RMS Output Voltage for Three Phase Semi-Converter Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Vrms(3Φ-semi) = sqrt(3)*Vin(3Φ-semi)*((3/(4*pi))*(pi-α(3Φ-semi)+((sin(2*α(3Φ-semi)))/2))^0.5)
This formula uses 1 Constants, 2 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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
RMS Output Voltage 3 Phase Semi Converter - (Measured in Volt) - RMS Output Voltage 3 Phase Semi Converter is defined as the root mean square value of the voltage at output terminal of a semi converter circuit.
Peak Input Voltage 3 Phase Semi Converter - (Measured in Volt) - Peak Input Voltage 3 Phase Semi Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a semi converter circuit.
Delay Angle of 3 Phase Semi Converter - (Measured in Radian) - Delay Angle of 3 Phase Semi 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 Input Voltage 3 Phase Semi Converter: 22.7 Volt --> 22.7 Volt No Conversion Required
Delay Angle of 3 Phase Semi Converter: 70.3 Degree --> 1.22696646415178 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vrms(3Φ-semi) = sqrt(3)*Vin(3Φ-semi)*((3/(4*pi))*(pi-α(3Φ-semi)+((sin(2*α(3Φ-semi)))/2))^0.5) --> sqrt(3)*22.7*((3/(4*pi))*(pi-1.22696646415178+((sin(2*1.22696646415178))/2))^0.5)
Evaluating ... ...
Vrms(3Φ-semi) = 14.023103459576
STEP 3: Convert Result to Output's Unit
14.023103459576 Volt --> No Conversion Required
FINAL ANSWER
14.023103459576 14.0231 Volt <-- RMS Output Voltage 3 Phase Semi Converter
(Calculation completed in 00.004 seconds)

Credits

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

4 Three Phase Semi-Converter Calculators

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)
Average Output Voltage for Three Phase Semi-Converter
Go Average Voltage 3 Phase Semi Converter = (2.6*Peak Input Voltage 3 Phase Semi Converter*(1+cos(Delay Angle of 3 Phase Semi Converter)))/pi
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
Normalized Average Output Voltage
Go Normalized Output Voltage 3 Phase Semi Converter = 0.5*(1+cos(Delay Angle of 3 Phase Semi 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))

RMS Output Voltage for Three Phase Semi-Converter Formula

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)
Vrms(3Φ-semi) = sqrt(3)*Vin(3Φ-semi)*((3/(4*pi))*(pi-α(3Φ-semi)+((sin(2*α(3Φ-semi)))/2))^0.5)

What is the meaning of root mean square?

The root mean square value of a quantity is the square root of the mean value of the squared values of the quantity taken over an interval. AC voltages are always given as RMS values because this allows a sensible comparison to be made with steady DC voltages.

How to Calculate RMS Output Voltage for Three Phase Semi-Converter?

RMS Output Voltage for Three Phase Semi-Converter calculator uses 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) to calculate the RMS Output Voltage 3 Phase Semi Converter, The RMS output voltage for three phase semi-converter formula is the root mean square value of the average output voltage of the converter. RMS Output Voltage 3 Phase Semi Converter is denoted by Vrms(3Φ-semi) symbol.

How to calculate RMS Output Voltage for Three Phase Semi-Converter using this online calculator? To use this online calculator for RMS Output Voltage for Three Phase Semi-Converter, enter Peak Input Voltage 3 Phase Semi Converter (Vin(3Φ-semi)) & Delay Angle of 3 Phase Semi Converter (3Φ-semi)) and hit the calculate button. Here is how the RMS Output Voltage for Three Phase Semi-Converter calculation can be explained with given input values -> 14.0231 = sqrt(3)*22.7*((3/(4*pi))*(pi-1.22696646415178+((sin(2*1.22696646415178))/2))^0.5).

FAQ

What is RMS Output Voltage for Three Phase Semi-Converter?
The RMS output voltage for three phase semi-converter formula is the root mean square value of the average output voltage of the converter and is represented as Vrms(3Φ-semi) = sqrt(3)*Vin(3Φ-semi)*((3/(4*pi))*(pi-α(3Φ-semi)+((sin(2*α(3Φ-semi)))/2))^0.5) or 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). Peak Input Voltage 3 Phase Semi Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a semi converter circuit & Delay Angle of 3 Phase Semi 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 RMS Output Voltage for Three Phase Semi-Converter?
The RMS output voltage for three phase semi-converter formula is the root mean square value of the average output voltage of the converter is calculated using 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). To calculate RMS Output Voltage for Three Phase Semi-Converter, you need Peak Input Voltage 3 Phase Semi Converter (Vin(3Φ-semi)) & Delay Angle of 3 Phase Semi Converter (3Φ-semi)). With our tool, you need to enter the respective value for Peak Input Voltage 3 Phase Semi Converter & Delay Angle of 3 Phase Semi Converter and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!