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

✖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.ⓘ Peak Input Voltage Thyristor Converter [V_in(thy)]			+10% -10%
✖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.ⓘ Delay Angle of Thyristor Converter [α_d(thy)]			+10% -10%

✖RMS Voltage Thyristor Converter is defined as the root mean square value of the voltage in a thyristor converter based circuit.ⓘ RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load [V_rms(thy)]

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Formula

✖

RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load

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}

Example

6.27751 V = (\frac{12 V}{2}) \cdot {(\frac{180 - 70.2 °}{180} + (\frac{0.5}{π}) \cdot \sin (2 \cdot 70.2 °))}^{0.5}

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

STEP 0: Pre-Calculation Summary

Formula Used

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
V_rms(thy) = (V_in(thy)/2)*((180-α_d(thy))/180+(0.5/pi)*sin(2*α_d(thy)))^0.5
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sin(Angle)

Variables Used

RMS Voltage Thyristor Converter - (Measured in Volt) - RMS Voltage Thyristor Converter is defined as the root mean square value of the voltage in a thyristor converter based circuit.
Peak Input Voltage Thyristor Converter - (Measured in Volt) - 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.
Delay Angle of Thyristor Converter - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Peak Input Voltage Thyristor Converter: 12 Volt --> 12 Volt No Conversion Required
Delay Angle of Thyristor Converter: 70.2 Degree --> 1.22522113489979 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_rms(thy) = (V_in(thy)/2)*((180-α_d(thy))/180+(0.5/pi)*sin(2*α_d(thy)))^0.5 --> (12/2)*((180-1.22522113489979)/180+(0.5/pi)*sin(2*1.22522113489979))^0.5

Evaluating ... ...

V_rms(thy) = 6.27750955477736

STEP 3: Convert Result to Output's Unit

6.27750955477736 Volt --> No Conversion Required

FINAL ANSWER

6.27750955477736 ≈ 6.27751 Volt <-- RMS Voltage Thyristor Converter

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electrical » Power Electronics » Converters » Single Phase Thyristor Converter » RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load

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Created by Devyaani Garg

Shiv Nadar University (SNU), Greater Noida

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Vellore Institute of Technology (VIT), Vellore

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< Single Phase Thyristor Converter Calculators

RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load

Go 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

Average Output Voltage of Single Phase Thyristor Converter with Resistive Load

Go Average Voltage Thyristor Converter = (Peak Input Voltage Thyristor Converter/(2*pi))*(1+cos(Delay Angle of Thyristor Converter))

Normalized Voltage of Single Phase Thyristor Converter with Resistive Load

Go Normalized Output Voltage Thyristor Converter = 0.5*(1+cos(Delay Angle of Thyristor Converter))

Maximum Output Voltage of Single Phase Thyristor Converter with Resistive Load

Go Peak Output Voltage Thyristor Converter = Peak Input Voltage Thyristor Converter/pi

< Power Converter Characteristics Calculators

DC Output Voltage of Second Converter

Go DC Output Voltage Second Converter = (2*Peak Input Voltage Dual Converter*(cos(Delay Angle of Second Converter)))/pi

DC Output Voltage for First Converter

Go DC Output Voltage First Converter = (2*Peak Input Voltage Dual Converter*(cos(Delay Angle of First Converter)))/pi

Average DC Output Voltage of Single Phase Full Converter

Go Average Voltage Full Converter = (2*Maximum DC Output Voltage Full Converter*cos(Firing Angle Full Converter))/pi

RMS Output Voltage of Single Phase Full Converter

Go RMS Output Voltage Full Converter = Maximum Input Voltage Full Converter/(sqrt(2))

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

How do you find the angle of a delay?

The two converters are controlled in such a way that if α+ is the delay angle of the positive current converter, the delay angle of the negative current converter is α− = 180° – α+.

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

RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load calculator 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 calculate 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 calculate RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load using this online calculator? To use this online calculator 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. Here is how the RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load calculation can be explained with given input values -> 6.280012 = (12/2)*((180-1.22522113489979)/180+(0.5/pi)*sin(2*1.22522113489979))^0.5.

FAQ

What is RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load?

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 and is represented as V_rms(thy) = (V_in(thy)/2)*((180-α_d(thy))/180+(0.5/pi)*sin(2*α_d(thy)))^0.5 or 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. 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 & 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.

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

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 is calculated using 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 calculate RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load, you need Peak Input Voltage Thyristor Converter (V_in(thy)) & Delay Angle of Thyristor Converter (α_d(thy)). With our tool, you need to enter the respective value for Peak Input Voltage Thyristor Converter & Delay Angle of Thyristor Converter and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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