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This paper explores the stability of nonsynchronous hybrid ac/dc power grids under the grid-forming hybrid angle control strategy. We formulate dynamical models for the ac grids and transmission lines, interlinking converters, and dc…

Optimization and Control · Mathematics 2022-03-24 Ali Tayyebi , Florian Dörfler

Optimal pulse patterns (OPPs) are a modulation technique in which a switching signal is computed offline through an optimization process that accounts for selected performance criteria, such as current harmonic distortion. The optimization…

Systems and Control · Electrical Eng. & Systems 2025-12-10 Jared Miller , Petros Karamanakos , Tobias Geyer

With an increasing share of renewable energy sources, accurate and efficient modeling of grid-forming inverters is becoming crucial for system stability. Linear methods are a powerful tool for understanding dynamics close to an operating…

Systems and Control · Electrical Eng. & Systems 2025-06-30 Jakob Niehues , Anna Büttner , Anne Riegler , Frank Hellmann

A unified virtual oscillator controller (uVOC) is proposed, which enables a unified analysis, design, and implementation framework for both grid-forming (GFM) and grid-following (GFL) voltage source converters (VSCs). Oscillator based GFM…

Systems and Control · Electrical Eng. & Systems 2020-07-14 M A Awal , Iqbal Husain

This paper considers the control of AC-AC inter-linking converters (ILCs) in a multi-grid network. We overview the control schemes in the literature and propose a passivity framework for the stabilization of multi-grid networks, considering…

Systems and Control · Electrical Eng. & Systems 2024-02-09 Jeremy Watson , Ioannis Lestas

DC microgrids are getting more and more applications due to simple converters, only voltage control and higher efficiencies compared to conventional AC grids. Droop control is a well know decentralized control strategy for power sharing…

Systems and Control · Electrical Eng. & Systems 2024-09-18 Muhammad Anees , Lisa Qi , Mario Schweizer , Srdjan Lukic

Grid-forming inverter-based autonomous microgrids present new operational challenges as the stabilizing rotational inertia of synchronous machines is absent. The design of efficient control policies for grid-forming inverters is, however, a…

Optimization and Control · Mathematics 2023-01-18 Yemi Ojo , Jeremy D. Watson , Khaled Laib , Ioannis Lestas

We prove that a group of injection-locked oscillators, each modelled using a nonlinear phase macromodel, responds as a single oscillator to small external perturbations. More precisely, we show that any group of injection-locked oscillators…

Chaotic Dynamics · Physics 2012-09-11 Jaijeet Roychowdhury

Modern power systems increasingly rely on power electronic converters, yet many of these devices are provided as black-box models, limiting the applicability of conventional small-signal analysis (SSA) tools. This work presents a unified…

We explore analytically the oscillation quenching phenomena (amplitude death and oscillation death) in a coupled third order phase locked loop (PLL) both in periodic and chaotic mode. The phase locked loops are coupled through mean field…

Chaotic Dynamics · Physics 2016-11-15 S Chakraborty , M Dandapathak , B C Sarkar

The electrical grid is evolving from a network consisting of mostly synchronous machines to a mixture of synchronous machines and inverter-based resources such as wind, solar, and energy storage. This transformation has led to a decrease in…

Systems and Control · Electrical Eng. & Systems 2020-07-29 Atinuke Ademola-Idowu , Baosen Zhang

The significant electrical distance between wind power collection points and the main grid poses challenges for weak grid-connected wind power systems. A new type of voltage oscillation phenomenon induced by repeated low voltage…

Systems and Control · Electrical Eng. & Systems 2024-05-09 Qiping Lai , Chen Shen , Dongsheng Li

Absolute stability is a technique for analyzing the stability of Lur'e systems, which arise in diverse applications, such as oscillators with nonlinear damping or nonlinear stiffness. A special class of Lur'e systems consists of…

Systems and Control · Electrical Eng. & Systems 2024-09-21 Juan A. Paredes , Dennis S. Bernstein

Model predictive control (MPC) has proven its applicability in power conversion control with its fast dynamic response to reference changes while ensuring critical system constraints are satisfied. Even then, the computational burden still…

Systems and Control · Electrical Eng. & Systems 2024-06-25 Orcun Karaca , Georgios Darivianakis

Probabilistic spin logic (PSL) is a recently proposed computing paradigm based on unstable stochastic units called probabilistic bits (p-bits) that can be correlated to form probabilistic circuits (p-circuits). These p-circuits can be used…

Emerging Technologies · Computer Science 2018-11-05 Ahmed Zeeshan Pervaiz , Brian M. Sutton , Lakshmi Anirudh Ghantasala , Kerem Y. Camsari

Grid-synchronization stability (GSS) is an emerging stability issue of grid-tied voltage source converters (VSCs), which can be provoked by severe grid voltage sags. Although a qualitative understanding of the mechanism behind the loss of…

Systems and Control · Electrical Eng. & Systems 2021-05-25 Yu Zhang , Chen Zhang , Xu Cai

We estimate the lock-in domain of the origin of a current control system which is used in common DC/AC inverter designs. The system is a cascade connection of a 4-dimensional linear system (current controller, CC) followed by a…

Optimization and Control · Mathematics 2026-02-03 Anton Ponomarev , Lutz Gröll , Veit Hagenmeyer

In this paper, we propose several rules to tune the gains for a class of passivity-based controllers for nonlinear mechanical systems. Such tuning rules prescribe a desired local transient response behavior to the closed-loop system. To…

Systems and Control · Electrical Eng. & Systems 2020-12-18 Carmen Chan-Zheng , Pablo Borja , Jacquelien M. A. Scherpen

Subsynchronous oscillations (SSOs) involving grid-following converters (GFLCs) connected to weak grids are a relatively new phenomena observed in modern power systems. SSOs are further exacerbated when grids become weaker because lines are…

Optimization and Control · Mathematics 2025-01-13 Sina Ameli , Lilan Karunaratne , Nilanjan Ray Chaudhuri , Constantino Lagoa

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