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Average Armature Voltage of Three Phase Full-Converter Drives Formula

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Full Drive Armature Voltage in Three Phase is the average voltage developed at the terminals of the armature of the DC full converter drive. Check FAQs

V a(full_3p) = \frac{3 \cdot \sqrt{3} \cdot V m \cdot \cos (α)}{π}

V_{a(full_3p)} - Full Drive Armature Voltage in Three Phase?V_m - Peak Input Voltage?α - Delay Angle of Thyristor?π - Archimedes' constant?

Average Armature Voltage of Three Phase Full-Converter Drives Example

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Here is how the Average Armature Voltage of Three Phase Full-Converter Drives equation looks like with Values.

Here is how the Average Armature Voltage of Three Phase Full-Converter Drives equation looks like with Units.

Here is how the Average Armature Voltage of Three Phase Full-Converter Drives equation looks like.

124.4533 = \frac{3 \cdot \sqrt{3} \cdot 220 \cdot \cos (70)}{3.1416}

124.4533V = \frac{3 \cdot \sqrt{3} \cdot 220V \cdot \cos (70°)}{3.1416}

124.4533 = \frac{3 \cdot \sqrt{3} \cdot 220 \cdot \cos (70)}{3.1416}

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Average Armature Voltage of Three Phase Full-Converter Drives Solution

Follow our step by step solution on how to calculate Average Armature Voltage of Three Phase Full-Converter Drives?

FIRST Step Consider the formula

V a(full_3p) = \frac{3 \cdot \sqrt{3} \cdot V m \cdot \cos (α)}{π}

Next Step Substitute values of Variables

∴

V a(full_3p) = \frac{3 \cdot \sqrt{3} \cdot 220V \cdot \cos (70°)}{π}

Next Step Substitute values of Constants

∴

V a(full_3p) = \frac{3 \cdot \sqrt{3} \cdot 220V \cdot \cos (70°)}{3.1416}

Next Step Convert Units

∴

V a(full_3p) = \frac{3 \cdot \sqrt{3} \cdot 220V \cdot \cos (1.2217rad)}{3.1416}

Next Step Prepare to Evaluate

∴

V a(full_3p) = \frac{3 \cdot \sqrt{3} \cdot 220 \cdot \cos (1.2217)}{3.1416}

Next Step Evaluate

∴

V a(full_3p) = 124.45328796903V

LAST Step Rounding Answer

∴

V a(full_3p) = 124.4533V

Average Armature Voltage of Three Phase Full-Converter Drives Formula Elements

Variables

Constants

Functions

Full Drive Armature Voltage in Three Phase

Full Drive Armature Voltage in Three Phase is the average voltage developed at the terminals of the armature of the DC full converter drive.

Symbol: V_{a(full_3p)}

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Full Drive Armature Voltage in Three Phase

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)

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.

Syntax: sqrt(Number)

Other formulas in Three Phase Drives category

Go Average Field Voltage of Three Phase Semi-Converter Drive

V f(semi_3p) = \frac{3 \cdot V m \cdot (1 + \cos (α))}{2 \cdot π}

Go Maximum Torque in Induction Motor Drives

ζ max = (\frac{3}{2 \cdot ω s}) \cdot \frac{{V 1}^{2}}{r 1 + \sqrt{{r 1}^{2} + {(x 1 + x 2)}^{2}}}

Go Air Gap Power in Three Phase Induction Motor Drives

P g = 3 \cdot {I 2}^{2} \cdot (\frac{r 2}{s})

Go Armature Terminal Voltage in Half-Wave Converter Drives

V o = (\frac{3 \cdot V ml}{2 \cdot π}) \cdot \cos (α)

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

Average Armature Voltage of Three Phase Full-Converter Drives evaluator uses Full Drive Armature Voltage in Three Phase = (3*sqrt(3)*Peak Input Voltage*cos(Delay Angle of Thyristor))/pi to evaluate 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 evaluate Average Armature Voltage of Three Phase Full-Converter Drives using this online evaluator? To use this online evaluator 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.

FAQs on Average Armature Voltage of Three Phase Full-Converter Drives

What is the formula to find Average Armature Voltage of Three Phase Full-Converter Drives?

The formula of Average Armature Voltage of Three Phase Full-Converter Drives is expressed as Full Drive Armature Voltage in Three Phase = (3*sqrt(3)*Peak Input Voltage*cos(Delay Angle of Thyristor))/pi. Here is an example- 124.4533 = (3*sqrt(3)*220*cos(1.2217304763958))/pi.

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

With Peak Input Voltage (V_m) & Delay Angle of Thyristor (α) we can find Average Armature Voltage of Three Phase Full-Converter Drives using the formula - Full Drive Armature Voltage in Three Phase = (3*sqrt(3)*Peak Input Voltage*cos(Delay Angle of Thyristor))/pi. This formula also uses Archimedes' constant and , Cosine (cos), Square Root (sqrt) function(s).

Can the Average Armature Voltage of Three Phase Full-Converter Drives be negative?

Yes, the Average Armature Voltage of Three Phase Full-Converter Drives, measured in Electric Potential can be negative.

Which unit is used to measure Average Armature Voltage of Three Phase Full-Converter Drives?

Average Armature Voltage of Three Phase Full-Converter Drives 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 Three Phase Full-Converter Drives can be measured.

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