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Due to the evolving nature of power grids and model uncertainty, the online stability assessment of electrical power systems is always a challenging problem. This paper aims to provide a theoretical framework for estimating the region of…

系统与控制 · 电气工程与系统科学 2019-11-26 Chao Zhai

Neural networks are traditionally trained under the assumption that data come from a stationary distribution. However, settings which violate this assumption are becoming more popular; examples include supervised learning under…

Probabilistic load flow (PLF) calculation, as a fundamental tool to analyze transmission system behavior, has been studied for decades. Despite a variety of available methods, existing PLF approaches rarely take system control into account.…

系统与控制 · 电气工程与系统科学 2022-03-02 Mengshuo Jia , Qianni Cao , Chen Shen , Gabriela Hug

In this work, we propose a non-parametric technique for online modeling of systems with unknown nonlinear Lipschitz dynamics. The key idea is to successively utilize measurements to approximate the graph of the state-update function using…

系统与控制 · 电气工程与系统科学 2019-10-10 Siddharth H. Nair , Monimoy Bujarbaruah , Francesco Borrelli

As one of the most commonly seen data challenges, missing data, in particular, multiple, non-monotone missing patterns, complicates estimation and inference due to the fact that missingness mechanisms are often not missing at random, and…

统计方法学 · 统计学 2025-04-21 Jianing Dong , Raymond K. W. Wong , Kwun Chuen Gary Chan

In this paper, we study optimization problems where the cost function contains time-varying parameters that are unmeasurable and evolve according to linear, yet unknown, dynamics. We propose a solution that leverages control theoretic tools…

最优化与控制 · 数学 2025-03-20 Shivanshu Tripathi , Abed AlRahman Al Makdah , Fabio Pasqualetti

Identifying the location of a disturbance and its magnitude is an important component for stable operation of power systems. We study the problem of localizing and estimating a disturbance in the interconnected power system. We take a…

机器学习 · 计算机科学 2018-06-06 Hyang-Won Lee , Jianan Zhang , Eytan Modiano

The increasing deployment of distribution-level phasor measurement units (PMUs) calls for dynamic distribution state estimation (DDSE) approaches that tap into high-rate measurements to maintain a comprehensive view of the…

最优化与控制 · 数学 2020-01-09 Jianhan Song , Emiliano Dall'Anese , Andrea Simonetto , Hao Zhu

The collective motion of self-driven agents is a phenomenon of great interest in interacting particle systems. In this paper, we develop and analyze a model of agent motion in one dimension with periodic boundaries using a stochastic…

动力系统 · 数学 2023-03-28 Matthias Ehrhardt , Thomas Kruse , Antoine Tordeux

We propose an efficient sensitivity analysis method for a wide class of colored noise-driven interacting particle systems (IPS). Our method is based on unperturbed simulations and significantly extends the Malliavin weight sampling method…

概率论 · 数学 2024-06-18 Josselin Garnier , Harry L. F. Ip , Laurent Mertz

We introduce a simple method to estimate the system parameters in continuous dynamical systems from the time series. In this method, we construct a modified system by introducing some constants (controlling constants) into the given…

混沌动力学 · 物理学 2009-11-10 P. Palaniyandi , M. Lakshmanan

We report a new approach to estimating power system inertia directly from time-series data on power system dynamics. The approach is based on the so-called Koopman Mode Decomposition (KMD) of such dynamic data, which is a nonlinear…

信号处理 · 电气工程与系统科学 2020-10-01 Yoshihiko Susuki , Ryo Hamasaki , Atsushi Ishigame

The development of efficient and robust dynamic models is fundamental in the field of systems and control engineering. In this paper, a new formulation for the dynamic model of nonlinear mechanical systems, that can be applied to different…

系统与控制 · 电气工程与系统科学 2026-02-09 Davide Tebaldi , Roberto Zanasi

We propose novel parameter estimation algorithms for a class of dynamical systems with nonlinear parametrization. The class is initially restricted to smooth monotonic functions with respect to a linear functional of the parameters. We show…

动力系统 · 数学 2007-05-23 Ivan Tyukin , Danil Prokhorov , Cees van Leeuwen

Continuous-time random disturbances from the renewable generation pose a significant impact on power system dynamic behavior. In evaluating this impact, the disturbances must be considered as continuous-time random processes instead of…

最优化与控制 · 数学 2020-07-09 Yiwei Qiu , Jin Lin , Xiaoshuang Chen , Feng Liu , Yonghua Song

In this paper, we consider queueing systems where the dynamics are non-stationary and state-dependent. For performance analysis of these systems, fluid and diffusion models have been typically used. Although they are proven to be…

概率论 · 数学 2016-09-08 Young Myoung Ko , Natarajan Gautam

Locational marginal emissions rates (LMEs) estimate the rate of change in emissions due to a small change in demand in a transmission network, and are an important metric for assessing the impact of various energy policies or interventions.…

系统与控制 · 电气工程与系统科学 2023-03-10 Lucas Fuentes Valenzuela , Anthony Degleris , Abbas El Gamal , Marco Pavone , Ram Rajagopal

The utilization of online stochastic algorithms is popular in large-scale learning settings due to their ability to compute updates on the fly, without the need to store and process data in large batches. When a constant step-size is used,…

最优化与控制 · 数学 2023-07-19 Stefan Vlaski , Elsa Rizk , Ali H. Sayed

Online nonparametric estimators are gaining popularity due to their efficient computation and competitive generalization abilities. An important example includes variants of stochastic gradient descent. These algorithms often take one…

统计理论 · 数学 2025-07-08 Tianyu Zhang , Jing Lei

This work presents a technique to estimate on-line the inertia of a power system based on ambient measurements. The proposed technique utilizes the covariance matrix of these measurements and solves an optimization problem that fits such…

系统与控制 · 电气工程与系统科学 2023-01-18 Federico Bizzarri , Davide del Giudice , Samuele Grillo , Daniele Linaro , Angelo Brambilla , Federico Milano