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We introduce a cellular automaton model coupled with a transport equation for flows on graphs. The direction of the flow is described by a switching process where the switching probability dynamically changes according to the value of the…

Cellular Automata and Lattice Gases · Physics 2013-07-02 Pierre Degond , Michael Herty , Jian-Guo Liu

Amid global interest in resilient energy systems, green hydrogen is considered vital to the net-zero transition, yet its deployment remains limited by high production cost. The cost is determined by the its production pathway, system…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Merlinda Andoni , Benoit Couraud , Valentin Robu , Jamie Blanche , Sonam Norbu , Si Chen , Satria Putra Kanugrahan , David Flynn

One of the many problems faced by current cellular network technology is the under utilization of the dedicated, licensed spectrum of network operators. An emerging paradigm to solve this issue is to allow multiple operators to share some…

Information Theory · Computer Science 2016-08-19 Tachporn Sanguanpuak , Sudarshan Guruacharya , Nandana Rajatheva , Mehdi Bennis , Matti Latva-Aho

The accurate prediction of short-term electricity prices is vital for effective trading strategies, power plant scheduling, profit maximisation and efficient system operation. However, uncertainties in supply and demand make such…

Econometrics · Economics 2023-04-20 Mira Watermeyer , Thomas Möbius , Oliver Grothe , Felix Müsgens

We consider multi-class single-server queueing networks that have a product form stationary distribution. A new limit result proves a sequence of such networks converges weakly to a stochastic flow level model. The stochastic flow level…

Probability · Mathematics 2009-12-15 N. S. Walton

This paper studies how to aggregate prosumers (or large consumers) and their collective decisions in electricity markets, with a focus on fairness. Fairness is essential for prosumers to participate in aggregation schemes. Some prosumers…

Optimization and Control · Mathematics 2024-09-02 Zoé Fornier , Vincent Leclère , Pierre Pinson

As the share of renewables in the grid increases, the operation of power systems becomes more challenging. The present paper proposes a method to formulate and solve chance-constrained optimal power flow while explicitly considering the…

Systems and Control · Computer Science 2019-04-04 T. Mühlpfordt , L. Roald , V. Hagenmeyer , T. Faulwasser , S. Misra

Probabilistic power flow (PPF) is essential for quantifying operational uncertainty in modern distribution systems with high penetration of renewable generation and flexible loads. Conventional PPF methods primarily rely on Monte Carlo (MC)…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Weijie Xia , James Ciyu Qin , Edgar Mauricio Salazar Duque , Hongjin Du , Peter Palensky , Giovanni Sansavini , Pedro P. Vergara

To achieve ambitious greenhouse gas emission reduction targets in time, the planning of future energy systems needs to accommodate societal preferences, e.g. low levels of acceptance for transmission expansion or onshore wind turbines, and…

Physics and Society · Physics 2025-10-30 Fabian Neumann , Tom Brown

Part II of this paper elaborates on the unique capability of the proposed power flow analysis framework to obtain the true solution corresponding to the stable operating point of a network. It explains the significance of obtaining the true…

Systems and Control · Computer Science 2016-09-06 Sina S. Baghsorkhi , Sergey P. Suetin

We present a unified analytical framework within which power control, rate allocation, routing, and congestion control for wireless networks can be optimized in a coherent and integrated manner. We consider a multi-commodity flow model with…

Networking and Internet Architecture · Computer Science 2007-09-18 Yufang Xi , Edmund M. Yeh

Optimal power flow problems (OPFs) are mathematical programs used to determine how to distribute power over networks subject to network operation constraints and the physics of power flows. In this work, we take the view of treating an OPF…

Optimization and Control · Mathematics 2020-03-06 Fengyu Zhou , James Anderson , Steven H. Low

Certifying power flow solvability is important for reliable power system operations under volatile operating conditions, but solving power flow equations repeatedly can be costly and may encounter convergence issues. In this paper, we…

Optimization and Control · Mathematics 2026-05-26 Puskar Neupane , Bai Cui

Electricity accounts for 25% of global greenhouse gas emissions. Reducing emissions related to electricity consumption requires accurate measurements readily available to consumers, regulators and investors. In this case study, we propose a…

Physics and Society · Physics 2019-06-11 Bo Tranberg , Olivier Corradi , Bruno Lajoie , Thomas Gibon , Iain Staffell , Gorm Bruun Andresen

We develop a non-parametric procedure for ranking transmission lines in a power system according to the probability that they will overload due to stochastic renewable generation or demand-side load fluctuations, and compare this procedure…

Systems and Control · Electrical Eng. & Systems 2020-05-20 Brendan Patch , Bert Zwart

The energy system is rapidly changing to accommodate the increasing number of renewable generators and the general transition towards a more sustainable future. Simultaneously, business models and market designs evolve, affecting power-grid…

Adaptation and Self-Organizing Systems · Physics 2020-03-24 Leonardo Rydin Gorjão , Mehrnaz Anvari , Holger Kantz , Christian Beck , Dirk Witthaut , Marc Timme , Benjamin Schäfer

The retirement of unabated coal power plants, the plummeting cost of renewable energy technologies, along with more aggressive public policies and regulatory reforms, are occurring at an unprecedented speed to decarbonize the power and…

Systems and Control · Electrical Eng. & Systems 2022-10-19 Jian Shi , Dan Wang , Chenye Wu , Zhu Han

The power grid is going through significant changes with the introduction of renewable energy sources and incorporation of smart grid technologies. These rapid advancements necessitate new models and analyses to keep up with the various…

The allocation of tasks can be seen as a success-critical management activity in distributed development projects. However, such task allocation is still one of the major challenges in global software development due to an insufficient…

Software Engineering · Computer Science 2013-11-08 Ansgar Lamersdorf , Jürgen Münch , Dieter Rombach

Active biological flow networks pervade nature and span a wide range of scales, from arterial blood vessels and bronchial mucus transport in humans to bacterial flow through porous media or plasmodial shuttle streaming in slime molds.…

Biological Physics · Physics 2016-07-28 Francis G. Woodhouse , Aden Forrow , Joanna B. Fawcett , Jörn Dunkel