Maximum power output of cell Calculator

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Photovoltaic Conversion

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✖Voltage at Maximum Power is the voltage at which maximum power occurs.ⓘ Voltage at Maximum Power [V_m]			+10% -10%
✖Temperature in Kelvin is the temperature (degree or intensity of heat present in a substance or object) of a body or substance measured in Kelvin.ⓘ Temperature in Kelvin [T]			+10% -10%
✖Short Circuit Current in Solar Cell is the current through the solar cell when the voltage across the solar cell is zero.ⓘ Short Circuit Current in Solar cell [I_sc]			+10% -10%
✖Reverse Saturation Current is caused by the diffusion of minority carriers from the neutral regions to the depletion region in a semiconductor diode.ⓘ Reverse Saturation Current [I_o]			+10% -10%

✖Maximum Power Output of cell is defined as the bias potential at which the solar cell outputs the maximum net power.ⓘ Maximum power output of cell [P_m]

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Formula

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Maximum power output of cell

Formula

`"P"_{"m"} = ((("[Charge-e]"*"V"_{"m"}^2)/("[BoltZ]"*"T"))/(1+("[Charge-e]"*"V"_{"m"})/("[BoltZ]"*"T")))*("I"_{"sc"}+"I"_{"o"})`

Example

`"34.84189W"=((("[Charge-e]"*("0.46V")^2)/("[BoltZ]"*"300K"))/(1+("[Charge-e]"*"0.46V")/("[BoltZ]"*"300K")))*("80A"+"0.000004A")`

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Maximum power output of cell Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Power Output of cell = ((([Charge-e]*Voltage at Maximum Power^2)/([BoltZ]*Temperature in Kelvin))/(1+([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin)))*(Short Circuit Current in Solar cell+Reverse Saturation Current)
P_m = ((([Charge-e]*V_m^2)/([BoltZ]*T))/(1+([Charge-e]*V_m)/([BoltZ]*T)))*(I_sc+I_o)
This formula uses 2 Constants, 5 Variables

Constants Used

[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23

Variables Used

Maximum Power Output of cell - (Measured in Watt) - Maximum Power Output of cell is defined as the bias potential at which the solar cell outputs the maximum net power.
Voltage at Maximum Power - (Measured in Volt) - Voltage at Maximum Power is the voltage at which maximum power occurs.
Temperature in Kelvin - (Measured in Kelvin) - Temperature in Kelvin is the temperature (degree or intensity of heat present in a substance or object) of a body or substance measured in Kelvin.
Short Circuit Current in Solar cell - (Measured in Ampere) - Short Circuit Current in Solar Cell is the current through the solar cell when the voltage across the solar cell is zero.
Reverse Saturation Current - (Measured in Ampere) - Reverse Saturation Current is caused by the diffusion of minority carriers from the neutral regions to the depletion region in a semiconductor diode.

STEP 1: Convert Input(s) to Base Unit

Voltage at Maximum Power: 0.46 Volt --> 0.46 Volt No Conversion Required
Temperature in Kelvin: 300 Kelvin --> 300 Kelvin No Conversion Required
Short Circuit Current in Solar cell: 80 Ampere --> 80 Ampere No Conversion Required
Reverse Saturation Current: 4E-06 Ampere --> 4E-06 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_m = ((([Charge-e]*V_m^2)/([BoltZ]*T))/(1+([Charge-e]*V_m)/([BoltZ]*T)))*(I_sc+I_o) --> ((([Charge-e]*0.46^2)/([BoltZ]*300))/(1+([Charge-e]*0.46)/([BoltZ]*300)))*(80+4E-06)

Evaluating ... ...

P_m = 34.8418883921879

STEP 3: Convert Result to Output's Unit

34.8418883921879 Watt --> No Conversion Required

FINAL ANSWER

34.8418883921879 ≈ 34.84189 Watt <-- Maximum Power Output of cell

(Calculation completed in 00.004 seconds)

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Created by ADITYA RAWAT

DIT UNIVERSITY (DITU), Dehradun

ADITYA RAWAT has created this Calculator and 50+ more calculators!

Verified by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

Saurabh Patil has verified this Calculator and 25+ more calculators!

< 20 Photovoltaic Conversion Calculators

Reverse Saturation Current given Maximum Power of Cell

Go Reverse Saturation Current = (Maximum Power Output of cell*((1+([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin))/(([Charge-e]*Voltage at Maximum Power^2)/([BoltZ]*Temperature in Kelvin))))-Short Circuit Current in Solar cell

Short Circuit Current given Maximum Power of Cell

Go Short Circuit Current in Solar cell = (Maximum Power Output of cell*((1+([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin))/(([Charge-e]*Voltage at Maximum Power^2)/([BoltZ]*Temperature in Kelvin))))-Reverse Saturation Current

Maximum power output of cell

Go Maximum Power Output of cell = ((([Charge-e]*Voltage at Maximum Power^2)/([BoltZ]*Temperature in Kelvin))/(1+([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin)))*(Short Circuit Current in Solar cell+Reverse Saturation Current)

Load current corresponding to Maximum power

Go Load Current in Solar cell = ((([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin))/(1+([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin)))*(Short Circuit Current in Solar cell+Reverse Saturation Current)

Short Circuit Current given Load Current at Maximum Power

Go Short Circuit Current in Solar cell = (Current at Maximum Power*((1+([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin))/(([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin))))-Reverse Saturation Current

Reverse Saturation Current given Load current at Maximum Power

Go Reverse Saturation Current = (Maximum Current flow*((1+([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin))/(([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin))))-Short Circuit Current in Solar cell

Short Circuit Current given Load Current and Reverse Saturation Current

Go Short Circuit Current in Solar cell = Load Current in Solar cell+(Reverse Saturation Current*(e^(([Charge-e]*Voltage in solar cell)/(Ideality Factor in Solar Cells*[BoltZ]*Temperature in Kelvin))-1))

Reverse Saturation Current given Load Current and Short Circuit Current

Go Reverse Saturation Current = (Short Circuit Current in Solar cell-Load Current in Solar cell)/(e^(([Charge-e]*Voltage in solar cell)/(Ideality Factor in Solar Cells*[BoltZ]*Temperature in Kelvin))-1)

Load current in Solar cell

Go Load Current in Solar cell = Short Circuit Current in Solar cell-(Reverse Saturation Current*(e^(([Charge-e]*Voltage in solar cell)/(Ideality Factor in Solar Cells*[BoltZ]*Temperature in Kelvin))-1))

Reverse Saturation Current given Power of Photovoltaic Cell

Go Reverse Saturation Current = (Short Circuit Current in Solar cell-(Power of Photovoltaic cell/Voltage in solar cell))*(1/(e^(([Charge-e]*Voltage in solar cell)/([BoltZ]*Temperature in Kelvin))-1))

Short Circuit Current given Power of Photovoltaic Cell

Go Short Circuit Current in Solar cell = (Power of Photovoltaic cell/Voltage in solar cell)+(Reverse Saturation Current*(e^(([Charge-e]*Voltage in solar cell)/([BoltZ]*Temperature in Kelvin))-1))

Power of Photovoltaic cell

Go Power of Photovoltaic cell = (Short Circuit Current in Solar cell- (Reverse Saturation Current*(e^(([Charge-e]*Voltage in solar cell)/([BoltZ]*Temperature in Kelvin))-1)))*Voltage in solar cell

Open Circuit Voltage given Reverse Saturation Current

Go Open Circuit Voltage = (([BoltZ]*Temperature in Kelvin)/[Charge-e])*(ln((Short Circuit Current in Solar cell/Reverse Saturation Current)+1))

Fill Factor of Solar Cell given Maximum Conversion Efficiency

Go Fill Factor of Solar Cell = (Maximum Conversion Efficiency*Flux Incident on Top Cover*Area of Solar Cell)/(Short Circuit Current in Solar cell*Open Circuit Voltage)

Short Circuit Current given Maximum Conversion Efficiency

Go Short Circuit Current in Solar cell = (Maximum Conversion Efficiency*Flux Incident on Top Cover*Area of Solar Cell)/(Fill Factor of Solar Cell*Open Circuit Voltage)

Short Circuit Current given Fill Factor of Cell

Go Short Circuit Current in Solar cell = (Current at Maximum Power*Voltage at Maximum Power)/(Open Circuit Voltage*Fill Factor of Solar Cell)

Fill Factor of Cell

Go Fill Factor of Solar Cell = (Current at Maximum Power*Voltage at Maximum Power)/(Short Circuit Current in Solar cell*Open Circuit Voltage)

Voltage given Fill Factor of Cell

Go Voltage at Maximum Power = (Fill Factor of Solar Cell*Short Circuit Current in Solar cell*Open Circuit Voltage)/Current at Maximum Power

Incident Solar Flux given Maximum Conversion Efficiency

Go Flux Incident on Top Cover = (Current at Maximum Power*Voltage at Maximum Power)/(Maximum Conversion Efficiency*Area of Solar Cell)

Maximum Conversion Efficiency

Go Maximum Conversion Efficiency = (Current at Maximum Power*Voltage at Maximum Power)/(Flux Incident on Top Cover*Area of Solar Cell)

Maximum power output of cell Formula

How does a photovoltaic cell work?

Solar Photovoltaic (PV) cells generate electricity by absorbing sunlight and using that light energy to create an electrical current. There are many PV cells within a single solar panel, and the current created by all of the cells together adds up to enough electricity to help power your school, home and businesses.

How to Calculate Maximum power output of cell?

Maximum power output of cell calculator uses Maximum Power Output of cell = ((([Charge-e]*Voltage at Maximum Power^2)/([BoltZ]*Temperature in Kelvin))/(1+([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin)))*(Short Circuit Current in Solar cell+Reverse Saturation Current) to calculate the Maximum Power Output of cell, The Maximum power output of cell is defined as the bias potential at which the solar cell outputs the maximum net power. Maximum Power Output of cell is denoted by P_m symbol.

How to calculate Maximum power output of cell using this online calculator? To use this online calculator for Maximum power output of cell, enter Voltage at Maximum Power (V_m), Temperature in Kelvin (T), Short Circuit Current in Solar cell (I_sc) & Reverse Saturation Current (I_o) and hit the calculate button. Here is how the Maximum power output of cell calculation can be explained with given input values -> 0.078396 = ((([Charge-e]*0.46^2)/([BoltZ]*300))/(1+([Charge-e]*0.46)/([BoltZ]*300)))*(80+4E-06).

FAQ

What is Maximum power output of cell?

The Maximum power output of cell is defined as the bias potential at which the solar cell outputs the maximum net power and is represented as P_m = ((([Charge-e]*V_m^2)/([BoltZ]*T))/(1+([Charge-e]*V_m)/([BoltZ]*T)))*(I_sc+I_o) or Maximum Power Output of cell = ((([Charge-e]*Voltage at Maximum Power^2)/([BoltZ]*Temperature in Kelvin))/(1+([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin)))*(Short Circuit Current in Solar cell+Reverse Saturation Current). Voltage at Maximum Power is the voltage at which maximum power occurs, Temperature in Kelvin is the temperature (degree or intensity of heat present in a substance or object) of a body or substance measured in Kelvin, Short Circuit Current in Solar Cell is the current through the solar cell when the voltage across the solar cell is zero & Reverse Saturation Current is caused by the diffusion of minority carriers from the neutral regions to the depletion region in a semiconductor diode.

How to calculate Maximum power output of cell?

The Maximum power output of cell is defined as the bias potential at which the solar cell outputs the maximum net power is calculated using Maximum Power Output of cell = ((([Charge-e]*Voltage at Maximum Power^2)/([BoltZ]*Temperature in Kelvin))/(1+([Charge-e]*Voltage at Maximum Power)/([BoltZ]*Temperature in Kelvin)))*(Short Circuit Current in Solar cell+Reverse Saturation Current). To calculate Maximum power output of cell, you need Voltage at Maximum Power (V_m), Temperature in Kelvin (T), Short Circuit Current in Solar cell (I_sc) & Reverse Saturation Current (I_o). With our tool, you need to enter the respective value for Voltage at Maximum Power, Temperature in Kelvin, Short Circuit Current in Solar cell & Reverse Saturation Current and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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