RMS Output Voltage for Three Phase Semi-Converter Calculator

✖Peak Input Voltage 3 Phase Semi Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a semi converter circuit.ⓘ Peak Input Voltage 3 Phase Semi Converter [V_in(3Φ-semi)]			+10% -10%
✖Delay Angle of 3 Phase Semi Converter refers to the angle at which the thyristor is triggered to start conducting current in a 3 phase AC (alternating current) circuit.ⓘ Delay Angle of 3 Phase Semi Converter [α_(3Φ-semi)]			+10% -10%

✖RMS Output Voltage 3 Phase Semi Converter is defined as the root mean square value of the voltage at output terminal of a semi converter circuit.ⓘ RMS Output Voltage for Three Phase Semi-Converter [V_{rms(3Φ-semi)}]

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RMS Output Voltage for Three Phase Semi-Converter Solution

STEP 0: Pre-Calculation Summary

Formula Used

RMS Output Voltage 3 Phase Semi Converter = sqrt(3)*Peak Input Voltage 3 Phase Semi Converter*((3/(4*pi))*(pi-Delay Angle of 3 Phase Semi Converter+((sin(2*Delay Angle of 3 Phase Semi Converter))/2))^0.5)
V_{rms(3Φ-semi)} = sqrt(3)*V_in(3Φ-semi)*((3/(4*pi))*(pi-α_(3Φ-semi)+((sin(2*α_(3Φ-semi)))/2))^0.5)
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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

RMS Output Voltage 3 Phase Semi Converter - (Measured in Volt) - RMS Output Voltage 3 Phase Semi Converter is defined as the root mean square value of the voltage at output terminal of a semi converter circuit.
Peak Input Voltage 3 Phase Semi Converter - (Measured in Volt) - Peak Input Voltage 3 Phase Semi Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a semi converter circuit.
Delay Angle of 3 Phase Semi Converter - (Measured in Radian) - Delay Angle of 3 Phase Semi Converter refers to the angle at which the thyristor is triggered to start conducting current in a 3 phase AC (alternating current) circuit.

STEP 1: Convert Input(s) to Base Unit

Peak Input Voltage 3 Phase Semi Converter: 22.7 Volt --> 22.7 Volt No Conversion Required
Delay Angle of 3 Phase Semi Converter: 70.3 Degree --> 1.22696646415178 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_{rms(3Φ-semi)} = sqrt(3)*V_in(3Φ-semi)*((3/(4*pi))*(pi-α_(3Φ-semi)+((sin(2*α_(3Φ-semi)))/2))^0.5) --> sqrt(3)*22.7*((3/(4*pi))*(pi-1.22696646415178+((sin(2*1.22696646415178))/2))^0.5)

Evaluating ... ...

V_{rms(3Φ-semi)} = 14.023103459576

STEP 3: Convert Result to Output's Unit

14.023103459576 Volt --> No Conversion Required

FINAL ANSWER

14.023103459576 ≈ 14.0231 Volt <-- RMS Output Voltage 3 Phase Semi Converter

(Calculation completed in 00.004 seconds)

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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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< Three Phase Semi Converter Calculators

RMS Output Voltage for Three Phase Semi-Converter

LaTeX Go RMS Output Voltage 3 Phase Semi Converter = sqrt(3)*Peak Input Voltage 3 Phase Semi Converter*((3/(4*pi))*(pi-Delay Angle of 3 Phase Semi Converter+((sin(2*Delay Angle of 3 Phase Semi Converter))/2))^0.5)

Average Output Voltage for Three Phase Semi-Converter

LaTeX Go Average Voltage 3 Phase Semi Converter = (2.6*Peak Input Voltage 3 Phase Semi Converter*(1+cos(Delay Angle of 3 Phase Semi Converter)))/pi

Average Load Current of Three Phase Semi-Current

LaTeX Go Load Current 3 Phase Semi Converter = Average Voltage 3 Phase Semi Converter/Resistance 3 Phase Semi Converter

Normalized Average Output Voltage

LaTeX Go Normalized Output Voltage 3 Phase Semi Converter = 0.5*(1+cos(Delay Angle of 3 Phase Semi Converter))

< Power Converter Characteristics Calculators

DC Output Voltage of Second Converter

LaTeX 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

LaTeX 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

LaTeX 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

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

RMS Output Voltage for Three Phase Semi-Converter Formula

LaTeX Go

What is the meaning of root mean square?

The root mean square value of a quantity is the square root of the mean value of the squared values of the quantity taken over an interval. AC voltages are always given as RMS values because this allows a sensible comparison to be made with steady DC voltages.

How to Calculate RMS Output Voltage for Three Phase Semi-Converter?

RMS Output Voltage for Three Phase Semi-Converter calculator uses RMS Output Voltage 3 Phase Semi Converter = sqrt(3)*Peak Input Voltage 3 Phase Semi Converter*((3/(4*pi))*(pi-Delay Angle of 3 Phase Semi Converter+((sin(2*Delay Angle of 3 Phase Semi Converter))/2))^0.5) to calculate the RMS Output Voltage 3 Phase Semi Converter, The RMS output voltage for three phase semi-converter formula is the root mean square value of the average output voltage of the converter. RMS Output Voltage 3 Phase Semi Converter is denoted by V_{rms(3Φ-semi)} symbol.

How to calculate RMS Output Voltage for Three Phase Semi-Converter using this online calculator? To use this online calculator for RMS Output Voltage for Three Phase Semi-Converter, enter Peak Input Voltage 3 Phase Semi Converter (V_in(3Φ-semi)) & Delay Angle of 3 Phase Semi Converter (α_(3Φ-semi)) and hit the calculate button. Here is how the RMS Output Voltage for Three Phase Semi-Converter calculation can be explained with given input values -> 14.0231 = sqrt(3)*22.7*((3/(4*pi))*(pi-1.22696646415178+((sin(2*1.22696646415178))/2))^0.5).

FAQ

What is RMS Output Voltage for Three Phase Semi-Converter?

The RMS output voltage for three phase semi-converter formula is the root mean square value of the average output voltage of the converter and is represented as V_{rms(3Φ-semi)} = sqrt(3)*V_in(3Φ-semi)*((3/(4*pi))*(pi-α_(3Φ-semi)+((sin(2*α_(3Φ-semi)))/2))^0.5) or RMS Output Voltage 3 Phase Semi Converter = sqrt(3)*Peak Input Voltage 3 Phase Semi Converter*((3/(4*pi))*(pi-Delay Angle of 3 Phase Semi Converter+((sin(2*Delay Angle of 3 Phase Semi Converter))/2))^0.5). Peak Input Voltage 3 Phase Semi Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a semi converter circuit & Delay Angle of 3 Phase Semi Converter refers to the angle at which the thyristor is triggered to start conducting current in a 3 phase AC (alternating current) circuit.

How to calculate RMS Output Voltage for Three Phase Semi-Converter?

The RMS output voltage for three phase semi-converter formula is the root mean square value of the average output voltage of the converter is calculated using RMS Output Voltage 3 Phase Semi Converter = sqrt(3)*Peak Input Voltage 3 Phase Semi Converter*((3/(4*pi))*(pi-Delay Angle of 3 Phase Semi Converter+((sin(2*Delay Angle of 3 Phase Semi Converter))/2))^0.5). To calculate RMS Output Voltage for Three Phase Semi-Converter, you need Peak Input Voltage 3 Phase Semi Converter (V_in(3Φ-semi)) & Delay Angle of 3 Phase Semi Converter (α_(3Φ-semi)). With our tool, you need to enter the respective value for Peak Input Voltage 3 Phase Semi Converter & Delay Angle of 3 Phase Semi Converter 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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