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We consider the problem of stability analysis for distribution grids with droop-controlled inverters and dynamic distribution power lines. The inverters are modeled as voltage sources with controllable frequency and amplitude. This problem…

Systems and Control · Electrical Eng. & Systems 2020-03-27 Stefanos Baros , Christoforos N. Hadjicostis , Francis O'Sullivan

The paper is now published in PRX Enegry. Please refer to the PRX version from now on. Anna B\"uttner and Frank Hellmann. "Complex Couplings-A Universal, Adaptive, and Bilinear Formulation of Power Grid Dynamics." The energy transition…

Adaptation and Self-Organizing Systems · Physics 2024-03-19 Anna Büttner , Frank Hellmann

The notion of Virtual Power Plant (VPP) has been used many times in last years in power systems and for several reasons. As a general trend, the behavior of a classic synchronous generator is to be emulated for a class of conventional grid…

Systems and Control · Electrical Eng. & Systems 2021-08-03 B. Marinescu , O. Gomis-Bellmunt , F. Dörfler , H. Schulte , L. Sigrist

The integration of converter-interfaced generation introduces new transient stability challenges to modern power systems. Classical Lyapunov- and scalable passivity-based approaches typically rely on restrictive assumptions, and finding…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Yifei Wang , Han Wang , Kehao Zhuang , Keith Moffat , Florian Dörfler

A widely embraced approach to mitigate the dynamic degradation in low-inertia power systems is to mimic generation response using grid-connected inverters to restore the grid's stiffness. In this paper, we seek to challenge this approach…

Systems and Control · Electrical Eng. & Systems 2019-08-30 Yan Jiang , Richard Pates , Enrique Mallada

This paper addresses the problem of voltage regulation in a power distribution grid using the reactive power injections of grid-connected power inverters. We first discuss how purely local voltage control schemes cannot regulate the…

Systems and Control · Electrical Eng. & Systems 2022-02-14 Lukas Ortmann , Alexander Prostejovsky , Kai Heussen , Saverio Bolognani

The transient stability of traditional power systems is concerned with the ability of generators to stay synchronized with the positive-sequence voltage of the network, whether for symmetrical or asymmetrical faults. In contrast, both…

Systems and Control · Electrical Eng. & Systems 2021-07-26 Xiuqiang He , Changjun He , Sisi Pan , Hua Geng , Feng Liu

Inverter-based resources (IBRs) are a key component in the ongoing modernization of power systems, with grid-forming (GFM) inverters playing a central role. Effective fault current limiting is a major challenge to modernizing power systems…

Systems and Control · Electrical Eng. & Systems 2025-05-19 Zaid Ibn Mahmood , Hantao Cui , Ying Zhang

Recent work has proposed a universal framework that integrates the well-established power synchronization control into vector current control. Using this controller for the parallel operation of grid-forming converters, and/or with loads…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Orcun Karaca , Irina Subotic , Lennart Harnefors , Ioannis Tsoumas

Artificial intelligence and machine learning is enhancing electric grids by offering data analysis tools that can be used to operate the power grid more reliably. However, the complex nonlinear dynamics, particularly when coupled with…

Systems and Control · Electrical Eng. & Systems 2024-03-15 Reza Saeed Kandezy , John Ning Jiang

Power systems with a high penetration of renewable generation are vulnerable to frequency oscillation and voltage instability. Traditionally, the stability of power systems is considered either in terms of local stability or as an angle…

Systems and Control · Electrical Eng. & Systems 2025-07-31 Xinyuan Jiang , Constantino M. Lagoa , Daning Huang , Yan Li

The expansion of inverter-connected generation facilities (i.e. wind and photovoltaics) and the removal of conventional power plants is necessary to mitigate the impacts of climate change. Whereas conventional generation with large rotating…

Adaptation and Self-Organizing Systems · Physics 2020-01-20 Philipp C. Böttcher , Andreas Otto , Stefan Kettemann , Carsten Agert

In a phase-locked loop (PLL) synchronized inverter, due to the strong nonlinear coupling between the PLL's parame-ters and the operation power angle, the equivalent damping coefficient will quickly deteriorate while the power angle is close…

Systems and Control · Electrical Eng. & Systems 2024-01-05 Yi Zhou , Zhouchen Deng , Shi Chen , Yiwei Qiu , Tianlei Zang , Buxiang Zhou

In autonomous microgrids frequency regulation (FR) is a critical issue, especially with a high level of penetration of the photovoltaic (PV) generation. In this study, a novel virtual synchronous generator (VSG) control for PV generation…

Systems and Control · Electrical Eng. & Systems 2021-07-13 Cheng Zhong , Huayi Li , Yang Zhou , Yueming Lv , Jikai Chen , Yang Li

Power systems are subject to fundamental changes due to the increasing infeed of decentralised renewable energy sources and storage. The decentralised nature of the new actors in the system requires new concepts for structuring the power…

Adaptation and Self-Organizing Systems · Physics 2020-04-22 Lia Strenge , Paul Schultz , Jürgen Kurths , Jörg Raisch , Frank Hellmann

We consider the problem of voltage stability and reactive power balancing in islanded small-scale electrical networks outfitted with DC/AC inverters ("microgrids"). A droop-like voltage feedback controller is proposed which is quadratic in…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco , Florian Dorfler , Francesco Bullo

This paper investigates the performance of a microgrid with droop-controlled inverters in terms of the total power losses incurred in maintaining synchrony under persistent small disturbances. The inverters are modeled with variable…

Optimization and Control · Mathematics 2016-02-01 Emma Tegling , Dennice F. Gayme , Henrik Sandberg

This letter proposes a dual model for grid-forming (GFM) controlled converters. The model is inspired from the observation that the structures of the active and reactive power equations of lossy synchronous machine models are almost…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Federico Milano

Due to the increasing popularity of DC loads and the potential for higher efficiency, DC microgrids are gaining significant attention. DC microgrids utilize multiple parallel converters to deliver sufficient power to the load. However, a…

Systems and Control · Electrical Eng. & Systems 2024-06-12 Naser Souri , Ali Mehrizi-Sani

Time-varying renewable energy generation can result in serious under-/over-voltage conditions in future distribution grids. Augmenting conventional utility-owned voltage regulating equipment with the reactive power capabilities of…

Systems and Control · Computer Science 2015-08-27 Vassilis Kekatos , Liang Zhang , Georgios B. Giannakis , Ross Baldick
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