台区三相电压不平衡的主导特征识别及指标构建
作者:
作者单位:

(长沙理工大学电气与信息工程学院,湖南 长沙 410114)

通讯作者:

竺炜(1968—),男,博士,教授,主要从事电力系统稳定分析与控制等方面的研究;E?mail:738660686@qq.com

中图分类号:

TM863

基金项目:

国家自然科学基金(52077009);湖南省教育厅重点项目(20A013);长沙理工大学研究生实践创新项目(CLSJCX22092)


Dominant feature identification and index construction of three‑phase voltage imbalance in substation area
Author:
Affiliation:

(School of Electrical & Information Engineering, Changsha University of Science & Technology, Changsha 410114, China)

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    摘要:

    配网台区(变压器)数量巨大,三相不平衡现象普遍。由于台区单相负荷的随机性大,三相电压的各相幅值排序与传统算法的不平衡度都会随时变化。基于采样数据的特征分析,得到各台区三相电压在某时段的主导各相幅值(即有效值)差异,识别严重不平衡台区,以便人工治理。该方法是平衡成本与效益的可行办法。该文构建了各台区三相电压的时序矩阵,提出了一种基于奇异值分解的各相幅值差异主导特征分析与指标构建方法。研究结果表明:最大奇异值对应的子矩阵是原三相电压时序矩阵的绝对主导成分;从左奇异向量可得到主导各相幅值的排序;由最大奇异值与左奇异向量构建三相主导不平衡度指标。该方法解决了各项幅值排序随时变化的问题,可以唯一确定任选时段的各相幅值。采用算例验证了该不平衡度指标的主导性、唯一性。基于该指标,通过识别-人工治理的滚动循环,可提升并保持配网的整体三相平衡水平。该研究具有较好的实用价值。

    Abstract:

    With a large number of power distribution substations (transformers), three-phase imbalance is a commonly observed issue. Due to the high randomness of single-phase loads in the substation area, the amplitude ranking of three-phase voltages and the imbalance degree according to the traditional algorithm change constantly. Based on the feature analysis of the sampled data, differences in the dominant phase amplitudes of three-phase voltages in each substation area during a certain period of time are obtained, identifying the severely unbalanced substation area for manual intervention. This serves as a feasible method to balance costs and benefits. A time-series matrix of the three-phase voltages for each substation area is constructed in this paper, and a method for analyzing the dominant features of phase amplitude differences based on singular value decomposition (SVD) and constructing related indexes is proposed. The results show that the submatrix corresponding to the maximum singular value is the absolute dominant component of the original three-phase voltage time-series matrix. The ranking of the dominant phase amplitudes can be obtained from the left singular vector, and the three-phase dominant imbalance index can be constructed using the maximum singular value and the left singular vector. This method addresses the problem of constantly changing phase amplitude ranking and can determine the amplitude of each phase for any selected time period. A test case verifies the dominance and uniqueness of the proposed imbalance indexes. Based on the proposed indexes, through a rolling cycle of identification and manual intervention, the overall three-phase balance of the distribution network can be improved and maintained. The findings offer valuable practical guidance.

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引用本文

竺 炜,黄宁晓,舒慧莹,等.台区三相电压不平衡的主导特征识别及指标构建[J].电力科学与技术学报,2025,40(2):141-149.
ZHU Wei, HUANG Ningxiao, SHU Huiying, et al. Dominant feature identification and index construction of three‑phase voltage imbalance in substation area[J]. Journal of Electric Power Science and Technology,2025,40(2):141-149.

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  • 在线发布日期: 2025-06-06
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