FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Line to Line RMS Voltage for SPWM Inverter Formula

Fx Copy

LaTeX Copy

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. Check FAQs

V LL = \sqrt{(\frac{2}{π}) \cdot \int (({V i}^{2}), x, 0, (\frac{2 \cdot π}{3}))}

V_LL - Line to Line RMS Output Voltage of SPWM Inverter?V_i - Input Voltage?π - Archimedes' constant?

Line to Line RMS Voltage for SPWM Inverter Example

With values

With units

Only example

Here is how the Line to Line RMS Voltage for SPWM Inverter equation looks like with Values.

Here is how the Line to Line RMS Voltage for SPWM Inverter equation looks like with Units.

Here is how the Line to Line RMS Voltage for SPWM Inverter equation looks like.

259.8076 = \sqrt{(\frac{2}{3.1416}) \cdot \int ((225^{2}), x, 0, (\frac{2 \cdot 3.1416}{3}))}

259.8076V = \sqrt{(\frac{2}{3.1416}) \cdot \int (({225V}^{2}), x, 0, (\frac{2 \cdot 3.1416}{3}))}

259.8076 = \sqrt{(\frac{2}{3.1416}) \cdot \int ((225^{2}), x, 0, (\frac{2 \cdot 3.1416}{3}))}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electrical » Category

Power Electronics » fx Line to Line RMS Voltage for SPWM Inverter

Line to Line RMS Voltage for SPWM Inverter Solution

Follow our step by step solution on how to calculate Line to Line RMS Voltage for SPWM Inverter?

FIRST Step Consider the formula

V LL = \sqrt{(\frac{2}{π}) \cdot \int (({V i}^{2}), x, 0, (\frac{2 \cdot π}{3}))}

Next Step Substitute values of Variables

∴

V LL = \sqrt{(\frac{2}{π}) \cdot \int (({225V}^{2}), x, 0, (\frac{2 \cdot π}{3}))}

Next Step Substitute values of Constants

∴

V LL = \sqrt{(\frac{2}{3.1416}) \cdot \int (({225V}^{2}), x, 0, (\frac{2 \cdot 3.1416}{3}))}

Next Step Prepare to Evaluate

∴

V LL = \sqrt{(\frac{2}{3.1416}) \cdot \int ((225^{2}), x, 0, (\frac{2 \cdot 3.1416}{3}))}

Next Step Evaluate

∴

V LL = 259.807621135332V

LAST Step Rounding Answer

∴

V LL = 259.8076V

Line to Line RMS Voltage for SPWM Inverter Formula Elements

Variables

Constants

Functions

Line to Line RMS Output Voltage of SPWM Inverter

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.

Symbol: V_LL

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Line to Line RMS Output Voltage of SPWM Inverter

Input Voltage

Input voltage is the voltage supplied to an inverter based circuit.

Symbol: V_i

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Input Voltage

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: 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.

Syntax: int(expr, arg, from, to)

Other formulas in Three Phase Inverters category

Go Line-to-Line RMS Voltage

V ll = 0.8165 \cdot V i

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

V 0(3rms) = 0.7797 \cdot V i

Go Line-to-Neutral Voltage

V ln = 0.4714 \cdot V i

Go RMS Transistor Current Rating

I rms = \sqrt{(\frac{1}{2 \cdot π}) \cdot \int ({(\frac{V i}{2 \cdot R})}^{2}, x, 0, (\frac{2 \cdot π}{3}))}

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

Line to Line RMS Voltage for SPWM Inverter evaluator uses Line to Line RMS Output Voltage of SPWM Inverter = sqrt((2/pi)*int((Input Voltage^2),x,0,((2*pi)/3))) to evaluate 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 evaluate Line to Line RMS Voltage for SPWM Inverter using this online evaluator? To use this online evaluator for Line to Line RMS Voltage for SPWM Inverter, enter Input Voltage (V_i) and hit the calculate button.

FAQs on Line to Line RMS Voltage for SPWM Inverter

What is the formula to find Line to Line RMS Voltage for SPWM Inverter?

The formula of Line to Line RMS Voltage for SPWM Inverter is expressed as Line to Line RMS Output Voltage of SPWM Inverter = sqrt((2/pi)*int((Input Voltage^2),x,0,((2*pi)/3))). Here is an example- 259.8076 = sqrt((2/pi)*int((225^2),x,0,((2*pi)/3))).

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

With Input Voltage (V_i) we can find Line to Line RMS Voltage for SPWM Inverter using the formula - Line to Line RMS Output Voltage of SPWM Inverter = sqrt((2/pi)*int((Input Voltage^2),x,0,((2*pi)/3))). This formula also uses Archimedes' constant and , Square Root (sqrt), Definite Integral (int) function(s).

Can the Line to Line RMS Voltage for SPWM Inverter be negative?

Yes, the Line to Line RMS Voltage for SPWM Inverter, measured in Electric Potential can be negative.

Which unit is used to measure Line to Line RMS Voltage for SPWM Inverter?

Line to Line RMS Voltage for SPWM Inverter is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Line to Line RMS Voltage for SPWM Inverter can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit