## Average Load Voltage of Half Wave Thyristor Rectifier with RLE Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
VL(half) = (Vo(max)/(2*pi))*(cos(αd)+cos(βd))+(Eb/2)*(1+((θr+αr)/pi))
This formula uses 1 Constants, 1 Functions, 7 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 Load Voltage in Half Wave - (Measured in Volt) - Average Load Voltage in half wave is defined as the voltage between two terminals of load.
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 Degree - (Measured in Radian) - Trigger Angle in Degree it gives the firing angle of thyristor in degree.
Extinction Angle - (Measured in Radian) - Extinction Angle in degree gives the value of extinction angle of thyristor in degrees.
Back EMF - (Measured in Volt) - Back EMF is defined as the emf that opposes the cause of current.
Diode Turn On Angle Radians - (Measured in Radian) - Diode turn on angle radians is the angle beyond which the diode of a rectifier with emf at the load starts conducting.
Trigger Angle in Radians - (Measured in Radian) - Trigger Angle in Radians is defined as the firing angle of a thyristor in radians.
STEP 1: Convert Input(s) to Base Unit
Maximum Output Voltage: 21 Volt --> 21 Volt No Conversion Required
Trigger Angle in Degree: 45 Degree --> 0.785398163397301 Radian (Check conversion ​here)
Extinction Angle: 180 Degree --> 3.1415926535892 Radian (Check conversion ​here)
Back EMF: 20 Volt --> 20 Volt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
VL(half) = (Vo(max)/(2*pi))*(cos(αd)+cos(βd))+(Eb/2)*(1+((θrr)/pi)) --> (21/(2*pi))*(cos(0.785398163397301)+cos(3.1415926535892))+(20/2)*(1+((1.26+0.84)/pi))
Evaluating ... ...
VL(half) = 15.7055841348426
STEP 3: Convert Result to Output's Unit
15.7055841348426 Volt --> No Conversion Required
15.7055841348426 15.70558 Volt <-- Average Load Voltage in Half Wave
(Calculation completed in 00.004 seconds)
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## Credits

Created by swetha samavedam
Delhi Technological University (DTU), delhi
swetha samavedam has created this Calculator and 10+ more calculators!
Indian Institute of Information Technology Design and Manufacturing ((IIIT D&M Kancheepuram)), Chennai
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## <Half Wave Controlled Rectifiers Calculators

​ 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))
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))
Voltage Ripple Factor of Half Wave Thyristor Rectifier with R Load
​ Go Ripple Factor = sqrt(Form Factor^2-1)

## Average Load Voltage of Half Wave Thyristor Rectifier with RLE Load Formula

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))
VL(half) = (Vo(max)/(2*pi))*(cos(αd)+cos(βd))+(Eb/2)*(1+((θr+αr)/pi))

## How many thyristors are there in half wave rectifier?

In the half-controlled rectifier configuration, the average DC load voltage is controlled using two thyristors and two diodes.

## How to Calculate Average Load Voltage of Half Wave Thyristor Rectifier with RLE Load?

Average Load Voltage of Half Wave Thyristor Rectifier with RLE Load calculator uses 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)) to calculate the Average Load Voltage in Half Wave, The Average load voltage of Half Wave Thyristor Rectifier with RLE load formula gives the average output voltage. Here back emf refers to E. Generally, RLE load models motor load. Average Load Voltage in Half Wave is denoted by VL(half) symbol.

How to calculate Average Load Voltage of Half Wave Thyristor Rectifier with RLE Load using this online calculator? To use this online calculator for Average Load Voltage of Half Wave Thyristor Rectifier with RLE Load, enter Maximum Output Voltage (Vo(max)), Trigger Angle in Degree d), Extinction Angle d), Back EMF (Eb), Diode Turn On Angle Radians r) & Trigger Angle in Radians r) and hit the calculate button. Here is how the Average Load Voltage of Half Wave Thyristor Rectifier with RLE Load calculation can be explained with given input values -> 15.70558 = (21/(2*pi))*(cos(0.785398163397301)+cos(3.1415926535892))+(20/2)*(1+((1.26+0.84)/pi)).

### FAQ

What is Average Load Voltage of Half Wave Thyristor Rectifier with RLE Load?
The Average load voltage of Half Wave Thyristor Rectifier with RLE load formula gives the average output voltage. Here back emf refers to E. Generally, RLE load models motor load and is represented as VL(half) = (Vo(max)/(2*pi))*(cos(αd)+cos(βd))+(Eb/2)*(1+((θrr)/pi)) or 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)). Maximum Output Voltage is the Maximum voltage that can be produced at the output of the converter of any controlled rectifier, Trigger Angle in Degree it gives the firing angle of thyristor in degree, Extinction Angle in degree gives the value of extinction angle of thyristor in degrees, Back EMF is defined as the emf that opposes the cause of current, Diode turn on angle radians is the angle beyond which the diode of a rectifier with emf at the load starts conducting & Trigger Angle in Radians is defined as the firing angle of a thyristor in radians.
How to calculate Average Load Voltage of Half Wave Thyristor Rectifier with RLE Load?
The Average load voltage of Half Wave Thyristor Rectifier with RLE load formula gives the average output voltage. Here back emf refers to E. Generally, RLE load models motor load is calculated using 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)). To calculate Average Load Voltage of Half Wave Thyristor Rectifier with RLE Load, you need Maximum Output Voltage (Vo(max)), Trigger Angle in Degree d), Extinction Angle d), Back EMF (Eb), Diode Turn On Angle Radians r) & Trigger Angle in Radians r). With our tool, you need to enter the respective value for Maximum Output Voltage, Trigger Angle in Degree, Extinction Angle, Back EMF, Diode Turn On Angle Radians & Trigger Angle in Radians 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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