Worst Case Steady State Voltage across First Thyristor in Series Connected Thyristors Solution

STEP 0: Pre-Calculation Summary
Formula Used
Worst Case Steady State Voltage = (Resultant Series Voltage of Thyristor String+Stablizing Resistance*(Number of Thyristors in Series-1)*Off State Current Spread)/Number of Thyristors in Series
Vss = (Vstring+Rstb*(n-1)*ΔID)/n
This formula uses 5 Variables
Variables Used
Worst Case Steady State Voltage - (Measured in Volt) - Worst case steady state voltage of thyristor is the voltage across thyristor 1 of the series string when ID1=0 and ΔID = ID2.
Resultant Series Voltage of Thyristor String - (Measured in Volt) - Resultant series voltage of thyristor string is the resultant voltage of the series combination of ns number of thyristors.
Stablizing Resistance - (Measured in Ohm) - Stablizing Resistance is defined as the opposition faced by the flow of current through a thyristor based circuit which is used to stablize.
Number of Thyristors in Series - Number of thyristors in series thyristor string is the quantity of thyristors in the series combination.
Off State Current Spread - (Measured in Ampere) - Off state current spread of thyristor string is the difference between the two currents across adjacent thyristors in the string.
STEP 1: Convert Input(s) to Base Unit
Resultant Series Voltage of Thyristor String: 20.512 Volt --> 20.512 Volt No Conversion Required
Stablizing Resistance: 32 Ohm --> 32 Ohm No Conversion Required
Number of Thyristors in Series: 3 --> No Conversion Required
Off State Current Spread: 5 Ampere --> 5 Ampere No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vss = (Vstring+Rstb*(n-1)*ΔID)/n --> (20.512+32*(3-1)*5)/3
Evaluating ... ...
Vss = 113.504
STEP 3: Convert Result to Output's Unit
113.504 Volt --> No Conversion Required
FINAL ANSWER
113.504 Volt <-- Worst Case Steady State Voltage
(Calculation completed in 00.004 seconds)

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5 SCR Performance Parameters Calculators

Worst Case Steady State Voltage across First Thyristor in Series Connected Thyristors
Go Worst Case Steady State Voltage = (Resultant Series Voltage of Thyristor String+Stablizing Resistance*(Number of Thyristors in Series-1)*Off State Current Spread)/Number of Thyristors in Series
Derating Factor of Series Connected Thyristor String
Go Derating Factor of Thyristor String = 1-Resultant Series Voltage of Thyristor String/(Worst Case Steady State Voltage*Number of Thyristors in Series)
Leakage Current of Collector-Base Junction
Go Collector Base Leakage Current = Collector Current-Common-Base Current Gain*Collector Current
Power Dissipated by Heat in SCR
Go Power Dissipated by Heat = (Junction Temperature-Ambient Temperature)/Thermal Resistance
Thermal Resistance of SCR
Go Thermal Resistance = (Junction Temperature-Ambient Temperature)/Power Dissipated by Heat

16 SCR Characteristics Calculators

Worst Case Steady State Voltage across First Thyristor in Series Connected Thyristors
Go Worst Case Steady State Voltage = (Resultant Series Voltage of Thyristor String+Stablizing Resistance*(Number of Thyristors in Series-1)*Off State Current Spread)/Number of Thyristors in Series
Thyristor Commutation Voltage for Class B Commutation
Go Thyristor Commutation Voltage = Input Voltage*cos(Angular Frequency*(Thyristor Reverse Bias Time-Auxiliary Thyristor Reverse Bias Time))
Derating Factor of Series Connected Thyristor String
Go Derating Factor of Thyristor String = 1-Resultant Series Voltage of Thyristor String/(Worst Case Steady State Voltage*Number of Thyristors in Series)
Time Period for UJT as Oscillator Thyristor Firing Circuit
Go Time Period of UJT as Oscillator = Stablizing Resistance*Capacitance*ln(1/(1-Intrinsic Stand-off Ratio))
Emitter Current for UJT based Thyristor Firing Circuit
Go Emitter Current = (Emitter Voltage-Diode Voltage)/(Emitter Resistance Base 1+Emitter Resistance)
Circuit Turn off Time Class B Commutation
Go Circuit Turn Off Time Class B Commutation = Thyristor Commutation Capacitance*Thyristor Commutation Voltage/Load Current
Frequency of UJT as Oscillator Thyristor Firing Circuit
Go Frequency = 1/(Stablizing Resistance*Capacitance*ln(1/(1-Intrinsic Stand-off Ratio)))
Thyristor Conduction Time for Class A Commutation
Go Thyristor Conduction Time = pi*sqrt(Inductance*Thyristor Commutation Capacitance)
Peak Current Class B Thyristor Commutation
Go Peak Current = Input Voltage*sqrt(Thyristor Commutation Capacitance/Inductance)
Intrinsic Stand-off Ratio for UJT based Thyristor Firing Circuit
Go Intrinsic Stand-off Ratio = Emitter Resistance Base 1/(Emitter Resistance Base 1+Emitter Resistance Base 2)
Circuit Turn off Time Class C Commutation
Go Circuit Turn Off Time Class C Commutation = Stablizing Resistance*Thyristor Commutation Capacitance*ln(2)
Leakage Current of Collector-Base Junction
Go Collector Base Leakage Current = Collector Current-Common-Base Current Gain*Collector Current
Power Dissipated by Heat in SCR
Go Power Dissipated by Heat = (Junction Temperature-Ambient Temperature)/Thermal Resistance
Thermal Resistance of SCR
Go Thermal Resistance = (Junction Temperature-Ambient Temperature)/Power Dissipated by Heat
Discharging Current of dv-dt Protection Thyristor Circuits
Go Discharging Current = Input Voltage/((Resistance 1+Resistance 2))
Emitter Voltage to Turn On UJT based Thyristor Firing Circuit
Go Emitter Voltage = Emitter Resistance Base 1 Voltage+Diode Voltage

Worst Case Steady State Voltage across First Thyristor in Series Connected Thyristors Formula

Worst Case Steady State Voltage = (Resultant Series Voltage of Thyristor String+Stablizing Resistance*(Number of Thyristors in Series-1)*Off State Current Spread)/Number of Thyristors in Series
Vss = (Vstring+Rstb*(n-1)*ΔID)/n

What is the physical significance of worst steady state voltage?

This states that the voltage across the thyristor 1 of the series combination will be maximum when the ID is maximum. It is used in calculating the derating factor of the series combination of thyristors.

How to Calculate Worst Case Steady State Voltage across First Thyristor in Series Connected Thyristors?

Worst Case Steady State Voltage across First Thyristor in Series Connected Thyristors calculator uses Worst Case Steady State Voltage = (Resultant Series Voltage of Thyristor String+Stablizing Resistance*(Number of Thyristors in Series-1)*Off State Current Spread)/Number of Thyristors in Series to calculate the Worst Case Steady State Voltage, Worst case steady state voltage across first thyristor in series connected thyristors is the voltage across thyristor 1 of the series string when ID1=0 and ΔID = ID2. Worst Case Steady State Voltage is denoted by Vss symbol.

How to calculate Worst Case Steady State Voltage across First Thyristor in Series Connected Thyristors using this online calculator? To use this online calculator for Worst Case Steady State Voltage across First Thyristor in Series Connected Thyristors, enter Resultant Series Voltage of Thyristor String (Vstring), Stablizing Resistance (Rstb), Number of Thyristors in Series (n) & Off State Current Spread (ΔID) and hit the calculate button. Here is how the Worst Case Steady State Voltage across First Thyristor in Series Connected Thyristors calculation can be explained with given input values -> 113.3333 = (20.512+32*(3-1)*5)/3.

FAQ

What is Worst Case Steady State Voltage across First Thyristor in Series Connected Thyristors?
Worst case steady state voltage across first thyristor in series connected thyristors is the voltage across thyristor 1 of the series string when ID1=0 and ΔID = ID2 and is represented as Vss = (Vstring+Rstb*(n-1)*ΔID)/n or Worst Case Steady State Voltage = (Resultant Series Voltage of Thyristor String+Stablizing Resistance*(Number of Thyristors in Series-1)*Off State Current Spread)/Number of Thyristors in Series. Resultant series voltage of thyristor string is the resultant voltage of the series combination of ns number of thyristors, Stablizing Resistance is defined as the opposition faced by the flow of current through a thyristor based circuit which is used to stablize, Number of thyristors in series thyristor string is the quantity of thyristors in the series combination & Off state current spread of thyristor string is the difference between the two currents across adjacent thyristors in the string.
How to calculate Worst Case Steady State Voltage across First Thyristor in Series Connected Thyristors?
Worst case steady state voltage across first thyristor in series connected thyristors is the voltage across thyristor 1 of the series string when ID1=0 and ΔID = ID2 is calculated using Worst Case Steady State Voltage = (Resultant Series Voltage of Thyristor String+Stablizing Resistance*(Number of Thyristors in Series-1)*Off State Current Spread)/Number of Thyristors in Series. To calculate Worst Case Steady State Voltage across First Thyristor in Series Connected Thyristors, you need Resultant Series Voltage of Thyristor String (Vstring), Stablizing Resistance (Rstb), Number of Thyristors in Series (n) & Off State Current Spread (ΔID). With our tool, you need to enter the respective value for Resultant Series Voltage of Thyristor String, Stablizing Resistance, Number of Thyristors in Series & Off State Current Spread 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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