RT Journal Article
A1 Sergio Luis Varricchio
AD Electrical Energy Research Center, CEPEL, Rio de Janeiro, RJ, CEP:20001-970, Brazil
A1 Francisco Damasceno Freitas
AD Department of Electrical Engineering, University of Brasilia, Brasilia, DF, CEP:70910-900, Brazil
A1 Nelson Martins
AD Electrical Energy Research Center, CEPEL, Rio de Janeiro, RJ, CEP:20001-970, Brazil

PB iet
T1 Hybrid modal-balanced truncation method based on power system transfer function energy concepts
JN IET Generation, Transmission & Distribution
VO 9
IS 11
SP 1186
OP 1194
AB 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.
K1 modal reduced order model
K1 subspace accelerated dominant pole algorithm
K1 dominant poles computation
K1 square root balanced truncation method
K1 enhanced SADPA code
K1 hybrid modal-balanced truncation method
K1 ROM
K1 stopping criterion
K1 spectral energy concept
K1 power system transfer function energy concept
K1 large-scale sparse linear descriptor system
DO https://doi.org/10.1049/iet-gtd.2014.1116
UL https://digital-library.theiet.org/;jsessionid=6lh8nkspoq9ur.x-iet-live-01content/journals/10.1049/iet-gtd.2014.1116
LA English
SN 1751-8687
YR 2015
OL EN