## RMS Output Voltage of Single Phase Full Wave Controlled Rectifier with R Load of FWD Solution

STEP 0: Pre-Calculation Summary
Formula Used
RMS Voltage in Full Wave = Peak Input Voltage*sqrt(1/2-Trigger Angle in Radians/(2*pi)+sin(2*Trigger Angle in Degree)/(4*pi))
Vrms(full) = Vi(max)*sqrt(1/2-αr/(2*pi)+sin(2*αd)/(4*pi))
This formula uses 1 Constants, 2 Functions, 4 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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
RMS Voltage in Full Wave - (Measured in Volt) - RMS Voltage in Full Wave is defined as the root mean square value of the voltage in a thyristor rectifier.
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 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
Peak Input Voltage: 22 Volt --> 22 Volt No Conversion Required
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
Vrms(full) = Vi(max)*sqrt(1/2-αr/(2*pi)+sin(2*αd)/(4*pi)) --> 22*sqrt(1/2-0.84/(2*pi)+sin(2*0.785398163397301)/(4*pi))
Evaluating ... ...
Vrms(full) = 14.6904548113664
STEP 3: Convert Result to Output's Unit
14.6904548113664 Volt --> No Conversion Required
14.6904548113664 14.69045 Volt <-- RMS Voltage in Full Wave
(Calculation completed in 00.020 seconds)
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## Credits

Created by Pratik Kumar Singh
Vellore Institute of Technology (VIT), Vellore
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Chandigarh University (CU), Punjab
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## <Full Wave Controlled Rectifiers Calculators

RMS Voltage of Full Wave Thyristor Rectifier with R Load
​ Go RMS Voltage in Full Wave = sqrt(((0.5*sin(2*Trigger Angle in Degree))+pi-Trigger Angle in Radians)*((Maximum Output Voltage^2)/(2*pi)))
Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD
​ Go Average Output Current = Peak Input Voltage/(pi*Resistance)*(1+cos(Trigger Angle in Degree))
Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD
​ Go Average Output Voltage in Full Wave = (2*Maximum Output Voltage*cos(Trigger Angle in Degree))/pi
RMS Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD
​ Go RMS Voltage in Full Wave = Maximum Output Voltage/sqrt(2)

## RMS Output Voltage of Single Phase Full Wave Controlled Rectifier with R Load of FWD Formula

RMS Voltage in Full Wave = Peak Input Voltage*sqrt(1/2-Trigger Angle in Radians/(2*pi)+sin(2*Trigger Angle in Degree)/(4*pi))
Vrms(full) = Vi(max)*sqrt(1/2-αr/(2*pi)+sin(2*αd)/(4*pi))

## What are the applications of Full Wave Controlled Rectifier with a freewheeling diode?

It is commonly used in motor control systems, allowing for efficient speed and torque control of AC motors. In power supplies, it helps in converting AC to regulated DC voltage for electronics. Battery charging systems employ it for controlled charging of batteries. Welding machines use FWD rectifiers to provide stable DC welding currents. It also plays a role in uninterruptible power supplies (UPS) and renewable energy systems, such as wind turbines and solar inverters, to manage and convert variable AC sources into stable DC power for grid connection or energy storage.

## How to Calculate RMS Output Voltage of Single Phase Full Wave Controlled Rectifier with R Load of FWD?

RMS Output Voltage of Single Phase Full Wave Controlled Rectifier with R Load of FWD calculator uses RMS Voltage in Full Wave = Peak Input Voltage*sqrt(1/2-Trigger Angle in Radians/(2*pi)+sin(2*Trigger Angle in Degree)/(4*pi)) to calculate the RMS Voltage in Full Wave, The RMS Output Voltage of Single Phase Full Wave Controlled Rectifier with R Load of FWD formula is defined as a measure of the effective, continuous voltage delivered to the load. The Freewheeling diode is used in parallel with the load to provide a continuous path for current during non-conduction periods, reducing ripple and improving performance. RMS Voltage in Full Wave is denoted by Vrms(full) symbol.

How to calculate RMS Output Voltage of Single Phase Full Wave Controlled Rectifier with R Load of FWD using this online calculator? To use this online calculator for RMS Output Voltage of Single Phase Full Wave Controlled Rectifier with R Load of FWD, enter Peak Input Voltage (Vi(max)), Trigger Angle in Radians r) & Trigger Angle in Degree d) and hit the calculate button. Here is how the RMS Output Voltage of Single Phase Full Wave Controlled Rectifier with R Load of FWD calculation can be explained with given input values -> 14.69045 = 22*sqrt(1/2-0.84/(2*pi)+sin(2*0.785398163397301)/(4*pi)).

### FAQ

What is RMS Output Voltage of Single Phase Full Wave Controlled Rectifier with R Load of FWD?
The RMS Output Voltage of Single Phase Full Wave Controlled Rectifier with R Load of FWD formula is defined as a measure of the effective, continuous voltage delivered to the load. The Freewheeling diode is used in parallel with the load to provide a continuous path for current during non-conduction periods, reducing ripple and improving performance and is represented as Vrms(full) = Vi(max)*sqrt(1/2-αr/(2*pi)+sin(2*αd)/(4*pi)) or RMS Voltage in Full Wave = Peak Input Voltage*sqrt(1/2-Trigger Angle in Radians/(2*pi)+sin(2*Trigger Angle in Degree)/(4*pi)). Peak Input Voltage is the peak of the alternating voltage provided at the input of any electrical circuit, 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 RMS Output Voltage of Single Phase Full Wave Controlled Rectifier with R Load of FWD?
The RMS Output Voltage of Single Phase Full Wave Controlled Rectifier with R Load of FWD formula is defined as a measure of the effective, continuous voltage delivered to the load. The Freewheeling diode is used in parallel with the load to provide a continuous path for current during non-conduction periods, reducing ripple and improving performance is calculated using RMS Voltage in Full Wave = Peak Input Voltage*sqrt(1/2-Trigger Angle in Radians/(2*pi)+sin(2*Trigger Angle in Degree)/(4*pi)). To calculate RMS Output Voltage of Single Phase Full Wave Controlled Rectifier with R Load of FWD, you need Peak Input Voltage (Vi(max)), Trigger Angle in Radians r) & Trigger Angle in Degree d). With our tool, you need to enter the respective value for Peak Input Voltage, 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.
How many ways are there to calculate RMS Voltage in Full Wave?
In this formula, RMS Voltage in Full Wave uses Peak Input Voltage, Trigger Angle in Radians & Trigger Angle in Degree. We can use 2 other way(s) to calculate the same, which is/are as follows -
• RMS Voltage in Full Wave = sqrt(((0.5*sin(2*Trigger Angle in Degree))+pi-Trigger Angle in Radians)*((Maximum Output Voltage^2)/(2*pi)))
• RMS Voltage in Full Wave = Maximum Output Voltage/sqrt(2)
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