[图书][B] Model order reduction for differential-algebraic equations: a survey

P Benner, T Stykel - 2017 - Springer
In this paper, we discuss the model order reduction problem for descriptor systems, that is,
systems with dynamics described by differential-algebraic equations. We focus on linear …

Computing rightmost eigenvalues for small-signal stability assessment of large-scale power systems

J Rommes, N Martins, FD Freitas - IEEE transactions on power …, 2009 - ieeexplore.ieee.org
Knowledge of the rightmost eigenvalues of system matrices is essential in power system
small-signal stability analysis. Accurate and efficient computation of the rightmost …

Stability radii for linear Hamiltonian systems with dissipation under structure-preserving perturbations

C Mehl, V Mehrmann, P Sharma - SIAM Journal on Matrix Analysis and …, 2016 - SIAM
Dissipative Hamiltonian (DH) systems are an important concept in energy based modeling
of dynamical systems. One of the major advantages of the DH formulation is that system …

Identification of the oscillation modes of a large power system using ambient data

RB Leandro, AS e Silva, IC Decker… - Journal of Control …, 2015 - Springer
In this paper, subspace methods are applied to the identification of the dominant
electromechanical oscillation modes of a large power system, using ambient data. The data …

[PDF][PDF] Balancing-related model reduction methods

T Breiten, T Stykel - System-and Data-Driven Methods and …, 2021 - library.oapen.org
This chapter provides an introduction to the concept of system balancing. An overview of the
historical development is given, and application areas for balancing-based model reduction …

Stable reduced order modeling of piezoelectric energy harvesting modules using implicit Schur complement

S Hu, C Yuan, A Castagnotto, B Lohmann… - Microelectronics …, 2018 - Elsevier
In this work, we present an improved technique for reduced order modeling of a micro-
machined piezoelectric energy harvester, presented in Kudryavtsev et al.(2015), and a novel …

Stability radii for real linear Hamiltonian systems with perturbed dissipation

C Mehl, V Mehrmann, P Sharma - BIT Numerical Mathematics, 2017 - Springer
We study linear dissipative Hamiltonian (DH) systems with real constant coefficients that
arise in energy based modeling of dynamical systems. We analyze when such a system is …

[PDF][PDF] Numerical study on continuous-time algebraic Riccati equations arising from large-scale sparse descriptor systems

M Uddin - Master's thesis, Bangladesh University of Engineering …, 2020 - academia.edu
The mathematical models derived from the physical models are the pivot ingredient in
science and engineering, especially, in the control theory. Most of the physical models have …

Partial solution operator discretization-based methods for efficiently computing least-damped eigenvalues of large time delayed power systems

H Ye, X Jia, M Liu, Y Liu, S Zhang - CSEE Journal of Power …, 2023 - ieeexplore.ieee.org
To investigate impact of time delays on the small signal stability of the power system, the
least-damped eigenvalues with the smallest damping ratios have been calculated by eigen …

Time-domain simulation of large electric power systems using domain-decomposition and parallel processing methods

P Aristidou - 2015 - orbi.uliege.be
Dynamic simulation studies are used to analyze the behavior of power systems after a
disturbance has occurred. Over the last decades, they have become indispensable to …