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

✖Average Output Voltage in Full Wave gives the average value of output voltage.ⓘ Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD [V_avg(full)]

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

Formula

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

Example

`"9.453321V"=(2*"21V"*cos("45°"))/pi`

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

STEP 0: Pre-Calculation Summary

Formula Used

Average Output Voltage in Full Wave = (2*Maximum Output Voltage*cos(Trigger Angle in Degree))/pi
V_avg(full) = (2*V_o(max)*cos(α_d))/pi
This formula uses 1 Constants, 1 Functions, 3 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 Full Wave - (Measured in Volt) - Average Output Voltage in Full 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.

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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

V_avg(full) = 9.45332131965101

STEP 3: Convert Result to Output's Unit

9.45332131965101 Volt --> No Conversion Required

FINAL ANSWER

9.45332131965101 ≈ 9.453321 Volt <-- Average Output Voltage in Full Wave

(Calculation completed in 00.004 seconds)

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< 7 Full Wave Controlled Rectifiers Calculators

RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD

Go RMS Current = Peak Input Voltage/Resistance*sqrt(1/2-Trigger Angle in Radians/(2*pi)+sin(2*Trigger Angle in Degree)/(4*pi))

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)))

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

Go 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))

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

Average Voltage of DC in Single Phase Full Wave Controlled Rectifier with R Load of FWD

Go Average DC Voltage in Full Wave = Peak Input Voltage/pi*(1+cos(Trigger Angle in Degree))

RMS Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD

Go RMS Voltage in Full Wave = Maximum Output Voltage/sqrt(2)

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

Average Output Voltage in Full Wave = (2*Maximum Output Voltage*cos(Trigger Angle in Degree))/pi
V_avg(full) = (2*V_o(max)*cos(α_d))/pi

Explain 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 Average Output Voltage in Full Wave = (2*Maximum Output Voltage*cos(Trigger Angle in Degree))/pi to calculate the Average Output Voltage in Full Wave, 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 . Average Output Voltage in Full Wave is denoted by V_avg(full) 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 (V_o(max)) & Trigger Angle in Degree (α_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 -> 9.453321 = (2*21*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 V_avg(full) = (2*V_o(max)*cos(α_d))/pi or Average Output Voltage in Full Wave = (2*Maximum Output Voltage*cos(Trigger Angle in Degree))/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.

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 Average Output Voltage in Full Wave = (2*Maximum Output Voltage*cos(Trigger Angle in Degree))/pi. To calculate Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD, you need Maximum Output Voltage (V_o(max)) & Trigger Angle in Degree (α_d). With our tool, you need to enter the respective value for Maximum Output Voltage & 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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