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基于大M法的MILP的风电区间可优化和可调节的安全约束机组组合
摘    要:不同于现有的鲁棒机组组合,本章提出了基于大M法的MILP的风电区间可优化和可调节的安全约束机组组合。含大规模风电接入的电网,其所能消纳的风电出力区间受到电网备用容量和线路传输功率两方面约束。本文提出设置最优弃风限制以确定安全风电出力区间,保证电网备用容量充裕且各条线路的传输功率不越限。在算法上,基于大M法将初始风电出力...

关 键 词:大M法  安全约束机组组合  鲁棒优化  混合整数线性规划  可优化和可调节的风电区间

Big-M based MILP method for SCUC considering allowable wind power output interval and its adjustable conservativeness
Liudong Zhang,Qibing Zhang,Haifeng Fan,Haiwei Wu,Chunlei Xu. Big-M based MILP method for SCUC considering allowable wind power output interval and its adjustable conservativeness[J]. Global Energy Interconnection, 2021, 4(2): 193-203. DOI: 10.1016/j.gloei.2021.05.001
Authors:Liudong Zhang  Qibing Zhang  Haifeng Fan  Haiwei Wu  Chunlei Xu
Affiliation:State Grid Jiangsu Electric Power Company,LTD.,Nanjing 210024,P.R.China
Abstract:In contrast to most existing works on robust unit commitment (UC), this study proposes a novel big-M-based mixed-integer linear programming (MILP) method to solve security-constrained UC problems considering the allowable wind power output interval and its adjustable conservativeness. The wind power accommodation capability is usually limited by spinning reserve requirements and transmission line capacity in power systems with large-scale wind power integration. Therefore, by employing the big-M method and adding auxiliary 0-1 binary variables to describe the allowable wind power output interval, a bilinear programming problem meeting the security constraints of system operation is presented. Furthermore, an adjustable confidence level was introduced into the proposed robust optimization model to decrease the level of conservatism of the robust solutions. This can establish a trade-off between economy and security. To develop an MILP problem that can be solved by commercial solvers such as CPLEX, the big-M method is utilized again to represent the bilinear formulation as a series of linear inequality constraints and approximately address the nonlinear formulation caused by the adjustable conservativeness. Simulation studies on a modified IEEE 26-generator reliability test system connected to wind farms were performed to confirm the effectiveness and advantages of the proposed method.
Keywords:Big-M method  Security-constrained unit commitment  Robust optimization  Mixed-integer linear programming  Allowable wind power output interval  Adjustable conservativeness
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