## Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD Solution

STEP 0: Pre-Calculation Summary
Formula Used
Avg Output voltage = (2*Maximum Output Voltage*cos(Alpha Thyristor Angle))/pi
Vavg = (2*Vmax, o/p*cos(αd))/pi
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
cos - Trigonometric cosine function, cos(Angle)
Variables Used
Avg Output voltage - (Measured in Volt) - Avg Output voltage 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.
Alpha Thyristor Angle - (Measured in Radian) - Alpha Thyristor Angle gives the firing angle of thyristor.
STEP 1: Convert Input(s) to Base Unit
Maximum Output Voltage: 22 Volt --> 22 Volt No Conversion Required
Alpha Thyristor Angle: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vavg = (2*Vmax, o/p*cos(αd))/pi --> (2*22*cos(0.785398163397301))/pi
Evaluating ... ...
Vavg = 9.90347947772963
STEP 3: Convert Result to Output's Unit
9.90347947772963 Volt --> No Conversion Required
9.90347947772963 Volt <-- Avg Output voltage
(Calculation completed in 00.000 seconds)
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## < 3 Full Wave Calculators

RMS Voltage of Full Wave Thyristor Rectifier with R Load
RMS Voltage = sqrt(((0.5*sin(2*Alpha))+pi-Alpha)*((Maximum Output Voltage^2)/(2*pi)))
Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD
Avg Output voltage = (2*Maximum Output Voltage*cos(Alpha Thyristor Angle))/pi
RMS Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD
RMS Voltage = Maximum Output Voltage/sqrt(2)

## Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD Formula

Avg Output voltage = (2*Maximum Output Voltage*cos(Alpha Thyristor Angle))/pi
Vavg = (2*Vmax, o/p*cos(αd))/pi

## Understanding Extinction angle

Extinction angle refers to the. time interval from the instant when the current through an outgoing thyristor becomes zero (and a negative voltage applied across it) to the instant when a positive voltage is reapplied.

If the inductance is assumed to be very large, then the converter operates in CCM(Continuous Conduction Mode). In this case, β=Π +α . For R load, β = Π.

## Freewheeling diode(FWD)

Freewheeling diode is used to protect the circuit from unusual damage caused due to abrupt reduction in the current flowing through the circuit. It is also known as Flyback diode and forms connection across the inductor to remove Flyback voltage generated across it.

## How to Calculate Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD?

Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD calculator uses Avg Output voltage = (2*Maximum Output Voltage*cos(Alpha Thyristor Angle))/pi to calculate the Avg Output voltage, The Average voltage of Full Wave Thyristor Rectifier with RL load (CCM) without FWD is used to calculate the average voltage of converter operating in CCM, where β=Π+α . Avg Output voltage is denoted by Vavg symbol.

How to calculate Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD using this online calculator? To use this online calculator for Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD, enter Maximum Output Voltage (Vmax, o/p) & Alpha Thyristor Angle d) and hit the calculate button. Here is how the Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD calculation can be explained with given input values -> 9.903479 = (2*22*cos(0.785398163397301))/pi.

### FAQ

What is Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD?
The Average voltage of Full Wave Thyristor Rectifier with RL load (CCM) without FWD is used to calculate the average voltage of converter operating in CCM, where β=Π+α and is represented as Vavg = (2*Vmax, o/p*cos(αd))/pi or Avg Output voltage = (2*Maximum Output Voltage*cos(Alpha Thyristor Angle))/pi. Maximum Output Voltage is the Maximum voltage that can be produced at the output of the converter of any controlled rectifier & Alpha Thyristor Angle gives the firing angle of thyristor.
How to calculate Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD?
The Average voltage of Full Wave Thyristor Rectifier with RL load (CCM) without FWD is used to calculate the average voltage of converter operating in CCM, where β=Π+α is calculated using Avg Output voltage = (2*Maximum Output Voltage*cos(Alpha Thyristor Angle))/pi. To calculate Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD, you need Maximum Output Voltage (Vmax, o/p) & Alpha Thyristor Angle d). With our tool, you need to enter the respective value for Maximum Output Voltage & Alpha Thyristor Angle 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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