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This paper studies the optimal investment behavior of renewable electricity producers in a competitive market, where both prices and installation costs are influenced by aggregate industry activity. We model the resulting crowding effects…

最优化与控制 · 数学 2025-07-16 Emma Hubert , Dimitrios Lolas , Ronnie Sircar

We propose a mean field game (MFG) framework to model the evolution of renewable energy production in competitive electricity markets. Producers interact through the spot price while optimising their profits under production, installation,…

最优化与控制 · 数学 2026-03-25 Luciano Campi , Zhuoshu Wu

Renewable resources are starting to constitute a growing portion of the total generation mix of the power system. A key difference between renewables and traditional generators is that many renewable resources are managed by individuals,…

最优化与控制 · 数学 2019-10-07 Pan Li , Shreyas Sekar , Baosen Zhang

In two-stage electricity markets, renewable power producers enter the day-ahead market with a forecast of future power generation and then reconcile any forecast deviation in the real-time market at a penalty. The choice of the forecast…

系统与控制 · 电气工程与系统科学 2025-01-15 Vladimir Dvorkin

We develop a model for the industry dynamics in the electricity market, based on mean-field games of optimal stopping. In our model, there are two types of agents: the renewable producers and the conventional producers. The renewable…

最优化与控制 · 数学 2020-04-30 René Aïd , Roxana Dumitrescu , Peter Tankov

The impact of energy production significantly affects system sustainability, which has enabled a shift towards renewable energy sources. Thus, producer behavior is crucial in electricity markets to achieve sustainability goals. In this…

系统与控制 · 电气工程与系统科学 2024-07-03 Mohammad Reza Karimi Gharigh , Lamia Varawala , Mohammad Reza Hesamzadeh , György Dán

The most serious threat to ecosystems is the global climate change fueled by the uncontrolled increase in carbon emissions. In this project, we use mean field control and mean field game models to analyze and inform the decisions of…

最优化与控制 · 数学 2021-07-06 Rene Carmona , Gokce Dayanikli , Mathieu Lauriere

This paper investigates the role of a transmission system operator within a carbon footprint reduction strategy incorporating carbon taxes and renewable energy generation subsidies in the decentralised energy market. This is achieved via an…

最优化与控制 · 数学 2024-04-03 Nikita Belyak , Steven A. Gabriel , Nikolay Khabarov , Fabricio Oliveira

The growing integration of renewable energy sources necessitates adequate reserve capacity to maintain power balance. However, in market clearing, power companies with flexible resources may submit strategic bids to maximize profits,…

系统与控制 · 电气工程与系统科学 2025-06-26 Yun Xu , Yunxiao Bai , Yunyong Zhang , Peng Wang , Xuelin Wang , Jiqun Guo , Kaijun Xie , Rusheng Zhao

The capacity market, a marketplace to exchange available generation capacity for electricity production, provides a major revenue stream for generators and is adopted in several U.S. regions. A subject of ongoing debate, the capacity market…

最优化与控制 · 数学 2023-11-14 Cheng Guo , Christian Kroer , Yury Dvorkin , Daniel Bienstock

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…

系统与控制 · 电气工程与系统科学 2023-05-23 Dongwei Zhao , Audun Botterud , Marija Ilic

In power systems, large-scale optimisation problems are extensively used to plan for capacity expansion at the supra-national level. However, their cost-optimal solutions are often not exploitable by decision-makers who are preferably…

最优化与控制 · 数学 2022-06-01 Antoine Dubois , Damien Ernst

There is a strong need to reduce greenhouse gas emissions to deal with climate change. In the power sector, changing the power generation method in the medium and long term is needed to reduce greenhouse gas emissions. This paper proposes a…

系统与控制 · 电气工程与系统科学 2022-07-20 Shintaro Negishi

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…

系统与控制 · 电气工程与系统科学 2024-02-06 Aviad Navon , Juri Belikov , Ariel Orda , Yoash Levron

The participation of renewable energy sources in energy markets is challenging, mainly because of the uncertainty associated with the renewables. Aggregation of renewable energy suppliers is shown to be very effective in decreasing this…

最优化与控制 · 数学 2016-09-26 Farshad Harirchi , Tyrone Vincent , Dejun Yang

Energy system optimization models are important tools to provide insights regarding trade-offs and interrelations in cost-efficient transformation pathways towards a climate neutral energy system. Using an optimization model of the European…

We focus on the aggregation of distributed energy resources (DERs) through a profit-maximizing intermediary that enables participation of DERs in wholesale electricity markets. Particularly, we study the market efficiency brought in by the…

最优化与控制 · 数学 2020-04-21 Khaled Alshehri , Mariola Ndrio , Subhonmesh Bose , Tamer Başar

The inherent intermittency of renewable sources like wind and solar has resulted in a bundling of renewable generators with storage resources (batteries) for increased reliability. In this paper, we consider the problem of energy sharing…

系统与控制 · 电气工程与系统科学 2020-05-20 Vivek Deulkar , Jayakrishnan Nair

Although recent studies have shown that electricity systems with shares of wind and solar above 80% can be affordable, economists have raised concerns about market integration. Correlated generation from variable renewable sources depresses…

综合金融 · 定量金融 2021-06-14 T. Brown , L. Reichenberg

The rapid growth of variable renewable energy has increased the need for flexible and efficiently coordinated energy resources. In this context, hybrid resources that combine renewable generation and battery storage within a single…

系统与控制 · 电气工程与系统科学 2026-05-15 Hikaru Hoshino , Taiyo Mantani , Eiko Furutani
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