中国电力 ›› 2020, Vol. 53 ›› Issue (2): 56-62.doi: 10.11930/j.issn.1004-9649.201808184

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一种考虑PV节点的配电网三相线性潮流计算方法

刘宽1, 王淳1, 尹发根2, 陈宇杰1, 伍惠铖1   

  1. 1. 南昌大学 信息工程学院, 江西 南昌 330031;
    2. 宜春学院 理工学院, 江西 宜春 336000
  • 收稿日期:2018-09-03 修回日期:2019-08-09 出版日期:2020-02-05 发布日期:2020-02-05
  • 作者简介:刘宽(1993-),男,通信作者,硕士研究生,从事电力系统自动化及经济运行研究,E-mail:825105734@qq.com;王淳(1963-),男,博士,教授,从事电力系统规划、优化理论在电力系统中的应用研究,E-mail:cu_wang@126.com
  • 基金资助:
    国家自然科学基金资助项目(51467012)。

A Three-Phase Linear Power Flow Calculation Method for Distribution Networks Considering PV Nodes

LIU Kuan1, WANG Chun1, YIN Fagen2, CHEN Yujie1, WU Huicheng1   

  1. 1. School of Information Engineering, Nanchang University, Nanchang 330031, China;
    2. School of Physical Science and Technology Engineering, Yichun University, Yichun 336000, China
  • Received:2018-09-03 Revised:2019-08-09 Online:2020-02-05 Published:2020-02-05
  • Supported by:
    This work is supported by National Natural Science Foundation of China (No.51467012).

摘要: 为了响应配电系统快速分析的需求,提出了一种考虑PV节点的配电网三相线性潮流计算方法。根据配电网自身的特性,对极坐标形式的节点功率方程中的非线性项进行线性近似处理,并利用导纳矩阵的性质对节点功率方程进行化简,得到一种线性的节点功率方程。基于线性的节点功率方程,建立了一种考虑PV节点的配电网三相线性潮流计算模型。所提线性计算模型不仅考虑了PV节点,还适用于弱环配电网络,通用性较强。最后以牛顿-拉夫逊法潮流计算结果作为基准,通过33节点配电系统算例分析表明:所提方法的计算误差满足配电系统快速分析要求,与现有的线性潮流计算方法相比,具有更高精度。

关键词: PV节点, 配电网, 线性潮流, 节点功率方程, 线性近似, 牛顿-拉夫逊法

Abstract: In order to meet the needs of rapid analysis of distribution system, a three-phase linear power flow calculation method is proposed in this paper for distribution networks with PV nodes. According to the characteristics of the distribution networks, the nonlinear terms in the node power equation in the form of polar coordinates are linearly approximated. And a linear node power equation is obtained by using the properties of the admittance matrix to simplify the node power equation. Based on the linear node power equation, a three-phase linear power flow calculation model is established for the distribution networks considering PV nodes, which not only considers the PV nodes, but also applies to the weak-loop distribution networks, and has a strong universality. Finally, using the calculation results of Newton-Raphson method as a benchmark, a case study is made on a 33-bus distribution system, and the results show that the calculation error of the proposed method meets the requirements for rapid analysis of the distribution system. Compared with the existing linear power flow calculation method, the proposed method has higher accuracy.

Key words: PV node, distribution network, linear power flow, node power equation, linear approximation, Newton-Raphson method