Matrix: TSOPF/TSOPF_RS_b300_c3

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

TSOPF/TSOPF_RS_b300_c3 graph TSOPF/TSOPF_RS_b300_c3 graph
(bipartite graph drawing) (graph drawing of A+A')

TSOPF/TSOPF_RS_b300_c3 dmperm of TSOPF/TSOPF_RS_b300_c3
scc of TSOPF/TSOPF_RS_b300_c3

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  • Matrix group: TSOPF
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  • download as a MATLAB mat-file, file size: 15 MB. Use UFget(2239) or UFget('TSOPF/TSOPF_RS_b300_c3') in MATLAB.
  • download in Matrix Market format, file size: 33 MB.
  • download in Rutherford/Boeing format, file size: 20 MB.

    Matrix properties
    number of rows42,138
    number of columns42,138
    structural full rank?yes
    structural rank42,138
    # of blocks from dmperm371
    # strongly connected comp.370
    explicit zero entries0
    nonzero pattern symmetry 1%
    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 42138-by-137


    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 AMD10,407,947
    Cholesky flop count2.8e+09
    nnz(L+U), no partial pivoting, with AMD20,773,756
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD1,326,015
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD10,900,888

    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.