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RMS Output Voltage of Three-Phase Full Converter Formula

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

V rms(3Φ-full) = ({(6)}^{0.5}) \cdot V in(3Φ-full) \cdot ({(0.25 + 0.65 \cdot \frac{\cos (2 \cdot α d(3Φ-full))}{π})}^{0.5})

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

RMS Output Voltage of Three-Phase Full Converter Example

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

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

Here is how the RMS Output Voltage of Three-Phase Full Converter equation looks like.

163.0118 = ({(6)}^{0.5}) \cdot 220 \cdot ({(0.25 + 0.65 \cdot \frac{\cos (2 \cdot 70)}{3.1416})}^{0.5})

163.0118V = ({(6)}^{0.5}) \cdot 220V \cdot ({(0.25 + 0.65 \cdot \frac{\cos (2 \cdot 70°)}{3.1416})}^{0.5})

163.0118 = ({(6)}^{0.5}) \cdot 220 \cdot ({(0.25 + 0.65 \cdot \frac{\cos (2 \cdot 70)}{3.1416})}^{0.5})

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RMS Output Voltage of Three-Phase Full Converter Solution

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

FIRST Step Consider the formula

V rms(3Φ-full) = ({(6)}^{0.5}) \cdot V in(3Φ-full) \cdot ({(0.25 + 0.65 \cdot \frac{\cos (2 \cdot α d(3Φ-full))}{π})}^{0.5})

Next Step Substitute values of Variables

∴

V rms(3Φ-full) = ({(6)}^{0.5}) \cdot 220V \cdot ({(0.25 + 0.65 \cdot \frac{\cos (2 \cdot 70°)}{π})}^{0.5})

Next Step Substitute values of Constants

∴

V rms(3Φ-full) = ({(6)}^{0.5}) \cdot 220V \cdot ({(0.25 + 0.65 \cdot \frac{\cos (2 \cdot 70°)}{3.1416})}^{0.5})

Next Step Convert Units

∴

V rms(3Φ-full) = ({(6)}^{0.5}) \cdot 220V \cdot ({(0.25 + 0.65 \cdot \frac{\cos (2 \cdot 1.2217rad)}{3.1416})}^{0.5})

Next Step Prepare to Evaluate

∴

V rms(3Φ-full) = ({(6)}^{0.5}) \cdot 220 \cdot ({(0.25 + 0.65 \cdot \frac{\cos (2 \cdot 1.2217)}{3.1416})}^{0.5})

Next Step Evaluate

∴

V rms(3Φ-full) = 163.011816439861V

LAST Step Rounding Answer

∴

V rms(3Φ-full) = 163.0118V

RMS Output Voltage of Three-Phase Full Converter Formula Elements

Variables

Constants

Functions

RMS Output Voltage 3 Phase Full Converter

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

Symbol: V_{rms(3Φ-full)}

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find RMS Output Voltage 3 Phase Full Converter

Peak Input Voltage 3 Phase Full Converter

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

Symbol: V_in(3Φ-full)

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Peak Input Voltage 3 Phase 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 RMS Output Voltage of Three-Phase Full Converter?

RMS Output Voltage of Three-Phase Full Converter evaluator uses RMS Output Voltage 3 Phase Full Converter = ((6)^0.5)*Peak Input Voltage 3 Phase Full Converter*((0.25+0.65*(cos(2*Delay Angle of 3 Phase Full Converter))/pi)^0.5) to evaluate the RMS Output Voltage 3 Phase Full Converter, The RMS output voltage of three-phase full converter formula is the root mean square value of the average output voltage of the converter. RMS Output Voltage 3 Phase Full Converter is denoted by V_{rms(3Φ-full)} symbol.

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

FAQs on RMS Output Voltage of Three-Phase Full Converter

What is the formula to find RMS Output Voltage of Three-Phase Full Converter?

The formula of RMS Output Voltage of Three-Phase Full Converter is expressed as RMS Output Voltage 3 Phase Full Converter = ((6)^0.5)*Peak Input Voltage 3 Phase Full Converter*((0.25+0.65*(cos(2*Delay Angle of 3 Phase Full Converter))/pi)^0.5). Here is an example- 163.0118 = ((6)^0.5)*220*((0.25+0.65*(cos(2*1.2217304763958))/pi)^0.5).

How to calculate RMS Output Voltage of Three-Phase Full Converter?

With Peak Input Voltage 3 Phase Full Converter (V_in(3Φ-full)) & Delay Angle of 3 Phase Full Converter (α_d(3Φ-full)) we can find RMS Output Voltage of Three-Phase Full Converter using the formula - RMS Output Voltage 3 Phase Full Converter = ((6)^0.5)*Peak Input Voltage 3 Phase Full Converter*((0.25+0.65*(cos(2*Delay Angle of 3 Phase Full Converter))/pi)^0.5). This formula also uses Archimedes' constant and Cosine (cos) function(s).

Can the RMS Output Voltage of Three-Phase Full Converter be negative?

No, the RMS Output Voltage of Three-Phase Full Converter, measured in Electric Potential cannot be negative.

Which unit is used to measure RMS Output Voltage of Three-Phase Full Converter?

RMS Output Voltage of Three-Phase Full 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 of Three-Phase Full Converter can be measured.

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