Nptel Sustainable Energy Technology Week 5 Solution


 

The incoming solar radiation peaks at 1000 nm wavelength.

 True

 False

It seems there might be a slight error in your statement. The incoming solar radiation actually peaks in the visible spectrum of light, not at 1000 nm wavelength. The visible spectrum ranges from approximately 380 nm (nanometers) to 750 nm, with different colors corresponding to different wavelengths within that range.


The peak of the Sun's energy output, also known as the solar spectrum, is around 500 nm, which is in the green-yellow part of the visible spectrum. This is the wavelength at which the Sun emits the most energy.


Wavelengths longer than the visible spectrum, such as those around 1000 nm, are in the near-infrared region. While the Sun does emit energy in this range as well, the peak of its energy output is in the visible range.


If you have specific information or context related to 1000 nm in solar radiation, please provide more details so I can assist you accurately.

The Tibetan plateau is a region with high values of solar horizontal irradiation.

 True

 False

Yes, that's correct. The Tibetan Plateau is indeed a region with relatively high values of solar horizontal irradiation. Solar irradiation refers to the amount of solar energy received per unit area at a specific location on the Earth's surface. Several factors contribute to the high solar irradiation levels on the Tibetan Plateau:


1. **High Altitude**: The Tibetan Plateau is often referred to as the "Roof of the World" due to its elevated altitude. Being at a higher elevation means that the atmosphere is thinner, allowing less scattering and absorption of sunlight. This leads to more direct sunlight reaching the surface.


2. **Clear Atmosphere**: The region's relatively dry and clear atmosphere further reduces the scattering and absorption of solar radiation. Clear skies allow more sunlight to reach the surface, increasing solar irradiance.


3. **Latitude and Solar Angle**: The Tibetan Plateau is located at a relatively high latitude. While this means the angle of the Sun's rays is not as steep as it would be at the equator, the longer daylight hours during certain times of the year compensate for this, resulting in substantial solar energy receipt.


4. **Albedo**: The surface properties of the plateau, such as snow cover and vegetation, can impact the albedo, which is the amount of sunlight reflected back into space. Snow-covered areas have high albedo, reflecting a significant portion of sunlight, while darker surfaces like bare soil absorb more energy.


5. **Dry Climate**: The Tibetan Plateau is characterized by a dry climate with relatively low cloud cover. Clouds can block and scatter incoming solar radiation, so fewer clouds mean more direct sunlight reaches the surface.


Due to these factors, the Tibetan Plateau experiences relatively high solar irradiance levels, making it a potentially attractive region for solar energy generation. Solar energy technologies, such as photovoltaic panels and solar thermal systems, can take advantage of the abundant solar radiation in this area to generate electricity or heat for various applications.


The daily solar insolation received during the summer months is almost the same for all latitudes of the Northern Hemisphere.

 True

 False

The statement you've provided is not entirely accurate. The daily solar insolation (incoming solar radiation) during the summer months is not the same for all latitudes of the Northern Hemisphere. Solar insolation varies with latitude due to the Earth's axial tilt and the curvature of the Earth. 


The axial tilt of the Earth is approximately 23.5 degrees relative to its orbital plane. This tilt is responsible for the changing seasons and the variation in the angle at which sunlight strikes different latitudes.


During the summer months in the Northern Hemisphere (which correspond to the months around June, July, and August), the North Pole is tilted towards the Sun. This results in:


1. **Higher Solar Angle**: Higher latitudes receive sunlight at a steeper angle, which means the sunlight has to pass through a thicker portion of the atmosphere. This can result in more scattering and absorption of sunlight, leading to lower solar insolation compared to lower latitudes.


2. **Longer Daylight Hours**: Higher latitudes experience longer daylight hours during the summer months. This provides more time for solar energy to be received, compared to lower latitudes where daylight hours are relatively consistent throughout the year.


3. **Variation in Solar Insolation**: Solar insolation is not the same for all latitudes. Areas closer to the poles receive less solar energy per unit area due to the slanting angle of sunlight. As you move towards the equator, the solar energy per unit area increases due to the more direct angle of sunlight.


In summary, solar insolation during the summer months is not uniform across all latitudes of the Northern Hemisphere. It varies with latitude due to factors like solar angle and daylight duration, resulting in higher solar energy receipt at lower latitudes and lower solar energy receipt at higher latitudes.

Solar zenith angle is defined as the angle between the ground and the solar beam incident on the ground.

 True

 False

Actually, the solar zenith angle is defined slightly differently. The solar zenith angle is the angle between the sun's rays and a line perpendicular to the Earth's surface. In other words, it's the angle between the sun and the zenith (the point directly overhead). It's measured from the vertical, not the ground.


When the sun is directly overhead, the solar zenith angle is 0 degrees. As the sun moves closer to the horizon, the solar zenith angle increases. At sunset, the solar zenith angle is 90 degrees (90°) because the sun's rays are parallel to the Earth's surface.


This angle is crucial in understanding the intensity of solar radiation received at a particular location on the Earth's surface. When the sun is directly overhead (low solar zenith angle), the sunlight passes through less atmosphere, resulting in a higher solar irradiance. As the solar zenith angle increases, the sunlight has to pass through a greater thickness of the atmosphere, leading to increased scattering and absorption, which reduces the solar irradiance.


So, in summary, the solar zenith angle is the angle between the sun's rays and a line perpendicular to the Earth's surface, not the angle between the sun's rays and the ground.

A solar cooker is an example of a solar thermal energy system.

 True

 False

Yes, that's correct. A solar cooker is indeed an example of a solar thermal energy system. Solar thermal energy systems harness the sun's heat to perform various tasks, such as cooking, heating water, or generating electricity. A solar cooker is a specific type of solar thermal device designed for cooking food using the sun's energy.


Solar cookers work by concentrating sunlight onto a cooking area, typically using reflective surfaces like mirrors or reflective panels. These devices can be designed in different ways, but the basic principle involves focusing sunlight onto a cooking pot or surface, which then absorbs the solar energy and gets hot enough to cook food. Solar cookers are often used in regions with ample sunlight and limited access to traditional cooking fuels.


Other examples of solar thermal energy systems include solar water heaters, solar drying systems, and solar thermal power plants. In solar water heaters, sunlight is used to heat water for domestic or industrial purposes. Solar drying systems utilize solar energy to dry agricultural products or other materials. Solar thermal power plants generate electricity by using sunlight to heat a fluid that drives a turbine, producing mechanical power that is then converted into electricity.


Solar thermal energy systems are a sustainable and environmentally friendly way to harness the sun's heat for various applications, reducing the reliance on fossil fuels and lowering greenhouse gas emissions.

A phase change material is used to absorb heat in evacuated tube collectors.

 True

 False

Yes, that's correct. Phase change materials (PCMs) are sometimes used in evacuated tube solar collectors to absorb and store heat. Evacuated tube collectors are a type of solar thermal collector used to capture solar energy for heating purposes. These collectors consist of rows of glass tubes with an outer and inner tube, creating a vacuum layer that minimizes heat loss. The inner tube contains an absorber that heats up when exposed to sunlight.


Phase change materials are substances that can undergo a change in phase (such as melting or solidifying) while absorbing or releasing a significant amount of heat. In the context of evacuated tube collectors, PCMs are often integrated into the design to enhance the heat storage capabilities of the system.


Here's how it works:


1. **Heat Absorption**: When solar radiation enters the evacuated tubes, the absorber within the inner tube heats up. This heat is transferred to the phase change material.


2. **Melting**: As the absorber heats the PCM, it goes through a phase change, typically changing from a solid to a liquid state. During this phase change, the PCM absorbs a substantial amount of heat while maintaining a nearly constant temperature.


3. **Heat Storage**: The absorbed heat is stored within the PCM in its latent heat form (heat stored during a phase change). This stored heat can then be released gradually as needed, maintaining a relatively stable temperature within the collector even when solar radiation decreases.


4. **Heat Transfer**: During periods of lower solar radiation or during nighttime, the stored heat in the PCM gradually releases back into the collector, where it can be transferred to a heat transfer fluid circulating through the system. This fluid can then be used for space heating or other applications.


Using phase change materials in evacuated tube collectors helps to extend the availability of captured solar heat beyond direct sunlight hours. It increases the overall efficiency of the solar thermal system by providing a means of storing heat for later use when the sun is not shining directly on the collector. This technology is particularly useful in areas where there are fluctuations in sunlight or when consistent heat supply is required.

Flat plate collectors are more suitable for hot water systems in cold climates.

 True

 False

Yes, that's correct. Flat plate solar collectors are often more suitable for hot water systems in cold climates compared to other types of solar collectors due to their design and efficiency in capturing and retaining heat. Here's why:


1. **Efficiency in Diffuse Light**: In colder climates, there might be more overcast or cloudy days. Flat plate collectors are better at capturing diffuse sunlight (light that is scattered by clouds or the atmosphere), making them more effective in generating heat even when direct sunlight is limited.


2. **Insulation and Protection**: Flat plate collectors typically come with insulation and glazing to reduce heat loss to the surrounding environment. This design is beneficial in cold climates where maintaining the temperature differential between the collector and the surroundings is crucial for efficient operation.


3. **Stability in Cold Temperatures**: Flat plate collectors are generally more robust in handling freezing temperatures. They can be equipped with antifreeze solutions to prevent freezing within the collector and associated piping, which is essential in cold climates to avoid damage.


4. **Suitability for Lower Temperatures**: Flat plate collectors are well-suited for applications that require lower-temperature heat, such as domestic hot water systems. They can efficiently heat water to temperatures suitable for household use even in colder conditions.


5. **Less Dependency on Direct Sunlight**: In cold climates with shorter daylight hours and lower sun angles, flat plate collectors can still collect heat effectively because they can absorb solar energy from a wider range of angles.


On the other hand, other types of solar collectors, such as concentrating collectors, might perform better in sunnier and hotter climates due to their ability to focus sunlight onto a smaller area, generating higher temperatures suitable for power generation or specific industrial processes.


Ultimately, the choice of solar collector depends on various factors, including climate, energy needs, available space, and budget. For hot water systems in cold climates, flat plate collectors are often a practical and efficient choice for harnessing solar energy to provide heated water for residential, commercial, or industrial purposes.

CSP systems are good in arid regions of the world.

 True

 False

Yes, that's correct. Concentrated Solar Power (CSP) systems are particularly well-suited for arid regions of the world due to their ability to efficiently capture and convert solar energy into electricity using focused sunlight. Here's why CSP systems are advantageous in arid climates:


1. **Abundant Solar Radiation**: Arid regions typically have high levels of direct and consistent sunlight. CSP systems rely on concentrating sunlight to generate heat, which is then used to produce steam and drive turbines to generate electricity. The ample sunlight in arid areas makes CSP systems more productive and efficient.


2. **High Temperature Operation**: CSP systems operate at high temperatures, and arid regions often experience hot climates. These high ambient temperatures can work synergistically with the system's operation, reducing the need for additional heating to achieve the required temperature for electricity generation.


3. **Reduced Cloud Cover**: Arid regions generally have fewer cloudy days and less atmospheric water vapor, resulting in reduced cloud cover and lower diffuse radiation. This is beneficial for CSP systems, as they require direct sunlight to effectively concentrate and generate heat.


4. **Cooling Advantages**: Many CSP systems use water as a cooling medium, and arid regions might have access to ample water resources for cooling purposes. Additionally, the higher ambient temperatures in arid areas can enhance the efficiency of power cycle cooling.


5. **Land Availability**: Arid regions often have vast expanses of open land, which is ideal for building large-scale CSP installations that require a significant amount of space for solar collectors and other infrastructure.


CSP technologies include parabolic trough systems, tower systems, and dish/engine systems, all of which can be tailored to take advantage of the specific characteristics of arid climates. These systems are particularly well-suited for electricity generation and can contribute significantly to clean energy production in regions where solar resources are abundant.


It's important to note that while CSP systems are well-suited for arid regions, their feasibility also depends on various factors such as technology cost, local regulations, water availability, and grid integration.

Dish type mirrors are more efficient concentrators than parabolic mirrors.

 True

 False

Yes, that's correct. Dish-type mirrors, also known as solar dish concentrators or solar dishes, are generally more efficient concentrators of solar energy compared to parabolic mirrors in certain applications. Dish concentrators focus sunlight onto a single point or receiver, which allows for very high concentration ratios and temperatures. This design has several advantages:


1. **Higher Concentration Ratio**: Dish concentrators can achieve higher concentration ratios than parabolic mirrors. This means they can concentrate a larger amount of sunlight onto a smaller area, resulting in significantly higher temperatures at the focal point.


2. **Higher Temperature**: The high concentration ratio of dish concentrators leads to higher temperatures at the focal point, which is advantageous for applications requiring high-temperature heat, such as power generation, industrial processes, or high-temperature material testing.


3. **Small Receiver Area**: The focused sunlight is collected onto a small receiver, which can be a solar thermal engine, a Stirling engine, or another heat transfer system. This compact receiver design can enhance efficiency and reduce heat losses.


4. **Better Thermal Efficiency**: The high temperatures achieved by dish concentrators can lead to better thermal efficiency in power generation or high-temperature applications, as higher temperatures allow for more efficient conversion of heat to mechanical work or electricity.


5. **Tracking Capabilities**: Dish concentrators are often mounted on dual-axis tracking systems that follow the sun's movement throughout the day. This ensures that the concentrator is always pointed directly at the sun, maximizing the amount of sunlight collected.


However, it's important to note that the efficiency and suitability of dish concentrators depend on the specific application and geographic location. Parabolic trough and tower systems are better suited for large-scale electricity generation due to their ability to collect and concentrate sunlight over larger areas, but they might have slightly lower concentration ratios compared to dish concentrators. Each concentrator type has its advantages and disadvantages, and the choice depends on factors such as the desired operating temperature, available space, cost, and technology maturity.


In summary, dish-type mirrors are often more efficient concentrators than parabolic mirrors for applications requiring high-temperature heat and where compact design and high concentration ratios are important.

The efficiency of a concentrated solar thermal power system increases linearly with the rising temperature of the hot fluid.

 True

 False

The statement you've provided is not entirely accurate. The efficiency of a concentrated solar thermal power system does not increase linearly with the rising temperature of the hot fluid. Instead, the relationship between efficiency and temperature is more complex and follows a general trend known as the Carnot efficiency.


The Carnot efficiency is a theoretical upper limit for the efficiency of a heat engine, which includes concentrated solar thermal power systems. It depends on the temperature difference between the hot and cold reservoirs in the system. The formula for the Carnot efficiency (η) is:


η = 1 - (Tc/Th),


where:

- η is the Carnot efficiency

- Tc is the temperature of the cold reservoir (in absolute temperature, Kelvin)

- Th is the temperature of the hot reservoir (in absolute temperature, Kelvin)


As you can see from the formula, the Carnot efficiency decreases as the temperature difference (Th - Tc) increases. This means that as the temperature of the hot fluid in a concentrated solar thermal system increases, the potential efficiency gain becomes smaller.


In practice, concentrated solar thermal power systems, like other heat engines, face real-world limitations such as heat losses, irreversibilities, and mechanical inefficiencies. These factors contribute to the system's actual efficiency being lower than the Carnot efficiency.


While increasing the temperature of the hot fluid can lead to higher thermal efficiency in a concentrated solar thermal power system, it doesn't necessarily result in a linear increase in efficiency. System design, engineering constraints, and technology choices all play important roles in determining the efficiency of these systems.


The solar zenith angle is 30∘. The solar energy flux normal to the direction of incoming radiation is 500 W/m2. The incident solar flux per unit area of the ground is:(Choose the closest value.)

 250 W/m2

 288.7 W/m2

 433 W/m2

 500 W/m2

The incident solar flux per unit area of the ground can be calculated using the concept of the solar zenith angle and the cosine of that angle. The formula is given by:

Incident Solar Flux = Solar Energy Flux * Cos(Solar Zenith Angle)

Given that the solar energy flux normal to the direction of incoming radiation is 500 W/m² and the solar zenith angle is 30 degrees, we can plug these values into the formula:

Incident Solar Flux = 500 W/m² * Cos(30°)

Cos(30°) is approximately 0.866. Now, calculate the incident solar flux:

Incident Solar Flux = 500 W/m² * 0.866 ≈ 433 W/m²

So, the closest value for the incident solar flux per unit area of the ground is 433 W/m².

By how many times does the daily available solar energy per unit area of ground surface available at 12∘ N latitude exceed that available at 60∘ N latitude in the month of December (Use plots from lecture slide for your answer, choose the closest answer):

 2 times

 4 times

 8 times

 16 times

I apologize, but I don't have access to specific external lecture slides or plots to provide you with a precise answer based on those materials. However, I can provide you with a general understanding of the factors that affect solar energy availability at different latitudes and their seasonal variations.

Solar energy received at the Earth's surface depends on several factors, including the angle at which sunlight strikes the surface and the length of daylight hours. These factors vary with latitude and change throughout the year due to the tilt of the Earth's axis.

At higher latitudes, such as 60° N, the angle of sunlight during the winter months (including December) is much shallower compared to lower latitudes like 12° N. Additionally, higher latitudes experience shorter daylight hours during the winter solstice. Both of these factors lead to lower solar energy availability per unit area of ground surface at higher latitudes in December.

In contrast, at 12° N latitude, the angle of sunlight is relatively steep, and the daylight hours are longer in December compared to higher latitudes. Therefore, the daily available solar energy per unit area of ground surface is significantly higher at 12° N latitude compared to 60° N latitude during this time of the year.

To quantify how many times the solar energy availability at 12° N exceeds that at 60° N, you would need specific solar radiation data for those latitudes in December. You could then compare the daily energy values to determine the ratio.

If you have access to lecture slides with plots showing solar radiation data for these latitudes, you should look for the numerical values associated with the solar energy at both 12° N and 60° N latitudes in December. Then, you can calculate the ratio of these values to find out how many times the solar energy at 12° N exceeds that at 60° N.

What is the solar declination angle at 45∘N latitude on 15th September (non-leap year, choose the closest answer)?

2∘

20∘

−2∘

−20∘

To determine the solar declination angle at a specific latitude on a given date, we can use the following formula:

Solar Declination Angle = 23.45° * sin [ 360/365 * (284 + day number) ]

Where:

- 23.45° is the Earth's axial tilt

- "day number" is the day of the year (e.g., January 1 is day 1, February 1 is day 32, etc.)

For September 15 in a non-leap year:

- Day number = 31 (January) + 28 (February) + 31 (March) + 30 (April) + 31 (May) + 30 (June) + 31 (July) + 31 (August) + 14 (September)

- Day number = 282

Now, plug the day number into the formula:

Solar Declination Angle = 23.45° * sin [ 360/365 * (284 + 14) ]

Solar Declination Angle ≈ 0.936 degrees

So, the solar declination angle at 45°N latitude on 15th September in a non-leap year is approximately 0.936 degrees.

What is the hour angle at the location which is 50∘E longitude at 3 PM in a country whose time zone is 47∘E longitude.

24∘

48∘

45∘

60∘

To calculate the hour angle at a specific location and time, you can use the following formula:

Hour Angle (H) = 15° * (Local Solar Time - 12)

Where:

- 15° is the Earth's rotation rate in degrees per hour.

- Local Solar Time is the time when the sun is directly overhead the location.

In this case, you want to calculate the hour angle at a location which is 50°E longitude (2 hours ahead of UTC) at 3 PM in a country whose time zone is 47°E longitude (2 hours ahead of UTC as well).

Step 1: Calculate Local Solar Time

The time difference between 50°E and 47°E is 3 hours. Therefore, when it's 3 PM at 47°E, it's 6 PM at 50°E.

Step 2: Calculate the Hour Angle

Hour Angle (H) = 15° * (Local Solar Time - 12)

Hour Angle (H) = 15° * (6 - 12)

Hour Angle (H) = -90°

The hour angle is -90°, which indicates that the sun is 90 degrees west of the observer's meridian. This corresponds to sunrise at the location.

Keep in mind that the hour angle varies throughout the day, with 0° representing solar noon (when the sun is directly overhead), negative values before solar noon, and positive values after solar noon.


A 3 m2 flat plate collector has heat transfer resistance of 0.2 K/Watt. Its reflectivity is 0.1. At incident solar radiation of 500 W/m2, what is its stagnation temperature? Use the linear relationship discussed in class to evaluate.

 90 K

 180 K

 270 K

 360 K

The stagnation temperature of a flat plate solar collector can be calculated using the equation:

Stagnation Temperature (Ts) = (Solar Irradiance / (Heat Transfer Resistance * (1 - Reflectivity))) + Ambient Temperature

Where:

- Solar Irradiance is the incident solar radiation (in W/m²)

- Heat Transfer Resistance is the thermal resistance of the collector (in K/Watt)

- Reflectivity is the reflectivity of the collector surface

- Ambient Temperature is the temperature of the surroundings (in °C or K)

Given the values:

- Solar Irradiance = 500 W/m²

- Heat Transfer Resistance = 0.2 K/Watt

- Reflectivity = 0.1

Assuming the ambient temperature is 25°C (298.15 K), plug in the values:

Stagnation Temperature (Ts) = (500 / (0.2 * (1 - 0.1))) + 298.15

Stagnation Temperature (Ts) ≈ 1293.45 K

So, the stagnation temperature of the flat plate collector is approximately 1293.45 Kelvin (K).

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