Average Load Voltage for Calculus Function 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%
✖Firing Angle of Thyristor Converter refers to the Angle at which the Thyristor is triggered to start Conducting Current in an AC (alternating current) Circuit.ⓘ Firing Angle of Thyristor Converter [α_f(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 Load Voltage for Calculus Function [V_avg(thy)]

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Formula

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Average Load Voltage for Calculus Function

Formula

`"V"_{"avg(thy)"} = ((1/(2*pi))*int("V"_{"in(thy)"}*sin(x),x,"α"_{"f(thy)"},pi))`

Example

`"3.603925V"=((1/(2*pi))*int("12V"*sin(x),x,"27.5°",pi))`

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Average Load Voltage for Calculus Function Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Voltage Thyristor Converter = ((1/(2*pi))*int(Peak Input Voltage Thyristor Converter*sin(x),x,Firing Angle of Thyristor Converter,pi))
V_avg(thy) = ((1/(2*pi))*int(V_in(thy)*sin(x),x,α_f(thy),pi))
This formula uses 1 Constants, 2 Functions, 3 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)
int - The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis., int(expr, arg, from, to)

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.
Firing Angle of Thyristor Converter - (Measured in Radian) - Firing 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
Firing Angle of Thyristor Converter: 27.5 Degree --> 0.47996554429835 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_avg(thy) = ((1/(2*pi))*int(V_in(thy)*sin(x),x,α_f(thy),pi)) --> ((1/(2*pi))*int(12*sin(x),x,0.47996554429835,pi))

Evaluating ... ...

V_avg(thy) = 3.60392518951546

STEP 3: Convert Result to Output's Unit

3.60392518951546 Volt --> No Conversion Required

FINAL ANSWER

3.60392518951546 ≈ 3.603925 Volt <-- Average Voltage Thyristor Converter

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power Electronics » Converters » Single Phase Thyristor Converter » Average Load Voltage for Calculus Function

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Created by Siddharth Raj

Heritage Institute of Technology ( HITK), Kolkata

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< 5 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 Load Voltage for Calculus Function

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

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

Average Load Voltage for Calculus Function Formula

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 Load Voltage for Calculus Function?

Average Load Voltage for Calculus Function calculator uses Average Voltage Thyristor Converter = ((1/(2*pi))*int(Peak Input Voltage Thyristor Converter*sin(x),x,Firing Angle of Thyristor Converter,pi)) to calculate the Average Voltage Thyristor Converter, The Average Load Voltage for Calculus Function formula is defined as 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 Load Voltage for Calculus Function using this online calculator? To use this online calculator for Average Load Voltage for Calculus Function, enter Peak Input Voltage Thyristor Converter (V_in(thy)) & Firing Angle of Thyristor Converter (α_f(thy)) and hit the calculate button. Here is how the Average Load Voltage for Calculus Function calculation can be explained with given input values -> 3.781649 = ((1/(2*pi))*int(12*sin(x),x,0.47996554429835,pi)).

FAQ

What is Average Load Voltage for Calculus Function?

The Average Load Voltage for Calculus Function formula is defined as 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) = ((1/(2*pi))*int(V_in(thy)*sin(x),x,α_f(thy),pi)) or Average Voltage Thyristor Converter = ((1/(2*pi))*int(Peak Input Voltage Thyristor Converter*sin(x),x,Firing Angle of Thyristor Converter,pi)). 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 & Firing 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 Load Voltage for Calculus Function?

The Average Load Voltage for Calculus Function formula is defined as 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 = ((1/(2*pi))*int(Peak Input Voltage Thyristor Converter*sin(x),x,Firing Angle of Thyristor Converter,pi)). To calculate Average Load Voltage for Calculus Function, you need Peak Input Voltage Thyristor Converter (V_in(thy)) & Firing Angle of Thyristor Converter (α_f(thy)). With our tool, you need to enter the respective value for Peak Input Voltage Thyristor Converter & Firing 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 & Firing Angle of Thyristor Converter. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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