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配电网状态估计的全局灵敏度分析及应用
作者:
作者单位:

1.电力传输与功率变换控制教育部重点实验室(上海交通大学)上海市 200240;2.国网上海市电力公司电力科学研究院上海市 200437

作者简介:

孟雨田(1994—),女,硕士研究生,主要研究方向:配电网状态估计。E-mail:rrmytdd@sjtu.edu.cn
严正(1964—),男,教授,博士生导师,主要研究方向:电力系统优化运行、电力系统稳定分析及智能电网。E-mail:yanz@sjtu.edu.cn
徐潇源(1989—),男,通信作者,助理教授,主要研究方向:电力系统不确定性分析、电力系统优化运行。E-mail:xuxiaoyuan@sjtu.edu.cn

通讯作者:

基金项目:

国家重点研发计划资助项目(2017YFB0902800);国家自然科学基金资助项目(51707115)。


Global Sensitivity Analysis on State Estimation of Distribution Network and Its Application
Author:
Affiliation:

1.Key Laboratory of Control of Power Transmission and Conversion, Ministry of Education (Shanghai Jiao Tong University), Shanghai 200240, China;2.Electric Power Research Institute of State Grid Shanghai Municipal Electric Power Company, Shanghai 200437, China

Fund Project:

This work is supported by National Key R&D Program of China (No. 2017YFB0902800) and National Natural Science Foundation of China (No. 51707115).

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    摘要:

    在配电网状态估计中,量测装置配置不齐全,通常引入伪量测来满足系统的可观性要求。考虑到量测数据有一定的误差以及伪量测与真实值之间可能存在偏差,配电网状态估计的量测和伪量测存在不确定性,这会影响配电网状态估计的准确性。文中提出了配电网状态估计的全局灵敏度分析方法,辨识影响状态估计精度的关键(伪)量测不确定性因素及其位置;利用稀疏多项式混沌展开计算全局灵敏度指标,以提高全局灵敏度分析的计算效率;建立了基于不确定性因素重要性排序的量测装置布点方法。采用IEEE 33节点配电网进行仿真,通过与常用方法进行比较,验证了所提方法的有效性。该方法克服了传统状态估计灵敏度分析方法的不足,能有效评估(伪)量测不确定性因素的交互作用对状态估计的影响;此外,基于全局灵敏度分析的量测装置布点方法能显著提高配电网状态估计精度。

    Abstract:

    In distribution network state estimation, measurement devices are limited and network observability is not achieved unless pseudo measurements are used. Considering the measurement errors and the deviations between the pseudo measurements and the actual values, the (pseudo-) measurements have uncertainties in distribution network state estimation, which will affect the performance of state estimation. The global sensitivity analysis method of the distribution network state estimation is proposed, to identify the critical (pseudo-) measurement uncertainties and their locations, which have an impact on the accuracy of state estimation. Based on the sparse polynomial chaos expansion, the global sensitivity indices are calculated to improve the computational efficiency of the global sensitivity analysis. And the metering placement method based on the importance ranking of uncertain parameters is provided. The proposed approach is tested on the IEEE 33-bus distribution system. Compared with the common methods, the accuracy and efficiency of the proposed method are verified. This method overcomes the shortcomings of the traditional state estimation sensitivity analysis. It evaluates the influence of the correlation of (pseudo-) measurement uncertainties on state estimation. The metering placement method based on the global sensitivity analysis is able to significantly improve the accuracy of distribution network state estimation.

    表 5 Table 5
    表 1 基于FSI的关键输入变量排序Table 1 FSI based ranking of critical input variables
    表 4 Table 4
    表 3 Table 3
    表 6 Table 6
    表 2 4种方法所得到的PMU配置结果Table 2 PMU placement results obtained by four methods
    表 7 Table 7
    图1 关键输入变量的FSI和TSIFig.1 FSI and TSI of critical input variables
    图2 P2-3和Q2-3的全局灵敏度指标Fig.2 Global sensitivity indices of P2-3 and Q2-3
    图3 不同PMU配置方式下状态估计误差的概率分布Fig.3 Probability distribution of state estimation errors with different PMU configuration methods
    图1 关键输入变量的FSI和TSIFig.1 FSI and TSI of critical input variables
    图2 P2-3和Q2-3的全局灵敏度指标Fig.2 Global sensitivity indices of P2-3 and Q2-3
    图3 不同PMU配置方式下状态估计误差的概率分布Fig.3 Probability distribution of state estimation errors with different PMU configuration methods
    图 正态分布和均匀分布下关键输入变量的FSI和TSIFig. FSI and TSI of critical input variables under normal and uniform distributions
    图 负荷变化下伪量测的FSI排序Fig. FSI ranking of pseudo measurements for different loads
    图 IEEE 33节点网架结构变化示意图Fig. Different structure of the IEEE 33-bus distribution system
    图 PMU配置前后关键输入变量的FSIFig. FSI of critical input variables before and after the PMU configuration
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引用本文

孟雨田,严正,徐潇源,等.配电网状态估计的全局灵敏度分析及应用[J].电力系统自动化,2020,44(2):113-121. DOI:10.7500/AEPS20190127001.
MENG Yutian,YAN Zheng,XU Xiaoyuan,et al.Global Sensitivity Analysis on State Estimation of Distribution Network and Its Application[J].Automation of Electric Power Systems,2020,44(2):113-121. DOI:10.7500/AEPS20190127001.

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  • 收稿日期:2019-01-27
  • 最后修改日期:2019-07-15
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  • 在线发布日期: 2020-01-20
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