| 引用本文: | 刘 博,陈佳漩,李 江.基于SEM-MIP状态估计的配电网拓扑辨识方法[J].电力系统保护与控制,2024,52(13):69-77.[点击复制] |
| LIU Bo,CHEN Jiaxuan,LI Jiang.SEM-MIP based state estimation for topology identification in a distribution network[J].Power System Protection and Control,2024,52(13):69-77[点击复制] |
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| 摘要: |
| 配电网拓扑辨识是配电系统操作的关键问题和重要前提。由于缺乏足够的量测设备和配电系统拓扑的频繁变化，导致实际的配电网拓扑辨识问题十分具有挑战性。为此提出了基于同步量测数据状态估计的实时拓扑辨识方法。该方法可以利用少量相量测量单元的测量数据准确估计配电网拓扑结构。首先，在配电网中引入结构方程模型(structural equation model, SEM)，用于捕捉拓扑与支路电流的关系。然后，针对拓扑辨识问题提出了混合整数规划(mixed integer programming, MIP)方法，通过复数方程的虚实部解耦，利用泰勒展开与等效松弛等手段对复数方程和约束条件进行线性化。此外，将配电网运行方式约束以节点为单位进行了重新规划。最后，所提基于结构方程模型的混合整数规划方法(SEM-MIP)可以使用现有的商业求解器求解，并通过一个实际12节点配电系统和IEEE 33节点测试系统验证了所提方法的有效性。 |
| 关键词: 拓扑辨识 配电网 结构方程模型 图论 混合整数规划方法 |
| DOI：10.19783/j.cnki.pspc.231654 |
| 投稿时间：2023-12-23修订日期：2024-03-29 |
| 基金项目:国家自然科学基金项目资助(51977030) |
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| SEM-MIP based state estimation for topology identification in a distribution network |
| LIU Bo,CHEN Jiaxuan,LI Jiang |
| (College of Electrical Engineering, Shanghai University of Electric Power, Shanghai 200090, China) |
| Abstract: |
| Distribution network topology identification is a key issue and an important prerequisite for distribution system operation. Because of the lack of sufficient measurement equipment and the frequent changes of distribution system topology, the actual distribution network topology identification problem is a highly challenging one. For this reason, this paper proposes a real-time topology identification method based on state estimation of synchronized measurement data. The proposed method can accurately estimate the topology of the distribution network using measurements from a small number of phasor measurement units. First, a structural equation model (SEM) is introduced in distribution networks to reveal the relationship between topology and branch currents. Then, a mixed integer programming (MIP) method is proposed for the topology identification problem. This decouples the imaginary and real parts of the complex equations, and linearizes the complex equations and constraints by means of Taylor expansion and equivalent relaxation. In addition, the distribution network operation mode constraints are reprogrammed on a node-by-node basis. Finally, the structural equation model-based mixed integer programming (SEM-MIP) method proposed can be solved using existing commercial solvers, and the effectiveness of the method has been verified by a real 12-bus distribution system and the IEEE 33-bus test system. |
| Key words: topology identification distribution network structural equation model graph theory mixed integer programming method |
