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RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load Formula

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RMS Output Voltage 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(semi) = (\frac{V m(semi)}{2^{0.5}}) \cdot {(\frac{180 - α (semi)}{180} + (\frac{0.5}{π}) \cdot \sin (2 \cdot α (semi)))}^{0.5}

V_rms(semi) - RMS Output Voltage Semi Converter?V_m(semi) - Maximum Input Voltage Semi Converter?α_(semi) - Delay Angle Semi Converter?π - Archimedes' constant?

RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load Example

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Here is how the RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load equation looks like with Values.

Here is how the RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load equation looks like with Units.

Here is how the RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load equation looks like.

16.8711 = (\frac{22.8}{2^{0.5}}) \cdot {(\frac{180 - 70.1}{180} + (\frac{0.5}{3.1416}) \cdot \sin (2 \cdot 70.1))}^{0.5}

16.8711V = (\frac{22.8V}{2^{0.5}}) \cdot {(\frac{180 - 70.1°}{180} + (\frac{0.5}{3.1416}) \cdot \sin (2 \cdot 70.1°))}^{0.5}

16.8711 = (\frac{22.8}{2^{0.5}}) \cdot {(\frac{180 - 70.1}{180} + (\frac{0.5}{3.1416}) \cdot \sin (2 \cdot 70.1))}^{0.5}

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RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load Solution

Follow our step by step solution on how to calculate RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load?

FIRST Step Consider the formula

V rms(semi) = (\frac{V m(semi)}{2^{0.5}}) \cdot {(\frac{180 - α (semi)}{180} + (\frac{0.5}{π}) \cdot \sin (2 \cdot α (semi)))}^{0.5}

Next Step Substitute values of Variables

∴

V rms(semi) = (\frac{22.8V}{2^{0.5}}) \cdot {(\frac{180 - 70.1°}{180} + (\frac{0.5}{π}) \cdot \sin (2 \cdot 70.1°))}^{0.5}

Next Step Substitute values of Constants

∴

V rms(semi) = (\frac{22.8V}{2^{0.5}}) \cdot {(\frac{180 - 70.1°}{180} + (\frac{0.5}{3.1416}) \cdot \sin (2 \cdot 70.1°))}^{0.5}

Next Step Convert Units

∴

V rms(semi) = (\frac{22.8V}{2^{0.5}}) \cdot {(\frac{180 - 1.2235rad}{180} + (\frac{0.5}{3.1416}) \cdot \sin (2 \cdot 1.2235rad))}^{0.5}

Next Step Prepare to Evaluate

∴

V rms(semi) = (\frac{22.8}{2^{0.5}}) \cdot {(\frac{180 - 1.2235}{180} + (\frac{0.5}{3.1416}) \cdot \sin (2 \cdot 1.2235))}^{0.5}

Next Step Evaluate

∴

V rms(semi) = 16.871072068286V

LAST Step Rounding Answer

∴

V rms(semi) = 16.8711V

RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load Formula Elements

Variables

Constants

Functions

RMS Output Voltage Semi Converter

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

Symbol: V_rms(semi)

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find RMS Output Voltage Semi Converter

Maximum Input Voltage Semi Converter

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

Symbol: V_m(semi)

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Maximum Input Voltage Semi Converter

Delay Angle Semi Converter

Delay Angle Semi Converter refers to the angle at which the thyristor is triggered to start conducting current in semi converter based circuit.

Symbol: α_(semi)

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Delay Angle 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)

Other formulas in Single 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 of Single Phase Semi-Converter with Highly Inductive Load?

RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load evaluator uses RMS Output Voltage Semi Converter = (Maximum Input Voltage Semi Converter/(2^0.5))*((180-Delay Angle Semi Converter)/180+(0.5/pi)*sin(2*Delay Angle Semi Converter))^0.5 to evaluate the RMS Output Voltage Semi Converter, The RMS output voltage of single phase semi-converter with highly inductive load formula is the root mean square value of the average output voltage of the converter. RMS Output Voltage Semi Converter is denoted by V_rms(semi) symbol.

How to evaluate RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load using this online evaluator? To use this online evaluator for RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load, enter Maximum Input Voltage Semi Converter (V_m(semi)) & Delay Angle Semi Converter (α_(semi)) and hit the calculate button.

FAQs on RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load

What is the formula to find RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load?

The formula of RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load is expressed as RMS Output Voltage Semi Converter = (Maximum Input Voltage Semi Converter/(2^0.5))*((180-Delay Angle Semi Converter)/180+(0.5/pi)*sin(2*Delay Angle Semi Converter))^0.5. Here is an example- 16.79708 = (22.8/(2^0.5))*((180-1.22347580564779)/180+(0.5/pi)*sin(2*1.22347580564779))^0.5.

How to calculate RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load?

With Maximum Input Voltage Semi Converter (V_m(semi)) & Delay Angle Semi Converter (α_(semi)) we can find RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load using the formula - RMS Output Voltage Semi Converter = (Maximum Input Voltage Semi Converter/(2^0.5))*((180-Delay Angle Semi Converter)/180+(0.5/pi)*sin(2*Delay Angle Semi Converter))^0.5. This formula also uses Archimedes' constant and Sine (sin) function(s).

Can the RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load be negative?

Yes, the RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load, measured in Electric Potential can be negative.

Which unit is used to measure RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load?

RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load 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 Single Phase Semi-Converter with Highly Inductive Load can be measured.

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