Estimation Method of System Harmonic Impedance Based on Sub-space Dynamic Coefficient Regression

Shunfu LIN; Xinyu YAN; Yemin DAI; Dongdong LI; Yang FU

doi:10.7500/AEPS20190716004

您当前的位置：

首页 >

文章列表页 >

Estimation Method of System Harmonic Impedance Based on Sub-space Dynamic Coefficient Regression

Application Research | 更新时间：2025-06-16

- Estimation Method of System Harmonic Impedance Based on Sub-space Dynamic Coefficient Regression
- Automation of Electric Power Systems Vol. 44, Issue 12, Pages: 146-153(2020)
- 作者机构：
  
  上海电力大学电气工程学院，上海市 200090
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China;Science and Technology Project of Shanghai Science and Technology Commission;Shanghai Talent Development Fund
- DOI：10.7500/AEPS20190716004
  CLC：
- Received：16 July 2019，
  
  Revised：2019-12-12，
  
  Published Online：16 April 2020，
  
  Published：25 June 2020
- 稿件说明：
移动端阅览
林顺富,颜昕昱,戴烨敏等.基于子空间动态系数回归的系统谐波阻抗估计方法[J].电力系统自动化,2020,44(12):146-153.

LIN Shunfu,YAN Xinyu,DAI Yemin,et al.Estimation Method of System Harmonic Impedance Based on Sub-space Dynamic Coefficient Regression[J].Automation of Electric Power Systems,2020,44(12):146-153.
林顺富,颜昕昱,戴烨敏等.基于子空间动态系数回归的系统谐波阻抗估计方法[J].电力系统自动化,2020,44(12):146-153. DOI： 10.7500/AEPS20190716004.

LIN Shunfu,YAN Xinyu,DAI Yemin,et al.Estimation Method of System Harmonic Impedance Based on Sub-space Dynamic Coefficient Regression[J].Automation of Electric Power Systems,2020,44(12):146-153. DOI： 10.7500/AEPS20190716004.

摘要

系统谐波阻抗的准确估计是实现谐波责任定量划分的关键。新能源并网场景下用户侧谐波阻抗并非远大于系统侧谐波阻抗，现有估计方法精度降低甚至失效。文中提出一种基于子空间分解和动态系数回归的系统谐波阻抗估计方法。通过小波包分解将公共连接点（PCC）处谐波电压与电流的观测信号分解成多个子空间，并根据互信息值筛选出解释变量相关度最弱的子空间，以降低解释变量间相关性对回归分析的影响；考虑到网侧谐波波动会干扰PCC处谐波电压与电流间的相关性，将网侧谐波电压视作动态系数，并通过动态系数回归法求解系统谐波阻抗，以降低网侧谐波电压波动对估计结果的影响。仿真分析的结果表明，相比现有方法

所提方法拥有更好的估计精度与鲁棒性。

Abstract

The accurate estimation of system harmonic impedance is critical to realize the quantitative determination of harmonic responsibility. The customer-side harmonic impedance is no longer much greater than that of the system side in the situation of new energy resources connecting to the grid

which results in accuracy decrease or ineffectiveness of existing estimation methods. This paper proposes an estimation method of system harmonic impedance based on the sub-space decomposition and the dynamic coefficient regression. The observed signals of the harmonic voltage and current at the point of common coupling (PCC) are decomposed into several sub-spaces by the wavelet packet decomposition. The sub-space with the weakest correlation between the explanatory variables is selected according to the mutual information value

which reduces the impact of the correlation between explanatory variables on the regression analysis. Considering that the system harmonic fluctuation will interfere with the correlation between the harmonic voltage and current at PCC

the system harmonic voltage is regarded as a dynamic coefficient. The system harmonic impedance is calculated by the dynamic coefficient regression method

to reduce the impact of harmonic voltage fluctuation on the estimation results. The simulation results show that the proposed method has better estimation accuracy and robustness compared with the existing methods.

关键词

Keywords

references

SAFARGHOLI F , MALEKIAN K , SCHUFFT W . On the dominant harmonic source identification—Part Ⅰ: review of methods [J]. IEEE Transactions on Power Delivery , 2018 , 33 ( 3 ): 1268 - 1277 .

孙媛媛 , 李树荣 , 石访 , 等 . 含分布式谐波源的配电网多谐波源责任划分 [J]. 中国电机工程学报 , 2019 , 39 ( 18 ): 5389 - 5398 .

SUN Yuanyuan , LI Shurong , SHI Fang , et al . Multiple harmonic source contribution determination in the active distribution network with distributed harmonic sources [J]. Proceedings of the CSEE , 2019 , 39 ( 18 ): 5389 - 5398 .

徐方维 , 郑鸿儒 , 杨洪耕 , 等 . 基于无相位实测数据的系统侧谐波阻抗估计方法 [J]. 电力系统自动化 , 2019 , 43 ( 21 ): 170 - 176 .

XU Fangwei , ZHENG Hongru , YANG Honggeng , et al . Harmonic impedance estimation method on system side based on measurement data without phase angle [J]. Automation of Electric Power Systems , 2019 , 43 ( 21 ): 170 - 176 .

赵永扬 , 徐方维 , 舒勤 . 基于背景谐波最小波动能量的系统侧谐波阻抗估计 [J]. 电力系统自动化 , 2019 , 43 ( 24 ): 142 - 148 .

ZHAO Yongyang , XU Fangwei , SHU Qin , et al . Utility harmonic impedance estimation based on minimum fluctuation energy of background harmonic [J]. Automation of Electric Power Systems , 2019 , 43 ( 24 ): 142 - 148 .

孟思雨 , 肖先勇 , 张逸 , 等 . 基于有效数据段选取的多谐波源责任划分方法 [J]. 电网技术 , 2017 , 41 ( 6 ): 2006 - 2011 .

MENG Siyu , XIAO Xianyong , ZHANG Yi , et al . A valid data selection method in estimating harmonic impact of individual loads [J]. Power System Technology , 2017 , 41 ( 6 ): 2006 - 2011 .

王瑜 , 臧天磊 , 符玲 , 等 . 考虑背景谐波电压变化的多谐波源谐波责任划分 [J]. 电力系统自动化 , 2015 , 39 ( 18 ): 55 - 61 .

WANG Yu , ZANG Tianlei , FU Ling , et al . Harmonic contribution partition of multiple harmonic sources considering background harmonic voltage fluctuation [J]. Automation of Electric Power Systems , 2015 , 39 ( 18 ): 55 - 61 .

华回春 , 贾秀芳 , 张韶光 . 谐波责任定量评估的邻域多点测量方法 [J]. 电网技术 , 2014 , 38 ( 2 ): 502 - 508 .

HUA Huichun , JIA Xiufang , ZHANG Shaoguang . Neighborhood multi-point measurement method for harmonic contribution determination [J]. Power System Technology , 2014 , 38 ( 2 ): 502 - 508 .

YANG H , POROTTE P , ROBERT A . Harmonic emission levels of industrial loads statistical assessment [C]// CIGRE , 1996 , Paris , France .

龚华麟 , 肖先勇 , 刘亚梅 , 等 . 基于主导波动量筛选原理的用户谐波发射水平估计方法 [J]. 中国电机工程学报 , 2010 , 30 ( 4 ): 22 - 27 .

GONG Hualin , XIAO Xianyong , LIU Yamei , et al . A method for assessing customer harmonic emission level based on the dominant fluctuation filtering principle [J]. Proceedings of the CSEE , 2010 , 30 ( 4 ): 22 - 27 .

HUI J , YANG H , LIN S , et al . Assessing utility harmonic impedance based on the covariance characteristic of random vectors [J]. IEEE Transactions on Power Delivery , 2010 , 25 ( 3 ): 1778 - 1786 .

惠锦 , 杨洪耕 , 林顺富 , 等 . 基于独立随机矢量协方差特性的谐波发射水平评估方法 [J]. 电力系统自动化 , 2009 , 33 ( 7 ): 27 - 31 .

HUI Jing , YANG Honggeng , LIN Shunfu , et al . Assessment method of harmonic emission level based on covariance characteristic of random vectors [J]. Automation of Electric Power Systems , 2009 , 33 ( 7 ): 27 - 31 .

吴雅玥 , 徐方维 , 张伟骏 , 等 . 基于修正独立随机矢量的系统侧谐波阻抗估计 [J]. 电力系统自动化 , 2019 , 43 ( 20 ): 146 - 152 .

WU Yayue , XU Fangwei , ZHANG Weijun , et al . System-side harmonic impedance estimation based on modified independent random vectors [J]. Automation of Electric Power Systems , 2019 , 43 ( 20 ): 146 - 152 .

赵劲帅 , 杨洪耕 , 徐方维 , 等 . 基于稀疏成分分析的多直流馈入城市电网直流落点系统侧谐波阻抗计算方法 [J]. 中国电机工程学报 , 2019 , 39 ( 7 ): 2016 - 2025 .

ZHAO Jinshuai , YANG Honggeng , XU Fangwei , et al . Method of calculating system-side harmonic impedance for DC drop point in city grid with multi-infeed DC system based on sparse component analysis [J]. Proceedings of the CSEE , 2019 , 39 ( 7 ): 2016 - 2025 .

赵熙 , 杨洪耕 . 基于快速独立分量分析的系统侧谐波阻抗计算方法 [J]. 电力系统自动化 , 2015 , 39 ( 23 ): 139 - 144 .

ZHAO Xi , YANG Honggeng . Method of calculating system side harmonic impedance based on FastICA [J]. Automation of Electric Power Systems , 2015 , 39 ( 23 ): 139 - 144 .

林顺富 , 李扬 , 汤波 , 等 . 基于改进FastICA及偏最小二乘法的系统谐波阻抗估计 [J]. 电网技术 , 2018 , 42 ( 1 ): 308 - 314 .

LIN Shunfu , LI Yang , TANG Bo , et al . System harmonic impedance estimation based on improved FastICA and partial least squares [J]. Power System Technology , 2018 , 42 ( 1 ): 308 - 314 .

ZHAO Xi , YANG Honggeng . A new method to calculate the utility harmonic impedance based on FastICA [J]. IEEE Transactions on Power Delivery , 2016 , 31 ( 1 ): 381 - 388 .

王攸然 , 张逸 , 邵振国 , 等 . 谐波责任划分研究现状及在分布式电源并网条件下的展望 [J]. 电工电能新技术 , 2019 , 38 ( 1 ): 61 - 69 .

WANG Youran , ZHANG Yi , SHAO Zhenguo , et al . Status of harmonic responsibility division and prospects under grid-connected distributed generations condition [J]. Advanced Technology of Electrical Engineering and Energy , 2019 , 38 ( 1 ): 61 - 69 .

汪颖 , 罗代军 , 肖先勇 , 等 . 超高次谐波问题及其研究现状与趋势 [J]. 电网技术 , 2018 , 42 ( 2 ): 353 - 365 .

WANG Ying , LUO Daijun , XIAO Xianyong , et al . Review and development tendency of research on 2~150 kHz supraharmonics [J]. Power System Technology , 2018 , 42 ( 2 ): 353 - 365 .

王逸超 , 罗安 , 金国彬 , 等 . 单相LCL型并网逆变器新型谐波阻尼策略 [J]. 中国电机工程学报 , 2014 , 34 ( 33 ): 5803 - 5810 .

WANG Yichao , LUO An , JIN Guobin , et al . New harmonic damping strategy for single grid-connected inverter with LCL filter [J]. Proceedings of the CSEE , 2014 , 34 ( 33 ): 5803 - 5810 .

谢文浩 . 分布式发电并网逆变器的控制策略研究 [D]. 哈尔滨 : 哈尔滨工业大学 , 2016 .

XIE Wenhao . Research on grid-connected inverter for distributed power system [D]. Harbin : Harbin Institute of Technology , 2016 .

张巍 , 杨洪耕 . 基于二元线性回归的谐波发射水平估计方法 [J]. 中国电机工程学报 , 2004 , 24 ( 6 ): 54 - 57 .

ZHANG Wei , YANG Honggeng . A method for assessing harmonic emission level based of binary linear regression [J]. Proceedings of the CSEE , 2004 , 24 ( 6 ): 54 - 57 .

孙媛媛 , 尹志明 . 基于M估计稳健回归的多谐波源责任区分 [J]. 中国电机工程学报 , 2012 , 32 ( 31 ): 166 - 173 .

SUN Yuanyuan , YIN Zhiming . Quantifying harmonic responsibilities of multiple harmonic sources based on M-estimation robust regression [J]. Proceedings of the CSEE , 2012 , 32 ( 31 ): 166 - 173 .

黄舜 , 徐永海 . 基于偏最小二乘回归的系统谐波阻抗与谐波发射水平的评估方法 [J]. 中国电机工程学报 , 2007 , 27 ( 1 ): 93 - 97 .

HUANG Shun , XU Yonghai . Assessing harmonic impedance and the harmonic emission level based on partial least-squares regression method [J]. Proceedings of the CSEE , 2007 , 27 ( 1 ): 93 - 97 .

王辉 , 刘炜 , 李群湛 , 等 . 基于复数域偏最小二乘法与等值法的多谐波源责任划分 [J]. 电力系统自动化 , 2017 , 41 ( 4 ): 78 - 85 .

WANG Hui , LIU Wei , LI Qunzhan , et al . Responsibility distinction for multiple harmonic sources based on partial least square in complex field and equivalent method [J]. Automation of Electric Power Systems , 2017 , 41 ( 4 ): 78 - 85 .

郭俊 , 汲胜昌 , 沈琪 , 等 . 盲源分离技术在振动法检测变压器故障中的应用 [J]. 电工技术学报 , 2012 , 27 ( 10 ): 68 - 78 .

GUO Jun , JI Shengchang , SHEN Qi , et al . Blind source separation technology for the detection of transformer fault based on vibration method [J]. Transactions of China Electrotechnical Society , 2012 , 27 ( 10 ): 68 - 78 .

孟宗 , 蔡龙 . 基于EEMD子带提取相关机械振动信号单通道盲源分离 [J]. 振动与冲击 , 2014 , 33 ( 20 ): 40 - 46 .

MENG Zong , CAI Long . Blind source separation of single channel statistically correlated mechanical vibration signals based on subband extraction of EEMD [J]. Journal of Vibration and Shock , 2014 , 33 ( 20 ): 40 - 46 .

WANG Q , NI J , TENHUNEN J . Application of a geographically-weighted regression analysis to estimate net primary production of Chinese forest ecosystems [J]. Global Ecology and Biogeography , 2005 , 14 : 379 - 393 .

张博 . 半参数空间变系数模型的估计及应用研究 [D]. 哈尔滨 : 东北林业大学 , 2017 .

ZHANG Bo . Research on estimation and application of semi-parametric spatial variable coefficient model [D]. Harbin : Northeast Forestry University , 2017 .

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Power Quality Disturbance Classification Method Based on Time-series Two-dimensional Transformation and Multi-scale Transformer

Cooperative Suppression Method for DC-side Ripple Current in Cascaded H-bridge Energy Storage Converter

Related Author

ZHAO Yongyang

WU Yayue

WANG Shouxiang

LI Huiqiang

ZHAO Qianyu

GUO Luyang

WANG Tongxun

WANG Yang

Related Institution

College of Electrical Engineering, Sichuan University

Key Laboratory of the Ministry of Education on Smart Power Grids (Tianjin University)

Tianjin Key Laboratory of Power System Simulation and Control (Tianjin University)

State Grid Smart Grid Research Institute Co., Ltd.

School of Control Science and Engineering, Shandong University

⁰