中国电力 ›› 2014, Vol. 47 ›› Issue (2): 42-47.DOI: 10.11930/j.issn.1004-9649.2014.2.42.5

• 电网 • 上一篇    下一篇

基于递归子问题树法的含DG配电网最优孤岛搜索

倪程捷1, 房鑫炎1, 胡子珩2, 黄媚2   

  1. 1. 上海交通大学 电子信息与电气工程学院,上海 200240;
    2. 深圳供电局有限公司,广东 深圳 518001
  • 收稿日期:2013-12-13 出版日期:2014-02-28 发布日期:2015-12-18
  • 作者简介:倪程捷(1988-),男,江苏苏州人,硕士研究生,从事电力系统优化运行与微网研究。E-mail: howerd_ni_campus@126.com

Optimal Island Search of Distribution Network with DGs Based on Recursive Sub-Problem Tree Algorithm

NI Cheng-jie1, FANG Xin-yan1, HU Zi-heng2, HUANG Mei2   

  1. 1. School of Electronic Information and Electrical Engineering, Shanghai Jiaotong University, Shanghai 200240, China;
    2. Shenzhen Power Supply Company, Shenzhen 518001, China
  • Received:2013-12-13 Online:2014-02-28 Published:2015-12-18

摘要: 配电网发生大面积停电时,单个或几个分布式电源形成孤岛是保障重要负荷、提高系统可靠性的重要手段。为此,提出将孤岛搜索问题转化为若干个祖先约束背包问题(PCKP),在配电网树模型中直接引入离散可卸负荷,利用基于子问题树的递归算法求解得到初始孤岛;并对初始孤岛进行校验和融合,形成最优孤岛方案。校验中考虑了孤岛的潮流、电压和电压稳定约束。该算法能同时兼顾连通性和最优性,形成的孤岛能有效保障重要负荷不失电,且复杂度只与节点数呈线性关系。通过算例证明了该算法的有效性。

关键词: 配电网, 最优孤岛搜索, 分布式发电, 祖先约束背包问题(PCKP), 子问题树, 递归

Abstract: Islanding, by which single or several distributed generators(DG) can be incorporated in an island, is an important measure to keep power continuity and improve reliability of the power system when blackout occurs in vast areas. It is proposed in this paper to transform the island search problem into several precedence-constrained knapsack problems(PCKPs). A discrete load-shedding scheme is introduced directly into grid model. To solve PCKPs, a recursive algorithm based on sub-problem tree is applied to acquire initial island plan and the optimal island search scheme is presented after merger and verification. During the verification, the power flow, voltage and voltage stability restriction are considered. The algorithm combines the connectivity and optimality, and its complexity is only in linear correlation with the node number. The effectiveness of the proposed strategy is verified by the simulation results of several actual distribution grids.

Key words: distribution network, optimal island search, distributed generation, precedence-constrained knapsack problem(PCKP), sub-problem tree, recursion

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