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 http://dx.doi.org/10.1049/iet-gtd.2014.1116

UL http://digital-library.theiet.org/;jsessionid=7hde0nck21s1h.x-iet-live-01content/journals/10.1049/iet-gtd.2014.1116

LA English

SN 1751-8687

YR 2015

OL EN