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
Vrms(thy) = (Vin(thy)/2)*((180-αd(thy))/180+(0.5/pi)*sin(2*αd(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
Vrms(thy) = (Vin(thy)/2)*((180-αd(thy))/180+(0.5/pi)*sin(2*αd(thy)))^0.5 --> (12/2)*((180-1.22522113489979)/180+(0.5/pi)*sin(2*1.22522113489979))^0.5
Evaluating ... ...
Vrms(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 00.007 seconds)

Credits

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Created by Devyaani Garg
Shiv Nadar University (SNU), Greater Noida
Devyaani Garg has created this Calculator and 50+ more calculators!
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Verified by Nikita Suryawanshi
Vellore Institute of Technology (VIT), Vellore
Nikita Suryawanshi has verified this Calculator and 25+ more calculators!

Single Phase Thyristor Converter Calculators

RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Peak Output Voltage Thyristor Converter = Peak Input Voltage Thyristor Converter/pi

Power Converter Characteristics Calculators

DC Output Voltage of Second Converter
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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

​LaTeX ​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
Vrms(thy) = (Vin(thy)/2)*((180-αd(thy))/180+(0.5/pi)*sin(2*αd(thy)))^0.5

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 Vrms(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 (Vin(thy)) & Delay Angle of Thyristor Converter 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 Vrms(thy) = (Vin(thy)/2)*((180-αd(thy))/180+(0.5/pi)*sin(2*αd(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 (Vin(thy)) & Delay Angle of Thyristor Converter 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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