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arXiv · 1902.02478

Singular Perturbation and Small-signal Stability for Inverter Networks

Saber Jafarpour·Victor Purba·Sairaj V. Dhople·Brian Johnson·Francesco Bullo
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Abstract

This paper examines small-signal stability of electrical networks composed dominantly of three-phase grid-following inverters. We show that the mere existence of a high-voltage power flow solution does not necessarily imply small-signal stability; this motivates us to develop a framework for stability analysis that systematically acknowledges inverter dynamics. We identify a suitable time-scale decomposition for the inverter dynamics, and using singular perturbation theory, obtain an analytic sufficient condition to verify small-signal stability. Compared to the alternative of performing an eigenvalue analysis of the full-order network dynamics, our analytic sufficient condition reduces computational complexity and yields insights on the role of network topology and constitution as well as inverter-filter and control parameters on small-signal stability. Numerical simulations for a radial network validate the approach and illustrate the efficiency of our analytic conditions for designing and monitoring grid-tied inverter networks.

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Saber Jafarpour, Victor Purba, Sairaj V. Dhople, Brian Johnson, Francesco Bullo. 2019-02-07. Singular Perturbation and Small-signal Stability for Inverter Networks. https://arxiv.org/abs/1902.02478

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