RMS of Fundamental Component of Line-to-Line Voltage Calculator

✖Input voltage is the voltage supplied to an inverter based circuit.ⓘ Input Voltage [V_i]

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✖Fundamental Component RMS Voltage is the root mean square value of the average output voltage of any type of inverter.ⓘ RMS of Fundamental Component of Line-to-Line Voltage [V_0(3rms)]

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Formula

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RMS of Fundamental Component of Line-to-Line Voltage

Formula

`"V"_{"0(3rms)"} = 0.7797*"V"_{"i"}`

Example

`"175.4325V"=0.7797*"225V"`

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RMS of Fundamental Component of Line-to-Line Voltage Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fundamental Component RMS Voltage = 0.7797*Input Voltage
V_0(3rms) = 0.7797*V_i
This formula uses 2 Variables

Variables Used

Fundamental Component RMS Voltage - (Measured in Volt) - Fundamental Component RMS Voltage is the root mean square value of the average output voltage of any type of inverter.
Input Voltage - (Measured in Volt) - Input voltage is the voltage supplied to an inverter based circuit.

STEP 1: Convert Input(s) to Base Unit

Input Voltage: 225 Volt --> 225 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_0(3rms) = 0.7797*V_i --> 0.7797*225

Evaluating ... ...

V_0(3rms) = 175.4325

STEP 3: Convert Result to Output's Unit

175.4325 Volt --> No Conversion Required

FINAL ANSWER

175.4325 Volt <-- Fundamental Component RMS Voltage

(Calculation completed in 00.004 seconds)

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Credits

Created by Devyaani Garg

Shiv Nadar University (SNU), Greater Noida

Devyaani Garg has created this Calculator and 50+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< 6 Three Phase Inverters Calculators

RMS Transistor Current Rating

Go RMS Transistor Current Rating = sqrt((1/(2*pi))*int((Input Voltage/(2*Resistance))^2,x,0,((2*pi)/3)))

Line to Line RMS Voltage for SPWM Inverter

Go Line to Line RMS Output Voltage of SPWM Inverter = sqrt((2/pi)*int((Input Voltage^2),x,0,((2*pi)/3)))

Average Transistor Current Rating

Go Average Transistor Current Rating = (1/(2*pi))*int(Input Voltage/(2*Resistance),x,0,(2*pi)/3)

RMS of Fundamental Component of Line-to-Line Voltage

Go Fundamental Component RMS Voltage = 0.7797*Input Voltage

Line-to-Line RMS Voltage

Go Line to Line RMS Output Voltage = 0.8165*Input Voltage

Line-to-Neutral Voltage

Go Line to Neutral Voltage = 0.4714*Input Voltage

RMS of Fundamental Component of Line-to-Line Voltage Formula

Fundamental Component RMS Voltage = 0.7797*Input Voltage
V_0(3rms) = 0.7797*V_i

How is harmonic analysis useful?

The harmonic is a voltage or current at a multiple of the fundamental frequency of the system, produced by the action of non-linear loads. High levels of Harmonics in the system may lead to overheating component thus causing shorten the life of the equipment, reduced power factors. So, harmonic analysis is needed to use the appropriate harmonics of current or voltage to reduce the overheating problem.

How to Calculate RMS of Fundamental Component of Line-to-Line Voltage?

RMS of Fundamental Component of Line-to-Line Voltage calculator uses Fundamental Component RMS Voltage = 0.7797*Input Voltage to calculate the Fundamental Component RMS Voltage, The RMS of fundamental component of line-to-line voltage is found from the peak to peak magnitude of the line-to-line instantaneous voltage v_ab by putting n as 1. Fundamental Component RMS Voltage is denoted by V_0(3rms) symbol.

How to calculate RMS of Fundamental Component of Line-to-Line Voltage using this online calculator? To use this online calculator for RMS of Fundamental Component of Line-to-Line Voltage, enter Input Voltage (V_i) and hit the calculate button. Here is how the RMS of Fundamental Component of Line-to-Line Voltage calculation can be explained with given input values -> 175.4325 = 0.7797*225.

FAQ

What is RMS of Fundamental Component of Line-to-Line Voltage?

The RMS of fundamental component of line-to-line voltage is found from the peak to peak magnitude of the line-to-line instantaneous voltage v_ab by putting n as 1 and is represented as V_0(3rms) = 0.7797*V_i or Fundamental Component RMS Voltage = 0.7797*Input Voltage. Input voltage is the voltage supplied to an inverter based circuit.

How to calculate RMS of Fundamental Component of Line-to-Line Voltage?

The RMS of fundamental component of line-to-line voltage is found from the peak to peak magnitude of the line-to-line instantaneous voltage v_ab by putting n as 1 is calculated using Fundamental Component RMS Voltage = 0.7797*Input Voltage. To calculate RMS of Fundamental Component of Line-to-Line Voltage, you need Input Voltage (V_i). With our tool, you need to enter the respective value for Input Voltage 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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