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RMS Output Voltage for Three Phase Semi-Converter Formula

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RMS Output Voltage 3 Phase Semi Converter is defined as the root mean square value of the voltage at output terminal of a semi converter circuit. Check FAQs

V rms(3Φ-semi) = \sqrt{3} \cdot V in(3Φ-semi) \cdot ((\frac{3}{4 \cdot π}) \cdot {(π - α (3Φ-semi) + (\frac{\sin (2 \cdot α (3Φ-semi))}{2}))}^{0.5})

V_{rms(3Φ-semi)} - RMS Output Voltage 3 Phase Semi Converter?V_in(3Φ-semi) - Peak Input Voltage 3 Phase Semi Converter?α_(3Φ-semi) - Delay Angle of 3 Phase Semi Converter?π - Archimedes' constant?

RMS Output Voltage for Three Phase Semi-Converter Example

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

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

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

14.0231 = \sqrt{3} \cdot 22.7 \cdot ((\frac{3}{4 \cdot 3.1416}) \cdot {(3.1416 - 70.3 + (\frac{\sin (2 \cdot 70.3)}{2}))}^{0.5})

14.0231V = \sqrt{3} \cdot 22.7V \cdot ((\frac{3}{4 \cdot 3.1416}) \cdot {(3.1416 - 70.3° + (\frac{\sin (2 \cdot 70.3°)}{2}))}^{0.5})

14.0231 = \sqrt{3} \cdot 22.7 \cdot ((\frac{3}{4 \cdot 3.1416}) \cdot {(3.1416 - 70.3 + (\frac{\sin (2 \cdot 70.3)}{2}))}^{0.5})

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RMS Output Voltage for Three Phase Semi-Converter Solution

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

FIRST Step Consider the formula

V rms(3Φ-semi) = \sqrt{3} \cdot V in(3Φ-semi) \cdot ((\frac{3}{4 \cdot π}) \cdot {(π - α (3Φ-semi) + (\frac{\sin (2 \cdot α (3Φ-semi))}{2}))}^{0.5})

Next Step Substitute values of Variables

∴

V rms(3Φ-semi) = \sqrt{3} \cdot 22.7V \cdot ((\frac{3}{4 \cdot π}) \cdot {(π - 70.3° + (\frac{\sin (2 \cdot 70.3°)}{2}))}^{0.5})

Next Step Substitute values of Constants

∴

V rms(3Φ-semi) = \sqrt{3} \cdot 22.7V \cdot ((\frac{3}{4 \cdot 3.1416}) \cdot {(3.1416 - 70.3° + (\frac{\sin (2 \cdot 70.3°)}{2}))}^{0.5})

Next Step Convert Units

∴

V rms(3Φ-semi) = \sqrt{3} \cdot 22.7V \cdot ((\frac{3}{4 \cdot 3.1416}) \cdot {(3.1416 - 1.227rad + (\frac{\sin (2 \cdot 1.227rad)}{2}))}^{0.5})

Next Step Prepare to Evaluate

∴

V rms(3Φ-semi) = \sqrt{3} \cdot 22.7 \cdot ((\frac{3}{4 \cdot 3.1416}) \cdot {(3.1416 - 1.227 + (\frac{\sin (2 \cdot 1.227)}{2}))}^{0.5})

Next Step Evaluate

∴

V rms(3Φ-semi) = 14.023103459576V

LAST Step Rounding Answer

∴

V rms(3Φ-semi) = 14.0231V

RMS Output Voltage for Three Phase Semi-Converter Formula Elements

Variables

Constants

Functions

RMS Output Voltage 3 Phase Semi Converter

RMS Output Voltage 3 Phase Semi Converter is defined as the root mean square value of the voltage at output terminal of a semi converter circuit.

Symbol: V_{rms(3Φ-semi)}

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find RMS Output Voltage 3 Phase Semi Converter

Peak Input Voltage 3 Phase Semi Converter

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

Symbol: V_in(3Φ-semi)

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Peak Input Voltage 3 Phase Semi Converter

Delay Angle of 3 Phase Semi Converter

Delay Angle of 3 Phase Semi 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_(3Φ-semi)

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Delay Angle of 3 Phase Semi 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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(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 Semi 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 RMS Output Voltage for Three Phase Semi-Converter?

RMS Output Voltage for Three Phase Semi-Converter evaluator uses RMS Output Voltage 3 Phase Semi Converter = sqrt(3)*Peak Input Voltage 3 Phase Semi Converter*((3/(4*pi))*(pi-Delay Angle of 3 Phase Semi Converter+((sin(2*Delay Angle of 3 Phase Semi Converter))/2))^0.5) to evaluate the RMS Output Voltage 3 Phase Semi Converter, The RMS output voltage for three phase semi-converter formula is the root mean square value of the average output voltage of the converter. RMS Output Voltage 3 Phase Semi Converter is denoted by V_{rms(3Φ-semi)} symbol.

How to evaluate RMS Output Voltage for Three Phase Semi-Converter using this online evaluator? To use this online evaluator for RMS Output Voltage for Three Phase Semi-Converter, enter Peak Input Voltage 3 Phase Semi Converter (V_in(3Φ-semi)) & Delay Angle of 3 Phase Semi Converter (α_(3Φ-semi)) and hit the calculate button.

FAQs on RMS Output Voltage for Three Phase Semi-Converter

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

The formula of RMS Output Voltage for Three Phase Semi-Converter is expressed as RMS Output Voltage 3 Phase Semi Converter = sqrt(3)*Peak Input Voltage 3 Phase Semi Converter*((3/(4*pi))*(pi-Delay Angle of 3 Phase Semi Converter+((sin(2*Delay Angle of 3 Phase Semi Converter))/2))^0.5). Here is an example- 14.0231 = sqrt(3)*22.7*((3/(4*pi))*(pi-1.22696646415178+((sin(2*1.22696646415178))/2))^0.5).

How to calculate RMS Output Voltage for Three Phase Semi-Converter?

With Peak Input Voltage 3 Phase Semi Converter (V_in(3Φ-semi)) & Delay Angle of 3 Phase Semi Converter (α_(3Φ-semi)) we can find RMS Output Voltage for Three Phase Semi-Converter using the formula - RMS Output Voltage 3 Phase Semi Converter = sqrt(3)*Peak Input Voltage 3 Phase Semi Converter*((3/(4*pi))*(pi-Delay Angle of 3 Phase Semi Converter+((sin(2*Delay Angle of 3 Phase Semi Converter))/2))^0.5). This formula also uses Archimedes' constant and , Sine (sin), Square Root (sqrt) function(s).

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

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

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

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

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