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Estimating the probability of failures or accidents with aerospace systems is often necessary when new concepts or designs are introduced, as it is being done for Autonomous Aircraft. If the design is safe, as it is supposed to be, accident…

Applications · Statistics 2018-08-10 Ítalo Romani de Oliveira , Jeffery Musiak

We present a systematic method for designing distributed generation and demand control schemes for secondary frequency regulation in power networks such that stability and an economically optimal power allocation can be guaranteed. A…

Optimization and Control · Mathematics 2017-03-03 Andreas Kasis , Nima Monshizadeh , Eoin Devane , Ioannis Lestas

We present a method to design distributed generation and demand control schemes for primary frequency regulation in power networks that guarantee asymptotic stability and ensure fairness of allocation. We impose a passivity condition on net…

Optimization and Control · Mathematics 2016-02-10 Andreas Kasis , Eoin Devane , Ioannis Lestas

The growing integration of distributed energy resources (DERs) in distribution grids raises various reliability issues due to DER's uncertain and complex behaviors. With a large-scale DER penetration in distribution grids, traditional…

Signal Processing · Electrical Eng. & Systems 2021-04-06 Yizheng Liao , Yang Weng , Chin-woo Tan , Ram Rajagopal

Online transmission line outage detection over the entire network enables timely corrective action to be taken, which prevents a local event from cascading into a large scale blackout. Line outage detection aims to detect an outage as soon…

Systems and Control · Electrical Eng. & Systems 2020-07-07 Xiaozhou Yang , Nan Chen , Chao Zhai

In this paper, the multi-type branching process is applied to describe the statistics and interdependencies of line outages, the load shed, and isolated buses. The offspring mean matrix of the multi-type branching process is estimated by…

Physics and Society · Physics 2016-08-03 Junjian Qi , Wenyun Ju , Kai Sun

Unbalanced power, due to high penetration of single-phase PV rooftops into a four-wire multi-grounded LV distribution system, can result in significant rise in the neutral current and neutral voltage. This preprint proposes a distributed…

Systems and Control · Electrical Eng. & Systems 2020-11-13 Watcharakorn Pinthurat , Branislav Hredzak

Distribution-dependent stochastic dynamical systems arise widely in engineering and science. We consider a class of such systems which model the limit behaviors of interacting particles moving in a vector field with random fluctuations. We…

Numerical Analysis · Mathematics 2023-09-15 Wei Wei , Jianyu Hu

This work presents a distributed method for control centers to monitor the operating condition of a power network, i.e., to estimate the network state, and to ultimately determine the occurrence of threatening situations. State estimation…

Optimization and Control · Mathematics 2011-07-13 Fabio Pasqualetti , Ruggero Carli , Francesco Bullo

This paper presents a new theory, known as robust dynamic pro- gramming, for a class of continuous-time dynamical systems. Different from traditional dynamic programming (DP) methods, this new theory serves as a fundamental tool to analyze…

Optimization and Control · Mathematics 2018-09-18 Tao Bian , Zhong-Ping Jiang

Dispatching mobile resources such as repair crews and mobile emergency generators is essential for the rapid restoration of distribution systems after extreme events. However, the restoration process is affected by various uncertain factors…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Mingxuan Li , Wei Wei , Yin Xu , Ying Wang , Shanshan Shi

The increased penetration of volatile renewable energy into distribution networks necessities more efficient distributed voltage control. In this paper, we design distributed feedback control algorithms where each bus can inject \emph{both…

Systems and Control · Computer Science 2020-01-29 Sindri Magnússon , Guannan Qu , Na Li

Distribution grids refer to the part of the power grid that delivers electricity from substations to the loads. Structurally a distribution grid is operated in one of several radial/tree-like topologies that are derived from an original…

Optimization and Control · Mathematics 2016-03-08 Deepjyoti Deka , Scott Backhaus , Michael Chertkov

In this paper, we study networks of positive linear systems subject to time-invariant and random uncertainties. We present linear matrix inequalities for checking the stability of the whole network around the origin with prescribed…

Optimization and Control · Mathematics 2016-11-09 Masaki Ogura , Victor M. Preciado

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 presents a robust version of the stratified sampling method when multiple uncertain input models are considered for stochastic simulation. Various variance reduction techniques have demonstrated their superior performance in…

Optimization and Control · Mathematics 2023-06-16 Seung Min Baik , Eunshin Byon , Young Myoung Ko

Modern society is critically dependent on the services provided by engineered infrastructure networks. When natural disasters (e.g. Hurricane Sandy) occur, the ability of these networks to provide service is often degraded because of…

Optimization and Control · Mathematics 2014-09-17 Emre Yamangil , Russell Bent , Scott Backhaus

This paper addresses the challenges of charging infrastructure design (CID) for electrified public transport networks using Battery Electric Buses (BEBs) under conditions of sparse energy consumption data. Accurate energy consumption…

Optimization and Control · Mathematics 2025-01-13 Sara Momen , Yousef Maknoon , Bart van Arem , Shadi Sharif Azadeh

Load shedding has been one of the most widely used and effective emergency control approaches against voltage instability. With increased uncertainties and rapidly changing operational conditions in power systems, existing methods have…

Systems and Control · Electrical Eng. & Systems 2020-12-08 Renke Huang , Yujiao Chen , Tianzhixi Yin , Xinya Li , Ang Li , Jie Tan , Wenhao Yu , Yuan Liu , Qiuhua Huang

We introduce the dynamics mode decomposition for monitoring wide-area power grid networks from sparse measurement data. The mathematical framework fuses data from multiple sensors based on multivariate statistics, providing accurate full…

Pattern Formation and Solitons · Physics 2019-06-11 J. Jorge Ramos , J. Nathan Kutz