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2510.26953 2026-05-24 eess.SY cs.SY

Quantifying Grid-Forming Behavior: Bridging Device-Level Dynamics and System-Level Strength

量化构网行为:连接设备级动态与系统级强度

Kehao Zhuang, Huanhai Xin, Verena Häberle, Xiuqiang He, Linbin Huang, Florian Dörfler

AI总结 本文研究了电网形成(GFM)技术在电力系统中的行为量化问题,提出了一个从设备层到系统层的统一分析框架。在设备层面,引入了“形成指数”(FI)来量化换流器对电网电压波动的响应能力;在系统层面,提出了一种新的系统强度度量方法,用于评估多节点电压刚度及其对扰动的响应。研究进一步证明了GFM换流器能够增强系统强度,为GFM装置的设计、优化布局和系统稳定性评估提供了统一的基准。

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On arXiv, we initially submitted the short version, arXiv:2503.24152, and then submitted the long version, arxiv:2510.26953. However, the short version was rejected by journal. Since the short version was posted in arxiv earlier, we would like to merge the latest manuscript of the long version into the short version, for which we have already submitted an update, and then withdraw the long version
AI中文摘要

构网(GFM)技术被广泛认为是未来以电力电子为主导的电力系统的有前途的解决方案。然而,精确量化GFM变流器行为的方法以及普遍接受的GFM定义仍然难以捉摸。此外,GFM对系统稳定性的影响尚未精确量化,导致设备级和系统级之间存在显著脱节。为了从小信号角度解决这些差距,在设备级,我们引入了一个新的度量——构网指数(FI),用于量化变流器对电网电压波动的响应。FI不是列举各种控制架构,而是通过量化变流器对电网变化的敏感度,提供变流器GFM能力的度量。在系统级,我们提出了一种新的系统强度定量度量,该度量捕捉多母线电压刚度,量化多个母线对电流或功率扰动的电压和相角响应。我们进一步将该概念扩展并定义为电网强度和母线强度,以识别系统内的薄弱区域。最后,我们通过正式证明GFM变流器增强系统强度,连接了设备级和系统级。我们提出的框架为GFM变流器设计、最优布局和系统稳定性评估提供了统一的基准。

英文摘要

Grid-forming (GFM) technology is widely regarded as a promising solution for future power systems dominated by power electronics. However, a precise method for quantifying GFM converter behavior and a universally accepted GFM definition remain elusive. Moreover, the impact of GFM on system stability is not precisely quantified, creating a significant disconnect between device and system levels. To address these gaps from a small-signal perspective, at the device level, we introduce a novel metric, the Forming Index (FI) to quantify a converter's response to grid voltage fluctuations. Rather than enumerating various control architectures, the FI provides a metric for the converter's GFM ability by quantifying its sensitivity to grid variations. At the system level, we propose a new quantitative measure of system strength that captures the multi-bus voltage stiffness, which quantifies the voltage and phase angle responses of multiple buses to current or power disturbances. We further extend and define this concept to grid strength and bus strength to identify weak areas within the system. Finally, we bridge the device and system levels by formally proving that GFM converters enhance system strength. Our proposed framework provides a unified benchmark for GFM converter design, optimal placement, and system stability assessment.