Identification of Stability Regions in Inverter-Based Microgrids
| Autor: | Janusz Bialek, Petr Vorobev, Jimmy Chih-Hsien Peng, Andrey Gorbunov |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Computational complexity theory
Computer science Energy Engineering and Power Technology Boundary (topology) Topology (electrical circuits) Systems and Control (eess.SY) Topology Electrical Engineering and Systems Science - Systems and Control Stability (probability) FOS: Electrical engineering electronic engineering information engineering Node (circuits) Voltage droop Electrical and Electronic Engineering Laplacian matrix Eigenvalues and eigenvectors |
| DOI: | 10.48550/arxiv.2111.01028 |
| Popis: | A new method for the stability assessment of inverter-based microgrids is presented in this paper. Directly determining stability boundaries by searching the multidimensional space of inverters' droop gains is a computationally prohibitive task. Instead, we build a certified stability region by utilizing a generalized Laplacian matrix eigenvalues, which are a measure of proximity to stability boundary. We establish an upper threshold for the eigenvalues that determines the stability boundary of the entire system and demonstrate that this value depends only on the network's R/X ratio but does not depend on the grid topology. We also provide a conservative upper threshold of the eigenvalues that are universal for any systems within a reasonable range of R/X ratios. We then construct approximate certified stability regions representing convex sets in the multidimensional space of droop gains that could be utilized for gains optimization. We show how the certified stability region can be maximized by properly choosing droop gains, and we provide closed-form analytic expressions for the certified stability regions. The computational complexity of our method is almost independent of the number of inverters. The proposed methodology has been tested using IEEE 123 node test system with 10 inverters. Comment: 11 pages, 10 figures, submitted to IEEE Trans. Power Systems. arXiv admin note: text overlap with arXiv:2007.09347 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|