Matrix: TSOPF/TSOPF_FS_b9_c1

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

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• Matrix group: TSOPF
• download as a MATLAB mat-file, file size: 39 KB. Use UFget(2230) or UFget('TSOPF/TSOPF_FS_b9_c1') in MATLAB.

 Matrix properties number of rows 2,454 number of columns 2,454 nonzeros 25,032 structural full rank? yes structural rank 2,454 # of blocks from dmperm 2 # strongly connected comp. 2 explicit zero entries 0 nonzero pattern symmetry symmetric numeric value symmetry symmetric type real structure symmetric Cholesky candidate? no positive definite? no

 author G. Geng editor T. Davis date 2009 kind power network problem 2D/3D problem? no

 Additional fields size and type b sparse 2454-by-1

Notes:

```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 AMD 33,878 Cholesky flop count 5.8e+05 nnz(L+U), no partial pivoting, with AMD 65,302 nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD 524,463 nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD 884,993

 SVD-based statistics: norm(A) 5306.19 min(svd(A)) 7.34197e-09 cond(A) 7.22721e+11 rank(A) 2,454 sprank(A)-rank(A) 0 null space dimension 0 full numerical rank? yes

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