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Instantaneous collection efficiency of concentrating collector Calculator

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✖The Useful Heat Gain is the amount of thermal energy collected by a solar concentrating system, contributing to the efficiency of solar energy conversion.ⓘ Useful Heat Gain [q_u]			+10% -10%
✖The Hourly Beam Component is the amount of solar radiation received per hour on a surface, crucial for optimizing the performance of solar energy systems.ⓘ Hourly Beam Component [I_b]			+10% -10%
✖The Tilt Factor for Beam Radiation is a measure that indicates how the angle of a solar collector affects the amount of direct sunlight it receives.ⓘ Tilt Factor for Beam Radiation [r_b]			+10% -10%
✖The Hourly Diffuse Component is the amount of solar radiation received per hour that is scattered and diffused by the atmosphere, impacting solar energy collection efficiency.ⓘ Hourly Diffuse Component [I_d]			+10% -10%
✖The Tilt factor for Diffused Radiation is a measure that adjusts the amount of diffused solar radiation received by a surface based on its angle of inclination.ⓘ Tilt factor for Diffused Radiation [r_d]			+10% -10%
✖The Concentrator Aperture is the opening through which sunlight enters a solar concentrator, playing a crucial role in capturing and directing solar energy for conversion.ⓘ Concentrator Aperture [W]			+10% -10%
✖The Length of Concentrator is the measurement of the physical extent of a solar concentrator, which focuses sunlight onto a receiver for energy conversion.ⓘ Length of Concentrator [L]			+10% -10%

✖The Instantaneous Collection Efficiency is the measure of how effectively a solar collector converts sunlight into usable energy at a specific moment in time.ⓘ Instantaneous collection efficiency of concentrating collector [η_i]

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Instantaneous collection efficiency of concentrating collector Solution

STEP 0: Pre-Calculation Summary

Formula Used

Instantaneous Collection Efficiency = Useful Heat Gain/((Hourly Beam Component*Tilt Factor for Beam Radiation+Hourly Diffuse Component*Tilt factor for Diffused Radiation)*Concentrator Aperture*Length of Concentrator)
η_i = q_u/((I_b*r_b+I_d*r_d)*W*L)
This formula uses 8 Variables

Variables Used

Instantaneous Collection Efficiency - The Instantaneous Collection Efficiency is the measure of how effectively a solar collector converts sunlight into usable energy at a specific moment in time.
Useful Heat Gain - (Measured in Watt) - The Useful Heat Gain is the amount of thermal energy collected by a solar concentrating system, contributing to the efficiency of solar energy conversion.
Hourly Beam Component - (Measured in Watt per Square Meter) - The Hourly Beam Component is the amount of solar radiation received per hour on a surface, crucial for optimizing the performance of solar energy systems.
Tilt Factor for Beam Radiation - The Tilt Factor for Beam Radiation is a measure that indicates how the angle of a solar collector affects the amount of direct sunlight it receives.
Hourly Diffuse Component - (Measured in Watt per Square Meter) - The Hourly Diffuse Component is the amount of solar radiation received per hour that is scattered and diffused by the atmosphere, impacting solar energy collection efficiency.
Tilt factor for Diffused Radiation - The Tilt factor for Diffused Radiation is a measure that adjusts the amount of diffused solar radiation received by a surface based on its angle of inclination.
Concentrator Aperture - (Measured in Meter) - The Concentrator Aperture is the opening through which sunlight enters a solar concentrator, playing a crucial role in capturing and directing solar energy for conversion.
Length of Concentrator - (Measured in Meter) - The Length of Concentrator is the measurement of the physical extent of a solar concentrator, which focuses sunlight onto a receiver for energy conversion.

STEP 1: Convert Input(s) to Base Unit

Useful Heat Gain: 3700 Watt --> 3700 Watt No Conversion Required
Hourly Beam Component: 180 Joule per Second per Square Meter --> 180 Watt per Square Meter (Check conversion here)
Tilt Factor for Beam Radiation: 0.25 --> No Conversion Required
Hourly Diffuse Component: 9 Joule per Second per Square Meter --> 9 Watt per Square Meter (Check conversion here)
Tilt factor for Diffused Radiation: 1.38513E-06 --> No Conversion Required
Concentrator Aperture: 7 Meter --> 7 Meter No Conversion Required
Length of Concentrator: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_i = q_u/((I_b*r_b+I_d*r_d)*W*L) --> 3700/((180*0.25+9*1.38513E-06)*7*15)

Evaluating ... ...

η_i = 0.78306856613843

STEP 3: Convert Result to Output's Unit

0.78306856613843 --> No Conversion Required

FINAL ANSWER

0.78306856613843 ≈ 0.783069 <-- Instantaneous Collection Efficiency

(Calculation completed in 00.004 seconds)

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< Concentrating Collectors Calculators

Inclination of reflectors

LaTeX Go Inclination of Reflector = (pi-Tilt Angle-2*Latitude Angle+2*Declination Angle)/3

Useful heat gain in concentrating collector

LaTeX Go Useful Heat Gain = Effective Area of Aperture*Solar Beam Radiation-Heat Loss from Collector

Maximum possible concentration ratio of 3-D concentrator

LaTeX Go Maximum Concentration Ratio = 2/(1-cos(2*Acceptance Angle for 3D))

Maximum possible concentration ratio of 2-D concentrator

LaTeX Go Maximum Concentration Ratio = 1/sin(Acceptance Angle for 2D)

Instantaneous collection efficiency of concentrating collector Formula

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What is Instantaneous Collection Efficiency?

Instantaneous collection efficiency is the ratio of useful thermal energy gained by a solar collector to the total solar energy incident on its surface at a specific moment. It reflects the collector's performance under prevailing conditions, including solar intensity, ambient temperature, and heat losses. This efficiency helps evaluate the real-time effectiveness of solar thermal systems in converting solar energy into usable heat.

How to Calculate Instantaneous collection efficiency of concentrating collector?

Instantaneous collection efficiency of concentrating collector calculator uses Instantaneous Collection Efficiency = Useful Heat Gain/((Hourly Beam Component*Tilt Factor for Beam Radiation+Hourly Diffuse Component*Tilt factor for Diffused Radiation)*Concentrator Aperture*Length of Concentrator) to calculate the Instantaneous Collection Efficiency, The Instantaneous collection efficiency of concentrating collector formula is defined as the ratio of useful heat gain to the radiation incident on the collector. Instantaneous Collection Efficiency is denoted by η_i symbol.

How to calculate Instantaneous collection efficiency of concentrating collector using this online calculator? To use this online calculator for Instantaneous collection efficiency of concentrating collector, enter Useful Heat Gain (q_u), Hourly Beam Component (I_b), Tilt Factor for Beam Radiation (r_b), Hourly Diffuse Component (I_d), Tilt factor for Diffused Radiation (r_d), Concentrator Aperture (W) & Length of Concentrator (L) and hit the calculate button. Here is how the Instantaneous collection efficiency of concentrating collector calculation can be explained with given input values -> 0.395889 = 3700/((180*0.25+9*1.38513E-06)*7*15).

FAQ

What is Instantaneous collection efficiency of concentrating collector?

The Instantaneous collection efficiency of concentrating collector formula is defined as the ratio of useful heat gain to the radiation incident on the collector and is represented as η_i = q_u/((I_b*r_b+I_d*r_d)*W*L) or Instantaneous Collection Efficiency = Useful Heat Gain/((Hourly Beam Component*Tilt Factor for Beam Radiation+Hourly Diffuse Component*Tilt factor for Diffused Radiation)*Concentrator Aperture*Length of Concentrator). The Useful Heat Gain is the amount of thermal energy collected by a solar concentrating system, contributing to the efficiency of solar energy conversion, The Hourly Beam Component is the amount of solar radiation received per hour on a surface, crucial for optimizing the performance of solar energy systems, The Tilt Factor for Beam Radiation is a measure that indicates how the angle of a solar collector affects the amount of direct sunlight it receives, The Hourly Diffuse Component is the amount of solar radiation received per hour that is scattered and diffused by the atmosphere, impacting solar energy collection efficiency, The Tilt factor for Diffused Radiation is a measure that adjusts the amount of diffused solar radiation received by a surface based on its angle of inclination, The Concentrator Aperture is the opening through which sunlight enters a solar concentrator, playing a crucial role in capturing and directing solar energy for conversion & The Length of Concentrator is the measurement of the physical extent of a solar concentrator, which focuses sunlight onto a receiver for energy conversion.

How to calculate Instantaneous collection efficiency of concentrating collector?

The Instantaneous collection efficiency of concentrating collector formula is defined as the ratio of useful heat gain to the radiation incident on the collector is calculated using Instantaneous Collection Efficiency = Useful Heat Gain/((Hourly Beam Component*Tilt Factor for Beam Radiation+Hourly Diffuse Component*Tilt factor for Diffused Radiation)*Concentrator Aperture*Length of Concentrator). To calculate Instantaneous collection efficiency of concentrating collector, you need Useful Heat Gain (q_u), Hourly Beam Component (I_b), Tilt Factor for Beam Radiation (r_b), Hourly Diffuse Component (I_d), Tilt factor for Diffused Radiation (r_d), Concentrator Aperture (W) & Length of Concentrator (L). With our tool, you need to enter the respective value for Useful Heat Gain, Hourly Beam Component, Tilt Factor for Beam Radiation, Hourly Diffuse Component, Tilt factor for Diffused Radiation, Concentrator Aperture & Length of Concentrator and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Instantaneous Collection Efficiency?

In this formula, Instantaneous Collection Efficiency uses Useful Heat Gain, Hourly Beam Component, Tilt Factor for Beam Radiation, Hourly Diffuse Component, Tilt factor for Diffused Radiation, Concentrator Aperture & Length of Concentrator. We can use 1 other way(s) to calculate the same, which is/are as follows -

Instantaneous Collection Efficiency = Useful Heat Gain/(Hourly Beam Component*Tilt Factor for Beam Radiation*Concentrator Aperture*Length of Concentrator)

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