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

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RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load

Formula

`"V"_{"rms(thy)"} = ("V"_{"in(thy)"}/2)*((180-"α"_{"d(thy)"})/180+(0.5/pi)*sin(2*"α"_{"d(thy)"}))^0.5`

Example

`"6.27751V"=("12V"/2)*((180-"70.2°")/180+(0.5/pi)*sin(2*"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 00.004 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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< 5 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 Load Voltage for Calculus Function

Go Average Voltage Thyristor Converter = ((1/(2*pi))*int(Peak Input Voltage Thyristor Converter*sin(x),x,Firing Angle of Thyristor Converter,pi))

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

< 19 Power Converter Characteristics Calculators

RMS Harmonic Current for PWM Control

Go RMS nth Harmonic Current = ((sqrt(2)*Armature Current)/pi)*sum(x,1,Number of Pulse in Half-cycle of PWM,(cos(Harmonic Order*Excitation Angle))-(cos(Harmonic Order*Symmetrical Angle)))

Average Output Voltage for PWM Control

Go Average Output Voltage of PWM Controlled Converter = (Peak Input Voltage of PWM Converter/pi)*sum(x,1,Number of Pulse in Half-cycle of PWM,(cos(Excitation Angle)-cos(Symmetrical Angle)))

Fundamental Supply Current for PWM Control

Go Fundamental Supply Current = ((sqrt(2)*Armature Current)/pi)*sum(x,1,Number of Pulse in Half-cycle of PWM,(cos(Excitation Angle))-(cos(Symmetrical Angle)))

RMS Output Voltage for Three Phase Semi-Converter

Go RMS Output Voltage 3 Phase Semi Converter = sqrt(3)*Peak Input Voltage 3 Phase Semi Converter*((3/(4*pi))*(pi-Delay Angle of 3 Phase Semi Converter+((sin(2*Delay Angle of 3 Phase Semi Converter))/2))^0.5)

RMS Supply Current for PWM Control

Go Root Mean Square Current = Armature Current/sqrt(pi)*sqrt(sum(x,1,Number of Pulse in Half-cycle of PWM,(Symmetrical Angle-Excitation Angle)))

RMS Output Voltage for Resistive Load

Go RMS Output Voltage 3 Phase Half Converter = sqrt(3)*Peak Phase Voltage*(sqrt((1/6)+((sqrt(3)*cos(2*Delay Angle of 3 Phase Half Converter))/(8*pi))))

RMS Output Voltage for Continuous Load Current

Go RMS Output Voltage 3 Phase Half Converter = sqrt(3)*Peak Input Voltage 3 Phase Half Converter*((1/6)+(sqrt(3)*cos(2*Delay Angle of 3 Phase Half Converter))/(8*pi))^0.5

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

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

Go 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

Average Output Voltage for Continuous Load Current

Go Average Voltage 3 Phase Half Converter = (3*sqrt(3)*Peak Input Voltage 3 Phase Half Converter*(cos(Delay Angle of 3 Phase Half Converter)))/(2*pi)

RMS Output Voltage of Three-Phase Full Converter

Go 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)

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))

Average Output Voltage for Three-Phase Converter

Go Average Voltage 3 Phase Full Converter = (2*Peak Phase Voltage Full Converter*cos(Delay Angle of 3 Phase Full Converter/2))/pi

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

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

Go Average Voltage Semi Converter = (Maximum Input Voltage Semi Converter/pi)*(1+cos(Delay Angle Semi Converter))

Average Load Current of Three Phase Semi-Current

Go Load Current 3 Phase Semi Converter = Average Voltage 3 Phase Semi Converter/Resistance 3 Phase Semi Converter

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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