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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

Accurate inertia estimates and forecasts are crucial to support the system operation in future low-inertia power systems. A large literature on inertia estimation methods is available. This paper aims to provide an overview and…

Systems and Control · Electrical Eng. & Systems 2020-08-31 Evelyn Heylen , Goran Strbac , Fei Teng

Dynamical modelling lies at the heart of our understanding of physical systems. Its role in science is deeper than mere operational forecasting, in that it allows us to evaluate the adequacy of the mathematical structure of our models.…

Data Analysis, Statistics and Probability · Physics 2015-06-05 Hailiang Du , Leonard A. Smith

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

Power systems are highly complex, large-scale engineering systems subject to many uncertainties, which makes accurate mathematical modeling challenging. This paper proposes a novel, centralized dynamic state estimator for power systems that…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Milos Katanic , John Lygeros , Gabriela Hug

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

In this paper, low-order models of the frequency and voltage response of mixed-generation, low-inertia systems are presented. These models are unique in their ability to efficiently and accurately model frequency and voltage dynamics…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Marena Trujillo , Amir Sajadi , Jonathan Shaw , Bri-Mathias Hodge

Contemporary theories and models for electric power system stability are predicated on a widely held assumption that the mechanical inertia of the rotating mass of synchronous generators provides the sole contribution to stable and…

Systems and Control · Electrical Eng. & Systems 2024-01-31 Amirhossein Sajadi , Bri-Mathias Hodge

In this paper, least square estimation (LSE)-based dynamic generator model parameter identification is investigated. Electromechanical dynamics related parameters such as inertia constant and primary frequency control droop for a…

Systems and Control · Computer Science 2015-03-19 Bander Mogharbel , Lingling Fan , Zhixin Miao

Dynamic state and parameter estimation methods for dynamic security assessment in power systems are becoming increasingly important for system operators. Usually, the data used for this type of applications stems from phasor measurement…

Systems and Control · Electrical Eng. & Systems 2022-09-01 Nicolai Lorenz-Meyer , René Suchantke , Johannes Schiffer

A variety of algorithms have been proposed to address the power system state estimation problem in the presence of uncertainties in the data. However, less emphasis has been given to handling perturbations in the model. In the context of…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Ayan Das , Anushka Sharma , Anamitra Pal

The increased integration of intermittent and decentralised forms of power production has eroded the stability margins of power grids and made it more challenging to ensure reliable and secure power transmission. Reliable grid operation…

Optimization and Control · Mathematics 2023-01-27 John M. Moloney , Sam J. Williamson , Cameron L. Hall

The estimation of parameters in a linear model is considered under the hypothesis that the noise, with finite second order statistics, can be represented in a given deterministic basis by random coefficients. An extended underdetermined…

Statistics Theory · Mathematics 2014-05-06 Piero Barone , Isabella Lari

If a dynamic system has active constraints on the state vector and they are known, then taking them into account during modeling is often advantageous. Unfortunately, in the constrained discrete-time state-space estimation, the state…

Systems and Control · Computer Science 2019-04-11 Rodrigo A. Ricco , Bruno O. S. Teixeira

An increasing penetration of renewable generation has led to reduced levels of rotational inertia and damping in the system. The consequences are higher vulnerability to disturbances and deterioration of the dynamic response of the system.…

Optimization and Control · Mathematics 2020-05-25 Ashwin Venkatraman , Uros Markovic , Dmitry Shchetinin , Evangelos Vrettos , Petros Aristidou , Gabriela Hug

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

Given a set of response observations for a parametrized dynamical system, we seek a parametrized dynamical model that will yield uniformly small response error over a range of parameter values yet has low order. Frequently, access to…

Numerical Analysis · Mathematics 2018-08-20 Alexander Grimm , Christopher Beattie , Zlatko Drmač , Serkan Gugercin

Traditional synchronous generators with rotational inertia are being replaced by low-inertia renewable energy resources (RESs) in many power grids and operational scenarios. Due to emerging market mechanisms, inherent variability of RESs,…

Optimization and Control · Mathematics 2019-03-05 Yi Guo , Tyler H. Summers

Base inertial parameters constitute a minimal inertial parametrization of mechanical systems that is of interest, for example, in parameter estimation and model reduction. Numerical and symbolic methods are available to determine their…

Robotics · Computer Science 2017-06-29 Xabier Iriarte , Javier Ros , Aitor Plaza , Jokin Aginaga , Vicente Mata

A parameter estimation method is devised for a slow-fast stochastic dynamical system, where often only the slow component is observable. By using the observations only on the slow component, the system parameters are estimated by working on…

Dynamical Systems · Mathematics 2013-03-20 Jian Ren , Jinqiao Duan
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