Critical Inductance Calculator

✖Load Voltage is defined as the magnitude of voltage over a complete cycle in load connected to the chopper.ⓘ Load Voltage [V_L]			+10% -10%
✖Source voltage is defined as the voltage or potential difference of the source which is supplying voltage to the chopper.ⓘ Source Voltage [V_s]			+10% -10%
✖Chopping frequency refers to the rate at which a signal is turned on and off, or modulated, in a switching circuit. A higher chopping frequency can improve accuracy and reduce noise.ⓘ Chopping Frequency [f_c]			+10% -10%
✖Load power is the load side power.ⓘ Load Power [P_L]			+10% -10%

✖Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it.ⓘ Critical Inductance [L]

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Formula

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Critical Inductance

Formula

`"L" = "V"_{"L"}^2*(("V"_{"s"}-"V"_{"L"})/(2*"f"_{"c"}*"V"_{"s"}*"P"_{"L"}))`

Example

`"60.60606H"=("20V")^2*(("100V"-"20V")/(2*"0.44Hz"*"100V"*"6W"))`

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Critical Inductance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inductance = Load Voltage^2*((Source Voltage-Load Voltage)/(2*Chopping Frequency*Source Voltage*Load Power))
L = V_L^2*((V_s-V_L)/(2*f_c*V_s*P_L))
This formula uses 5 Variables

Variables Used

Inductance - (Measured in Henry) - Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it.
Load Voltage - (Measured in Volt) - Load Voltage is defined as the magnitude of voltage over a complete cycle in load connected to the chopper.
Source Voltage - (Measured in Volt) - Source voltage is defined as the voltage or potential difference of the source which is supplying voltage to the chopper.
Chopping Frequency - (Measured in Hertz) - Chopping frequency refers to the rate at which a signal is turned on and off, or modulated, in a switching circuit. A higher chopping frequency can improve accuracy and reduce noise.
Load Power - (Measured in Watt) - Load power is the load side power.

STEP 1: Convert Input(s) to Base Unit

Load Voltage: 20 Volt --> 20 Volt No Conversion Required
Source Voltage: 100 Volt --> 100 Volt No Conversion Required
Chopping Frequency: 0.44 Hertz --> 0.44 Hertz No Conversion Required
Load Power: 6 Watt --> 6 Watt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = V_L^2*((V_s-V_L)/(2*f_c*V_s*P_L)) --> 20^2*((100-20)/(2*0.44*100*6))

Evaluating ... ...

L = 60.6060606060606

STEP 3: Convert Result to Output's Unit

60.6060606060606 Henry --> No Conversion Required

FINAL ANSWER

60.6060606060606 ≈ 60.60606 Henry <-- Inductance

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power Electronics » Choppers » Chopper Core Factors » Critical Inductance

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Created by Gokulraj

Anna university (Au), Tamilnadu

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Chandigarh University (CU), Punjab

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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

Critical Inductance Formula

Inductance = Load Voltage^2*((Source Voltage-Load Voltage)/(2*Chopping Frequency*Source Voltage*Load Power))
L = V_L^2*((V_s-V_L)/(2*f_c*V_s*P_L))

What is the role of inductor in a chopper circuit?

Inductors are typically used as energy storage devices in switched-mode power devices to produce DC current. The inductor, which stores energy, supplies energy to the circuit to maintain current flow during “off” switching periods, thus enabling topographies where output voltage exceeds input voltage.

How to Calculate Critical Inductance?

Critical Inductance calculator uses Inductance = Load Voltage^2*((Source Voltage-Load Voltage)/(2*Chopping Frequency*Source Voltage*Load Power)) to calculate the Inductance, The Critical Inductance L is the inductance value by which the output current falls to zero at t = T during turn OFF period of chopper. Inductance is denoted by L symbol.

How to calculate Critical Inductance using this online calculator? To use this online calculator for Critical Inductance, enter Load Voltage (V_L), Source Voltage (V_s), Chopping Frequency (f_c) & Load Power (P_L) and hit the calculate button. Here is how the Critical Inductance calculation can be explained with given input values -> 60.60606 = 20^2*((100-20)/(2*0.44*100*6)).

FAQ

What is Critical Inductance?

The Critical Inductance L is the inductance value by which the output current falls to zero at t = T during turn OFF period of chopper and is represented as L = V_L^2*((V_s-V_L)/(2*f_c*V_s*P_L)) or Inductance = Load Voltage^2*((Source Voltage-Load Voltage)/(2*Chopping Frequency*Source Voltage*Load Power)). Load Voltage is defined as the magnitude of voltage over a complete cycle in load connected to the chopper, Source voltage is defined as the voltage or potential difference of the source which is supplying voltage to the chopper, Chopping frequency refers to the rate at which a signal is turned on and off, or modulated, in a switching circuit. A higher chopping frequency can improve accuracy and reduce noise & Load power is the load side power.

How to calculate Critical Inductance?

The Critical Inductance L is the inductance value by which the output current falls to zero at t = T during turn OFF period of chopper is calculated using Inductance = Load Voltage^2*((Source Voltage-Load Voltage)/(2*Chopping Frequency*Source Voltage*Load Power)). To calculate Critical Inductance, you need Load Voltage (V_L), Source Voltage (V_s), Chopping Frequency (f_c) & Load Power (P_L). With our tool, you need to enter the respective value for Load Voltage, Source Voltage, Chopping Frequency & Load Power 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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