Matrix: TSOPF/TSOPF_RS_b2052_c1

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

TSOPF/TSOPF_RS_b2052_c1 graph TSOPF/TSOPF_RS_b2052_c1 graph
(bipartite graph drawing) (graph drawing of A+A')

TSOPF/TSOPF_RS_b2052_c1 dmperm of TSOPF/TSOPF_RS_b2052_c1
scc of TSOPF/TSOPF_RS_b2052_c1

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  • Matrix group: TSOPF
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  • download as a MATLAB mat-file, file size: 27 MB. Use UFget(2235) or UFget('TSOPF/TSOPF_RS_b2052_c1') in MATLAB.
  • download in Matrix Market format, file size: 48 MB.
  • download in Rutherford/Boeing format, file size: 35 MB.

    Matrix properties
    number of rows25,626
    number of columns25,626
    structural full rank?yes
    structural rank25,626
    # of blocks from dmperm262
    # strongly connected comp.262
    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 25626-by-421


    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 AMD16,173,442
    Cholesky flop count1.3e+10
    nnz(L+U), no partial pivoting, with AMD32,321,258
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD2,280,064
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD17,010,331

    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_b2052_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.