Derating Factor of Series Connected Thyristor String 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%
✖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 [V_ss]			+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%

✖Derating factor of thyristor string is 1 minus the string efficiency of the series combination.ⓘ Derating Factor of Series Connected Thyristor String [DRF]

⎘ Copy

👎

Formula

✖

Derating Factor of Series Connected Thyristor String

Formula

`"DRF" = 1-"V"_{"string"}/("V"_{"ss"}*"n")`

Example

`"0.939653"=1-"20.512V"/("113.3V"*"3")`

Calculator

LaTeX

Reset

👍

Download Silicon Controlled Rectifier Formula PDF

Derating Factor of Series Connected Thyristor String Solution

STEP 0: Pre-Calculation Summary

Formula Used

Derating Factor of Thyristor String = 1-Resultant Series Voltage of Thyristor String/(Worst Case Steady State Voltage*Number of Thyristors in Series)
DRF = 1-V_string/(V_ss*n)
This formula uses 4 Variables

Variables Used

Derating Factor of Thyristor String - Derating factor of thyristor string is 1 minus the string efficiency of the series combination.
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.
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.
Number of Thyristors in Series - Number of thyristors in series thyristor string is the quantity of thyristors in the series combination.

STEP 1: Convert Input(s) to Base Unit

Resultant Series Voltage of Thyristor String: 20.512 Volt --> 20.512 Volt No Conversion Required
Worst Case Steady State Voltage: 113.3 Volt --> 113.3 Volt No Conversion Required
Number of Thyristors in Series: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

DRF = 1-V_string/(V_ss*n) --> 1-20.512/(113.3*3)

Evaluating ... ...

DRF = 0.939652839070315

STEP 3: Convert Result to Output's Unit

0.939652839070315 --> No Conversion Required

FINAL ANSWER

0.939652839070315 ≈ 0.939653 <-- Derating Factor of Thyristor String

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power Electronics » Silicon Controlled Rectifier » SCR Performance Parameters » Derating Factor of Series Connected Thyristor String

Credits

Created by Devyaani Garg

Shiv Nadar University (SNU), Greater Noida

Devyaani Garg has created this Calculator and 50+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 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

Derating Factor of Series Connected Thyristor String Formula

Derating Factor of Thyristor String = 1-Resultant Series Voltage of Thyristor String/(Worst Case Steady State Voltage*Number of Thyristors in Series)
DRF = 1-V_string/(V_ss*n)

What does the derating factor imply?

Derating factor is normally used to increase the reliability of the string because if we subtract string efficiency from 1, we get the reliability of the string.

How to Calculate Derating Factor of Series Connected Thyristor String?

Derating Factor of Series Connected Thyristor String calculator uses Derating Factor of Thyristor String = 1-Resultant Series Voltage of Thyristor String/(Worst Case Steady State Voltage*Number of Thyristors in Series) to calculate the Derating Factor of Thyristor String, The Derating factor of series connected thyristor string formula is 1 minus the string efficiency of the series combination. Derating Factor of Thyristor String is denoted by DRF symbol.

How to calculate Derating Factor of Series Connected Thyristor String using this online calculator? To use this online calculator for Derating Factor of Series Connected Thyristor String, enter Resultant Series Voltage of Thyristor String (V_string), Worst Case Steady State Voltage (V_ss) & Number of Thyristors in Series (n) and hit the calculate button. Here is how the Derating Factor of Series Connected Thyristor String calculation can be explained with given input values -> 0.941159 = 1-20.512/(113.3*3).

FAQ

What is Derating Factor of Series Connected Thyristor String?

The Derating factor of series connected thyristor string formula is 1 minus the string efficiency of the series combination and is represented as DRF = 1-V_string/(V_ss*n) or Derating Factor of Thyristor String = 1-Resultant Series Voltage of Thyristor String/(Worst Case Steady State Voltage*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, 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 & Number of thyristors in series thyristor string is the quantity of thyristors in the series combination.

How to calculate Derating Factor of Series Connected Thyristor String?

The Derating factor of series connected thyristor string formula is 1 minus the string efficiency of the series combination is calculated using Derating Factor of Thyristor String = 1-Resultant Series Voltage of Thyristor String/(Worst Case Steady State Voltage*Number of Thyristors in Series). To calculate Derating Factor of Series Connected Thyristor String, you need Resultant Series Voltage of Thyristor String (V_string), Worst Case Steady State Voltage (V_ss) & Number of Thyristors in Series (n). With our tool, you need to enter the respective value for Resultant Series Voltage of Thyristor String, Worst Case Steady State Voltage & Number of Thyristors in Series and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search