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The estimation of signal parameters using quantized data is a recurrent problem in electrical engineering. As an example, this includes the estimation of a noisy constant value and of the parameters of a sinewave, that is, its amplitude,…

Signal Processing · Electrical Eng. & Systems 2018-04-30 Antonio Moschitta , Johan Schoukens , Paolo Carbone

The reduction of overall system inertia in modern power systems due to the increasing deployment of distributed energy resources is generally recognized as a major issue for system stability. Consequently, real-time monitoring of system…

Systems and Control · Electrical Eng. & Systems 2024-05-01 Nicolai Lorenz-Meyer , Hans Würfel , Johannes Schiffer

Load flow analysis is a fundamental technique used by electrical engineers to simulate and evaluate power system behavior under steady-state conditions. It enables efficient operation and control by determining how active and reactive power…

Systems and Control · Electrical Eng. & Systems 2025-07-15 Sampson E. Nwachukwu

With the increased complexity of power systems due to the integration of smart grid technologies and renewable energy resources, more frequent changes have been introduced to system status, and the traditional serial mode of state…

Systems and Control · Computer Science 2018-03-12 Chen Yuan , Yuqi Zhou , Guofang Zhang , Guangyi Liu , Renchang Dai , Xi Chen , Zhiwei Wang

Phase retrieval is in general a non-convex and non-linear task and the corresponding algorithms struggle with the issue of local minima. We consider the case where the measurement samples within typically very small and disconnected subsets…

Signal Processing · Electrical Eng. & Systems 2022-06-28 Jonas Kornprobst , Alexander Paulus , Josef Knapp , Thomas F. Eibert

This paper aims to address two fundamental challenges arising in eigenvector estimation and inference for a low-rank matrix from noisy observations: (1) how to estimate an unknown eigenvector when the eigen-gap (i.e. the spacing between the…

Statistics Theory · Mathematics 2021-09-09 Chen Cheng , Yuting Wei , Yuxin Chen

This letter proposes a predictor-corrector method to strike a balance between simulation accuracy and efficiency by appropriately tuning the numerical integration step length of a power system time-domain simulation. Numerical tests…

Computational Engineering, Finance, and Science · Computer Science 2019-02-07 Yiming Cai , Junbo Zhang , Weizhou Yu

The change in the relative phase between two light fields serves as a basic principle for the measurement of the physical quantity that guides this change. It would therefore be highly advantageous if the relative phase could be amplified…

An important monitoring task for power systems is accurate estimation of the system operation state. Under the nonlinear AC power flow model, the state estimation (SE) problem is inherently nonconvex giving rise to many local optima. In…

Applications · Statistics 2012-06-22 Hao Zhu , Georgios B. Giannakis

This paper considers a power transmission network characterized by interconnected nonlinear swing dynamics on generator buses. At the steady state, frequencies across different buses synchronize to a common nominal value such as $50$Hz or…

Systems and Control · Electrical Eng. & Systems 2023-10-04 Yijun Chen , Ian R. Petersen , Elizabeth L. Ratnam

The large penetration of distributed generations impacts both the secondary low-voltage (LV) and the primary medium-voltage (MV) segments of the distribution network. Optimizing power flow calculations for the integrated MV/LV networks is…

Systems and Control · Electrical Eng. & Systems 2025-11-24 Abduljalil S. Aljadani , Firdous U. Nazir , Bikash C. Pal , Izudin Džafić , Rabih A. Jabr

We study the sensitivity of phase estimation using a generic class of path-symmetric entangled states $|\varphi\rangle|0\rangle+|0\rangle|\varphi\rangle$, where an arbitrary state $|\varphi\rangle$ occupies one of two modes in quantum…

Quantum Physics · Physics 2016-07-27 Su-Yong Lee , Chang-Woo Lee , Jaehak Lee , Hyunchul Nha

Solving the generalized eigenvalue problem is a useful method for finding energy eigenstates of large quantum systems. It uses projection onto a set of basis states which are typically not orthogonal. One needs to invert a matrix whose…

Nuclear Theory · Physics 2023-04-05 Caleb Hicks , Dean Lee

Reliable integration and operation of renewable distributed energy resources requires accurate distribution grid models. However, obtaining precise models is often prohibitively expensive, given their large scale and the ongoing nature of…

Systems and Control · Electrical Eng. & Systems 2024-01-19 Jean-Sébastien Brouillon , Keith Moffat , Florian Dörfler , Giancarlo Ferrari-trecate

In this paper, a self-adaptive contractive (SAC) algorithm is proposed for enhanced dynamic phasor estimation in the diverse operating conditions of modern power systems. At a high-level, the method is composed of three stages: parameter…

Signal Processing · Electrical Eng. & Systems 2019-05-01 Francisco Messina , Pablo Marchi , Leonardo Rey Vega , Cecilia Galarza

Prior research has shown that autocorrelation and variance in voltage measurements tend to increase as power systems approach instability. This paper seeks to identify the conditions under which these statistical indicators provide reliable…

Physics and Society · Physics 2015-04-23 Goodarz Ghanavati , Paul D. H. Hines , Taras I. Lakoba

Gaussian boson sampling is an important protocol for testing the performance of photonic quantum simulators. As such, various noise sources have been investigated that degrade the operation of such devices. In this paper, we examine a…

A Mach-Zender interferometer with a gaussian number-difference squeezed input state can exhibit sub-shot-noise phase resolution over a large phase-interval. We obtain the optimal level of squeezing for a given phase-interval…

Quantum Physics · Physics 2009-11-13 Y. P. Huang , M. G. Moore

Standard quantum phase estimation (QPE) has often been regarded as unsuitable for simultaneous detection of all eigenvalues, because it requires initial states with sufficient overlap with the target eigenstates. In this paper, we show that…

Quantum Physics · Physics 2026-04-02 Yuki Izumi , Hitoshi Kawahara

Quantum phase estimation is the workhorse behind any quantum algorithm and a promising method for determining ground state energies of strongly correlated quantum systems. Low-cost quantum phase estimation techniques make use of circuits…

Quantum Physics · Physics 2019-03-27 T. E. O'Brien , B. Tarasinski , B. M. Terhal