RMS Output Voltage of Half Wave Thyristor Rectifier with R Load Calculator

✖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%
✖Trigger Angle in Radians is defined as the firing angle of a thyristor in radians.ⓘ Trigger Angle in Radians [α_r]			+10% -10%
✖Trigger Angle in Degree it gives the firing angle of thyristor in degree.ⓘ Trigger Angle in Degree [α_d]			+10% -10%

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

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Formula

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RMS Output Voltage of Half Wave Thyristor Rectifier with R Load

Formula

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

Example

`"9.915551V"=("21V"*sqrt(pi-"0.84rad"+(0.5*sin(2*"45°"))))/(2*sqrt(pi))`

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RMS Output Voltage of Half Wave Thyristor Rectifier with R Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

RMS Voltage in Half Wave = (Maximum Output Voltage*sqrt(pi-Trigger Angle in Radians+(0.5*sin(2*Trigger Angle in Degree))))/(2*sqrt(pi))
V_rms(half) = (V_o(max)*sqrt(pi-α_r+(0.5*sin(2*α_d))))/(2*sqrt(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 Half Wave - (Measured in Volt) - RMS Voltage in Half Wave is defined as the root mean square value of the voltage in a thyristor rectifier.
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.
Trigger Angle in Radians - (Measured in Radian) - Trigger Angle in Radians is defined as the firing angle of a thyristor in radians.
Trigger Angle in Degree - (Measured in Radian) - Trigger Angle in Degree it gives the firing angle of thyristor in degree.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

V_rms(half) = 9.91555111511209

STEP 3: Convert Result to Output's Unit

9.91555111511209 Volt --> No Conversion Required

FINAL ANSWER

9.91555111511209 ≈ 9.915551 Volt <-- RMS Voltage in Half Wave

(Calculation completed in 00.004 seconds)

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< 7 Half Wave Controlled Rectifiers Calculators

Average Load Voltage of Half Wave Thyristor Rectifier with RLE Load

Go Average Load Voltage in Half Wave = (Maximum Output Voltage/(2*pi))*(cos(Trigger Angle in Degree)+cos(Extinction Angle))+(Back EMF/2)*(1+((Diode Turn On Angle Radians+Trigger Angle in Radians)/pi))

Form Factor of Half Wave Thyristor Rectifier with R Load

Go Form Factor = ((1/pi*((pi-Trigger Angle in Radians)+sin(2* Trigger Angle in Degree)/2))^(1/2))/(1/pi*(1+cos(Trigger Angle in Degree)))

RMS Output Voltage of Half Wave Thyristor Rectifier with R Load

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

Average Voltage of Half Wave Thyristor Rectifier with RL Load

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

Average Output Voltage of Half Wave Controlled Rectifier with R Load

Go Average Output Voltage in Half Wave = Peak Input Voltage/(2*pi)*(1+cos(Trigger Angle in Degree))

Turn On Angle of Half Wave Rectifier

Go Diode Turn On Angle Radians = asin(Load EMF/Peak Input Voltage)

Voltage Ripple Factor of Half Wave Thyristor Rectifier with R Load

Go Ripple Factor = sqrt(Form Factor^2-1)

RMS Output Voltage of Half Wave Thyristor Rectifier with R Load Formula

What is Half wave rectifier?

A half wave rectifier is defined as a type of rectifier that only allows one half-cycle of an AC voltage waveform to pass, blocking the other half-cycle. Half-wave rectifiers are used to convert AC voltage to DC voltage, and only require a single diode to construct.

What is RMS value?

The RMS value is the square root of the mean (average) value of the squared function of the instantaneous values. The symbols used for defining an RMS value are VRMS or IRMS.

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

RMS Output Voltage of Half Wave Thyristor Rectifier with R Load calculator uses RMS Voltage in Half Wave = (Maximum Output Voltage*sqrt(pi-Trigger Angle in Radians+(0.5*sin(2*Trigger Angle in Degree))))/(2*sqrt(pi)) to calculate the RMS Voltage in Half Wave, RMS output voltage of Half Wave Thyristor Rectifier with R load formula gives the value of RMS value of output voltage of single phase fully controlled Half wave rectifier with R load. RMS Voltage in Half Wave is denoted by V_rms(half) symbol.

How to calculate RMS Output Voltage of Half Wave Thyristor Rectifier with R Load using this online calculator? To use this online calculator for RMS Output Voltage of Half Wave Thyristor Rectifier with R Load, enter Maximum Output Voltage (V_o(max)), Trigger Angle in Radians (α_r) & Trigger Angle in Degree (α_d) and hit the calculate button. Here is how the RMS Output Voltage of Half Wave Thyristor Rectifier with R Load calculation can be explained with given input values -> 9.915551 = (21*sqrt(pi-0.84+(0.5*sin(2*0.785398163397301))))/(2*sqrt(pi)).

FAQ

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

RMS output voltage of Half Wave Thyristor Rectifier with R load formula gives the value of RMS value of output voltage of single phase fully controlled Half wave rectifier with R load and is represented as V_rms(half) = (V_o(max)*sqrt(pi-α_r+(0.5*sin(2*α_d))))/(2*sqrt(pi)) or RMS Voltage in Half Wave = (Maximum Output Voltage*sqrt(pi-Trigger Angle in Radians+(0.5*sin(2*Trigger Angle in Degree))))/(2*sqrt(pi)). Maximum Output Voltage is the Maximum voltage that can be produced at the output of the converter of any controlled rectifier, Trigger Angle in Radians is defined as the firing angle of a thyristor in radians & Trigger Angle in Degree it gives the firing angle of thyristor in degree.

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

RMS output voltage of Half Wave Thyristor Rectifier with R load formula gives the value of RMS value of output voltage of single phase fully controlled Half wave rectifier with R load is calculated using RMS Voltage in Half Wave = (Maximum Output Voltage*sqrt(pi-Trigger Angle in Radians+(0.5*sin(2*Trigger Angle in Degree))))/(2*sqrt(pi)). To calculate RMS Output Voltage of Half Wave Thyristor Rectifier with R Load, you need Maximum Output Voltage (V_o(max)), Trigger Angle in Radians (α_r) & Trigger Angle in Degree (α_d). With our tool, you need to enter the respective value for Maximum Output Voltage, Trigger Angle in Radians & Trigger Angle in Degree 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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