Average Voltage of Half Wave Thyristor Rectifier with RL 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%

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

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Average Voltage of Half Wave Thyristor Rectifier with RL Load

Formula

`"V"_{"avg(half)"} = ("V"_{"o(max)"}/(2*pi))*(cos("α"_{"d"})-cos("β"_{"d"}))`

Example

`"5.705584V"=("21V"/(2*pi))*(cos("45°")-cos("180°"))`

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Average Voltage of Half Wave Thyristor Rectifier with RL Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Output Voltage in Half Wave = (Maximum Output Voltage/(2*pi))*(cos(Trigger Angle in Degree)-cos(Extinction Angle))
V_avg(half) = (V_o(max)/(2*pi))*(cos(α_d)-cos(β_d))
This formula uses 1 Constants, 1 Functions, 4 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.
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.

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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_avg(half) = (V_o(max)/(2*pi))*(cos(α_d)-cos(β_d)) --> (21/(2*pi))*(cos(0.785398163397301)-cos(3.1415926535892))

Evaluating ... ...

V_avg(half) = 5.70558413484255

STEP 3: Convert Result to Output's Unit

5.70558413484255 Volt --> No Conversion Required

FINAL ANSWER

5.70558413484255 ≈ 5.705584 Volt <-- Average Output 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))

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 Voltage of Half Wave Thyristor Rectifier with RL Load Formula

Average Output Voltage in Half Wave = (Maximum Output Voltage/(2*pi))*(cos(Trigger Angle in Degree)-cos(Extinction Angle))
V_avg(half) = (V_o(max)/(2*pi))*(cos(α_d)-cos(β_d))

Why does the conduction continues till β?

At ωt = π, the load voltage Vo reduces to zero. However, the load current will not be zero at this instant because of inductance L. Due to this, thyristor will not turn off, even though it is reversed biased. Rather it will continue to conduct till ωt = β. At ωt = β, the load current becomes zero and thyristor is reversed biased, hence it will turn off. This is a case of natural commutation.

What is conduction angle for Half wave controlled rectfier with RL load

The angle (β-α) for which thyristor is ON is called conduction angle. It is the angle at which the SCR/Thyristor in On State and experience the current flow.

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

Average Voltage of Half Wave Thyristor Rectifier with RL Load calculator uses Average Output Voltage in Half Wave = (Maximum Output Voltage/(2*pi))*(cos(Trigger Angle in Degree)-cos(Extinction Angle)) to calculate the Average Output Voltage in Half Wave, The Average voltage of Half Wave Thyristor Rectifier with RL load formula gives the average output voltage for RL load. Average Output Voltage in Half Wave is denoted by V_avg(half) symbol.

How to calculate Average Voltage of Half Wave Thyristor Rectifier with RL Load using this online calculator? To use this online calculator for Average Voltage of Half Wave Thyristor Rectifier with RL Load, enter Maximum Output Voltage (V_o(max)), Trigger Angle in Degree (α_d) & Extinction Angle (β_d) and hit the calculate button. Here is how the Average Voltage of Half Wave Thyristor Rectifier with RL Load calculation can be explained with given input values -> 5.705584 = (21/(2*pi))*(cos(0.785398163397301)-cos(3.1415926535892)).

FAQ

What is Average Voltage of Half Wave Thyristor Rectifier with RL Load?

The Average voltage of Half Wave Thyristor Rectifier with RL load formula gives the average output voltage for RL load and is represented as V_avg(half) = (V_o(max)/(2*pi))*(cos(α_d)-cos(β_d)) or Average Output Voltage in Half Wave = (Maximum Output Voltage/(2*pi))*(cos(Trigger Angle in Degree)-cos(Extinction Angle)). 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.

How to calculate Average Voltage of Half Wave Thyristor Rectifier with RL Load?

The Average voltage of Half Wave Thyristor Rectifier with RL load formula gives the average output voltage for RL load is calculated using Average Output Voltage in Half Wave = (Maximum Output Voltage/(2*pi))*(cos(Trigger Angle in Degree)-cos(Extinction Angle)). To calculate Average Voltage of Half Wave Thyristor Rectifier with RL Load, you need Maximum Output Voltage (V_o(max)), Trigger Angle in Degree (α_d) & Extinction Angle (β_d). With our tool, you need to enter the respective value for Maximum Output Voltage, Trigger Angle in Degree & Extinction Angle 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 Maximum Output Voltage, Trigger Angle in Degree & Extinction Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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