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Related papers: Locational Marginal Prices Obey DC Circuit Laws

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Pricing multi-interval economic dispatch of electric power under operational uncertainty is considered in this two-part paper. Part I investigates dispatch-following incentives of profit-maximizing generators and shows that, under mild…

Systems and Control · Electrical Eng. & Systems 2021-08-13 Ye Guo , Cong Chen , Lang Tong

This two-part paper considers the day-ahead operational planning problem of a radial distribution network hosting Distributed Energy Resources (DERs), such as Solar Photovoltaic (PV) and Electric Vehicles (EVs). In Part I, we develop a…

Optimization and Control · Mathematics 2019-06-05 Panagiotis Andrianesis , Michael Caramanis

This paper considers the day-ahead operational planning problem of radial distribution networks hosting Distributed Energy Resources, such as Solar Photovoltaic (PV) and Electric Vehicles (EVs). We present an enhanced AC Optimal Power Flow…

Optimization and Control · Mathematics 2020-12-25 Panagiotis Andrianesis , Michael Caramanis

The Optimal Power Flow (OPF) problem is a fundamental building block for the optimization of electrical power systems. It is nonlinear and nonconvex and computes the generator setpoints for power and voltage, given a set of load demands. It…

Signal Processing · Electrical Eng. & Systems 2019-12-04 Ferdinando Fioretto , Terrence W. K. Mak , Pascal Van Hentenryck

The increasing penetration of variable renewable energy and flexible demand technologies, such as electric vehicles and heat pumps, introduces significant uncertainty in power systems, resulting in greater imbalance; defined as the…

Statistical Finance · Quantitative Finance 2025-09-08 Timothée Hornek , Sergio Potenciano Menci , Ivan Pavić

Modern market management systems continue to evolve due to the intentions to improve system security and reliability. This evolvement has been leading to a transition of market auction models from a deterministic structure with…

Systems and Control · Electrical Eng. & Systems 2021-02-22 Mohammad Ghaljehei , Mojdeh Khorsand

The problem of dynamic pricing of electricity in a retail market is considered. A Stackelberg game is used to model interactions between a retailer and its customers; the retailer sets the day-ahead hourly price of electricity and consumers…

Optimization and Control · Mathematics 2016-03-01 Liyan Jia , Lang Tong

Interconnecting price zones and remote renewable energy sources has emerged as a key solution to achieving climate goals. The objective of this work is to present a formulation that extends the base optimal power flow model with price zones…

Systems and Control · Electrical Eng. & Systems 2025-05-27 Bernardo Castro Valerio , Vinícius Albernaz Lacerda , Marc Cheah-Mañe , Pieter Gebraad , Oriol Gomis-Bellmunt

This paper analyzes stability conditions for wholesale electricity markets under real-time retail pricing and realistic consumption models with memory, which explicitly take into account previous electricity prices and consumption levels.…

Systems and Control · Computer Science 2017-02-21 Datong P. Zhou , Mardavij Roozbehani , Munther A. Dahleh , Claire J. Tomlin

Direct-current microgrids (DC-MGs) can operate in either grid-connected or stand-alone mode. In particular, stand-alone DC-MG has many distinct applications. However, the optimal power flow problem of a stand-alone DC-MG is inherently…

Optimization and Control · Mathematics 2017-08-18 Jia Li , Feng Liu , Zhaojian Wang , Steven H Low , Shengwei Mei

Nonconvexities in markets with discrete decisions and nonlinear constraints make efficient pricing challenging, often necessitating subsidies. A prime example is the unit commitment (UC) problem in electricity markets, where costly…

Optimization and Control · Mathematics 2026-02-18 Cheng Guo , Lauren Henderson , Ryan Cory-Wright , Boshi Yang

This two-part paper considers the day-ahead operational planning problem of a radial distribution network hosting Distributed Energy Resources (DERs) including Solar Photovoltaic (PV) and storage-like loads such as Electric Vehicles (EVs).…

Optimization and Control · Mathematics 2019-06-05 Panagiotis Andrianesis , Michael Caramanis

Networked systems that occur in various domains, such as the power grid, the brain, and opinion networks, are known to obey conservation laws. For instance, electric networks obey Kirchoff's laws, and social networks display opinion…

Systems and Control · Electrical Eng. & Systems 2023-02-02 Anirudh Rayas , Rajasekhar Anguluri , Jiajun Cheng , Gautam Dasarathy

Nothing has done more to empower the free market, enterprise, and meritocracy than the spread of electricity and power to everyone. The power system has been the precursor to the greatest period of innovation in our history and has meant…

General Finance · Quantitative Finance 2021-03-22 Martin Higgins

Large, spatially flexible electricity consumers such as data centers can reallocate demand across locations, influencing dispatch and prices in wholesale electricity markets. While flexible load is often assumed to improve system…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Aron Brenner , Deepjyoti Deka , Line Roald , Saurabh Amin

We address the need for forecasting methodologies that handle large uncertainties in electricity prices for continuous intraday markets by incorporating parameter uncertainty and using a broad set of covariables. This study presents the…

Applications · Statistics 2025-09-11 Daniel Nickelsen , Gernot Müller

Direct current (DC) circuits are usually taught in upper-level physics curricula, and Kirchhoff's laws are stated and used to solve the steady-state currents. However, students are not often introduced to alternative techniques, such as…

Classical Physics · Physics 2019-03-28 Sree Harsha N R

Pricing storage operation in the real-time market under demand and generation stochasticities is considered. A scenario-based stochastic rolling-window dispatch model is formulated for the real-time market, consisting of conventional…

Systems and Control · Electrical Eng. & Systems 2022-10-20 Cong Chen , Lang Tong

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

Several approaches have been proposed to forecast day-ahead locational marginal price (daLMP) in deregulated energy markets. The rise of deep learning has motivated its use in energy price forecasts but most deep learning approaches fail to…

Machine Learning · Computer Science 2020-10-14 Dipanwita Saha , Felipe Lopez