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GEMAT11: Optimal power flow problems
Power flow in 2400 bus system in western US -- initial basis

from set GEMAT, from the Harwell-Boeing Collection

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Initial basis for contrained nonlinear optimization problem represented by GEMAT1.


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Visualizations

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Structure Plot City Plot
structure plot city plot


Matrix Statistics

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Size Type
4929 x 4929, 33185 entries real unsymmetric
Nonzeros
totaldiagonalbelow diagonalabove diagonalA-A'
33108 13 18673 14422 66146
Column Data Row Data
Average nonzeros per column : 6.7
Standard deviation : 3.4

indexnonzeros
longest19 28
shortest4579 1

Average nonzeros per row : 6.7
Standard deviation : 3

indexnonzeros
longest37 27
shortest4929 1

Bandwidths Profile Storage
lower4899 upper4561
average |i-j|1.2e+03 std.dev.8.2e+02
minmaxave.std.dev.
lower bandwidth0 4898 1.4e+03 8.9e+02
upper bandwidth0 4560 8.4e+02 1.2e+03

Nonsymmetric skyline storage 11047577

Heaviest diagonals
offset from main-31 -40 -98 -97 -42 -11 402 -601 -39 -30
nonzeros19 18 17 17 17 17 17 16 16 16
accumulated percent 0.06 0.11 0.16 0.21 0.27 0.32 0.37 0.42 0.47 0.51

Top 10 out of 5998 nonvoid diagonals.
Conditioning
Frobenius norm8.2e+02 condition number (est.)3.74e+08
2-norm (est.)6.9e+02 diagonal dominanceno


Set Information

Set GEMAT
Source: Rob Burchett, General Electric Company, Schenectady, New York.
Discipline:Power flow modeling
Accession:Summer 1984


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Last change in this page: Wed Sep 22 13:33:39 US/Eastern 2004 [Comments: ]