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In this paper, we present the derivation of a multicontinuum model for the coupled flow and transport equations by applying multicontinuum homogenization. We perform the multicontinuum expansion for both flow and transport solutions and…

Numerical Analysis · Mathematics 2024-05-24 Dmitry Ammosov , W. T. Leung , Buzheng Shan , Jian Huang

Local and inter-area oscillations in bulk power systems are typically identified using spatial profiles of poorly damped modes, and they are mitigated via carefully tuned decentralized controllers. In this paper, we employ non-modal tools…

Optimization and Control · Mathematics 2017-05-16 Xiaofan Wu , Florian Dörfler , Mihailo R. Jovanović

This paper proposes a new robust data-driven control method for linear systems with bounded disturbances, where the system model and disturbances are unknown. Due to disturbances, accurately determining the true system becomes challenging…

Systems and Control · Electrical Eng. & Systems 2024-05-07 Kaijian Hu , Tao Liu

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…

Optimization and Control · Mathematics 2019-10-10 Ali Tayyebi , Dominic Groß , Adolfo Anta , Friederich Kupzog , Florian Dörfler

This paper studies the problem of frequency regulation in power grids under unknown and possible time-varying load changes, while minimizing the generation costs. We formulate this problem as an output agreement problem for distribution…

Systems and Control · Computer Science 2015-10-01 Sebastian Trip , Mathias Bürger , Claudio De Persis

This report serves as a technology description of a Julia-based re-implementation of the fixed-point current injection algorithm, available in PowerModelsDistribution.jl [1]. This report does not describe a novel method for solving…

Optimization and Control · Mathematics 2023-05-09 Frederik Geth , Sander Claeys , Rahmat Heidari

In this work, we present a Lyapunov framework for establishing stability with respect to a compact set for a nested interconnection of nonlinear dynamical systems ordered from slow to fast according to their convergence rates, where each of…

Optimization and Control · Mathematics 2021-01-12 Irina Subotić , Dominic Groß , Marcello Colombino , Florian Dörfler

Variations of loading level and changes in system topological property may cause the operating point of an electric power systems to move gradually towards the verge of its transmission capability, which can lead to catastrophic outcomes…

Systems and Control · Computer Science 2019-04-19 Bai Cui , Xu Andy Sun

Complex droop control, alternatively known as dispatchable virtual oscillator control (dVOC), stands out for its unique capabilities in synchronization and voltage stabilization among existing control strategies for grid-forming converters.…

Systems and Control · Electrical Eng. & Systems 2024-08-23 Roger Domingo-Enrich , Xiuqiang He , Verena Häberle , Florian Dörfler

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

Simulation is an efficient tool in the design and control of power electronic systems. However, quick and accurate simulation of them is still challenging, especially when the system contains a large number of switches and state variables.…

Systems and Control · Electrical Eng. & Systems 2023-12-11 Han Xu , Bochen Shi , Zhujun Yu , Jialin Zheng , Zhengming Zhao

We present differentiable predictive control (DPC) as a deep learning-based alternative to the explicit model predictive control (MPC) for unknown nonlinear systems. In the DPC framework, a neural state-space model is learned from…

Systems and Control · Electrical Eng. & Systems 2021-07-27 Jan Drgona , Karol Kis , Aaron Tuor , Draguna Vrabie , Martin Klauco

The lifelong control problem of an off-grid microgrid is composed of two tasks, namely estimation of the condition of the microgrid devices and operational planning accounting for the uncertainties by forecasting the future consumption and…

Systems and Control · Electrical Eng. & Systems 2020-05-19 Simone Totaro , Ioannis Boukas , Anders Jonsson , Bertrand Cornélusse

In contexts where data samples represent a physically stable state, it is often assumed that the data points represent the local minima of an energy landscape. In control theory, it is well-known that energy can serve as an effective…

Machine Learning · Computer Science 2024-02-09 Christopher Iliffe Sprague , Arne Elofsson , Hossein Azizpour

Microgrids are increasingly recognized as a key technology for the integration of distributed energy resources into the power network, allowing local clusters of load and distributed energy resources to operate autonomously. However,…

Optimization and Control · Mathematics 2021-06-22 Jeremy Watson , Yemi Ojo , Khaled Laib , Ioannis Lestas

In this paper, we study a constrained network flow problem and associated networked dynamics that resemble but are distinct from the well-known primal-dual dynamics of the constrained flow problem. Crucially, under a change of coordinates,…

Systems and Control · Electrical Eng. & Systems 2025-07-03 Amirhossein Iraniparast , Dominic Groß

The enormous technological potential accumulated over the past two decades would make it possible to change the operating principles of power systems entirely. The consequent technological evolution is not only affecting the structure of…

Systems and Control · Electrical Eng. & Systems 2020-11-30 Liliia Ageeva , Maryam Majidi , David Pozo

This paper proposes a new strategy for optimal grid frequency regulation (FR) in an interconnected power system where regional ac grids and an offshore wind farm are linked via a multi-terminal high voltage direct-current (MTDC) network. In…

Systems and Control · Electrical Eng. & Systems 2021-12-10 Young-Jin Kim

We formulate a control system model for the distributed flow of mixtures of highly heterogeneous gases through large-scale pipeline networks with time-varying injections of constituents, withdrawals, and control actions of compressors. This…

Optimization and Control · Mathematics 2023-05-23 Luke Baker , Saif R. Kazi , Rodrigo B. Platte , Anatoly Zlotnik

This article reviews different kinds of models for the electric power grid that can be used to understand the modern power system, the smart grid. From the physical network to abstract energy markets, we identify in the literature different…

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