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

STEP 0: Pre-Calculation Summary
Formula Used
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
Vrms(semi) = (Vm(semi)/(2^0.5))*((180-α(semi))/180+(0.5/pi)*sin(2*α(semi)))^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 Output Voltage Semi Converter - (Measured in Volt) - RMS Output Voltage Semi Converter is defined as the root mean square value of the voltage at output terminal of a semi converter circuit.
Maximum Input Voltage Semi Converter - (Measured in Volt) - Maximum Input Voltage Semi Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a semi converter circuit.
Delay Angle Semi Converter - (Measured in Radian) - Delay Angle Semi Converter refers to the angle at which the thyristor is triggered to start conducting current in semi converter based circuit.
STEP 1: Convert Input(s) to Base Unit
Maximum Input Voltage Semi Converter: 22.8 Volt --> 22.8 Volt No Conversion Required
Delay Angle Semi Converter: 70.1 Degree --> 1.22347580564779 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vrms(semi) = (Vm(semi)/(2^0.5))*((180-α(semi))/180+(0.5/pi)*sin(2*α(semi)))^0.5 --> (22.8/(2^0.5))*((180-1.22347580564779)/180+(0.5/pi)*sin(2*1.22347580564779))^0.5
Evaluating ... ...
Vrms(semi) = 16.871072068286
STEP 3: Convert Result to Output's Unit
16.871072068286 Volt --> No Conversion Required
FINAL ANSWER
16.871072068286 16.87107 Volt <-- RMS Output Voltage Semi Converter
(Calculation completed in 00.013 seconds)

Credits

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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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Single Phase Semi Converter Calculators

RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load
​ LaTeX ​ 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 of Single Phase Semi-Converter with Highly Inductive Load
​ LaTeX ​ Go Average Voltage Semi Converter = (Maximum Input Voltage Semi Converter/pi)*(1+cos(Delay Angle Semi Converter))
Maximum Output Voltage of Single Phase Semi-Converter with Highly Inductive Load
​ LaTeX ​ Go Peak Output Voltage Semi Converter = (2*Maximum Input Voltage Semi Converter)/pi
Displacement Power Factor for Constant Load Current
​ LaTeX ​ Go Displacement Power Factor Semi Converter = cos(Delay Angle Semi Converter/2)

Power Converter Characteristics Calculators

DC Output Voltage of Second Converter
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Average Voltage Full Converter = (2*Maximum DC Output Voltage Full Converter*cos(Firing Angle Full Converter))/pi
RMS Output Voltage of Single Phase Full Converter
​ LaTeX ​ Go RMS Output Voltage Full Converter = Maximum Input Voltage Full Converter/(sqrt(2))

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

​LaTeX ​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
Vrms(semi) = (Vm(semi)/(2^0.5))*((180-α(semi))/180+(0.5/pi)*sin(2*α(semi)))^0.5

What is peak voltage?

The peak voltage is the distance from 0 volts to the peak of the AC sine waveform, or the highest point of the waveform. Peak voltage can be found if you know the peak-to-peak voltage or the RMS voltage

How to Calculate RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load?

RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load calculator uses 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 to calculate the RMS Output Voltage Semi Converter, The RMS output voltage of single phase semi-converter with highly inductive load formula is the root mean square value of the average output voltage of the converter. RMS Output Voltage Semi Converter is denoted by Vrms(semi) symbol.

How to calculate RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load using this online calculator? To use this online calculator for RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load, enter Maximum Input Voltage Semi Converter (Vm(semi)) & Delay Angle Semi Converter (semi)) and hit the calculate button. Here is how the RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load calculation can be explained with given input values -> 16.79708 = (22.8/(2^0.5))*((180-1.22347580564779)/180+(0.5/pi)*sin(2*1.22347580564779))^0.5.

FAQ

What is RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load?
The RMS output voltage of single phase semi-converter with highly inductive load formula is the root mean square value of the average output voltage of the converter and is represented as Vrms(semi) = (Vm(semi)/(2^0.5))*((180-α(semi))/180+(0.5/pi)*sin(2*α(semi)))^0.5 or 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. Maximum Input Voltage Semi Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a semi converter circuit & Delay Angle Semi Converter refers to the angle at which the thyristor is triggered to start conducting current in semi converter based circuit.
How to calculate RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load?
The RMS output voltage of single phase semi-converter with highly inductive load formula is the root mean square value of the average output voltage of the converter is calculated using 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. To calculate RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load, you need Maximum Input Voltage Semi Converter (Vm(semi)) & Delay Angle Semi Converter (semi)). With our tool, you need to enter the respective value for Maximum Input Voltage Semi Converter & Delay Angle Semi 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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