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The variability caused by the proliferation of distributed energy resources (DERs) and the significant growth in unbalanced three-phase loads pose unprecedented challenges to distribution network operations. This paper focuses on how a…

Systems and Control · Electrical Eng. & Systems 2023-08-31 Zelong Lu , Jianxue Wang , Mohammad Shahidehpour , Linquan Bai , Zuyi Li , Lei Yan , Xianlong Chen

A fundamental theorem of linear programming states that a feasible linear program is solvable if and only if its objective function is copositive with respect to the recession cone of its feasible set. This paper demonstrates that this…

Optimization and Control · Mathematics 2026-01-01 Vinh Nguyen

The concept of dispatchable region is useful in quantifying how much renewable generation power the system can handle. In this paper, we aim to provide an improved dispatchable region approximation method in distribution networks. First,…

Optimization and Control · Mathematics 2022-05-03 Yue Chen , Changhong Zhao

The growing share of proactive actors in the electricity markets calls for more attention on prosumers and more support for their decision-making under decentralized electricity markets. In view of the changing paradigm, it is crucial to…

Optimization and Control · Mathematics 2021-05-24 Ni Wang , Remco Verzijlbergh , Petra Heijnen , Paulien Herder

This study investigates two models of varying complexity for optimizing intraday arbitrage energy trading of a battery energy storage system using a model predictive control approach. Scenarios reflecting different stages of the system's…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Martin Cornejo , Melina Graner , Holger Hesse , Andreas Jossen

We propose a linear cutting-plane pricing algorithm tailored for large-scale electricity markets, addressing nonconvexities arising from the Alternating Current Optimal Power Flow equations. We benchmark our algorithm against a Direct…

Optimization and Control · Mathematics 2025-04-15 Matías Romero , Felipe Verástegui , Matías Villagra

We present a novel framework for robust out-of-distribution planning and control using conformal prediction (CP) and system level synthesis (SLS), addressing the challenge of ensuring safety and robustness when using learned dynamics models…

Robotics · Computer Science 2026-02-13 Anutam Srinivasan , Antoine Leeman , Glen Chou

The potential of recovering the topology of a grid using solely publicly available market data is explored here. In contemporary whole-sale electricity markets, real-time prices are typically determined by solving the network-constrained…

Machine Learning · Computer Science 2014-02-17 Vassilis Kekatos , Georgios B. Giannakis , Ross Baldick

In this letter, we present an alternative mixed-integer non-liner programming formulation of the reactive optimal power flow (ROPF) problem. We utilize a mixed-integer second-order cone programming (MISOCP) based approach to find global…

Optimization and Control · Mathematics 2021-03-12 Sezen Ece Kayacık , Burak Kocuk

This paper presents an integrated framework that combines traditional network optimization models with large language models (LLMs) to deliver interactive, explainable, and role-aware decision support for supply chain planning. The proposed…

Artificial Intelligence · Computer Science 2025-09-01 Saravanan Venkatachalam

We develop a new market-making model, from the ground up, which is tailored towards high-frequency trading under a limit order book (LOB), based on the well-known classification of order types in market microstructure. Our flexible…

Trading and Market Microstructure · Quantitative Finance 2020-01-31 Baron Law , Frederi Viens

This paper presents a comprehensive theoretical analysis of six distinct Mixed-Integer Programming (MIP) formulations for preventive Generator Maintenance Scheduling (GMS), a critical problem for ensuring the reliability and efficiency of…

Optimization and Control · Mathematics 2025-02-14 Tiago Andrade

Considering that the existing setup of the European electricity markets promotes the spatial coordination of neighbouring power systems only on the day-ahead market stage, regional system operators have to rely mainly on their internal…

Optimization and Control · Mathematics 2015-03-03 Stefanos Delikaraoglou , Pierre Pinson , Robert Eriksson , Tilman Weckesser

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

Bilevel programs with spatial price equilibrium constraints are strategic models that consider a price competition at the lower level. These models find application in facility location-price models, optimal bidding in power networks, and…

Optimization and Control · Mathematics 2024-06-25 Akshit Goyal , Jean-Philippe P. Richard

The dynamic response of power grids to small disturbances influences their overall stability. This paper examines the effect of network topology on the linearized time-invariant dynamics of electric power systems. The proposed framework…

Optimization and Control · Mathematics 2021-09-14 Siddharth Bhela , Harsha Nagarajan , Deepjyoti Deka , Vassilis Kekatos

Although production is an integral part of the Arrow-Debreu market model, most of the work in theoretical computer science has so far concentrated on markets without production, i.e., the exchange economy. This paper takes a significant…

Computer Science and Game Theory · Computer Science 2013-09-24 Jugal Garg , Vijay V. Vazirani

Computational speed and global optimality are key needs for practical algorithms for the optimal power flow problem. Two convex relaxations offer a favorable trade-off between the standard second-order cone and the standard semidefinite…

Optimization and Control · Mathematics 2021-12-23 Christian Bingane , Miguel F. Anjos , Sébastien Le Digabel

Currently, system operators implement demand response by dispatching controllable loads for economic reasons in day-ahead scheduling. Particularly, demand shifting from peak hours when the cost of electricity is higher to non-peak hours to…

Optimization and Control · Mathematics 2020-06-23 Arun Venkatesh Ramesh , Xingpeng Li

We consider the problem of distributed secondary frequency regulation in power networks such that stability and an optimal power allocation are attained. This is a problem that has been widely studied in the literature, and two main control…

Optimization and Control · Mathematics 2020-08-12 Andreas Kasis , Nima Monshizadeh , Ioannis Lestas