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We address the problem of estimating the uncertainty in the solution of power grid inverse problems within the framework of Bayesian inference. We investigate two approaches, an adjoint-based method and a stochastic spectral method. These…

Optimization and Control · Mathematics 2016-02-15 Noemi Petra , Cosmin G. Petra , Zheng Zhang , Emil M. Constantinescu , Mihai Anitescu

Robust control and maintenance of the grid relies on accurate data. Both PMUs and state estimators are prone to false data injection attacks. Thus, it is crucial to have a mechanism for fast and accurate detection of an agent maliciously…

Machine Learning · Computer Science 2014-03-10 Hanie Sedghi , Edmond Jonckheere

Conventionally, the dynamic state estimation of variables in power networks is performed based on the forecasting-aided model of bus voltages. This approach is effective in the stiff grids at the transmission level, where the bus voltages…

Systems and Control · Electrical Eng. & Systems 2021-10-26 Bang L. H. Nguyen , Tuyen V. Vu , Thomas H. Ortmeyer , Tuan Ngo

As bulk synchronous generators in the power grid are replaced by distributed generation interfaced through power electronics, inertia is removed from the system, prompting concerns over grid stability. Different metrics are available for…

Optimization and Control · Mathematics 2017-03-09 Mohammad Pirani , John W. Simpson-Porco , Baris Fidan

In this paper, a nonlinear system aiming at reducing the signal transmission rate in a networked control system is constructed by adding nonlinear constraints to a linear feedback control system. Its stability is investigated in detail. It…

Chaotic Dynamics · Physics 2015-06-19 Guofeng Zhang , Tongwen Chen

Power system robustness against high impact low probability events is becoming a major concern. To depict distinct phases of a system response during these disturbances, an irregular polygon model is derived from the conventional trapezoid…

Systems and Control · Electrical Eng. & Systems 2022-07-11 Giritharan Vijay Iswaran , Ramin Vakili , Mojdeh Khorsand

This paper deals with data-driven stability analysis and feedback stabillization of linear input-output systems in autoregressive (AR) form. We assume that noisy input-output data on a finite time-interval have been obtained from some…

Optimization and Control · Mathematics 2022-06-20 Henk J. van Waarde , Jaap Eising , M. Kanat Camlibel , Harry L. Trentelman

Power electronic devices such as HVDC and FACTS can be used to improve the damping of poorly damped inter-area modes in large power systems. This involves the use of wide-area feedback signals, which are transmitted via communication…

Systems and Control · Electrical Eng. & Systems 2022-11-17 K. K. Gajjar , Kaustav Dey , A. M. Kulkarni

As power systems become more and more interconnected, the inter-area oscillations has become a serious factor limiting large power transfer among different areas. Underdamped (Undamped) inter-area oscillations may cause system breakup and…

Systems and Control · Computer Science 2017-01-10 Jianming Lian , Shaobu Wang , Ruisheng Diao , Zhenyu Huang

The increasing penetration of renewable energy leads to a continuous reduction in system inertia, for which conventional synchronization criteria based solely on frequency consistency can no longer accurately capture the coupled dynamics of…

Systems and Control · Electrical Eng. & Systems 2025-11-24 Yusen Wei , Lan Tang , Peidong Li

Power system state estimation plays a fundamental and critical role in the energy management system (EMS). To achieve a high performance and accurate system states estimation, a graph computing based distributed state estimation approach is…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-25 Yi Lu , Chen Yuan , Xiang Zhang , Hua Huang , Guangyi Liu , Renchang Dai , Zhiwei Wang

The ongoing energy transition challenges the stability of the electrical power system. Stable operation of the electrical power grid requires both the voltage (amplitude) and the frequency to stay within operational bounds. While much…

Systems and Control · Electrical Eng. & Systems 2021-12-07 Eder Batista Tchawou Tchuisseu , Eric-Donald Ndogmo , Pavel Procházka , Paul Woafo , Pere Colet , Benjamin Schäfer

The aggressive integration of distributed renewable sources is changing the dynamics of the electric power grid in an unexpected manner. As a result, maintaining conventional performance specifications, such as transient stability, may not…

Optimization and Control · Mathematics 2018-06-14 Liviu Aolaritei , Dongchan Lee , Thanh Long Vu , Konstantin Turitsyn

Power flow analysis plays a fundamental and critical role in the energy management system (EMS). It is required to well accommodate large and complex power system. To achieve a high performance and accurate power flow analysis, a graph…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-20 Chen Yuan , Yi Lu , Wei Feng , Guangyi Liu , Renchang Dai , Yachen Tang , Zhiwei Wang

This paper presents a method that learns a regionally stable recurrent neural network model from a set of input-output data generated by an unknown dynamical system. Relying on generalized sector conditions on the deadzone activation…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Daniel Frank , Fahim Shakib , Steffen Staab

Learning-based control methods typically assume stationary system dynamics, an assumption often violated in real-world systems due to drift, wear, or changing operating conditions. We study reinforcement learning for control under…

Machine Learning · Computer Science 2026-04-03 Klemens Iten , Bruce Lee , Chenhao Li , Lenart Treven , Andreas Krause , Bhavya Sukhija

This paper proposes a joint input and state dynamic estimation scheme for power networks in microgrids and active distribution systems with unknown inputs. The conventional dynamic state estimation of power networks in the transmission…

Systems and Control · Electrical Eng. & Systems 2021-08-04 Bang L. H. Nguyen , Tuyen V. Vu , Joseph M. Guerrero , Mischael Steurer , Karl Schoder , Tuan Ngo

We introduce and analyze a model for decentral- ized control. The model is broad enough to include problems such as formation control, decentralization of the power grid and flocking. The objective of this paper is twofold. First, we show…

Optimization and Control · Mathematics 2011-10-07 M. -A. Belabbas

With the continued deployment of synchronized Phasor Measurement Units (PMUs), high sample rate data are rapidly increasing the real time observability of power systems. Prior research has shown that the statistics of these data can provide…

Systems and Control · Computer Science 2018-05-11 Samuel Chevalier , Paul D. H. Hines

Online feedback optimization is a controller design paradigm for optimizing the steady-state behavior of a dynamical system. It employs an optimization algorithm as a dynamic feedback controller and utilizes real-time measurements to bypass…

Optimization and Control · Mathematics 2024-04-01 Wenbin Wang , Zhiyu He , Giuseppe Belgioioso , Saverio Bolognani , Florian Dörfler