Validation 02 - Single Generator, Two Bus

In [67]:
%matplotlib inline
In [68]:
import psst
In [69]:
from psst.case import read_matpower
from psst.network import create_network

Validation of case 1

In [70]:
case = read_matpower('./cases/case2.m')
In [71]:
create_network(case).draw()
../../_images/notebooks_validation_Validation02-SingleGeneratorTwoBus_6_0.png
In [72]:
case
Out[72]:
<psst.case.PSSTCase(name=case5, Generators=1, Buses=2, Branches=1)>
In [91]:
case.bus
Out[91]:
TYPE PD QD GS BS AREA VM VA BASEKV ZONE VMAX VMIN
Bus1 3 0 131.47 0 0 1 1 0 230 1 1.1 0.9
Bus2 2 400 0.00 0 0 1 1 0 230 1 1.1 0.9
In [90]:
case.branch
Out[90]:
F_BUS T_BUS BR_R BR_X BR_B RATE_A RATE_B RATE_C TAP SHIFT BR_STATUS ANGMIN ANGMAX
0 Bus1 Bus2 0.00281 0.0281 0.00712 800 800 800 0 0 1 -360 360
In [73]:
case.gen
Out[73]:
GEN_BUS PG QG QMAX QMIN VG MBASE GEN_STATUS PMAX PMIN PC1 PC2 QC1MIN QC1MAX QC2MIN QC2MAX RAMP_AGC RAMP_10 RAMP_30 RAMP_Q APF
GenCo0 Bus1 500 0 30 -30 1 100 1 500 0 0 0 0 0 0 0 0 0 0 0 0
In [74]:
case.gencost
Out[74]:
MODEL STARTUP SHUTDOWN NCOST COST_1 COST_0
GenCo0 1 0 0 2 14 0
In [75]:
case.load
Out[75]:
Bus1 Bus2
0 0.0 400.0
In [76]:
from psst.model import build_model
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model = build_model(case)
In [78]:
model
Out[78]:
<psst.model.PSSTModel(status=None)>
In [79]:
model.solve(solver='cbc', verbose=True)
Welcome to the CBC MILP Solver
Version: 2.9.6
Build Date: May 27 2016

command line - /usr/local/bin/cbc -mipgap 0.01 -printingOptions all -import /var/folders/wk/lcf0vgd90bx0vq1873tn04knk_djr3/T/tmpnfzthS.pyomo.lp -import -stat=1 -solve -solu /var/folders/wk/lcf0vgd90bx0vq1873tn04knk_djr3/T/tmpnfzthS.pyomo.soln (default strategy 1)
No match for mipgap - ? for list of commands
No match for 0.01 - ? for list of commands
Option for printingOptions changed from normal to all
Current default (if $ as parameter) for import is /var/folders/wk/lcf0vgd90bx0vq1873tn04knk_djr3/T/tmpnfzthS.pyomo.lp
Presolve 5 (-31) rows, 10 (-21) columns and 15 (-59) elements
Statistics for presolved model
Original problem has 1 integers (1 of which binary)


Problem has 5 rows, 10 columns (7 with objective) and 15 elements
There are 7 singletons with objective
Column breakdown:
8 of type 0.0->inf, 1 of type 0.0->up, 0 of type lo->inf,
1 of type lo->up, 0 of type free, 0 of type fixed,
0 of type -inf->0.0, 0 of type -inf->up, 0 of type 0.0->1.0
Row breakdown:
1 of type E 0.0, 0 of type E 1.0, 0 of type E -1.0,
2 of type E other, 0 of type G 0.0, 0 of type G 1.0,
0 of type G other, 1 of type L 0.0, 0 of type L 1.0,
1 of type L other, 0 of type Range 0.0->1.0, 0 of type Range other,
0 of type Free
Continuous objective value is 5600 - 0.00 seconds
Cgl0004I processed model has 5 rows, 10 columns (0 integer (0 of which binary)) and 14 elements
Cbc3007W No integer variables - nothing to do
Cuts at root node changed objective from 5600 to -1.79769e+308
Probing was tried 0 times and created 0 cuts of which 0 were active after adding rounds of cuts (0.000 seconds)
Gomory was tried 0 times and created 0 cuts of which 0 were active after adding rounds of cuts (0.000 seconds)
Knapsack was tried 0 times and created 0 cuts of which 0 were active after adding rounds of cuts (0.000 seconds)
Clique was tried 0 times and created 0 cuts of which 0 were active after adding rounds of cuts (0.000 seconds)
MixedIntegerRounding2 was tried 0 times and created 0 cuts of which 0 were active after adding rounds of cuts (0.000 seconds)
FlowCover was tried 0 times and created 0 cuts of which 0 were active after adding rounds of cuts (0.000 seconds)
TwoMirCuts was tried 0 times and created 0 cuts of which 0 were active after adding rounds of cuts (0.000 seconds)

Result - Optimal solution found

Objective value:                5600.00000000
Enumerated nodes:               0
Total iterations:               0
Time (CPU seconds):             0.00
Time (Wallclock seconds):       0.00

Total time (CPU seconds):       0.00   (Wallclock seconds):       0.01

Input data

In [80]:
import pandas as pd
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pd.DataFrame(case.gen['PMAX'])
Out[81]:
PMAX
GenCo0 500
In [82]:
case.load
Out[82]:
Bus1 Bus2
0 0.0 400.0

Model Results

In [83]:
model.results.unit_commitment
Out[83]:
GenCo0
0 1
In [84]:
model.results.power_generated
Out[84]:
GenCo0
0 400
In [85]:
model.results.production_cost
Out[85]:
5600
In [86]:
model.results.line_power
Out[86]:
0
0 400
In [87]:
model.results.lmp
Out[87]:
Bus1 Bus2
0 14 14
In [88]:
from psst.plot import line_power
In [89]:
line_power(case, model.results, hour=0)
Out[89]:
<matplotlib.axes._subplots.AxesSubplot at 0x111c2f0d0>
../../_images/notebooks_validation_Validation02-SingleGeneratorTwoBus_28_1.png