Average Output Voltage of Single Phase Thyristor Converter with Resistive Load Calculator

✖Peak Input Voltage Thyristor Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a thyristor based converter circuit.ⓘ Peak Input Voltage Thyristor Converter [V_in(thy)]			+10% -10%
✖Delay Angle of Thyristor Converter refers to the angle at which the thyristor is triggered to start conducting current in an AC (alternating current) circuit.ⓘ Delay Angle of Thyristor Converter [α_d(thy)]			+10% -10%

✖Average Voltage Thyristor Converter is defined as the average of voltage over one complete cycle in a thyristor based converter circuit.ⓘ Average Output Voltage of Single Phase Thyristor Converter with Resistive Load [V_avg(thy)]

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Formula

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Average Output Voltage of Single Phase Thyristor Converter with Resistive Load

Formula

V avg(thy) = (\frac{V in(thy)}{2 \cdot π}) \cdot (1 + \cos (α d(thy)))

Example

2.556801 V = (\frac{12 V}{2 \cdot π}) \cdot (1 + \cos (70.2 °))

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Average Output Voltage of Single Phase Thyristor Converter with Resistive Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Voltage Thyristor Converter = (Peak Input Voltage Thyristor Converter/(2*pi))*(1+cos(Delay Angle of Thyristor Converter))
V_avg(thy) = (V_in(thy)/(2*pi))*(1+cos(α_d(thy)))
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 Voltage Thyristor Converter - (Measured in Volt) - Average Voltage Thyristor Converter is defined as the average of voltage over one complete cycle in a thyristor based converter circuit.
Peak Input Voltage Thyristor Converter - (Measured in Volt) - Peak Input Voltage Thyristor Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a thyristor based converter circuit.
Delay Angle of Thyristor Converter - (Measured in Radian) - Delay Angle of Thyristor Converter refers to the angle at which the thyristor is triggered to start conducting current in an AC (alternating current) circuit.

STEP 1: Convert Input(s) to Base Unit

Peak Input Voltage Thyristor Converter: 12 Volt --> 12 Volt No Conversion Required
Delay Angle of Thyristor Converter: 70.2 Degree --> 1.22522113489979 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_avg(thy) = (V_in(thy)/(2*pi))*(1+cos(α_d(thy))) --> (12/(2*pi))*(1+cos(1.22522113489979))

Evaluating ... ...

V_avg(thy) = 2.55680109013963

STEP 3: Convert Result to Output's Unit

2.55680109013963 Volt --> No Conversion Required

FINAL ANSWER

2.55680109013963 ≈ 2.556801 Volt <-- Average Voltage Thyristor Converter

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electrical » Power Electronics » Converters » Single Phase Thyristor Converter » Average Output Voltage of Single Phase Thyristor Converter with Resistive Load

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Created by Devyaani Garg

Shiv Nadar University (SNU), Greater Noida

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Vellore Institute of Technology (VIT), Vellore

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< Single Phase Thyristor Converter Calculators

RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load

Go RMS Voltage Thyristor Converter = (Peak Input Voltage Thyristor Converter/2)*((180-Delay Angle of Thyristor Converter)/180+(0.5/pi)*sin(2*Delay Angle of Thyristor Converter))^0.5

Average Output Voltage of Single Phase Thyristor Converter with Resistive Load

Go Average Voltage Thyristor Converter = (Peak Input Voltage Thyristor Converter/(2*pi))*(1+cos(Delay Angle of Thyristor Converter))

Normalized Voltage of Single Phase Thyristor Converter with Resistive Load

Go Normalized Output Voltage Thyristor Converter = 0.5*(1+cos(Delay Angle of Thyristor Converter))

Maximum Output Voltage of Single Phase Thyristor Converter with Resistive Load

Go Peak Output Voltage Thyristor Converter = Peak Input Voltage Thyristor Converter/pi

< Power Converter Characteristics Calculators

DC Output Voltage of Second Converter

Go DC Output Voltage Second Converter = (2*Peak Input Voltage Dual Converter*(cos(Delay Angle of Second Converter)))/pi

DC Output Voltage for First Converter

Go DC Output Voltage First Converter = (2*Peak Input Voltage Dual Converter*(cos(Delay Angle of First Converter)))/pi

Average DC Output Voltage of Single Phase Full Converter

Go Average Voltage Full Converter = (2*Maximum DC Output Voltage Full Converter*cos(Firing Angle Full Converter))/pi

RMS Output Voltage of Single Phase Full Converter

Go RMS Output Voltage Full Converter = Maximum Input Voltage Full Converter/(sqrt(2))

Average Output Voltage of Single Phase Thyristor Converter with Resistive Load Formula

Average Voltage Thyristor Converter = (Peak Input Voltage Thyristor Converter/(2*pi))*(1+cos(Delay Angle of Thyristor Converter))
V_avg(thy) = (V_in(thy)/(2*pi))*(1+cos(α_d(thy)))

What is single phase thyristor converter?

Single-phase thyristor converter converts the AC voltage to a DC voltage at the output. This type of converter consists of a single forward-biased thyristor having a firing angle of α and a resistance at the load. A resistive load means the load current is constant.

How to Calculate Average Output Voltage of Single Phase Thyristor Converter with Resistive Load?

Average Output Voltage of Single Phase Thyristor Converter with Resistive Load calculator uses Average Voltage Thyristor Converter = (Peak Input Voltage Thyristor Converter/(2*pi))*(1+cos(Delay Angle of Thyristor Converter)) to calculate the Average Voltage Thyristor Converter, The Average output voltage of single phase thyristor converter with resistive load is the average value of the dc output of the converter. It depends on the peak input voltage and the firing angle of the thyristor. Average Voltage Thyristor Converter is denoted by V_avg(thy) symbol.

How to calculate Average Output Voltage of Single Phase Thyristor Converter with Resistive Load using this online calculator? To use this online calculator for Average Output Voltage of Single Phase Thyristor Converter with Resistive Load, enter Peak Input Voltage Thyristor Converter (V_in(thy)) & Delay Angle of Thyristor Converter (α_d(thy)) and hit the calculate button. Here is how the Average Output Voltage of Single Phase Thyristor Converter with Resistive Load calculation can be explained with given input values -> 2.56307 = (12/(2*pi))*(1+cos(1.22522113489979)).

FAQ

What is Average Output Voltage of Single Phase Thyristor Converter with Resistive Load?

The Average output voltage of single phase thyristor converter with resistive load is the average value of the dc output of the converter. It depends on the peak input voltage and the firing angle of the thyristor and is represented as V_avg(thy) = (V_in(thy)/(2*pi))*(1+cos(α_d(thy))) or Average Voltage Thyristor Converter = (Peak Input Voltage Thyristor Converter/(2*pi))*(1+cos(Delay Angle of Thyristor Converter)). Peak Input Voltage Thyristor Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a thyristor based converter circuit & Delay Angle of Thyristor Converter refers to the angle at which the thyristor is triggered to start conducting current in an AC (alternating current) circuit.

How to calculate Average Output Voltage of Single Phase Thyristor Converter with Resistive Load?

The Average output voltage of single phase thyristor converter with resistive load is the average value of the dc output of the converter. It depends on the peak input voltage and the firing angle of the thyristor is calculated using Average Voltage Thyristor Converter = (Peak Input Voltage Thyristor Converter/(2*pi))*(1+cos(Delay Angle of Thyristor Converter)). To calculate Average Output Voltage of Single Phase Thyristor Converter with Resistive Load, you need Peak Input Voltage Thyristor Converter (V_in(thy)) & Delay Angle of Thyristor Converter (α_d(thy)). With our tool, you need to enter the respective value for Peak Input Voltage Thyristor Converter & Delay Angle of Thyristor Converter 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 Average Voltage Thyristor Converter?

In this formula, Average Voltage Thyristor Converter uses Peak Input Voltage Thyristor Converter & Delay Angle of Thyristor Converter. We can use 1 other way(s) to calculate the same, which is/are as follows -

Average Voltage Thyristor Converter = ((1/(2*pi))*int(Peak Input Voltage Thyristor Converter*sin(x),x,Firing Angle of Thyristor Converter,pi))

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