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Average Output Voltage for Continuous Load Current Formula

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

V avg(3Φ-half) = \frac{3 \cdot \sqrt{3} \cdot V in(3Φ-half)i \cdot (\cos (α d(3Φ-half)))}{2 \cdot π}

V_{avg(3Φ-half)} - Average Voltage 3 Phase Half Converter?V_{in(3Φ-half)i} - Peak Input Voltage 3 Phase Half Converter?α_d(3Φ-half) - Delay Angle of 3 Phase Half Converter?π - Archimedes' constant?

Average Output Voltage for Continuous Load Current Example

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Here is how the Average Output Voltage for Continuous Load Current equation looks like with Values.

Here is how the Average Output Voltage for Continuous Load Current equation looks like with Units.

Here is how the Average Output Voltage for Continuous Load Current equation looks like.

38.9556 = \frac{3 \cdot \sqrt{3} \cdot 182 \cdot (\cos (75))}{2 \cdot 3.1416}

38.9556V = \frac{3 \cdot \sqrt{3} \cdot 182V \cdot (\cos (75°))}{2 \cdot 3.1416}

38.9556 = \frac{3 \cdot \sqrt{3} \cdot 182 \cdot (\cos (75))}{2 \cdot 3.1416}

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Average Output Voltage for Continuous Load Current Solution

Follow our step by step solution on how to calculate Average Output Voltage for Continuous Load Current?

FIRST Step Consider the formula

V avg(3Φ-half) = \frac{3 \cdot \sqrt{3} \cdot V in(3Φ-half)i \cdot (\cos (α d(3Φ-half)))}{2 \cdot π}

Next Step Substitute values of Variables

∴

V avg(3Φ-half) = \frac{3 \cdot \sqrt{3} \cdot 182V \cdot (\cos (75°))}{2 \cdot π}

Next Step Substitute values of Constants

∴

V avg(3Φ-half) = \frac{3 \cdot \sqrt{3} \cdot 182V \cdot (\cos (75°))}{2 \cdot 3.1416}

Next Step Convert Units

∴

V avg(3Φ-half) = \frac{3 \cdot \sqrt{3} \cdot 182V \cdot (\cos (1.309rad))}{2 \cdot 3.1416}

Next Step Prepare to Evaluate

∴

V avg(3Φ-half) = \frac{3 \cdot \sqrt{3} \cdot 182 \cdot (\cos (1.309))}{2 \cdot 3.1416}

Next Step Evaluate

∴

V avg(3Φ-half) = 38.9555761824213V

LAST Step Rounding Answer

∴

V avg(3Φ-half) = 38.9556V

Average Output Voltage for Continuous Load Current Formula Elements

Variables

Constants

Functions

Average Voltage 3 Phase Half Converter

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

Symbol: V_{avg(3Φ-half)}

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Average Voltage 3 Phase Half Converter

Peak Input Voltage 3 Phase Half Converter

Peak Input Voltage 3 Phase Half Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a half converter circuit.

Symbol: V_{in(3Φ-half)i}

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Peak Input Voltage 3 Phase Half Converter

Delay Angle of 3 Phase Half Converter

Delay Angle of 3 Phase Half 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-half)

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Delay Angle of 3 Phase Half 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)

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 Half Wave Converters 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 Continuous Load Current?

Average Output Voltage for Continuous Load Current evaluator uses Average Voltage 3 Phase Half Converter = (3*sqrt(3)*Peak Input Voltage 3 Phase Half Converter*(cos(Delay Angle of 3 Phase Half Converter)))/(2*pi) to evaluate the Average Voltage 3 Phase Half Converter, The Average output voltage for continuous load current 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 Half Converter is denoted by V_{avg(3Φ-half)} symbol.

How to evaluate Average Output Voltage for Continuous Load Current using this online evaluator? To use this online evaluator for Average Output Voltage for Continuous Load Current, enter Peak Input Voltage 3 Phase Half Converter (V_{in(3Φ-half)i}) & Delay Angle of 3 Phase Half Converter (α_d(3Φ-half)) and hit the calculate button.

FAQs on Average Output Voltage for Continuous Load Current

What is the formula to find Average Output Voltage for Continuous Load Current?

The formula of Average Output Voltage for Continuous Load Current is expressed as Average Voltage 3 Phase Half Converter = (3*sqrt(3)*Peak Input Voltage 3 Phase Half Converter*(cos(Delay Angle of 3 Phase Half Converter)))/(2*pi). Here is an example- 38.95558 = (3*sqrt(3)*182*(cos(1.3089969389955)))/(2*pi).

How to calculate Average Output Voltage for Continuous Load Current?

With Peak Input Voltage 3 Phase Half Converter (V_{in(3Φ-half)i}) & Delay Angle of 3 Phase Half Converter (α_d(3Φ-half)) we can find Average Output Voltage for Continuous Load Current using the formula - Average Voltage 3 Phase Half Converter = (3*sqrt(3)*Peak Input Voltage 3 Phase Half Converter*(cos(Delay Angle of 3 Phase Half Converter)))/(2*pi). This formula also uses Archimedes' constant and , Cosine (cos), Square Root (sqrt) function(s).

Can the Average Output Voltage for Continuous Load Current be negative?

Yes, the Average Output Voltage for Continuous Load Current, measured in Electric Potential can be negative.

Which unit is used to measure Average Output Voltage for Continuous Load Current?

Average Output Voltage for Continuous Load Current 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 Continuous Load Current can be measured.

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