NDLI: Hybrid modal-balanced truncation method based on power system transfer function energy concepts

Content Provider	IET Digital Library
Author	Varricchio, Sergio Luis Freitas, Francisco Damasceno Martins, Nelson
Abstract	The combined use of modal and balanced truncations methods is proposed for model order reductions. To efficiently combine these methods, a stopping criterion based on spectral energy concepts is also proposed. This criterion was implemented into the code of the widely known subspace accelerated dominant pole algorithm (SADPA), designed to compute a set of dominant poles and associated residues of transfer functions from large-scale, sparse, linear descriptor systems. The resulting enhanced SADPA code automatically stops once the computed set of dominant poles and associated residues is sufficient to build a modal reduced order model (ROM) whose energy content approaches that of the complete model within a specified tolerance and considering a frequency window of interest. The number of dominant poles in this set is much smaller than the number of poles of the full system model. Hence, their state-space realisation usually has a small enough dimension for the efficient application of the square root balanced truncation method. This new method, named hybrid modal-balanced truncation, produces ROMs whose order are much smaller than that of the modal ROMs and, most importantly, can also be applied to unstable models.
Starting Page	1186
Ending Page	1194
Page Count	9
ISSN	17518687
Volume Number	9
e-ISSN	17518695
Issue Number	Issue 11, Aug (2015)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-gtd/9/11
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-gtd.2014.1116
Journal	IET Generation, Transmission & Distribution
Publisher Date	2015-06-09
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Code Dominant Poles Computation Enhanced SADPA Code Hybrid Modal-balanced Truncation Method Hybrid Power System Large-scale Sparse Linear Descriptor System Modal Analysis Modal Reduced Order Model Power System Power System Transfer Function Energy Concept Reduced Order System ROM Spectral Energy Concept Square Root Balanced Truncation Method Stopping Criterion SubSpace Accelerated Dominant Pole Algorithm Transfer Function
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Energy Engineering and Power Technology Electrical and Electronic Engineering

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