Average Output Voltage for Three-Phase Converter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Voltage 3 Phase Full Converter = (2*Peak Phase Voltage Full Converter*cos(Delay Angle of 3 Phase Full Converter/2))/pi
Vavg(3Φ-full) = (2*Vm(3Φ-full)*cos(αd(3Φ-full)/2))/pi
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 3 Phase Full Converter - (Measured in Volt) - Average Voltage 3 Phase Full Converter is defined as the average of voltage over one complete cycle in a full converter circuit.
Peak Phase Voltage Full Converter - (Measured in Volt) - Peak Phase Voltage Full Converter refers to the maximum instantaneous voltage of each phase of the AC supply.
Delay Angle of 3 Phase Full Converter - (Measured in Radian) - Delay Angle of 3 Phase Full Converter refers to the angle at which the thyristor is triggered to start conducting current in a 3 phase AC (alternating current) circuit.
STEP 1: Convert Input(s) to Base Unit
Peak Phase Voltage Full Converter: 221 Volt --> 221 Volt No Conversion Required
Delay Angle of 3 Phase Full Converter: 70 Degree --> 1.2217304763958 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vavg(3Φ-full) = (2*Vm(3Φ-full)*cos(αd(3Φ-full)/2))/pi --> (2*221*cos(1.2217304763958/2))/pi
Evaluating ... ...
Vavg(3Φ-full) = 115.248933741312
STEP 3: Convert Result to Output's Unit
115.248933741312 Volt --> No Conversion Required
FINAL ANSWER
115.248933741312 115.2489 Volt <-- Average Voltage 3 Phase Full Converter
(Calculation completed in 00.004 seconds)

Credits

Created by Devyaani Garg
Shiv Nadar University (SNU), Greater Noida
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Birsa Institute of Technology (BIT), Sindri
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5 Three Phase Full Converter Calculators

RMS Output Voltage for Phase Controller
Go RMS Output Voltage Full Converter = sqrt(((Peak Voltage)^2/pi)*int((sin(x))^2,x,(60+Firing Angle of Thyristor Converter),(120+Firing Angle of Thyristor Converter)))
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 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
Peak Average Output Voltage of Three-Phase Full Converters
Go Peak Output Voltage 3 Phase Full Converter = (5.2*Peak Input Voltage 3 Phase Full Converter)/pi
Normalized Average Output Voltage in Three-Phase Full-Converter
Go Normalized Output Voltage 3 Phase Full Converter = (cos(Delay Angle of 3 Phase Full Converter))

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 for Three-Phase Converter Formula

Average Voltage 3 Phase Full Converter = (2*Peak Phase Voltage Full Converter*cos(Delay Angle of 3 Phase Full Converter/2))/pi
Vavg(3Φ-full) = (2*Vm(3Φ-full)*cos(αd(3Φ-full)/2))/pi

What are three phase full converters? What are their applications?

three phase full converter is a fully controlled bridge controlled rectifier using six thyristors connected in the form of a full wave bridge configuration. All the six thyristors are controlled switches which are turned on at a appropriate times by applying suitable gate trigger signals. These are extensively used in industrial applications up to the 120 kW level.

How to Calculate Average Output Voltage for Three-Phase Converter?

Average Output Voltage for Three-Phase Converter calculator uses Average Voltage 3 Phase Full Converter = (2*Peak Phase Voltage Full Converter*cos(Delay Angle of 3 Phase Full Converter/2))/pi to calculate the Average Voltage 3 Phase Full Converter, The Average output voltage for three-phase converter formula is the average dc value of the output voltage. It is directly proportional to the peak input voltage of the converter. Average Voltage 3 Phase Full Converter is denoted by Vavg(3Φ-full) symbol.

How to calculate Average Output Voltage for Three-Phase Converter using this online calculator? To use this online calculator for Average Output Voltage for Three-Phase Converter, enter Peak Phase Voltage Full Converter (Vm(3Φ-full)) & Delay Angle of 3 Phase Full Converter d(3Φ-full)) and hit the calculate button. Here is how the Average Output Voltage for Three-Phase Converter calculation can be explained with given input values -> 115.2489 = (2*221*cos(1.2217304763958/2))/pi.

FAQ

What is Average Output Voltage for Three-Phase Converter?
The Average output voltage for three-phase converter formula is the average dc value of the output voltage. It is directly proportional to the peak input voltage of the converter and is represented as Vavg(3Φ-full) = (2*Vm(3Φ-full)*cos(αd(3Φ-full)/2))/pi or Average Voltage 3 Phase Full Converter = (2*Peak Phase Voltage Full Converter*cos(Delay Angle of 3 Phase Full Converter/2))/pi. Peak Phase Voltage Full Converter refers to the maximum instantaneous voltage of each phase of the AC supply & Delay Angle of 3 Phase Full Converter refers to the angle at which the thyristor is triggered to start conducting current in a 3 phase AC (alternating current) circuit.
How to calculate Average Output Voltage for Three-Phase Converter?
The Average output voltage for three-phase converter formula is the average dc value of the output voltage. It is directly proportional to the peak input voltage of the converter is calculated using Average Voltage 3 Phase Full Converter = (2*Peak Phase Voltage Full Converter*cos(Delay Angle of 3 Phase Full Converter/2))/pi. To calculate Average Output Voltage for Three-Phase Converter, you need Peak Phase Voltage Full Converter (Vm(3Φ-full)) & Delay Angle of 3 Phase Full Converter d(3Φ-full)). With our tool, you need to enter the respective value for Peak Phase Voltage Full Converter & Delay Angle of 3 Phase Full 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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