Effects of Line Dynamics on Stability Margin to Hopf Bifurcation in Grid-Forming Inverters

Fuente: arXiv
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Autores principales: Chatterjee, Sushobhan, Geng, Sijia
Formato: Preprint
Publicado: 2024
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author Chatterjee, Sushobhan
Geng, Sijia
author_facet Chatterjee, Sushobhan
Geng, Sijia
contents This paper studies the parameter sensitivity of grid-forming inverters to Hopf bifurcations to address oscillatory instability. An analytical expression for the sensitivity of the stability margin is derived based on the normal vector to the bifurcation hypersurface. We identify the most effective control parameters through comprehensive analysis. In particular, the impacts of line dynamics on the stability margin to Hopf bifurcation are investigated. The results indicate that the feedforward gain in the voltage control loop is the most effective parameter for enhancing the stability margin. Furthermore, it is observed that line dynamics introduce a uniform reduction in the stability margin across all parameters. However, the reduction is generally small for most parameters except for the voltage-reactive power droop gain, which shows a more pronounced effect.
format Preprint
id arxiv_https___arxiv_org_abs_2412_15449
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Effects of Line Dynamics on Stability Margin to Hopf Bifurcation in Grid-Forming Inverters
Chatterjee, Sushobhan
Geng, Sijia
Systems and Control
This paper studies the parameter sensitivity of grid-forming inverters to Hopf bifurcations to address oscillatory instability. An analytical expression for the sensitivity of the stability margin is derived based on the normal vector to the bifurcation hypersurface. We identify the most effective control parameters through comprehensive analysis. In particular, the impacts of line dynamics on the stability margin to Hopf bifurcation are investigated. The results indicate that the feedforward gain in the voltage control loop is the most effective parameter for enhancing the stability margin. Furthermore, it is observed that line dynamics introduce a uniform reduction in the stability margin across all parameters. However, the reduction is generally small for most parameters except for the voltage-reactive power droop gain, which shows a more pronounced effect.
title Effects of Line Dynamics on Stability Margin to Hopf Bifurcation in Grid-Forming Inverters
topic Systems and Control
url https://arxiv.org/abs/2412.15449