Dear Dr. Ray
I have tried to run optimal power flow for the 33 radial test bus system but it
does not converge. Knowing that the case file works for power flow (runpf).
I can not determine the source of the problem. Could you help me?
Attached below the program warnings and results:
>> runopf('case_amal5')
MATPOWER Version 4.1, 14-Dec-2011 -- AC Optimal Power Flow
MATLAB Interior Point Solver -- MIPS, Version 1.0, 07-Feb-2011Warning: Matrix
is close to singular or badly scaled.
Results may be inaccurate. RCOND = 5.247763e-018.
> In mips at 422
In mipsopf_solver at 145
In opf_execute at 106
In opf at 225
In runopf at 96
Warning: Matrix is close to singular or badly scaled.
Results may be inaccurate. RCOND = 3.349638e-022.
> In mips at 422
In mipsopf_solver at 145
In opf_execute at 106
In opf at 225
In runopf at 96
Numerically Failed
Did not converge in 13 iterations.
Did not converge (0.28 seconds)
Objective Function Value = 4.40 $/hr
================================================================================
| System Summary |
================================================================================
How many? How much? P (MW) Q (MVAr)
--------------------- ------------------- ------------- -----------------
Buses 33 Total Gen Capacity 6.0 -0.5 to 1.0
Generators 1 On-line Capacity 6.0 -0.5 to 1.0
Committed Gens 1 Generation (actual) 2.2 0.5
Loads 32 Load 3.7 2.3
Fixed 32 Fixed 3.7 2.3
Dispatchable 0 Dispatchable -0.0 of -0.0 -0.0
Shunts 0 Shunt (inj) -0.0 0.0
Branches 32 Losses (I^2 * Z) 0.13 0.09
Transformers 0 Branch Charging (inj) - 0.0
Inter-ties 0 Total Inter-tie Flow 0.0 0.0
Areas 1
Minimum Maximum
------------------------- --------------------------------
Voltage Magnitude 1.506 p.u. @ bus 18 1.532 p.u. @ bus 2
Voltage Angle -0.16 deg @ bus 18 0.09 deg @ bus 30
P Losses (I^2*R) - 0.04 MW @ line 1-2
Q Losses (I^2*X) - 0.02 MVAr @ line 1-2
Lambda P -6674.13 $/MWh @ bus 1 15413474426196144000.00 $/MWh @ bus
18
Lambda Q 4445.12 $/MWh @ bus 1 8466416009517438000.00 $/MWh @ bus
33
================================================================================
| Bus Data |
================================================================================
Bus Voltage Generation Load Lambda($/MVA-hr)
# Mag(pu) Ang(deg) P (MW) Q (MVAr) P (MW) Q (MVAr) P Q
----- ------- -------- -------- -------- -------- -------- ------- -------
1 1.526 0.000* 2.15 0.48 - - -6674.1314445.122
2 1.532 -0.001 - - 0.10 0.06
482471203417005.810249602520478259.500
3 1.523 0.008 - - 0.09 0.04
15072572746478563000.0008185918922953839600.000
4 1.522 0.017 - - 0.12 0.08
15104025286329487000.0008207876480607969300.000
5 1.520 0.026 - - 0.06 0.03
15134463712170088000.0008229215530480105500.000
6 1.516 0.015 - - 0.06 0.02
15206029152644973000.0008282433372989881300.000
7 1.515 -0.023 - - 0.20 0.10
15225286235917232000.0008290320354694113300.000
8 1.512 -0.060 - - 0.20 0.10
15296769731624745000.0008314283903063420900.000
9 1.511 -0.079 - - 0.06 0.02
15328004445576665000.0008322680628071578600.000
10 1.510 -0.096 - - 0.06 0.02
15355208175207971000.0008329745091343159300.000
11 1.510 -0.097 - - 0.04 0.03
15359180129512268000.0008330590821724995600.000
12 1.510 -0.099 - - 0.06 0.04
15365913344698071000.0008331654368793930800.000
13 1.515 -0.122 - - 0.06 0.04
15286706390876719000.0008252011468596544500.000
14 1.508 -0.136 - - 0.12 0.08
15376665231265518000.0008357579409955088400.000
15 1.508 -0.142 - - 0.06 0.01
15386528993294068000.0008360997889585863700.000
16 1.507 -0.146 - - 0.06 0.02
15395689234238870000.0008364574717577316400.000
17 1.506 -0.160 - - 0.06 0.02
15409536653083820000.0008370346040024593400.000
18 1.506 -0.162 - - 0.09 0.04
15413474426196144000.0008372131740058532900.000
19 1.526 -0.003 - - 0.09 0.04
483409380339560.500250432571149656.120
20 1.525 -0.021 - - 0.09 0.04
483931362873987.250250466952173264.060
21 1.525 -0.025 - - 0.09 0.04
484020789441837.310250453373003567.310
22 1.531 -0.029 - - 0.09 0.04
481787513781547.190247382801145038.620
23 1.528 0.002 - - 0.42 0.05
14979643414630095000.0008118178854098206700.000
24 1.521 0.004 - - 0.42 0.20
15106484506421404000.0008219389687429146600.000
25 1.521 0.014 - - 0.06 0.20
15109715780803389000.0008229638628413411300.000
26 1.516 0.022 - - 0.06 0.03
15211131578805922000.0008289737720668774400.000
27 1.521 0.031 - - 0.06 0.03
15098406719421895000.0008238958818964934700.000
28 1.512 0.047 - - 0.12 0.02
15249229614526636000.0008384065566448683000.000
29 1.510 0.064 - - 0.20 0.07
15283185053805144000.0008427418723589714900.000
30 1.509 0.086 - - 0.15 0.60
15296412867248689000.0008449006203481891800.000
31 1.508 0.077 - - 0.21 0.07
15317078797228669000.0008462351132649569300.000
32 1.507 0.077 - - 0.06 0.10
15319642074435744000.0008465341544258864100.000
33 1.507 0.076 - - 0.06 0.04
15321213791940397000.0008466416009517438000.000
-------- -------- -------- --------
Total: 2.15 0.48 3.69 2.30
================================================================================
| 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 -11.78 -6.13 11.83 6.16 0.044 0.02
2 2 3 3.41 1.85 -3.39 -1.84 0.020 0.01
3 3 4 0.78 0.55 -0.78 -0.55 0.001 0.00
4 4 5 0.72 0.51 -0.72 -0.51 0.001 0.00
5 5 6 0.69 0.51 -0.69 -0.51 0.002 0.00
6 6 7 0.44 0.17 -0.44 -0.17 0.000 0.00
7 7 8 0.35 0.11 -0.35 -0.11 0.001 0.00
8 8 9 0.25 0.06 -0.25 -0.06 0.000 0.00
9 9 10 0.22 0.05 -0.22 -0.05 0.000 0.00
10 10 11 0.19 0.04 -0.19 -0.04 0.000 0.00
11 11 12 0.17 0.03 -0.17 -0.03 0.000 0.00
12 12 13 -0.45 -0.46 0.46 0.46 0.002 0.00
13 13 14 1.15 1.35 -1.14 -1.34 0.005 0.01
14 14 15 0.13 0.05 -0.13 -0.05 0.000 0.00
15 15 16 0.10 0.04 -0.10 -0.04 0.000 0.00
16 16 17 0.07 0.03 -0.07 -0.03 0.000 0.00
17 17 18 0.04 0.02 -0.04 -0.02 0.000 0.00
18 2 19 4.67 4.35 -4.65 -4.34 0.018 0.02
19 19 20 0.09 0.01 -0.09 -0.01 0.000 0.00
20 20 21 0.05 -0.01 -0.05 0.01 0.000 0.00
21 21 22 -0.72 -0.99 0.72 0.99 0.003 0.00
22 3 23 -1.85 -1.35 1.86 1.36 0.006 0.00
23 23 24 1.21 0.97 -1.21 -0.96 0.006 0.00
24 24 25 0.03 0.10 -0.03 -0.10 0.000 0.00
25 6 26 0.21 0.33 -0.21 -0.33 0.000 0.00
26 26 27 -3.76 -1.69 3.77 1.70 0.013 0.01
27 27 28 1.15 1.11 -1.15 -1.10 0.007 0.01
28 28 29 0.34 0.43 -0.34 -0.43 0.001 0.00
29 29 30 0.24 0.39 -0.24 -0.39 0.000 0.00
30 30 31 0.16 0.10 -0.16 -0.10 0.000 0.00
31 31 32 0.06 0.07 -0.06 -0.07 0.000 0.00
32 32 33 0.03 0.02 -0.03 -0.02 0.000 0.00
-------- --------
Total: 0.130 0.09
================================================================================
| Voltage Constraints |
================================================================================
Bus # Vmin mu Vmin |V| Vmax Vmax mu
----- -------- ----- ----- ----- --------
1 6246.856 0.950 1.526 1.0501272740518625929200.000
2 6302.525 0.950 1.532 1.100355570291.153
3 6286.023 0.950 1.523 1.050234659548248.324
4 6304.242 0.950 1.522 1.05070211654568.559
5 6322.540 0.950 1.520 1.05029853950572.320
6 6369.737 0.950 1.516 1.0506097293404.070
7 6379.032 0.950 1.515 1.0504859694314.642
8 6415.832 0.950 1.512 1.0502062405473.305
9 6433.196 0.950 1.511 1.0501426960223.656
10 6449.101 0.950 1.510 1.050971125114.997
11 6451.543 0.950 1.510 1.050907364464.729
12 6455.813 0.950 1.510 1.050785716565.193
13 6529.122 0.950 1.515 1.10085464084.004
14 6480.352 0.950 1.508 1.0502838355.232
15 6484.456 0.950 1.508 1.050272204085.475
16 6488.425 0.950 1.507 1.050279697729.872
17 6494.291 0.950 1.506 1.050327620045.383
18 6496.046 0.950 1.506 1.050333944214.087
19 6253.843 0.950 1.526 1.0503008201144580546.000
20 6262.180 0.950 1.525 1.0505934815489843.966
21 6263.675 0.950 1.525 1.0501316284247402.528
22 6315.013 0.950 1.531 1.100325795191.182
23 6345.784 0.950 1.528 1.100251631455.982
24 6307.177 0.950 1.521 1.05048890166499.626
25 6310.559 0.950 1.521 1.05038714021061.191
26 6374.732 0.950 1.516 1.0502324115755.694
27 6434.834 0.950 1.521 1.100139848954.055
28 6413.029 0.950 1.512 1.0501912131557.960
29 6434.480 0.950 1.510 1.0501156823231.291
30 6442.778 0.950 1.509 1.050978580603.251
31 6452.337 0.950 1.508 1.050818185087.477
32 6453.938 0.950 1.507 1.050795031950.793
33 6454.696 0.950 1.507 1.050784387575.451
================================================================================
| Generation Constraints |
================================================================================
Gen Bus Active Power Limits
# # Pmin mu Pmin Pg Pmax Pmax mu
---- ----- ------- -------- -------- -------- -------
1 1 10275.446 0.00 2.15 6.00 3600.015
Gen Bus Reactive Power Limits
# # Qmin mu Qmin Qg Qmax Qmax mu
--- --- ------- -------- -------- -------- -------
1 16364.618 -0.50 0.48 1.0010809.675
================================================================================
| Branch Flow Constraints |
================================================================================
Brnch From "From" End Limit "To" End To
# Bus |Sf| mu |Sf| |Smax| |St| |St| mu Bus
----- ----- ------- -------- -------- -------- ------- -----
1 1 4.887 13.28 0.10 13.33 4.342 2
2 2 0.136 3.88 0.10 3.85444868379062962690.000 3
3 38857013.775 0.96 0.20 0.968980790.433 4
4 4190975.730 0.89 0.10 0.89196199.302 5
5 5 95220.586 0.86 0.10 0.85100930.224 6
6 6 28641.260 0.47 0.30 0.47 28714.067 7
7 7 19558.624 0.37 0.30 0.37 19668.295 8
8 8 5819.117 0.26 0.10 0.26 5825.381 9
9 9 5534.336 0.23 0.10 0.23 5538.127 10
10 10 5302.956 0.20 0.10 0.20 5303.362 11
11 11 5150.910 0.17 0.10 0.17 5151.381 12
12 12 2172.596 0.64 0.10 0.64 1984.649 13
13 13 2250.949 1.77 0.20 1.76 2649.396 14
14 14 5063.615 0.14 0.10 0.14 5064.110 15
15 15 4945.511 0.11 0.10 0.11 4945.803 16
16 16 4854.824 0.08 0.10 0.08 4855.038 17
17 17 4795.020 0.05 0.10 0.05 4795.043 18
18 2 22.331 6.38 0.10 6.36 161.524 19
19 19 4882.909 0.10 0.10 0.10 4883.192 20
20 20 4782.472 0.05 0.10 0.05 4782.467 21
21 21 1531.158 1.22 0.10 1.23 1351.125 22
22 3 3636.219 2.29 0.50 2.30 3132.169 23
23 23 7914.348 1.55 0.50 1.54 9907.350 24
24 24 13363.654 0.10 0.30 0.10 13364.250 25
25 6 6880.566 0.39 0.10 0.39 6885.089 26
26 26 483.983 4.12 0.10 4.14 333.084 27
27 27 17981.684 1.60 0.20 1.59176578.511 28
28 28 45384.414 0.55 0.30 0.55 45881.876 29
29 29 35066.816 0.46 0.70 0.46 35143.551 30
30 30 14458.864 0.19 0.30 0.19 14465.501 31
31 31 9401.831 0.09 0.20 0.09 9401.992 32
32 32 4778.881 0.04 0.10 0.04 4778.887 33
Thanks for your patience and time
Amal Elramly
________________________________
From: Amal Elramly <[email protected]>
To: MATPOWER discussion forum <[email protected]>
Sent: Sunday, December 9, 2012 11:06 AM
Subject: Fw: question
Dear Dr. Ray
Thanks very much for your support. I made use of the case file that you has
sent me and I have changed the values of BR_R and BR_X to per unit values
dividing them by Zbase and then the program converges after 5 iterations and I
think the results are reasonable. I will try to run optimal power flow.
Thanks
Amal Elramly
________________________________
From: Ray Zimmerman <[email protected]>
To: MATPOWER discussion forum <[email protected]>
Sent: Wednesday, November 28, 2012 6:16 PM
Subject: Re: question
Ok, I spent some time trying to get to something that converges …
- there is no reference bus (set bus type to 3 for bus 1)
- gencost format is incorrect, it should be polynomial (set first column to 2)
- the bus matrix is missing the VM column
If you fix these issues, then it is a valid, but infeasible problem. I believe
the infeasibility is related to voltage and reactive power. In case it is
useful, dividing BR_R by 1000, BR_X by 100 and setting RATE_A to 0 in the
branch matrix and dividing QD by 10 in the bus matrix, yields a feasible
problem. This may give you a useful starting point for this topology from which
to begin investigating where the unfeasibility comes from.
--
Ray Zimmerman
Senior Research Associate
419A Warren Hall, Cornell University, Ithaca, NY 14853
phone: (607) 255-9645
On Nov 28, 2012, at 3:47 AM, Amal Elramly <[email protected]> wrote:
Dr. Ray
>
>yes all lines have non-zero reactance
>The case file of the test bus system is attached below:
> system MVA basempc.baseMVA = 1;
>%% bus data
>% bus_i type Pd Qd Gs Bs Vm Va baseKV zone Vmax
>Vminmpc.bus = [
>1 2 0 0 0 0 1 0 12.6 1 1.05 0.95;
>2 1 0.1 0.06 0 0 1 0 12.6 1 1.1 0.95;
>3 1 0.09 0.04 0 0 1 0 12.6 1 1.05 0.95;
>4 1 0.12 0.08 0 0 1 0 12.6 1 1.05 0.95;
>5 1 0.06 0.03 0 0 1 0 12.6 1 1.05 0.95;
>6 1 0.06 0.02 0 0 1 0 12.6 1 1.05 0.95;
>7 1 0.2 0.1 0 0 1 0 12.6 1 1.05 0.95;
>8 1 0.2 0.1 0 0 1 0 12.6 1 1.05 0.95;
>9 1 0.06 0.02 0 0 1 0 12.6 1 1.05 0.95;
>10 1 0.06 0.02 0 0 1 0 12.6 1 1.05 0.95;
>11 1 0.045 0.03 0 0 1 0 12.6 1 1.05 0.95;
>12 1 0.06 0.035 0 0 1 0 12.6 1 1.05 0.95;
>13 1 0.06 0.035 0 0 1 0 12.6 1 1.1 0.95;
>14 1 0.12 0.08 0 0 1 0 12.6 1 1.05 0.95;
>15 1 0.06 0.01 0 0 1 0 12.6 1 1.05 0.95;
>16 1 0.06 0.02 0 0 1 0 12.6 1 1.05 0.95;
>17 1 0.06 0.02 0 0 1 0 12.6 1 1.05 0.95;
>18 1 0.09 0.04 0 0 1 0 12.6 1 1.05 0.95;
>19 1 0.09 0.04 0 0 1 0 12.6 1 1.05 0.95;
>20 1 0.09 0.04 0 0 1 0 12.6 1 1.05 0.95;
>21 1 0.09 0.04 0 0 1 0 12.6 1 1.05 0.95;
>22 1 0.09 0.04 0 0 1 0 12.6 1 1.1 0.95;
>23 1 0.42 0.05 0 0 1 0 12.6 1 1.1 0.95;
>24 1 0.42 0.2 0 0 1 0 12.6 1 1.05 0.95;
>25 1 0.06 0.2 0 0 1 0 12.6 1 1.05 0.95;
>26 1 0.06 0.025 0 0 1 0 12.6 1 1.05 0.95;
>27 1 0.06 0.025 0 0 1 0 12.6 1 1.1 0.95;
>28 1 0.12 0.02 0 0 1 0 12.6 1 1.05 0.95;
>29 1 0.2 0.07 0 0 1 0 12.6 1 1.05 0.95;
>30 1 0.15 0.6 0 0 1 0 12.6 1 1.05 0.95;
>31 1 0.21 0.07 0 0 1 0 12.6 1 1.05 0.95;
>32 1 0.06 0.1 0 0 1 0 12.6 1 1.05 0.95;
>33 1 0.06 0.04 0 0 1 0 12.6 1 1.05 0.95;
>];
>%% generator data
>% bus Pg Qg Qmax Qmin Vg mBase status Pmax Pmin Pc1 Pc2
>Qc1min Qc1max Qc2min Qc2max ramp_agc ramp_10 ramp_30 ramp_q apfmpc.gen
>= [
>1 0.5 0 1 -0.5 1 100 1 6 0 0 0 0 0 0 0 0 0 0
> 0 0;
>];%% branch data
>% fbus tbus r x b rateA rateB rateC ratio angle status
> angmin angmaxmpc.branch = [
>1 2 0.0922 0.0477 0 0.2 0.2 0.2 0 0 1 -360 360;
>2 3 0.493 0.2511 0 0.1 0.1 0.1 0 0 1 -360 360;
>3 4 0.3660 0.1864 0 0.2 0.2 0.2 0 0 1 -360 360;
>4 5 0.3811 0.1941 0 0.1 0.1 0.1 0 0 1 -360 360;
>5 6 0.8190 0.7070 0 0.1 0.1 0.1 0 0 1 -360 360;
>6 7 0.1872 0.6188 0 0.3 0.3 0.3 0 0 1 -360 360;
>7 8 1.7114 1.2351 0 0.3 0.3 0.3 0 0 1 -360 360;
>8 9 1.0300 0.7400 0 0.1 0.1 0.1 0 0 1 -360 360;
>9 10 1.0040 0.7400 0 0.1 0.1 0.1 0 0 1 -360 360;
>10 11 0.1966 0.0650 0 0.1 0.1 0.1 0 0 1 -360 360;
>11 12 0.3744 0.1238 0 0.1 0.1 0.1 0 0 1 -360 360;
>12 13 1.4680 1.1550 0 0.1 0.1 0.1 0 0 1 -360 360;
>13 14 0.5416 0.7129 0 0.2 0.2 0.2 0 0 1 -360 360;
>14 15 0.5910 0.5260 0 0.1 0.1 0.1 0 0 1 -360 360;
>15 16 0.7463 0.5450 0 0.1 0.1 0.1 0 0 1 -360 360;
>16 17 1.2890 1.7210 0 0.1 0.1 0.1 0 0 1 -360 360;
>17 18 0.7320 0.5740 0 0.1 0.1 0.1 0 0 1 -360 360;
>2 19 0.1640 0.1565 0 0.1 0.1 0.1 0 0 1 -360 360;
>19 20 1.5042 1.3554 0 0.1 0.1 0.1 0 0 1 -360 360;
>20 21 0.4095 0.4784 0 0.1 0.1 0.1 0 0 1 -360 360;
>21 22 0.7089 0.9373 0 0.1 0.1 0.1 0 0 1 -360 360;
>3 23 0.4512 0.3083 0 0.5 0.5 0.5 0 0 1 -360 360;
>23 24 0.8980 0.7091 0 0.5 0.5 0.5 0 0 1 -360 360;
>24 25 0.8960 0.7011 0 0.3 0.3 0.3 0 0 1 -360 360;
>6 26 0.2030 0.1034 0 0.1 0.1 0.1 0 0 1 -360 360;
>26 27 0.2842 0.1447 0 0.1 0.1 0.1 0 0 1 -360 360;
>27 28 1.0590 0.9337 0 0.2 0.2 0.2 0 0 1 -360 360;
>28 29 0.8042 0.7006 0 0.3 0.3 0.3 0 0 1 -360 360;
>29 30 0.5075 0.2585 0 0.7 0.7 0.7 0 0 1 -360 360;
>30 31 0.9744 0.9630 0 0.3 0.3 0.3 0 0 1 -360 360;
>31 32 0.3105 0.3619 0 0.2 0.2 0.2 0 0 1 -360 360;
>32 33 0.3410 0.5302 0 0.1 0.1 0.1 0 0 1 -360 360;
>];
>%%generator cost datampc.gencost = [
>1 0 0 3 0.02 2 0;
>];
>
>Amal Elramly
>
>
>
>________________________________
> From: Ray Zimmerman <[email protected]>
>To: MATPOWER discussion forum <[email protected]>
>Sent: Tuesday, November 27, 2012 4:52 PM
>Subject: Re: question
>
>
>Do all lines have non-zero reactance? Do you have a reference bus?
>
>
>--
>Ray Zimmerman
>Senior Research Associate
>419A Warren Hall, Cornell University, Ithaca, NY 14853
>phone: (607) 255-9645
>
>
>
>
>On Nov 27, 2012, at 3:20 AM, Amal Elramly <[email protected]> wrote:
>
>
>>
>>I have run power flow for 33 radial test bus system, but the it doesn't
>>converge and I do not know what is the problem
>>could you help me ?
>>Attached below the results of the program:
>>
>>
>>MATPOWER Version 4.1, 14-Dec-2011 -- AC Power Flow (Newton)
>>Warning: Matrix is singular to working precision.
>>> In newtonpf at 109
>> In runpf at 220
>>Warning: Matrix is singular
to working precision.
>>> In newtonpf at 109
>> In runpf at 220
>>Warning: Matrix is singular to working precision.
>>> In newtonpf at 109
>> In runpf at 220
>>Warning: Matrix is singular to working precision.
>>> In newtonpf at 109
>>
In runpf at 220
>>Warning: Matrix is singular to working precision.
>>> In newtonpf at 109
>> In runpf at 220
>>Warning: Matrix is singular to working precision.
>>> In newtonpf at 109
>> In runpf at 220
>>Warning: Matrix is singular to working precision.
>>
>>Newton's method power did not converge in 10 iterations.
>>Did not converge (0.09 seconds)
>>================================================================================
>>| System Summary
|
>>================================================================================
>>How many? How much? P (MW) Q (MVAr)
>>--------------------- ------------------- ------------- -----------------
>>Buses 33 Total Gen Capacity 6.0 -0.5 to 1.0
>>Generators 1 On-line Capacity 6.0 -0.5 to 1.0
>>Committed
Gens 1 Generation (actual) NaN NaN
>>Loads 32 Load 3.7 2.3
>> Fixed 32 Fixed 3.7 2.3
>> Dispatchable 0
Dispatchable -0.0 of -0.0 -0.0
>>Shunts 0 Shunt (inj) -0.0 0.0
>>Branches 32 Losses (I^2 * Z) NaN NaN
>>Transformers 0 Branch Charging (inj) - NaN
>>Inter-ties 0
Total Inter-tie Flow 0.0 0.0
>>Areas 1
>> Minimum Maximum
>> ------------------------- --------------------------------
>>Voltage Magnitude NaN p.u. @ bus 1 NaN p.u. @ bus 1
>>Voltage Angle NaN deg @ bus
1 NaN deg @ bus 1
>>P Losses (I^2*R) - NaN MW @ line 1-2
>>Q Losses (I^2*X) - NaN MVAr @ line 1-2
>>================================================================================
>>| Bus
Data |
>>================================================================================
>> Bus Voltage Generation Load
>> # Mag(pu) Ang(deg) P (MW) Q (MVAr) P (MW) Q (MVAr)
>>----- ------- -------- -------- -------- -------- --------
>> 1
NaN NaN NaN NaN - -
>> 2 NaN NaN - - 0.10 0.06
>> 3 NaN NaN - - 0.09 0.04
>> 4 NaN NaN - - 0.12
0.08
>> 5 NaN NaN - - 0.06 0.03
>> 6 NaN NaN - - 0.06 0.02
>> 7 NaN NaN - - 0.20 0.10
>> 8 NaN NaN -
- 0.20 0.10
>> 9 NaN NaN - - 0.06 0.02
>> 10 NaN NaN - - 0.06 0.02
>> 11 NaN NaN - - 0.04 0.03
>> 12 NaN NaN
- - 0.06 0.04
>> 13 NaN NaN - - 0.06 0.04
>> 14 NaN NaN - - 0.12 0.08
>> 15 NaN NaN - - 0.06 0.01
>> 16 NaN
NaN - - 0.06 0.02
>> 17 NaN NaN - - 0.06 0.02
>> 18 NaN NaN - - 0.09 0.04
>> 19 NaN NaN - - 0.09 0.04
>> 20
NaN NaN - - 0.09 0.04
>> 21 NaN NaN - - 0.09 0.04
>> 22 NaN NaN - - 0.09 0.04
>> 23 NaN NaN - - 0.42 0.05
>>
24 NaN NaN - - 0.42 0.20
>> 25 NaN NaN - - 0.06 0.20
>> 26 NaN NaN - - 0.06 0.03
>> 27 NaN NaN - - 0.06 0.03
>> 28 NaN NaN - - 0.12 0.02
>> 29 NaN NaN - - 0.20 0.07
>> 30 NaN NaN - - 0.15 0.60
>> 31 NaN NaN - -
0.21 0.07
>> 32 NaN NaN - - 0.06 0.10
>> 33 NaN NaN - - 0.06 0.04
>> -------- -------- -------- --------
>> Total: NaN NaN
3.69 2.30
>>================================================================================
>>| 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 NaN NaN NaN NaN NaN NaN
>> 2 2 3 NaN NaN NaN NaN NaN NaN
>> 3 3 4 NaN
NaN NaN NaN NaN NaN
>> 4 4 5 NaN NaN NaN NaN NaN NaN
>> 5 5 6 NaN NaN NaN NaN NaN NaN
>> 6 6 7 NaN
NaN NaN NaN NaN NaN
>> 7 7 8 NaN NaN NaN NaN NaN NaN
>> 8 8 9 NaN NaN NaN NaN NaN NaN
>> 9 9 10 NaN
NaN NaN NaN NaN NaN
>> 10 10 11 NaN NaN NaN NaN NaN NaN
>> 11 11 12 NaN NaN NaN NaN NaN NaN
>> 12 12 13 NaN NaN
NaN NaN NaN NaN
>> 13 13 14 NaN NaN NaN NaN NaN NaN
>> 14 14 15 NaN NaN NaN NaN NaN NaN
>> 15 15 16 NaN NaN NaN
NaN NaN NaN
>> 16 16 17 NaN NaN NaN NaN NaN NaN
>> 17 17 18 NaN NaN NaN NaN NaN NaN
>> 18 2 19 NaN NaN NaN NaN
NaN NaN
>> 19 19 20 NaN NaN NaN NaN NaN NaN
>> 20 20 21 NaN NaN NaN NaN NaN NaN
>> 21 21 22 NaN NaN NaN NaN NaN
NaN
>> 22 3 23 NaN NaN NaN NaN NaN NaN
>> 23 23 24 NaN NaN NaN NaN NaN NaN
>> 24 24 25 NaN NaN NaN NaN NaN NaN
>>
25 6 26 NaN NaN NaN NaN NaN NaN
>> 26 26 27 NaN NaN NaN NaN NaN NaN
>> 27 27 28 NaN NaN NaN NaN NaN NaN
>> 28
28 29 NaN NaN NaN NaN NaN NaN
>> 29 29 30 NaN NaN NaN NaN NaN NaN
>> 30 30 31 NaN NaN NaN NaN NaN NaN
>> 31 31
32 NaN NaN NaN NaN NaN NaN
>> 32 32 33 NaN NaN NaN NaN NaN NaN
>> --------
--------
>> Total: NaN NaN
>>
>>
>>Amal Elramly
>>
>>
>>
>
>
>
