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This paper proposes novel set-theoretic approaches for state estimation in bounded-error discrete-time nonlinear systems, subject to nonlinear observations/constraints. By transforming the polytopic sets that are characterized as zonotope…

Systems and Control · Electrical Eng. & Systems 2021-09-07 Mohammad Khajenejad , Fatima Shoaib , Sze Zheng Yong

The fundamental problem of line spectral estimation (LSE) using the expectation propagation (EP) method is studied. Previous approaches estimate the model order sequentially, limiting their practical utility in scenarios with large…

Information Theory · Computer Science 2025-02-24 Jiang Zhu , Xupeng Lei , Mihai Alin-Badiu , Fengzhong Qu

We propose a technique to assess the vulnerability of the power system state estimator. We aim at identifying measurements that have a high potential of being the target of false data injection attacks. From an adversary's point of view,…

Optimization and Control · Mathematics 2020-07-01 Gonzalo E. Constante-Flores , Antonio J. Conejo , Jiankang Wang

Deep learning based transient stability assessment (TSA) has achieved great success, yet the lack of interpretability hinders its industrial application. Although a great number of studies have tried to explore the interpretability of…

Systems and Control · Electrical Eng. & Systems 2024-04-04 Hanxuan Wang , Na Lu , Zixuan Wang , Jiacheng Liu , Jun Liu

In this paper, we aim to estimate the direction of an underlying signal from its nonlinear observations following the semi-parametric single index model (SIM). Unlike conventional compressed sensing where the signal is assumed to be sparse,…

Machine Learning · Computer Science 2022-06-02 Jiulong Liu , Zhaoqiang Liu

The problem of state estimation for unobservable distribution systems is considered. A deep learning approach to Bayesian state estimation is proposed for real-time applications. The proposed technique consists of distribution learning of…

Machine Learning · Statistics 2019-02-26 Kursat Rasim Mestav , Jaime Luengo-Rozas , Lang Tong

This paper proposes a new approach to perform small-signal stability analysis based on linearization of implicit multilinear models. Multilinear models describe the system dynamics by multilinear functions of state, input, and algebraic…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Christoph Kaufmann , Georg Pangalos , Gerwald Lichtenberg , Oriol Gomis-Bellmunt

In this paper, a novel linear formulation for power system state estimation that simultaneously treats conventional and synchrophasor measurements is proposed. A linear circuit model for conventional measurements is introduced to enable a…

Signal Processing · Electrical Eng. & Systems 2018-12-04 Aleksandar Jovicic , Marko Jereminov , Larry Pileggi , Gabriela Hug

We propose in this paper a data driven state estimation scheme for generating nonlinear reduced models for parametric families of PDEs, directly providing data-to-state maps, represented in terms of Deep Neural Networks. A major constituent…

Numerical Analysis · Mathematics 2022-07-20 Wolfgang Dahmen , Min Wang , Zhu Wang

In this paper, we propose an analytical framework to quantify the amount of data samples needed to obtain accurate state estimation in a power system - a problem known as sample complexity analysis in computer science. Motivated by the…

Optimization and Control · Mathematics 2019-09-20 Joshua Comden , Marcello Colombino , Andrey Bernstein , Zhenhua Liu

In this paper is proposed a novel incremental iterative Gauss-Newton-Markov-Kalman filter method for state estimation of dynamic models given noisy measurements. The mathematical formulation of the proposed filter is based on the…

Optimization and Control · Mathematics 2019-09-17 Bojana Rosic

Data-driven control of nonlinear systems with rigorous guarantees is a challenging problem as it usually calls for nonconvex optimization and requires often knowledge of the true basis functions of the system dynamics. To tackle these…

Optimization and Control · Mathematics 2023-03-27 Tim Martin , Thomas B. Schön , Frank Allgöwer

In the power system, security assessment (SA) plays a pivotal role in determining the safe operation in a normal situation and some contingencies scenarios. Electrical variables as input variables of the model are mainly considered to…

Systems and Control · Electrical Eng. & Systems 2023-01-31 Mojtaba Dezvarei , Kevin Tomsovic , Jinyuan Stella Sun , Seddik M. Djouadi

The growing complexity of the power grid, driven by increasing share of distributed energy resources and by massive deployment of intelligent internet-connected devices, requires new modelling tools for planning and operation. Physics-based…

Machine Learning · Statistics 2018-11-26 Francesco Fusco

A nonparametric Bayesian sparse graph linear dynamical system (SGLDS) is proposed to model sequentially observed multivariate data. SGLDS uses the Bernoulli-Poisson link together with a gamma process to generate an infinite dimensional…

Machine Learning · Statistics 2018-02-22 Rahi Kalantari , Joydeep Ghosh , Mingyuan Zhou

We study tensor network states defined on an underlying graph which is sparsely connected. Generic sparse graphs are expander graphs with a high probability, and one can represent volume law entangled states efficiently with only polynomial…

Quantum Physics · Physics 2022-06-13 Subhayan Sahu , Brian Swingle

The paper presents a Gaussian/kernel process regression method for real-time state estimation and forecasting of phase angle and angular speed in systems with a high penetration of solar generation units, operating under a sparse…

Systems and Control · Electrical Eng. & Systems 2023-09-20 Mohammad Ensaf , Masoud Barati

In this study, a graph-computing based grid splitting detection algorithm is proposed for contingency analysis in a graph-based EMS (Energy Management System). The graph model of a power system is established by storing its bus-branch…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-09 Yongli Zhu , Lingpeng Shi , Renchang Dai , Guangyi Liu

Analysis and synthesis of safety-critical autonomous systems are carried out using models which are often dynamic. Two central features of these dynamic systems are parameters and unmodeled dynamics. This paper addresses the use of a…

Systems and Control · Electrical Eng. & Systems 2022-03-17 Arnab Sarker , Peter Fisher , Joseph E. Gaudio , Anuradha M. Annaswamy

We propose an iterative method for joint state and parameter estimation using measurements on a time interval [0,T] for systems that are backward output stabilizable. Since this time interval is fixed, errors in initial state may have a big…

Optimization and Control · Mathematics 2016-09-23 Atte Aalto
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