Validation 05 - Two Generator, Two Bus, Two Load, One Branch, Line Constraint¶

In [38]:

%matplotlib inline

In [39]:

import psst

In [40]:

from psst.case import read_matpower
from psst.network import create_network

Validation of case 1¶

In [41]:

case = read_matpower('./cases/case5.m')

In [42]:

network = create_network(case, prog='neato')
network.draw()

../../_images/notebooks_validation_Validation05-TwoGeneratorTwoBusTwoLoadOneBranchLineConstraint_6_0.png

In [43]:

case

Out[43]:

<psst.case.PSSTCase(name=case, Generators=2, Buses=2, Branches=1)>

In [44]:

case.bus

Out[44]:

	TYPE	PD	QD	GS	BS	AREA	VM	VA	BASEKV	ZONE	VMAX	VMIN
Bus1	3	100	131.47	0	0	1	1	0	230	1	1.1	0.9
Bus2	2	300	0.00	0	0	1	1	0	230	1	1.1	0.9

In [45]:

case.branch

Out[45]:

	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	50	50	50	0	0	1	-360	360

In [46]:

case.gen

Out[46]:

	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	200	0	30	-30	1	100	1	200	0	0	0	0	0	0	0	0	0	0	0	0
GenCo1	Bus2	500	0	30	-30	1	100	1	500	0	0	0	0	0	0	0	0	0	0	0	0

In [47]:

case.gencost

Out[47]:

	MODEL	STARTUP	SHUTDOWN	NCOST	COST_1	COST_0
GenCo0	1	0	0	2	10	0
GenCo1	1	0	0	2	14	0

In [48]:

case.load

Out[48]:

	Bus1	Bus2
0	100.0	300.0

In [49]:

from psst.model import build_model

In [50]:

model = build_model(case)

In [51]:

model

Out[51]:

<psst.model.PSSTModel(status=None)>

In [52]:

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/tmp4jcOLU.pyomo.lp -import -stat=1 -solve -solu /var/folders/wk/lcf0vgd90bx0vq1873tn04knk_djr3/T/tmp4jcOLU.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/tmp4jcOLU.pyomo.lp
Presolve 7 (-41) rows, 13 (-27) columns and 22 (-77) elements
Statistics for presolved model
Original problem has 2 integers (2 of which binary)


Problem has 7 rows, 13 columns (8 with objective) and 22 elements
There are 8 singletons with objective
Column breakdown:
10 of type 0.0->inf, 2 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:
0 of type E 0.0, 0 of type E 1.0, 0 of type E -1.0,
3 of type E other, 0 of type G 0.0, 0 of type G 1.0,
0 of type G other, 2 of type L 0.0, 0 of type L 1.0,
2 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 5000 - 0.00 seconds
Cgl0004I processed model has 7 rows, 13 columns (0 integer (0 of which binary)) and 20 elements
Cbc3007W No integer variables - nothing to do
Cuts at root node changed objective from 5000 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:                5000.00000000
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 [53]:

import pandas as pd

In [54]:

pd.DataFrame(case.gen['PMAX'])

Out[54]:

	PMAX
GenCo0	200
GenCo1	500

In [55]:

case.load

Out[55]:

	Bus1	Bus2
0	100.0	300.0

Model Results¶

In [56]:

model.results.unit_commitment

Out[56]:

	GenCo0	GenCo1
0	1	1

In [57]:

model.results.power_generated

Out[57]:

	GenCo0	GenCo1
0	150	250

In [58]:

model.results.production_cost

Out[58]:

In [64]:

print(case.gencost.loc['GenCo0', 'COST_1']*model.results.power_generated['GenCo0'].values[0])
print(case.gencost.loc['GenCo1', 'COST_1']*model.results.power_generated['GenCo1'].values[0])

1500
3500

In [60]:

model.results.line_power

Out[60]:

	0
0	50

In [61]:

model.results.lmp

Out[61]:

	Bus1	Bus2
0	10	14

In [62]:

from psst.plot import line_power

In [63]:

line_power(network, model.results, hour=0)

Out[63]:

<matplotlib.axes._subplots.AxesSubplot at 0x111067c90>

../../_images/notebooks_validation_Validation05-TwoGeneratorTwoBusTwoLoadOneBranchLineConstraint_29_1.png

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