1.清华大学电机工程与应用电子技术系,北京市 100084
2.南方电网电力科技股份有限公司,广东省广州市 510080
丁禹升(2000—),男,硕士研究生,主要研究方向:电力电子装置组网分析。E-mail:dys22@mails.tsinghua.edu.cn
郑竞宏(1974—),男,通信作者,副研究员,主要研究方向:电力电子装置组网分析、光伏电站特性及建模、微电网。E-mail:jhzheng@tsinghua.edu.cn
袁立强(1976—),男,教授,主要研究方向:电力电子与电机集成系统。
收稿:2025-03-12,
修回:2025-09-06,
网络首发:2025-10-22,
纸质出版:2025-12-25
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丁禹升,郑竞宏,袁立强等.基于频率响应模型的电力系统离线惯量辨识方法[J].电力系统自动化,2025,49(24):125-137.
DING Yusheng,ZHENG Jinghong,YUAN Liqiang,et al.Offline Inertia Identification Method for Power Systems Based on Frequency Response Model[J].Automation of Electric Power Systems,2025,49(24):125-137.
丁禹升,郑竞宏,袁立强等.基于频率响应模型的电力系统离线惯量辨识方法[J].电力系统自动化,2025,49(24):125-137. DOI: 10.7500/AEPS20250312003.
DING Yusheng,ZHENG Jinghong,YUAN Liqiang,et al.Offline Inertia Identification Method for Power Systems Based on Frequency Response Model[J].Automation of Electric Power Systems,2025,49(24):125-137. DOI: 10.7500/AEPS20250312003.
电力系统惯量是维持系统频率稳定的关键因素。随着配电网中提供惯量的构网型电源逐渐增多,准确的节点等效惯量测量评估对电力系统稳定运行具有重要意义。文中针对电力系统惯量测量方法评估精度不足问题,首先,从机理上分析了锁相环测量环节和常规动态同步相量算法在系统频率变化率测量与惯量计算中的局限性,并建立了考虑同步发电机、新能源与负荷等设备的单机系统频率响应模型;然后,在动态同步相量算法的基础上,提出了一种基于频率响应模型的单机系统惯量辨识方法,该方法能够有效降低测量噪声对惯量评估的影响。进一步,将该方法拓展到多机系统,提出了基于频率响应模型的多机系统惯量辨识方法。最后,通过理论分析和仿真,验证了所提方法在提高惯量评估精度和实用性方面的优势。
The inertia of power systems is a crucial factor for maintaining the stability of system frequency. With the gradual increase of grid-forming power sources to supply inertias in distribution networks
the accurate measurement and estimation of nodal equivalent inertia is of great importance for safe operation of power systems. In this paper
to address the issue of insufficient estimation accuracy of measurement methods for power system inertia
firstly
the limitations of the measurement link of phase-locked loop and conventional synchrophasor algorithm in system rate of change of frequency measurement for systems and inertia calculation from the perspective of the mechanism are analyzed
and a frequency response model for single-machine systems is established considering devices such as synchronous generators
renewable energy sources
and loads
etc. Secondly
based on the dynamic synchrophasor algorithm
an identification method of inertia for single-machine systems based on the frequency response model is proposed. This method can effectively reduce the impact of measurement noises on inertia estimation. Furthermore
this method is extended to multi-machine systems and an identification method of inertia for multi-machine systems based on the frequency response model is proposed. Finally
Through the theoretical analysis and simulation
the advantages of the proposed method are verified in terms of improving the accuracy of inertia estimation and practicality.
IEA . Renewables 2023 [R]. Paris, France : IEA , 2024 .
吕志鹏 , 盛万兴 , 钟庆昌 , 等 . 虚拟同步发电机及其在微电网中的应用 [J]. 中国电机工程学报 , 2014 , 34 ( 16 ): 2591 - 2603 .
LÜ Zhipeng , SHENG Wanxing , ZHONG Qingchang , et al . Virtual synchronous generator and its applications in microgrid [J]. Proceedings of the CSEE , 2014 , 34 ( 16 ): 2591 - 2603 .
唐酿 , 盛超 , 陈萌 , 等 . 虚拟同步发电机技术综述 [J]. 南方电网技术 , 2016 , 10 ( 11 ): 30 - 38 .
TANG Niang , SHENG Chao , CHEN Meng , et al . Review on virtual synchronous generator technologies [J]. Southern Power System Technology , 2016 , 10 ( 11 ): 30 - 38 .
张武其 , 文云峰 , 迟方德 , 等 . 电力系统惯量评估研究框架与展望 [J]. 中国电机工程学报 , 2021 , 41 ( 20 ): 6842 - 6856 .
ZHANG Wuqi , WEN Yunfeng , CHI Fangde , et al . Research framework and prospect on power system inertia estimation [J]. Proceedings of the CSEE , 2021 , 41 ( 20 ): 6842 - 6856 .
INOUE T , TANIGUCHI H , IKEGUCHI Y , et al . Estimation of power system inertia constant and capacity of spinning-reserve support generators using measured frequency transients [J]. IEEE Transactions on Power Systems , 1997 , 12 ( 1 ): 136 - 143 .
贾焦心 , 杨添淇 , 颜湘武 , 等 . 电力电子并网装备等效惯量评估研究进展 [J]. 电力自动化设备 , 2023 , 43 ( 9 ): 3 - 10 .
JIA Jiaoxin , YANG Tianqi , YAN Xiangwu , et al . Research progress on equivalent inertia estimation of grid-connected power electronic devices [J]. Electric Power Automation Equipment , 2023 , 43 ( 9 ): 3 - 10 .
KERDPHOL T , RAHMAN F S , WATANABE M , et al . Robust virtual inertia control of a low inertia microgrid considering frequency measurement effects [J]. IEEE Access , 2019 , 7 : 57550 - 57560 .
曾繁宏 , 张俊勃 . 电力系统惯性的时空特性及分析方法 [J]. 中国电机工程学报 , 2020 , 40 ( 1 ): 50 - 58 .
ZENG Fanhong , ZHANG Junbo . Temporal and spatial characteristics of power system inertia and its analysis method [J]. Proceedings of the CSEE , 2020 , 40 ( 1 ): 50 - 58 .
任凯奇 , 张东英 , 黄越辉 , 等 . 基于新能源出力比例的大规模系统惯量估计 [J]. 电网技术 , 2022 , 46 ( 4 ): 1307 - 1315 .
REN Kaiqi , ZHANG Dongying , HUANG Yuehui , et al . Large-scale system inertia estimation based on new energy output ratio [J]. Power System Technology , 2022 , 46 ( 4 ): 1307 - 1315 .
WANG Y J , SILVA-SARAVIA H , PULGAR-PAINEMAL H . Estimating inertia distribution to enhance power system dynamics [C]// 2017 North American Power Symposium (NAPS) , September 17-19 , 2017 , Morgantown, USA : 1 - 6 .
AZIZIPANAH-ABARGHOOEE R , MALEKPOUR M , PAOLONE M , et al . A new approach to the online estimation of the loss of generation size in power systems [J]. IEEE Transactions on Power Systems , 2018 , 34 ( 3 ): 2103 - 2113 .
CHASSIN D P , HUANG Z , DONNELLY M K , et al . Estimation of WECC system inertia using observed frequency transients [J]. IEEE Transactions on Power Systems , 2005 , 20 ( 2 ): 1190 - 1192 .
ASHTON P M , TAYLOR G A , CARTER A M , et al . Application of phasor measurement units to estimate power system inertial frequency response [C]// 2013 IEEE Power & Energy Society General Meeting , July 21-25 , 2013 , Vancouver, USA : 1 - 5 .
鲁宗相 , 姜继恒 , 乔颖 , 等 . 新型电力系统广义惯量分析与优化研究综述 [J]. 中国电机工程学报 , 2023 , 43 ( 5 ): 1754 - 1776 .
LU Zongxiang , JIANG Jiheng , QIAO Ying , et al . A review on generalized inertia analysis and optimization of new power systems [J]. Proceedings of the CSEE , 2023 , 43 ( 5 ): 1754 - 1776 .
徐波 , 章林炜 , 俞向栋 , 等 . 基于系统辨识的电力系统惯量在线评估改进方法 [J]. 电力系统保护与控制 , 2021 , 49 ( 18 ): 62 - 69 .
XU Bo , ZHANG Linwei , YU Xiangdong , et al . An improved method of power system inertia online estimation based on system identification [J]. Power System Protection and Control , 2021 , 49 ( 18 ): 62 - 69 .
ZHANG X , SUN D , NIAN H , et al . Online identification based on time-frequency transformation for equivalent virtual inertia constant of wind farm [C]// 2022 25th International Conference on Electrical Machines and Systems (ICEMS) , November 29 - December 2 , 2022 , Chiang Mai, Thailand : 1 - 5 .
PHURAILATPAM C , RATHER Z H , BAHRANI B , et al . Estimation of non-synchronous inertia in AC microgrids [J]. IEEE Transactions on Sustainable Energy , 2021 , 12 ( 4 ): 1903 - 1914 .
TUTTELBERG K , KILTER J , WILSON D , et al . Estimation of power system inertia from ambient wide area measurements [J]. IEEE Transactions on Power Systems , 2018 , 33 ( 6 ): 7249 - 7257 .
MAKOLO P , OLADEJI I , ZAMORA R , et al . Data-driven inertia estimation based on frequency gradient for power systems with high penetration of renewable energy sources [J]. Electric Power Systems Research , 2021 , 195 : 107171 .
WANG W K , YAO W X , CHEN C , et al . Fast and accurate frequency response estimation for large power system disturbances using second derivative of frequency data [J]. IEEE Transactions on Power Systems , 2020 , 35 ( 3 ): 2483 - 2486 .
KERDPHOL T , WATANABE M , NISHIKAWA R , et al . Determining inertia of 60 Hz Japan power system using PMUs from power loss event [C]// 2021 IEEE Texas Power and Energy Conference (TPEC) , February 2-5 , 2021 , College Station, USA : 1 - 5 .
韩以鑫 , 邹复民 , 侯隽 , 等 . 两相静止坐标系下基于改进型双二阶广义积分器的锁相环控制策略 [J]. 电气技术 , 2024 , 25 ( 1 ): 23 - 33 .
HAN Yixin , ZOU Fumin , HOU Jun , et al . Phase-locked loop control strategy based on improved dual second-order generalized integrator in two-phase stationary coordinate system [J]. Electrical Engineering , 2024 , 25 ( 1 ): 23 - 33 .
郭羿辰 , 卢闻州 . 基于改进型二阶广义积分器的锁相环研究 [J]. 电气技术 , 2022 , 23 ( 9 ): 14 - 18 .
GUO Yichen , LU Wenzhou . Research on phase-locked loop based on improved second-order generalized integrator [J]. Electrical Engineering , 2022 , 23 ( 9 ): 14 - 18 .
麦瑞坤 , 何正友 , 薄志谦 , 等 . 动态条件下的同步相量测量算法的研究 [J]. 中国电机工程学报 , 2009 , 29 ( 10 ): 52 - 58 .
MAI Ruikun , HE Zhengyou , BO Zhiqian , et al . Research on synchronized phasor measurement algorithm under dynamic conditions [J]. Proceedings of the CSEE , 2009 , 29 ( 10 ): 52 - 58 .
毕天姝 , 刘灏 , 杨奇逊 . PMU算法动态性能及其测试系统 [J]. 电力系统自动化 , 2014 , 38 ( 1 ): 62 - 67 .
BI Tianshu , LIU Hao , YANG Qixun . Dynamic performance of PMU algorithm and its testing system [J]. Automation of Electric Power Systems , 2014 , 38 ( 1 ): 62 - 67 .
PETRI D , FONTANELLI D , MACII D , et al . A DFT-based synchrophasor, frequency and ROCOF estimation algorithm [C]// 2013 IEEE International Workshop on Applied Measurements for Power Systems (AMPS) , September 25-27 , 2013 , Aachen, Germany : 85 - 90 .
许苏迪 , 袁宇波 , 王晨清 , 等 . 次/超同步间谐波影响下PMU基波频率测量误差机理分析及抑制 [J]. 电力系统自动化 , 2024 , 48 ( 17 ): 88 - 96 .
XU Sudi , YUAN Yubo , WANG Chenqing , et al . Mechanism analysis and suppression of PMU fundamental frequency measurement error under influence of sub-/ super-synchronous interharmonics [J]. Automation of Electric Power Systems , 2024 , 48 ( 17 ): 88 - 96 .
王印峰 , 陆超 , 李依泽 , 等 . 一种配电网高精度快响应同步相量算法及其实现 [J]. 电网技术 , 2019 , 43 ( 3 ): 753 - 761 .
WANG Yinfeng , LU Chao , LI Yize , et al . A high-accuracy and fast-response synchrophasor algorithm and its implementation for distribution network [J]. Power System Technology , 2019 , 43 ( 3 ): 753 - 761 .
刘灏 , 毕天姝 , 徐全 , 等 . 配电网高精度同步相量测量技术方案与展望 [J]. 电力系统自动化 , 2020 , 44 ( 18 ): 23 - 29 .
LIU Hao , BI Tianshu , XU Quan , et al . Scheme and prospect of high-precision synchrophasor measurement technology for distribution network [J]. Automation of Electric Power Systems , 2020 , 44 ( 18 ): 23 - 29 .
ANDERSON P M , MIRHEYDAR M . A low-order system frequency response model [J]. IEEE Transactions on Power Systems , 1990 , 5 ( 3 ): 720 - 729 .
SHI Q X , LI F X , CUI H T . Analytical method to aggregate multi-machine SFR model with applications in power system dynamic studies [J]. IEEE Transactions on Power Systems , 2018 , 33 ( 6 ): 6355 - 6367 .
符玲 , 韩文朕 , 麦瑞坤 , 等 . 基于频域动态模型的同步相量测量算法 [J]. 中国电机工程学报 , 2015 , 35 ( 6 ): 1371 - 1378 .
FU Ling , HAN Wenzhen , MAI Ruikun , et al . Dynamic phasor estimator based on frequency-domain model [J]. Proceedings of the CSEE , 2015 , 35 ( 6 ): 1371 - 1378 .
文武松 , 张颖超 , 王璐 , 等 . 解耦双同步坐标系下单相锁相环技术 [J]. 电力系统自动化 , 2016 , 40 ( 20 ): 114 - 120 .
WEN Wusong , ZHANG Yingchao , WANG Lu , et al . Phase-locked loop technology for single-phase system in decoupled double synchronous reference frame [J]. Automation of Electric Power Systems , 2016 , 40 ( 20 ): 114 - 120 .
龚锦霞 , 解大 , 张延迟 . 三相数字锁相环的原理及性能 [J]. 电工技术学报 , 2009 , 24 ( 10 ): 94 - 99 .
GONG Jinxia , XIE Da , ZHANG Yanchi . Principle and performance of the three-phase digital phase-locked loop [J]. Transactions of China Electrotechnical Society , 2009 , 24 ( 10 ): 94 - 99 .
张纯江 , 赵晓君 , 郭忠南 , 等 . 二阶广义积分器的三种改进结构及其锁相环应用对比分析 [J]. 电工技术学报 , 2017 , 32 ( 22 ): 42 - 49 .
ZHANG Chunjiang , ZHAO Xiaojun , GUO Zhongnan , et al . Three improved second order generalized integrators and the comparative analysis in phase locked loop application [J]. Transactions of China Electrotechnical Society , 2017 , 32 ( 22 ): 42 - 49 .
张道农 , 刘灏 , 毕天姝 , 等 . 中外PMU静动态标准及评估方法对比分析 [J]. 电力系统保护与控制 , 2013 , 41 ( 17 ): 140 - 145 .
ZHANG Daonong , LIU Hao , BI Tianshu , et al . Comparison of the PMU static and dynamic standards and evaluation methods between Chinese standards and IEEE [J]. Power System Protection and Control , 2013 , 41 ( 17 ): 140 - 145 .
文云峰 , 杨伟峰 , 林晓煌 . 低惯量电力系统频率稳定分析与控制研究综述及展望 [J]. 电力自动化设备 , 2020 , 40 ( 9 ): 211 - 222 .
WEN Yunfeng , YANG Weifeng , LIN Xiaohuang . Review and prospect of frequency stability analysis and control of low-inertia power systems [J]. Electric Power Automation Equipment , 2020 , 40 ( 9 ): 211 - 222 .
ZHANG Y , SHI X H , ZHANG H X , et al . Review on deep learning applications in frequency analysis and control of modern power system [J]. International Journal of Electrical Power & Energy Systems , 2022 , 136 : 107744 .
ZHANG Z Y , DU E S , TENG F , et al . Modeling frequency dynamics in unit commitment with a high share of renewable energy [J]. IEEE Transactions on Power Systems , 2020 , 35 ( 6 ): 4383 - 4395 .
BABU V V , ROSELYN J P , NITHYA C , et al . Development of grid-forming and grid-following inverter control in microgrid network ensuring grid stability and frequency response [J]. Electronics , 2024 , 13 ( 10 ): 1958 .
贾焦心 , 沈钟毓 , 秦本双 , 等 . 构网型和跟网型电力电子装备混联系统惯量响应的匹配问题综述 [J]. 电力自动化设备 , 2024 , 44 ( 6 ): 77 - 89 .
JIA Jiaoxin , SHEN Zhongyu , QIN Benshuang , et al . Review on inertia response matching problem of hybrid power systems with grid-forming and grid-following power electronic devices [J]. Electric Power Automation Equipment , 2024 , 44 ( 6 ): 77 - 89 .
闵勇 , 陈磊 , 刘瑞阔 , 等 . 电力系统频率动态中惯量与惯量响应特性辨析 [J]. 中国电机工程学报 , 2023 , 43 ( 3 ): 855 - 868 .
MIN Yong , CHEN Lei , LIU Ruikuo , et al . Analysis on characteristics of inertia and inertial response in power system frequency dynamics [J]. Proceedings of the CSEE , 2023 , 43 ( 3 ): 855 - 868 .
HAFIZ F , ABDENNOUR A . Optimal use of kinetic energy for the inertial support from variable speed wind turbines [J]. Renewable Energy , 2015 , 80 : 629 - 643 .
COLEMAN T F , LI Y Y . An interior trust region approach for nonlinear minimization subject to bounds [J]. SIAM Journal on Optimization , 1996 , 6 ( 2 ): 418 - 445 .
KUNDUR P . Power system stability and control [M]. NewYork, USA : McGraw-Hill Companies , 1994 .
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