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In this paper, a novel approach to define the optimal bidding of renewable-only virtual power plants (RVPPs) in the day-ahead, secondary reserve, and intra-day markets is proposed. To this aim, a robust optimization algorithm is developed…

Systems and Control · Electrical Eng. & Systems 2024-02-20 Hadi Nemati , Pedro Sánchez-Martín , Álvaro Ortega , Lukas Sigrist , Enrique Lobato , Luis Rouco

As pressures to decarbonize the electricity grid increase, the grid edge is witnessing a rapid adoption of distributed and renewable generation. As a result, traditional methods for reactive power management and compensation may become…

Optimization and Control · Mathematics 2024-04-04 Adam Potter , Rabab Haider , Giulio Ferro , Michela Robba , Anuradha M. Annaswamy

The vast spatial dimension of modern interconnected electricity grids challenges the tractability of the DC optimal power flow problem. Grid aggregation methods try to overcome this challenge by reducing the number of network elements. Many…

Optimization and Control · Mathematics 2025-11-12 Benjamin Stöckl , Yannick Werner , Sonja Wogrin

In this article we propose a multi-zonal integrated energy-reserve market model. We assume that bidders may submit their demand and supply bids on the one hand in the form of conventional hourly step bids and block bids, which are cleared…

Systems and Control · Electrical Eng. & Systems 2020-04-29 Dávid Csercsik

This paper finds near equilibrium prices for electricity markets with nonconvexities due to binary variables, in order to reduce the market participants' opportunity costs, such as generators' unrecovered costs. The opportunity cost is…

General Economics · Economics 2019-02-20 Hassan Shavandi , Mehrdad Pirnia , J. David Fuller

We provide analytical tools for pricing power options with exotic features (capped or log payoffs, gap options ...) in the framework of exponential L\'evy models driven by one-sided stable or tempered stable processes. Pricing formulas take…

Pricing of Securities · Quantitative Finance 2021-01-20 Jean-Philippe Aguilar

We introduce a new and highly tractable structural model for spot and derivative prices in electricity markets. Using a stochastic model of the bid stack, we translate the demand for power and the prices of generating fuels into electricity…

Pricing of Securities · Quantitative Finance 2015-05-27 Rene Carmona , Michael Coulon , Daniel Schwarz

We analyze pricing mechanisms in electricity markets with AC power flow equations that define a nonconvex feasible set for the economic dispatch problem. Specifically, we consider two possible pricing schemes. The first among these prices…

Systems and Control · Electrical Eng. & Systems 2021-10-04 Mariola Ndrio , Anna Winnicki , Subhonmesh Bose

We study the structure of locational marginal prices in day-ahead and real-time wholesale electricity markets. In particular, we consider the case of two North American markets and show that the price correlations contain information on the…

Statistical Finance · Quantitative Finance 2022-09-13 Tianyu Cui , Francesco Caravelli , Cozmin Ududec

As multi-microgrids become readily available, some limited models have been proposed that study operational and power quality constraints with local energy markets independently. This paper proposes a convex optimization model of an energy…

Systems and Control · Electrical Eng. & Systems 2022-12-06 Johanna Castellanos , Carlos Adrian Correa-Florez , Alejandro Garcés , Gabriel Ordóñez-Plata , César A. Uribe , Diego Patino

The recent research report of U.S. Department of Energy prompts us to re-examine the pricing theories applied in electricity market design. The theory of spot pricing is the basis of electricity market design in many countries, but it has…

Econometrics · Economics 2017-10-24 Haoyong Chen , Lijia Han

The increasing vulnerability of power systems has heightened the need for operating reserves to manage contingencies such as generator outages, line failures, and sudden load variations. Unlike energy costs, driven by consumer demand,…

Systems and Control · Electrical Eng. & Systems 2025-06-06 Luiza Ribeiro , Alexandre Street , Jose Manuel Arroyo , Rodrigo Moreno

The participation of renewable, energy storage, and resources with limited fuel inventory in electricity markets has created the need for optimal scheduling and pricing across multiple market intervals for resources with intertemporal…

Optimization and Control · Mathematics 2019-10-08 Jinye Zhao , Tongxin Zheng , Eugene Litvinov

Constant product markets with concentrated liquidity (CL) are the most popular type of automated market makers. In this paper, we characterise the continuous-time wealth dynamics of strategic LPs who dynamically adjust their range of…

Mathematical Finance · Quantitative Finance 2024-06-14 Álvaro Cartea , Fayçal Drissi , Marcello Monga

The coordinated operation of interconnected but locally controlled electricity markets is generally referred to as a "coupling". In this paper we propose a new mechanism design for efficient coupling of independent electricity markets. The…

Optimization and Control · Mathematics 2021-01-13 Alfredo Garcia , Roohallah Khatami , Ceyhun Eksin , Furkan Sezer

The concept of Energy Hub (EH) has been emerged to accommodate renewable energy sources in a multi-energy system to deploy the synergies between electricity and other energy sources. However, the market mechanisms for the integration of the…

Optimization and Control · Mathematics 2022-05-31 Lu Wang , Mokhtar Bozorg , Mohammad Rayati , Rachid Cherkaoui

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

Electricity markets are experiencing a rapid increase in energy storage unit participation. Unlike conventional generation resources, quantifying the competitive operation and identifying if a storage unit is exercising market power is…

Systems and Control · Electrical Eng. & Systems 2025-01-16 Yiqian Wu , Bolun Xu , James Anderson

In this paper, we explored the opportunity to enhance power grid robustness after routing stage, and propose a linear programming based algorithm that maximizes the improvement of power grid strengthening with given available routing…

Hardware Architecture · Computer Science 2017-11-29 Tapio Bohn , Paul Salmi , Albert Milner

Renewable power sources have low marginal pro-duction costs, but may result in high balancing costs due to the inherent production uncertainty. Current day-ahead markets elicit only point production profiles and neglect the degree of…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Shobhit Singhal , Lesia Mitridati , Licio Romao