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

作　　者：Xiaodong Zheng Baorong Zhou Xiuli Wang Bo Zeng Jizhong Zhu Haoyong Chen Waisheng Zheng 

机构地区：[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

出　　处：《Journal of Modern Power Systems and Clean Energy》2023年第2期489-501,共13页现代电力系统与清洁能源学报（英文）

基　　金：supported by the Guangdong R&D Program in Key Areas (No.2021B0101230004);supported in part by the U.S.National Science Foundation (No.CMMI-1635472);supported by the Key Program of National Natural Science Foundation of China (No.51937005)。

摘　　要：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 quickstart 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.

关 键 词：Unit commitment distributional robustness mixed-integer recourse nested column-and-constraint generation(C&CG) SPARSITY Wasserstein metric 

分 类 号：TM614[电气工程—电力系统及自动化]