Matrix: TSOPF/TSOPF_RS_b2383_c1

Description: transient optimal power flow, Reduced-Space. Guangchao Geng, Zhejiang Univ

TSOPF/TSOPF_RS_b2383_c1 graph TSOPF/TSOPF_RS_b2383_c1 graph
(bipartite graph drawing) (graph drawing of A+A')

TSOPF/TSOPF_RS_b2383_c1 dmperm of TSOPF/TSOPF_RS_b2383_c1
scc of TSOPF/TSOPF_RS_b2383_c1

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  • Matrix group: TSOPF
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  • download as a MATLAB mat-file, file size: 80 MB. Use UFget(2236) or UFget('TSOPF/TSOPF_RS_b2383_c1') in MATLAB.
  • download in Matrix Market format, file size: 127 MB.
  • download in Rutherford/Boeing format, file size: 77 MB.

    Matrix properties
    number of rows38,120
    number of columns38,120
    structural full rank?yes
    structural rank38,120
    # of blocks from dmperm378
    # strongly connected comp.378
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorG. Geng
    editorT. Davis
    kindpower network problem
    2D/3D problem?no

    Additional fieldssize and type
    bsparse 38120-by-653


    Transient stability-constrained optimal power flow (TSOPF) problems from     
    Guangchao Geng, Institute of Power System, College of Electrical Engineering,
    Zhejiang University, Hangzhou, 310027, China.  (genggc AT gmail DOT com).    
    Matrices in the  Full-Space (FS) group are symmetric indefinite, and are best
    solved with MA57.  Matrices in the the Reduced-Space (RS) group are best     
    solved with KLU, which for these matrices can be 10 times faster than UMFPACK
    or SuperLU.                                                                  

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD39,364,798
    Cholesky flop count5.0e+10
    nnz(L+U), no partial pivoting, with AMD78,691,476
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD5,531,575
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD40,920,513

    SVD-based statistics:
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (A))

    TSOPF/TSOPF_RS_b2383_c1 svd

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.