Average Output Voltage of Half Wave Controlled Rectifier with R Load Calculator

✖Peak Input Voltage is the peak of the alternating voltage provided at the input of any electrical circuit.ⓘ Peak Input Voltage [V_i(max)]			+10% -10%
✖Trigger Angle in Degree it gives the firing angle of thyristor in degree.ⓘ Trigger Angle in Degree [α_d]			+10% -10%

✖Average Output Voltage in Half Wave gives the average value of output voltage.ⓘ Average Output Voltage of Half Wave Controlled Rectifier with R Load [V_avg(half)]

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Formula

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Average Output Voltage of Half Wave Controlled Rectifier with R Load

Formula

`"V"_{"avg(half)"} = "V"_{"i(max)"}/(2*pi)*(1+cos("α"_{"d"}))`

Example

`"5.977279V"="22V"/(2*pi)*(1+cos("45°"))`

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Average Output Voltage of Half Wave Controlled Rectifier with R Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Output Voltage in Half Wave = Peak Input Voltage/(2*pi)*(1+cos(Trigger Angle in Degree))
V_avg(half) = V_i(max)/(2*pi)*(1+cos(α_d))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Average Output Voltage in Half Wave - (Measured in Volt) - Average Output Voltage in Half Wave gives the average value of output voltage.
Peak Input Voltage - (Measured in Volt) - Peak Input Voltage is the peak of the alternating voltage provided at the input of any electrical circuit.
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

Peak Input Voltage: 22 Volt --> 22 Volt 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_avg(half) = V_i(max)/(2*pi)*(1+cos(α_d)) --> 22/(2*pi)*(1+cos(0.785398163397301))

Evaluating ... ...

V_avg(half) = 5.9772786174541

STEP 3: Convert Result to Output's Unit

5.9772786174541 Volt --> No Conversion Required

FINAL ANSWER

5.9772786174541 ≈ 5.977279 Volt <-- Average Output Voltage in Half Wave

(Calculation completed in 00.004 seconds)

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Created by Pratik Kumar Singh

Vellore Institute of Technology (VIT), Vellore

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Chandigarh University (CU), Punjab

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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))

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))

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)))

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)

Average Output Voltage of Half Wave Controlled Rectifier with R Load Formula

Average Output Voltage in Half Wave = Peak Input Voltage/(2*pi)*(1+cos(Trigger Angle in Degree))
V_avg(half) = V_i(max)/(2*pi)*(1+cos(α_d))

What is the purpose of a thyristor (SCR) in a half-wave controlled rectifier circuit?

A thyristor is to control the conduction of AC voltage, allowing only a portion of the input waveform to pass through and be rectified into DC. By adjusting the firing angle (the moment when the SCR is triggered to conduct), the SCR acts as a switch, regulating the output voltage and power delivered to the load. This controlled conduction of the SCR is vital for applications where variable DC voltage or power control is required, such as in lighting dimmers, motor speed control, and heating systems.

How to Calculate Average Output Voltage of Half Wave Controlled Rectifier with R Load?

Average Output Voltage of Half Wave Controlled Rectifier with R Load calculator uses Average Output Voltage in Half Wave = Peak Input Voltage/(2*pi)*(1+cos(Trigger Angle in Degree)) to calculate the Average Output Voltage in Half Wave, The Average Output Voltage of Half Wave Controlled Rectifier with R Load formula is defined as the constant DC voltage level obtained by rectifying and filtering the input AC voltage . Average Output Voltage in Half Wave is denoted by V_avg(half) symbol.

How to calculate Average Output Voltage of Half Wave Controlled Rectifier with R Load using this online calculator? To use this online calculator for Average Output Voltage of Half Wave Controlled Rectifier with R Load, enter Peak Input Voltage (V_i(max)) & Trigger Angle in Degree (α_d) and hit the calculate button. Here is how the Average Output Voltage of Half Wave Controlled Rectifier with R Load calculation can be explained with given input values -> 5.977279 = 22/(2*pi)*(1+cos(0.785398163397301)).

FAQ

What is Average Output Voltage of Half Wave Controlled Rectifier with R Load?

The Average Output Voltage of Half Wave Controlled Rectifier with R Load formula is defined as the constant DC voltage level obtained by rectifying and filtering the input AC voltage and is represented as V_avg(half) = V_i(max)/(2*pi)*(1+cos(α_d)) or Average Output Voltage in Half Wave = Peak Input Voltage/(2*pi)*(1+cos(Trigger Angle in Degree)). Peak Input Voltage is the peak of the alternating voltage provided at the input of any electrical circuit & Trigger Angle in Degree it gives the firing angle of thyristor in degree.

How to calculate Average Output Voltage of Half Wave Controlled Rectifier with R Load?

The Average Output Voltage of Half Wave Controlled Rectifier with R Load formula is defined as the constant DC voltage level obtained by rectifying and filtering the input AC voltage is calculated using Average Output Voltage in Half Wave = Peak Input Voltage/(2*pi)*(1+cos(Trigger Angle in Degree)). To calculate Average Output Voltage of Half Wave Controlled Rectifier with R Load, you need Peak Input Voltage (V_i(max)) & Trigger Angle in Degree (α_d). With our tool, you need to enter the respective value for Peak Input Voltage & 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.

How many ways are there to calculate Average Output Voltage in Half Wave?

In this formula, Average Output Voltage in Half Wave uses Peak Input Voltage & Trigger Angle in Degree. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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