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In this work we suggest to model the dynamics of power grids in terms of a two-layer network, and use the Italian high voltage power grid as a proof-of-principle example. The first layer in our model represents the power grid consisting of…

Adaptation and Self-Organizing Systems · Physics 2020-08-26 Carl H. Totz , Simona Olmi , Eckehard Schöll

In the present study we consider a random network of Kuramoto oscillators with inertia in order to mimic and investigate the dynamics emerging in high-voltage power grids. The corresponding natural frequencies are assumed to be bimodally…

Adaptation and Self-Organizing Systems · Physics 2020-01-08 Liudmila Tumash , Simona Olmi , Eckehard Schöll

The aim of this paper is to investigate complex dynamic networks which can model high-voltage power grids with renewable, fluctuating energy sources. For this purpose we use the Kuramoto model with inertia to model the network of power…

Adaptation and Self-Organizing Systems · Physics 2018-08-29 Liudmila Tumash , Simona Olmi , Eckehard Schöll

Efficient control of power systems is becoming increasingly difficult as they gain in complexity and size. We propose an automatic control strategy that regulates the mechanical power output of the generators in a power grid based on…

Systems and Control · Computer Science 2014-10-09 Andrej Gajduk , Mirko Todorovski , Ljupco Kocarev

We study the synchronization and stability of power grids within the Kuramoto phase oscillator model with inertia with a bimodal frequency distribution representing the generators and the loads. We identify critical nodes through solitary…

Adaptation and Self-Organizing Systems · Physics 2019-12-18 Halgurd Taher , Simona Olmi , Eckehard Schöll

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

We show that there is a link between the Kuramoto paradigm and another system of synchronized oscillators, namely an electrical power distribution grid of generators and consumers. The purpose of this work is to show both the formal analogy…

Chaotic Dynamics · Physics 2009-11-13 Giovanni Filatrella , Arne Hejde Nielsen , Niels Falsig Pedersen

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 investigate synchronization in networks of Kuramoto oscillators with inertia. More specifically, we introduce a rewiring algorithm consisting basically in a {\em hill climb} scheme in which the edges of the network are swapped in order…

Adaptation and Self-Organizing Systems · Physics 2016-08-01 Rafael S. Pinto , Alberto Saa

Transmission topology control is a tool used by system operators in the role of a control action taken into account as a preventive or corrective action relative to a specific outage or set of outages. However, their inclusion in most…

Systems and Control · Electrical Eng. & Systems 2021-03-30 Emily Little , Sandrine Bortolotti , Jean-Yves Bourmaud , Efthymios Karangelos , Yannick Perez

Power grids are undergoing major changes from a few large producers to smart grids build upon renewable energies. Mathematical models for power grid dynamics have to be adapted to capture, when dynamic nodes can achieve synchronization to a…

Dynamical Systems · Mathematics 2018-07-11 Christian Kuehn , Sebastian Throm

This paper proposes a novel second order mathematical model in the Kuramoto framework to simulate and study low frequency oscillations in power systems. This model facilitates better understanding of the complex dynamics of a power network.…

Systems and Control · Electrical Eng. & Systems 2019-12-03 Pratik K. Bajaria , Sushama R. Wagh , Navdeep M. Singh

Traditionally, inertia in power systems has been determined by considering all the rotating masses directly connected to the grid. During the last decade, the integration of renewable energy sources, mainly photovoltaic installations and…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Ana Fernández-Guillamón , Emilio Gómez-Lázaro , Eduard Muljadi , Angel Molina-García

Deviations of grid frequency from the nominal frequency are an indicator of the global imbalance between genera- tion and load. Two types of control, a distributed propor- tional control and a centralized integral control, are cur- rently…

Systems and Control · Computer Science 2012-11-20 Krishnamurthy Dvijotham , Michael Chertkov , Scott Backhaus

Motivated by the recent and growing interest in smart grid technology, we study the operation of DC/AC inverters in an inductive microgrid. We show that a network of loads and DC/AC inverters equipped with power-frequency droop controllers…

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

Motivated by an increase of renewable energy sources we propose a distributed optimal Load Frequency Control scheme achieving frequency regulation and economic dispatch. Based on an energy function of the power network we derive an…

Optimization and Control · Mathematics 2017-08-03 Sebastian Trip , Claudio De Persis

Power grids, as well as neuronal networks with synaptic plasticity, describe real-world systems of tremendous importance for our daily life. The investigation of these seemingly unrelated types of dynamical networks has attracted increasing…

Adaptation and Self-Organizing Systems · Physics 2021-04-14 Rico Berner , Serhiy Yanchuk , Eckehard Schöll

In this paper, we introduce a distributed control strategy to prevent dynamically-induced cascading failures in power grids. We model power grids using complex networks and nonlinear dynamics to provide a coarse-grained description of the…

Systems and Control · Electrical Eng. & Systems 2022-02-08 Mattia Frasca , Lucia Valentina Gambuzza

This paper presents a two-layer, four-level distributed control method for networked microgrid (NMG) systems, taking into account the proprietary nature of microgrid (MG) owners. The proposed control architecture consists of a MG-control…

Optimization and Control · Mathematics 2019-04-01 Xiaoyu Wu , Yin Xu , Xiangyu Wu , Jinghan He , Josep M. Guerrero , Chen-Ching Liu , Kevin P. Schneider , Dan T. Ton

This work studies how the communication network between proactive consumers affects the power utilization and fairness in a simplified direct-current micro-grid model, composed by three coupled layers: physical (an electric circuit that…

Multiagent Systems · Computer Science 2018-02-13 Florian Kühnlenz , Pedro H. J. Nardelli , Hirley Alves
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