%0 Electronic Article
%A Sergio Luis Varricchio
%+ Electrical Energy Research Center, CEPEL, Rio de Janeiro, RJ, CEP:20001-970, Brazil
%A Francisco Damasceno Freitas
%+ Department of Electrical Engineering, University of Brasilia, Brasilia, DF, CEP:70910-900, Brazil
%A Nelson Martins
%+ Electrical Energy Research Center, CEPEL, Rio de Janeiro, RJ, CEP:20001-970, Brazil
%K modal reduced order model
%K subspace accelerated dominant pole algorithm
%K dominant poles computation
%K square root balanced truncation method
%K enhanced SADPA code
%K hybrid modal-balanced truncation method
%K ROM
%K stopping criterion
%K spectral energy concept
%K power system transfer function energy concept
%K large-scale sparse linear descriptor system
%X 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.
%@ 1751-8687
%T Hybrid modal-balanced truncation method based on power system transfer function energy concepts
%B IET Generation, Transmission & Distribution
%D August 2015
%V 9
%N 11
%P 1186-1194
%I Institution of Engineering and Technology
%U https://digital-library.theiet.org/;jsessionid=815uucrqao40.x-iet-live-01content/journals/10.1049/iet-gtd.2014.1116
%G EN