中国电力 ›› 2019, Vol. 52 ›› Issue (8): 45-54.DOI: 10.11930/j.issn.1004-9649.201806152

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基于直流潮流的发输电系统区间负荷N-K事故计算

洪绍云1, 邢海军2, 程浩忠3   

  1. 1. 国网江西省电力有限公司建设分公司, 江西 南昌 330000;
    2. 上海电力学院, 上海 200090;
    3. 电力传输与功率变换控制教育部重点实验室(上海交通大学), 上海 200240
  • 收稿日期:2018-07-03 修回日期:2018-12-13 发布日期:2019-08-14
  • 通讯作者: 洪绍云(1983-),男,通信作者,博士,从事电力系统优化计算、综合能源系统建模及其应用、电力市场等研究,E-mail:ecjtuh@163.com
  • 作者简介:邢海军(1979-),男,博士,从事配电网规划运行、智能电网、综合能源系统等研究,E-mail:xinghj-601@126.com;程浩忠(1962-),男,教授,从事电力系统系统、电压稳定、电能质量等研究,E-mail:hzcheng@sjtu.edu.cn
  • 基金资助:
    国家重点研发计划资助项目(2016YB0900102)。

Evaluation of Interval Load N-K Contingency of Power System Based on DC Power Flow

HONG Shaoyun1, XING Haijun2, CHENG Haozhong3   

  1. 1. Construction Branch of State Grid Jiangxi Electric Power Co. Ltd., Nanchang 330000, China;
    2. Shanghai University of Electric Power, Shanghai 200090, China;
    3. Key Laboratory of Control of Power Transmission and Conversion of Ministry of Education, Shanghai Jiao Tong University, Shanghai 200240, China
  • Received:2018-07-03 Revised:2018-12-13 Published:2019-08-14
  • Supported by:
    This work is supported by National Key Research and Development Plan of China (No.2016YB0900102).

摘要: 从严格数学角度研究了基于直流潮流的发输电系统区间负荷K个元件事故评估。区间负荷N-K事故场景非常多,首先从优化角度建立了区间负荷N-K最好状态和最坏状态最小切负荷模型,其中最坏状态模型是典型的双层优化模型,上层决策变量是机组、线路和负荷状态,下层模型是直流潮流的最小切负荷模型。然后,使用强对偶理论和数学等效化简方法,把系统N-K区间负荷最坏状态最小切负荷双层优化模型转化为混合整数线性规划模型,该模型可使用成熟优化软件求解。最后,使用IEEE标准算例,测试了考虑区间负荷、机组和线路(或变压器)故障的区间负荷N-K事故最坏状态评估模型,测试结果显示了本文所提方法的有效性和可行性。

关键词: 区间负荷, NK事故, 切负荷, 双层线性规划, 混合整数线性规划

Abstract: From the rigorous mathematical point of view,this paper evaluate K components of contingencies for generation and transmission system,which based on DC power flow system. There are many N-K contingent scenarios of interval load. In this paper, the optimal state and the minimum state with minimum load model of the N-K interval load are established from the optimization perspective. According to this, a bi-level optimization model is proposed for minimum load shedding of the worst state of power system considering generating unit contingency and interval load. The upper decision variables of the model is the state of units, lines and loads. The lower layer of the bi-level model is the minimum load shedding model based on DC power flow. In order to solve this model, the papers transforms the bi-level model to a mixed integer linear programming (MILP) by strong duality theory and linearized method. Finally, An IEEE standard system is used to testify the validity of the proposed model, in which the worst N-K case evaluation model of interval loads, units and lines (or transformers) faults are fully tested. Numerical results indicate that the method proposed in this paper is feasible and effective.

Key words: interval load, NK contingency, load shedding, bi-level linear optimization, mixed integer linear programming

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