Journal of Modern Power Systems and Clean Energy

ISSN 2196-5625 CN 32-1884/TK

Day-ahead Network-constrained Unit Commitment Considering Distributional Robustness and Intraday Discreteness: A Sparse Solution Approach
Author:
Affiliation:

1. School of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, China 2. Electric Power Research Institute of China Southern Power Grid Co., Ltd., Guangzhou 510663, China 3. Shaanxi Key Laboratory of Smart Grid, School of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, China 4. Department of Industrial Engineering, and the Department of Electrical and Computer Engineering, University of Pittsburgh, Pittsburgh, PA 15260, USA 5. School of Electric Power Engineering, South China University of Technology, Guangzhou 510641, China 6. China Southern Power Grid Co., Ltd., Guangzhou 510663, China

Fund Project:

The authors thank Dr. Z. Li and Dr. J. Lyu for their valuable discussions. The work of X. Zheng and B. Zhou was supported by the Guangdong R&D Program in Key Areas (No. 2021B0101230004); the work of B. Zeng was supported in part by the U.S. National Science Foundation (No. CMMI-1635472); and the work of H. Chen was supported by the Key Program of National Natural Science Foundation of China (No. 51937005).

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    Abstract:

    Quick-start generation units are critical devices and flexible resources to ensure a high penetration level of renewable energy in power systems. By considering the wind uncertainty and both binary and continuous decisions of quick-start generation units within the intraday dispatch, we develop a Wasserstein-metric-based distributionally robust optimization model for the day-ahead network-constrained unit commitment (NCUC) problem with mixed-integer recourse. We propose two feasible frameworks for solving the optimization problem. One approximates the continuous support of random wind power with a finite number of events, and the other leverages the extremal distributions instead. Both solution frameworks rely on the classic nested column-and-constraint generation (C&CG) method. It is shown that due to the sparsity of L 1 -norm Wasserstein metric, the continuous support of wind power generation could be represented by a discrete one with a small number of events, and the rendered extremal distributions are sparse as well. With this reduction, the distributionally robust NCUC model with complicated mixed-integer recourse problems can be efficiently handled by both solution frameworks. Numerical studies are carried out, demonstrating that the model considering quick-start generation units ensures unit commitment (UC) schedules to be more robust and cost-effective, and the distributionally robust optimization method captures the wind uncertainty well in terms of out-of-sample tests.

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History
  • Received:June 26,2021
  • Revised:October 27,2021
  • Adopted:
  • Online: March 25,2023
  • Published: