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Energies 2017, 10(3), 326;

A Chance-Constrained Economic Dispatch Model in Wind-Thermal-Energy Storage System

Institute of Water Resources and Hydro-electric Engineering, Xi’an University of Technology, Xi’an 710048, China
State Grid Shaanxi Economic Research Institue, Xi’an 710065, China
State Grid Hubei Electric Economics and Technology Research Institute, Wuhan 430077, China
Department of Mechanical Engineering, University of Texas at Dallas, Richardson, TX 75080, USA
Author to whom correspondence should be addressed.
Academic Editor: Frede Blaabjerg
Received: 22 January 2017 / Revised: 20 February 2017 / Accepted: 2 March 2017 / Published: 8 March 2017
(This article belongs to the Section Electrical Power and Energy System)
PDF [1740 KB, uploaded 9 March 2017]


As a type of renewable energy, wind energy is integrated into the power system with more and more penetration levels. It is challenging for the power system operators (PSOs) to cope with the uncertainty and variation of the wind power and its forecasts. A chance-constrained economic dispatch (ED) model for the wind-thermal-energy storage system (WTESS) is developed in this paper. An optimization model with the wind power and the energy storage system (ESS) is first established with the consideration of both the economic benefits of the system and less wind curtailments. The original wind power generation is processed by the ESS to obtain the final wind power output generation (FWPG). A Gaussian mixture model (GMM) distribution is adopted to characterize the probabilistic and cumulative distribution functions with an analytical expression. Then, a chance-constrained ED model integrated by the wind-energy storage system (W-ESS) is developed by considering both the overestimation costs and the underestimation costs of the system and solved by the sequential linear programming method. Numerical simulation results using the wind power data in four wind farms are performed on the developed ED model with the IEEE 30-bus system. It is verified that the developed ED model is effective to integrate the uncertain and variable wind power. The GMM distribution could accurately fit the actual distribution of the final wind power output, and the ESS could help effectively decrease the operation costs. View Full-Text
Keywords: economic dispatch; energy storage system; Gaussian mixture model; power system operations; wind power economic dispatch; energy storage system; Gaussian mixture model; power system operations; wind power

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Hu, Y.; Li, Y.; Xu, M.; Zhou, L.; Cui, M. A Chance-Constrained Economic Dispatch Model in Wind-Thermal-Energy Storage System. Energies 2017, 10, 326.

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