Impact Analysis of Converter Diversity on System Strength in Multi-Infeed Power System
Ma Fuyilong1,2, Xin Huanhai1,2, Li Zhiyi1, Huang Linbin1, Ju Ping1
1. College of Electrical Engineering Zhejiang University Hangzhou 310027 China;
2. Zhejiang Provincial Key Laboratory of Renewable Energy Electrical Technology and Systems Hangzhou 310027 China
Renewable energy and other devices are connected to the grid through the power electronic converter. The system voltage support strength (refferd to as “system strength”)characterizes the ability of power electronic converter-based multi-infeed systems (refferd to as “multi-infeed systems”) to resist voltage instability or deviation at nodes after disturbances. However, in most engineering practice and existing research, the system strength is often indirectly characterized from a single grid perspective, with limited investigation into the influence from grid impedance and network topology. In fact, the post-disturbance node voltage response represents a dynamic behavior of the entire system, and conventional methods may overlook the influence patterns of multi-converter characteristics on system strength. Also, existing studies fail to establish generalized impact mechanisms through which multi-converter characteristics influence system strength, due to the complex interactions among multiple converters. These limitations introduce challenges for planning, operation, and source-grid coordination of multi-infeed systems.
To fill this gap, this paper first introduces the concept of converter diversity to describe how differentiated features of multi-infeed converters—including operating power factors, operational states, and grid-following/grid-forming control strategies—affect system strength. Secondly, we review quantification methods for system strength of the multi-infeed system that consider closed-loop dynamic characteristics of multiple converters and the grid, establishing corresponding evaluation metrics for system strength from three analytical dimensions: voltage stability, synchronization stability, and disturbance rejection capability. Furthermore, we comparatively analyze the impacts of uniform versus diversified converter operating conditions and control strategies on system strength metrics across different dimensions. Through mathematical analysis of the evaluation metrics, we analytically demonstrate several enhancement mechanisms by which converter diversity improves system strength. Finally, simulation cases validate the effectiveness of the analytical results.
The key conclusions can be summarized as follows: 1) Implementing diversified power factor settings among grid-following multiple converters enhances system strength in the static voltage stability demension. This configuration provides superior static voltage stability margin in multi-infeed systems when compared to homogeneous power factor operation scenarios. 2) The diversified operation of grid-following multiple converters in hybrid generation-charging modes (e.g., co-deployment of renewable generation and energy storage systems) enhances system strength in the small-signal synchronization stability demension. This operational strategy achieves improved small-signal synchronization stability margins in multi-infeed systems relative to exclusive generation-mode operation paradigms (e.g., pure renewable energy integration). 3) The diversified control schemes of multiple converters in hybrid grid-following and grid-forming modes enhances system strength in the voltage disturbance rejection capability demension. Compared to homogeneous converter configurations, this heterogeneous converter architecture exhibits enhanced operational adaptability, particularly under varying grid conditions.
Future research will focus on investigating the enhancement patterns of system strength through diversity in control parameters and other factors. This will involve developing optimization strategies for practical engineering applications such as configuration of grid-forming equipment in renewable energy stations.
马富艺龙, 辛焕海, 李知艺, 黄林彬, 鞠平. 多馈入系统中变流器多样性对系统强度的影响分析[J]. 电工技术学报, 0, (): 250434-.
Ma Fuyilong, Xin Huanhai, Li Zhiyi, Huang Linbin, Ju Ping. Impact Analysis of Converter Diversity on System Strength in Multi-Infeed Power System. Transactions of China Electrotechnical Society, 0, (): 250434-.
[1] 舒印彪, 陈国平, 贺静波, 等. 构建以新能源为主体的新型电力系统框架研究[J]. 中国工程科学, 2021, 23(6): 61-69.
Shu Yinbiao, Chen Guoping, He Jingbo, et al.Building a new electric power system based on new energy sources[J]. Strategic Study of CAE, 2021, 23(6): 61-69.
[2] IEEE. IEEE Standard for Interconnection and Interoperability of Inverter-Based Resources (IBRs) Interconnecting with Associated Transmission Electric Power Systems[S]. IEEE Standard 2800TM-2022, 2022.
[3] 高磊, 吕敬, 马骏超, 等. 基于电路等效的并网逆变器失稳分析与稳定控制[J]. 电工技术学报, 2024, 39(8): 2325-2341.
Gao Lei, Lü Jing, Ma Junchao, et al.Instability analysis and stability control of grid-connected inverter based on impedance circuit equivalent[J]. Transactions of China Electrotechnical Society, 2024, 39(8): 2325-2341.
[4] Davies J.CIGRE WG B4.41 report:Systems with multiple DC infeed[R].CIGRE Electra,2007.
[5] 孙华东, 徐式蕴, 许涛, 等. 新能源多场站短路比定义及指标[J]. 中国电机工程学报, 2021, 41(2): 497-506.
Sun Huadong, Xu Shiyun, Xu Tao, et al.Definition and index of short circuit ratio for multiple renewable energy stations[J]. Proceedings of the CSEE, 2021, 41(2): 497-506.
[6] 辛焕海, 董炜, 袁小明, 等. 电力电子多馈入电力系统的广义短路比[J]. 中国电机工程学报, 2016, 36(22): 6013-6027.
Xin Huanhai, Dong Wei, Yuan Xiaoming, et al.Generalized short circuit ratio for multi power electronic based devices infeed to power systems[J]. Proceedings of the CSEE, 2016, 36(22): 6013-6027.
[7] 周瑀涵, 辛焕海, 鞠平. 基于广义短路比的多馈入系统强度量化原理与方法: 回顾、探讨与展望[J]. 中国电机工程学报, 2023, 43(10): 3794-3811.
Zhou Yuhan, Xin Huanhai, Ju Ping.System strength quantification principle and method of multi-infeed systems based on generalized short-circuit ratio: reviews, discussions and outlooks[J]. Proceedings of the CSEE, 2023, 43(10): 3794-3811.
[8] Henderson C, Egea-Alvarez A, Kneuppel T, et al.Grid strength impedance metric: an alternative to SCR for evaluating system strength in converter dominated systems[J]. IEEE Transactions on Power Delivery, 2024, 39(1): 386-396.
[9] Zhu Yue, Green T C, Zhou Xiaoyao, et al.Impedance margin ratio: a new metric for small-signal system strength[J]. IEEE Transactions on Power Systems, 2024, 39(6): 7291-7303.
[10] Huang Liang, Wu Chao, Zhou Dao, et al.Impact of grid strength and impedance characteristics on the maximum power transfer capability of grid-connected inverters[J]. Applied Sciences, 2021, 11(9): 4288.
[11] Yuan Hui, Xin Huanhai, Wu Di, et al.Assessing maximal capacity of grid-following converters with grid strength constraints[J]. IEEE Transactions on Sustainable Energy, 2022, 13(4): 2119-2132.
[12] He Xiuqiang, Häberle V, Dörfler F.Complex-frequency synchronization of converter-based power systems[J]. IEEE Transactions on Control of Network Systems, 2025, 12(1): 787-799.
[13] Skogestad S,Postelethwaite I.Multivariable Feedback.Control[M]. New York:Wiley Publishing, 1996.
[14] 周双喜. 电力系统电压稳定性及其控制[M]. 北京: 中国电力出版社, 2004.
[15] Wang Xiongfei, Blaabjerg F.Harmonic stability in power electronic-based power systems: concept, modeling, and analysis[J]. IEEE Transactions on Smart Grid, 2019, 10(3): 2858-2870.
[16] Liang Maowei, Baiser B, Hallett L M, et al.Consistent stabilizing effects of plant diversity across spatial scales and climatic gradients[J]. Nature Ecology & Evolution, 2022, 6(11): 1669-1675.
[17] Zhang Fuzhen.Matrix Theory: Basic Results and Techniques[M]. 2nd ed. New York: Springer, 2011.
[18] Liu Chenxi, Xin Huanhai, Wu Di, et al.Generalized operational short-circuit ratio for grid strength assessment in power systems with high renewable penetration[J]. IEEE Transactions on Power Systems, 2024, 39(4): 5479-5494.
[19] 黄萌, 舒思睿, 李锡林, 等. 面向同步稳定性的电力电子并网变流器分析与控制研究综述[J]. 电工技术学报, 2024, 39(19): 5978-5994.
M. Huang, S. Shu, X. Li, et al.A Review of Synchronization-Stability-Oriented Analysis and Control of Power Electronic Grid-Connected Converters[J]. Transactions of China Electrotechnical Society, 2024, 39(19): 5978-5994(in Chinese).
[20] Yang Ziqian, Zhan Meng, Liu Dan, et al.Small-signal synchronous stability of a new-generation power system with 100% renewable energy[J]. IEEE Transactions on Power Systems, 2023, 38(5): 4269-4280.
[21] Harnefors L.Proof and application of the positive-net-damping stability criterion[J]. IEEE Transactions on Power Systems, 2011, 26(1): 481-482.
[22] Cheng Yunzhi, Fan Lingling, Rose J, et al.Real-world subsynchronous oscillation events in power grids with high penetrations of inverter-based resources[J]. IEEE Transactions on Power Systems, 2023, 38(1): 316-330.
[23] 杨超然, 辛焕海, 宫泽旭, 等. 变流器并网系统复电路分析与广义阻抗判据适用性探讨[J]. 中国电机工程学报, 2020, 40(15): 4744-4758.
Yang Chaoran, Xin Huanhai, Gong Zexu, et al.Complex circuit analysis and investigation on applicability of generalized-impedance-based stability criterion for grid-connected converter[J]. Proceedings of the CSEE, 2020, 40(15): 4744-4758.
[24] Xin Huanhai, Liu Chenxi, Chen Xia, et al.How many grid-forming converters do we need? A perspective from small signal stability and power grid strength[J]. IEEE Transactions on Power Systems, 2025, 40(1): 623-635.
[25] 马富艺龙, 辛焕海, 刘晨曦, 等. 新能源基地柔性直流送出系统小扰动电压支撑强度评估[J]. 电工技术学报, 2023, 38(21): 5758-5770, 5938.
Ma Fuyilong, Xin Huanhai, Liu Chenxi, et al.Small-disturbance system voltage support strength assessment method for renewables VSC-HVDC delivery system[J]. Transactions of China Electrotechnical Society, 2023, 38(21): 5758-5770, 5938.
[26] Zhang F.The Schur complement and its applications. in Numerical methods and algorithms[M]. New York: Springer Science and Business Media, 2005.