LIU Ruixu,WANG Zhen,WU Jialiang,et al.Configuration Optimization of Virtual Inertia Considering Spatial Distribution Characteristics of Frequency[J].Automation of Electric Power Systems,2024,48(8):122-130.
LIU Ruixu,WANG Zhen,WU Jialiang,et al.Configuration Optimization of Virtual Inertia Considering Spatial Distribution Characteristics of Frequency[J].Automation of Electric Power Systems,2024,48(8):122-130. DOI: 10.7500/AEPS20230830015.
Configuration Optimization of Virtual Inertia Considering Spatial Distribution Characteristics of Frequency
The high proportion of power electronic equipment connected to the grid changes the frequency response characteristics of the power system
resulting in significant frequency dynamic heterogeneity of each node
leading to problems such as low system inertia and weak frequency stability. The virtual inertia provided by the power electronic equipment is one of the effective ways to improve frequency stability. In order to improve the frequency response performance of the new power system dominated by renewable energy sources
a configuration optimization method of virtual inertia considering the spatial distribution difference of the system frequency response is proposed. Firstly
based on the frequency divider theory
a system frequency response model reflecting the difference characteristics of the spatial distribution of frequency is constructed. Secondly
in order to quantitatively describe the influence of inertia distribution on nodal frequency response
the deviation indices of nodal inertia and nodal kinetic energy are proposed. Then
considering the spatial distribution characteristics of frequency
aiming at optimizing the energy imbalance of each node after the disturbance
a configuration optimization model of virtual inertia is established. Finally
the validity of the nodal inertia index and the improvement effect of the proposed virtual inertia configuration method on the nodal frequency stability of the system are verified by simulations.
ZHANG Ziyang , ZHANG Ning , DU Ershun , et al . Review and countermeasures on frequency security issues of power systems with high shares of renewables and power electronics [J]. Proceedings of the CSEE , 2022 , 42 ( 1 ): 1 - 24 .
Notice of the National Energy Administration on issuing the “management measures for electric power auxiliary services” [EB/OL]. [ 2022-11-21 ]. http://zfxxgk.nea.gov.cn/2021-12/21/c_1310391161.htm?eqid=a78f623000030466000000026433c6e4 http://zfxxgk.nea.gov.cn/2021-12/21/c_1310391161.htm?eqid=a78f623000030466000000026433c6e4 .
ZHONG Q C , WEISS G . Synchronverters: inverters that mimic synchronous generators [J]. IEEE Transactions on Industrial Electronics , 2011 , 58 ( 4 ): 1259 - 1267 .
TAVORA C J , M SMITH O J . Characterization of equilibrium and stability in power systems [J]. IEEE Transactions on Power Apparatus and Systems , 1972 , 91 ( 3 ): 1127 - 1130 .
HUANG Linbin , XIN Huanhai , HUANG Wei , et al . Quantified analysis method of frequency response characteristics for power systems with virtual inertia [J]. Automation of Electric Power Systems , 2018 , 42 ( 8 ): 31 - 38 .
ZHOU Haiqiang , JU Ping , XUE Yusheng , et al . Transient stability analysis of stochastic power system based on quasi-Hamiltonian system theory [J]. Automation of Electric Power Systems , 2016 , 40 ( 19 ): 9 - 14 .
LI Bijun , LI Zhaowei , WU Xuelian , et al . Research on the decision method of frequency security emergency control based on energy change [J]. Power System Protection and Control , 2018 , 46 ( 20 ): 150 - 157 .
PULGAR-PAINEMAL H , WANG Y J , SILVA-SARAVIA H . On inertia distribution, inter-area oscillations and location of electronically-interfaced resources [J]. IEEE Transactions on Power Systems , 2018 , 33 ( 1 ): 995 - 1003 .
BORSCHE T S , LIU T , HILL D J . Effects of rotational Inertia on power system damping and frequency transients [C]// 54th IEEE Conference on Decision and Control (CDC) , December 15-18 , 2015 , Osaka, Japan : 5940 - 5946 .
HUANG Junkai , YANG Zhifang , LIU Juelin , et al . Optimal allocation of virtual inertia for improving small-signal stability [J]. Proceedings of the CSEE , 2020 , 40 ( 3 ): 713 - 723 .
POOLLA B K , BOLOGNANI S , DÖRFLER F . Optimal placement of virtual inertia in power grids [J]. IEEE Transactions on Automatic Control , 2017 , 62 ( 12 ): 6209 - 6220 .
LIU Haobang , MA Hui , XIONG Zhizhi . Virtual inertia configuration based on voronoi diagram and center of gravity interpolation [J]. Automation of Electric Power Systems , 2020 , 44 ( 3 ): 66 - 73 .
ZHU N X , HU P F , LI Y J , et al . Optimal allocation of energy storages: a perspective of system inertia support [J]. International Journal of Electrical Power & Energy Systems , 2023 , 148 : 108934 .
WANG Lin , JU Yuntao , WU Wenchuan , et al . Optimal design of inertia and damping parameters of virtual synchronous microgrid for improving frequency stability [J]. Proceedings of the CSEE , 2021 , 41 ( 13 ): 4479 - 4490 .
GOLPIRA H , ATARODI A , AMINI S , et al . Optimal energy storage system-based virtual inertia placement: a frequency stability point of view [J]. IEEE Transactions on Power Systems , 2020 , 35 ( 6 ): 4824 - 4835 .
韩祯祥 . 电力系统分析 [M]. 5版 . 杭州 : 浙江大学出版社 , 2013 .
HAN Zhenxiang . Power system analysis [M]. 5th ed . Hangzhou : Zhejiang University Press , 2013 .
REPORT I C . Dynamic models for steam and hydro turbines in power system studies [J]. IEEE Transactions on Power Apparatus and Systems , 1973 , 92 ( 6 ): 1904 - 1915 .
QI X , ZHAO T Y , LIU X , et al . Three-stage stochastic unit commitment for microgrids toward frequency security via renewable energy deloading [J]. IEEE Transactions on Smart Grid , 2023 , 14 ( 6 ): 4256 - 4267 .
KUNDUR P , BALU N J , LAUBY M G . Power system stability and control [M]. New York : McGraw-Hill , 1994 .
DORFLER F , BULLO F . Kron reduction of graphs with applications to electrical networks [J]. IEEE Transactions on Circuits and Systems Ⅰ: Regular Papers , 2013 , 60 ( 1 ): 150 - 163 .
SUN Huadong , WANG Baocai , LI Wenfeng , et al . Research on inertia system of frequency response for power system with high penetration electronics [J]. Proceedings of the CSEE , 2020 , 40 ( 16 ): 5179 - 5192 .
ANDERSON P M , FOUAD A A . Power system control and stability [M]. New York, USA : IEEE Press , 2003 .
LIU J H , WANG C , ZHAO J B , et al . RoCoF constrained unit commitment considering spatial difference in frequency dynamics [J]. IEEE Transactions on Power Systems , 2024 , 39 ( 1 ): 1111 - 1125 .
TIAN Y , CHENG R , ZHANG X Y , et al . PlatEMO: a MATLAB platform for evolutionary multi-objective optimization educational forum [J]. IEEE Computational Intelligence Magazine , 2017 , 12 ( 4 ): 73 - 87 .
GU Y J , LI Y T , ZHU Y , et al . Impedance-based whole-system modeling for a composite grid via embedding of frame dynamics [J]. IEEE Transactions on Power Systems , 2021 , 36 ( 1 ): 336 - 345 .
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