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Accurate state estimation is a crucial requirement for the reliable operation and control of electric power systems. Here, we construct a data-driven, numerical method to infer missing power load values in large-scale power grids. Given…

Systems and Control · Electrical Eng. & Systems 2026-02-23 Philippe Jacquod , Laurent Pagnier , Daniel J. Gauthier

In this paper, nonlinear model reduction for power systems is performed by the balancing of empirical controllability and observability covariances that are calculated around the operating region. Unlike existing model reduction methods,…

Systems and Control · Computer Science 2016-08-30 Junjian Qi , Jianhui Wang , Hui Liu , Aleksandar D. Dimitrovski

A new simulation technique to obtain the synchronized steady-state solutions existing in coupled oscillator systems is presented. The technique departs from a semi-analytical formulation presented in previous works. It extends the model of…

Systems and Control · Electrical Eng. & Systems 2024-04-22 Pedro Umpierrez , Victor Arana , Sergio Sancho

We propose a simple method to estimate the parameters of a continuously measured quantum system, by fitting correlation functions of the measured signal. We demonstrate the approach in simulation, both on toy examples and on a recent…

Quantum Physics · Physics 2024-10-17 Pierre Guilmin , Pierre Rouchon , Antoine Tilloy

The ever-increasing deployment of distributed resources and the opportunities offered to loads for more active roles has changed the previously unidirectional and relatively straight-forward operating profile of distribution systems (DS).…

Systems and Control · Electrical Eng. & Systems 2020-12-07 Panayiotis Moutis , Omid Alizadeh-Mousavi

As the phasor measurement unit (PMU) placement problem involves a cost-benefit trade-off, more PMUs get placed on the higher voltage buses. However, this causes many of the lower voltage levels of the bulk power system to not be observed by…

Signal Processing · Electrical Eng. & Systems 2024-03-22 Antos Cheeramban Varghese , Hritik Shah , Behrouz Azimian , Anamitra Pal , Evangelos Farantatos

In today's cyber-enabled smart grids, high penetration of uncertain renewables, purposeful manipulation of meter readings, and the need for wide-area situational awareness, call for fast, accurate, and robust power system state estimation.…

Systems and Control · Computer Science 2019-02-07 Gang Wang , Georgios B. Giannakis , Jie Chen

The problem of imbalance detection in a three-phase power system using a phasor measurement unit (PMU) is considered. A general model for the zero, positive, and negative sequences from a PMU measurement at off-nominal frequencies is…

Applications · Statistics 2016-11-18 Tirza Routtenberg , Yao Xie , Rebecca M. Willett , Lang Tong

This paper proposes a state estimator for large-scale linear systems described by the interaction of state-coupled subsystems affected by bounded disturbances. We equip each subsystem with a Local State Estimator (LSE) for the…

Systems and Control · Computer Science 2013-09-10 Stefano Riverso , Marcello Farina , Riccardo Scattolini , Giancarlo Ferrari-Trecate

Estimation of quantum states and measurements is crucial for the implementation of quantum information protocols. The standard method for each is quantum tomography. However, quantum tomography suffers from systematic errors caused by…

Quantum Physics · Physics 2018-10-19 Adam C. Keith , Charles H. Baldwin , Scott Glancy , E. Knill

We fit the exponent of the Pareto distribution, that is equivalent or can approximate the continuous power law distribution given a cutoff point, using linear regression (LR). We use LR on the logged variables of the empirical tail (one…

Applications · Statistics 2023-12-21 Samuel Forbes

To estimate accurate voltage phasors from inaccurate voltage magnitude and complex power measurements, the standard approach is to iteratively refine a good initial guess using the Gauss--Newton method. But the nonconvexity of the…

Optimization and Control · Mathematics 2025-04-01 Iven Guzel , Richard Y. Zhang

As phasor measurement units (PMUs) become more widely used in transmission power systems, a fast state estimation (SE) algorithm that can take advantage of their high sample rates is needed. To accomplish this, we present a method that uses…

Machine Learning · Computer Science 2026-03-09 Ognjen Kundacina , Mirsad Cosovic , Dragisa Miskovic , Dejan Vukobratovic

Power systems are globally experiencing an unprecedented growth in size and complexity due to the advent of nonconventional generation and consumption technologies. To navigate computational complexity, power system dynamic models are often…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Yue Huang , Dixant B. Sapkota , Manish K. Singh

Solar PV and battery storage systems have become integral to modern power grids. Therefore, bulk grid models in real-time operation must include their physical behavior accurately for analysis and optimization. AC state estimation is…

Systems and Control · Electrical Eng. & Systems 2024-12-18 Peng Sang , Amritanshu Pandey

We present a method of parameter estimation for large class of nonlinear systems, namely those in which the state consists of output derivatives and the flow is linear in the parameter. The method, which solves for the unknown parameter by…

Systems and Control · Electrical Eng. & Systems 2024-07-16 Simon Kuang , Xinfan Lin

Accurate power system state estimation (PSSE) is an essential prerequisite for reliable operation of power systems. Different from static PSSE, dynamic PSSE can exploit past measurements based on a dynamical state evolution model, offering…

Systems and Control · Computer Science 2016-11-18 Gang Wang , Seung-Jun Kim , Georgios B. Giannakis

This paper introduces a two-level robust approach to estimate the unknown states of a large-scale power system while the measurements and network parameters are subjected to uncertainties. The bounded data uncertainty (BDU) considered in…

Systems and Control · Electrical Eng. & Systems 2022-12-14 Shiva Moshtagh , Mehdi Rahmani

A new framework for nonlinear system identification is presented in terms of optimal fitting of stable nonlinear state space equations to input/output/state data, with a performance objective defined as a measure of robustness of the…

Optimization and Control · Mathematics 2016-11-17 Mark M. Tobenkin , Ian R. Manchester , Jennifer Wang , Alexandre Megretski , Russ Tedrake

This paper addresses the problem of state and parameter estimation for a class of second-order systems with single output. A new filtered transformation is proposed for the system via dynamic vector and matrix. In this method, the dynamics…

Systems and Control · Computer Science 2018-03-14 Mehdi Tavan , Kamel Sabahi , Saeid Hoseinzadeh
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