Ok, the picture helps. As long as branches 15, 21 and 26 are open, then you 
essentially have 3 separate disconnected radial systems. I’m not sure the 
radial power flow algorithms recently added to MATPOWER are capable of handling 
them as a single case. The standard Newton-Raphson power flow, on the other 
hand should be able to handle them just fine as long as each substation bus is 
specified as type REF.

If, on the other hand, those branches are closed, creating a meshed system, you 
will need to convert the extra REF buses to PV, so that you only have a single 
REF bus per island.

You can always use extract_islands() to pull out the radial sub-networks and 
then solve them using the radial power flow algorithms, but there isn’t an 
automated way to combine the solve cases back together.

   Ray




> On May 31, 2017, at 9:27 AM, Andrey Vieira <[email protected]> wrote:
> 
> Mr. Ray, that's exactly it. I will try to exemplify the question again using 
> the 16 buses radial system. In this system, there are 3 bars (3 substations) 
> that provide the power for the entire electrical network. This system 
> consists of three feeders. With this, there is one substation for each feeder.
> 
> <pastedImage.png>
> My question is can I consider all the substation bars (1,2 and 3) as 
> generation bars (PV)? For this consideration, the radial system will be 
> considered as a meshed system. See example below.
> With this, the radial distribution system of 16 buses will be considered as a 
> meshed system. With this, the results will be affected?
> 
> TCL MERGE ERROR ( 05/31/2017 14:13:23 ): "extra characters after close-quote"
OutmailID: 121571508, List: 'matpower-l', MemberID: 75174736
SCRIPT: "bus data > % bus type  Pd   Qd   Gs  Bs area  Vm  Va baseKV  zone  
Vmax  Vmin > mpc.bus = [ >    1    3   0.0  0.0  0   0   1    1.00 0   11 1   
1.05   0.950; >    2    3   0.0  0.0  0   0   1    1.00 0   11 1   1.05   
0.950; >    3    3   0.0  0.0  0   0   1    1.00 0   11 1   1.05   0.950; >    
4    1   2.0  1.6  0   0   1    1.00 0   11 1   1.05   0.950; >    5    1   3.0 
 1.5  0   1.1 1    1.00 0   11 1   1.05   0.950; >    6    1   2.0  0.8  0   
1.2 1    1.00 0   11 1   1.05   0.950; >    7    1   1.5  0.2  0   0   1    
1.00 0   11 1   1.05   0.950; >    8    1   4.0  2.7  0   0   1    1.00 0   11 
1   1.05   0.950; >    9    1   5.0  3.0  0   1.2 1    1.00 0   11 1   1.05   
0.950; >   10    1   1.0  0.9  0   0   1    1.00 0   11 1   1.05   0.950; >   
11    1   0.6  0.1  0   0.6 1    1.00 0   11 1   1.05   0.950; >   12    1   
4.5  2.0  0   3.7 1    1.00 0   11 1   1.05   0.950; >   13    1   1.0  0.9  0  
 0   1    1.00 0   11 1   1.05   0.950; >   14    1   1.0  0.7  0   1.8  1   
1.00 0   11 1   1.05   0.950; >   15    1   1.0  0.9  0   0    1   1.00 0   11 
1   1.05   0.950; >   16    1   2.1  1.0  0   1.8  1   1.00 0   11 1   1.05   
0.950; >     ]; >  >  > Or should I always consider a reference bar (for 
example, bar 1) and the other two as generation bar (bars 2 and 3)? >  > De: 
[email protected] 
<mailto:[email protected]> 
<[email protected] 
<mailto:[email protected]>> em nome de Ray Zimmerman 
<[email protected] <mailto:[email protected]>> > Enviado: terça-feira, 30 de maio 
de 2017 20:17 > Para: MATPOWER discussion forum > Assunto: Re: How to indicate 
in MATPOWER the use of several substations in the cases of radial distribution 
systems? >   > I’m not sure I understand what you mean by a radial system with 
more than one substation. You definitely don’t want to set multiple buses of 
type REF, though you could use type PV for all but one of the substations, but 
that is equivalent to turning a radial system into a meshed system. >  >     
Ray >  >  >> On May 26, 2017, at 10:27 AM, Andrey Vieira <[email protected] 
<mailto:[email protected]>> wrote: >>  >> Hi All! I have a question about 
the use of several substation bars in the case of radial distribution systems 
with more than one substation. >> Examples: >>   A) Case 16 buses : it has 3 
substations; >>   B) Case 135 buses: it has 2 substations; >>   C) Case 84 
buses : it has 11 substations. >>     >> In the case of 84 buses, for example, 
can I identify all substation buses with different numberings and indicate that 
all 11 buses are of  >> type 3 in the mpc.bus matrix? Instead of numbering all 
11 with the same number (1 for exemplo)? >>  >> Can anybody advice on 
representation these sources in MATPOWER? >>  >> Andrey R Vieira   
--Apple-Mail=_F1BE48AE-45AF-4CD2-B376-C65A823254A5 Content-Transfer-Encoding: 
quoted-printable Content-Type: text/html;     charset="utf-8"  
<html><head><meta http-equiv="Content-Type" content="text/html 
charset=utf-8"></head><body style="word-wrap: break-word; -webkit-nbsp-mode: 
space; -webkit-line-break: after-white-space;" class="">Ok, the picture helps. 
As long as branches 15, 21 and 26 are open, then you essentially have 3 
separate disconnected radial systems. I’m not sure the radial power flow 
algorithms recently added to MATPOWER are capable of handling them as a single 
case. The standard Newton-Raphson power flow, on the other hand should be able 
to handle them just fine as long as each substation bus is specified as type 
<font face="Courier" class="">REF</font>.<div class=""><br class=""></div><div 
class="">If, on the other hand, those branches are closed, creating a meshed 
system, you will need to convert the extra&nbsp;<span style="font-family: 
Courier;" class="">REF</span>&nbsp;buses to <font face="Courier" 
class="">PV</font>, so that you only have a single&nbsp;<span 
style="font-family: Courier;" class="">REF</span>&nbsp;bus per 
island.</div><div class=""><br class=""></div><div class="">You can always use 
<font face="Courier" class="">extract_islands()</font> to pull out the radial 
sub-networks and then solve them using the radial power flow algorithms, but 
there isn’t an automated way to combine the solve cases back 
together.</div><div class=""><br class=""></div><div class="">&nbsp; 
&nbsp;Ray</div><div class=""><br class=""><div class=""><br class=""><div 
class=""><br class=""><div class=""><br class=""><div><blockquote type="cite" 
class=""><div class="">On May 31, 2017, at 9:27 AM, Andrey Vieira &lt;<a 
href="mailto:[email protected]"; class="">[email protected]</a>&gt; 
wrote:</div><br class="Apple-interchange-newline"><div class=""><div 
id="divtagdefaultwrapper" dir="ltr" style="font-style: normal; 
font-variant-caps: normal; font-weight: normal; letter-spacing: normal; 
text-align: start; text-indent: 0px; text-transform: none; white-space: normal; 
word-spacing: 0px; -webkit-text-stroke-width: 0px; font-size: 14pt; 
font-family: Calibri, Arial, Helvetica, sans-serif;" class=""><div 
style="margin-top: 0px; margin-bottom: 0px;" class=""><span id="result_box" 
class="" lang="en"><span class="">Mr. Ray, that's exactly it.</span><span 
class="Apple-converted-space">&nbsp;</span><span class="">I will try to 
exemplify the question again using the 16 buses radial system.</span><span 
class="Apple-converted-space">&nbsp;</span><span class="">In this system, there 
are 3 bars (3 substations) that provide the power for the entire electrical 
network.</span><span class="Apple-converted-space">&nbsp;</span><span 
class="">This system consists of three feeders.</span><span 
class="Apple-converted-space">&nbsp;</span><span class="">With this, there is 
one substation for each feeder.</span></span></div><div style="margin-top: 0px; 
margin-bottom: 0px;" class=""><span id="result_box" class="" lang="en"><span 
class=""><br class=""></span></span></div><div style="margin-top: 0px; 
margin-bottom: 0px;" class=""><span id="result_box" class="" lang="en"><span 
class=""><span 
id="cid:75f08e88-f6da-460a-8a51-83b014a765ec">&lt;pastedImage.png&gt;</span><br 
class=""></span></span></div><div style="margin-top: 0px; margin-bottom: 0px;" 
class=""><span id="result_box" class="" lang="en"><span 
class=""></span></span><span id="result_box" class="" lang="en"><span 
class="">My question is can I consider all the substation bars (1,2 and 3) as 
generation bars (PV)?</span><span 
class="Apple-converted-space">&nbsp;</span><span class="">For this 
consideration, the radial system will be considered as a meshed system. See 
example below.</span></span><br class=""></div><div style="margin-top: 0px; 
margin-bottom: 0px;" class=""><span id="result_box" class="" lang="en"><span 
class="">With this, the radial distribution system of 16 buses will be 
considered as a meshed system.</span><span 
class="Apple-converted-space">&nbsp;</span><span class="">With this, the 
results will be affected?</span></span><br class=""></div><div 
style="margin-top: 0px; margin-bottom: 0px;" class=""><br class=""></div><div 
id="Signature" class=""><div class=""><div style="margin-top: 0px; 
margin-bottom: 0.0001pt; line-height: normal;" class=""><span style="font-size: 
10pt; font-family: 'Courier New'; color: forestgreen;" class="">"
 bus data</span><span style="font-size: 12pt; font-family: 'Courier New';" 
class=""></span></div><div style="margin-top: 0px; margin-bottom: 0.0001pt; 
line-height: normal;" class=""><span style="font-size: 10pt; font-family: 
'Courier New'; color: forestgreen;" class="">% bus type<span 
class="">&nbsp;<span class="Apple-converted-space">&nbsp;</span></span>Pd<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>Qd<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>Gs<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>Bs area<span 
class="Apple-converted-space">&nbsp;</span><span class="">&nbsp;</span>Vm<span 
class="">&nbsp;<span class="Apple-converted-space">&nbsp;</span></span>Va 
baseKV<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>zone<span 
class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;</span>Vmax<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>Vmin</span><span 
style="font-size: 12pt; font-family: 'Courier New';" class=""></span></div><div 
style="margin-top: 0px; margin-bottom: 0.0001pt; line-height: normal;" 
class=""><span style="font-size: 10pt; font-family: 'Courier New';" 
class="">mpc.bus = [</span><span style="font-size: 12pt; font-family: 'Courier 
New';" class=""></span></div><div style="margin-top: 0px; margin-bottom: 
0.0001pt; line-height: normal;" class=""><span style="font-size: 10pt; 
font-family: 'Courier New';" class=""><span class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1<span 
class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;</span><span class="">&nbsp;</span>3<span 
class="">&nbsp;<span class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>0.0<span class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;</span>0.0<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1<span 
class="">&nbsp;&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.00 0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>11<span class=""><span 
class="Apple-converted-space">&nbsp;</span></span>1<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>1.05<span class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0.950;</span><span 
style="font-size: 12pt; font-family: 'Courier New';" class=""></span></div><div 
style="margin-top: 0px; margin-bottom: 0.0001pt; line-height: normal;" 
class=""><span style="font-size: 10pt; font-family: 'Courier New';" 
class=""><span class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>2<span 
class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;&nbsp;</span>3<span class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0.0<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0.0<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1<span 
class="">&nbsp;&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.00 0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>11<span class=""><span 
class="Apple-converted-space">&nbsp;</span></span>1<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.05<span 
class="Apple-converted-space">&nbsp;</span><span class="">&nbsp;</span><span 
class="">&nbsp;</span>0.950;</span><span style="font-size: 12pt; font-family: 
'Courier New';" class=""></span></div><div style="margin-top: 0px; 
margin-bottom: 0.0001pt; line-height: normal;" class=""><span style="font-size: 
10pt; font-family: 'Courier New';" class=""><span class="">&nbsp;</span><span 
class="">&nbsp;<span class="Apple-converted-space">&nbsp;</span></span>3<span 
class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;&nbsp;</span>3<span class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0.0<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0.0<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>1<span class="">&nbsp;&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.00 0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>11<span class=""><span 
class="Apple-converted-space">&nbsp;</span></span>1<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>1.05<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>0.950;</span><span style="font-size: 12pt; font-family: 
'Courier New';" class=""></span></div><div style="margin-top: 0px; 
margin-bottom: 0.0001pt; line-height: normal;" class=""><span style="font-size: 
10pt; font-family: 'Courier New';" class=""><span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>4<span class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;&nbsp;</span>1<span 
class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;</span>2.0<span 
class="Apple-converted-space">&nbsp;</span><span class="">&nbsp;</span>1.6<span 
class="">&nbsp;<span class="Apple-converted-space">&nbsp;</span></span>0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0<span 
class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;</span>1<span class="">&nbsp;&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.00 0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>11<span class=""><span 
class="Apple-converted-space">&nbsp;</span></span>1<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.05<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0.950;</span><span 
style="font-size: 12pt; font-family: 'Courier New';" class=""></span></div><div 
style="margin-top: 0px; margin-bottom: 0.0001pt; line-height: normal;" 
class=""><span style="font-size: 10pt; font-family: 'Courier New';" 
class=""><span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>5<span class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;&nbsp;</span>1<span 
class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;</span>3.0<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.5<span 
class="Apple-converted-space">&nbsp;</span><span class="">&nbsp;</span>0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.1 1<span 
class="">&nbsp;&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.00 0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>11<span class=""><span 
class="Apple-converted-space">&nbsp;</span></span>1<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.05<span 
class="">&nbsp;<span class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>0.950;</span><span style="font-size: 12pt; font-family: 
'Courier New';" class=""></span></div><div style="margin-top: 0px; 
margin-bottom: 0.0001pt; line-height: normal;" class=""><span style="font-size: 
10pt; font-family: 'Courier New';" class=""><span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>6<span class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;&nbsp;</span>1<span 
class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;</span>2.0<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0.8<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.2 1<span 
class="">&nbsp;&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.00 0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>11<span class=""><span 
class="Apple-converted-space">&nbsp;</span></span>1<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>1.05<span 
class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;</span>0.950;</span><span style="font-size: 12pt; 
font-family: 'Courier New';" class=""></span></div><div style="margin-top: 0px; 
margin-bottom: 0.0001pt; line-height: normal;" class=""><span style="font-size: 
10pt; font-family: 'Courier New';" class=""><span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>7<span class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;&nbsp;</span>1<span 
class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;</span>1.5<span 
class="Apple-converted-space">&nbsp;</span><span class="">&nbsp;</span>0.2<span 
class="Apple-converted-space">&nbsp;</span><span class="">&nbsp;</span>0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>1<span class="">&nbsp;&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.00 0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>11<span class=""><span 
class="Apple-converted-space">&nbsp;</span></span>1<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>1.05<span class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0.950;</span><span 
style="font-size: 12pt; font-family: 'Courier New';" class=""></span></div><div 
style="margin-top: 0px; margin-bottom: 0.0001pt; line-height: normal;" 
class=""><span style="font-size: 10pt; font-family: 'Courier New';" 
class=""><span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>8<span class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;&nbsp;</span>1<span 
class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;</span>4.0<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>2.7<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>1<span class="">&nbsp;&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.00 0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>11<span class=""><span 
class="Apple-converted-space">&nbsp;</span></span>1<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>1.05<span class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0.950;</span><span 
style="font-size: 12pt; font-family: 'Courier New';" class=""></span></div><div 
style="margin-top: 0px; margin-bottom: 0.0001pt; line-height: normal;" 
class=""><span style="font-size: 10pt; font-family: 'Courier New';" 
class=""><span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>9<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span><span class="">&nbsp;</span>1<span 
class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;</span>5.0<span 
class="Apple-converted-space">&nbsp;</span><span class="">&nbsp;</span>3.0<span 
class="">&nbsp;<span class="Apple-converted-space">&nbsp;</span></span>0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.2 1<span 
class="">&nbsp;&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.00 0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>11<span class=""><span 
class="Apple-converted-space">&nbsp;</span></span>1<span 
class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;</span>1.05<span 
class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;</span>0.950;</span><span style="font-size: 12pt; 
font-family: 'Courier New';" class=""></span></div><div style="margin-top: 0px; 
margin-bottom: 0.0001pt; line-height: normal;" class=""><span style="font-size: 
10pt; font-family: 'Courier New';" class=""><span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>10<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>1<span class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.0<span 
class="Apple-converted-space">&nbsp;</span><span class="">&nbsp;</span>0.9<span 
class="">&nbsp;<span class="Apple-converted-space">&nbsp;</span></span>0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>1<span class="">&nbsp;&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.00 0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>11<span class=""><span 
class="Apple-converted-space">&nbsp;</span></span>1<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>1.05<span class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0.950;</span><span 
style="font-size: 12pt; font-family: 'Courier New';" class=""></span></div><div 
style="margin-top: 0px; margin-bottom: 0.0001pt; line-height: normal;" 
class=""><span style="font-size: 10pt; font-family: 'Courier New';" 
class=""><span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>11<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;&nbsp;</span>1<span 
class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;</span>0.6<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0.1<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0.6 1<span 
class="">&nbsp;&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.00 0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>11<span class=""><span 
class="Apple-converted-space">&nbsp;</span></span>1<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.05<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0.950;</span><span 
style="font-size: 12pt; font-family: 'Courier New';" class=""></span></div><div 
style="margin-top: 0px; margin-bottom: 0.0001pt; line-height: normal;" 
class=""><span style="font-size: 10pt; font-family: 'Courier New';" 
class=""><span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>12<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>1<span class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;</span>4.5<span 
class="Apple-converted-space">&nbsp;</span><span class="">&nbsp;</span>2.0<span 
class="">&nbsp;<span class="Apple-converted-space">&nbsp;</span></span>0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>3.7 1<span 
class="">&nbsp;&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.00 0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>11<span class=""><span 
class="Apple-converted-space">&nbsp;</span>1</span><span class=""><span 
class="Apple-converted-space">&nbsp;</span>&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class=""></span>1.05<span class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0.950;</span><span 
style="font-size: 12pt; font-family: 'Courier New';" class=""></span></div><div 
style="margin-top: 0px; margin-bottom: 0.0001pt; line-height: normal;" 
class=""><span style="font-size: 10pt; font-family: 'Courier New';" 
class=""><span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>13<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>1<span class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;</span>1.0<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0.9<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>1<span class="">&nbsp;&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.00 0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>11<span class=""><span 
class="Apple-converted-space">&nbsp;</span></span>1<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>1.05<span 
class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;</span>0.950;</span><span style="font-size: 12pt; 
font-family: 'Courier New';" class=""></span></div><div style="margin-top: 0px; 
margin-bottom: 0.0001pt; line-height: normal;" class=""><span style="font-size: 
10pt; font-family: 'Courier New';" class=""><span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>14<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>1<span class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;</span>1.0<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0.7<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.8<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.00 0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>11<span class=""><span 
class="Apple-converted-space">&nbsp;</span></span>1<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>1.05<span class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0.950;</span><span 
style="font-size: 12pt; font-family: 'Courier New';" class=""></span></div><div 
style="margin-top: 0px; margin-bottom: 0.0001pt; line-height: normal;" 
class=""><span style="font-size: 10pt; font-family: 'Courier New';" 
class=""><span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>15<span 
class="">&nbsp;&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1<span 
class="Apple-converted-space">&nbsp;</span><span 
class="">&nbsp;&nbsp;</span>1.0<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0.9<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0<span 
class="">&nbsp;&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.00 0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>11<span class=""><span 
class="Apple-converted-space">&nbsp;</span></span>1<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>1.05<span class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0.950;</span><span 
style="font-size: 12pt; font-family: 'Courier New';" class=""></span></div><div 
style="margin-top: 0px; margin-bottom: 0.0001pt; line-height: normal;" 
class=""><span style="font-size: 10pt; font-family: 'Courier New';" 
class=""><span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>16<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>1<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>2.1<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.0<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0<span 
class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1.8<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>1<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>1.00 0<span class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>11<span class=""><span 
class="Apple-converted-space">&nbsp;</span></span>1<span class="">&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><span 
class="">&nbsp;</span>1.05<span class="">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>0.950;</span><span 
style="font-size: 12pt; font-family: 'Courier New';" class=""></span></div><div 
style="margin-top: 0px; margin-bottom: 0.0001pt; line-height: normal;" 
class=""><span style="font-size: 10pt; font-family: 'Courier New';" 
class=""><span class="">&nbsp;&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span>];</span><span 
style="font-size: 12pt; font-family: 'Courier New';" 
class=""></span></div></div><br class=""><div id="divtagdefaultwrapper" 
style="font-size: 14pt; background-color: rgb(255, 255, 255); font-family: 
Calibri, Arial, Helvetica, sans-serif, EmojiFont, 'Apple Color Emoji', 'Segoe 
UI Emoji', NotoColorEmoji, 'Segoe UI Symbol', 'Android Emoji', EmojiSymbols;" 
class=""><div class=""><span style="color: rgb(34, 34, 34); font-family: arial; 
font-size: 10pt;" class=""><br class=""></span></div><span style="color: 
rgb(34, 34, 34); font-family: arial; font-size: 10pt;" 
class=""></span></div></div><span id="result_box" class="" lang="en"><span 
class="">Or should I always consider a reference bar (for example, bar 1) and 
the other two as generation bar (bars 2 and 3)?</span></span><br class=""><br 
class=""><div style="" class=""><hr tabindex="-1" style="display: inline-block; 
width: 1043.6875px;" class=""><div id="divRplyFwdMsg" dir="ltr" class=""><font 
face="Calibri, sans-serif" style="font-size: 11pt;" class=""><b 
class="">De:</b><span class="Apple-converted-space">&nbsp;</span><a 
href="mailto:[email protected]"; 
class="">[email protected]</a><span 
class="Apple-converted-space">&nbsp;</span>&lt;<a 
href="mailto:[email protected]"; 
class="">[email protected]</a>&gt; em nome de Ray 
Zimmerman &lt;<a href="mailto:[email protected]"; 
class="">[email protected]</a>&gt;<br class=""><b class="">Enviado:</b><span 
class="Apple-converted-space">&nbsp;</span>terça-feira, 30 de maio de 2017 
20:17<br class=""><b class="">Para:</b><span 
class="Apple-converted-space">&nbsp;</span>MATPOWER discussion forum<br 
class=""><b class="">Assunto:</b><span 
class="Apple-converted-space">&nbsp;</span>Re: How to indicate in MATPOWER the 
use of several substations in the cases of radial distribution 
systems?</font><div class="">&nbsp;</div></div><div class="">I’m not sure I 
understand what you mean by a radial system with more than one substation. You 
definitely don’t want to set multiple buses of type REF, though you could use 
type PV for all but one of the substations, but that is equivalent to turning a 
radial system into a meshed system.<div class=""><br class=""></div><div 
class="">&nbsp; &nbsp; Ray</div><div class=""><br class=""><div class=""><br 
class=""><div class=""><blockquote type="cite" class=""><div class="">On May 
26, 2017, at 10:27 AM, Andrey Vieira &lt;<a href="mailto:[email protected]"; 
class="">[email protected]</a>&gt; wrote:</div><br 
class="Apple-interchange-newline"><div class=""><div id="divtagdefaultwrapper" 
dir="ltr" class="" style="font-style: normal; font-weight: normal; 
letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: 
none; white-space: normal; word-spacing: 0px; font-size: 14pt; font-family: 
Calibri, Arial, Helvetica, sans-serif;"><p class="" style="margin-top: 0px; 
margin-bottom: 0px;"></p><div class=""><span class="" style="font-size: 12pt; 
font-family: 'Times New Roman', Times, serif;">Hi All! I have a question about 
the use of several substation bars in the case of radial distribution systems 
with more than one substation.</span><br class=""><span class="" 
style="font-size: 12pt; font-family: 'Times New Roman', Times, 
serif;">Examples:</span><br class=""><span class="" style="font-size: 12pt; 
font-family: 'Times New Roman', Times, serif;">&nbsp; A) Case 16 buses : it has 
3 substations;</span><br class=""><span class="" style="font-size: 12pt; 
font-family: 'Times New Roman', Times, serif;">&nbsp; B) Case 135 buses: it has 
2 substations;</span><br class=""><span class="" style="font-size: 12pt; 
font-family: 'Times New Roman', Times, serif;">&nbsp; C) Case 84 buses : it has 
11 substations.</span><br class=""><span class="" style="font-size: 12pt; 
font-family: 'Times New Roman', Times, serif;">&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span><br class=""><span class="" 
style="font-size: 12pt; font-family: 'Times New Roman', Times, serif;">In the 
case of 84 buses, for example, can I identify all substation buses with 
different numberings and indicate that all 11 buses are of<span 
class="Apple-converted-space">&nbsp;</span></span><br class=""><span class="" 
style="font-size: 12pt; font-family: 'Times New Roman', Times, serif;">type 3 
in the mpc.bus matrix? Instead of numbering all 11 with the same number (1 for 
exemplo)?</span><br class=""><br class=""><span class="" style="font-size: 
12pt; font-family: 'Times New Roman', Times, serif;">Can anybody advice on 
representation these sources in MATPOWER?</span></div><p class="" 
style="margin-top: 0px; margin-bottom: 0px;"></p><div class="" 
style="margin-top: 0px; margin-bottom: 0px;"><br class=""></div><div class="" 
style="margin-top: 0px; margin-bottom: 0px;">Andrey R 
Vieira</div></div></div></blockquote></div></div></div></div></div></div></div></blockquote></div><br
 class=""></div></div></div></div></body></html>

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