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Despite major advancements in nonlinear programming (NLP) and convex relaxations, most system operators around the world still predominantly use some form of linear programming (LP) approximation of the AC power flow equations. This is…

Optimization and Control · Mathematics 2021-07-19 Sleiman , Mhanna , Pierluigi , Mancarella

This paper takes a fresh look at the economic theory that is motivation for pricing models, such as critical peak pricing (CPP), or surge pricing, and the demand response models advocated by policy makers and in the power systems…

Optimization and Control · Mathematics 2021-03-30 Hala Ballouz , Joel Mathias , Sean Meyn , Robert Moye , Joseph Warrington

We propose a dynamical theory of market liquidity that predicts that the average supply/demand profile is V-shaped and {\it vanishes} around the current price. This result is generic, and only relies on mild assumptions about the order flow…

Trading and Market Microstructure · Quantitative Finance 2011-11-02 Bence Toth , Yves Lemperiere , Cyril Deremble , Joachim de Lataillade , Julien Kockelkoren , Jean-Philippe Bouchaud

The existing research on market price-affecting agents, i.e. price makers, neglects or simplifies the nature of AC power flows in the power system as it predominantly relies on DC power flows. This paper proposes a novel bilevel formulation…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Karlo Šepetanc , Hrvoje Pandžić , Tomislav Capuder

Well known in the theory of network flows, Braess paradox states that in a congested network, it may happen that adding a new path between destinations can increase the level of congestion. In transportation networks the phenomenon results…

Systems and Control · Computer Science 2015-09-22 John Baillieul , Bowen Zhang , Shuai Wang

DC Optimal Power Flow (DC-OPF) problems optimize the generators' active power setpoints while satisfying constraints based on the DC power flow linearization. The computational tractability advantages of DC-OPF problems come at the expense…

Optimization and Control · Mathematics 2025-12-23 Babak Taheri , Daniel K. Molzahn

We study the optimal liquidation problem in a market model where the bid price follows a geometric pure jump process whose local characteristics are driven by an unobservable finite-state Markov chain and by the liquidation rate. This model…

Mathematical Finance · Quantitative Finance 2019-06-27 Katia Colaneri , Zehra Eksi , Rüdiger Frey , Michaela Szölgyenyi

It is well-known that a market equilibrium with uniform prices often does not exist in non-convex day-ahead electricity auctions. We consider the case of the non-convex, uniform-price Pan-European day-ahead electricity market "PCR" (Price…

Optimization and Control · Mathematics 2015-02-02 Mehdi Madani , Mathieu Van Vyve

We present a model of price formation in an inelastic market whose dynamics are partially driven by both money flows and their impact on asset prices. The money flow to the market is viewed as an investment policy of outside investors. For…

Mathematical Finance · Quantitative Finance 2025-01-24 I. Halperin , A. Itkin

We consider a network pricing game on a parallel network with congestion effects in which link owners set tolls for travel so as to maximize profit. A central authority is able to regulate this competition by means of a (uniform) price cap.…

Computer Science and Game Theory · Computer Science 2019-02-14 Tobias Harks , Marc Schroder , Dries Vermeulen

In power markets, understanding the cost dynamics of electricity generation is crucial. The complexity of price formation in the power system arises from its diverse attributes, such as various generator types, each characterized by its…

Theoretical Economics · Economics 2024-10-22 Shamim Homaei , Simon Roussanaly , Asgeir Tomasgard

Due to its theoretical virtues, several recent works propose the use of the incentive-compatible Vickrey-Clarke-Groves (VCG) mechanism for electricity markets. Coalitions of participants, however, can influence the VCG outcome to obtain…

Computer Science and Game Theory · Computer Science 2021-07-14 Orcun Karaca , Maryam Kamgarpour

In this paper, we study the price responsiveness of electricity consumption from empirical commercial and industrial load data obtained from Texas. Employing a dynamical system perspective, we show that price responsive demand can be…

Applications · Statistics 2016-12-16 Jaeyong An , P. R. Kumar , Le Xie

Relationships between the energy and the finance markets are increasingly important. Understanding these relationships is vital for policymakers and other stakeholders as the world faces challenges such as satisfying humanity's increasing…

General Economics · Economics 2025-07-17 Orr Shahar , Stefan Lessmann , Daniel Traian Pele

Coincident Peak (CP) pricing is widely used in U.S. electricity markets to allocate capacity and transmission costs. This paper develops a behavioral game-theoretic framework for CP-driven load shifting that couples a nonlinear…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Qian Zhang , Sadie Zhao , Lucy Diao , Conleigh Byers , Yiling Chen , Derya Cansever , Le Xie

We study an Arrow-Debreu economy with externalities generated by multiplex networks. Market equilibrium prices reflect both the preferences and scarcity of goods, consumers' network centralities arising from goods' externalities, as well as…

Theoretical Economics · Economics 2026-05-21 Chengqing Li , Yves Zenou , Junjie Zhou

Pricing the reactive power is more necessary than ever before because of the increasing challenge of renewable energy integration on reactive power balance and voltage control. However, reactive power price is hard to be efficiently…

Systems and Control · Electrical Eng. & Systems 2020-07-01 Yanghao Yu , Qingchun Hou , Yi Ge , Guojing Liu , Ning Zhang

This paper focuses on price-based residential demand response implemented through dynamic adjustments of electricity prices during DR events. It extends existing DR models to a stochastic framework in which customer response is represented…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Guido Cavraro , Andrey Bernstein , Emiliano Dall'Anese

Accurate forecasts of electricity prices are crucial for the management of electric power systems and the development of smart applications. European electricity prices have risen substantially and became highly volatile after the Russian…

The problem of pricing utility-scale energy storage resources (ESRs) in the real-time electricity market is considered. Under a rolling-window dispatch model where the operator centrally dispatches generation and consumption under…

Systems and Control · Electrical Eng. & Systems 2021-01-26 Cong Chen , Lang Tong , Ye Guo
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