Access the full text.
Sign up today, get DeepDyve free for 14 days.
N. Banagaaya, W. Schilders (2013)
Simulation of electromagnetic descriptor models using projectorsJournal of Mathematics in Industry, 3
V. Mehrmann, T. Stykel
Balanced truncation model reduction for large scale systems in descriptor 391074932form
R. März (1996)
Canonical projectors for linear differential algebraic equationsComputers & Mathematics With Applications, 31
A. Antoulas (2005)
Approximation of Large-Scale Dynamical Systems
Altan Odabasioglu, M. Çelik, L. Pileggi (1998)
PRIMA: passive reduced-order interconnect macromodeling algorithm1997 Proceedings of IEEE International Conference on Computer Aided Design (ICCAD)
Y. Chahlaoui, P. Dooren (2002)
A collection of benchmark examples for model reduction of linear time invariant dynamical systems.
A.C. Antoulas
Approximation of Large‐Scale Dynamical Systems, SIAM Series on Advances in Design and Control
K. Fujimoto, J. Scherpen (2008)
Model Order Reduction: Theory, Research Aspects and Applications
G. Alì, N. Banagaaya, W. Schilders, C. Tischendorf (2014)
Index-aware model order reduction for differential-algebraic equationsMathematical and Computer Modelling of Dynamical Systems, 20
P. Benner, M. Hinze, E.J.W. Ter Maten
Model Reduction for Circuits Simulation
Zheng Zhang, N. Wong (2010)
An Efficient Projector-Based Passivity Test for Descriptor SystemsIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 29
R. Freund (2004)
SPRIM: structure-preserving reduced-order interconnect macromodelingIEEE/ACM International Conference on Computer Aided Design, 2004. ICCAD-2004.
F. Freitas, N. Martins, F. Véliz (2011)
Reduced-order transfer matrices from RLC network descriptor models of electric power grids2012 IEEE Power and Energy Society General Meeting
G. Alì, N. Banagaaya, W. Schilders, C. Tischendorf (2012)
Index-aware model order reduction for index-2 differential-algebraic equations, 1233
E.J. Grimme
Krylov projection methods for mode reduction
G. Alì, N. Banagaaya, W. Schilders, C. Tischendorf (2013)
Index-Aware Model Order Reduction for Linear Index-2 DAEs with Constant CoefficientsSIAM J. Sci. Comput., 35
Zheng Zhang, Chi-Un Lei, N. Wong (2009)
GHM: A generalized Hamiltonian method for passivity test of impedance/admittance descriptor systems2009 IEEE/ACM International Conference on Computer-Aided Design - Digest of Technical Papers
P. Ciarlet, W. Schilders, E. Maten (2011)
Essential numerical methods in electromagnetics : a derivative of handbook of numerical analysis, special volume: numerical methods in electromagnetics, vol XIII
Purpose – Model order reduction (MOR) has been widely used in the electric networks but little has been done to reduce higher index differential algebraic equations (DAEs). The paper aims to discuss these issues. Design/methodology/approach – Most methods first do an index reduction before reducing a higher DAE but this can lead to a loss of physical properties of the system. Findings – The paper presents a MOR method for DAEs called the index‐aware MOR (IMOR) which can reduce a DAE while preserving its physical properties such as the index. The feasibility of this method is tested on real‐life electric networks. Originality/value – MOR has been widely used to reduce large systems from electric networks but little has been done to reduce higher index DAEs. Most methods first do an index reduction before reducing a large system of DAEs but this can lead to a loss of physical properties of the system. The paper presents a MOR method for DAEs called the IMOR which can reduce a DAE while preserving its physical properties such as the index. The feasibility of this method is tested on real‐life electric networks.
COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering – Emerald Publishing
Published: Jul 1, 2014
Keywords: Differential algebraic equations; Electric networks; Projectors
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.