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

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Half Drive Armature Voltage is the average voltage developed at the terminals of the armature of the DC half converter drive. Check FAQs

V a(half) = \frac{V m}{2 \cdot π} \cdot (1 + \cos (α))

V_a(half) - Half Drive Armature Voltage?V_m - Peak Input Voltage?α - Delay Angle of Thyristor?π - Archimedes' constant?

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

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Here is how the Average Armature Voltage of Single Phase Half-Wave Converter Drive equation looks like with Values.

Here is how the Average Armature Voltage of Single Phase Half-Wave Converter Drive equation looks like with Units.

Here is how the Average Armature Voltage of Single Phase Half-Wave Converter Drive equation looks like.

46.9896 = \frac{220}{2 \cdot 3.1416} \cdot (1 + \cos (70))

46.9896V = \frac{220V}{2 \cdot 3.1416} \cdot (1 + \cos (70°))

46.9896 = \frac{220}{2 \cdot 3.1416} \cdot (1 + \cos (70))

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

Follow our step by step solution on how to calculate Average Armature Voltage of Single Phase Half-Wave Converter Drive?

FIRST Step Consider the formula

V a(half) = \frac{V m}{2 \cdot π} \cdot (1 + \cos (α))

Next Step Substitute values of Variables

∴

V a(half) = \frac{220V}{2 \cdot π} \cdot (1 + \cos (70°))

Next Step Substitute values of Constants

∴

V a(half) = \frac{220V}{2 \cdot 3.1416} \cdot (1 + \cos (70°))

Next Step Convert Units

∴

V a(half) = \frac{220V}{2 \cdot 3.1416} \cdot (1 + \cos (1.2217rad))

Next Step Prepare to Evaluate

∴

V a(half) = \frac{220}{2 \cdot 3.1416} \cdot (1 + \cos (1.2217))

Next Step Evaluate

∴

V a(half) = 46.9896106986259V

LAST Step Rounding Answer

∴

V a(half) = 46.9896V

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

Variables

Constants

Functions

Half Drive Armature Voltage

Half Drive Armature Voltage is the average voltage developed at the terminals of the armature of the DC half converter drive.

Symbol: V_a(half)

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Half Drive Armature Voltage

Peak Input Voltage

Peak input voltage is the peak value of the sinusoidal input voltage V_msin(wt) to the converter drive.

Symbol: V_m

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Peak Input Voltage

Delay Angle of Thyristor

Delay Angle of Thyristor is the angle at which thyristors are triggered after zero crossing.

Symbol: α

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Delay Angle of Thyristor

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Single Phase Drives category

Go Average Field Voltage of Single Phase Semi-Converter Drives

V f(semi) = (\frac{V m}{π}) \cdot (1 + \cos (α))

Go Average Armature Voltage of Single Phase Full-Converter Drives

V a(full) = \frac{2 \cdot V m \cdot \cos (α)}{π}

Go RMS Value of Thyristor Current in Half Wave Converter Drives

I sr = I a \cdot {(\frac{π - α}{2 \cdot π})}^{\frac{1}{2}}

Go RMS Value of Freewheeling Diode Current in Half Wave Converter Drives

I fdr = I a \cdot \sqrt{\frac{π + α}{2 \cdot π}}

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

Average Armature Voltage of Single Phase Half-Wave Converter Drive evaluator uses Half Drive Armature Voltage = Peak Input Voltage/(2*pi)*(1+cos(Delay Angle of Thyristor)) to evaluate 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 evaluate Average Armature Voltage of Single Phase Half-Wave Converter Drive using this online evaluator? To use this online evaluator 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.

FAQs on Average Armature Voltage of Single Phase Half-Wave Converter Drive

What is the formula to find Average Armature Voltage of Single Phase Half-Wave Converter Drive?

The formula of Average Armature Voltage of Single Phase Half-Wave Converter Drive is expressed as Half Drive Armature Voltage = Peak Input Voltage/(2*pi)*(1+cos(Delay Angle of Thyristor)). Here is an example- 46.98961 = 220/(2*pi)*(1+cos(1.2217304763958)).

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

With Peak Input Voltage (V_m) & Delay Angle of Thyristor (α) we can find Average Armature Voltage of Single Phase Half-Wave Converter Drive using the formula - Half Drive Armature Voltage = Peak Input Voltage/(2*pi)*(1+cos(Delay Angle of Thyristor)). This formula also uses Archimedes' constant and Cosine function(s).

Can the Average Armature Voltage of Single Phase Half-Wave Converter Drive be negative?

Yes, the Average Armature Voltage of Single Phase Half-Wave Converter Drive, measured in Electric Potential can be negative.

Which unit is used to measure Average Armature Voltage of Single Phase Half-Wave Converter Drive?

Average Armature Voltage of Single Phase Half-Wave Converter Drive is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Average Armature Voltage of Single Phase Half-Wave Converter Drive can be measured.

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