An Adjustable Robust Economic Energy and Reserve Dispatch Problem Incorporating Large-Scale Wind Farms

被引:5
作者
Khorramdel, Hossein [1 ]
Gitizadeh, Mohsen [1 ]
Chung, Chi Yung [2 ]
Othman, Muhammad Murtadha [3 ]
Alhelou, Hassan Haes [4 ]
机构
[1] Shiraz Univ Technol, Dept Elect & Elect Engn, Shiraz 7155713876, Iran
[2] Hong Kong Polytech Univ, Dept Elect Engn, Hong Kong, Peoples R China
[3] Univ Teknol MARA, Coll Engn, Sch Elect Engn, Shah Alam 40450, Selangor, Malaysia
[4] Monash Univ, Dept Elect & Comp Syst Engn, Clayton, Vic 3800, Australia
关键词
Uncertainty; Power system stability; Correlation; Optimization; Load modeling; Costs; Wind farms; Canonical vine copula; renewable energy sources; robust optimization; wind power uncertainty; CONSTRAINED UNIT COMMITMENT; STOCHASTIC SECURITY; DISTRIBUTION MODEL; POWER; OPTIMIZATION; UNCERTAINTY; GENERATION; DEPENDENCE; OPERATION; LOAD;
D O I
10.1109/ACCESS.2022.3190070
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The integration of large-scale wind farms creates significant uncertainty and remarkable technical challenges for power systems due to their intermittency. Comprehensive wind power dependence structure modeling is essential for uncertainty management in the optimal operation of modern power systems with many wind farms. This paper presents an efficient adjustable robust optimization framework by which the complex dependence structure of wind farms can be modeled in energy and reserve dispatch problems. Efficient dependence structure modeling and its incorporation in wind generation and reserve dispatch scheduling can avoid wind curtailment and load shedding incidents. The proposed approach utilizes a canonical vine copula as a flexible and appropriate statistical model to consider both the joint and conditional distributions of any number of wind farms. The results of the suggested canonical vine copula-based dependence structure modeling are then utilized as efficient inputs for the presented adjustable robust economic energy and reserve dispatch problem. The suggested approach is examined on the IEEE 118-bus system, and simulation results demonstrate that the proposed methodology by efficient dependence structure modeling is effective and also show the effect of the wind power correlation level on the total cost.
引用
收藏
页码:73969 / 73987
页数:19
相关论文
共 41 条
[1]  
[Anonymous], 2014, J OPER AUTOM POWER E
[2]   Robust convex optimization [J].
Ben-Tal, A ;
Nemirovski, A .
MATHEMATICS OF OPERATIONS RESEARCH, 1998, 23 (04) :769-805
[3]   Robust solutions of Linear Programming problems contaminated with uncertain data [J].
Ben-Tal, A ;
Nemirovski, A .
MATHEMATICAL PROGRAMMING, 2000, 88 (03) :411-424
[4]   Robust solutions of uncertain linear programs [J].
Ben-Tal, A ;
Nemirovski, A .
OPERATIONS RESEARCH LETTERS, 1999, 25 (01) :1-13
[5]   The price of robustness [J].
Bertsimas, D ;
Sim, M .
OPERATIONS RESEARCH, 2004, 52 (01) :35-53
[6]   Adaptive Robust Optimization for the Security Constrained Unit Commitment Problem [J].
Bertsimas, Dimitris ;
Litvinov, Eugene ;
Sun, Xu Andy ;
Zhao, Jinye ;
Zheng, Tongxin .
IEEE TRANSACTIONS ON POWER SYSTEMS, 2013, 28 (01) :52-63
[7]   Market-clearing with stochastic security - Part I: Formulation [J].
Bouffard, F ;
Galiana, FD ;
Conejo, AJ .
IEEE TRANSACTIONS ON POWER SYSTEMS, 2005, 20 (04) :1818-1826
[8]   Stochastic security for operations planning with significant wind power generation [J].
Bouffard, Francois ;
Galiana, Francisco D. .
IEEE TRANSACTIONS ON POWER SYSTEMS, 2008, 23 (02) :306-316
[9]  
Brechmann EC, 2013, J STAT SOFTW, V52
[10]   Maximum likelihood estimation of mixed C-vines with application to exchange rates [J].
Czado, Claudia ;
Schepsmeier, Ulf ;
Min, Aleksey .
STATISTICAL MODELLING, 2012, 12 (03) :229-255