DC Output Voltage for First Converter Solution

STEP 0: Pre-Calculation Summary
Formula Used
DC Output Voltage First Converter = (2*Peak Input Voltage Dual Converter*(cos(Delay Angle of First Converter)))/pi
Vout(first) = (2*Vin(dual)*(cos(α1(dual))))/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
DC Output Voltage First Converter - (Measured in Volt) - DC Output Voltage FIrst Converter is defined as the dc output at the first of two converters.
Peak Input Voltage Dual Converter - (Measured in Volt) - Peak Input Voltage Dual Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a dual converter circuit.
Delay Angle of First Converter - (Measured in Radian) - Delay angle of first converter here refers to the delay angle of thyristors of the first converter in the dual converter.
STEP 1: Convert Input(s) to Base Unit
Peak Input Voltage Dual Converter: 125 Volt --> 125 Volt No Conversion Required
Delay Angle of First Converter: 22 Degree --> 0.38397243543868 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vout(first) = (2*Vin(dual)*(cos(α1(dual))))/pi --> (2*125*(cos(0.38397243543868)))/pi
Evaluating ... ...
Vout(first) = 73.7829468046528
STEP 3: Convert Result to Output's Unit
73.7829468046528 Volt --> No Conversion Required
FINAL ANSWER
73.7829468046528 73.78295 Volt <-- DC Output Voltage First Converter
(Calculation completed in 00.004 seconds)

Credits

Created by Devyaani Garg
Shiv Nadar University (SNU), Greater Noida
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Verified by Nikita Suryawanshi
Vellore Institute of Technology (VIT), Vellore
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4 Single Phase Dual Converters Calculators

Instantaneous Circulating Current
Go Instantaneous Circulating Current Dual Converter = (2*Peak Input Voltage Dual Converter*(cos(Angular Frequency*Time)-cos(Delay Angle of First Converter)))/(Angular Frequency*Circulating Current Reactor)
Circulating Current across Reactor under Dual Converter
Go Circulating Current = (1/(Angular Frequency*Circulating Current Reactor))*int(Instantaneous voltage Across Reactor,x,(Delay Angle of First Converter+(pi/6)),(Angular Frequency*Time))
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

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))

DC Output Voltage for First Converter Formula

DC Output Voltage First Converter = (2*Peak Input Voltage Dual Converter*(cos(Delay Angle of First Converter)))/pi
Vout(first) = (2*Vin(dual)*(cos(α1(dual))))/pi

What are the applications of a dual converter?

Dual converters are used in the direction and speed control of DC motors. These are normally used in high power speed drives.

How to Calculate DC Output Voltage for First Converter?

DC Output Voltage for First Converter calculator uses DC Output Voltage First Converter = (2*Peak Input Voltage Dual Converter*(cos(Delay Angle of First Converter)))/pi to calculate the DC Output Voltage First Converter, The DC output voltage for first converter is the average DC output voltage of the first converter in a single phase dual converter. It is directly proportional to the peak input voltage. DC Output Voltage First Converter is denoted by Vout(first) symbol.

How to calculate DC Output Voltage for First Converter using this online calculator? To use this online calculator for DC Output Voltage for First Converter, enter Peak Input Voltage Dual Converter (Vin(dual)) & Delay Angle of First Converter 1(dual)) and hit the calculate button. Here is how the DC Output Voltage for First Converter calculation can be explained with given input values -> 73.78295 = (2*125*(cos(0.38397243543868)))/pi.

FAQ

What is DC Output Voltage for First Converter?
The DC output voltage for first converter is the average DC output voltage of the first converter in a single phase dual converter. It is directly proportional to the peak input voltage and is represented as Vout(first) = (2*Vin(dual)*(cos(α1(dual))))/pi or DC Output Voltage First Converter = (2*Peak Input Voltage Dual Converter*(cos(Delay Angle of First Converter)))/pi. Peak Input Voltage Dual Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a dual converter circuit & Delay angle of first converter here refers to the delay angle of thyristors of the first converter in the dual converter.
How to calculate DC Output Voltage for First Converter?
The DC output voltage for first converter is the average DC output voltage of the first converter in a single phase dual converter. It is directly proportional to the peak input voltage is calculated using DC Output Voltage First Converter = (2*Peak Input Voltage Dual Converter*(cos(Delay Angle of First Converter)))/pi. To calculate DC Output Voltage for First Converter, you need Peak Input Voltage Dual Converter (Vin(dual)) & Delay Angle of First Converter 1(dual)). With our tool, you need to enter the respective value for Peak Input Voltage Dual Converter & Delay Angle of First 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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