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Average Output Voltage for Three-Phase Converter Formula

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Average Voltage 3 Phase Full Converter is defined as the average of voltage over one complete cycle in a full converter circuit. Check FAQs

V avg(3Φ-full) = \frac{2 \cdot V m(3Φ-full) \cdot \cos (\frac{α d(3Φ-full)}{2})}{π}

V_{avg(3Φ-full)} - Average Voltage 3 Phase Full Converter?V_m(3Φ-full) - Peak Phase Voltage Full Converter?α_d(3Φ-full) - Delay Angle of 3 Phase Full Converter?π - Archimedes' constant?

Average Output Voltage for Three-Phase Converter Example

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Here is how the Average Output Voltage for Three-Phase Converter equation looks like with Values.

Here is how the Average Output Voltage for Three-Phase Converter equation looks like with Units.

Here is how the Average Output Voltage for Three-Phase Converter equation looks like.

115.2489 = \frac{2 \cdot 221 \cdot \cos (\frac{70}{2})}{3.1416}

115.2489V = \frac{2 \cdot 221V \cdot \cos (\frac{70°}{2})}{3.1416}

115.2489 = \frac{2 \cdot 221 \cdot \cos (\frac{70}{2})}{3.1416}

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Average Output Voltage for Three-Phase Converter Solution

Follow our step by step solution on how to calculate Average Output Voltage for Three-Phase Converter?

FIRST Step Consider the formula

V avg(3Φ-full) = \frac{2 \cdot V m(3Φ-full) \cdot \cos (\frac{α d(3Φ-full)}{2})}{π}

Next Step Substitute values of Variables

∴

V avg(3Φ-full) = \frac{2 \cdot 221V \cdot \cos (\frac{70°}{2})}{π}

Next Step Substitute values of Constants

∴

V avg(3Φ-full) = \frac{2 \cdot 221V \cdot \cos (\frac{70°}{2})}{3.1416}

Next Step Convert Units

∴

V avg(3Φ-full) = \frac{2 \cdot 221V \cdot \cos (\frac{1.2217rad}{2})}{3.1416}

Next Step Prepare to Evaluate

∴

V avg(3Φ-full) = \frac{2 \cdot 221 \cdot \cos (\frac{1.2217}{2})}{3.1416}

Next Step Evaluate

∴

V avg(3Φ-full) = 115.248933741312V

LAST Step Rounding Answer

∴

V avg(3Φ-full) = 115.2489V

Average Output Voltage for Three-Phase Converter Formula Elements

Variables

Constants

Functions

Average Voltage 3 Phase Full Converter

Average Voltage 3 Phase Full Converter is defined as the average of voltage over one complete cycle in a full converter circuit.

Symbol: V_{avg(3Φ-full)}

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Average Voltage 3 Phase Full Converter

Peak Phase Voltage Full Converter

Peak Phase Voltage Full Converter refers to the maximum instantaneous voltage of each phase of the AC supply.

Symbol: V_m(3Φ-full)

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Peak Phase Voltage Full Converter

Delay Angle of 3 Phase Full Converter

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.

Symbol: α_d(3Φ-full)

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Delay Angle of 3 Phase Full Converter

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 Three Phase Full Converter category

Go DC Output Voltage for First Converter

V out(first) = \frac{2 \cdot V in(dual) \cdot (\cos (α 1(dual)))}{π}

Go DC Output Voltage of Second Converter

V out(second) = \frac{2 \cdot V in(dual) \cdot (\cos (α 2(dual)))}{π}

Go Average DC Output Voltage of Single Phase Full Converter

V avg-dc(full) = \frac{2 \cdot V m-dc(full) \cdot \cos (α full)}{π}

Go RMS Output Voltage of Single Phase Full Converter

V rms(full) = \frac{V m(full)}{\sqrt{2}}

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

Average Output Voltage for Three-Phase Converter evaluator uses Average Voltage 3 Phase Full Converter = (2*Peak Phase Voltage Full Converter*cos(Delay Angle of 3 Phase Full Converter/2))/pi to evaluate 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 evaluate Average Output Voltage for Three-Phase Converter using this online evaluator? To use this online evaluator 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.

FAQs on Average Output Voltage for Three-Phase Converter

What is the formula to find Average Output Voltage for Three-Phase Converter?

The formula of Average Output Voltage for Three-Phase Converter is expressed as Average Voltage 3 Phase Full Converter = (2*Peak Phase Voltage Full Converter*cos(Delay Angle of 3 Phase Full Converter/2))/pi. Here is an example- 115.2489 = (2*221*cos(1.2217304763958/2))/pi.

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

With Peak Phase Voltage Full Converter (V_m(3Φ-full)) & Delay Angle of 3 Phase Full Converter (α_d(3Φ-full)) we can find Average Output Voltage for Three-Phase Converter using the formula - Average Voltage 3 Phase Full Converter = (2*Peak Phase Voltage Full Converter*cos(Delay Angle of 3 Phase Full Converter/2))/pi. This formula also uses Archimedes' constant and Cosine (cos) function(s).

Can the Average Output Voltage for Three-Phase Converter be negative?

Yes, the Average Output Voltage for Three-Phase Converter, measured in Electric Potential can be negative.

Which unit is used to measure Average Output Voltage for Three-Phase Converter?

Average Output Voltage for Three-Phase Converter is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Average Output Voltage for Three-Phase Converter can be measured.

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