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

✖Resultant series voltage of thyristor string is the resultant voltage of the series combination of n_s number of thyristors.ⓘ Resultant Series Voltage of Thyristor String [V_string]			+10% -10%
✖Stablizing Resistance is defined as the opposition faced by the flow of current through a thyristor based circuit which is used to stablize.ⓘ Stablizing Resistance [R_stb]			+10% -10%
✖Number of thyristors in series thyristor string is the quantity of thyristors in the series combination.ⓘ Number of Thyristors in Series [n]			+10% -10%
✖Off state current spread of thyristor string is the difference between the two currents across adjacent thyristors in the string.ⓘ Off State Current Spread [ΔI_D]			+10% -10%

✖Worst case steady state voltage of thyristor is the voltage across thyristor 1 of the series string when I_D1=0 and ΔID = I_D2.ⓘ Worst Case Steady State Voltage across First Thyristor in Series Connected Thyristors [V_ss]

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Formula

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

Formula

V ss = \frac{V string + R stb \cdot (n - 1) \cdot ΔI D}{n}

Example

113.504 V = \frac{20.512 V + 32 Ω \cdot (3 - 1) \cdot 5 A}{3}

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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
V_ss = (V_string+R_stb*(n-1)*ΔI_D)/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 I_D1=0 and ΔID = I_D2.
Resultant Series Voltage of Thyristor String - (Measured in Volt) - Resultant series voltage of thyristor string is the resultant voltage of the series combination of n_s 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

V_ss = (V_string+R_stb*(n-1)*ΔI_D)/n --> (20.512+32*(3-1)*5)/3

Evaluating ... ...

V_ss = 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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< 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

Thermal Resistance of SCR

Go Thermal Resistance = (Junction Temperature-Ambient Temperature)/Power Dissipated by Heat

< SCR Characteristics Calculators

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

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

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 I_D 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 I_D1=0 and ΔI_D = I_D2. Worst Case Steady State Voltage is denoted by V_ss 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 (V_string), Stablizing Resistance (R_stb), Number of Thyristors in Series (n) & Off State Current Spread (ΔI_D) 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 I_D1=0 and ΔI_D = I_D2 and is represented as V_ss = (V_string+R_stb*(n-1)*ΔI_D)/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 n_s 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 I_D1=0 and ΔI_D = I_D2 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 (V_string), Stablizing Resistance (R_stb), Number of Thyristors in Series (n) & Off State Current Spread (ΔI_D). 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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