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State estimation in power distribution systems is a key component for increased reliability and optimal system performance. Well understood in transmission systems, state estimation is now an area of active research in distribution…

Signal Processing · Electrical Eng. & Systems 2017-12-06 C. Carquex , C. Rosenberg , K. Bhattacharya

We introduce a new statistical and variational approach to the phase estimation algorithm (PEA). Unlike the traditional and iterative PEAs which return only an eigenphase estimate, the proposed method can determine any unknown…

Quantum Physics · Physics 2022-02-11 Alexandria J. Moore , Yuchen Wang , Zixuan Hu , Sabre Kais , Andrew M. Weiner

In the power system, state estimation (SE) is important monitoring task for the reliable operation of the system. The optimal estimate from the SE is delivered to all EMS application such as fault analysis, automatic generation control.…

Optimization and Control · Mathematics 2018-02-20 Byungkwon Park

The problem of phase synchronization is to estimate the phases (angles) of a complex unit-modulus vector $z$ from their noisy pairwise relative measurements $C = zz^* + \sigma W$, where $W$ is a complex-valued Gaussian random matrix. The…

Optimization and Control · Mathematics 2018-04-10 Yiqiao Zhong , Nicolas Boumal

We investigate how to estimate from atom-position measurements the relative phase of two Bose-Einstein condensates released from a double-well potential. We demonstrate that the phase estimation sensitivity via the fit of the average…

Quantum Gases · Physics 2015-05-19 Jan Chwedenczuk , Francesco Piazza , Augusto Smerzi

AC State Estimation (ACSE) is widely recognized as a practical approach for determining the grid states in steady-state conditions. It serves as a fundamental analysis to ensure grid security and is a reference for market dispatch. As grid…

Systems and Control · Electrical Eng. & Systems 2025-06-11 Peng Sang , Amritanshu Pandey

Fast power system state estimation (SE) solution is of paramount importance for achieving real-time decision making in power grid operations. Semidefinite programming (SDP) reformulation has been shown effective to obtain the global optimum…

Signal Processing · Electrical Eng. & Systems 2019-06-20 Yu Lan , Hao Zhu , Xiaohong Guan

In this paper we present novel methodology for automatic anomaly and switch event filtering to improve load estimation in power grid systems. By leveraging unsupervised methods with supervised optimization, our approach prioritizes…

Machine Learning · Computer Science 2024-10-24 Roel Bouman , Linda Schmeitz , Luco Buise , Jacco Heres , Yuliya Shapovalova , Tom Heskes

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

Phase estimation is known to be a robust method for single-qubit gate calibration in quantum computers, while Bayesian estimation is widely used in devising optimal methods for learning in quantum systems. We present Bayesian phase…

Quantum Physics · Physics 2025-05-06 Brennan de Neeve , Andrey V. Lebedev , Vlad Negnevitsky , Jonathan P. Home

This paper investigates the joint problems of dynamic state estimation of algebraic variables (voltage and phase angle) and generator states (rotor angle and frequency) of nonlinear differential algebraic equation (NDAE) power network…

Systems and Control · Electrical Eng. & Systems 2022-06-16 Muhammad Nadeem , Sebastian A. Nugroho , Ahmad F. Taha

We present an improved phase estimation scheme employing entangled coherent states and demon- strate that the states give the smallest variance in the phase parameter in comparison to NOON, BAT and "optimal" states under perfect and lossy…

Quantum Physics · Physics 2011-11-30 Jaewoo Joo , William J. Munro , Timothy P. Spiller

The presence of interharmonics in power systems can lead to asynchronous sampling, a phenomenon further aggravated by shifts in the fundamental frequency, which significantly degrades the accuracy of power measurements. Under such…

Signal Processing · Electrical Eng. & Systems 2026-01-30 Jian Liu , Wei Zhao , Jianting Zhao , Shisong Li

Distributed renewable generation, elastic loads, and purposeful manipulation of meter readings challenge the monitoring and control of today's power systems (PS). In this context, to maintain a comprehensive view of the system in real time,…

Systems and Control · Electrical Eng. & Systems 2020-05-22 Qiuling Yang , Alireza Sadeghi , Gang Wang , Georgios B. Giannakis , Jian Sun

Scheme for optimal spin state estimation is considered in analogy with phase detection in interferometry. Recently reported coherent measurements yielding the average fidelity (N+1)/(N+2) for N particle system corresponds to the standard…

Quantum Physics · Physics 2009-10-31 Z. Hradil , M. Dusek

We study the phase synchronization problem with measurements $Y=z^*z^{*H}+\sigma W\in\mathbb{C}^{n\times n}$, where $z^*$ is an $n$-dimensional complex unit-modulus vector and $W$ is a complex-valued Gaussian random matrix. It is assumed…

Statistics Theory · Mathematics 2021-01-08 Chao Gao , Anderson Y. Zhang

This paper presents a new approach for identifying the measurement error in the DC power flow state estimation problem. The proposed algorithm exploits the singularity of the impedance matrix and the sparsity of the error vector by posing…

Information Theory · Computer Science 2016-08-29 M. Hadi Amini , Mostafa Rahmani , Kianoosh G. Boroojeni , George Atia , S. S. Iyengar , Orkun Karabasoglu

A novel approach to the problem of partial state estimation of nonlinear systems is proposed. The main idea is to translate the state estimation problem into one of estimation of constant, unknown parameters related to the systems initial…

Systems and Control · Computer Science 2016-04-08 Ortega Romeo , Bobtsov Alexey , Pyrkin Anton , Aranovskiy Stanislav

We consider the problem of estimating the states in an unobservable power system. To this end, we propose novel graph signal processing (GSP) methods. For simplicity, we start with analyzing the DC power flow (DC-PF) model and then extend…

Signal Processing · Electrical Eng. & Systems 2022-01-13 Lital Dabush , Ariel Kroizer , Tirza Routtenberg

This paper introduces a stochastic hybrid system (SHS) framework in state space model to capture sensor, communication, and system contingencies in modern power systems (MPS). Within this new framework, the paper concentrates on the…

Systems and Control · Electrical Eng. & Systems 2024-01-31 Shuo Yuan , Le Yi Wang , George Yin , Masoud H. Nazari
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