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Finding clear economic signals for distribution-network operation and expansion is increasingly important as single-phase loads and distributed energy resources escalate. These devices create phase-to-phase imbalances that manifest as…

Systems and Control · Electrical Eng. & Systems 2026-03-30 Alireza Zabihi , Luis Badesa , Araceli Hernandez

We study the optimal routing problem in decentralized exchanges built on Constant Function Market Makers when trades can be split across multiple heterogeneous pools and execution incurs fixed on-chain costs (gas fees). While prior routing…

Optimization and Control · Mathematics 2026-03-04 Carlos Escudero , Felipe Lara , Miguel Sama

In the literature, when optimizing the sizing and operation of a residential PV system in combination with a battery energy storage system, the efficiency of the battery and the converter is generally assumed constant, which corresponds to…

Optimization and Control · Mathematics 2023-07-31 Jolien Despeghel , Jeroen Tant , Johan Driesen

Current state-of-the-art solution techniques for solving bilevel optimization problems either assume strong problem regularity criteria or are computationally intractable. In this paper we address power system problems of bilevel structure,…

Systems and Control · Electrical Eng. & Systems 2023-06-21 Domagoj Vlah , Karlo Šepetanc , Hrvoje Pandžić

Lifting methods allow to transform hard variational problems such as segmentation and optical flow estimation into convex problems in a suitable higher-dimensional space. The lifted models can then be efficiently solved to a global optimum,…

Numerical Analysis · Mathematics 2019-08-13 Thomas Vogt , Evgeny Strekalovskiy , Daniel Cremers , Jan Lellmann

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

Electricity market price predictions enable energy market participants to shape their consumption or supply while meeting their economic and environmental objectives. By utilizing the basic properties of the supply-demand matching process…

Applications · Statistics 2019-06-11 Ana Radovanovic , Tommaso Nesti , Bokan Chen

Recently, there is growing interest and need for dynamic pricing algorithms, especially, in the field of online marketplaces by offering smart pricing options for big online stores. We present an approach to adjust prices based on the…

Optimization and Control · Mathematics 2021-01-13 David Müller , Yurii Nesterov , Vladimir Shikhman

We study decentralized markets for goods whose utility perishes in time, with compute as a primary motivation. Recent advances in reproducible and verifiable execution allow jobs to pause, verify, and resume across heterogeneous hardware,…

Theoretical Economics · Economics 2025-11-21 Chengqi Zang , Gabriel P. Andrade , Oğuzhan Ersoy

Congestion pricing has received lots of attention in scientific discussion. Congestion pricing means that the operator increases prices at the time of congestion and the traffic demand are expected to decrease. In a certain sense, shadow…

Optimization and Control · Mathematics 2021-08-30 Jorma Jormakka , Sourangshu Ghosh

A branch flow model (BFM) is used to formulate the AC power flow in general networks. For each branch/line, the BFM contains a nonconvex quadratic equality. A mathematical formulation of its convex hull is proposed, which is the tightest…

Optimization and Control · Mathematics 2017-01-26 Qifeng Li , Vijay Vittal

The electricity industry has been one of the first to face technological changes motivated by sustainability concerns. Whilst efficiency aspects of market design have tended to focus upon market power concerns, the new policy challenges…

Theoretical Economics · Economics 2023-04-06 Lamia Varawala , Mohammad Reza Hesamzadeh , György Dán , Derek Bunn , Juan Rosellón

Unit commitment and load dispatch problems are important and complex problems in power system operations that have being traditionally solved separately. In this paper, both problems are solved together without approximations or…

Computers and Society · Computer Science 2019-03-25 Danilo Vasconcellos Vargas , Junichi Murata , Hirotaka Takano

Electricity markets typically operate in two stages, day-ahead and real-time. Despite best efforts striving efficiency, evidence of price manipulation has called for system-level market power mitigation (MPM) initiatives that substitute…

Optimization and Control · Mathematics 2023-08-11 Rajni Kant Bansal , Yue Chen , Pengcheng You , Enrique Mallada

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

Some consumers, particularly households, are unwilling to face volatile electricity prices, and they can perceive as unfair price differentiation in the same local area. For these reasons, nodal prices in distribution networks are rarely…

General Economics · Economics 2021-06-09 Iacopo Savelli , Thomas Morstyn

The price of solar panels is decreasing rapidly and governments around the world are investing in solar power plants to increase the portion of solar energy in the smart grid. The price of electricity produced by solar power plants is much…

Systems and Control · Electrical Eng. & Systems 2021-02-12 Muhammad Hamad Zaheer

A vital aspect in energy storage planning and operation is to accurately model its operational cost, which mainly comes from the battery cell degradation. Battery degradation can be viewed as a complex material fatigue process that based on…

Optimization and Control · Mathematics 2017-04-07 Yuanyuan Shi , Bolun Xu , Yushi Tan , Baosen Zhang

This paper studies how platform design shapes strategic behavior in decentralized electricity trading. We develop a finite-horizon dynamic game in which photovoltaic- and battery-equipped players ("prosumers") trade on a platform that maps…

General Economics · Economics 2026-03-23 Nicolas Eschenbaum , Nicolas Greber

We introduce a general mathematical framework for distributed algorithms, and a monotonicity property frequently satisfied in application. These properties are leveraged to provide finite-time guarantees for converging algorithms, suited…

Systems and Control · Electrical Eng. & Systems 2020-07-31 James Melbourne , Govind Saraswat , Vivek Khatana , Sourav Patel , Murti V. Salapaka
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