Lab #7Solar1-1
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University of Nebraska, Omaha *
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1050
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Dec 6, 2023
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Introduction to Human-Environment Geography (GEOG 1050) Laboratory
Lab #7: Solar Energy
Introduction
The primary energy source for the Earth’s climate system is solar radiation (i.e. shortwave, or visible
light from the Sun). The amount of that radiation reaching the surface of the earth changes on a daily
and seasonal basis due to the positioning of the earth relative to the sun, and climatic features such as
cloud cover and atmospheric concentration. In determining the potential for solar energy to be used,
practically, as a form of alternative energy, it is critical to know just how much solar radiation reaches
the surface. Once measured, the amount of electricity the solar panel provides can be calculated, and an
informed decision on if and/or where installing the panels can be made.
In today’s lab, we will be measuring the incoming solar radiation at two locations on campus, then using
those observations to determine a rough ‘feasibility’ figure, given average costs and efficiencies. The
objectives of this lab are to:
1)
Confidently measure solar radiation and interpret the observations
2)
Calculate the electricity yield for a standard solar panel given those observations and within
climatology
3)
Run a cost-benefit analysis of installing a solar panel suite on campus
Background Information/Further Reading
Earth-Sun Relationships
The four most important factors that determine the amount of incoming solar radiation reaches and is
absorbed by the surface are: (1) the time of day (i.e. solar altitude), (2) the day of the year (i.e. solar
declination; length of day light), (3) the percentage (and type) of cloud cover, and (4) surface albedo.
(1) Over the course of the day, the sun’s angle above the horizon (solar altitude) changes as a
function of Earth’s rotation on its axis. This influences the intensity of solar radiation, where the
surface receives more energy from the sun at noon, compared to when the sun is rising or setting.
Thus, energy from the sun is considered ‘most intense’ at noon. The maximum altitude of the sun
depends on the time of year and latitude
(2) The intensity of solar radiation varies substantially over the course of a year based on the Earth’s
tilt and revolution around the sun. In Nebraska (approximately 41°N latitude), average daily
radiation at the top of the atmosphere varies from 150 Watts per meter squared (W/m
2
) in the
winter, to 450 W/m
2
in the summer.
(3) Clouds, particularly liquid-based clouds, reflect a portion of incoming radiation back to space,
thus less radiation reaches the surface. Liquid-based clouds are more effective at reflecting solar
radiation than ice-based clouds.
(4) Based on the reflectivity, or albedo, of the surface, a percentage of incoming solar radiation is
reflected away and a percentage is absorbed. Lighter surfaces have a higher albedo, thus reflect
more incoming solar radiation and absorb less (typically making them cooler).. Darker surfaces
on the other hand have a lower albedo, thus reflect less, and absorb more (typically making them
warmer).
Solar Panels
At its most basic, solar panels are a series of photovoltaic cells linked together that harness photons
(particles of light) to generate electricity. As the photon hits the cells, electrons are excited and ‘freed’,
then transported away via an established electric field within the cell, yielding electricity. These are the
most commonly-used house-hold and commercial versions of solar power technology, but other forms,
such as solar thermal and concentrated solar panels, also exist. There are a number of extending readings
on these types of solar panels available online.
Today’s solar panels are substantially more affordable than their previous versions from only a decade
ago, however there are still upfront costs associated with installing these panels, and due to energy
availability and efficiency concerns, they may or may not be a viable option for every location. Every
solar panel has a maximum wattage rating, which indicates how much energy can be harnessed at ideal
conditions. Naturally, conditions are not always ideal, and during these non-idealized times, the
efficiency of the panel decreases. Warmer temperatures, older panels, and shaded conditions can all
result in lower electricity yield.
In the energy business, electricity is typically reported in kilowatt-hour (kWh). This is a measure of the
amount of energy needed to power a 1,000-watt appliance for 1 hour. For example, a 100-watt light bulb
would use 1 kWh of energy in 10 hours. So for our solar panels, we’ll need to convert our watts (W) to
kWh. 1 kW = 1,000 W. 1 kWh is the production of 1kW continuously for a period of 1 hour. Here in
Nebraska, we pay, on average, about 9.0 cents per kWh (which is one of the lowest rates in the
country!).
Measuring solar radiation
To measure solar radiation, we will be using pyranometers. This instrument records the amount of solar
radiation that enters the fixture, and shows the W/m
2
value in the display. These can be pointed in any
direction. While they are relatively sturdy, they can break by dropping them, so please handle with care.
Once you are done taking observations, please turn the sensor off!
Questions
Part 1 – Observing Solar Radiation
1.
In your assigned teams, choose two locations in the surrounding area outside of lab, one should
be in the shade (i.e. under a tree/awning or next to a building) while the other should be not
obstructed (i.e. open area). Complete the table below.
Location 1:
Outside Durham
Location 2:
Grass outside Durham
Site Description:
Outside the entrance of Durham, there is little
building obstruction in the spot where we
collected the observations.
Site Description:
The grass is in complete shade due to the
branches of the large tree above us. There
were a couple buildings obstructing the sun
because of its direction.
Sky Cover Observation (see previous labs):
Sky Cover Observation:
Time of Observation(s):
8:42am
Time of Observation(s):
8:44am
2.
Measure the amount of solar radiation at each site and record below. If the sun is visible (don’t
look right at the sun!), take note of this, and point the pyranometer directly at the sun. If not,
point it straight upwards.
Obs. #1:
830
Obs. #1:
98
Part 2 – Electrical Energy Generated
3.
Which site had more solar radiation? Why do you think that is?
Outside the entrance to Druham had higher levels of solar radiation. This is because there was no
cloud cover and no obstructions blocking the sun.
4.
Your observations were only one instant throughout the entire day. What factors can influence
the amount of electricity a solar panel can generate (consider both physical and mechanical
characteristics over time)?
The location and placement of the solar panels can significantly influence the amount of solar
radiation it absorbs. If there are trees, buildings, mountains, etc. obstructing the panels, it will not
absorb high values. The time of the day also affects the amount of energy the panel will receive;
early morning can be lower than late afternoon. The direction of the sun
is also a factor that should be noted. Cloud cover affects the amount of
electricity that can be generated. The size and age of the solar panels\
greatly influences the incoming radiation absorption.
5.
Given the time of observation and your answer to question 4, do you
think the observations you took would represent a time of peak solar
efficiency? Why or why not?
At noon, during summertime (June/July) is peak solar efficiency. It is
early in the morning, and we are in late fall (closer to winter), so our
recordings are much lower than what we would see during peak
efficiency.
Over the course of the day, solar radiation varies. Peak levels occur around
noon, and minimal levels overnight. The table and graphic below represents
the diurnal cycle of solar radiation (in W/m
2
) for an average day in Omaha.
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6.
The data shown is
the average across
many years. Within
a true calendar year,
how might solar
radiation actual
change? How could
a changing climate
influence these
solar radiation
observations?
Solar radiation decreases
in fall and winter. The above information does not account for those factors, it is a generalization;
the time of year impacts solar radiation levels. Climate change can increase the amount of
radiation and our temperatures compared to other climatic factors. It can also influence cloud
cover.
Part 3 – Feasibility
7.
The average Nebraska household uses approximately 33 kWh per day of electricity. Let’s assume
that our typical solar panel generates 1.493 kWh of electricity per day. What percentage would
our solar panel cover?
1.49kWh / 33kWh x100 = 4.51… or 4.5%
8.
What is the minimum number of panels we would need to cover the entire demand calculated in
#7?
23 Panels (33kWh/1.493 [22.1])
9.
A typical house roof is about 150 m
2
in area, but only about half is usable for panels. Let’s
assume that the size of our solar panel is 1.0m wide and 2m tall.
Given this, and the number of
panels needed to cover the typical Nebraskan’s energy demand (i.e. #8), is there enough room
on the roof? Show your work.
23 * 2m^2 = 46; Yes, there is enough room. 150/2= 75
0.0
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Solar Radiation (Wh/m2)
Time of Day
10. Say you’re a homeowner and decided to install 25 solar panels on your roof. Using your
calculations from above, how much energy would the panels generate per day? Hint: Use 1.493
kWh for daily energy generated, but scale up to 25 panels.
1.492* 25 = 37.3 kWh
11. How much energy would the answer to #10 be for a 365-day year?
13,614.5 kWh
12. The cost of electricity is approximately 9.0 cents per kWh here in Nebraska. For a 365-day year,
how much money would the electricity from your solar panels generate?
13,614.5 * .09 = $1,225.31
13. The cost of your 25-panel solar setup was $12,000. Assuming there are no other maintenance
costs or changes to electricity pricing, how long would it take for you to make your money back
on your initial investment?
10 years :
12,000/1,225.31= 9.793 or 9.8, then we round to the nearest whole number which is 10.
14. Let’s say you lived in Burlington, VT where electricity is approximately 16 cents per kWh.
Hypothetically, Burlington receives the same amount of solar energy as Omaha, and you built the
same solar array there as you did in Omaha. Recalculate questions 12 and 13 for Burlington,
determining (a) the price of the electricity generated using Burlington prices, and (b) how long it
would take you to make your money back in Burlington.
a. 13614.5 * .16 = $2,178.32
b. $12,000/$2178.32 = 5.5 years
15. This lab represents a very idealized scenario. What other factors (physical, mechanical, political,
economic, etc.) come into play in reality when factoring in the feasibility of installing a solar
panel system?
On a political level, bills could be passed that could increase taxes on solar energy individually OR
make them even cheaper to maintain and install. On a mechanical level, inclement weather,
accidents, or natural disasters could destroy your solar panels. At this time, using solar panels will
significantly reduce your electricity costs and entitle you to numerous tax benefits and savings. It’s
a good investment!
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