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Transmission system operators need to adapt their decision-making tools to the technological evolutions of the twenty first century. A computation inherent to most tools seeks to find alternating-current power flows that minimize power loss…

Optimization and Control · Mathematics 2016-08-15 Cédric Josz

Designing robust algorithms for the optimal power flow (OPF) problem is critical for the control of large-scale power systems under uncertainty. The chance-constrained OPF (CCOPF) problem provides a natural formulation of the trade-off…

Optimization and Control · Mathematics 2025-01-23 Eli Brock , Haixiang Zhang , Javad Lavaei , Somayeh Sojoudi

The proliferation of phasor measurement units (PMUs) into electric power distribution grids presents new opportunities for utility operators to manage distribution systems more effectively. One potential application of PMU measurements is…

Optimization and Control · Mathematics 2019-06-27 Michael D. Sankur , Roel Dobbe , Alexandra von Meier , Emma M. Stewart , Daniel B. Arnold

This paper considers distribution systems with a high penetration of distributed, renewable generation and addresses the problem of incorporating the associated uncertainty into the optimal operation of these networks. Joint chance…

Optimization and Control · Mathematics 2019-03-07 Kyri Baker , Andrey Bernstein

Optimal power flow (OPF) is an important tool for Independent System Operators (ISOs) to deal with the power generation management. With the increasing penetration of renewable energy into power grids, challenges arise in tackling the OPF…

Optimization and Control · Mathematics 2023-06-27 Jia Yang , Jun Song , Chaoyue Zhao

The optimal power flow (OPF) problem minimizes power system operating cost subject to both engineering and network constraints. With the potential to find global solutions, significant research interest has focused on convex relaxations of…

Optimization and Control · Mathematics 2014-02-03 Daniel K. Molzahn , Ian A. Hiskens

The problem of optimal control of power distribution systems is becoming increasingly compelling due to the progressive penetration of distributed energy resources in this specific layer of the electrical infrastructure. Distribution…

Systems and Control · Computer Science 2016-11-17 Konstantina Christakou , Jean-Yves Le Boudec , Mario Paolone , Dan-Cristian Tomozei

This is the second part of a two-part paper on data-based distributionally robust stochastic optimal power flow (OPF). The general problem formulation and methodology have been presented in Part I [1]. Here, we present extensive numerical…

Optimization and Control · Mathematics 2018-10-29 Yi Guo , Kyri Baker , Emiliano Dall'Anese , Zechun Hu , Tyler H. Summers

Flexible transmission line impedances on one hand are a promising control resource for facilitating grid flexibility, but on the other hand add much complexity to the concerned optimization problems. This paper develops a convexification…

Optimization and Control · Mathematics 2022-04-12 Yue Song , David J. Hill , Tao Liu , Tianlun Chen

This paper proposes a simple and flexible storage model for use in a variety of multi-period optimal power flow problems. The proposed model is designed for research use in a broad assortment of contexts enabled by the following key…

Systems and Control · Electrical Eng. & Systems 2020-05-01 Frederik Geth , Carleton Coffrin , David M Fobes

In this paper, we propose a combined Online Feedback Optimization (OFO) and dynamic estimation approach for a real-time power grid operation under time-varying conditions. A dynamic estimation uses grid measurements to generate the…

Systems and Control · Electrical Eng. & Systems 2022-05-17 Miguel Picallo , Dominic Liao-McPherson , Saverio Bolognani , Florian Dörfler

Balanced steady operation state in power networks changes over time. Traditional power flow algorithm is focused on the steady operation state under a certain time point and calculates the corresponding voltage and power distributions for…

Optimization and Control · Mathematics 2020-01-24 Zongjie Wang , C. Lindsay Anderson

Optimal power flow (OPF) problems are non-convex and large-scale optimization problems with important applications in power networks. This paper proposes the scheduled-asynchronous algorithm to solve a distributed semidefinite programming…

Optimization and Control · Mathematics 2017-10-10 Chin-Yao Chang , Jorge Cortes , Sonia Martinez

This paper proposes a novel method for solving and tracing power flow solutions with changes of a loading parameter. Different from the conventional continuation power flow method, which repeatedly solves static AC power flow equations, the…

Dynamical Systems · Mathematics 2022-03-10 Yang Liu , Kai Sun , Jiaojiao Dong

With the increase of distributed energy resources in the distribution grid, planning to ensure sufficient infrastructure and resources becomes critical. Planning at the distribution level is limited by the complexities of optimizing…

Optimization and Control · Mathematics 2022-12-07 Elizabeth Foster , Amritanshu Pandey , Larry Pileggi

AC optimal power flow (AC OPF) is a fundamental problem in power system operations. Accurately modeling the network physics via the AC power flow equations makes AC OPF a challenging nonconvex problem. To search for global optima, recent…

Optimization and Control · Mathematics 2024-04-09 Mohammad Rasoul Narimani , Daniel K. Molzahn , Katherine R. Davis , Mariesa L. Crow

This paper considers the network flow stabilization problem in power systems and adopts an output regulation viewpoint. Building upon the structure of a heterogeneous port-Hamiltonian model, we integrate network aspects and develop a…

Optimization and Control · Mathematics 2018-04-27 Catalin Arghir , Florian Dörfler

There is an emerging need for efficient solutions to stochastic AC Optimal Power Flow ({AC-}OPF) to ensure optimal and reliable grid operations in the presence of increasing demand and generation uncertainty. This paper presents a highly…

Systems and Control · Electrical Eng. & Systems 2020-06-11 Ilyes Mezghani , Sidhant Misra , Deepjyoti Deka

The power flow equations are at the core of most of the computations for designing and operating electric power systems. The power flow equations are a system of multivariate nonlinear equations which relate the power injections and…

Optimization and Control · Mathematics 2016-11-17 Dhagash Mehta , Daniel K Molzahn , Konstantin Turitsyn

We propose a globally convergent Gauss-Newton algorithm for finding a local optimal solution of a non-convex and possibly non-smooth optimization problem. The algorithm that we present is based on a Gauss-Newton-type iteration for the…

Optimization and Control · Mathematics 2020-12-08 Ilyes Mezghani , Quoc Tran-Dinh , Ion Necoara , Anthony Papavasiliou