilibrium is theoretically proved. A distributed dual gradient algorithm is further proposed to achieve the equilibrium. Numerical examples are presented to verify the validity of the proposed model and effectiveness of the algorithms.
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References
Huang, M., Wang, X., Zhang, S.: Analysis of an electricity market equilibrium model with penalties for wind power’s bidding deviation. In: Proceedings of the 2015 5th International Conference on Electric Utility Deregulation and Restructuring and Power Technologies (DRPT), pp. 35–40 (2015)
Rodríguez, O., Del Río, J.A., Jaramillo, O.A., Martínez, M.: Wind power error estimation in resource assessments. PLoS ONE 10, e0124830 (2015)
Liu, L., Meng, S., Junji, W.U.: Dynamic economic dispatch based on wind power forecast error interval. Electr. Power Autom. Equip. 9, 013 (2016)
Hu, Y.: A forecasting accuracy improvement method for wind power based on phase and level errors translating and interpolating correction. Power Syst. Technol. 39, 2758–2765 (2015)
Huang, Y., Hu, W., Min, Y., et al.: Risk-constrained coordinative dispatching for large-scale wind-storage system. Autom. Electr. Power Syst. 38(9), 41–47 (2014)
Ju, L., Li, H., Chen, Z., et al.: A benefit contrastive analysis model of multi grid-connected modes for wind power and plug-in hybrid electric vehicles based on two-step adaptive solving algorithm. Power Syst. Technol. 38(6), 1492–1498 (2014)
Wang, J., Lu, J.: Research on optimal operation mode of power generation system doubly driven by wind power and hydraulic power based on equal incremental rate criterion. Power Syst. Technol. 32(9), 80–83 (2008)
Zhang, H., Gao, F., Wu, J., et al.: Dynamic economic dispatching model for power grid containing wind power generation system. Power Syst. Technol. 37(5), 1298–1303 (2013)
Yang, X., Zhou, M., Li, G.: Survey on demand response mechanism and modeling in smart grid. Power Syst. Technol. 40(1), 220–226 (2016)
Zeng, D., Yao, J., Yang, S., et al.: Optimization dispatch modeling for price-based demand response considering security constraints to accommodate the wind power. Proc. CSEE 34(31), 5571–5578 (2014)
Ju, L., Yu, C., Tan, Z.: A two-stage scheduling optimization model and corresponding solving algorithm for power grid containing wind farm and energy storage system considering demand response. Power Syst. Technol. 39(5), 1287–1293 (2015)
Ju, L., Qin, C., Wu, H., et al.: Wind power accommodation stochastic optimization model with multi-type demand response. Power Syst. Technol. 39(7), 1839–1846 (2015)
Mahmoudi, N., Saha, T.K., Eghbal, M.: Modeling demand response aggregator behavior in wind power offering strategies. Appl. Energy 133, 347–355 (2014)
Liuhui, W., Wang, X., Zhang, S.: Electricity market equilibrium analysis for strategic bidding of wind power producer with demand response resource. In: Proceedings of the 2016 IEEE PES Asia-Pacific Power and Energy Engineering Conference (APPEEC), pp. 181–185 (2016)
Li, N., Chen, L., Dahleh, M.A.: Demand response using linear supply function bidding. IEEE Trans. Smart Grid 6, 1827–1838 (2015)
Zhang, X., Yan, K., Lu, Z., Zhong, J.: Scenario probability based multi-objective optimized low-carbon economic dispatching for power grid integrated with wind farms. Power Syst. Technol. 38(7), 1835–1841 (2014)
Chen, X., Yu, Y., Xu, L.: Linear supply function equilibrium with demand side bidding and transmission constrain. Proc. CSEE 24(8), 17–23 (2004)
Cheng, Y.C.: Dual gradient method for linearly constrained, strongly convex, separable mathematical programming problems. J. Optim. Theory Appl. 53(2), 237–246 (1987)
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Zhang, K., Wang, X., Zhang, S. (2017). Equilibrium Analysis of Electricity Market with Wind Power Bidding and Demand Response Bidding. In: Li, K., Xue, Y., Cui, S., Niu, Q., Yang, Z., Luk, P. (eds) Advanced Computational Methods in Energy, Power, Electric Vehicles, and Their Integration. ICSEE LSMS 2017 2017. Communications in Computer and Information Science, vol 763. Springer, Singapore. https://doi.org/10.1007/978-981-10-6364-0_12
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DOI: https://doi.org/10.1007/978-981-10-6364-0_12
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