Peak Thyristor Gate Voltage for RC Firing Circuit Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Gate Voltage = Gate Threshold Voltage/(sin(Angular Frequency*Time Period of Progressive Wave))
Vg(max) = Vth/(sin(ω*Tw))
This formula uses 1 Functions, 4 Variables
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Maximum Gate Voltage - (Measured in Volt) - Maximum gate voltage is the maximum amplitude of the gate voltage to trigger a Thyristor.
Gate Threshold Voltage - (Measured in Volt) - Gate Threshold Voltage is the minimum voltage required at the gate terminal of an SCR to turn it on.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency refers to the angular displacement per unit of time.
Time Period of Progressive Wave - (Measured in Second) - Time period of progressive wave is the time taken by a wave to complete one oscillation.
STEP 1: Convert Input(s) to Base Unit
Gate Threshold Voltage: 1.7 Volt --> 1.7 Volt No Conversion Required
Angular Frequency: 23 Radian per Second --> 23 Radian per Second No Conversion Required
Time Period of Progressive Wave: 2.6 Second --> 2.6 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vg(max) = Vth/(sin(ω*Tw)) --> 1.7/(sin(23*2.6))
Evaluating ... ...
Vg(max) = -15.522356583271
STEP 3: Convert Result to Output's Unit
-15.522356583271 Volt --> No Conversion Required
FINAL ANSWER
-15.522356583271 -15.522357 Volt <-- Maximum Gate Voltage
(Calculation completed in 00.004 seconds)

Credits

Created by Parminder Singh
Chandigarh University (CU), Punjab
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BMS College Of Engineering (BMSCE), Banglore
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Peak Thyristor Gate Voltage for RC Firing Circuit Formula

Maximum Gate Voltage = Gate Threshold Voltage/(sin(Angular Frequency*Time Period of Progressive Wave))
Vg(max) = Vth/(sin(ω*Tw))

What is an RC firing circuit?

RC triggering circuit consisting of two diodes with an RC network connected to turn the SCR. By varying the variable resistance, triggering or firing angle is controlled in a full positive half cycle of the input signal. During the negative half cycle of the input signal, capacitor charges with lower plate positive through diode D2 up to the maximum supply voltage Vmax. This voltage remains at -Vmax across the capacitor till supply voltage attains zero crossing.
During the positive half cycle of the input, the SCR becomes forward biased and the capacitor starts charging through variable resistance to the triggering voltage value of the SCR.
When the capacitor charging voltage is equal to the gate trigger voltage, SCR is turned ON and the capacitor holds a small voltage. Therefore the capacitor voltage is helpful for triggering the SCR even after 90 degrees of the input waveform.

How to Calculate Peak Thyristor Gate Voltage for RC Firing Circuit?

Peak Thyristor Gate Voltage for RC Firing Circuit calculator uses Maximum Gate Voltage = Gate Threshold Voltage/(sin(Angular Frequency*Time Period of Progressive Wave)) to calculate the Maximum Gate Voltage, The Peak Thyristor gate voltage for RC firing circuit formula is defined as the maximum amplitude of the gate voltage to trigger a Thyristor for an RC firing circuit. Maximum Gate Voltage is denoted by Vg(max) symbol.

How to calculate Peak Thyristor Gate Voltage for RC Firing Circuit using this online calculator? To use this online calculator for Peak Thyristor Gate Voltage for RC Firing Circuit, enter Gate Threshold Voltage (Vth), Angular Frequency (ω) & Time Period of Progressive Wave (Tw) and hit the calculate button. Here is how the Peak Thyristor Gate Voltage for RC Firing Circuit calculation can be explained with given input values -> -15.522357 = 1.7/(sin(23*2.6)).

FAQ

What is Peak Thyristor Gate Voltage for RC Firing Circuit?
The Peak Thyristor gate voltage for RC firing circuit formula is defined as the maximum amplitude of the gate voltage to trigger a Thyristor for an RC firing circuit and is represented as Vg(max) = Vth/(sin(ω*Tw)) or Maximum Gate Voltage = Gate Threshold Voltage/(sin(Angular Frequency*Time Period of Progressive Wave)). Gate Threshold Voltage is the minimum voltage required at the gate terminal of an SCR to turn it on, Angular Frequency refers to the angular displacement per unit of time & Time period of progressive wave is the time taken by a wave to complete one oscillation.
How to calculate Peak Thyristor Gate Voltage for RC Firing Circuit?
The Peak Thyristor gate voltage for RC firing circuit formula is defined as the maximum amplitude of the gate voltage to trigger a Thyristor for an RC firing circuit is calculated using Maximum Gate Voltage = Gate Threshold Voltage/(sin(Angular Frequency*Time Period of Progressive Wave)). To calculate Peak Thyristor Gate Voltage for RC Firing Circuit, you need Gate Threshold Voltage (Vth), Angular Frequency (ω) & Time Period of Progressive Wave (Tw). With our tool, you need to enter the respective value for Gate Threshold Voltage, Angular Frequency & Time Period of Progressive Wave and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Maximum Gate Voltage?
In this formula, Maximum Gate Voltage uses Gate Threshold Voltage, Angular Frequency & Time Period of Progressive Wave. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Maximum Gate Voltage = (Peak Input Voltage*Stablizing Resistance)/(Variable Resistance+Thyristor Resistance+Stablizing Resistance)
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