Matrix: IPSO/OPF_10000

Description: Power simulation matrix, Li Peijie, Inst. of Power Systems, Guangxi Univ.

IPSO/OPF_10000 graph
(undirected graph drawing)


IPSO/OPF_10000

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  • Matrix group: IPSO
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  • download as a MATLAB mat-file, file size: 3 MB. Use UFget(2536) or UFget('IPSO/OPF_10000') in MATLAB.
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    Matrix properties
    number of rows43,887
    number of columns43,887
    nonzeros426,898
    structural full rank?yes
    structural rank43,887
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries40,813
    nonzero pattern symmetrysymmetric
    numeric value symmetrysymmetric
    typereal
    structuresymmetric
    Cholesky candidate?no
    positive definite?no

    authorL. Peijie
    editorJ. Hogg
    date2011
    kindpower network problem
    2D/3D problem?no

    Additional fieldssize and type
    bfull 43887-by-1

    Notes:

    Three different kinds of optimization methods (OPF, TSCOPF, HTC)
    applied to power system simulation.  All matrices are symmetric 
    indefinite.  From Li Peijie, Institute of Power Systems,        
    Guangxi University (beyondpeijie at gxu.edu.cn).  Collected by  
    Jonathan Hogg, Rutherford Appleton Laboratory, Oxfordshire, UK. 
    

    Ordering statistics:result
    nnz(chol(P*(A+A'+s*I)*P')) with AMD312,832
    Cholesky flop count2.8e+06
    nnz(L+U), no partial pivoting, with AMD581,777
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD533,666
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,165,631

    Note that all matrix statistics (except nonzero pattern symmetry) exclude the 40813 explicit zero entries.

    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.