Line to Line RMS Voltage for SPWM Inverter Calculator

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

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✖Line to Line RMS Output Voltage of SPWM Inverter is the root mean square value of the average output voltage of any type of inverter.ⓘ Line to Line RMS Voltage for SPWM Inverter [V_LL]

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Formula

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Line to Line RMS Voltage for SPWM Inverter

Formula

`"V"_{"LL"} = sqrt((2/pi)*int(("V"_{"i"}^2),x,0,((2*pi)/3)))`

Example

`"259.8076V"=sqrt((2/pi)*int((("225V")^2),x,0,((2*pi)/3)))`

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Line to Line RMS Voltage for SPWM Inverter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Line to Line RMS Output Voltage of SPWM Inverter = sqrt((2/pi)*int((Input Voltage^2),x,0,((2*pi)/3)))
V_LL = sqrt((2/pi)*int((V_i^2),x,0,((2*pi)/3)))
This formula uses 1 Constants, 2 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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)
int - The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis., int(expr, arg, from, to)

Variables Used

Line to Line RMS Output Voltage of SPWM Inverter - (Measured in Volt) - Line to Line RMS Output Voltage of SPWM Inverter 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_LL = sqrt((2/pi)*int((V_i^2),x,0,((2*pi)/3))) --> sqrt((2/pi)*int((225^2),x,0,((2*pi)/3)))

Evaluating ... ...

V_LL = 259.807621135332

STEP 3: Convert Result to Output's Unit

259.807621135332 Volt --> No Conversion Required

FINAL ANSWER

259.807621135332 ≈ 259.8076 Volt <-- Line to Line RMS Output Voltage of SPWM Inverter

(Calculation completed in 00.004 seconds)

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Created by Siddharth Raj

Heritage Institute of Technology ( HITK), Kolkata

Siddharth Raj has created this Calculator and 10+ more calculators!

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Dayananda Sagar College of Engineering (DSCE), Bangalore

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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

Line to Line RMS Voltage for SPWM Inverter Formula

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

What are the Significance of the Line-to-Line RMS voltage in SPWM Inverter?

The Line-to-Line RMS voltage in a three-phase SPWM inverter system is crucial for power distribution, motor drive applications, inverter design, and voltage drop considerations in electrical systems. It represents the effective voltage level between any two phases and influences power transmission, motor performance, component selection, and system reliability.

How to Calculate Line to Line RMS Voltage for SPWM Inverter?

Line to Line RMS Voltage for SPWM Inverter calculator uses Line to Line RMS Output Voltage of SPWM Inverter = sqrt((2/pi)*int((Input Voltage^2),x,0,((2*pi)/3))) to calculate the Line to Line RMS Output Voltage of SPWM Inverter, The Line to Line RMS Voltage for SPWM Inverter formula is refers as the RMS voltage measured between any two output terminals of the inverter. Line to Line RMS Output Voltage of SPWM Inverter is denoted by V_LL symbol.

How to calculate Line to Line RMS Voltage for SPWM Inverter using this online calculator? To use this online calculator for Line to Line RMS Voltage for SPWM Inverter, enter Input Voltage (V_i) and hit the calculate button. Here is how the Line to Line RMS Voltage for SPWM Inverter calculation can be explained with given input values -> 259.8076 = sqrt((2/pi)*int((225^2),x,0,((2*pi)/3))).

FAQ

What is Line to Line RMS Voltage for SPWM Inverter?

The Line to Line RMS Voltage for SPWM Inverter formula is refers as the RMS voltage measured between any two output terminals of the inverter and is represented as V_LL = sqrt((2/pi)*int((V_i^2),x,0,((2*pi)/3))) or Line to Line RMS Output Voltage of SPWM Inverter = sqrt((2/pi)*int((Input Voltage^2),x,0,((2*pi)/3))). Input voltage is the voltage supplied to an inverter based circuit.

How to calculate Line to Line RMS Voltage for SPWM Inverter?

The Line to Line RMS Voltage for SPWM Inverter formula is refers as the RMS voltage measured between any two output terminals of the inverter is calculated using Line to Line RMS Output Voltage of SPWM Inverter = sqrt((2/pi)*int((Input Voltage^2),x,0,((2*pi)/3))). To calculate Line to Line RMS Voltage for SPWM Inverter, 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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