Average Load Voltage of Half Wave Thyristor Rectifier with RLE 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 Degree it gives the firing angle of thyristor in degree.ⓘ Trigger Angle in Degree [α_d]			+10% -10%
✖Extinction Angle in degree gives the value of extinction angle of thyristor in degrees.ⓘ Extinction Angle [β_d]			+10% -10%
✖Back EMF is defined as the emf that opposes the cause of current.ⓘ Back EMF [E_b]			+10% -10%
✖Diode turn on angle radians is the angle beyond which the diode of a rectifier with emf at the load starts conducting.ⓘ Diode Turn On Angle Radians [θ_r]			+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%

✖Average Load Voltage in half wave is defined as the voltage between two terminals of load.ⓘ Average Load Voltage of Half Wave Thyristor Rectifier with RLE Load [V_L(half)]

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Formula

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Average Load Voltage of Half Wave Thyristor Rectifier with RLE Load

Formula

`"V"_{"L(half)"} = ("V"_{"o(max)"}/(2*pi))*(cos("α"_{"d"})+cos("β"_{"d"}))+("E"_{"b"}/2)*(1+(("θ"_{"r"}+"α"_{"r"})/pi))`

Example

`"15.70558V"=("21V"/(2*pi))*(cos("45°")+cos("180°"))+("20V"/2)*(1+(("1.26rad"+"0.84rad")/pi))`

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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))
V_L(half) = (V_o(max)/(2*pi))*(cos(α_d)+cos(β_d))+(E_b/2)*(1+((θ_r+α_r)/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
Diode Turn On Angle Radians: 1.26 Radian --> 1.26 Radian No Conversion Required
Trigger Angle in Radians: 0.84 Radian --> 0.84 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_L(half) = (V_o(max)/(2*pi))*(cos(α_d)+cos(β_d))+(E_b/2)*(1+((θ_r+α_r)/pi)) --> (21/(2*pi))*(cos(0.785398163397301)+cos(3.1415926535892))+(20/2)*(1+((1.26+0.84)/pi))

Evaluating ... ...

V_L(half) = 15.7055841348426

STEP 3: Convert Result to Output's Unit

15.7055841348426 Volt --> No Conversion Required

FINAL ANSWER

15.7055841348426 ≈ 15.70558 Volt <-- Average Load 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)

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

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 V_L(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 (V_o(max)), Trigger Angle in Degree (α_d), Extinction Angle (β_d), Back EMF (E_b), Diode Turn On Angle Radians (θ_r) & Trigger Angle in Radians (α_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 V_L(half) = (V_o(max)/(2*pi))*(cos(α_d)+cos(β_d))+(E_b/2)*(1+((θ_r+α_r)/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 (V_o(max)), Trigger Angle in Degree (α_d), Extinction Angle (β_d), Back EMF (E_b), Diode Turn On Angle Radians (θ_r) & Trigger Angle in Radians (α_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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