Energy Released by Inductor to Load Calculator

✖Output Voltage of a chopper is the voltage that is applied to the load.ⓘ Output Voltage [V_o]			+10% -10%
✖Input Voltage refers to the electrical potential supplied to a device or circuit as an energy source, typically measured in volts, which powers and operates the equipment.ⓘ Input Voltage [V_in]			+10% -10%
✖Current 1 in a chopper is the amount of current that flows through the chopper circuit.ⓘ Current 1 [I₁]			+10% -10%
✖Current 2 in a chopper is the amount of current that flows through the chopper circuit.ⓘ Current 2 [I₂]			+10% -10%
✖Circuit Turn Off Time is defined as duration taken for the chopper to turn off or open its switching elements (usually thyristors or SCRs) once the decision is made to interrupt the current flow.ⓘ Circuit Turn Off Time [T_c]			+10% -10%

✖Energy Released is defined as Energy released by chopper when switch is OFF.ⓘ Energy Released by Inductor to Load [W_off]

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Formula

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Energy Released by Inductor to Load

Formula

`"W"_{"off"} = ("V"_{"o"}-"V"_{"in"})*(("I"_{"1"}+"I"_{"2"})/2)*"T"_{"c"}`

Example

`"652.34J"=("125.7V"-"0.25V")*(("12A"+"14A")/2)*"0.4s"`

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Energy Released by Inductor to Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy Released = (Output Voltage-Input Voltage)*((Current 1+Current 2)/2)*Circuit Turn Off Time
W_off = (V_o-V_in)*((I₁+I₂)/2)*T_c
This formula uses 6 Variables

Variables Used

Energy Released - (Measured in Joule) - Energy Released is defined as Energy released by chopper when switch is OFF.
Output Voltage - (Measured in Volt) - Output Voltage of a chopper is the voltage that is applied to the load.
Input Voltage - (Measured in Volt) - Input Voltage refers to the electrical potential supplied to a device or circuit as an energy source, typically measured in volts, which powers and operates the equipment.
Current 1 - (Measured in Ampere) - Current 1 in a chopper is the amount of current that flows through the chopper circuit.
Current 2 - (Measured in Ampere) - Current 2 in a chopper is the amount of current that flows through the chopper circuit.
Circuit Turn Off Time - (Measured in Second) - Circuit Turn Off Time is defined as duration taken for the chopper to turn off or open its switching elements (usually thyristors or SCRs) once the decision is made to interrupt the current flow.

STEP 1: Convert Input(s) to Base Unit

Output Voltage: 125.7 Volt --> 125.7 Volt No Conversion Required
Input Voltage: 0.25 Volt --> 0.25 Volt No Conversion Required
Current 1: 12 Ampere --> 12 Ampere No Conversion Required
Current 2: 14 Ampere --> 14 Ampere No Conversion Required
Circuit Turn Off Time: 0.4 Second --> 0.4 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_off = (V_o-V_in)*((I₁+I₂)/2)*T_c --> (125.7-0.25)*((12+14)/2)*0.4

Evaluating ... ...

W_off = 652.34

STEP 3: Convert Result to Output's Unit

652.34 Joule --> No Conversion Required

FINAL ANSWER

652.34 Joule <-- Energy Released

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power Electronics » Choppers » Chopper Core Factors » Energy Released by Inductor to Load

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Created by Pratik Kumar Singh

Vellore Institute of Technology (VIT), Vellore

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< 13 Chopper Core Factors Calculators

Excess Work Due to Thyristor 1 in Chopper Circuit

Go Excess Work = 0.5*Limiting Inductance*((Output Current+(Reverse Recovery Time*Capacitor Commutation Voltage)/Limiting Inductance)-Output Current^2)

Critical Inductance

Go Inductance = Load Voltage^2*((Source Voltage-Load Voltage)/(2*Chopping Frequency*Source Voltage*Load Power))

Energy Released by Inductor to Load

Go Energy Released = (Output Voltage-Input Voltage)*((Current 1+Current 2)/2)*Circuit Turn Off Time

Peak to Peak Ripple Voltage of Capacitor

Go Ripple Voltage in Buck Converter = (1/Capacitance)*int((Change in Current/4)*x,x,0,Time/2)

Energy Input to Inductor from Source

Go Energy Input = Source Voltage*((Current 1+Current 2)/2)*Chopper On Time

Critical Capacitance

Go Critical Capacitance = (Output Current/(2*Source Voltage))*(1/Maximum Frequency)

Maximum Ripple Current Resistive Load

Go Ripple Current = Source Voltage/(4*Inductance*Chopping Frequency)

AC Ripple Voltage

Go Ripple Voltage = sqrt(RMS Voltage^2-Load Voltage^2)

Ripple Factor of DC Chopper

Go Ripple Factor = sqrt((1/Duty Cycle)-Duty Cycle)

Chopping Period

Go Chopping Period = Chopper On Time+Circuit Turn Off Time

Chopping Frequency

Go Chopping Frequency = Duty Cycle/Chopper On Time

Duty Cycle

Go Duty Cycle = Chopper On Time/Chopping Period

Effective Input Resistance

Go Input Resistance = Resistance/Duty Cycle

Energy Released by Inductor to Load Formula

Energy Released = (Output Voltage-Input Voltage)*((Current 1+Current 2)/2)*Circuit Turn Off Time
W_off = (V_o-V_in)*((I₁+I₂)/2)*T_c

How does the switching frequency of the chopper affect the energy transfer efficiency ?

The switching frequency of a chopper significantly affects energy transfer efficiency. Higher switching frequencies reduce energy losses due to smaller voltage and current ripples, resulting in improved efficiency. However, higher frequencies may increase switching-related losses and demand advanced components. In contrast, lower switching frequencies may decrease switching losses but often lead to larger voltage and current ripples, reducing efficiency. Therefore, finding the optimal switching frequency is crucial to balance these trade-offs and maximize energy transfer efficiency in chopper circuits.

How to Calculate Energy Released by Inductor to Load?

Energy Released by Inductor to Load calculator uses Energy Released = (Output Voltage-Input Voltage)*((Current 1+Current 2)/2)*Circuit Turn Off Time to calculate the Energy Released, The Energy Released by Inductor to Load formula is defined as energy released by the chopper through load when the switch is in OFF state. Energy Released is denoted by W_off symbol.

How to calculate Energy Released by Inductor to Load using this online calculator? To use this online calculator for Energy Released by Inductor to Load, enter Output Voltage (V_o), Input Voltage (V_in), Current 1 (I₁), Current 2 (I₂) & Circuit Turn Off Time (T_c) and hit the calculate button. Here is how the Energy Released by Inductor to Load calculation can be explained with given input values -> 652.34 = (125.7-0.25)*((12+14)/2)*0.4.

FAQ

What is Energy Released by Inductor to Load?

The Energy Released by Inductor to Load formula is defined as energy released by the chopper through load when the switch is in OFF state and is represented as W_off = (V_o-V_in)*((I₁+I₂)/2)*T_c or Energy Released = (Output Voltage-Input Voltage)*((Current 1+Current 2)/2)*Circuit Turn Off Time. Output Voltage of a chopper is the voltage that is applied to the load, Input Voltage refers to the electrical potential supplied to a device or circuit as an energy source, typically measured in volts, which powers and operates the equipment, Current 1 in a chopper is the amount of current that flows through the chopper circuit, Current 2 in a chopper is the amount of current that flows through the chopper circuit & Circuit Turn Off Time is defined as duration taken for the chopper to turn off or open its switching elements (usually thyristors or SCRs) once the decision is made to interrupt the current flow.

How to calculate Energy Released by Inductor to Load?

The Energy Released by Inductor to Load formula is defined as energy released by the chopper through load when the switch is in OFF state is calculated using Energy Released = (Output Voltage-Input Voltage)*((Current 1+Current 2)/2)*Circuit Turn Off Time. To calculate Energy Released by Inductor to Load, you need Output Voltage (V_o), Input Voltage (V_in), Current 1 (I₁), Current 2 (I₂) & Circuit Turn Off Time (T_c). With our tool, you need to enter the respective value for Output Voltage, Input Voltage, Current 1, Current 2 & Circuit Turn Off Time 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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