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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

Liudong Zhang Qibing Zhang Haifeng Fan Haiwei Wu Chunlei Xu

全球能源互联网(英文)2021,Vol.4Issue(2):193-203,11.
全球能源互联网(英文)2021,Vol.4Issue(2):193-203,11.DOI:10.14171/j.2096-5117.gei.2021.02.008

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

Big-M based MILP method for SCUC considering allowable wind power output interval and its adjustable conservativeness

Liudong Zhang 1Qibing Zhang 1Haifeng Fan 1Haiwei Wu 1Chunlei Xu1

作者信息

  • 1. State Grid Jiangsu Electric Power Company,LTD.,Nanjing 210024,P.R.China
  • 折叠

摘要

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.

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

Key words

Big-M method/Security-constrained unit commitment/Robust optimization/Mixed-integer linear programming/Allowable wind power output interval/Adjustable conservativeness

引用本文复制引用

Liudong Zhang,Qibing Zhang,Haifeng Fan,Haiwei Wu,Chunlei Xu..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[J].全球能源互联网(英文),2021,4(2):193-203,11.

基金项目

This research was supported by State Grid Jiangsu Electric Power Co.,Ltd(JF2020001).National Key Technology R&D Program of China(2017YFB0903300)and State Grid Corporation of China(5210EF17001C). (JF2020001)

全球能源互联网(英文)

OACSCDCSTPCDEI

2096-5117

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