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Distributed Generation (DG) units are increasingly installed in the power systems. Distribution Companies (DisCo) can opt to purchase the electricity from DG in an energy purchase contract to supply the customer demand and reduce energy…

Computational Engineering, Finance, and Science · Computer Science 2017-12-04 Ashkan Sadeghi Mobarakeh , Abbas Rajabi-Ghahnavieh , Hossein Haghighat

We present a general computational framework for solving continuous-time financial market equilibria under minimal modeling assumptions while incorporating realistic financial frictions, such as trading costs, and supporting multiple…

Mathematical Finance · Quantitative Finance 2025-04-08 Anastasis Kratsios , Xiaofei Shi , Qiang Sun , Zhanhao Zhang

Economic dispatch problem for a networked power system has been considered. The objective is to minimize the total generation cost while meeting the overall supply-demand balance and generation capacity. In particular, a more practical…

Systems and Control · Computer Science 2019-05-01 Seungjoon Lee , Hyungbo Shim

This paper addresses a multi-stage generation investment problem for a strategic (price-maker) power producer in electricity markets. This problem is exposed to different sources of uncertainty, including short-term operational (e.g.,…

Optimization and Control · Mathematics 2018-10-31 Vladimir Dvorkin , Jalal Kazempour , Luis Baringo , Pierre Pinson

This research presents a novel approach to solving the economic load dispatch (ELD) problem in smart grid systems by leveraging a multi-agent distributed consensus strategy. The core idea revolves around achieving agreement among generators…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Arnab Pal , Suman Singha Roy , Asim Kumar Naskar

The economic dispatch problem is considered for unbalanced three-phase power distribution networks entailing both non-deferrable and elastic loads, and distributed generation (DG) units. The objective is to minimize the costs of power drawn…

Optimization and Control · Mathematics 2012-11-27 Emiliano Dall'Anese , Georgios B. Giannakis , Bruce F. Wollenberg

This paper presents an analysis of the stability and quality of the distributed generation planning problem's investment solution. The entry of distributed generators power based on non-conventional energy sources has been extensively…

Systems and Control · Electrical Eng. & Systems 2021-03-31 Luis Lopez , Alvaro Gonzalez-Castellanos , David Pozo

We introduce Equilibrium Matching (EqM), a generative modeling framework built from an equilibrium dynamics perspective. EqM discards the non-equilibrium, time-conditional dynamics in traditional diffusion and flow-based generative models…

Machine Learning · Computer Science 2025-10-14 Runqian Wang , Yilun Du

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…

Systems and Control · Electrical Eng. & Systems 2025-01-15 Vladimir Dvorkin

We formulate a method to co-optimize power system capacity planning decisions and policy investments that shape electricity load patterns. To this end, we leverage a gradient-based solution technique that enables the efficient solution of…

Systems and Control · Electrical Eng. & Systems 2026-04-17 Robert Mieth

In day-ahead electricity markets based on uniform marginal pricing, small variations in the offering and bidding curves may substantially modify the resulting market outcomes. In this work, we deal with the problem of finding the optimal…

Applications · Statistics 2024-07-01 António Alcántara , Carlos Ruiz

The rapid increase of photovoltaic cells, batteries, and Electric Vehicles (EVs) in electric grids can result in congested distribution networks. An alternative to enhancing network capacity is a redispatch market, allowing Distribution…

Systems and Control · Electrical Eng. & Systems 2024-03-19 Amirreza Silani , Simon H. Tindemans

As a key component of power system production simulation, load forecasting is critical for the stable operation of power systems. Machine learning methods prevail in this field. However, the limited training data can be a challenge. This…

Systems and Control · Electrical Eng. & Systems 2024-12-18 Linna Xu , Yongli Zhu

Electricity market operators worldwide use mixed-integer linear programming to solve the allocation problem in wholesale electricity markets. Prices are typically determined based on the duals of relaxed versions of this optimization…

Computer Science and Game Theory · Computer Science 2023-12-13 Mete Şeref Ahunbay , Martin Bichler , Teodora Dobos , Johannes Knörr

In a dynamic distribution market environment, residential prosumers with solar power generation and battery energy storage devices can flexibly interact with the power grid via power exchange. Providing a schedule of this bidirectional…

Systems and Control · Electrical Eng. & Systems 2023-09-19 Yang Li , D. Mahinda Vilathgamuwa , Daniel E. Quevedo , Chih Feng Lee , Changfu Zou

Generation expansion planning (GEP) models have been useful aids for long-term planning. Recent growth in intermittent renewable generation has increased the need to represent the capability for non-renewables to respond to rapid changes in…

Optimization and Control · Mathematics 2025-08-08 Hassan Shavandi , Mehrdad Pirnia , J. David Fuller

In this paper, we deal with the equilibrium selection problem, which amounts to steering a population of individuals engaged in strategic game-theoretic interactions to a desired collective behavior. In the literature, this problem has been…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Lorenzo Zino , Mengbin Ye , Giuseppe Carlo Calafiore , Alessandro Rizzo

This paper considers the economic dispatch problem for a network of power generators and customers. In particular, our aim is to minimize the total generation cost under the power supply-demand balance and the individual generation capacity…

Systems and Control · Computer Science 2021-01-11 Hyeonjun Yun , Hyungbo Shim , Hyo-Sung Ahn

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

Market power behaviour often occurs in modern wholesale electricity markets. Mixed Complementarity Problems (MCPs) have been typically used for computational modelling of market power when it is characterised by an oligopoly with…

Optimization and Control · Mathematics 2020-01-13 Mel T. Devine , Sauleh Siddiqui
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