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 data
> mpc.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
>> 
>>  
> 
> 
> 

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