Excess Work Due to Thyristor 1 in Chopper Circuit Calculator

✖Limiting Inductance is the inductor connected in series with thyristor 2 of the chopper circuit with di/dt limiting indicators.ⓘ Limiting Inductance [L_m]			+10% -10%
✖Output Current is defined as the average of a current over one complete cycle at the output terminal of the chopper based circuit.ⓘ Output Current [I_out]			+10% -10%
✖Reverse Recovery Time is the amount of time the current flows in the reverse direction when the forward current simultaneously switches directions due to residual stored charge.ⓘ Reverse Recovery Time [t_rr]			+10% -10%
✖Capacitor Commutation Voltage is the voltage across the capacitor C in the chopper circuit with di/dt limiting inductors.ⓘ Capacitor Commutation Voltage [V_c]			+10% -10%

✖Excess work is the energy stored in the inductor due to reverse recovery time of thyristor 1 of the chopper circuit.ⓘ Excess Work Due to Thyristor 1 in Chopper Circuit [W]

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Formula

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Excess Work Due to Thyristor 1 in Chopper Circuit

Formula

`"W" = 0.5*"L"_{"m"}*(("I"_{"out"}+("t"_{"rr"}*"V"_{"c"})/"L"_{"m"})-"I"_{"out"}^2)`

Example

`"40.52625J"=0.5*"0.21H"*(("0.5A"+("1.8s"*"45V")/"0.21H")-("0.5A")^2)`

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Excess Work Due to Thyristor 1 in Chopper Circuit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Excess Work = 0.5*Limiting Inductance*((Output Current+(Reverse Recovery Time*Capacitor Commutation Voltage)/Limiting Inductance)-Output Current^2)
W = 0.5*L_m*((I_out+(t_rr*V_c)/L_m)-I_out^2)
This formula uses 5 Variables

Variables Used

Excess Work - (Measured in Joule) - Excess work is the energy stored in the inductor due to reverse recovery time of thyristor 1 of the chopper circuit.
Limiting Inductance - (Measured in Henry) - Limiting Inductance is the inductor connected in series with thyristor 2 of the chopper circuit with di/dt limiting indicators.
Output Current - (Measured in Ampere) - Output Current is defined as the average of a current over one complete cycle at the output terminal of the chopper based circuit.
Reverse Recovery Time - (Measured in Second) - Reverse Recovery Time is the amount of time the current flows in the reverse direction when the forward current simultaneously switches directions due to residual stored charge.
Capacitor Commutation Voltage - (Measured in Volt) - Capacitor Commutation Voltage is the voltage across the capacitor C in the chopper circuit with di/dt limiting inductors.

STEP 1: Convert Input(s) to Base Unit

Limiting Inductance: 0.21 Henry --> 0.21 Henry No Conversion Required
Output Current: 0.5 Ampere --> 0.5 Ampere No Conversion Required
Reverse Recovery Time: 1.8 Second --> 1.8 Second No Conversion Required
Capacitor Commutation Voltage: 45 Volt --> 45 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = 0.5*L_m*((I_out+(t_rr*V_c)/L_m)-I_out^2) --> 0.5*0.21*((0.5+(1.8*45)/0.21)-0.5^2)

Evaluating ... ...

W = 40.52625

STEP 3: Convert Result to Output's Unit

40.52625 Joule --> No Conversion Required

FINAL ANSWER

40.52625 Joule <-- Excess Work

(Calculation completed in 00.004 seconds)

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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

Excess Work Due to Thyristor 1 in Chopper Circuit Formula

Excess Work = 0.5*Limiting Inductance*((Output Current+(Reverse Recovery Time*Capacitor Commutation Voltage)/Limiting Inductance)-Output Current^2)
W = 0.5*L_m*((I_out+(t_rr*V_c)/L_m)-I_out^2)

What are chopper circuits?

A chopper is a high static device that converts fixed dc input voltage to a variable dc output voltage directly.

How to Calculate Excess Work Due to Thyristor 1 in Chopper Circuit?

Excess Work Due to Thyristor 1 in Chopper Circuit calculator uses Excess Work = 0.5*Limiting Inductance*((Output Current+(Reverse Recovery Time*Capacitor Commutation Voltage)/Limiting Inductance)-Output Current^2) to calculate the Excess Work, Excess work due to thyristor 1 in chopper circuit is the energy stored in the inductor L_m due to reverse recovery time t_rr of thyristor T₁ of the chopper circuit with di/dt limiting inductors. Excess Work is denoted by W symbol.

How to calculate Excess Work Due to Thyristor 1 in Chopper Circuit using this online calculator? To use this online calculator for Excess Work Due to Thyristor 1 in Chopper Circuit, enter Limiting Inductance (L_m), Output Current (I_out), Reverse Recovery Time (t_rr) & Capacitor Commutation Voltage (V_c) and hit the calculate button. Here is how the Excess Work Due to Thyristor 1 in Chopper Circuit calculation can be explained with given input values -> 40.52625 = 0.5*0.21*((0.5+(1.8*45)/0.21)-0.5^2).

FAQ

What is Excess Work Due to Thyristor 1 in Chopper Circuit?

Excess work due to thyristor 1 in chopper circuit is the energy stored in the inductor L_m due to reverse recovery time t_rr of thyristor T₁ of the chopper circuit with di/dt limiting inductors and is represented as W = 0.5*L_m*((I_out+(t_rr*V_c)/L_m)-I_out^2) or Excess Work = 0.5*Limiting Inductance*((Output Current+(Reverse Recovery Time*Capacitor Commutation Voltage)/Limiting Inductance)-Output Current^2). Limiting Inductance is the inductor connected in series with thyristor 2 of the chopper circuit with di/dt limiting indicators, Output Current is defined as the average of a current over one complete cycle at the output terminal of the chopper based circuit, Reverse Recovery Time is the amount of time the current flows in the reverse direction when the forward current simultaneously switches directions due to residual stored charge & Capacitor Commutation Voltage is the voltage across the capacitor C in the chopper circuit with di/dt limiting inductors.

How to calculate Excess Work Due to Thyristor 1 in Chopper Circuit?

Excess work due to thyristor 1 in chopper circuit is the energy stored in the inductor L_m due to reverse recovery time t_rr of thyristor T₁ of the chopper circuit with di/dt limiting inductors is calculated using Excess Work = 0.5*Limiting Inductance*((Output Current+(Reverse Recovery Time*Capacitor Commutation Voltage)/Limiting Inductance)-Output Current^2). To calculate Excess Work Due to Thyristor 1 in Chopper Circuit, you need Limiting Inductance (L_m), Output Current (I_out), Reverse Recovery Time (t_rr) & Capacitor Commutation Voltage (V_c). With our tool, you need to enter the respective value for Limiting Inductance, Output Current, Reverse Recovery Time & Capacitor Commutation Voltage 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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