Form Factor of Half Wave Thyristor Rectifier with R Load Calculator

✖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%

✖Form Factor is defined as is the ratio of the RMS value to the average value.ⓘ Form Factor of Half Wave Thyristor Rectifier with R Load [FF]

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Form Factor of Half Wave Thyristor Rectifier with R Load

Formula

`"FF" = ((1/pi*((pi-"α"_{"r"})+sin(2*"α"_{"d"})/2))^(1/2))/(1/pi*(1+cos("α"_{"d"})))`

Example

`"1.737868"=((1/pi*((pi-"0.84rad")+sin(2*"45°")/2))^(1/2))/(1/pi*(1+cos("45°")))`

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Form Factor of Half Wave Thyristor Rectifier with R Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
FF = ((1/pi*((pi-α_r)+sin(2*α_d)/2))^(1/2))/(1/pi*(1+cos(α_d)))
This formula uses 1 Constants, 2 Functions, 3 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)
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

Form Factor - Form Factor is defined as is the ratio of the RMS value to the average value.
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

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

FF = ((1/pi*((pi-α_r)+sin(2*α_d)/2))^(1/2))/(1/pi*(1+cos(α_d))) --> ((1/pi*((pi-0.84)+sin(2*0.785398163397301)/2))^(1/2))/(1/pi*(1+cos(0.785398163397301)))

Evaluating ... ...

FF = 1.73786782926578

STEP 3: Convert Result to Output's Unit

1.73786782926578 --> No Conversion Required

FINAL ANSWER

1.73786782926578 ≈ 1.737868 <-- Form Factor

(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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< 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)

Form Factor of Half Wave Thyristor Rectifier with R Load Formula

What are some common applications of half-wave thyristor rectifiers in electronics?

Half-wave thyristor rectifiers are commonly used in applications where unidirectional current flow is required. They find use in battery charging, electroplating, and simple power supplies. Their ability to control output voltage by varying the firing angle makes them valuable in dimmer switches, phase-controlled heaters, and some motor control systems, where variable power output is needed.

How to Calculate Form Factor of Half Wave Thyristor Rectifier with R Load?

Form Factor of Half Wave Thyristor Rectifier with R Load calculator uses 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))) to calculate the Form Factor, The Form Factor of Half Wave Thyristor Rectifier with R Load formula is defined as degree of closeness of rectified voltage to ideal dc voltage waveform in half wave rectifier. Form Factor is denoted by FF symbol.

How to calculate Form Factor of Half Wave Thyristor Rectifier with R Load using this online calculator? To use this online calculator for Form Factor of Half Wave Thyristor Rectifier with R Load, enter Trigger Angle in Radians (α_r) & Trigger Angle in Degree (α_d) and hit the calculate button. Here is how the Form Factor of Half Wave Thyristor Rectifier with R Load calculation can be explained with given input values -> 1.737868 = ((1/pi*((pi-0.84)+sin(2*0.785398163397301)/2))^(1/2))/(1/pi*(1+cos(0.785398163397301))).

FAQ

What is Form Factor of Half Wave Thyristor Rectifier with R Load?

The Form Factor of Half Wave Thyristor Rectifier with R Load formula is defined as degree of closeness of rectified voltage to ideal dc voltage waveform in half wave rectifier and is represented as FF = ((1/pi*((pi-α_r)+sin(2*α_d)/2))^(1/2))/(1/pi*(1+cos(α_d))) or 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))). 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 Form Factor of Half Wave Thyristor Rectifier with R Load?

The Form Factor of Half Wave Thyristor Rectifier with R Load formula is defined as degree of closeness of rectified voltage to ideal dc voltage waveform in half wave rectifier is calculated using 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))). To calculate Form Factor of Half Wave Thyristor Rectifier with R Load, you need Trigger Angle in Radians (α_r) & Trigger Angle in Degree (α_d). With our tool, you need to enter the respective value for 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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