RMS Voltage of Full Wave Thyristor Rectifier with R Load Calculator

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✖Alpha is defined as the firing angle of a thyristor in radians.ⓘ Alpha [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_{max, o/p}]			+10% -10%

✖RMS Voltage 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]

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Formula

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RMS Voltage of Full Wave Thyristor Rectifier with R Load

Formula

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

Example

`"14.6233V"=sqrt(((0.5*sin(2*"0.86rad"))+pi-"0.86rad")*((("22V")^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 = sqrt(((0.5*sin(2*Alpha))+pi-Alpha)*((Maximum Output Voltage^2)/(2*pi)))
V_rms = sqrt(((0.5*sin(2*α_r))+pi-α_r)*((V_{max, o/p}^2)/(2*pi)))
This formula uses 1 Constants, 2 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Trigonometric sine function, sin(Angle)
sqrt - Squre root function, sqrt(Number)

Variables Used

RMS Voltage - (Measured in Volt) - RMS Voltage is defined as the root mean square value of the voltage in a thyristor rectifier.
Alpha - (Measured in Radian) - Alpha 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

Alpha: 0.86 Radian --> 0.86 Radian No Conversion Required
Maximum Output Voltage: 22 Volt --> 22 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_rms = sqrt(((0.5*sin(2*α_r))+pi-α_r)*((V_{max, o/p}^2)/(2*pi))) --> sqrt(((0.5*sin(2*0.86))+pi-0.86)*((22^2)/(2*pi)))

Evaluating ... ...

V_rms = 14.6233008086453

STEP 3: Convert Result to Output's Unit

14.6233008086453 Volt --> No Conversion Required

FINAL ANSWER

14.6233008086453 Volt <-- RMS Voltage

(Calculation completed in 00.016 seconds)

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RMS Voltage of Full Wave Thyristor Rectifier with R Load

Go RMS Voltage = sqrt(((0.5*sin(2*Alpha))+pi-Alpha)*((Maximum Output Voltage^2)/(2*pi)))

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

Go Avg Output voltage = (2*Maximum Output Voltage*cos(Alpha Thyristor Angle))/pi

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

Go RMS Voltage = Maximum Output Voltage/sqrt(2)

RMS Voltage of Full Wave Thyristor Rectifier with R Load Formula

RMS Voltage = sqrt(((0.5*sin(2*Alpha))+pi-Alpha)*((Maximum Output Voltage^2)/(2*pi)))
V_rms = sqrt(((0.5*sin(2*α_r))+pi-α_r)*((V_{max, o/p}^2)/(2*pi)))

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 = sqrt(((0.5*sin(2*Alpha))+pi-Alpha)*((Maximum Output Voltage^2)/(2*pi))) to calculate the RMS Voltage, 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 is denoted by V_rms 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 Alpha (α_r) & Maximum Output Voltage (V_{max, o/p}) 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 -> 14.6233 = sqrt(((0.5*sin(2*0.86))+pi-0.86)*((22^2)/(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 = sqrt(((0.5*sin(2*α_r))+pi-α_r)*((V_{max, o/p}^2)/(2*pi))) or RMS Voltage = sqrt(((0.5*sin(2*Alpha))+pi-Alpha)*((Maximum Output Voltage^2)/(2*pi))). Alpha 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 = sqrt(((0.5*sin(2*Alpha))+pi-Alpha)*((Maximum Output Voltage^2)/(2*pi))). To calculate RMS Voltage of Full Wave Thyristor Rectifier with R Load, you need Alpha (α_r) & Maximum Output Voltage (V_{max, o/p}). With our tool, you need to enter the respective value for Alpha & 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 this formula, RMS Voltage uses Alpha & Maximum Output Voltage. We can use 1 other way(s) to calculate the same, which is/are as follows -

RMS Voltage = Maximum Output Voltage/sqrt(2)

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