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The solution of potential-driven steady-state flow in large networks is a task which manifests in various engineering applications, such as transport of natural gas or water through pipeline networks. The resultant system of nonlinear…

Numerical Analysis · Mathematics 2025-01-23 Shriram Srinivasan , Kaarthik Sundar

This paper proposes and compares experimentally several methods to estimate the series resistance and reactance (i.e., the transversal components of the $\pi$-model of a line) of low-voltage lines in distribution grids. It first shows that…

Systems and Control · Electrical Eng. & Systems 2025-05-08 Plouton Grammatikos , Ali Mohamed Ali , Fabrizio Sossan

Stability of linear systems with uncertain bounded time-varying delays is studied under assumption that the nominal delay values are not equal to zero. An input-output approach to stability of such systems is known to be based on the bound…

Optimization and Control · Mathematics 2007-05-23 Eugenii Shustin , Emilia Fridman

This paper presents a regression-based method for estimating voltages and voltage sensitivities for volt-var control on distribution circuits with limited data. The estimator uses power flow results for representative load and PV output…

Systems and Control · Electrical Eng. & Systems 2020-10-26 Catie McEntee , Ning Lu , David Lubkeman

The earlier work of the author on Frequency estimation in three-phase power systems ( that is included as the reference number 1) is expanded to the distributed setting in order present a framework for the implementation of such a frequency…

Applications · Statistics 2016-03-31 Sayed Pouria Talebi

In this paper, we propose a risk-based data-driven approach to optimal power flow (DROPF) with dynamic line rating. The risk terms, including penalties for load shedding, wind generation curtailment and line overload, are embedded into the…

Optimization and Control · Mathematics 2017-12-22 Cheng Wang , Rui Gao , Feng Qiu , Jianhui Wang , Linwei Xin

This paper focuses on an AC optimal power flow (OPF) problem for distribution feeders equipped with controllable distributed energy resources (DERs). We consider a solution method that is based on a continuous approximation of the projected…

Optimization and Control · Mathematics 2026-02-26 Damola Ajeyemi , Yiting Chen , Antonin Colot , Jorge Cortes , Emiliano Dall'Anese

This paper studies the problem of frequency regulation in power grids under unknown and possible time-varying load changes, while minimizing the generation costs. We formulate this problem as an output agreement problem for distribution…

Systems and Control · Computer Science 2015-10-01 Sebastian Trip , Mathias Bürger , Claudio De Persis

A distribution system can flexibly adjust its substation-level power output by aggregating its local distributed energy resources (DERs). Due to DER and network constraints, characterizing the exact feasible power output region is…

Optimization and Control · Mathematics 2023-10-10 Qi Li , Jianzhe Liu , Bai Cui , Wenzhan Song , Jin Ye

The increasing penetration of Distributed Energy Resources (DER) in the distribution network creates new challenges in the operation of both the transmission and the distribution network. However, the controllability of the converter…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Giorgos Prionistis , Costas Vournas

Linearized models of power systems are often desirable to formulate tractable control and optimization problems that still reflect real-world physics adequately under various operating conditions. In this paper, we propose an approach that…

Optimization and Control · Mathematics 2018-05-28 Marc Hohmann , Joseph Warrington , John Lygeros

This paper considers the problem of controlling inverter-interfaced distributed energy resources (DERs) in a distribution grid to solve an AC optimal power flow (OPF) problem in real time. The AC OPF includes voltage constraints, and seeks…

Systems and Control · Electrical Eng. & Systems 2024-09-16 Antonin Colot , Yiting Chen , Bertrand Cornelusse , Jorge Cortes , Emiliano Dall'Anese

Spreading information through a network of devices is a core activity for most distributed systems. As such, self-stabilizing algorithms implementing information spreading are one of the key building blocks enabling aggregate computing to…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-23 Yuanqiu Mo , Soura Dasgupta , Jacob Beal

State estimation plays a key role in the transition from the passive to the active operation of distribution systems, as it allows to monitor these networks and, successively, to perform control actions. However, designing state estimators…

Systems and Control · Electrical Eng. & Systems 2020-11-25 Marta Vanin , Tom Van Acker , Reinhilde D'hulst , Dirk Van Hertem

We propose a hierarchical distributed algorithm to solve optimal power flow (OPF) problems that aim at dispatching controllable distributed energy resources (DERs) for voltage regulation at minimum cost. The proposed algorithm features…

Optimization and Control · Mathematics 2020-02-10 Xinyang Zhou , Zhiyuan Liu , Changhong Zhao , Lijun Chen

This paper presents a cold-start linear branch flow model named modified DistFlow. In modified DistFlow, the active and reactive power are replaced by their ratios to voltage magnitude as state variables, so that errors introduced by…

Systems and Control · Electrical Eng. & Systems 2020-11-30 Tianshu Yang , Ye Guo , Lirong Deng , Hongbin Sun , Wenchuan Wu

Real-time control of distribution networks requires accurate information about the system state. In practice, however, such information is difficult to obtain because real-time measurements are available only at a limited number of…

Systems and Control · Electrical Eng. & Systems 2026-04-10 Oleksii Molodchyk , Omid Mokhtari , Samuel Chevalier , Mads R. Almassalkhi , Timm Faulwasser

We consider the problem of voltage stability and reactive power balancing in islanded small-scale electrical networks outfitted with DC/AC inverters ("microgrids"). A droop-like voltage feedback controller is proposed which is quadratic in…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco , Florian Dorfler , Francesco Bullo

In this paper, a hybrid measurement and model-based method is proposed which can estimate the dynamic state Jacobian matrix in near real-time. The proposed method is computationally efficient and robust to the variation of network topology.…

Systems and Control · Computer Science 2015-10-27 Xiaozhe Wang , Konstantin Turitsyn

We look into the fluctuations caused by disturbances in power systems. In the linearized system of the power systems, the disturbance is modeled by a Brownian motion process, and the fluctuations are described by the covariance matrix of…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Xian Wu , Kaihua Xi , Aijie Cheng , Hai Xiang Lin , Jan H van Schuppen , Chenghui Zhang