配电网状态估计的全局灵敏度分析及应用

孟雨田; 严正; 徐潇源; 方陈

doi:10.7500/AEPS20190127001

您当前的位置：

首页 >

文章列表页 >

配电网状态估计的全局灵敏度分析及应用

学术研究 | 更新时间：2025-06-16

- 配电网状态估计的全局灵敏度分析及应用
- Global Sensitivity Analysis on State Estimation of Distribution Network and Its Application
- 电力系统自动化-方正平台 2020年44卷第2期页码：113-121
- 作者机构：
  
  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
- 基金信息：
  
  国家自然科学基金资助项目(51707115);国家重点研发计划资助项目(2017YFB0902800)
- DOI：10.7500/AEPS20190127001
  中图分类号：
- 收稿日期：2019-01-27，
  
  修回日期：2019-07-15，
  
  网络出版日期：2019-11-13，
  
  纸质出版日期：2020-01-25
- 稿件说明：
移动端阅览
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(02):113-121.

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(02):113-121.
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(02):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(02):113-121. DOI： 10.7500/AEPS20190127001.

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.

关键词

Keywords

references

SINGH R , PAL B C , JABR R A . Statistical representation of distribution system loads using Gaussian mixture model [J]. IEEE Transactions on Power Systems , 2010 , 25 ( 1 ): 29 - 37 .

VALVERDE G , SARIC A T , TERZIJA V . Stochastic monitoring of distribution networks including correlated input variables [J]. IEEE Transactions on Power Systems , 2013 , 28 ( 1 ): 246 - 255 .

MANITSAS E , SINGH R , PAL B C , et al . Distribution system state estimation using an artificial neural network approach for pseudo measurement modeling [J]. IEEE Transactions on Power Systems , 2012 , 27 ( 4 ): 1888 - 1896 .

徐俊俊 , 吴在军 , 胡秦然 , 等 . 考虑多类型分布式电源和负荷不确定性的主动配电网区间状态估计 [J]. 中国电机工程学报 , 2018 , 38 ( 11 ): 3255 - 3266 .

XU Junjun , WU Zaijun , HU Qinran , et al . Interval state estimation for active distribution networks considering uncertainties of multiple types of DGs and loads [J]. Proceedings of the CSEE , 2018 , 38 ( 11 ): 3255 - 3266 .

卫志农 , 颜全椿 , 孙国强 , 等 . 考虑参数不确定性的电力系统区间线性状态估计 [J]. 电网技术 , 2015 , 39 ( 10 ): 2862 - 2868 .

WEI Zhinong , YAN Quanchun , SUN Guoqiang , et al . Power system interval linear state estimation considering network parameter uncertainty [J]. Proceedings of the CSEE , 2015 , 39 ( 10 ): 2862 - 2868 .

PEGORARO P A , ANGIONI A , PAU M , et al . Bayesian approach for distribution system state estimation with non-Gaussian uncertainty models [J]. IEEE Transactions on Instrumentation and Measurement , 2017 , 66 ( 11 ): 2957 - 2966 .

MESTAV K R , LUENGO-ROZAS J , TONG L . Bayesian state estimation for unobservable distribution systems via deep learning [J]. IEEE Transactions on Power Systems , 2019 , 34 ( 6 ): 4910 - 4920 .

林济铿 , 申丹枫 , 陶向红 , 等 . 基于自适应稀疏伪谱逼近新方法的随机状态估计:模型及算法 [J]. 中国电机工程学报 , 2019 , 39 ( 1 ): 192 - 203 .

LIN Jikeng , SHEN Danfeng , TAO Xianghong , et al . Stochastic state estimation using a new adaptive sparse pseudospectral approximation method: model and algorithm [J]. Proceedings of the CSEE , 2019 , 39 ( 1 ): 192 - 203 .

MUSCAS C , PILO F , PISANO G , et al . Optimal allocation of multichannel measurement devices for distribution state estimation [J]. IEEE Transactions on Instrumentation and Measurement , 2009 , 58 ( 6 ): 1929 - 1937 .

LIU J , TANG J , PONCI F , et al . Trade-offs in PMU deployment for state estimation in active distribution grids [J]. IEEE Transactions on Smart Grid , 2012 , 3 ( 2 ): 915 - 924 .

LIU J , PONCI F , MONTI A , et al . Optimal meter placement for robust measurement systems in active distribution grids [J]. IEEE Transactions on Instrumentation and Measurement , 2014 , 63 ( 5 ): 1096 - 1105 .

王红 , 张文 , 刘玉田 . 考虑分布式电源出力不确定性的主动配电网量测配置 [J]. 电力系统自动化 , 2016 , 40 ( 12 ): 9 - 14 .

WANG Hong , ZHANG Wen , LIU Yutian . Measurement placement in active distribution networks considering output uncertainty of distributed generators [J]. Automation of Electric Power Systems , 2016 , 40 ( 12 ): 9 - 14 .

徐航 , 鞠力 , 董树锋 , 等 . 提高配电网状态估计精度的智能配电单元优化布点方法 [J]. 电网技术 , 2018 , 42 ( 4 ): 1210 - 1216 .

XU Hang , JU Li , DONG Shufeng , et al . Optimization of intelligent distribution unit placement to improve accuracy of distribution network state estimation [J]. Power System Technology , 2018 , 42 ( 4 ): 1210 - 1216 .

MINGUEZ R , CONEJO A J . State estimation sensitivity analysis [J]. IEEE Transactions on Power Systems , 2007 , 22 ( 3 ): 1080 - 1091 .

KUHAR U , PANTOŠ M , KOSEC G , et al . The impact of model and measurement uncertainties on a state estimation in three-phase distribution networks [J]. IEEE Transactions on Smart Grid , 2019 , 10 ( 3 ): 3301 - 3310 .

LIAO H , MILANOVIĆ J V , HASAN K N , et al . Influence of uncertainties and parameter structural dependencies in distribution system state estimation [J]. IET Generation , Transmission & Distribution , 2018 , 12 ( 13 ): 3279 - 3285 .

王丰华 , 王劭菁 , 苏磊 , 等 . 采用Sobol’算法分析变电站接地网关键参数的灵敏度 [J]. 高电压技术 , 2017 , 43 ( 1 ): 300 - 306 .

WANG Fenghua , WANG Shaojing , SU Lei , et al . Sensitivity analysis of substation grounding grid parameters based on Sobol’ method [J]. High Voltage Engineering , 2017 , 43 ( 1 ): 300 - 306 .

HASAN K N , PREECE R . Influence of stochastic dependence on small-disturbance stability and ranking uncertainties [J]. IEEE Transactions on Power Systems , 2018 , 33 ( 3 ): 3227 - 3235 .

何琨 , 严正 , 徐潇源 , 等 . 基于Sobol’法的孤岛微电网潮流全局灵敏度分析 [J]. 电力系统自动化 , 2018 , 42 ( 14 ): 99 - 106 . DOI: 10.7500/AEPS20171011010 http://dx.doi.org/10.7500/AEPS20171011010 .

HE Kun , YAN Zheng , XU Xiaoyuan , et al . Sobol’ method based global sensitivity analysis of power flow in islanded microgrid [J]. Automation of Electric Power Systems , 2018 , 42 ( 14 ): 99 - 106 . DOI: 10.7500/AEPS20171011010 http://dx.doi.org/10.7500/AEPS20171011010 .

王晗 , 严正 , 徐潇源 , 等 . 基于稀疏多项式混沌展开的孤岛微电网全局灵敏度分析 [J]. 电力系统自动化 , 2019 , 43 ( 10 ): 44 - 52 . DOI: 10.7500/AEPS20180625006 http://dx.doi.org/10.7500/AEPS20180625006 .

WANG Han , YAN Zheng , XU Xiaoyuan , et al . Global sensitivity analysis for islanded microgrid based on sparse polynomial chaos expansion [J]. Automation of Electric Power Systems , 2019 , 43 ( 10 ): 44 - 52 . DOI: 10.7500/AEPS 20180625006 http://dx.doi.org/10.7500/AEPS 20180625006 .

XU X , YAN Z , SHAHIDEHPOUR M , et al . Power system voltage stability evaluation considering renewable energy with correlated variabilities [J]. IEEE Transactions on Power Systems , 2018 , 33 ( 3 ): 3236 - 3245 .

DEHGHANPOUR K , WANG Z , WANG J , et al . A survey on state estimation techniques and challenges in smart distribution systems [J]. IEEE Transactions on Smart Grid , 2019 , 10 ( 2 ): 2312 - 2322 .

赵红嘎 , 薛禹胜 , 高翔 , 等 . 量测量的时延差对状态估计的影响及其对策 [J]. 电力系统自动化 , 2004 , 28 ( 21 ): 12 - 16 .

ZHAO Hongga , XUE Yusheng , GAO Xiang , et al . Impacts of the difference between measurement transmission delays on state estimation and countermeasures [J]. Automation of Electric Power Systems , 2004 , 28 ( 21 ): 12 - 16 .

李大路 , 李蕊 , 孙元章 . WAMS/SCADA混合测量状态估计数据兼容性分析 [J]. 中国电机工程学报 , 2010 , 30 ( 16 ): 60 - 66 .

LI Dalu , LI Rui , SUN Yuanzhang . Data compatibility analysis of WAMS/SCADA hybrid measurements state estimation [J]. Proceedings of the CSEE , 2010 , 30 ( 16 ): 60 - 66 .

KUCHERENKO S , TARANTOLA S , ANNONI P . Estimation of global sensitivity indices for models with dependent variables [J]. Computer Physics Communications , 2012 , 183 ( 4 ): 937 - 946 .

SALTELLI A , ANNONI P , AZZINI I , et al . Variance based sensitivity analysis of model output design and estimator for the total sensitivity index [J]. Computer Physics Communications , 2010 , 181 ( 2 ): 259 - 270 .

BLATMAN G , SUDRET B . Efficient computation of global sensitivity indices using sparse polynomial chaos expansions [J]. Reliability Engineering & System Safety , 2010 , 95 ( 11 ): 1216 - 1229 .

BLATMAN G , SUDRET B . Adaptive sparse polynomial chaos expansion based on least angle regression [J]. Journal of Computational Physics , 2011 , 230 ( 6 ): 2345 - 2367 .

NI F , NIJHUIS M , NGUYEN P H , et al . Variance-based global sensitivity analysis for power systems [J]. IEEE Transactions on Power Systems , 2018 , 33 ( 2 ): 1670 - 1682 .

段磊 . 三相四线制配电网抗差状态估计与不良数据辨识方法研究 [D]. 重庆 : 重庆大学 , 2015 .

DUAN Lei . Research on robust state estimation and bad data identification methods for three-phase four-wire distribution networks [D]. Chongqing : Chongqing University , 2015 .

吴文传 , 郭烨 , 张伯明 . 指数型目标函数电力系统抗差状态估计 [J]. 中国电机工程学报 , 2011 , 31 ( 4 ): 67 - 71 .

WU Wenchuan , GUO Ye , ZHANG Boming . A robust state estimation method with exponential objective function [J]. Proceedings of the CSEE , 2011 , 31 ( 4 ): 67 - 71 .

蔡凝露 , 幺莉 , 林济铿 , 等 . 基于指数权函数的抗差状态估计算法 [J]. 中国电力 , 2015 , 46 ( 4 ): 69 - 73 .

CAI Ninglu , YAO Li , LIN Jikeng , et al . A robust state estimation method based on exponential weight functions [J]. Electric Power , 2015 , 46 ( 4 ): 69 - 73 .

BARAN M E , WU F F . Network reconfiguration in distribution systems for loss reduction and load balancing [J]. IEEE Transactions on Power Delivery , 1989 , 4 ( 2 ): 1401 - 1407 .

PAU M , PEGORARO P A , SULIS S . Efficient branch-current-based distribution system state estimation including synchronized measurements [J]. IEEE Transactions on Instrumentation and Measurement , 2013 , 62 ( 9 ): 2419 - 2429 .

WANG H , SCHULZ N N . A revised branch current-based distribution system state estimation algorithm and meter placement impact [J]. IEEE Transactions on Power Systems , 2004 , 19 ( 1 ): 207 - 213 .

王少芳 , 刘广一 , 黄仁乐 , 等 . 多采样周期混合量测环境下的主动配电网状态估计方法 [J]. 电力系统自动化 , 2016 , 40 ( 19 ): 30 - 36 .

WANG Shaofang , LIU Guangyi , HUANG Renle , et al . State estimation method for active distribution networks under environment of hybrid measurements with multiple sampling periods [J]. Automation of Electric Power Systems , 2016 , 40 ( 19 ): 30 - 36 .

MARELLI S , SUDRET B . UQLab: a framework for uncertainty quantification in Matlab [C]// 2nd International Conference on Vulnerability, Risk Analysis and Management (ICVRAM2014) , July 13 - 16 , 2014 , Liverpool, UK: 2554 - 2563 .

程涛 , 黄彦全 , 申铁 . 遗传算法在PMU优化配置中的应用 [J]. 电力系统及其自动化学报 , 2009 , 21 ( 1 ): 48 - 51 .

CHENG Tao , HUANG Yanquan , SHEN Tie . Application of genetic algorithm in optimizing the configuration of PMU [J]. Proceedings of the CSU-EPSA , 2009 , 21 ( 1 ): 48 - 51 .

王克英 , 穆钢 , 陈学允 . 计及PMU的状态估计精度分析及配置研究 [J]. 中国电机工程学报 , 2001 , 21 ( 8 ): 29 - 33 .

WANG Keying , MU Gang , CHEN Xueyun . Precision improvement and PMU placement studies on state estimation of a hybrid measurement system with PMUs [J]. Proceedings of the CSEE , 2001 , 21 ( 8 ): 29 - 33 .

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

考虑“路-车-源-荷”多重不确定性的交通网与配电网概率联合流分析

考虑分布式电源不确定性的配电网改进仿射状态估计

基于稀疏多项式混沌展开的孤岛微电网全局灵敏度分析