Average Armature Voltage of Three Phase Full-Converter Drives Calculator

✖Peak input voltage is the peak value of the sinusoidal input voltage V_msin(wt) to the converter drive.ⓘ Peak Input Voltage [V_m]			+10% -10%
✖Delay Angle of Thyristor is the angle at which thyristors are triggered after zero crossing.ⓘ Delay Angle of Thyristor [α]			+10% -10%

✖Full Drive Armature Voltage in Three Phase is the average voltage developed at the terminals of the armature of the DC full converter drive.ⓘ Average Armature Voltage of Three Phase Full-Converter Drives [V_{a(full_3p)}]

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Average Armature Voltage of Three Phase Full-Converter Drives

Formula

`"V"_{"a(full_3p)"} = (3*sqrt(3)*"V"_{"m"}*cos("α"))/pi`

Example

`"124.4533V"=(3*sqrt(3)*"220V"*cos("70°"))/pi`

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Average Armature Voltage of Three Phase Full-Converter Drives Solution

STEP 0: Pre-Calculation Summary

Formula Used

Full Drive Armature Voltage in Three Phase = (3*sqrt(3)*Peak Input Voltage*cos(Delay Angle of Thyristor))/pi
V_{a(full_3p)} = (3*sqrt(3)*V_m*cos(α))/pi
This formula uses 1 Constants, 2 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)
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

Full Drive Armature Voltage in Three Phase - (Measured in Volt) - Full Drive Armature Voltage in Three Phase is the average voltage developed at the terminals of the armature of the DC full converter drive.
Peak Input Voltage - (Measured in Volt) - Peak input voltage is the peak value of the sinusoidal input voltage V_msin(wt) to the converter drive.
Delay Angle of Thyristor - (Measured in Radian) - Delay Angle of Thyristor is the angle at which thyristors are triggered after zero crossing.

STEP 1: Convert Input(s) to Base Unit

Peak Input Voltage: 220 Volt --> 220 Volt No Conversion Required
Delay Angle of Thyristor: 70 Degree --> 1.2217304763958 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_{a(full_3p)} = (3*sqrt(3)*V_m*cos(α))/pi --> (3*sqrt(3)*220*cos(1.2217304763958))/pi

Evaluating ... ...

V_{a(full_3p)} = 124.45328796903

STEP 3: Convert Result to Output's Unit

124.45328796903 Volt --> No Conversion Required

FINAL ANSWER

124.45328796903 ≈ 124.4533 Volt <-- Full Drive Armature Voltage in Three Phase

(Calculation completed in 00.012 seconds)

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Home » Engineering » Electrical » Power Electronics » DC Drives » Three Phase Drives » Average Armature Voltage of Three Phase Full-Converter Drives

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Created by Devyaani Garg

Shiv Nadar University (SNU), Greater Noida

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Average Armature Voltage of Three Phase Full-Converter Drives

Go Full Drive Armature Voltage in Three Phase = (3*sqrt(3)*Peak Input Voltage*cos(Delay Angle of Thyristor))/pi

Average Field Voltage of Three Phase Semi-Converter Drive

Go Semi Drive Field Voltage in Three Phase = (3*Peak Input Voltage*(1+cos(Delay Angle of Thyristor)))/(2*pi)

Armature Terminal Voltage in Half-Wave Converter Drives

Go Average Output Voltage = ((3*Maximum Line Voltage)/(2*pi))*cos(Delay Angle of Thyristor)

Air Gap Power in Three Phase Induction Motor Drives

Go Air Gap Power = 3*Rotor Current^2*(Rotor Resistance/Slip)

Average Armature Voltage of Three Phase Full-Converter Drives Formula

Full Drive Armature Voltage in Three Phase = (3*sqrt(3)*Peak Input Voltage*cos(Delay Angle of Thyristor))/pi
V_{a(full_3p)} = (3*sqrt(3)*V_m*cos(α))/pi

What is three phase full-converter drive?

A three phase full-converter drive is a two quadrant drive and is limited to applications up to 1500 kW. The converter in the field circuit should be a single phase or three phase full-converter to reverse the polarity of the field current. During regeneration for reversing the direction of power flow, the back emf of the motor is reversed by reversing the field excitation.

What is the difference between a semi-converter and a full-converter?

The main difference between a semi-converter and a full-converter is that the semi-converter always has equal number of diodes and thyristor connected in a bridge structure whereas a full-converter has all the thyristors connected in the bridge structure, and no diodes are present.

How to Calculate Average Armature Voltage of Three Phase Full-Converter Drives?

Average Armature Voltage of Three Phase Full-Converter Drives calculator uses Full Drive Armature Voltage in Three Phase = (3*sqrt(3)*Peak Input Voltage*cos(Delay Angle of Thyristor))/pi to calculate the Full Drive Armature Voltage in Three Phase, The Average Armature Voltage of Three Phase Full-Converter Drives formula is the average voltage developed at the terminals of the armature of the DC motor drive. In the above formula, the delay angle of the armature thyristor (α_a) is considered. Full Drive Armature Voltage in Three Phase is denoted by V_{a(full_3p)} symbol.

How to calculate Average Armature Voltage of Three Phase Full-Converter Drives using this online calculator? To use this online calculator for Average Armature Voltage of Three Phase Full-Converter Drives, enter Peak Input Voltage (V_m) & Delay Angle of Thyristor (α) and hit the calculate button. Here is how the Average Armature Voltage of Three Phase Full-Converter Drives calculation can be explained with given input values -> 124.4533 = (3*sqrt(3)*220*cos(1.2217304763958))/pi.

FAQ

What is Average Armature Voltage of Three Phase Full-Converter Drives?

The Average Armature Voltage of Three Phase Full-Converter Drives formula is the average voltage developed at the terminals of the armature of the DC motor drive. In the above formula, the delay angle of the armature thyristor (α_a) is considered and is represented as V_{a(full_3p)} = (3*sqrt(3)*V_m*cos(α))/pi or Full Drive Armature Voltage in Three Phase = (3*sqrt(3)*Peak Input Voltage*cos(Delay Angle of Thyristor))/pi. Peak input voltage is the peak value of the sinusoidal input voltage V_msin(wt) to the converter drive & Delay Angle of Thyristor is the angle at which thyristors are triggered after zero crossing.

How to calculate Average Armature Voltage of Three Phase Full-Converter Drives?

The Average Armature Voltage of Three Phase Full-Converter Drives formula is the average voltage developed at the terminals of the armature of the DC motor drive. In the above formula, the delay angle of the armature thyristor (α_a) is considered is calculated using Full Drive Armature Voltage in Three Phase = (3*sqrt(3)*Peak Input Voltage*cos(Delay Angle of Thyristor))/pi. To calculate Average Armature Voltage of Three Phase Full-Converter Drives, you need Peak Input Voltage (V_m) & Delay Angle of Thyristor (α). With our tool, you need to enter the respective value for Peak Input Voltage & Delay Angle of Thyristor 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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