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Complex systems with nonreciprocal interactions are often stratified into layers. Ecosystems are a prime example, where species at one trophic level grow by consuming those at another. Yet the dynamical consequences of such stratified…

Populations and Evolution · Quantitative Biology 2026-01-21 Rukmani Ramachandran , Akshit Goyal

Distributed renewable resources owned by prosumers can be an effective way of fortifying grid resilience and enhancing sustainability. However, prosumers serve their own interests and their objectives are unlikely to align with that of…

Systems and Control · Electrical Eng. & Systems 2022-09-30 Yihsu Chen , Andrew L. Liu , Makoto Tanaka , Ryuta Takashima

We present a systematic method for designing distributed generation and demand control schemes for secondary frequency regulation in power networks such that stability and an economically optimal power allocation can be guaranteed. A…

Optimization and Control · Mathematics 2017-03-03 Andreas Kasis , Nima Monshizadeh , Eoin Devane , Ioannis Lestas

This paper evaluates market equilibrium under different pricing mechanisms in a two-settlement 100%-renewables electricity market. Given general probability distributions of renewable energy, we establish game-theoretical models to analyze…

Systems and Control · Electrical Eng. & Systems 2023-05-23 Dongwei Zhao , Audun Botterud , Marija Ilic

Each household in a population characterized by income heterogeneity faces random demand for electricity and decides if and when it should adopt a solar product, rooftop solar or community solar. A central planner, aiming to meet an…

General Economics · Economics 2024-08-23 Swapnil Rayal , Apurva Jain , Matthew Lorig

We study transportation networks controlled by dynamical feedback tolls. We consider a multiscale transportation network model whereby the dynamics of the traffic flows are intertwined with those of the drivers' route choices. The latter…

Optimization and Control · Mathematics 2019-01-30 Rosario Maggistro , Giacomo Como

Electricity distribution networks that contain large photovoltaic solar systems can experience power flows between customers. These may create both technical and socio-economic challenges. This paper establishes how these challenges can be…

Physics and Society · Physics 2021-09-07 B. C. P. Sturmberg , M. E. Shaw , C. P. Mediwaththe , H. Ransan-Cooper , B. Weise , M. Thomas , L. Blackhall

Will a large economy be stable? Building on Robert May's original argument for large ecosystems, we conjecture that evolutionary and behavioural forces conspire to drive the economy towards marginal stability. We study networks of firms in…

Physics and Society · Physics 2019-09-25 José Moran , Jean-Philippe Bouchaud

Distribution grids across the world are undergoing profound changes due to advances in energy technologies. Electrification of the transportation sector and the integration of Distributed Energy Resources (DERs), such as photo-voltaic…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Athindra Venkatraman , Anupam Thatte , Le Xie

As the number of prosumers with distributed energy resources (DERs) grows, the conventional centralized operation scheme may suffer from conflicting interests, privacy concerns, and incentive inadequacy. In this paper, we propose an energy…

Computer Science and Game Theory · Computer Science 2022-06-29 Yue Chen , Changhong Zhao , Steven H. Low , Adam Wierman

Electric power-systems are one of the most important critical infrastructures. In recent years, they have been exposed to extreme stress due to the increasing demand, the introduction of distributed renewable energy sources, and the…

Physics and Society · Physics 2016-07-13 Antonio Scala , Pier Giorgio De Sanctis Lucentini

Power grid outages cause huge economical and societal costs. Disruptions in the power distribution grid are responsible for a significant fraction of electric power unavailability to customers. The impact of extreme weather conditions,…

Systems and Control · Computer Science 2015-06-30 Yakup Koc , Abhishek Raman , Martijn Warnier , Tarun Kumar

Electricity supply is not simply a matter of quantity, but a time lasting service that matches with a wave-like load curve. It logically deserves a pricing based on the curve per se rather than simply integral of load. This paper introduces…

Systems and Control · Electrical Eng. & Systems 2020-04-02 Jinghuan Ma , Jie Gu , Zhijian Jin

Emergent technologies such as solar power, electric vehicles, and artificial intelligence (AI) often exhibit exponential or power function price declines and various ``S-curves'' of adoption. We show that under CES and VES utility, such…

General Economics · Economics 2025-02-04 Rajesh P. Narayanan , R. Kelley Pace

There is empirical evidence from a range of disciplines that as the connectivity of a network increases, we observe an increase in the average fitness of the system. But at the same time, there is an increase in the proportion of…

Adaptation and Self-Organizing Systems · Physics 2009-11-11 Paul Ormerod , Rich Colbaugh

The recent rise of renewable energy produced by many decentralized sources yields interesting market design challenges for electrical grids. Balancing supply and demand in such networks is both a temporal and spatial challenge due to…

Computer Science and Game Theory · Computer Science 2025-08-11 Simon Krogmann , Pascal Lenzner , Alexander Skopalik , Tobias Sträubig

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

Introduction of renewable generation leads to significant reduction of inertia in power system, which deteriorates the quality of frequency control. This paper suggests a new control scheme utilizing controllable load to deal with low…

Systems and Control · Computer Science 2018-11-30 Oleg O. Khamisov , Janusz W. Bialek , Anatoly Dymarsky

Integrating renewable energy production into the electricity grid is an important policy goal to address climate change. However, such an integration faces economic and technological challenges. As power generation by renewable sources…

Systems and Control · Electrical Eng. & Systems 2021-01-15 Nayara Aguiar , Indraneel Chakraborty , Vijay Gupta

Future electricity distribution grids will host a considerable share of the renewable energy sources needed for enforcing the energy transition. Demand side management mechanisms play a key role in the integration of such renewable energy…

Systems and Control · Computer Science 2019-04-16 José Horta , Eitan Altman , Mathieu Caujolle , Daniel Kofman , David Menga