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The concept of complex frequency has been recently introduced on the IEEE Transactions on Power Systems to study bus voltage variations in magnitude and frequency and their link with complex power injections of a power system. In this…

Systems and Control · Electrical Eng. & Systems 2023-10-31 Ignacio Ponce , Federico Milano

Hybrid AC/DC networks are a key technology for future electrical power systems, due to the increasing number of converter-based loads and distributed energy resources. In this paper, we consider the design of control schemes for hybrid…

Optimization and Control · Mathematics 2018-12-27 Jeremy D. Watson , Ioannis Lestas

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

This paper investigates the implementation and application of the multi-variable grid-forming hybrid angle control (HAC) for high-power converters in transmission grids. We explore the system-level performance and robustness of the HAC…

Optimization and Control · Mathematics 2021-10-13 Ali Tayyebi , Alan Magdaleno , Denis Vettoretti , Meng Chen , Eduardo Prieto-Araujo , Adolfo Anta , Florian Dörfler

This work investigates the transient and dynamical behavior of hybrid AC/DC systems using dual-port grid-forming (GFM) control. A generalized modeling framework for hybrid AC/DC networks is first introduced that accounts for converter,…

Systems and Control · Electrical Eng. & Systems 2025-09-16 Irina Subotić , Dominic Groß , Alexander Winkens , Julian Jansen , Florian Klein-Helmkamp , Andreas Ulbig

In this paper we propose a distributed dynamic controller for sharing frequency control reserves of asynchronous AC systems connected through a multi-terminal HVDC (MTDC) grid. We derive sufficient stability conditions, which guarantee that…

Optimization and Control · Mathematics 2015-12-15 Martin Andreasson , Roger Wiget , Dimos V. Dimarogonas , Karl H. Johansson , Göran Andersson

The stability of inverter-dominated power grids remains an active area of research. This paper presents novel sufficient conditions for ensuring small-signal stability in lossless and constant $R/X$ grids with highly heterogeneous mixes of…

Optimization and Control · Mathematics 2025-07-03 Jakob Niehues , Robin Delabays , Anna Büttner , Frank Hellmann

With the gradual transformation of power generation towards renewables, distributed energy resources are becoming more and more relevant for grid stabilization. In order to involve all participants in the joint solution of this challenging…

Optimization and Control · Mathematics 2019-12-18 Lukas Kölsch , Katharina Wieninger , Stefan Krebs , Sören Hohmann

This work presents (i) a framework for certifying small-signal frequency stability of a power system with line dynamics and heterogeneous bus dynamics, (ii) a novel reduced-order model of damper windings in synchronous machines, and (iii) a…

Systems and Control · Electrical Eng. & Systems 2026-01-28 Dahlia Saba , Dominic Groß

DC microgrids are becoming popular as effective means to integrate various renewable energy resources. Constant power loads (CPLs) may yield instability due to the negative impedance characteristic. This paper analyzes the stability of the…

Systems and Control · Computer Science 2018-04-24 Zhangjie Liu , Mei Su , Yao Sun , Hua Han , Xiaochao Hou , Josep M. Guerrero

This paper studies a power transmission system with both conventional generators (CGs) and distributed energy assets (DEAs) providing frequency control. We consider an operating condition with demand aggregating two dynamic components: one…

Optimization and Control · Mathematics 2025-07-02 Mahmoud Abdelgalil , Vishal Shenoy , Guido Cavraro , Emiliano Dall'Anese , Jorge I. Poveda

We consider the problem of ensuring stability in a DC microgrid by means of decentralized conditions. Such conditions are derived which are formulated as input-output properties of locally defined subsystems. These follow from various…

Optimization and Control · Mathematics 2022-08-17 Khaled Laib , Jeremy Watson , Yemi Ojo , Ioannis Lestas

This paper shows that a necessary and sufficient condition for the small-signal stability of an inverter-integrated power system can be expressed in terms of semidefinite matrix inequalities determined only by the synchronous reactance of…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Taku Nishino , Yoshiyuki Onishi , Takayuki Ishizaki

An inevitable consequence of the global power system transition towards nearly 100% renewable-based generation is the loss of conventional bulk generation by synchronous machines, their inertia, and accompanying frequency and voltage…

Systems and Control · Electrical Eng. & Systems 2020-03-11 Ali Tayyebi , Dominic Groß , Adolfo Anta , Friederich Kupzog , Florian Dörfler

In this paper we propose distributed dynamic controllers for sharing both frequency containment and restoration reserves of asynchronous AC systems connected through a multi-terminal HVDC (MTDC) grid. The communication structure of the…

Optimization and Control · Mathematics 2015-12-14 Martin Andreasson , Roger Wiget , Dimos V. Dimarogonas , Karl H. Johansson , Göran Andersson

Driven by global climate goals, an increasing amount of Renewable Energy Sources (RES) is currently being installed worldwide. Especially in the context of offshore wind integration, hybrid AC/DC grids are considered to be the most…

Systems and Control · Electrical Eng. & Systems 2025-12-10 Giacomo Bastianel , Marta Vanin , Dirk Van Hertem , Hakan Ergun

This paper addresses stability issues of DC networks with constant power loads (CPL). Common DC networks, such as automotive electrical systems and DC microgrids, typically have a step-up/down converter connected in one side to the main bus…

Optimization and Control · Mathematics 2015-03-31 Gustavo Cezar , Ram Rajagopal , Baosen Zhang

The AC frequency in electrical power systems is conventionally regulated by synchronous machines. The gradual replacement of these machines by asynchronous renewable-based generation, which provides little or no frequency control, increases…

Optimization and Control · Mathematics 2019-06-13 Richard Pates , Enrique Mallada

Hybrid AC/DC transmission grids incorporate Modular Multilevel Converters functioning as Interconnecting Power Converters (IPCs). The control role assigned to each converter significantly influences grid dynamics. Traditionally, these…

Systems and Control · Electrical Eng. & Systems 2025-03-10 Francesca Rossi , Sergi Costa Dilme , Josep Arevalo-Soler , Eduardo Prieto-Araujo , Oriol Gomis-Bellmunt

As a new type of microgrid structure, AC-DC hybrid microgrid can efficiently consume new energy distributed generator based on photovoltaics, which is very suitable for microgrid systems with electric vehicles as the main load. Unlike the…

Systems and Control · Electrical Eng. & Systems 2020-04-07 Wang Jingsong , Gong Chengming
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