Dr. Ray
 
yes all lines have non-zero reactance 
The case file of the test bus system is attached below: system MVA base
mpc.baseMVA = 1;
%% bus data%   bus_i   type    Pd  Qd  Gs  Bs      Vm  Va  baseKV  zone    Vmax 
   Vmin
mpc.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  apf
mpc.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  angmax
mpc.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
>
>
> 

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