SYSYJun 3

Small-Signal Analyses Using Analytical IBR Models and Frequency-Dependent Thévenin Equivalents

arXiv:2606.0453849.9
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For power system engineers analyzing stability in inverter-based resource networks, this work addresses a practical bottleneck in small-signal analysis accuracy.

This paper investigates whether component-level small-signal analyses can capture additional interactions when the network connected to a VSC is a complex IBR-based network rather than a simple Thévenin equivalent. The study found that spurious poles at 50Hz from dq-frame conversion hinder participation factor analysis, and proposes a two-step approach using Hankel reduction and manual elimination to address this.

This paper investigates whether component-level studies can capture additional interactions through Small Signal Analysis (SSA) when the network connected to the Voltage Source Converter (VSC), typically modeled as a simple Thevenin Equivalent, is a more complex IBR-based network. The research investigates cases ranging from basic analytical to an IEEE 9-Bus EMT model, with and without Inverter-Based Resources (IBRs), synthesized as State-Space elements. The study identified that spurious poles at 50Hz related to dq-frame conversion can hinder the accuracy of participation factor analysis. A potential approach involves a two-step process: first, applying Henkel reduction to remove most spurious poles, followed by manual elimination of any remaining ones.

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