Electric Power ›› 2025, Vol. 58 ›› Issue (5): 137-143.DOI: 10.11930/j.issn.1004-9649.202406068
• New-Type Power Grid • Previous Articles Next Articles
					
													ZHU Chaoyang(
), JING Dongsheng(
), LI Heting(
), WANG Yibin(
), HE Ping(
)
												  
						
						
						
					
				
Received:2024-06-20
															
							
															
							
															
							
																	Online:2025-05-30
															
							
							
																	Published:2025-05-28
															
							
						Supported by:CLC Number:
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.
| 记录 数量  | 基础模型 | 考虑稀疏性的改进模型 | ||||||||||||||
| 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 | ||||||||
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 | ||||||||||||||
| 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 | ||||||||
| 记录 数量  | 基础模型 | 考虑稀疏性的改进模型 | ||||||||||||||
| 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 | ||||||||
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 | ||||||||||||||
| 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 | ||||||||
| 记录 数量  | 基础模型 | 考虑稀疏性的改进模型 | ||||||||||||||
| 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 | ||||||||
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 | ||||||||||||||
| 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 | ||||||||
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