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This paper proposes a structure exploiting algorithm for solving non-convex power system state estimation problems in distributed fashion. Because the power flow equations in large electrical grid networks are non-convex equality…

Systems and Control · Computer Science 2019-03-22 Xu Du , Alexander Engelmann , Yuning Jiang , Timm Faulwasser , Boris Houska

Realisation of experiments even on small and medium-scale quantum computers requires an optimisation of several parameters to achieve high-fidelity operations. As the size of the quantum register increases, the characterisation of quantum…

Quantum Physics · Physics 2020-08-11 F. Martínez-García , D. Vodola , M. Müller

Invisible units mainly refer to small-scale units that are not monitored by, and thus are not visible to utilities. Integration of these invisible units into power systems does significantly affect the way in which a distribution grid is…

Applications · Statistics 2023-12-12 Xing He , Lei Chu , Robert C. Qiu , Qian Ai , Zenan Ling , Jian Zhang

This paper proposes a novel method for testing observability in Gaussian models using discrete density approximations (deterministic samples) of (multivariate) Gaussians. Our notion of observability is defined by the existence of the…

Systems and Control · Electrical Eng. & Systems 2022-08-19 Ariane Hanebeck , Claudia Czado

Knowledge of power grid's topology during cascading failure is an essential element of centralized blackout prevention control, given that multiple islands are typically formed, as a cascade progresses. Moreover, academic research on…

Systems and Control · Electrical Eng. & Systems 2021-04-15 Sai Gopal Vennelaganti , Nilanjan Ray Chaudhuri , Ting He , Thomas La Porta

We provide a new algorithm for solving Risk Sensitive Partially Observable Markov Decisions Processes, when the risk is modeled by a utility function, and both the state space and the space of observations is finite. This algorithm is based…

Optimization and Control · Mathematics 2022-07-19 Arsham Afsardeir , Andreas Kapetanis , Vaios Laschos , Klaus Obermayer

State estimation is highly critical for accurately observing the dynamic behavior of the power grids and minimizing risks from cyber threats. However, existing state estimation methods encounter challenges in accurately capturing power…

Systems and Control · Electrical Eng. & Systems 2024-01-01 Quang-Ha Ngo , Bang L. H. Nguyen , Tuyen V. Vu , Jianhua Zhang , Tuan Ngo

We present the first solution to the problem of estimation of the state of multimachine power systems with lossy transmission lines. We consider the classical three-dimensional \fluxdecay" model of the power system and assume that the…

Systems and Control · Electrical Eng. & Systems 2020-05-05 Alexey Bobtsov , Romeo Ortega , Nikolay Nikolaev , Johannes Schiffer

This paper investigates the state estimation problem for a class of complex networks, in which the dynamics of each node is subject to Gaussian noise, system uncertainties and nonlinearities. Based on a regularized least-squares approach,…

Systems and Control · Electrical Eng. & Systems 2021-03-16 Peihu Duan , Qishao Wang , Zhisheng Duan , Guanrong Chen

The canonical problem of solving a system of linear equations arises in numerous contexts in information theory, communication theory, and related fields. In this contribution, we develop a solution based upon Gaussian belief propagation…

Information Theory · Computer Science 2009-07-12 Danny Bickson

With the increasing complexity of power systems,accurately identifying critical states (the states corresponding to minimal cut sets) and assessing system reliability have become crucial tasks. In this paper, a mathematical lattice…

Systems and Control · Electrical Eng. & Systems 2025-10-13 Han Hu , Wenjie Wan , Feiyu Chen , Xiaoyu Liu , Bo Yu , Kequan Zhao

We propose an approach to do learning in Gaussian factor graphs. We treat all relevant quantities (inputs, outputs, parameters, latents) as random variables in a graphical model, and view both training and prediction as inference problems…

Machine Learning · Computer Science 2024-07-18 Seth Nabarro , Mark van der Wilk , Andrew J Davison

When multiple outages occur in rapid succession, it is important to know quickly if the power transfer capability of different interconnections (or cut-sets) of the power network are limited. The algorithm developed in this paper identifies…

Systems and Control · Electrical Eng. & Systems 2020-08-10 Reetam Sen Biswas , Anamitra Pal , Trevor Werho , Vijay Vittal

The paper discusses fundamental detectability properties associated with the problem of distributed state estimation using networked observers. The main result of the paper establishes connections between detectability of the plant through…

Systems and Control · Computer Science 2014-01-28 V. Ugrinovskii

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

Distribution system state estimation (DSSE) is an essential tool for operation of distribution networks, the results of which enables the operator to have a thorough observation of the system. Thus, most distribution management systems…

Systems and Control · Computer Science 2015-04-15 Vahid Rasouli Disfani , Mohammad Chehreghani Bozchalui , Ratnesh Sharma

Many complex systems in biology, physics, and engineering include a large number of state-variables, and measuring the full state of the system is often impossible. Typically, a set of sensors is used to measure part of the state-variables.…

Optimization and Control · Mathematics 2020-06-09 Eyal Weiss , Michael Margaliot

State estimation allows to monitor power networks, exploiting field measurements to derive the most likely grid state. In the literature, measurement errors are usually assumed to follow zero-mean Gaussian distributions; however, it has…

Systems and Control · Electrical Eng. & Systems 2023-03-07 Marta Vanin , Tom Van Acker , Reinhilde D'hulst , Dirk Van Hertem

With a sustainable increase in the scale of power system, the number of states in the state space grows exponentially, and the reliability assessment of the power system faces enormous challenges. Traditional state-by-state assessment…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Wenjie Wan , Han Hu , Feiyu Chen , Xiaoyu Liu , Kequan Zhao

Nonlinear causal discovery from observational data imposes strict identifiability assumptions on the formulation of structural equations utilized in the data generating process. The evaluation of structure learning methods under assumption…

Machine Learning · Statistics 2024-12-17 Georg Velev , Stefan Lessmann
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