Excess work due to thyristor 1 in chopper circuit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Excess energy in chopper circuit = 0.5*Reverse di/dt limiting inductance*((Load current of chopper circuit+(Reverse Recovery Time*Commutation capacitor voltage)/Reverse di/dt limiting inductance)-(Load current of chopper circuit^2))
WR = 0.5*Lm*((Im+(trr*V0)/Lm)-(Im^2))
This formula uses 5 Variables
Variables Used
Excess energy in chopper circuit - (Measured in Joule) - Excess energy in chopper circuit is the energy stored in the inductor Lm due to reverse recovery time of thyristor T1 of the chopper circuit.
Reverse di/dt limiting inductance - (Measured in Henry) - Reverse di/dt limiting inductance is the inductor connected in series with thyristor 2 of the chopper circuit with di/dt limiting indicators.
Load current of chopper circuit - (Measured in Ampere) - Load current of chopper circuit is the current flowing across the load of the 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.
Commutation capacitor voltage - (Measured in Volt) - Commutation capacitor 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
Reverse di/dt limiting inductance: 20 Millihenry --> 0.02 Henry (Check conversion here)
Load current of chopper circuit: 50 Ampere --> 50 Ampere No Conversion Required
Reverse Recovery Time: 1.8 Second --> 1.8 Second No Conversion Required
Commutation capacitor voltage: 50 Volt --> 50 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
WR = 0.5*Lm*((Im+(trr*V0)/Lm)-(Im^2)) --> 0.5*0.02*((50+(1.8*50)/0.02)-(50^2))
Evaluating ... ...
WR = 20.5
STEP 3: Convert Result to Output's Unit
20.5 Joule --> No Conversion Required
FINAL ANSWER
20.5 Joule <-- Excess energy in chopper circuit
(Calculation completed in 00.020 seconds)

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Excess work due to thyristor 1 in chopper circuit
Excess energy in chopper circuit = 0.5*Reverse di/dt limiting inductance*((Load current of chopper circuit+(Reverse Recovery Time*Commutation capacitor voltage)/Reverse di/dt limiting inductance)-(Load current of chopper circuit^2)) Go
Worst case steady state voltage across first thyristor in series connected thyristors
Worst case steady state voltage of thyristor 1 = ((Resultant series voltage of thyristor string+(Number of thyristors in series thyristor string-1)*Resistance*Off state current spread of thyristor string))/Number of thyristors in series thyristor string Go
Voltage across first thyristor in series-connected thyristors
Voltage across thyristor 1 in thyristor string = (Resultant series voltage of thyristor string+(Number of thyristors in series thyristor string-1)*Resistance*Off state current spread of thyristor string)/Number of thyristors in series thyristor string Go
Resultant series voltage of series connected thyristor string
Resultant series voltage of thyristor string = Number of thyristors in series thyristor string*Voltage across thyristor 1 in thyristor string-(Number of thyristors in series thyristor string-1)*Resistance*Off state current spread of thyristor string Go
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Derating factor of series connected thyristor string
Derating factor of thyristor string = 1-(Resultant series voltage of thyristor string/(Number of thyristors in series thyristor string*Worst case steady state voltage of thyristor 1)) Go
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Collector to base leakage current = Collector current-(Common-base current gain.*Emitter current) Go
Discharging current of dv/dt protection thyristor circuits
Discharging current of thyristor circuit = Input voltage/((Resistance 1+Resistance 2)) Go

Excess work due to thyristor 1 in chopper circuit Formula

Excess energy in chopper circuit = 0.5*Reverse di/dt limiting inductance*((Load current of chopper circuit+(Reverse Recovery Time*Commutation capacitor voltage)/Reverse di/dt limiting inductance)-(Load current of chopper circuit^2))
WR = 0.5*Lm*((Im+(trr*V0)/Lm)-(Im^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 energy in chopper circuit = 0.5*Reverse di/dt limiting inductance*((Load current of chopper circuit+(Reverse Recovery Time*Commutation capacitor voltage)/Reverse di/dt limiting inductance)-(Load current of chopper circuit^2)) to calculate the Excess energy in chopper circuit, Excess work due to thyristor 1 in chopper circuit is the energy stored in the inductor Lm due to reverse recovery time trr of thyristor T1 of the chopper circuit with di/dt limiting inductors. Excess energy in chopper circuit is denoted by WR 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 Reverse di/dt limiting inductance (Lm), Load current of chopper circuit (Im), Reverse Recovery Time (trr) & Commutation capacitor voltage (V0) 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 -> 20.5 = 0.5*0.02*((50+(1.8*50)/0.02)-(50^2)).

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 Lm due to reverse recovery time trr of thyristor T1 of the chopper circuit with di/dt limiting inductors and is represented as WR = 0.5*Lm*((Im+(trr*V0)/Lm)-(Im^2)) or Excess energy in chopper circuit = 0.5*Reverse di/dt limiting inductance*((Load current of chopper circuit+(Reverse Recovery Time*Commutation capacitor voltage)/Reverse di/dt limiting inductance)-(Load current of chopper circuit^2)). Reverse di/dt limiting inductance is the inductor connected in series with thyristor 2 of the chopper circuit with di/dt limiting indicators, Load current of chopper circuit is the current flowing across the load of the 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 & Commutation capacitor 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 Lm due to reverse recovery time trr of thyristor T1 of the chopper circuit with di/dt limiting inductors is calculated using Excess energy in chopper circuit = 0.5*Reverse di/dt limiting inductance*((Load current of chopper circuit+(Reverse Recovery Time*Commutation capacitor voltage)/Reverse di/dt limiting inductance)-(Load current of chopper circuit^2)). To calculate Excess work due to thyristor 1 in chopper circuit, you need Reverse di/dt limiting inductance (Lm), Load current of chopper circuit (Im), Reverse Recovery Time (trr) & Commutation capacitor voltage (V0). With our tool, you need to enter the respective value for Reverse di/dt limiting inductance, Load current of chopper circuit, Reverse Recovery Time & Commutation capacitor 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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