Power System Security Analysis With Renewable Energy ... - IIT Mandi
Power System Security Analysis With Renewable Energy ... - IIT Mandi
Power System Security Analysis With Renewable Energy ... - IIT Mandi
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Model of Photovoltaic <strong>System</strong>s, Contd.<br />
• DC part model<br />
I<br />
cell<br />
=<br />
d(<br />
VI)<br />
dV<br />
I<br />
L<br />
mpp<br />
− I<br />
=<br />
=<br />
0<br />
I<br />
I<br />
= 0<br />
⎡ ⎛ Vcell<br />
+ I<br />
⎢exp⎜<br />
⎣ ⎝ a<br />
mpp<br />
mpp<br />
+ V<br />
+ V<br />
mpp<br />
mpp<br />
dI<br />
dV<br />
aR<br />
cell<br />
sh<br />
mpp<br />
R<br />
s<br />
− I<br />
+ I<br />
⎞ ⎤<br />
⎟ −1⎥ ⎠ ⎦<br />
− V<br />
0<br />
0<br />
cell<br />
+ I<br />
R<br />
sh<br />
cell<br />
R<br />
⎛ Vmpp<br />
+ ImppR<br />
Rsh<br />
exp⎜<br />
⎝ a<br />
⎛ Vmpp<br />
+ I<br />
RsRsh<br />
exp⎜<br />
⎝ a<br />
s<br />
s<br />
mpp<br />
⎞<br />
⎟ − a<br />
⎠<br />
Rs<br />
⎞<br />
⎟ + aR<br />
⎠<br />
s<br />
(1)<br />
(2)<br />
where, I cell<br />
and V cell<br />
are the current and voltage of PV cell<br />
I L<br />
and I 0<br />
are the light current and diode reverse saturation<br />
current<br />
R s<br />
and R sh<br />
are the series and shunt resistance<br />
a is the ideality factor
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