Average Armature Voltage of Single Phase Half-Wave Converter Drive 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%

✖Half Drive Armature Voltage is the average voltage developed at the terminals of the armature of the DC half converter drive.ⓘ Average Armature Voltage of Single Phase Half-Wave Converter Drive [V_a(half)]

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Formula

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Average Armature Voltage of Single Phase Half-Wave Converter Drive

Formula

`"V"_{"a(half)"} = "V"_{"m"}/(2*pi)*(1+cos("α"))`

Example

`"46.98961V"="220V"/(2*pi)*(1+cos("70°"))`

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Average Armature Voltage of Single Phase Half-Wave Converter Drive Solution

STEP 0: Pre-Calculation Summary

Formula Used

Half Drive Armature Voltage = Peak Input Voltage/(2*pi)*(1+cos(Delay Angle of Thyristor))
V_a(half) = V_m/(2*pi)*(1+cos(α))
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

Half Drive Armature Voltage - (Measured in Volt) - Half Drive Armature Voltage is the average voltage developed at the terminals of the armature of the DC half 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(half) = V_m/(2*pi)*(1+cos(α)) --> 220/(2*pi)*(1+cos(1.2217304763958))

Evaluating ... ...

V_a(half) = 46.9896106986259

STEP 3: Convert Result to Output's Unit

46.9896106986259 Volt --> No Conversion Required

FINAL ANSWER

46.9896106986259 ≈ 46.98961 Volt <-- Half Drive Armature Voltage

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electrical » Power Electronics » DC Drives » Single Phase Drives » Average Armature Voltage of Single Phase Half-Wave Converter Drive

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< 6 Single Phase Drives Calculators

RMS Value of Freewheeling Diode Current in Half Wave Converter Drives

Go RMS Freewheeling Diode Current = Armature Current*sqrt((pi+Delay Angle of Thyristor)/(2*pi))

Average Armature Voltage of Single Phase Half-Wave Converter Drive

Go Half Drive Armature Voltage = Peak Input Voltage/(2*pi)*(1+cos(Delay Angle of Thyristor))

RMS Value of Thyristor Current in Half Wave Converter Drives

Go RMS of Source Current = Armature Current*((pi-Delay Angle of Thyristor)/(2*pi))^(1/2)

Average Armature Voltage of Single Phase Full-Converter Drives

Go Full Drive Armature Voltage = (2*Peak Input Voltage*cos(Delay Angle of Thyristor))/pi

Average Field Voltage of Single Phase Semi-Converter Drives

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

Input Power of Single Phase Full Converter Drives

Go Input Power = ((2*sqrt(2))/pi)*cos(Delay Angle of Thyristor)

Average Armature Voltage of Single Phase Half-Wave Converter Drive Formula

Half Drive Armature Voltage = Peak Input Voltage/(2*pi)*(1+cos(Delay Angle of Thyristor))
V_a(half) = V_m/(2*pi)*(1+cos(α))

What is a single phase half-wave converter drive?

In single phase half-wave converter drive, the armature current is always discontinuous unless a very large inductor is connected in the armature circuit. The applications of this drive are limited to the 0.5 kW power level. The converter in the field circuit should be a semi-converter.

Why should we not use a half-wave converter in the field circuit?

A half-wave converter is not preferred in the field circuit of single phase half-wave converter drive because it would increase the magnetic losses of the motor due to high ripple content on the field excitation current.

How to Calculate Average Armature Voltage of Single Phase Half-Wave Converter Drive?

Average Armature Voltage of Single Phase Half-Wave Converter Drive calculator uses Half Drive Armature Voltage = Peak Input Voltage/(2*pi)*(1+cos(Delay Angle of Thyristor)) to calculate the Half Drive Armature Voltage, The Average Armature Voltage of Single Phase Half-Wave Converter Drive 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. Half Drive Armature Voltage is denoted by V_a(half) symbol.

How to calculate Average Armature Voltage of Single Phase Half-Wave Converter Drive using this online calculator? To use this online calculator for Average Armature Voltage of Single Phase Half-Wave Converter Drive, enter Peak Input Voltage (V_m) & Delay Angle of Thyristor (α) and hit the calculate button. Here is how the Average Armature Voltage of Single Phase Half-Wave Converter Drive calculation can be explained with given input values -> 46.98961 = 220/(2*pi)*(1+cos(1.2217304763958)).

FAQ

What is Average Armature Voltage of Single Phase Half-Wave Converter Drive?

The Average Armature Voltage of Single Phase Half-Wave Converter Drive 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(half) = V_m/(2*pi)*(1+cos(α)) or Half Drive Armature Voltage = Peak Input Voltage/(2*pi)*(1+cos(Delay Angle of Thyristor)). 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 Single Phase Half-Wave Converter Drive?

The Average Armature Voltage of Single Phase Half-Wave Converter Drive 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 Half Drive Armature Voltage = Peak Input Voltage/(2*pi)*(1+cos(Delay Angle of Thyristor)). To calculate Average Armature Voltage of Single Phase Half-Wave Converter Drive, 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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