GEMAT1: Optimal power flow problems
Power flow in 2400 bus system in western US

from set GEMAT, from the Harwell-Boeing Collection

Jacobian matrix for an approximately 2400 bus system in the Western United States. The rows represent the equality and some nonlinear constraints of the power flow problem. The first block of columns represents the standard angle and voltage variables of the power flow problem. The last block of columns is very sparse and represents the transformer taps and capacitors.

Download as

Compressed MatrixMarket format file: gemat1.mtx.gz (407866 bytes)
Compressed Harwell-Boeing format file: gemat1.rra.gz (328260 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 10595, 47369 entries	real unsymmetric
Nonzeros
total diagonal below diagonal above diagonal A-A' 46591 5 16869 29717 N/A
Column Data	Row Data
Average nonzeros per column : 4.4 Standard deviation : 3.3 index nonzeros longest 19 28 shortest 5667 1	Average nonzeros per row : 9.5 Standard deviation : 60 index nonzeros longest 4929 4230 shortest 693 2
Bandwidths	Profile Storage
lower 4899 upper 5668 average |i-j| 2.1e+03 std.dev. 1.7e+03	min max ave. std.dev. lower bandwidth 0 4898 6.5e+02 9.2e+02 upper bandwidth 0 5667 3.3e+03 2.4e+03 Nonsymmetric skyline storage N/A
Heaviest diagonals
offset from main 5666 5667 4915 1813 1844 -633 461 739 1176 1831 nonzeros 2465 2464 19 17 17 16 16 16 16 16 accumulated percent 5.29 10.58 10.62 10.66 10.69 10.73 10.76 10.80 10.83 10.86 Top 10 out of 8436 nonvoid diagonals.
Conditioning
Frobenius norm 2.4e+04 condition number (est.) Not available. 2-norm (est.) 2.3e+04 diagonal dominance no

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