RMS Output Voltage of Three-Phase Full Converter Calculator

✖Peak Input Voltage 3 Phase Full Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a full converter circuit.ⓘ Peak Input Voltage 3 Phase Full Converter [V_in(3Φ-full)]			+10% -10%
✖Delay Angle of 3 Phase Full 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 Full Converter [α_d(3Φ-full)]			+10% -10%

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

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RMS Output Voltage of Three-Phase Full Converter Solution

STEP 0: Pre-Calculation Summary

Formula Used

RMS Output Voltage 3 Phase Full Converter = ((6)^0.5)*Peak Input Voltage 3 Phase Full Converter*((0.25+0.65*(cos(2*Delay Angle of 3 Phase Full Converter))/pi)^0.5)
V_{rms(3Φ-full)} = ((6)^0.5)*V_in(3Φ-full)*((0.25+0.65*(cos(2*α_d(3Φ-full)))/pi)^0.5)
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

RMS Output Voltage 3 Phase Full Converter - (Measured in Volt) - RMS Output Voltage 3 Phase Full Converter is defined as the root mean square value of the voltage at output terminal of a full converter circuit.
Peak Input Voltage 3 Phase Full Converter - (Measured in Volt) - Peak Input Voltage 3 Phase Full Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a full converter circuit.
Delay Angle of 3 Phase Full Converter - (Measured in Radian) - Delay Angle of 3 Phase Full 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 Full Converter: 220 Volt --> 220 Volt No Conversion Required
Delay Angle of 3 Phase Full Converter: 70 Degree --> 1.2217304763958 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_{rms(3Φ-full)} = ((6)^0.5)*V_in(3Φ-full)*((0.25+0.65*(cos(2*α_d(3Φ-full)))/pi)^0.5) --> ((6)^0.5)*220*((0.25+0.65*(cos(2*1.2217304763958))/pi)^0.5)

Evaluating ... ...

V_{rms(3Φ-full)} = 163.011816439861

STEP 3: Convert Result to Output's Unit

163.011816439861 Volt --> No Conversion Required

FINAL ANSWER

163.011816439861 ≈ 163.0118 Volt <-- RMS Output Voltage 3 Phase Full Converter

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power Electronics » Converters » Three Phase Full Converter » RMS Output Voltage of Three-Phase Full Converter

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Created by Devyaani Garg

Shiv Nadar University (SNU), Greater Noida

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Birsa Institute of Technology (BIT), Sindri

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< Three Phase Full Converter Calculators

RMS Output Voltage of Three-Phase Full Converter

LaTeX Go RMS Output Voltage 3 Phase Full Converter = ((6)^0.5)*Peak Input Voltage 3 Phase Full Converter*((0.25+0.65*(cos(2*Delay Angle of 3 Phase Full Converter))/pi)^0.5)

Average Output Voltage for Three-Phase Converter

LaTeX Go Average Voltage 3 Phase Full Converter = (2*Peak Phase Voltage Full Converter*cos(Delay Angle of 3 Phase Full Converter/2))/pi

Peak Average Output Voltage of Three-Phase Full Converters

LaTeX Go Peak Output Voltage 3 Phase Full Converter = (5.2*Peak Input Voltage 3 Phase Full Converter)/pi

Normalized Average Output Voltage in Three-Phase Full-Converter

LaTeX Go Normalized Output Voltage 3 Phase Full Converter = (cos(Delay Angle of 3 Phase Full 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 of Three-Phase Full Converter Formula

LaTeX Go

What is 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 of Three-Phase Full Converter?

RMS Output Voltage of Three-Phase Full Converter calculator uses RMS Output Voltage 3 Phase Full Converter = ((6)^0.5)*Peak Input Voltage 3 Phase Full Converter*((0.25+0.65*(cos(2*Delay Angle of 3 Phase Full Converter))/pi)^0.5) to calculate the RMS Output Voltage 3 Phase Full Converter, The RMS output voltage of three-phase full converter formula is the root mean square value of the average output voltage of the converter. RMS Output Voltage 3 Phase Full Converter is denoted by V_{rms(3Φ-full)} symbol.

How to calculate RMS Output Voltage of Three-Phase Full Converter using this online calculator? To use this online calculator for RMS Output Voltage of Three-Phase Full Converter, enter Peak Input Voltage 3 Phase Full Converter (V_in(3Φ-full)) & Delay Angle of 3 Phase Full Converter (α_d(3Φ-full)) and hit the calculate button. Here is how the RMS Output Voltage of Three-Phase Full Converter calculation can be explained with given input values -> 163.0118 = ((6)^0.5)*220*((0.25+0.65*(cos(2*1.2217304763958))/pi)^0.5).

FAQ

What is RMS Output Voltage of Three-Phase Full Converter?

The RMS output voltage of three-phase full converter formula is the root mean square value of the average output voltage of the converter and is represented as V_{rms(3Φ-full)} = ((6)^0.5)*V_in(3Φ-full)*((0.25+0.65*(cos(2*α_d(3Φ-full)))/pi)^0.5) or RMS Output Voltage 3 Phase Full Converter = ((6)^0.5)*Peak Input Voltage 3 Phase Full Converter*((0.25+0.65*(cos(2*Delay Angle of 3 Phase Full Converter))/pi)^0.5). Peak Input Voltage 3 Phase Full Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a full converter circuit & Delay Angle of 3 Phase Full 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 of Three-Phase Full Converter?

The RMS output voltage of three-phase full converter formula is the root mean square value of the average output voltage of the converter is calculated using RMS Output Voltage 3 Phase Full Converter = ((6)^0.5)*Peak Input Voltage 3 Phase Full Converter*((0.25+0.65*(cos(2*Delay Angle of 3 Phase Full Converter))/pi)^0.5). To calculate RMS Output Voltage of Three-Phase Full Converter, you need Peak Input Voltage 3 Phase Full Converter (V_in(3Φ-full)) & Delay Angle of 3 Phase Full Converter (α_d(3Φ-full)). With our tool, you need to enter the respective value for Peak Input Voltage 3 Phase Full Converter & Delay Angle of 3 Phase Full 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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