Robust-stochastic Reserve Optimization Considering Uncertainties of Failure Probability and Net Load

被引:0
作者
Li R. [1 ]
Wang M. [1 ]
Yang M. [1 ]
Wang M. [1 ]
Wang W. [1 ]
机构
[1] Key Laboratory of Power System Intelligent Dispatch and Control, Ministry of Education (Shandong University), Jinan
来源
Dianli Xitong Zidonghua/Automation of Electric Power Systems | 2022年 / 46卷 / 06期
关键词
Failure probability; Renewable energy; Reserve optimization; Robust optimization; Stochastic optimization; Uncertainty;
D O I
10.7500/AEPS20210523001
中图分类号
学科分类号
摘要
The configuration of the reserve is to deal with the uncertainties of possible equipment failures, loads and renewable energy output in the power system. The provision of the adequate reserve for systems is a necessary condition to ensure the safe and economical operation of power systems. In the traditional reserve decision-making methods, the uncertainty of failure probability is ignored in some degrees. Therefore, a robust-stochastic reserve optimization model is proposed to consider the failure probability of equipment and the uncertainty of net load simultaneously. In this model, the net load uncertainty and equipment failure probability uncertainty caused by wind power and load are uniformly described by intervals. And the dual theory, epigraph reformulation and Karush-Kuhn-Tucker (KKT) conditions are adopted to solve the model. Finally, the effectiveness and validity of the proposed method are verified on the IEEE-RTS 24-bus system. © 2022 Automation of Electric Power Systems Press.
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页码:20 / 29
页数:9
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共 29 条
[11]  
BOUFFARD F, GALIANA F D, CONEJO A J., Market-clearing with stochastic security-Part II: case studies, IEEE Transactions on Power Systems, 20, 4, pp. 1827-1835, (2005)
[12]  
BAI J, GOOI H B, XIA L M, Et al., A probabilistic reserve market incorporating interruptible load, IEEE Transactions on Power Systems, 21, 3, pp. 1079-1087, (2006)
[13]  
WANG Zebin, WANG Songyan, CHEN Ying, Et al., Safety probability assessment method considering micro-topography for transmission grid under strong typhoon environment, Electric Power Automation Equipment, 40, 1, pp. 184-191, (2020)
[14]  
ZHAO C Y, JIANG R W., Distributionally robust contingency-constrained unit commitment, IEEE Transactions on Power Systems, 33, 1, pp. 94-102, (2018)
[15]  
ALVARADO D, MOREIRA A, MORENO R, Et al., Transmission network investment with distributed energy resources and distributionally robust security, IEEE Transactions on Power Systems, 34, 6, pp. 5157-5168, (2019)
[16]  
BAGHERI A, ZHAO C Y., Distributionally robust reliability assessment for transmission system hardening plan under N-k security criterion, IEEE Transactions on Reliability, 68, 2, pp. 653-662, (2019)
[17]  
BOYD L, VANDENVERGHE, Convex optimization, (2004)
[18]  
VENKATESH B, YU P, GOOI H B, Et al., Fuzzy MILP unit commitment incorporating wind generators, IEEE Transactions on Power Systems, 23, 4, pp. 1738-1746, (2008)
[19]  
WANG M Q, GOOI H B, CHEN S X., Optimising probabilistic spinning reserve using an analytical expected-energy-not-supplied formulation, IET Generation, Transmission & Distribution, 5, 7, (2011)
[20]  
THIELE A., Robust stochastic programming with uncertain probabilities, IMA Journal of Management Mathematics, 19, 3, pp. 289-321, (2008)