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Most previously proposed controllers are analyzed in the small-signal/quasi-steady regime rather than large-signal or transient stability for grid-forming inverters (GFMI). Additionally, methods that presume system-wide data--global…

Systems and Control · Electrical Eng. & Systems 2025-09-12 Qianxi Tang , Li Peng

With the advancement of the idea of the HVDC grid, it becomes imperative to study the interaction of controller and identification of modes of oscillations. The paper presents the complete model of HVDC grid with detailed modeling of…

Systems and Control · Computer Science 2019-04-16 Lokesh Dewangan , Himanshu J. Bahirat

The fundamental mechanism of transient stability of the conventional power system can be physically understood with the rotor swing dynamics of synchronous generators (SGs). The basic factor affecting the transient stability is the…

Systems and Control · Electrical Eng. & Systems 2020-10-27 Xiuqiang He , Hua Geng

Traditional centralized stability analysis struggles with scalability in large complex modern power grids. This two-part paper proposes a compositional and equilibrium-free approach to analyzing power system stability. In Part I, we prove…

Systems and Control · Electrical Eng. & Systems 2025-06-16 Peng Yang , Xiaoyu Peng , Xi Ru , Hua Geng , Feng Liu

With recent developments in offshore grid architectures, power park modules (PPMs) such as clusters of offshore wind power plants (OWPPs) are increasingly interconnected offshore. Consequently, it is necessary to assess how integrating a…

Systems and Control · Electrical Eng. & Systems 2026-05-25 Germano Rugendo Mugambi , Behnam Nouri , Oscar Saborío-Romano , George Alin Raducu , Nicolaos A. Cutululis

This article deals with input-to-state stability (ISS) of continuous-time switched nonlinear systems. Given a family of systems with exogenous inputs such that not all systems in the family are ISS, we characterize a new and general class…

Systems and Control · Computer Science 2017-11-27 Atreyee Kundu , Debasish Chatterjee , Daniel Liberzon

This paper presents an analytical approach to explore the damping effect of inner loops on grid-forming converters. First, an impedance model is proposed to characterize the behaviors of inner loops, thereby illustrating their influence on…

Systems and Control · Electrical Eng. & Systems 2023-10-17 Liang Zhao , Xiongfei Wang , Zheming Jin

As bulk synchronous generators in the power grid are replaced by distributed generation interfaced through power electronics, inertia is removed from the system, prompting concerns over grid stability. Different metrics are available for…

Optimization and Control · Mathematics 2017-03-09 Mohammad Pirani , John W. Simpson-Porco , Baris Fidan

Virtual inertia is an effective control approach to attenuate sudden voltage changes during transient events in low-inertia DC grids. While methods have been proposed to implement virtual inertia, its impact on DC grid stability in the…

Systems and Control · Electrical Eng. & Systems 2023-02-09 Hao Tu , Hui Yu , Srdjan Lukic

The existing decentralized control for cascaded inverters is based on the assumption that all modules have same capacities, and a local fixed-amplitude-varied-phase voltage control is adopted for each inverter module. However, available…

Signal Processing · Electrical Eng. & Systems 2018-12-21 Xiaochao Hou , Yao Sun , Xin Zhang , Jinsong He , Josep Pou

Grid-following and grid-forming inverters are integral components of microgrids and for integration of renewable energy sources with the grid. For grid following inverters, which need to emulate controllable current sources, a significant…

Systems and Control · Electrical Eng. & Systems 2022-07-07 Soham Chakraborty , Sourav Patel , Murti V Salapaka

The increasing integration of renewable energy sources into electrical grids necessitates a paradigm shift toward advanced control schemes that guarantee safe and stable operations with scalable properties. Accordingly, this paper…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Cornelia Skaga , Mahdieh S. Sadabadi , Gilbert Bergna-Diaz

This paper addresses the stability analysis and state estimation of generalized Persidskii systems subject to time-varying delays and external disturbances. The generalized Persidskii class, which couples linear dynamics with sector-bounded…

Systems and Control · Electrical Eng. & Systems 2026-05-04 Syed Pouladi

This paper derives closed-form solutions for grid-forming converters with power synchronization control (PSC) by subtly simplifying and factorizing the complex closed-loop models. The solutions can offer clear analytical insights into…

Systems and Control · Electrical Eng. & Systems 2023-12-05 Fangzhou Zhao , Tianhua Zhu , Lennart Harnefors , Bo Fan , Heng Wu , Zichao Zhou , Yin Sun , Xiongfei Wang

We consider nonlinear control systems of the so-called generalized triangular form (GTF) with time-varying and periodic dynamics which linearly depends on some external disturbances. Our purpose is to construct a feedback controller which…

Dynamical Systems · Mathematics 2010-08-30 Sergey Dashkovskiy , Svyatoslav S. Pavlichkov

This work focuses on grid-forming (GFM) control of Interconnecting Power Converters (IPCs) that are used to interconnect multiple HVAC and HVDC subgrids to form a grid of grids. We introduce the concept of dual-port GFM control that…

Systems and Control · Electrical Eng. & Systems 2022-03-07 Dominic Groß , Sánchez-Sánchez , Eduardo Prieto-Araujo , Oriol Gomis-Bellmunt

Renewables will soon dominate energy production in our electric power system. And yet, how to integrate renewable energy into the grid and the market is still a subject of major debate. Decentral Smart Grid Control (DSGC) was recently…

Adaptation and Self-Organizing Systems · Physics 2016-10-31 Benjamin Schäfer , Carsten Grabow , Sabine Auer , Jürgen Kurths , Dirk Witthaut , Marc Timme

This paper provides a comparative analysis of impedance models for power electronic converters and systems for the purpose of stability investigations. Such models can be divided into either decoupled models or matrix models. A decoupled…

Systems and Control · Computer Science 2016-10-18 Atle Rygg , Marta Molinas , Chen Zhang , Xu Cai

We consider the problem of grid-forming control of power converters in low-inertia power systems. Starting from an average-switch three-phase inverter model, we draw parallels to a synchronous machine (SM) model and propose a novel…

Optimization and Control · Mathematics 2018-04-27 Catalin Arghir , Taouba Jouini , Florian Dorfler

This paper proposes a framework to assess the stability of an ordinary differential equation which is coupled to a 1D-partial differential equation (PDE). The stability theorem is based on a new result on Integral Quadratic Constraints…

Optimization and Control · Mathematics 2026-03-03 Matthieu Barreau , Carsten W. Scherer , Frederic Gouaisbaut , Alexandre Seuret