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RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load Formula

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RMS Voltage Thyristor Converter is defined as the root mean square value of the voltage in a thyristor converter based circuit. Check FAQs

V rms(thy) = (\frac{V in(thy)}{2}) \cdot {(\frac{180 - α d(thy)}{180} + (\frac{0.5}{π}) \cdot \sin (2 \cdot α d(thy)))}^{0.5}

V_rms(thy) - RMS Voltage Thyristor Converter?V_in(thy) - Peak Input Voltage Thyristor Converter?α_d(thy) - Delay Angle of Thyristor Converter?π - Archimedes' constant?

RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load Example

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Here is how the RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load equation looks like with Values.

Here is how the RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load equation looks like with Units.

Here is how the RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load equation looks like.

6.2775 = (\frac{12}{2}) \cdot {(\frac{180 - 70.2}{180} + (\frac{0.5}{3.1416}) \cdot \sin (2 \cdot 70.2))}^{0.5}

6.2775V = (\frac{12V}{2}) \cdot {(\frac{180 - 70.2°}{180} + (\frac{0.5}{3.1416}) \cdot \sin (2 \cdot 70.2°))}^{0.5}

6.2775 = (\frac{12}{2}) \cdot {(\frac{180 - 70.2}{180} + (\frac{0.5}{3.1416}) \cdot \sin (2 \cdot 70.2))}^{0.5}

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RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load Solution

Follow our step by step solution on how to calculate RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load?

FIRST Step Consider the formula

V rms(thy) = (\frac{V in(thy)}{2}) \cdot {(\frac{180 - α d(thy)}{180} + (\frac{0.5}{π}) \cdot \sin (2 \cdot α d(thy)))}^{0.5}

Next Step Substitute values of Variables

∴

V rms(thy) = (\frac{12V}{2}) \cdot {(\frac{180 - 70.2°}{180} + (\frac{0.5}{π}) \cdot \sin (2 \cdot 70.2°))}^{0.5}

Next Step Substitute values of Constants

∴

V rms(thy) = (\frac{12V}{2}) \cdot {(\frac{180 - 70.2°}{180} + (\frac{0.5}{3.1416}) \cdot \sin (2 \cdot 70.2°))}^{0.5}

Next Step Convert Units

∴

V rms(thy) = (\frac{12V}{2}) \cdot {(\frac{180 - 1.2252rad}{180} + (\frac{0.5}{3.1416}) \cdot \sin (2 \cdot 1.2252rad))}^{0.5}

Next Step Prepare to Evaluate

∴

V rms(thy) = (\frac{12}{2}) \cdot {(\frac{180 - 1.2252}{180} + (\frac{0.5}{3.1416}) \cdot \sin (2 \cdot 1.2252))}^{0.5}

Next Step Evaluate

∴

V rms(thy) = 6.27750955477736V

LAST Step Rounding Answer

∴

V rms(thy) = 6.2775V

RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load Formula Elements

Variables

Constants

Functions

RMS Voltage Thyristor Converter

RMS Voltage Thyristor Converter is defined as the root mean square value of the voltage in a thyristor converter based circuit.

Symbol: V_rms(thy)

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find RMS Voltage Thyristor Converter

Peak Input Voltage Thyristor Converter

Peak Input Voltage Thyristor Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a thyristor based converter circuit.

Symbol: V_in(thy)

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Peak Input Voltage Thyristor Converter

Delay Angle of Thyristor Converter

Delay Angle of Thyristor Converter refers to the angle at which the thyristor is triggered to start conducting current in an AC (alternating current) circuit.

Symbol: α_d(thy)

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Delay Angle of Thyristor 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 Thyristor 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 Thyristor Converter with Resistive Load?

RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load evaluator uses RMS Voltage Thyristor Converter = (Peak Input Voltage Thyristor Converter/2)*((180-Delay Angle of Thyristor Converter)/180+(0.5/pi)*sin(2*Delay Angle of Thyristor Converter))^0.5 to evaluate the RMS Voltage Thyristor Converter, The RMS output voltage of single phase thyristor converter with resistive load formula is the root mean square value of the average output voltage of the converter. RMS Voltage Thyristor Converter is denoted by V_rms(thy) symbol.

How to evaluate RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load using this online evaluator? To use this online evaluator for RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load, enter Peak Input Voltage Thyristor Converter (V_in(thy)) & Delay Angle of Thyristor Converter (α_d(thy)) and hit the calculate button.

FAQs on RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load

What is the formula to find RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load?

The formula of RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load is expressed as RMS Voltage Thyristor Converter = (Peak Input Voltage Thyristor Converter/2)*((180-Delay Angle of Thyristor Converter)/180+(0.5/pi)*sin(2*Delay Angle of Thyristor Converter))^0.5. Here is an example- 6.280012 = (12/2)*((180-1.22522113489979)/180+(0.5/pi)*sin(2*1.22522113489979))^0.5.

How to calculate RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load?

With Peak Input Voltage Thyristor Converter (V_in(thy)) & Delay Angle of Thyristor Converter (α_d(thy)) we can find RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load using the formula - RMS Voltage Thyristor Converter = (Peak Input Voltage Thyristor Converter/2)*((180-Delay Angle of Thyristor Converter)/180+(0.5/pi)*sin(2*Delay Angle of Thyristor Converter))^0.5. This formula also uses Archimedes' constant and Sine function(s).

Can the RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load be negative?

Yes, the RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load, measured in Electric Potential can be negative.

Which unit is used to measure RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load?

RMS Output Voltage of Single Phase Thyristor Converter with Resistive 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 Thyristor Converter with Resistive Load can be measured.

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