## RMS Output Voltage for SPWM Inverter Solution

STEP 0: Pre-Calculation Summary
Formula Used
RMS Output Voltage of SPWM Inverter = Input Voltage*sqrt(sum(x,1,Number of Pulse in Half-cycle,(Pulse Width/pi)))
Vo(rms) = Vi*sqrt(sum(x,1,Np,(Pm/pi)))
This formula uses 1 Constants, 2 Functions, 4 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)
sum - Summation or sigma (∑) notation is a method used to write out a long sum in a concise way., sum(i, from, to, expr)
Variables Used
RMS Output Voltage of SPWM Inverter - (Measured in Volt) - 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.
Number of Pulse in Half-cycle - Number of Pulse in Half-cycle refers to the count of pulses generated within half of the waveform period.
Pulse Width - (Measured in Second) - Pulse Width is the Period between the Rising and Falling Edges of the Pulse Signal when it transitions from low to high and then back to low again.
STEP 1: Convert Input(s) to Base Unit
Input Voltage: 225 Volt --> 225 Volt No Conversion Required
Number of Pulse in Half-cycle: 4 --> No Conversion Required
Pulse Width: 0.68 Second --> 0.68 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vo(rms) = Vi*sqrt(sum(x,1,Np,(Pm/pi))) --> 225*sqrt(sum(x,1,4,(0.68/pi)))
Evaluating ... ...
Vo(rms) = 209.359192125658
STEP 3: Convert Result to Output's Unit
209.359192125658 Volt --> No Conversion Required
209.359192125658 209.3592 Volt <-- RMS Output Voltage of SPWM Inverter
(Calculation completed in 00.004 seconds)
You are here -
Home »

## Credits

Created by Siddharth Raj
Heritage Institute of Technology ( HITK), Kolkata
Siddharth Raj has created this Calculator and 10+ more calculators!
Verified by banuprakash
Dayananda Sagar College of Engineering (DSCE), Bangalore
banuprakash has verified this Calculator and 25+ more calculators!

## <Single Phase Inverters Calculators

RMS Output Voltage for SPWM Inverter
​ Go RMS Output Voltage of SPWM Inverter = Input Voltage*sqrt(sum(x,1,Number of Pulse in Half-cycle,(Pulse Width/pi)))
RMS Value of Fundamental Component of Voltage for Half Bridge
​ Go Fundamental Component Voltage Half Wave = 0.45*Input Voltage
RMS Value of Fundamental Component of Voltage for Full Bridge
​ Go Fundamental Component Voltage Full Wave = 0.9*Input Voltage
RMS Output Voltage for Single Phase Inverter
​ Go RMS Output Voltage = Input Voltage/2

## RMS Output Voltage for SPWM Inverter Formula

RMS Output Voltage of SPWM Inverter = Input Voltage*sqrt(sum(x,1,Number of Pulse in Half-cycle,(Pulse Width/pi)))
Vo(rms) = Vi*sqrt(sum(x,1,Np,(Pm/pi)))

## How Does RMS Voltage Plays a Critical Role in its Utility for Assessing the Inverter's Ability ?

The significance of RMS output voltage lies in its utility for assessing the inverter's ability to deliver power to connected loads efficiently and reliably. Unlike peak or average voltage values, which may not accurately represent the actual power delivered to the load, RMS voltage accounts for both the magnitude and the time-varying nature of the waveform. This makes it a more accurate representation of the power transfer capabilities of the inverter.

## How to Calculate RMS Output Voltage for SPWM Inverter?

RMS Output Voltage for SPWM Inverter calculator uses RMS Output Voltage of SPWM Inverter = Input Voltage*sqrt(sum(x,1,Number of Pulse in Half-cycle,(Pulse Width/pi))) to calculate the RMS Output Voltage of SPWM Inverter, RMS Output Voltage for SPWM Inverter refers to the effective or equivalent voltage level of the output waveform produced by the inverter. It is simply the root mean square value of the average output voltage. RMS Output Voltage of SPWM Inverter is denoted by Vo(rms) symbol.

How to calculate RMS Output Voltage for SPWM Inverter using this online calculator? To use this online calculator for RMS Output Voltage for SPWM Inverter, enter Input Voltage (Vi), Number of Pulse in Half-cycle (Np) & Pulse Width (Pm) and hit the calculate button. Here is how the RMS Output Voltage for SPWM Inverter calculation can be explained with given input values -> 209.3592 = 225*sqrt(sum(x,1,4,(0.68/pi))).

### FAQ

What is RMS Output Voltage for SPWM Inverter?
RMS Output Voltage for SPWM Inverter refers to the effective or equivalent voltage level of the output waveform produced by the inverter. It is simply the root mean square value of the average output voltage and is represented as Vo(rms) = Vi*sqrt(sum(x,1,Np,(Pm/pi))) or RMS Output Voltage of SPWM Inverter = Input Voltage*sqrt(sum(x,1,Number of Pulse in Half-cycle,(Pulse Width/pi))). Input voltage is the voltage supplied to an inverter based circuit, Number of Pulse in Half-cycle refers to the count of pulses generated within half of the waveform period & Pulse Width is the Period between the Rising and Falling Edges of the Pulse Signal when it transitions from low to high and then back to low again.
How to calculate RMS Output Voltage for SPWM Inverter?
RMS Output Voltage for SPWM Inverter refers to the effective or equivalent voltage level of the output waveform produced by the inverter. It is simply the root mean square value of the average output voltage is calculated using RMS Output Voltage of SPWM Inverter = Input Voltage*sqrt(sum(x,1,Number of Pulse in Half-cycle,(Pulse Width/pi))). To calculate RMS Output Voltage for SPWM Inverter, you need Input Voltage (Vi), Number of Pulse in Half-cycle (Np) & Pulse Width (Pm). With our tool, you need to enter the respective value for Input Voltage, Number of Pulse in Half-cycle & Pulse Width and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know