ECE 414a/514a Practice Problem Set #5: Solar Irradiance and Photovoltaic Cells, Assignments of Engineering

Practice problems related to solar irradiance and photovoltaic cells from ece 414a/514a course. Students are required to compute global irradiance, determine the characteristics of solar cells, and analyze the i-v characteristic of a pv cell. They are also asked to modify irradiance estimates for different receiver tilts and analyze the effect of temperature on cell performance.

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2019/2020

Uploaded on 09/15/2021

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ECE 414a/514a
Practice Problem Set #5
1. Compute the global irradiance at 9:30 AM on 20 April (day 110) at latitude of
+30o with the receiver horizontal and facing the sun for maximum collection.
Assume that the receiver is facing due South for the horizontal case.
2. Using the data from Table 20.1 for latitude of 30o compute the global horizontal
irradiance at 1:30PM solar time on 15 April. The measured global daily
irradiation on that date is 6200 Wh/m2. Receiver is facing South.
3. Modify the estimates for direct, diffuse, and reflected irradiance for the values
obtained in problem 2 if the receiver is tilted at 25o, 35o, and 45o to the horizontal.
4. Assume that the effect of the parallel resistance is negligible, the light generated
current = Isc, and
exp / 1
st
V IR V


. A PV generator is rated at 2400W
(STC), made up of 60 modules, arranged 10 in series and 6 in parallel. Geff = 710
W/m2 and Ta = 35oC. The modules have the following STC characteristics:
* * *
5.5 , 22.4 , 96
SC oc M
I A V V P W
. Each module has 40 cells connected in series
with a NOCT = 45oC.
a. Determine the characteristics of the cells that make up the generator under
STC. Also estimate
*
s
R
b. Determine the temperature of the cells under the operating conditions.
c. Determine the characteristics of the cells (Isc, Voc, FF) under the operating
conditions.
d. Determine the characteristic curve of the generator (IG, VG)
e. Determine the maximum power point
5. Make a plot of the I-V characteristic of a PV cell with short circuit current of
3.5A and a reverse saturation current of 1.2 nA operating at room temperature
(300oK). What is the open circuit voltage?
6. Consider two solar cells. Cell #1 has a short circuit output current of 3.2A with
full one sun illumination and an open circuit voltage of 0.55V. Cell #2 is shaded
and has a short circuit output current of 1.6A and also has an open circuit voltage
of 0.55V.
a. Draw a circuit diagram for identical two solar cells (Cell #1) connected in
series with a short circuit output connection.
b. Using the I-V diagram below graphically determine the new short circuit
current for the two cells in series.
pf2

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ECE 414a/514a

Practice Problem Set # 5

  1. Compute the global irradiance at 9:30 AM on 20 April (day 1 1 0) at latitude of

o with the receiver horizontal and facing the sun for maximum collection.

Assume that the receiver is facing due South for the horizontal case.

  1. Using the data from Table 20.1 for latitude of 30

o compute the global horizontal

irradiance at 1: 3 0PM solar time on 1 5 April. The measured global daily

irradiation on that date is 6200 Wh/m

2

. Receiver is facing South.

  1. Modify the estimates for direct, diffuse, and reflected irradiance for the values

obtained in problem 2 if the receiver is tilted at 25

o , 35

o , and 45

o to the horizontal.

  1. Assume that the effect of the parallel resistance is negligible, the light generated

current = Isc, andexp  / 1

s t

 V  IR V 

. A PV generator is rated at 2400W

(STC), made up of 60 modules, arranged 10 in series and 6 in parallel. Geff = 710

W/m

2 and Ta = 35

o C. The modules have the following STC characteristics:


5.5 , 22.4 , 96 SC oc M

IA VV PW. Each module has 40 cells connected in series

with a NOCT = 45

o C.

a. Determine the characteristics of the cells that make up the generator under

STC. Also estimate

s

R

b. Determine the temperature of the cells under the operating conditions.

c. Determine the characteristics of the cells (Isc, Voc, FF) under the operating

conditions.

d. Determine the characteristic curve of the generator (IG, VG)

e. Determine the maximum power point

  1. Make a plot of the I-V characteristic of a PV cell with short circuit current of

3.5A and a reverse saturation current of 1.2 nA operating at room temperature

o K). What is the open circuit voltage?

  1. Consider two solar cells. Cell #1 has a short circuit output current of 3.2A with

full one sun illumination and an open circuit voltage of 0.5 5 V. Cell #2 is shaded

and has a short circuit output current of 1.6A and also has an open circuit voltage

of 0.5 5 V.

a. Draw a circuit diagram for identical two solar cells (Cell #1) connected in

series with a short circuit output connection.

b. Using the I-V diagram below graphically determine the new short circuit

current for the two cells in series.

3.2A

3.0A

0.55V

I

V

1.6A

  1. The cells from question 6 are connected with by-pass diodes that have a forward

voltage drop of 0.5 5 V.

a. Show the circuit diagram with the series connected PV cells and by-pass

diodes with the cells in short circuit configuration. Show the current flow

with the cells equally illuminated and with one cell (#2) shaded.

b. Show the I-V diagram for the two cells in series with by-pass diodes and

with Cell #2 shaded with a short circuit output connection.

c. Estimate the amount of power dissipated by the shaded cell and the by

pass diode across this cell.