Question

Problem 3: Transient analysis using Laplace Transform (Adapted from Project 7.2) A simplified version of a DC grid connected solar PV system is shown in Figure 3. The solar output function $\beta$ depends on the solar irradiation and the load, which will be determined separately. + $V_{in}$ L R Switch I + $\beta$ C $V_{out}$ Figure 3 a) Develop a transfer function for the input voltage $V_{in}$ and output voltage $V_{out}$. Neglecting the switch and assume the initial conditions are zero. b) If the switch characteristics is given by $s(t) = (1 - (10^4t + 1)e^{-10000t})$ Using the Laplace transform table given in page 223 of the textbook (Table 7.1) determine the transfer function for the switch. c) For a control operation, the block diagram for the above system can be shown as + $V_{in}$ Switch I $V_{in}(s)$ Switch $S(s)$ L R W + C $V_{out}$ Rest of the network $H(s)$ $V_{out}(s)$ determine the overall transfer function

          Problem 3: Transient analysis using Laplace Transform (Adapted from Project 7.2)
A simplified version of a DC grid connected solar PV system is shown in Figure 3. The solar output function
$\beta$ depends on the solar irradiation and the load, which will be determined separately.
+ 
$V_{in}$
L
R
Switch
I
+ 
$\beta$
C $V_{out}$
Figure 3
a) Develop a transfer function for the input voltage $V_{in}$ and output voltage $V_{out}$. Neglecting the switch
and assume the initial conditions are zero.
b) If the switch characteristics is given by
$s(t) = (1 - (10^4t + 1)e^{-10000t})$
Using the Laplace transform table given in page 223 of the textbook (Table 7.1) determine the
transfer function for the switch.
c) For a control operation, the block diagram for the above system can be shown as
+ 
$V_{in}$
Switch
I
$V_{in}(s)$
Switch
$S(s)$
L
R
W
+ 
C $V_{out}$
Rest of the network
$H(s)$
$V_{out}(s)$
determine the overall transfer function

Problem 3: Transient analysis using Laplace Transform (Adapted from Project 7.2)
A simplified version of a DC grid connected solar PV system is shown in Figure 3. The solar output function
β depends on the solar irradiation and the load, which will be determined separately.
+
Vin
L
R
Switch
I
+
β
C Vout
Figure 3
a) Develop a transfer function for the input voltage Vin and output voltage Vout. Neglecting the switch
and assume the initial conditions are zero.
b) If the switch characteristics is given by
s(t) = (1 - (10^4t + 1)e^-10000t)
Using the Laplace transform table given in page 223 of the textbook (Table 7.1) determine the
transfer function for the switch.
c) For a control operation, the block diagram for the above system can be shown as
+
Vin
Switch
I
Vin(s)
Switch
S(s)
L
R
W
+
C Vout
Rest of the network
H(s)
Vout(s)
determine the overall transfer function

Added by Kayla P.

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