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Related papers: Generation bidding game with flexible demand

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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

Demand Response is an emerging technology which will transform the power grid of tomorrow. It is revolutionary, not only because it will enable peak load shaving and will add resources to manage large distribution systems, but mainly…

Information Theory · Computer Science 2012-09-26 Vicenç Gómez , Michael Chertkov , Scott Backhaus , Hilbert J. Kappen

We study optimal behavior of energy producers under a CO_2 emission abatement program. We focus on a two-player discrete-time model where each producer is sequentially optimizing her emission and production schedules. The game-theoretic…

Optimization and Control · Mathematics 2010-08-24 Michael Ludkovski

In this paper, we analyze Nash equilibria between electricity producers selling their production on an electricity market and buying CO2 emission allowances on an auction carbon market. The producers' strategies integrate the coupling of…

Mathematical Finance · Quantitative Finance 2015-01-15 Mireille Bossy , Nadia Maizi , Odile Pourtallier

We consider the use of pricing as a regulatory mechanism when an unknown number of autonomous agents compete for access to a shared resource (possibly limited in volume or capacity). In standard dynamic pricing control systems, an…

Optimization and Control · Mathematics 2025-11-24 Christopher King , Homayoun Hamedmoghadam , Christos G. Cassandras , Fabian R. Wirth , Robert N. Shorten

A smart grid connects wind or solar or storage farms, fossil fuel plants, industrialor commercial loads, or load serving entities, modeled as stochastic dynamical systems. In each time period, they consume or supply electrical energy, with…

Optimization and Control · Mathematics 2016-06-30 Rahul Singh , P. R. Kumar , Le Xie

We consider a market where a finite number of players trade an asset whose supply is a stochastic process. The price formation problem consists of finding a price process that ensures that when agents act optimally to minimize their trading…

Analysis of PDEs · Mathematics 2022-08-15 Diogo Gomes , Julian Gutierrez , Ricardo Ribeiro

In Demand Response programs, price incentives might not be sufficient to modify residential consumers load profile. Here, we consider that each consumer has a preferred profile and a discomfort cost when deviating from it. Consumers can…

Optimization and Control · Mathematics 2017-12-01 Paulin Jacquot , Olivier Beaude , Nadia Oudjane , Stephane Gaubert

A distributed control architecture is presented that is intended to make a collection of heterogeneous loads appear to the grid operator as a nearly perfect battery. Local control is based on randomized decision rules advocated in prior…

Systems and Control · Computer Science 2019-10-25 Joel Mathias , Ana Bušić , Sean Meyn

In electrical distribution grids, the constantly increasing number of power generation devices based on renewables demands a transition from a centralized to a distributed generation paradigm. In fact, power injection from Distributed…

Systems and Control · Computer Science 2017-06-30 Riccardo Bonetto , Michele Rossi , Stefano Tomasin , Carlo Fischione

In a multi-unit market, a seller brings multiple units of a good and tries to sell them to a set of buyers that have monetary endowments. While a Walrasian equilibrium does not always exist in this model, natural relaxations of the concept…

Computer Science and Game Theory · Computer Science 2018-09-28 Simina Brânzei , Aris Filos-Ratsikas

Despite the success of demand response programs in retail electricity markets in reducing average consumption, the random responsiveness of consumers to price event makes their efficiency questionable to achieve the flexibility needed for…

Optimization and Control · Mathematics 2019-05-28 René Aïd , Dylan Possamaï , Nizar Touzi

We study continuous time Bertrand oligopolies in which a small number of firms producing similar goods compete with one another by setting prices. We first analyze a static version of this game in order to better understand the strategies…

Optimization and Control · Mathematics 2010-07-01 Andrew Ledvina , Ronnie Sircar

We propose a distributed feedback control that steers a dynamical network to a prescribed equilibrium corresponding to the so-called Cournot-Nash equilibrium. The network dynamics considered here are a class of passive nonlinear…

Optimization and Control · Mathematics 2020-01-28 Claudio De Persis , Nima Monshizadeh

This paper studies how platform design shapes strategic behavior in decentralized electricity trading. We develop a finite-horizon dynamic game in which photovoltaic- and battery-equipped players ("prosumers") trade on a platform that maps…

General Economics · Economics 2026-03-23 Nicolas Eschenbaum , Nicolas Greber

With the increased level of distributed generation and demand response comes the need for associated mechanisms that can perform well in the face of increasingly complex deregulated energy market structures. Using Lagrangian duality theory,…

Optimization and Control · Mathematics 2016-03-24 Erik Miehling , Demosthenis Teneketzis

Traditionally, most consumers of electricity pay for their consumptions according to a fixed rate. With the advancement of Smart Grid technologies, large-scale implementation of variable-rate metering becomes more practical. As a result,…

Computer Science and Game Theory · Computer Science 2011-06-14 Tarun Agarwal , Shuguang Cui

In this paper we study a pollution regulation problem in an electricity market with a network structure. The market is ruled by an independent system operator (ISO for short) who has the goal of reducing the pollutant emissions of the…

Optimization and Control · Mathematics 2021-11-29 Nicolás Hernández Santibáñez , Alejandro Jofré , Dylan Possamaï

This paper presents a market-based optimization framework wherein Aggregators can compete for nodal capacity across a distribution feeder and guarantee that allocated flexible capacity cannot cause overloads or congestion. This mechanism,…

Optimization and Control · Mathematics 2022-07-12 Nawaf Nazir , Mads Almassalkhi

We examine market outcomes in energy transport networks with a focus on gas-fired generators, which are producers in a wholesale electricity market and consumers in the natural gas market. Market administrators monitor bids to determine…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Noah Rhodes , Sachin Shivakumar , Luke S. Baker , Kaarthik Sundar , Anatoly Zlotnik
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