Electric Power ›› 2023, Vol. 56 ›› Issue (12): 20-30.DOI: 10.11930/j.issn.1004-9649.202307052
• Planning, Operation and Power Transaction of Distributed Smart Grid • Previous Articles Next Articles
					
													Zhaoxiang YUAN1(
), Zhihong XIAO1, Jing WANG2, Yanling YU3, Yan HUANG3(
), Xingle GAO1
												  
						
						
						
					
				
Received:2023-07-14
															
							
															
							
																	Accepted:2023-10-12
															
							
																	Online:2023-12-23
															
							
							
																	Published:2023-12-28
															
							
						Supported by:Zhaoxiang YUAN, Zhihong XIAO, Jing WANG, Yanling YU, Yan HUANG, Xingle GAO. A Minimized Data Collection Optimization Method for Distribution Networks Considering Multiple-Time and Compressed Candidate Sets[J]. Electric Power, 2023, 56(12): 20-30.
| 量测类型 | 量测布置位置 | |
| 节点电压幅值量测 | 1 | |
| 节点注入功率量测 | 2,3,4,5 | |
| 支路功率量测 | 1—2,2—3,3—4,4—5 | 
Table 1 Initial measurement configuration of a 5-node system
| 量测类型 | 量测布置位置 | |
| 节点电压幅值量测 | 1 | |
| 节点注入功率量测 | 2,3,4,5 | |
| 支路功率量测 | 1—2,2—3,3—4,4—5 | 
| 方案编号 | 配置1处量测时的配置方案 | 状态估计精度 | ||
| 0 | 未配置电流幅值量测 | 1.6602 | ||
| 1 |   |  2.3212×10–4 | ||
| 2 |   |  5.1805×10–4 | ||
| 3 |   |  1.9589×10–4 | ||
| 4 |   |  2.4112 | ||
| 本文优化方案 |   |  1.9589×10–4 | 
Table 2 State estimation accuracy with one-branch current amplitude measurements
| 方案编号 | 配置1处量测时的配置方案 | 状态估计精度 | ||
| 0 | 未配置电流幅值量测 | 1.6602 | ||
| 1 |   |  2.3212×10–4 | ||
| 2 |   |  5.1805×10–4 | ||
| 3 |   |  1.9589×10–4 | ||
| 4 |   |  2.4112 | ||
| 本文优化方案 |   |  1.9589×10–4 | 
| 方案编号 | 配置2个电流幅值量测时的方案 | 状态估计精度 | ||
| 0 | 未配置电流幅值量测 | 1.6602 | ||
| 1 |   |  5.2133×10–4 | ||
| 2 |   |  1.9674 ×10–4 | ||
| 3 |   |  2.4065 ×10–4 | ||
| 4 |   |  4.9873×10–4 | ||
| 5 |   |  5.0931×10–4 | ||
| 6 |   |  1.7140 ×10–4 | ||
| 本文优化方案 |   |  1.7140×10–4 | 
Table 3 State estimation accuracy with two-branch current amplitude measurements
| 方案编号 | 配置2个电流幅值量测时的方案 | 状态估计精度 | ||
| 0 | 未配置电流幅值量测 | 1.6602 | ||
| 1 |   |  5.2133×10–4 | ||
| 2 |   |  1.9674 ×10–4 | ||
| 3 |   |  2.4065 ×10–4 | ||
| 4 |   |  4.9873×10–4 | ||
| 5 |   |  5.0931×10–4 | ||
| 6 |   |  1.7140 ×10–4 | ||
| 本文优化方案 |   |  1.7140×10–4 | 
| 方案  编号  |  文献[ 矩阵,取最大值)  |  文献[ 误差,取最小值)  |  ||
| 0 | 0.1656 | 0.04071 | ||
| 1 | 0.2495 | 0.04068 | ||
| 2 | 3.6769 | 0.04060 | ||
| 3 | 3.8064 | 0.04061 | ||
| 4 | 1.1723 | 0.04068 | 
Table 4 Calculation results of different methods with one-branch current amplitude measurements
| 方案  编号  |  文献[ 矩阵,取最大值)  |  文献[ 误差,取最小值)  |  ||
| 0 | 0.1656 | 0.04071 | ||
| 1 | 0.2495 | 0.04068 | ||
| 2 | 3.6769 | 0.04060 | ||
| 3 | 3.8064 | 0.04061 | ||
| 4 | 1.1723 | 0.04068 | 
| 方案  编号  |  文献[ 矩阵,取最大值)  |  文献[ 误差,取最小值)  |  ||
| 0 | 0.1656 | 0.04071 | ||
| 1 | 2.3101 | 0.04057 | ||
| 2 | 2.7738 | 0.04058 | ||
| 3 | 3.1701 | 0.04065 | ||
| 4 | 4.2601 | 0.04049 | ||
| 5 | 5.0398 | 0.04057 | ||
| 6 | 4.7315 | 0.04058 | 
Table 5 Calculation results of different methods with two-branch current amplitude measurements
| 方案  编号  |  文献[ 矩阵,取最大值)  |  文献[ 误差,取最小值)  |  ||
| 0 | 0.1656 | 0.04071 | ||
| 1 | 2.3101 | 0.04057 | ||
| 2 | 2.7738 | 0.04058 | ||
| 3 | 3.1701 | 0.04065 | ||
| 4 | 4.2601 | 0.04049 | ||
| 5 | 5.0398 | 0.04057 | ||
| 6 | 4.7315 | 0.04058 | 
| 量测类型 | 量测布置位置 | |
| 节点电压  幅值量测  |  1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33 | |
| 节点注入  功率量测  |  2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33 | |
| 支路功率量测 | 1—2,2—3 ,3—4 ,4—5,5—6,6—7,7—8,8—9,9—10,10—11,11—12,12—13,13—14,14—15,15—16,16—17,17—18,19—20,20—21,21—22,3—23,23—24,24—25,6—26,26—27,27—28,28—29,29—30,30—31,31—32,32—33,2—19 | 
Table 6 Initial measurement sets of a 33-node system
| 量测类型 | 量测布置位置 | |
| 节点电压  幅值量测  |  1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33 | |
| 节点注入  功率量测  |  2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33 | |
| 支路功率量测 | 1—2,2—3 ,3—4 ,4—5,5—6,6—7,7—8,8—9,9—10,10—11,11—12,12—13,13—14,14—15,15—16,16—17,17—18,19—20,20—21,21—22,3—23,23—24,24—25,6—26,26—27,27—28,28—29,29—30,30—31,31—32,32—33,2—19 | 
| 候选量测集  中量测类型  |  电流幅值量测布置位置 | |
| 支路电流  幅值量测  |  1—2,2—3 ,3—4 ,4—5,5—6,6—7,7—8,8—9,9—10,10—11,11—12,12—13,13—14,14—15,15—16,16—17,17—18,19—20,20—21,21—22,3—23,23—24,24—25,6—26,26—27,27—28,28—29,29—30,30—31,31—32,32—33,2—19 | 
Table 7 Candidate measurement sets of a 33-node system
| 候选量测集  中量测类型  |  电流幅值量测布置位置 | |
| 支路电流  幅值量测  |  1—2,2—3 ,3—4 ,4—5,5—6,6—7,7—8,8—9,9—10,10—11,11—12,12—13,13—14,14—15,15—16,16—17,17—18,19—20,20—21,21—22,3—23,23—24,24—25,6—26,26—27,27—28,28—29,29—30,30—31,31—32,32—33,2—19 | 
| 候选量测集中  量测类型  |  电流幅值量测布置位置 | |
| 支路电流  幅值量测  |  1—2,2—3,4—5,5—6,6—7,9—10,10—11,11—12,12—13,14—15,16—17,23—24,26—27,27—28,29—30, 31—32 | 
Table 8 Candidate measurement set of the 33-node system updated by Stage-I calculation
| 候选量测集中  量测类型  |  电流幅值量测布置位置 | |
| 支路电流  幅值量测  |  1—2,2—3,4—5,5—6,6—7,9—10,10—11,11—12,12—13,14—15,16—17,23—24,26—27,27—28,29—30, 31—32 | 
| 方法 | 电流幅值量测位置 | 状态估计精度 | 耗时/min | |||
| 单阶段算法 | 2—3,3—4,5—6,6—7 | 0.01377448 | 867.4580 | |||
| 本文算法 | 2—3,4—5,5—6,6—7 | 0.01377246 | 211.8633 | 
Table 9 Comparison of calculation results through different methods
| 方法 | 电流幅值量测位置 | 状态估计精度 | 耗时/min | |||
| 单阶段算法 | 2—3,3—4,5—6,6—7 | 0.01377448 | 867.4580 | |||
| 本文算法 | 2—3,4—5,5—6,6—7 | 0.01377246 | 211.8633 | 
| 断面 | 电流幅值  量测位置  |  24个时刻状态估计  精度累加值  |  耗时/min | |||
| 单时间断面 | 1—2, 13—14,  26—27, 27—28  |  38.5945 | 4009.6000 | |||
| 多时间断面 | 1—2, 2—3,  3—4, 23—24  |  0.7854 | 2201.7027 | 
Table 10 Result comparison of measurement configuration optimization on single / multiple time sections
| 断面 | 电流幅值  量测位置  |  24个时刻状态估计  精度累加值  |  耗时/min | |||
| 单时间断面 | 1—2, 13—14,  26—27, 27—28  |  38.5945 | 4009.6000 | |||
| 多时间断面 | 1—2, 2—3,  3—4, 23—24  |  0.7854 | 2201.7027 | 
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