多源数据驱动的中低压配电网通用拓扑辨识框架

doi:10.11930/j.issn.1004-9649.202406068

摘要/Abstract

摘要：

为了提高配电网拓扑的可观察性，构建了一个通用的拓扑辨识框架。该框架包括3种拓扑辨识方法来处理不同的情况。利用节点导纳矩阵的稀疏性特征，提出了一种用于单一拓扑识别的改进三阶段启发式程序。在改进单一拓扑辨识方法的基础上，构建了一种多拓扑辨识模型来处理具有给定拓扑数量的测量数据集。为包含拓扑数量未知的测量数据集设计了一个两阶段程序。通过算例验证了所提模型的有效性。

关键词: 拓扑辨识, 多模型, 配电系统

Abstract:

In order to improve the observability of distribution network topology, this paper constructs a universal topology identification framework. This framework includes three topology identification methods to handle different situations. The first method utilizes the sparsity feature of the node admittance matrix to propose an improved three-stage heuristic program for single topology recognition; The second method, based on the improvement of a single topology identification method, classifies the records in the measurement dataset with a given number of topologies into a fixed number of topology categories, and then determines the node admittance matrix for each topology category. A multi topology identification model is constructed to handle the measurement dataset with a given number of topologies; The third method designs a two-stage program for measurement datasets containing unknown topological quantities, which determines the number of topologies, record classification, and node admittance matrix for a single topology. Finally, two numerical examples were used to verify the effectiveness of the proposed model in identifying distribution network topology under three different topologies.

Key words: topology identification, multiple models, power distribution system

中图分类号:

TM28

朱朝阳, 景栋盛, 李荷婷, 王邑斌, 何平. 多源数据驱动的中低压配电网通用拓扑辨识框架[J]. 中国电力, 2025, 58(5): 137-143.

ZHU Chaoyang, JING Dongsheng, LI Heting, WANG Yibin, HE Ping. A Topology Identification Framework for Medium and Low Voltage Distribution Networks Driven by Multiple Source Data[J]. Electric Power, 2025, 58(5): 137-143.

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链接本文: https://www.electricpower.com.cn/CN/10.11930/j.issn.1004-9649.202406068

https://www.electricpower.com.cn/CN/Y2025/V58/I5/137

图/表 11

图 1 基础模型的实现过程

Fig.1 The implementation procedure of the base model

图 2 拓扑数目未知的数据集的拓扑辨识过程

Fig.2 The topology identification procedure for the data set with an unknown number of topologies

图 3 总体实施框架

Fig.3 The overall implementation framework

图 4 14节点测试系统结构

Fig.4 The structure of the 14-bus test system

图 5 69节点测试系统结构

Fig.5 The structure of the 69-bus test system

图 6 测试场景和测试案例

Fig.6 The test scenarios and test cases

表 1 14节点T1测试系统的单一拓扑辨识结果，标准偏差为0.00001

Table 1 Single-topology identification results of the 14-bus T1 test system with the error standard deviation of 0.00001

记录数量	基础模型				考虑稀疏性的改进模型
记录数量	E₁	E₂	E₃	时间/s	E₁	E₂	E₃	时间/s
1	1.02e-01	6.24e+00	39	11.5	2.68e-01	1.89e+01	32	13.0
5	1.98e-03	1.25e-01	10	12.3	7.44e-02	7.44e+00	18	14.2
10	5.86e-04	6.31e-02	4	11.6	4.80e-04	4.18e-02	0	14.5
15	3.77e-04	1.95e-02	2	11.5	5.83e-04	4.81e-02	0	15.4
20	4.60e-04	3.10e-02	0	11.7	6.36e-04	4.77e-02	0	16.0
30	4.43e-04	3.84e-02	0	11.7	3.11e-04	2.06e-02	0	15.6

表 2 14节点T1测试系统的单一拓扑辨识结果，标准偏差为0.0001

Table 2 Single-topology identification results of the 14-bus T1 test system with the error standard deviation of 0.0001

记录数量	基础模型				考虑稀疏性的改进模型
记录数量	E₁	E₂	E₃	时间/s	E₁	E₂	E₃	时间/s
1	1.02e-01	6.24e+00	39	13.3	2.70e-01	1.89e+01	32	12.9
5	2.75e-02	3.19e+00	38	12.0	1.70e-02	1.16e+00	18	15.0
10	6.41e-03	5.97e-01	28	11.7	4.54e-03	3.47e-01	2	17.3
15	3.10e-03	2.34e-01	22	11.7	5.04e-03	4.42e-01	2	17.5
20	5.85e-03	4.87e-01	26	11.5	6.35e-03	6.54e-01	0	17.6
30	3.99e-03	2.57e-01	24	11.7	1.96e-03	1.39e-01	0	17.8

表 3 69节点T1测试系统的单一拓扑辨识结果，标准偏差为0.0001

Table 3 Single-topology identification results of the 69-bus T1 test system with the error standard deviation of 0.0001

记录数量	基础模型				考虑稀疏性的改进模型
记录数量	E₁	E₂	E₃	时间/s	E₁	E₂	E₃	时间/s
1	1.36e-01	2.08e+02	273	21.9	4.19e-01	2.06e+02	265	21.5
10	3.95e-02	8.67e+01	160	19.3	1.73e-02	4.19e+01	10	80.2
30	7.68e-04	1.87e+00	34	20.6	6.17e-04	1.45e+00	2	52.8
50	1.24e-03	3.14e+00	16	26.1	6.46e-04	1.69e+00	2	69.7
80	2.31e-04	5.67e-01	8	26.7	1.51e-04	5.57e-01	0	75.4
100	1.14e-04	2.67e-01	6	27.5	3.72e-05	7.59e-02	0	73.9

图 7 不同的误差标准偏差下的14节点测试系统的结果

Fig.7 Results of the 14-bus test system with different error standard deviation values

图 8 矩阵A在第二次迭代中的计算结果

Fig.8 The calculation results of the matrix A in the second iteration

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