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Main Authors: Li, Zhenyao, Liao, Shengwen, Zhang, Qian, Zhang, Xuechun, Gan, Deqiang
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2505.13838
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author Li, Zhenyao
Liao, Shengwen
Zhang, Qian
Zhang, Xuechun
Gan, Deqiang
author_facet Li, Zhenyao
Liao, Shengwen
Zhang, Qian
Zhang, Xuechun
Gan, Deqiang
contents Integration of renewable resources is profoundly reshaping the dynamics of modern power systems. This study shows that the voltage dynamics of power systems with multiple grid-forming (GFM) converters often enjoys a desirable property called input-output monotonicity. A systematic approach for computing the derivatives of the voltage subsystem is presented first, which provides insight into the structural characteristics of these models. Next, the sign pattern of the trajectory Jacobian matrix associated with the voltage subsystem is analyzed and revealed. The analysis indicates that the voltage dynamics of power systems often exhibits the so-called input-output monotonicity property. The theoretical results are then validated through several simulation examples, underscoring their practical implications.
format Preprint
id arxiv_https___arxiv_org_abs_2505_13838
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the Input-Output Monotonicity of Voltage Dynamics of Power System with Grid-Forming Converters
Li, Zhenyao
Liao, Shengwen
Zhang, Qian
Zhang, Xuechun
Gan, Deqiang
Systems and Control
Integration of renewable resources is profoundly reshaping the dynamics of modern power systems. This study shows that the voltage dynamics of power systems with multiple grid-forming (GFM) converters often enjoys a desirable property called input-output monotonicity. A systematic approach for computing the derivatives of the voltage subsystem is presented first, which provides insight into the structural characteristics of these models. Next, the sign pattern of the trajectory Jacobian matrix associated with the voltage subsystem is analyzed and revealed. The analysis indicates that the voltage dynamics of power systems often exhibits the so-called input-output monotonicity property. The theoretical results are then validated through several simulation examples, underscoring their practical implications.
title On the Input-Output Monotonicity of Voltage Dynamics of Power System with Grid-Forming Converters
topic Systems and Control
url https://arxiv.org/abs/2505.13838