GEMAT12: Optimal power flow problems
Power flow in 2400 bus system in western US -- basis after 100 iterations

from set GEMAT, from the Harwell-Boeing Collection

Basis for contrained nonlinear optimization problem represented by GEMAT1 after 100 optimal power flow iterations.

Download as

Compressed MatrixMarket format file: gemat12.mtx.gz (314338 bytes)
Compressed Harwell-Boeing format file: gemat12.rua.gz (248387 bytes)

Visualizations

Click on image to get an enlarged version. Click on label to get an explanation.

Structure Plot	City Plot

Matrix Statistics

Size	Type
4929 x 4929, 33111 entries	real unsymmetric
Nonzeros
total diagonal below diagonal above diagonal A-A' 33044 9 18762 14273 66022
Column Data	Row Data
Average nonzeros per column : 6.7 Standard deviation : 3.4 index nonzeros longest 19 28 shortest 4554 1	Average nonzeros per row : 6.7 Standard deviation : 3 index nonzeros longest 4929 44 shortest 347 2
Bandwidths	Profile Storage
lower 4899 upper 4579 average |i-j| 1.2e+03 std.dev. 8.2e+02	min max ave. std.dev. lower bandwidth 0 4898 1.4e+03 8.9e+02 upper bandwidth 0 4578 8.4e+02 1.2e+03 Nonsymmetric skyline storage 11026296
Heaviest diagonals
offset from main -124 -45 -25 -10 -1299 -351 -350 -42 -20 1657 nonzeros 17 17 17 17 16 16 16 16 16 16 accumulated percent 0.05 0.10 0.15 0.21 0.25 0.30 0.35 0.40 0.45 0.50 Top 10 out of 5971 nonvoid diagonals.
Conditioning
Frobenius norm 9.7e+02 condition number (est.) 3.74e+08 2-norm (est.) 6.9e+02 diagonal dominance no

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