Re: 3-winders

Wed, 06 Jan 2021 08:57:19 -0800 

The psse2mpc() function includes support for 3 winding transformers. I didn’t 
write the code, and don’t remember the details, but it does convert a 3-winding 
transformer into multiple 2-winding transformers.

As far as wye vs. delta connected transformers, each must be converted into a 
single-phase equivalent model that can be used in MATPOWER. I believe the 
different connections really only have to be handled explicitly if you are 
using a 3-phase unbalanced model.

    Ray


On Jan 5, 2021, at 2:41 PM, Russ Patterson 
<r...@relayman.org<mailto:r...@relayman.org>> wrote:

Hi – I want to model a 3-winding transformer having a generator on each 
secondary.
<image002.png>

I think I can simply model this as 3 branches using the “pair-wise” impedance 
data from the transformer test report (<image004.png>).  I labeled them 
<image011.png> below to match my bus numbers.

For example, with the pair-wise data (on 100MVA) given below I would have this 
model in MATPOWER:

"
OutmailID: 125269858, List: 'matpower-l', MemberID: 82861091
SCRIPT: "branch data
 %            fbus       tbus         r                  x            b         
   rateA  rateB     rateC     ratio      angle    status     angmin             
    angmax
                    1             2            0.01           0.10        0     
           0           0             0              1               0           
   1                 0                            0;
                    1             3            0.01           0.11        0     
           0           0             0              1               0           
   1                 0                            0;
                    2             3            0.04           0.76        0     
           0           0             0              1               0           
   1                 0                            0;
 <image012.png>
 
 
 
 Questions:
 
 A)     Is that a correct way to model the three-winding transformer for 
MATPOWER load flow?
 
 B)      How to you accommodate transformer winding arrangements (e.g. wye vs. 
delta connected) in MATPOWER?
 
 Best regards,
 russ
 
  --_000_C69313D338854A0F960B540CA8651166cornelledu_ Content-Type: text/html; 
charset="utf-8" Content-ID: 
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 The psse2mpc() function includes support for 3 winding transformers. I didn’t 
write the code, and don’t remember the details, but it does convert a 3-winding 
transformer into multiple 2-winding transformers.
 <div class=""><br class="">
 </div>
 <div class="">As far as wye vs. delta connected transformers, each must be 
converted into a single-phase equivalent model that can be used in MATPOWER. I 
believe the different connections really only have to be handled explicitly if 
you are using a 3-phase
  unbalanced model.</div>
 <div class=""><br class="">
 </div>
 <div class="">&nbsp; &nbsp; Ray</div>
 <div class=""><br class="">
 <div><br class="">
 <blockquote type="cite" class="">
 <div class="">On Jan 5, 2021, at 2:41 PM, Russ Patterson &lt;<a 
href="mailto:r...@relayman.org"; class="">r...@relayman.org</a>&gt; wrote:</div>
 <br class="Apple-interchange-newline">
 <div class="">
 <div class="WordSection1" style="page: WordSection1; caret-color: rgb(0, 0, 
0); font-family: Helvetica; font-size: 12px; 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; text-decoration: none;">
 <div style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, 
sans-serif;" class="">
 Hi – I want to model a 3-winding transformer having a generator on each 
secondary.&nbsp;<span class="Apple-converted-space">&nbsp;</span><o:p 
class=""></o:p></div>
 <div style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, 
sans-serif;" class="">
 <span id="cid:image002.png@01D6E379.3E693AC0">&lt;image002.png&gt;</span><o:p 
class=""></o:p></div>
 <div style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, 
sans-serif;" class="">
 <o:p class="">&nbsp;</o:p></div>
 <div style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, 
sans-serif;" class="">
 I think I can simply model this as 3<span 
class="Apple-converted-space">&nbsp;</span><b class="">branches</b><span 
class="Apple-converted-space">&nbsp;</span>using the “pair-wise” impedance data 
from the transformer test report (<span style="font-size: 11pt; font-family: 
Calibri, sans-serif; position: relative; top: 2.5pt;" class=""><span 
id="cid:image004.png@01D6E379.3E693AC0">&lt;image004.png&gt;</span></span>).&nbsp;
  I labeled them<span class="Apple-converted-space">&nbsp;</span><span 
style="font-size: 11pt; font-family: Calibri, sans-serif; position: relative; 
top: 3pt;" class=""><span 
id="cid:image011.png@01D6E379.3E693AC0">&lt;image011.png&gt;</span></span><span 
class="Apple-converted-space">&nbsp;</span>below
  to match my bus numbers.&nbsp;<span 
class="Apple-converted-space">&nbsp;</span><o:p class=""></o:p></div>
 <div style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, 
sans-serif;" class="">
 <o:p class="">&nbsp;</o:p></div>
 <div style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, 
sans-serif;" class="">
 For example, with the pair-wise data (on 100MVA) given below I would have this 
model in MATPOWER:<o:p class=""></o:p></div>
 <div style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, 
sans-serif;" class="">
 <o:p class="">&nbsp;</o:p></div>
 <div style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, 
sans-serif;" class="">"
TCL MERGE ERROR ( 01/06/2021 11:57:14 ): "extra characters after close-quote 
branch data<o:p class=""></o:p></div>
<div style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, 
sans-serif;" class="">
%&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
fbus&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
tbus&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp; 
r&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; x&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
&nbsp;&nbsp;&nbsp; b&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
&nbsp;&nbsp; rateA&nbsp; rateB&nbsp;&nbsp;&nbsp;&nbsp; 
rateC&nbsp;&nbsp;&nbsp;&nbsp; ratio&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
angle&nbsp;&nbsp;&nbsp; status&nbsp;&nbsp; &nbsp; 
angmin&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
 &nbsp; angmax<o:p class=""></o:p></div>
<div style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, 
sans-serif;" class="">
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0.01&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0.10&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0
 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1&nbsp;&nbsp;&nbsp;
 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0&nbsp;&nbsp;&nbsp;&nbsp;
 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0&nbsp;&nbsp;
 
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 class=""></o:p></div>
<div style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, 
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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;3&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0.01&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0.11&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0
 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1&nbsp;&nbsp;&nbsp;
 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0&nbsp;&nbsp;&nbsp;&nbsp;
 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0&nbsp;&nbsp;
 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0;<o:p
 class=""></o:p></div>
<div style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, 
sans-serif;" class="">
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;2&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;3&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0.04&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0.76&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0
 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1&nbsp;&nbsp;&nbsp;
 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0&nbsp;&nbsp;&nbsp;&nbsp;
 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;1&nbsp; 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0&nbsp;&nbsp;
 
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;0;<o:p
 class=""></o:p></div>
<div style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, 
sans-serif;" class="">
<span id="cid:image012.png@01D6E379.3E693AC0">&lt;image012.png&gt;</span><o:p 
class=""></o:p></div>
<div style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, 
sans-serif;" class="">
<o:p class="">&nbsp;</o:p></div>
<div style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, 
sans-serif;" class="">
<o:p class="">&nbsp;</o:p></div>
<div style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, 
sans-serif;" class="">
<o:p class="">&nbsp;</o:p></div>
<div style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, 
sans-serif;" class="">
<b class=""><span style="background-color: lime; background-position: initial 
initial; background-repeat: initial initial;" class="">Questions:</span><o:p 
class=""></o:p></b></div>
<div style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, 
sans-serif;" class="">
<o:p class="">&nbsp;</o:p></div>
<div style="margin: 0in 0in 0.0001pt 22.5pt; font-size: 11pt; font-family: 
Calibri, sans-serif; text-indent: -0.25in;" class="">
<span class="">A)<span style="font-style: normal; font-variant-caps: normal; 
font-weight: normal; font-stretch: normal; font-size: 7pt; line-height: normal; 
font-family: &quot;Times New Roman&quot;;" 
class="">&nbsp;&nbsp;&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span></span>Is
 that a correct way to model the three-winding transformer for MATPOWER load 
flow?<o:p class=""></o:p></div>
<div style="margin: 0in 0in 0.0001pt 22.5pt; font-size: 11pt; font-family: 
Calibri, sans-serif;" class="">
<o:p class="">&nbsp;</o:p></div>
<div style="margin: 0in 0in 0.0001pt 22.5pt; font-size: 11pt; font-family: 
Calibri, sans-serif; text-indent: -0.25in;" class="">
<span class="">B)<span style="font-style: normal; font-variant-caps: normal; 
font-weight: normal; font-stretch: normal; font-size: 7pt; line-height: normal; 
font-family: &quot;Times New Roman&quot;;" 
class="">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<span 
class="Apple-converted-space">&nbsp;</span></span></span>How
 to you accommodate transformer winding arrangements (e.g. wye vs. delta 
connected) in MATPOWER?<o:p class=""></o:p></div>
<div style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, 
sans-serif;" class="">
<o:p class="">&nbsp;</o:p></div>
<div style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, 
sans-serif;" class="">
Best regards,<o:p class=""></o:p></div>
<div style="margin: 0in 0in 0.0001pt; font-size: 11pt; font-family: Calibri, 
sans-serif;" class="">
russ</div>
</div>
</div>
</blockquote>
</div>
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--
  • 3-winders Russ Patterson
    • Re: 3-winders Ray Daniel Zimmerman

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