In: Physics
Explain in details what are the solar resources (where? , how much? , what can change the availability of sun light like dust, fog, etc..) mention other examples too of what can change the availability other than dust, fog.
I want detailed answers please with the references if you have. This is for my presentation
Solar cells is not the core topic of this questions.
Solar energy is one of the most important sources of energy on earth, available to us in a number of derivatives. Plant matter for example, which relies on solar energy for nutrition, experiences natural compression and decomposition over millions of years to form the the fossil fuels we use today for electrical generation and transportation. Other examples of this can be seen in use of biomass for fuel or the harvesting of wind energy which is reliant on solar heated air for the formation of currents.
We are also able to utilize the solar resource directly. Solar thermal technologies take advantage of this resource to heat a working fluid that can transfer energy to an air stream or water for domestic or commercial use. Solar Photovoltaic or PV devices exploit various materials (principally Silicon) that experience sub-atomic variations when exposed to solar energy in order to induce an electric current. Both solar PV and thermal technologies provide a useful source of energy with little to no moving parts, no pollution and very little embodied energy.
The Sun
All of the energy available on Earth is derived from the sun. We can model the sun's surface as blackbody. At a specific temperature, approximately 5777K for the sun, a blackbody emits energy with a unique radiation spectrum (Table 1).
Ultraviolet | Visible | Infrared | |
---|---|---|---|
Wavelength (μm) | 0 - 0.38 | 0.38 - 0.78 | 0.78 - Inf |
Fraction in Range | 0.064 | 0.480 | 0.456 |
Energy in Range (W/m2) | 87 | 656 | 623 |
The spectrum is divided into three broad ranges classified as ultraviolet, visible and infrared which transmit radiation at varying intensities. The highest intensities are found within the visible spectrum, peaking at a wavelength close to 0.5um. Averaged over the entire surface, the power density of the sun is found to be approximately 63 x 10 W/m2.
Earth Bound Radiation
The sun emits radiation in all directions, however only a portion of this energy is intercepted by the Earth. The intercepted radiation for any body in space is defined as follows:
Ho = (Rsun2 / D2) Hsun
Where Ho is the intercepted power density
Hsun is the power density of the sun
D is the distance between the sun and body of interest
For Earth, the distance to the sun is about 1.495 x 1011m. This provides an Earth intercepted value of around 1353 W/m2.
This number is known as the Earth's solar constant and is often referred to as extra-terrestrial radiation.
Terrestrial radiation, that is radiation hitting the Earth's
surface, varies widely with geographical location, local
atmospheric conditions, time of day and time of year. Some regions
are more suspect to variability in terrestrial radiation than
others, depending on the amount of weather fluctuations
experienced. For example, desert regions tend to demonstrate
consistent weather patterns thereby providing relatively consistent
values of terrestrial radiation.
As the radiation passes through the atmosphere the following
mechanism determine the amount of radiation that will reach the
Earth's surface:
Absorption – Certain
molecules in the atmosphere posses high photon absorption
properties. For example, water vapour (H2O) and CO2 absorb far
infrared radiation and ozone (O3) absorbs ultraviolet radiation.
Energy that is absorbed here is unavailable for use by solar
panels.
Reflection – In addition
to absorption, radiation can also be reflected off of particles in
the atmosphere. Radiation that is reflected a number of times
before eventually reaching the Earth's surface is known as diffuse
radiation. A portion of the incoming radiation may also be lost
completely by reflection back into space.
No Interaction – About 70%
of the incoming radiation will pass through the atmosphere
undisturbed. This is known as beam or direct radiation.
Figure 2: Beam and Diffuse Radiation
As mentioned above, radiation can reach the Earth's surface as beam/direct radiation or diffuse radiation (Figure 2). Beam radiation is defined as solar radiation that has been received from the sun without any scattering by the atmosphere. Diffuse radiation is solar radiation that has been received from the sun after its direction has been changed by scattering. Diffuse radiation is typically accounted for by adding 10% to the measured beam radiation [3].
The losses due to atmospheric effects do not cause any major dips
in the radiation spectrum. Rather, the impact is an overall
reduction in the intensity of the entire spectrum. Depending on the
time of the day, the sun's apparent position in the sky changes and
as a result the length of atmosphere that the radiation must travel
through also changes. When the sun is directly overhead, this
length is referred to as the air mass (AM). Moving
away from this overhead position, the travel distance required to
hit the collecting surface increases. Figure 3 is simple schematic
showing this effect.
A simple calculation can be performed to quickly determine the air mass:
Figure 3: Air Mass as Sun Moves Across the Sky
AM = 1 / cos θ
In order to account for the curvature of the atmosphere the following formula can be applied:
AM = 1 / [cos θ + 0.50572 (96.07995 – θ)-1.6364] [3]
The air mass effect can also be visually understood by noting that
the sun appears white (high intensity) when it is directly overhead
and much redder (low intensity) during the morning and evening
hours. If the air mass is known, then the resulting radiation
intensity can be calculated as follows:
ID = 1.353 [(1 - 0.14h) 0.7(AM^0.678) + 0.14h][3]
IG = 1.1 ID
*where h is the height above sea level
The variability in the radiation received at the Earth's surface
requires the identification of a standard to allow for fair testing
and comparison of solar energy systems. This is has been defined as
AM1.5 and is representative of the total radiation hitting the
Earth's surface, which is found to be approximately
1000W/m2 (beam + diffuse). This value is often
used to perform preliminary calculations for predicting how a
system will perform.
Accounting for the losses discussed above, the amount of energy reaching the Earth's surface every hour is still greater than the amount of energy used by the world's population in an entire year. Herein lies the motivation to design and implement solar thermal and solar PV systems.
Additional Information Weather data will
often include a measure known as the clearness
indexW. This value is the ratio of received radiation on a
horizontal plane to extra-terrestrial radiation based on ground and
satellite measurements.
For theoretical calculations a number of sky models have been
developed. The most basic model assumes that diffuse component of
radiation is constant regardless of orientation. This means that
all of the diffuse radiation is derived only from atmospheric
scattering and equally from all directions. The Isotropic Sky model
applies the same assumption but also includes diffuse radiation
resulting from ground reflected radiation.
Two main phenomena, circumsolar radiation and
horizon brightening, are ignored by the preceding
models. Circumsolar radiation refers to the greater concentration
of diffuse radiation existing in the sky immediately around the
location of the sun relative to the remainder of the sky; Horizon
brightening refers to the greater concentration of diffuse
radiation existing on the horizon relative to the remainder of sky.
These two components are accounted for in the Anistropic
Sky model, however are generally not required for system
performance analysis.
Describing the Sun's Location[edit]
In order to calculate the air mass, the sun's position in the sky needs to be defined. In addition, the apparent position of the sun in the sky will significantly impact the amount of radiation intercepted by our collecting surface. This section will define a number of key terms and outline how to calculate the radiation that is intercepted by a given collector; followed by an example in order to further clarify the methodology.
Term | Definition | Diagram |
---|---|---|
Solar Noon | Time when the sun is directly overhead position of interest. Each hour away from this position corresponds to a 15odeviation (hour angle). | |
Zenith Angle (θz) | The angle between the vertical and the line to the sun. This is also the angle of incidence on a horizontal surface for beam radiation. Additionally, the Solar Altitude angle is defined as the compliment of the zenith angle. | |
Solar Azimuth Angle (γs) | The deviation angle from due South for the projection of the sun's position on the horizontal plane (-180ofor Each, +180o for West) | |
Surface Azimuth Angle (γ) | The deviation angle from due South for the surface's normal vector projected onto the horizontal plane (-180ofor Each, +180o for West) | |
Declination Angle (δ) | The angular position of the sun (at solar noon) with respect to
the plane of the equator. The angle varies seasonally due to the
Earth's tilt and can be calculated for a given day using: δ = 23.45 sin[ 360 (284 + n) / 365 ] |
|
Slope (β) | Angle between the collecting surface and the horizontal plane. In order to maximize the solar yield over the entire year, this angle should be set equal to the latitude. Steeper angles can be utilized to optimize for winter months. Likewise, shallow angles are used to optimize solar yield during the summer months. | |
Irradiance | The rate at which radiant energy is incident on a surface per unit area of surface (W/m2) | - |
Irradiation | The incident energy per unit area on a surface (integration of irradiance over a specific time J/m2 |
- |
Insolation | Irradiation applied specifically to solar energy | - |
Calculating the Position of the Sun and Angle of Incidence[edit]
This section will outline the methodology and equations required to calculate the sun’s position and the angle of incidence for a known surface at a given time and location.
Initial Calculations and known values:
Angle of Declination (δ) = 23.45 sin[ 360 (284 + n) / 365 ]
Hour Angle (ω)= (Number of Hours from Solar Noon) x 15o
Surface Azimuth (γ) = Orientation of surface measured from due South
Slope (β): Slope of surface
Latitude(Φ) of Location
Using these variables the consine of the angle of incidence of beam
radiation on the surface is:
cosθ = sinδ sinΦ cosβ – sinδ cosΦ sinβ cosγ + cosδ cosΦ cosβ cosω + cosδ sinΦ sinβ cosγ cosω + cosδ sinβ sinγ sinω[5]
*For surfaces facing directly south/north the equation is simplified since the surface azimuth (γ) = 0o
The zenith angle (θz) can be found setting the slope (β)
equal to zero in this equation. With the zenith angle
found, the solar azimuth angle (γs) can be calculated as
follows:
γs = sign(ω) |cos-1 [ (cosθz sinΦ – sinδ) / (sin θzcosΦ) ] |[6]
Shading Considerations[edit]
Shading can be caused by nearby obstructions such as buildings, overhangs or other collectors in an array. This can have a drastic impact on system performance, particularly for solar PV panels and it is therefore important to consider when and for how long shading will occur and determine if it is avoidable through design measures.
Figure 5: Theoretical Shading Profile
Obstructions can have irregular geometries and be located anywhere
in relation to collector surface. By calculating their relative
azimuth and altitude angles, a shading profile can be established
by overlaying this information onto a solar chart (a solar chart is
a graph used to plot the sun's position throughout the year for a
given latitude). Figure 5 provides an example of theoretical solar
chart and shading profile, where the darkened areas represent when
shading will occur. For example, we can read off the chart that the
collector will be shaded on October and February 21st between
9:30am and 11:30am and between 2:00pm and 4:30pm.
Measuring Solar Resource[edit]
In addition to providing important meteorological data, measuring solar radiation provides valuable data sets that can be used for modeling and feasibility studies. In field testing of panels also requires accurate monitoring of radiation values. There are three main types of measurement devices[7]:
PyrheliometersW
PyranometersW
PV detectors
A more comprehensive review of solar radiation measurement devices and techniques can be found here.
For all radiation measurement devices, a number of factors determines the overall quality and accuracy of retrieved data:
Glass Layer
For devices that require an external glass layer, the uniformity of the thickness in this layer is extremely important to avoid refractive effects. The glass should have very low reflective properties.
Moisture Content
Any moisture within the measurement zone can skew the incoming radiation via reflection and refraction. In addition to proper sealing a number of devices use a replaceable solid desiccant to ensure dry conditions inside the device.
Temperature Sensitivity
The response of the circuitry used to output data can vary with temperature fluctuations induced by exposure to radiation and ambient temperature changes. It is difficult to thermally isolate these circuits, however a number of devices use multiple junctions or temperature compensation factors to minimize this effect.
Orientation
The semi-spherical chamber used in pyranometers does not maintain a perfect vacuum. As a result, if the device is used to measure radiation on a tilt angle, the heated air inside the chamber can form convective currents which can induce further issues associated with temperature sensitivity and radiation interference.
Degradation
All measurement device degrade over time. It is recommended that calibration constants for be re-evaluated every few years to ensure accurate readings.
In addition to ground-based measurements, data can also be inferred from satellite observations of the atmosphere. NASA provides monthly radiation data sets for a number of locations across the globe using meteorological data and satellite observations. This data provides a convenient source for performing preliminary feasibility studies, however should only be used if ground-based data is not available[8]. Table 3 highlights the uncertainties associated with measured radiation data.
Data Source | Uncertainty |
---|---|
NASA Data Set | 7 - 12% |
Ground-Measured | 6 - 12% |
Ground-Measured by High Quality Research Sites | 3 - 6% |