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

✖Peak Input Voltage is the peak of the alternating voltage provided at the input of any electrical circuit.ⓘ Peak Input Voltage [V_i(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 DC Voltage in Full Wave in controlled rectifier is the voltage that is applied to the load. DC controlled rectifier is always less than the peak amplitude of the AC input voltage.ⓘ Average Voltage of DC in Single Phase Full Wave Controlled Rectifier with R Load of FWD [V_dc(full)]

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

Formula

`"V"_{"dc(full)"} = "V"_{"i(max)"}/pi*(1+cos("α"_{"d"}))`

Example

`"11.95456V"="22V"/pi*(1+cos("45°"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Average DC Voltage in Full Wave = Peak Input Voltage/pi*(1+cos(Trigger Angle in Degree))
V_dc(full) = V_i(max)/pi*(1+cos(α_d))
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 DC Voltage in Full Wave - (Measured in Volt) - Average DC Voltage in Full Wave in controlled rectifier is the voltage that is applied to the load. DC controlled rectifier is always less than the peak amplitude of the AC input voltage.
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 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 Degree: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_dc(full) = V_i(max)/pi*(1+cos(α_d)) --> 22/pi*(1+cos(0.785398163397301))

Evaluating ... ...

V_dc(full) = 11.9545572349082

STEP 3: Convert Result to Output's Unit

11.9545572349082 Volt --> No Conversion Required

FINAL ANSWER

11.9545572349082 ≈ 11.95456 Volt <-- Average DC Voltage in Full Wave

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electrical » Power Electronics » Controlled Rectifiers » Full Wave Controlled Rectifiers » Average Voltage of DC in Single Phase Full Wave Controlled Rectifier with R Load of FWD

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Created by Pratik Kumar Singh

Vellore Institute of Technology (VIT), Vellore

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

Average DC Voltage in Full Wave = Peak Input Voltage/pi*(1+cos(Trigger Angle in Degree))
V_dc(full) = V_i(max)/pi*(1+cos(α_d))

Explain the impact of the freewheeling diode on the average output voltage in the rectifier circuit?

The freewheeling diode in a rectifier circuit plays a critical role in reducing voltage fluctuations and improving the average output voltage. When the main thyristor turns off, the freewheeling diode provides a low-resistance path for the current to continue flowing. This prevents abrupt voltage drops during the commutation period, ensuring a smoother output.

How to Calculate Average Voltage of DC in Single Phase Full Wave Controlled Rectifier with R Load of FWD?

Average Voltage of DC in Single Phase Full Wave Controlled Rectifier with R Load of FWD calculator uses Average DC Voltage in Full Wave = Peak Input Voltage/pi*(1+cos(Trigger Angle in Degree)) to calculate the Average DC Voltage in Full Wave, The Average Voltage of DC in Single Phase Full Wave Controlled Rectifier with R Load of FWD formula is defined as the mean voltage level obtained from the rectification process. During each half-cycle of the input AC voltage, the rectifier allows the passage of current through the load, resulting in a non-zero output voltage. The freewheeling diode ensures a continuous current flow in the circuit. Average DC Voltage in Full Wave is denoted by V_dc(full) symbol.

How to calculate Average Voltage of DC in Single Phase Full Wave Controlled Rectifier with R Load of FWD using this online calculator? To use this online calculator for Average Voltage of DC in Single Phase Full Wave Controlled Rectifier with R Load of FWD, enter Peak Input Voltage (V_i(max)) & Trigger Angle in Degree (α_d) and hit the calculate button. Here is how the Average Voltage of DC in Single Phase Full Wave Controlled Rectifier with R Load of FWD calculation can be explained with given input values -> 11.95456 = 22/pi*(1+cos(0.785398163397301)).

FAQ

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

The Average Voltage of DC in Single Phase Full Wave Controlled Rectifier with R Load of FWD formula is defined as the mean voltage level obtained from the rectification process. During each half-cycle of the input AC voltage, the rectifier allows the passage of current through the load, resulting in a non-zero output voltage. The freewheeling diode ensures a continuous current flow in the circuit and is represented as V_dc(full) = V_i(max)/pi*(1+cos(α_d)) or Average DC Voltage in Full Wave = Peak Input Voltage/pi*(1+cos(Trigger Angle in Degree)). Peak Input Voltage is the peak of the alternating voltage provided at the input of any electrical circuit & Trigger Angle in Degree it gives the firing angle of thyristor in degree.

How to calculate Average Voltage of DC in Single Phase Full Wave Controlled Rectifier with R Load of FWD?

The Average Voltage of DC in Single Phase Full Wave Controlled Rectifier with R Load of FWD formula is defined as the mean voltage level obtained from the rectification process. During each half-cycle of the input AC voltage, the rectifier allows the passage of current through the load, resulting in a non-zero output voltage. The freewheeling diode ensures a continuous current flow in the circuit is calculated using Average DC Voltage in Full Wave = Peak Input Voltage/pi*(1+cos(Trigger Angle in Degree)). To calculate Average Voltage of DC in Single Phase Full Wave Controlled Rectifier with R Load of FWD, you need Peak Input Voltage (V_i(max)) & Trigger Angle in Degree (α_d). With our tool, you need to enter the respective value for Peak Input 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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