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In this paper, we examine in an abstract framework, how a tradeoff between efficiency and robustness arises in different dynamic oligopolistic market architectures. We consider a market in which there is a monopolistic resource provider and…

Systems and Control · Computer Science 2013-10-02 Qingqing Huang , Mardavij Roozbehani , Munther A Dahleh

High shares of variable renewable energy necessitate substantial energy storage capacity. However, it remains unclear how to design a market that, on the one hand, ensures a stable and sufficient income for storage firms, and, on the other…

Systems and Control · Electrical Eng. & Systems 2024-02-06 Aviad Navon , Juri Belikov , Ariel Orda , Yoash Levron

Despite many decades of research, economically grounded models that analyse energy consumption and energy-efficiency adoption within a unified framework remain underdeveloped. This article addresses this gap by proposing a model of…

General Economics · Economics 2026-05-01 Anthony Britto , Carlos Oliveira , Max Kleinebrahm

Minimizing both power fluctuations and energy waste in an electrical grid is a central challenge to energy policy. Any discrepancy between power production and loads may lead to inefficiencies and instability in the system. Right now, the…

Systems and Control · Electrical Eng. & Systems 2024-05-20 H. Grebel

Using a pair of coupled LRC cavities we experimentally demonstrate that instabilities and amplification action can be tamed by a spatially inhomogenous gain. Specifically we observe the counter-intuitive phenomenon of stabilization of the…

Optics · Physics 2013-09-17 M. Chitsazi , S. Factor , J. Schindler , H. Ramezani , F. M. Ellis , T. Kottos

A high share of distributed photovoltaic (PV) generation in low-voltage networks may lead to over-voltage, and line/transformer overloading. To mitigate these issues, we investigate how advanced electricity tariffs could ensure safe grid…

Systems and Control · Electrical Eng. & Systems 2021-09-16 Jordan Holweger , Lionel Bloch , Christophe Ballif , Nicolas Wyrsch

Distributed rooftop photovoltaics (PV) is one of the pillars of the energy transition. However, the massive integration of distributed PV systems challenges the existing grid, with high amounts of PV injection possibly leading to…

Systems and Control · Electrical Eng. & Systems 2023-03-09 Alejandro Pena-Bello , Robin Junod , Christophe Ballif , Nicolas Wyrsch

The integration of renewable generation poses operational and economic challenges for the electricity grid. For the core problem of power balance, the legacy paradigm of tailoring supply to follow random demand may be inappropriate under…

Systems and Control · Computer Science 2014-09-25 Ashutosh Nayyar , Matias Negrete-Pincetic , Kameshwar Poolla , Pravin Varaiya

In an electric power system, demand fluctuations may result in significant ancillary cost to suppliers. Furthermore, in the near future, deep penetration of volatile renewable electricity generation is expected to exacerbate the variability…

Optimization and Control · Mathematics 2012-07-13 John N. Tsitsiklis , Yunjian Xu

As the penetration of distributed energy resources in the residential sector increases, the scope for sharing arrangements expands. We model a peer-to-peer rental market for rooftop solar and energy storage in the residential sector, with…

Computational Engineering, Finance, and Science · Computer Science 2018-09-18 Siddharth Patel , Ram Rajagopal

The marginal price of electricity traditionally depends on the dual variables associated with relevant optimization goals. Particularly, in the optimal power flow realm, prices represent the cost of supplying an additional unit of power at…

Optimization and Control · Mathematics 2016-06-29 Kyri Baker

Market-based coordination of demand side assets has gained great interests in recent years. In spite of its efficiency, there is a risk that the interaction between the dynamic assets through the price signal could result in an unstable…

Optimization and Control · Mathematics 2017-04-04 Lin Zhao , Wei Zhang

This paper investigates the impacts of competition in autonomous mobility-on-demand systems. By adopting a network-flow based formulation, we first determine the optimal strategies of profit-maximizing platform operators in monopoly and…

Optimization and Control · Mathematics 2021-07-27 Berkay Turan , Mahnoosh Alizadeh

Robust operation of power transmission grids is essential for most of today's technical infrastructure and our daily life. Adding renewable generation to power grids requires grid extensions and sophisticated control actions on different…

Adaptation and Self-Organizing Systems · Physics 2018-08-29 Eder Batista Tchawou Tchuisseu , Damià Gomila , Pere Colet , Dirk Witthaut , Marc Timme , Benjamin Schäfer

The increase of renewables in the grid and the volatility of the load create uncertainties in the day-ahead prices of electricity markets. Adaptive robust optimization (ARO) and stochastic optimization have been used to make commitment and…

Optimization and Control · Mathematics 2023-09-18 Dimitris Bertsimas , Angelos G. Koulouras

The increasing penetration of renewable energy sources has been leading to the progressive phase-out of synchronous generators, which constitute the main source of frequency stability for electric power systems. In the light of these…

Signal Processing · Electrical Eng. & Systems 2021-04-12 Davide del Giudice , Angelo Brambilla , Samuele Grillo , Federico Bizzarri

Since the 1990s, widespread introduction of central (wholesale) electricity markets has been seen across multiple continents, driven by the search for efficient operation of the power grid through competition. The increase of renewables has…

Systems and Control · Electrical Eng. & Systems 2025-10-15 Pål Forr Austnes , Matthieu Jacobs , Lu Wang , Mario Paolone

Power grids sustain modern society by supplying electricity and thus their stability is a crucial factor for our civilization. The dynamic stability of a power grid is usually quantified by the probability of its nodes' recovery to phase…

Chaotic Dynamics · Physics 2018-11-14 Heetae Kim , Sang Hoon Lee , Jörn Davidsen , Seung-Woo Son

We consider the setting in which an electric power utility seeks to curtail its peak electricity demand by offering a fixed group of customers a uniform price for reductions in consumption relative to their predetermined baselines. The…

Machine Learning · Computer Science 2018-06-20 Kia Khezeli , Eilyan Bitar

This two-part paper details a theory of solvability for the power flow equations in lossless power networks. In Part I, we derived a new formulation of the lossless power flow equations, which we term the fixed-point power flow. The model…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco