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S80PI_n.mtx
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%%MatrixMarket matrix coordinate real general
%-------------------------------------------------------------------------------
% UF Sparse Matrix Collection, Tim Davis
% http://www.cise.ufl.edu/research/sparse/matrices/Rommes/S80PI_n
% name: Rommes/S80PI_n
% [Transmission line, 80 sections, SISO, index-2 DAE (CEPEL, Brazil)]
% id: 2372
% date: 2010
% author: F. Freitas
% ed: J. Rommes
% fields: name title A id date author ed kind notes aux
% aux: B C E
% kind: eigenvalue/model reduction problem
%-------------------------------------------------------------------------------
% notes:
% Power system models from Joost Rommes, Nelson Martins, Francisco Freitas
%
% This collection of power system models originates from real power systems,
% mostly based on Brazilian interconection power systems (BIPS) models (the file
% names refer to the actual power system related to a given year electric load
% scenario). These systems [E dx/dt = Ax + Bu ; y=Cx + Du] are interesting
% benchmarks for several numerical algorithms, including eigenvalue algorithms
% (dominant modes/poles/zeros, stability analysis, computing rightmost
% eigenvalues and/or with smallest damping ratio, eigenvalue parameter
% sensitivity) and model order reduction (large-scale DAEs ). Refer to the
% corresponding publications for more details on the systems and numerical
% results of several eigenvalue/model order reduction algorithms. For
% corresponding software, see http://sites.google.com/site/rommes/software
%
% If E is not present in the problem, then E=I should be assumed.
% If D is not present, D=0 should be assumed. (Note that as of Jan 2011,
% no problem has a nonzero D).
%
% The iv vector in some of the files is a vector with nonzeros (ones) at indices
% that represent state-variables (the zeros are algebraic variables). One can
% construct the descriptor matrix E by E=spdiags(iv,0,n,n). This iv vector is
% generated by the Brazilian power system simulation software, and can be more
% efficient to compute with.
%
% Test systems:
%
% All power system models originate from CEPEL ( http://www.cepel.br/ )
%
% power system file n #inputs #outputs references
% ------------ ---- ------ ------- -------- --
% New England ww_36_pmec_36 66 1 1 [1]
% BIPS/97 ww_vref_6405 13251 1 1 [1]
% BIPS/2007 xingo_afonso_itaipu 13250 1 1 [2]
% BIPS/97 mimo8x8_system 13309 8 8 [3]
% BIPS/97 mimo28x28_system 13251 28 28 [3]
% BIPS/97 mimo46x46_system 13250 46 46 [4]
% Juba5723 juba40k 40337 2 1 [5]
% Bauru5727 bauru5727 40366 2 2 [5]
% zeros_nopss zeros_nopss_13k 13296 46 46 [5]
% xingo6u descriptor_xingo6u 20738 1 6 [5]
% nopss nopss_11k 11685 1 1 [5]
% xingo3012 xingo3012 20944 2 2 [5]
% bips98_606 bips98_606 7135 4 4 [6]
% bips98_1142 bips98_1142 9735 4 4 [6]
% bips98_1450 bips98_1450 11305 4 4 [6]
% bips07_1693 bips07_1693 13275 4 4 [6]
% bips07_1998 bips07_1998 15066 4 4 [6]
% bips07_2476 bips07_2476 16861 4 4 [6]
% bips07_3078 bips07_3078 21128 4 4 [6]
%
% Several SISO/MIMO test systems, whose main components are transmission lines
% (TL) are available. TLs are modeled by ladder networks, comprised of cascaded
% RLC PI-circuits, having fixed parameters.
%
% Transmission lines with 10--80 PI Sections are considered.
% PIsections10to80.zip [Submitted]
%
% There are two kinds of files for representing a same system: the file with
% termination _n refers to an index-2 system DAE model, while _n1 means
% a model of the same system, but for an index-1 DAE representation. The
% representation of each test system has the form [E dx/dt = Ax + Bu ; y=Cx]
%
% References:
%
% [1] ROMMES, J., MARTINS, N., Efficient computation of transfer function
% dominant poles using subspace acceleration. IEEE Trans. on Power Systems,
% Vol. 21, Issue 3, Aug. 2006, pp. 1218-1226
%
% [2] ROMMES, J., MARTINS, N., Computing large-scale system eigenvalues most
% sensitive to parameter changes, with applications to power system
% small-signal stability , IEEE Transactions on Power Systems, Vol. 23, Issue
% 2, May 2008, pp. 434-442
%
% [3] ROMMES, J., MARTINS, N., Efficient computation of multivariable transfer
% function dominant poles using subspace acceleration. 2006, IEEE Trans. on,
% Power Systems, Vol. 21, Issue 4, Nov. 2006, pp. 1471-1483.
%
% [4] MARTINS, N., PELLANDA, P.C.,ROMMES, J., Computation of transfer function
% dominant zeros with applications to oscillation damping control of large
% power systems, IEEE Trans. on Power Systems, Vol. 22, Issue 4, Nov. 2007,
% pp. 1657-1664
%
% [5] ROMMES, J., MARTINS, N., FREITAS, F., Computing Rightmost Eigenvalues for
% Small-Signal Stability Assessment of Large-Scale Power Systems, IEEE
% Transactions on Power Systems, Vol. 25, Issue 2, May 2010, pp.929-938
%
% [6] FREITAS, F., ROMMES, J., MARTINS, N., Gramian-Based Reduction Method
% Applied to Large Sparse Power System Descriptor Models, IEEE Transactions
% on Power Systems, Vol. 23, Issue 3, August 2008, pp. 1258-1270
%-------------------------------------------------------------------------------
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