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

STEP 0: Pre-Calculation Summary
Formula Used
Average Voltage Thyristor Converter = (Peak Input Voltage Thyristor Converter/(2*pi))*(1+cos(Delay Angle of Thyristor Converter))
Vavg(thy) = (Vin(thy)/(2*pi))*(1+cos(αd(thy)))
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Average Voltage Thyristor Converter - (Measured in Volt) - Average Voltage Thyristor Converter is defined as the average of voltage over one complete cycle in a thyristor based converter 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
Vavg(thy) = (Vin(thy)/(2*pi))*(1+cos(αd(thy))) --> (12/(2*pi))*(1+cos(1.22522113489979))
Evaluating ... ...
Vavg(thy) = 2.55680109013963
STEP 3: Convert Result to Output's Unit
2.55680109013963 Volt --> No Conversion Required
FINAL ANSWER
2.55680109013963 2.556801 Volt <-- Average Voltage Thyristor Converter
(Calculation completed in 00.020 seconds)

Credits

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))

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

Average Voltage Thyristor Converter = (Peak Input Voltage Thyristor Converter/(2*pi))*(1+cos(Delay Angle of Thyristor Converter))
Vavg(thy) = (Vin(thy)/(2*pi))*(1+cos(αd(thy)))

What is single phase thyristor converter?

Single-phase thyristor converter converts the AC voltage to a DC voltage at the output. This type of converter consists of a single forward-biased thyristor having a firing angle of α and a resistance at the load. A resistive load means the load current is constant.

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

Average Output Voltage of Single Phase Thyristor Converter with Resistive Load calculator uses Average Voltage Thyristor Converter = (Peak Input Voltage Thyristor Converter/(2*pi))*(1+cos(Delay Angle of Thyristor Converter)) to calculate the Average Voltage Thyristor Converter, The Average output voltage of single phase thyristor converter with resistive load is the average value of the dc output of the converter. It depends on the peak input voltage and the firing angle of the thyristor. Average Voltage Thyristor Converter is denoted by Vavg(thy) symbol.

How to calculate Average Output Voltage of Single Phase Thyristor Converter with Resistive Load using this online calculator? To use this online calculator for Average 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 Average Output Voltage of Single Phase Thyristor Converter with Resistive Load calculation can be explained with given input values -> 2.56307 = (12/(2*pi))*(1+cos(1.22522113489979)).

FAQ

What is Average Output Voltage of Single Phase Thyristor Converter with Resistive Load?
The Average output voltage of single phase thyristor converter with resistive load is the average value of the dc output of the converter. It depends on the peak input voltage and the firing angle of the thyristor and is represented as Vavg(thy) = (Vin(thy)/(2*pi))*(1+cos(αd(thy))) or Average Voltage Thyristor Converter = (Peak Input Voltage Thyristor Converter/(2*pi))*(1+cos(Delay Angle of 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 & 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 Average Output Voltage of Single Phase Thyristor Converter with Resistive Load?
The Average output voltage of single phase thyristor converter with resistive load is the average value of the dc output of the converter. It depends on the peak input voltage and the firing angle of the thyristor is calculated using Average Voltage Thyristor Converter = (Peak Input Voltage Thyristor Converter/(2*pi))*(1+cos(Delay Angle of Thyristor Converter)). To calculate Average 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.
How many ways are there to calculate Average Voltage Thyristor Converter?
In this formula, Average Voltage Thyristor Converter uses Peak Input Voltage Thyristor Converter & Delay Angle of Thyristor Converter. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Average Voltage Thyristor Converter = ((1/(2*pi))*int(Peak Input Voltage Thyristor Converter*sin(x),x,Firing Angle of Thyristor Converter,pi))
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