sir
i am using price sensitive loads concept.i select the bus 4th as my
dispatchable load.before converting the loads to dispatchable the LMP at
the 4th bus is 40.19$/MWh.now i set the curtailble price at 38 as
mpc=loadcase('case14m');
>> mpc0=load2disp(mpc,'m',4,38);
>> runopf(mpc0)
MATPOWER Version 5.0b1, 01-Jul-2014 -- AC Optimal Power Flow
MATLAB Interior Point Solver -- MIPS, Version 1.0.2, 01-Jul-2014
Converged!
Converged in 0.10 seconds
Objective Function Value = 6190.15 $/hr
================================================================================
| System Summary
|
================================================================================
How many? How much? P (MW) Q (MVAr)
--------------------- ------------------- -------------
-----------------
Buses 14 Total Gen Capacity 772.4 -52.0 to 148.0
Generators 5 On-line Capacity 772.4 -52.0 to 148.0
Committed Gens 5 Generation (actual) 220.2 71.2
Loads 11 Load 211.2 77.4
Fixed 10 Fixed 211.2 77.4
Dispatchable 1 Dispatchable 0.0 of 47.8 -0.0
Shunts 1 Shunt (inj) -0.0 20.7
Branches 20 Losses (I^2 * Z) 8.97 38.85
Transformers 3 Branch Charging (inj) - 24.3
Inter-ties 0 Total Inter-tie Flow 0.0 0.0
Areas 1
Minimum Maximum
------------------------- --------------------------------
Voltage Magnitude 1.011 p.u. @ bus 3 1.060 p.u. @ bus 1
Voltage Angle -13.69 deg @ bus 14 0.00 deg @ bus 1
P Losses (I^2*R) - 2.72 MW @ line 1-2
Q Losses (I^2*X) - 8.30 MVAr @ line 1-2
Lambda P 35.84 $/MWh @ bus 1 40.03 $/MWh @ bus 3
Lambda Q -0.08 $/MWh @ bus 1 0.56 $/MWh @ bus 14
================================================================================
| Bus Data
|
================================================================================
Bus Voltage Generation Load
Lambda($/MVA-hr)
# Mag(pu) Ang(deg) P (MW) Q (MVAr) P (MW) Q (MVAr) P
Q
----- ------- -------- -------- -------- -------- -------- -------
-------
1 1.060 0.000* 184.04 0.00 - -
35.838 -0.084
2 1.041 -3.889 34.80 25.44 21.70 12.70 37.398
-
3 1.011 -10.790 1.33 28.24 94.20 19.00 40.026
-
4 1.018 -7.626 - - 0.00* -0.00*
38.762 0.161
5 1.019 -6.692 - - 7.60 1.60
38.380 0.220
6 1.060 -12.021 0.00 9.97 11.20 7.50 38.386
-
7 1.048 -10.804 - - - -
38.787 0.133
8 1.060 -10.804 0.00 7.52 - -
38.787 -
9 1.045 -12.468 - - 29.50 16.60
38.802 0.202
10 1.040 -12.680 - - 9.00 5.80
38.950 0.308
11 1.046 -12.482 - - 3.50 1.80
38.795 0.225
12 1.045 -12.873 - - 6.10 1.60
39.007 0.207
13 1.040 -12.934 - - 13.50 5.80
39.200 0.343
14 1.024 -13.692 - - 14.90 5.00
39.800 0.559
-------- -------- -------- --------
Total: 220.17 71.16 211.20 77.40
================================================================================
| Branch Data
|
================================================================================
Brnch From To From Bus Injection To Bus Injection Loss (I^2 *
Z)
# Bus Bus P (MW) Q (MVAr) P (MW) Q (MVAr) P (MW) Q
(MVAr)
----- ----- ----- -------- -------- -------- -------- --------
--------
1 1 2 125.50 -6.03 -122.78 8.50 2.718
8.30
2 1 5 58.54 6.03 -56.86 -4.39 1.685
6.96
3 2 3 64.90 1.90 -63.07 1.21 1.834
7.73
4 2 4 39.83 0.18 -38.98 -1.19 0.853
2.59
5 2 5 31.15 2.16 -30.63 -4.25 0.518
1.58
6 3 4 -29.80 8.03 30.43 -7.74 0.632
1.61
7 4 5 -37.01 9.82 37.19 -9.22 0.189
0.60
8 4 7 28.90 -2.65 -28.90 4.28 0.000
1.63
9 4 9 16.65 1.76 -16.65 -0.35 0.000
1.41
10 5 6 42.69 16.26 -42.69 -11.86 0.000
4.40
11 6 11 6.48 4.18 -6.43 -4.08 0.050
0.11
12 6 12 7.69 2.60 -7.62 -2.45 0.072
0.15
13 6 13 17.31 7.54 -17.10 -7.12 0.210
0.41
14 7 8 -0.00 -7.43 0.00 7.52 0.000
0.09
15 7 9 28.90 3.15 -28.90 -2.30 0.000
0.85
16 9 10 6.09 3.58 -6.08 -3.55 0.015
0.04
17 9 14 9.96 3.20 -9.83 -2.93 0.127
0.27
18 10 11 -2.92 -2.25 2.93 2.28 0.010
0.02
19 12 13 1.52 0.85 -1.51 -0.85 0.006
0.01
20 13 14 5.12 2.17 -5.07 -2.07 0.049
0.10
--------
--------
Total: 8.968
38.85
================================================================================
| Voltage Constraints
|
================================================================================
Bus # Vmin mu Vmin |V| Vmax Vmax mu
----- -------- ----- ----- ----- --------
1 - 0.940 1.060 1.060 518.860
6 - 0.940 1.060 1.060 72.456
8 - 0.940 1.060 1.060 79.294
================================================================================
| Generation Constraints
|
================================================================================
Gen Bus Active Power Limits
# # Pmin mu Pmin Pg Pmax Pmax mu
---- ----- ------- -------- -------- -------- -------
4 6 1.614 0.00 0.00 100.00 -
5 8 1.213 0.00 0.00 100.00 -
Gen Bus Reactive Power Limits
# # Qmin mu Qmin Qg Qmax Qmax mu
--- --- ------- -------- -------- -------- -------
1 1 0.084 0.00 0.00 10.00 -
================================================================================
| Dispatchable Load Constraints
|
================================================================================
Gen Bus Active Power Limits
# # Pmin mu Pmin Pg Pmax Pmax mu
--- --- ------- -------- -------- -------- -------
6 4 - -47.80 -0.00 0.00 0.351
Gen Bus Reactive Power Limits
# # Qmin mu Qmin Qg Qmax Qmax mu
--- --- ------- -------- -------- -------- -------
6 4 4.868 0.00 0.00 3.90 -
my doubt is when i set the price at 45 more than the price 40.19 which i
get in normal power flow then the load is not curtailed.
1.the load should be curtailed for prices more than the marginal cost.but
here the load is curtailed for less prices.why and what is the concept
behind that.
