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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

This paper studies a constrained optimization problem over networked systems with an undirected and connected communication topology. The algorithm proposed in this work utilizes singular perturbation, dynamic average consensus, and saddle…

Optimization and Control · Mathematics 2017-10-24 Phuong Huu Hoang , Hyo-Sung Ahn

The chance constrained optimal power flow (CC-OPF) essentially finds the low-cost generation dispatch scheme ensuring operational constraints are met with a specified probability, termed the security level. While the security level is a…

Optimization and Control · Mathematics 2025-06-24 Shenglu Wang , Kairui Feng , Mengqi Xue , Yue Song

In this paper, we consider a chance-constrained formulation of the optimal power flow problem to handle uncertainties resulting from renewable generation and load variability. We propose a tuning method that iterates between solving an…

Optimization and Control · Mathematics 2020-05-28 Ashley M. Hou , Line A. Roald

This paper presents a novel approach to handle the computational complexity in security-constrained unit commitment (SCUC) with corrective network reconfiguration (CNR) to harness the flexibility in transmission networks. This is achieved…

Optimization and Control · Mathematics 2020-07-21 Arun Venkatesh Ramesh , Xingpeng Li , Kory W. Hedman

We consider a linear consensus system with n agents that can switch between r different connectivity patterns. A natural question is which switching law yields the best (or worst) possible speed of convergence to consensus? We formulate…

Optimization and Control · Mathematics 2014-07-10 Orel Ron , Michael Margaliot , Michael S. Branicky

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

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

Networked control systems (NCS) have attracted considerable attention in recent years. While the stabilizability and optimal control of NCS for a given communication system has already been studied extensively, the design of the…

Systems and Control · Computer Science 2018-10-12 Ben W. Carabelli , Rainer Blind , Frank Dürr , Kurt Rothermel

Neural Networks (NNs) can provide major empirical performance improvements for robotic systems, but they also introduce challenges in formally analyzing those systems' safety properties. In particular, this work focuses on estimating the…

Systems and Control · Electrical Eng. & Systems 2021-05-26 Michael Everett , Golnaz Habibi , Jonathan P. How

We present sufficient conditions for the load-flow solvability under security constraints in DC distribution networks. In addition, we show that a load-flow solution that fulfills security constraints can be obtained via a convex…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Zhe Chen , Cong Wang

While transmission switching is known to reduce power generation costs, the difficulty of solving even DC optimal transmission switching (DCOTS) has prevented optimal transmission switching from becoming commonplace in real-time power…

Optimization and Control · Mathematics 2021-05-17 Emma S. Johnson , Shabbir Ahmed , Santanu S. Dey , Jean-Paul Watson

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

In the freeway network control (FNC) problem, the operation of a traffic network is optimized using only flow control. For special cases of the FNC problem, in particular the case when all merging flows are controlled, there exist tight…

Optimization and Control · Mathematics 2018-03-30 Marius Schmitt , John Lygeros

Different from most transactive control studies only focusing on economic aspect, this paper develops a novel network-constrained transactive control (NTC) framework that can address both economic and secure issues for a…

Optimization and Control · Mathematics 2020-11-09 Xiaodong Yang , Zehao Song , Jinyu Wen , Chongbo Xu , Qiuwei Wu , Youbing Zhang , Menglin Zhang , Shijie Cheng

We study optimal transmission strategies in interfering wireless networks, under Quality of Service constraints. A buffered, dynamic network with multiple sources is considered, and sources use a retransmission strategy in order to improve…

Systems and Control · Computer Science 2010-09-22 Marco Levorato , Daniel O'Neill , Andrea Goldsmith , Urbashi Mitra

In this work, we consider a typical three-node, two-way relaying network (TWRN) over fading channels. The aim is to minimize the entire system energy usage for a TWRN in the long run, while satisfying the required average symmetric exchange…

Information Theory · Computer Science 2016-11-17 Zhi Chen , Pin-Han Ho

This paper introduces a framework to capture previously intractable optimization constraints and transform them to a mixed-integer linear program, through the use of neural networks. We encode the feasible space of optimization problems…

Systems and Control · Electrical Eng. & Systems 2022-07-15 Ilgiz Murzakhanov , Andreas Venzke , George S. Misyris , Spyros Chatzivasileiadis

We study quasi-convex optimization problems, where only a subset of the constraints can be sampled, and yet one would like a probabilistic guarantee on the obtained solution with respect to the initial (unknown) optimization problem. Even…

Optimization and Control · Mathematics 2021-01-06 Guillaume O. Berger , Raphaël M. Jungers , Zheming Wang

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