RMS Voltage of Full Wave Thyristor Rectifier with R Load Calculator

✖Trigger Angle in Degree it gives the firing angle of thyristor in degree.ⓘ Trigger Angle in Degree [α_d]			+10% -10%
✖Trigger Angle in Radians is defined as the firing angle of a thyristor in radians.ⓘ Trigger Angle in Radians [α_r]			+10% -10%
✖Maximum Output Voltage is the Maximum voltage that can be produced at the output of the converter of any controlled rectifier.ⓘ Maximum Output Voltage [V_o(max)]			+10% -10%

✖RMS Voltage in Full Wave is defined as the root mean square value of the voltage in a thyristor rectifier.ⓘ RMS Voltage of Full Wave Thyristor Rectifier with R Load [V_rms(full)]

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Formula

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RMS Voltage of Full Wave Thyristor Rectifier with R Load

Formula

`"V"_{"rms(full)"} = sqrt(((0.5*sin(2*"α"_{"d"}))+pi-"α"_{"r"})*(("V"_{"o(max)"}^2)/(2*pi)))`

Example

`"14.02271V"=sqrt(((0.5*sin(2*"45°"))+pi-"0.84rad")*((("21V")^2)/(2*pi)))`

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RMS Voltage of Full Wave Thyristor Rectifier with R Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

RMS Voltage in Full Wave = sqrt(((0.5*sin(2*Trigger Angle in Degree))+pi-Trigger Angle in Radians)*((Maximum Output Voltage^2)/(2*pi)))
V_rms(full) = sqrt(((0.5*sin(2*α_d))+pi-α_r)*((V_o(max)^2)/(2*pi)))
This formula uses 1 Constants, 2 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

RMS Voltage in Full Wave - (Measured in Volt) - RMS Voltage in Full Wave is defined as the root mean square value of the voltage in a thyristor rectifier.
Trigger Angle in Degree - (Measured in Radian) - Trigger Angle in Degree it gives the firing angle of thyristor in degree.
Trigger Angle in Radians - (Measured in Radian) - Trigger Angle in Radians is defined as the firing angle of a thyristor in radians.
Maximum Output Voltage - (Measured in Volt) - Maximum Output Voltage is the Maximum voltage that can be produced at the output of the converter of any controlled rectifier.

STEP 1: Convert Input(s) to Base Unit

Trigger Angle in Degree: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Trigger Angle in Radians: 0.84 Radian --> 0.84 Radian No Conversion Required
Maximum Output Voltage: 21 Volt --> 21 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_rms(full) = sqrt(((0.5*sin(2*α_d))+pi-α_r)*((V_o(max)^2)/(2*pi))) --> sqrt(((0.5*sin(2*0.785398163397301))+pi-0.84)*((21^2)/(2*pi)))

Evaluating ... ...

V_rms(full) = 14.0227068653952

STEP 3: Convert Result to Output's Unit

14.0227068653952 Volt --> No Conversion Required

FINAL ANSWER

14.0227068653952 ≈ 14.02271 Volt <-- RMS Voltage in Full Wave

(Calculation completed in 00.020 seconds)

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< 7 Full Wave Controlled Rectifiers Calculators

RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD

Go RMS Current = Peak Input Voltage/Resistance*sqrt(1/2-Trigger Angle in Radians/(2*pi)+sin(2*Trigger Angle in Degree)/(4*pi))

RMS Voltage of Full Wave Thyristor Rectifier with R Load

Go RMS Voltage in Full Wave = sqrt(((0.5*sin(2*Trigger Angle in Degree))+pi-Trigger Angle in Radians)*((Maximum Output Voltage^2)/(2*pi)))

RMS Output Voltage of Single Phase Full Wave Controlled Rectifier with R Load of FWD

Go RMS Voltage in Full Wave = Peak Input Voltage*sqrt(1/2-Trigger Angle in Radians/(2*pi)+sin(2*Trigger Angle in Degree)/(4*pi))

Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD

Go Average Output Current = Peak Input Voltage/(pi*Resistance)*(1+cos(Trigger Angle in Degree))

Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD

Go Average Output Voltage in Full Wave = (2*Maximum Output Voltage*cos(Trigger Angle in Degree))/pi

Average Voltage of DC in Single Phase Full Wave Controlled Rectifier with R Load of FWD

Go Average DC Voltage in Full Wave = Peak Input Voltage/pi*(1+cos(Trigger Angle in Degree))

RMS Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD

Go RMS Voltage in Full Wave = Maximum Output Voltage/sqrt(2)

RMS Voltage of Full Wave Thyristor Rectifier with R Load Formula

What is the function of thyristor?

Thyristors are mainly used where high currents and voltages are involved, and are often used to control alternating currents, where the change of polarity of the current causes the device to switch off automatically, referred to as "zero cross" operation.

How to Calculate RMS Voltage of Full Wave Thyristor Rectifier with R Load?

RMS Voltage of Full Wave Thyristor Rectifier with R Load calculator uses RMS Voltage in Full Wave = sqrt(((0.5*sin(2*Trigger Angle in Degree))+pi-Trigger Angle in Radians)*((Maximum Output Voltage^2)/(2*pi))) to calculate the RMS Voltage in Full Wave, The RMS voltage of Full Wave Thyristor Rectifier with R load formula is used to calculate the RMS value of output voltage for R load. Here alpha or firing angle of thyristor needs to be entered in radian. RMS Voltage in Full Wave is denoted by V_rms(full) symbol.

How to calculate RMS Voltage of Full Wave Thyristor Rectifier with R Load using this online calculator? To use this online calculator for RMS Voltage of Full Wave Thyristor Rectifier with R Load, enter Trigger Angle in Degree (α_d), Trigger Angle in Radians (α_r) & Maximum Output Voltage (V_o(max)) and hit the calculate button. Here is how the RMS Voltage of Full Wave Thyristor Rectifier with R Load calculation can be explained with given input values -> 14.02271 = sqrt(((0.5*sin(2*0.785398163397301))+pi-0.84)*((21^2)/(2*pi))).

FAQ

What is RMS Voltage of Full Wave Thyristor Rectifier with R Load?

The RMS voltage of Full Wave Thyristor Rectifier with R load formula is used to calculate the RMS value of output voltage for R load. Here alpha or firing angle of thyristor needs to be entered in radian and is represented as V_rms(full) = sqrt(((0.5*sin(2*α_d))+pi-α_r)*((V_o(max)^2)/(2*pi))) or RMS Voltage in Full Wave = sqrt(((0.5*sin(2*Trigger Angle in Degree))+pi-Trigger Angle in Radians)*((Maximum Output Voltage^2)/(2*pi))). Trigger Angle in Degree it gives the firing angle of thyristor in degree, Trigger Angle in Radians is defined as the firing angle of a thyristor in radians & Maximum Output Voltage is the Maximum voltage that can be produced at the output of the converter of any controlled rectifier.

How to calculate RMS Voltage of Full Wave Thyristor Rectifier with R Load?

The RMS voltage of Full Wave Thyristor Rectifier with R load formula is used to calculate the RMS value of output voltage for R load. Here alpha or firing angle of thyristor needs to be entered in radian is calculated using RMS Voltage in Full Wave = sqrt(((0.5*sin(2*Trigger Angle in Degree))+pi-Trigger Angle in Radians)*((Maximum Output Voltage^2)/(2*pi))). To calculate RMS Voltage of Full Wave Thyristor Rectifier with R Load, you need Trigger Angle in Degree (α_d), Trigger Angle in Radians (α_r) & Maximum Output Voltage (V_o(max)). With our tool, you need to enter the respective value for Trigger Angle in Degree, Trigger Angle in Radians & Maximum Output Voltage 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 RMS Voltage in Full Wave?

In this formula, RMS Voltage in Full Wave uses Trigger Angle in Degree, Trigger Angle in Radians & Maximum Output Voltage. We can use 2 other way(s) to calculate the same, which is/are as follows -

RMS Voltage in Full Wave = Maximum Output Voltage/sqrt(2)
RMS Voltage in Full Wave = Peak Input Voltage*sqrt(1/2-Trigger Angle in Radians/(2*pi)+sin(2*Trigger Angle in Degree)/(4*pi))

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