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It is well-known that optimizing network topology by switching on and off transmission lines improves the efficiency of power delivery in electrical networks. In fact, the USA Energy Policy Act of 2005 (Section 1223) states that the U.S.…

Optimization and Control · Mathematics 2017-06-14 Burak Kocuk , Hyemin Jeon , Santanu S. Dey , Jeff Linderoth , James Luedtke , Andy Sun

Optimal Transmission Switching (OTS) problems minimize operational costs while treating both the transmission line energization statuses and generator setpoints as decision variables. The combination of nonlinearities from an AC power flow…

Systems and Control · Electrical Eng. & Systems 2025-05-05 Babak Taheri , Daniel K. Molzahn

The design of new strategies that exploit methods from Machine Learning to facilitate the resolution of challenging and large-scale mathematical optimization problems has recently become an avenue of prolific and promising research. In this…

Optimization and Control · Mathematics 2024-04-08 Salvador Pineda , Juan Miguel Morales , Asunción Jiménez-Cordero

The goal of Optimal Transmission Switching (OTS) problem for power systems is to identify a topology of the power grid that minimizes the cost of the system operation while satisfying the operational and physical constraints. Among the most…

Optimization and Control · Mathematics 2021-10-18 Juncheng Li , Trivikram Dokka , Guglielmo Lulli , Fabrizio Lacalandra

In this paper, we formulate optimization problems to perform optimal transmission switching (OTS) in order to operate power transmission grids most efficiently. In any given electrical network, several of the transmission lines are…

Systems and Control · Electrical Eng. & Systems 2023-09-07 Vineet Jagadeesan Nair

AC optimal transmission switching (AC-OTS) is a computationally challenging problem due to the nonconvexity and nonlinearity of AC power-flow (PF) equations coupled with a large number of binary variables. A computationally efficient…

Systems and Control · Electrical Eng. & Systems 2026-03-04 Rahul K. Gupta

Network connectedness is indispensable for the normal operation of transmission networks. However, there still remains a lack of efficient constraints that can be directly added to the problem formulation of optimal transmission switching…

Systems and Control · Electrical Eng. & Systems 2020-12-29 Tong Han , Yue Song , David J. Hill

As the modern transmission control and relay technologies evolve, transmission line switching has become an important option in power system operators' toolkits to reduce operational cost and improve system reliability. Most recent research…

Optimization and Control · Mathematics 2017-06-14 Burak Kocuk , Santanu S. Dey , X. Andy Sun

This paper studies the optimal transmission switching (OTS) problem for power systems, where certain lines are fixed (uncontrollable) and the remaining ones are controllable via on/off switches. The goal is to identify a topology of the…

Optimization and Control · Mathematics 2017-11-29 Salar Fattahi , Javad Lavaei , Alper Atamturk

This paper addresses the Optimal Transmission Switching (OTS) problem in electricity networks, which aims to find an optimal power grid topology that minimizes system operation costs while satisfying physical and operational constraints.…

Optimization and Control · Mathematics 2024-04-08 Salvador Pineda , Juan Miguel Morales , Álvaro Porras , Concepción Domínguez

The Alternating Current Optimal Transmission Switching (ACOTS) problem incorporates line switching decisions into the AC Optimal Power Flow (ACOPF) framework, offering well-known benefits in reducing operational costs and enhancing system…

Optimization and Control · Mathematics 2025-06-09 Cheng Guo , Harsha Nagarajan , Merve Bodur

The Optimal Power Shutoff (OPS) problem is an optimization problem that makes power line de-energization decisions in order to reduce the risk of igniting a wildfire, while minimizing the load shed of customers. This problem, with DC linear…

Optimization and Control · Mathematics 2024-03-27 Eric Haag , Noah Rhodes , Line Roald

This paper deals with optimal transmission switching (OTS) problems involving discrete binary decisions about network topology and non-convex power flow constraints. We adopt a semidefinite programming formulation for the OPF problem which,…

Optimization and Control · Mathematics 2018-07-25 Chin-Yao Chang , Sonia Martinez , Jorge Cortes

Optimal transmission switching (OTS) improves optimal power flow (OPF) by selectively opening transmission lines, but its mixed-integer formulation increases computational complexity, especially on large grids. To address this, we propose a…

Systems and Control · Electrical Eng. & Systems 2026-03-05 Minsoo Kim , Matthew Brun , Andy Sun , Jip Kim

This article develops a strengthened convex quadratic convex (QC) relaxation of the AC Optimal Power Flow (AC-OPF) problem and presents an optimization-based bound-tightening (OBBT) algorithm to compute tight, feasible bounds on the voltage…

Optimization and Control · Mathematics 2019-01-30 Kaarthik Sundar , Harsha Nagarajan , Sidhant Misra , Mowen Lu , Carleton Coffrin , Russell Bent

Optimal transmission switching (OTS) improves optimal power flow (OPF) by selectively opening transmission lines, but its mixed-integer formulation increases computational complexity, especially on large grids. To deal with this, we propose…

Systems and Control · Electrical Eng. & Systems 2025-07-24 Minsoo Kim , Jip Kim

The benefits of transmission line switching are well-known in terms of reducing operational cost and improving system reliability of power systems. However, finding the optimal power network configuration is a challenging task due to the…

Optimization and Control · Mathematics 2022-12-26 Santanu S. Dey , Burak Kocuk , Nicole Redder

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

This paper focuses on the issue of network connectedness (NC) in security-constrained optimal transmission switching problems, which is complicated by branch contingencies and corrective line switching. Two criteria are firstly proposed…

Systems and Control · Electrical Eng. & Systems 2022-02-10 Tong Han , David J. Hill , Yue Song

Chance-constrained optimization has emerged as a promising framework for managing uncertainties in power systems. This work advances its application to the DC Optimal Power Flow (DC-OPF) model, developing a novel approach to uncertainty…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Tianyang Yi , D. Adrian Maldonado , Anirudh Subramanyam
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