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The increasing global spread of electric vehicles (EVs) has introduced significant interdependence between transportation and power networks. Most of the previous studies on coupled networks focus on the formation of equilibrium states…

Systems and Control · Electrical Eng. & Systems 2023-04-10 Jiaqi Li , Xiaoyuan Xu , Zheng Yan , Han Wang , Yue Chen

For optimal power flow problems with chance constraints, a particularly effective method is based on a fixed point iteration applied to a sequence of deterministic power flow problems. However, a priori, the convergence of such an approach…

Optimization and Control · Mathematics 2023-12-13 Johannes J. Brust , Mihai Anitescu

Robust simulation is essential for reliable operation and planning of transmission and distribution power grids. At present, disparate methods exist for steady-state analysis of the transmission (power flow) and distribution power grid…

Signal Processing · Electrical Eng. & Systems 2018-08-10 Amritanshu Pandey , Marko Jereminov , Martin R. Wagner , David M. Bromberg , Gabriela Hug , Larry Pileggi

Distributed energy resources (DER) provide significant value for renewable energy integration in modern power grids. However, unlocking this value requires complex design and coordination. This paper focuses on the emerging {\em transactive…

Optimization and Control · Mathematics 2019-08-13 Sen Li , Jianming Lian , Antonio Conejo , Wei Zhang

We propose a macroscopic traffic network flow model suitable for analysis as a dynamical system, and we qualitatively analyze equilibrium flows as well as convergence. Flows at a junction are determined by downstream supply of capacity as…

Systems and Control · Computer Science 2015-05-25 Samuel Coogan , Murat Arcak

Power System State Estimation (PSSE) has been a research area of interest for power engineers for a long period of time. Due to the intermittent nature of renewable energy sources, which are applied in the power network more than before,…

Systems and Control · Electrical Eng. & Systems 2021-01-08 Sajjad Asefi , Sergei Parsegov , Elena Gryazina

The large-scale deployment of renewable energy sources, particularly offshore wind, requires large-scale transmission grid expansion projects to transmit the produced low-carbon power to the main demand centers. However, the planning and…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Giacomo Bastianel , Clement Hardy , Nils Charels , Dirk Van Hertem , Hakan Ergun

We model power grids transporting electricity generated by intermittent renewable sources as complex networks, where line failures can emerge indirectly by noisy power input at the nodes. By combining concepts from statistical physics and…

Physics and Society · Physics 2018-06-27 Tommaso Nesti , Alessandro Zocca , Bert Zwart

As the world is transitioning towards highly renewable energy systems, advanced tools are needed to analyze such complex networks. Energy system design is, however, challenged by real-world objective functions consisting of a blurry mix of…

Computational Engineering, Finance, and Science · Computer Science 2021-06-30 Tim T. Pedersen , Marta Victoria , Morten G. Rasmussen , Gorm B. Andresen

We consider a sharing economy network where agents embedded in a graph share their resources. This is a fundamental model that abstracts numerous emerging applications of collaborative consumption systems. The agents generate a random…

Computer Science and Game Theory · Computer Science 2017-03-29 Leonidas Georgiadis , George Iosifidis , Leandros Tassiulas

We present an original undergraduate level compilation for the physics of electromechanical systems with special attention to power flow. An approach based on energy considerations is presented that is specially suited to compute the…

Physics Education · Physics 2016-03-28 J. M. Diaz de la Cruz

How to determine the vector of power supplies of a stochastic power system for the next short horizon, such that the probability is less than a prespecified value that any phase-angle difference of a power line of the power network exits…

Systems and Control · Electrical Eng. & Systems 2024-07-16 Zhen Wang , Kaihua Xi , Aijie Cheng , Hai Xiang Lin , Jan H. van Schuppen

We combine the power flow model with the proportionally fair optimization criterion to study the control of congestion within a distribution electric grid network. The form of the mathematical optimization problem is a convex second order…

Optimization and Control · Mathematics 2018-10-04 Miroslav Gardlo , Ľuboš Buzna , Rui Carvalho , Richard Gibbens , Frank Kelly

We study a robust control problem for dynamical flow networks. In the considered dynamical models, traffic flows along the links of a transportation network --modeled as a capacited multigraph-- and queues up at the nodes, whereby control…

Systems and Control · Electrical Eng. & Systems 2020-12-24 Gustav Nilsson , Giacomo Como

This paper investigates the effect of network topology on the fair allocation of network resources among a set of agents, an all-important issue for the efficiency of transportation networks all around us. We analyse a generic mechanism…

Physics and Society · Physics 2015-05-30 Rui Carvalho , Lubos Buzna , Wolfram Just , Dirk Helbing , David K. Arrowsmith

With rising shares of renewables and the need to properly assess trade-offs between transmission, storage and sectoral integration as balancing options, building a bridge between energy system models and detailed power flow studies becomes…

Physics and Society · Physics 2022-04-29 Fabian Neumann , Veit Hagenmeyer , Tom Brown

The interconnected European Electricity Markets see considerable cross-border trade between different countries. In conjunction with the structure and technical characteristics of the power grid and its operating rules, the corresponding…

Physics and Society · Physics 2019-08-09 Mirko Schäfer , Fabian Hofmann , Hazem Abdel-Khalek , Anke Weidlich

Uncertainties from deepening penetration of renewable energy resources have posed critical challenges to the secure and reliable operations of future electric grids. Among various approaches for decision making in uncertain environments,…

Optimization and Control · Mathematics 2019-04-16 Xinbo Geng , Le Xie

The statistical tools of Complex Network Analysis are of great use to understand salient properties of complex systems, may these be natural or pertaining human engineered infrastructures. One of these that is receiving growing attention…

Physics and Society · Physics 2015-03-19 Giuliano Andrea Pagani , Marco Aiello

Using group theoretic and topological concepts, together with tunneling phenomena, we geometrically design interfacial wave networks that contain splitters which partition energy in 2, 3, 4 or 5 directions. This enriches the valleytronics…

Mesoscale and Nanoscale Physics · Physics 2018-12-19 Mehul Makwana , Richard Craster