Average Output Voltage for Three-Phase Converter Calculator

✖Peak Phase Voltage Full Converter refers to the maximum instantaneous voltage of each phase of the AC supply.ⓘ Peak Phase Voltage Full Converter [V_m(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%

✖Average Voltage 3 Phase Full Converter is defined as the average of voltage over one complete cycle in a full converter circuit.ⓘ Average Output Voltage for Three-Phase Converter [V_{avg(3Φ-full)}]

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Average Output Voltage for Three-Phase Converter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Voltage 3 Phase Full Converter = (2*Peak Phase Voltage Full Converter*cos(Delay Angle of 3 Phase Full Converter/2))/pi
V_{avg(3Φ-full)} = (2*V_m(3Φ-full)*cos(α_d(3Φ-full)/2))/pi
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 3 Phase Full Converter - (Measured in Volt) - Average Voltage 3 Phase Full Converter is defined as the average of voltage over one complete cycle in a full converter circuit.
Peak Phase Voltage Full Converter - (Measured in Volt) - Peak Phase Voltage Full Converter refers to the maximum instantaneous voltage of each phase of the AC supply.
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 Phase Voltage Full Converter: 221 Volt --> 221 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_{avg(3Φ-full)} = (2*V_m(3Φ-full)*cos(α_d(3Φ-full)/2))/pi --> (2*221*cos(1.2217304763958/2))/pi

Evaluating ... ...

V_{avg(3Φ-full)} = 115.248933741312

STEP 3: Convert Result to Output's Unit

115.248933741312 Volt --> No Conversion Required

FINAL ANSWER

115.248933741312 ≈ 115.2489 Volt <-- Average Voltage 3 Phase Full Converter

(Calculation completed in 00.004 seconds)

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Credits

Created by Devyaani Garg

Shiv Nadar University (SNU), Greater Noida

Devyaani Garg has created this Calculator and 50+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 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))

Average Output Voltage for Three-Phase Converter Formula

LaTeX Go

Average Voltage 3 Phase Full Converter = (2*Peak Phase Voltage Full Converter*cos(Delay Angle of 3 Phase Full Converter/2))/pi
V_{avg(3Φ-full)} = (2*V_m(3Φ-full)*cos(α_d(3Φ-full)/2))/pi

What are three phase full converters? What are their applications?

three phase full converter is a fully controlled bridge controlled rectifier using six thyristors connected in the form of a full wave bridge configuration. All the six thyristors are controlled switches which are turned on at a appropriate times by applying suitable gate trigger signals. These are extensively used in industrial applications up to the 120 kW level.

How to Calculate Average Output Voltage for Three-Phase Converter?

Average Output Voltage for Three-Phase Converter calculator uses Average Voltage 3 Phase Full Converter = (2*Peak Phase Voltage Full Converter*cos(Delay Angle of 3 Phase Full Converter/2))/pi to calculate the Average Voltage 3 Phase Full Converter, The Average output voltage for three-phase converter formula is the average dc value of the output voltage. It is directly proportional to the peak input voltage of the converter. Average Voltage 3 Phase Full Converter is denoted by V_{avg(3Φ-full)} symbol.

How to calculate Average Output Voltage for Three-Phase Converter using this online calculator? To use this online calculator for Average Output Voltage for Three-Phase Converter, enter Peak Phase Voltage Full Converter (V_m(3Φ-full)) & Delay Angle of 3 Phase Full Converter (α_d(3Φ-full)) and hit the calculate button. Here is how the Average Output Voltage for Three-Phase Converter calculation can be explained with given input values -> 115.2489 = (2*221*cos(1.2217304763958/2))/pi.

FAQ

What is Average Output Voltage for Three-Phase Converter?

The Average output voltage for three-phase converter formula is the average dc value of the output voltage. It is directly proportional to the peak input voltage of the converter and is represented as V_{avg(3Φ-full)} = (2*V_m(3Φ-full)*cos(α_d(3Φ-full)/2))/pi or Average Voltage 3 Phase Full Converter = (2*Peak Phase Voltage Full Converter*cos(Delay Angle of 3 Phase Full Converter/2))/pi. Peak Phase Voltage Full Converter refers to the maximum instantaneous voltage of each phase of the AC supply & 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 Average Output Voltage for Three-Phase Converter?

The Average output voltage for three-phase converter formula is the average dc value of the output voltage. It is directly proportional to the peak input voltage of the converter is calculated using Average Voltage 3 Phase Full Converter = (2*Peak Phase Voltage Full Converter*cos(Delay Angle of 3 Phase Full Converter/2))/pi. To calculate Average Output Voltage for Three-Phase Converter, you need Peak Phase Voltage Full Converter (V_m(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 Phase Voltage 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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