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Optimal sensor placement is essential for minimizing costs and ensuring accurate state estimation in power systems. This paper introduces a novel method for optimal sensor placement for dynamic state estimation of power systems modeled by…

Systems and Control · Electrical Eng. & Systems 2025-02-06 Milos Katanic , Yi Guo , John Lygeros , Gabriela Hug

This paper introduces an algorithm able to detect and localize the occurrance of a fault in an Active Distribution Network, using the measurements collected by Phasor Measurement Units (PMUs). First, a basic algorithm that works under the…

Systems and Control · Electrical Eng. & Systems 2022-04-13 Francesco Conte , Fabio D'Agostino , Bruno Gabriele , Giacomo-Piero Schiapparelli , Federico Silvestro

In this paper the empirical observability Gramian calculated around the operating region of a power system is used to quantify the degree of observability of the system states under specific phasor measurement unit (PMU) placement. An…

Optimization and Control · Mathematics 2014-10-08 Junjian Qi , Kai Sun , Wei Kang

Decentralized optimization strategies are helpful for various applications, from networked estimation to distributed machine learning. This paper studies finite-sum minimization problems described over a network of nodes and proposes a…

Systems and Control · Electrical Eng. & Systems 2024-08-06 Mohammadreza Doostmohammadian , Zulfiya R. Gabidullina , Hamid R. Rabiee

Bayesian optimal sensor placement, in its full generality, seeks to maximize the mutual information between uncertain model parameters and the predicted data to be collected from the sensors for the purpose of performing Bayesian inference.…

Applications · Statistics 2019-06-17 Pinaky Bhattacharyya , James L. Beck

The stochastic subgradient method is a widely-used algorithm for solving large-scale optimization problems arising in machine learning. Often these problems are neither smooth nor convex. Recently, Davis et al. [1-2] characterized the…

Optimization and Control · Mathematics 2021-02-25 Shixiang Chen , Alfredo Garcia , Shahin Shahrampour

We consider the problem of estimating the states of weakly coupled linear systems from sampled measurements. We assume that the total capacity available to the sensors to transmit their samples to a network manager in charge of the…

Systems and Control · Computer Science 2016-10-25 Xudong Chen , M. -A. Belabbas , Tamer Basar

The development of smart grids has effectively transformed the traditional grid system. This promises numerous advantages for economic values and autonomous control of energy sources. In smart grids development, there are various objectives…

Systems and Control · Electrical Eng. & Systems 2019-10-22 Kayode Adetunji , Ivan Hofsajer , Ling Cheng

Efficient methods to provide sub-optimal solutions to non-convex optimization problems with knowledge of the solution's sub-optimality would facilitate the widespread application of nonlinear optimal control algorithms. To that end,…

Optimization and Control · Mathematics 2023-04-10 Prithvi Akella , Aaron D. Ames

This paper deals with distributed control of microgrids composed of storages, generators, renewable energy sources, critical and controllable loads. We consider a stochastic formulation of the optimal control problem associated to the…

Optimization and Control · Mathematics 2021-06-16 Andrea Camisa , Giuseppe Notarstefano

Distribution grids constitute complex networks of lines often times reconfigured to minimize losses, balance loads, alleviate faults, or for maintenance purposes. Topology monitoring becomes a critical task for optimal grid scheduling.…

Optimization and Control · Mathematics 2017-07-24 Guido Cavraro , Vassilis Kekatos , Sriharsha Veeramachaneni

Efficient operation of distribution grids in the smart-grid era is hindered by the limited presence of real-time nodal and line meters. In particular, this prevents the easy estimation of grid topology and associated line parameters that…

Systems and Control · Computer Science 2020-03-03 Sejun Park , Deepjyoti Deka , Scott Backhaus , Michael Chertkov

A major transition in the operation of electric power grids is the replacement of synchronous machines by distributed generation connected via power electronic converters. The accompanying "loss of rotational inertia" and the fluctuations…

Optimization and Control · Mathematics 2021-01-15 Bala Kameshwar Poolla , Saverio Bolognani , Florian Dorfler

In this paper, we study the placement of Phasor Measurement Units (PMU) for enhancing hybrid state estimation via the traditional Gauss-Newton method, which uses measurements from both PMU devices and Supervisory Control and Data…

Optimization and Control · Mathematics 2016-11-15 Xiao Li , Anna Scaglione , Tsung-Hui Chang

We present the viewpoint that optimization problems encountered in machine learning can often be interpreted as minimizing a convex functional over a function space, but with a non-convex constraint set introduced by model parameterization.…

Machine Learning · Computer Science 2020-04-21 Yongqiang Cai , Qianxiao Li , Zuowei Shen

This paper addresses the challenges of optimally placing a finite number of sensors to detect Poisson-distributed targets in a bounded domain. We seek to rigorously account for uncertainty in the target arrival model throughout the problem.…

Robotics · Computer Science 2023-07-11 Mingyu Kim , Harun Yetkin , Daniel J. Stilwell , Jorge Jimenez , Saurav Shrestha , Nina Stark

We consider the task of decentralized minimization of the sum of smooth strongly convex functions stored across the nodes of a network. For this problem, lower bounds on the number of gradient computations and the number of communication…

Optimization and Control · Mathematics 2020-11-16 Dmitry Kovalev , Adil Salim , Peter Richtárik

In this paper, we focus on solving a distributed convex optimization problem in a network, where each agent has its own convex cost function and the goal is to minimize the sum of the agents' cost functions while obeying the network…

Optimization and Control · Mathematics 2019-08-02 Shi Pu , Wei Shi , Jinming Xu , Angelia Nedić

This paper studies two fundamental problems in power systems: the economic dispatch problem (EDP) and load shedding. For the EDP, an extension of the problem considering the transmission losses is presented. Because the optimization problem…

Systems and Control · Electrical Eng. & Systems 2021-08-31 Ismi Rosyiana Fitri , Jung-Su Kim

This article studies two problems related to observability and efficient constrained sensor placement in linear time-invariant discrete-time systems with partial state observations. (i) We impose the condition that both the set of outputs…

Optimization and Control · Mathematics 2021-05-21 Priyanka Dey , Niranjan Balachandran , Debasish Chatterjee