RMS Output Voltage for SPWM Inverter Calculator

✖Input voltage is the voltage supplied to an inverter based circuit.ⓘ Input Voltage [V_i]			+10% -10%
✖Number of Pulse in Half-cycle refers to the count of pulses generated within half of the waveform period.ⓘ Number of Pulse in Half-cycle [N_p]			+10% -10%
✖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.ⓘ Pulse Width [P_m]			+10% -10%

✖RMS Output Voltage of SPWM Inverter is the root mean square value of the average output voltage of any type of inverter.ⓘ RMS Output Voltage for SPWM Inverter [V_o(rms)]

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RMS Output Voltage for SPWM Inverter

Formula

`"V"_{"o(rms)"} = "V"_{"i"}*sqrt(sum(x,1,"N"_{"p"},("P"_{"m"}/pi)))`

Example

`"209.3592V"="225V"*sqrt(sum(x,1,"4",("0.68s"/pi)))`

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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)))
V_o(rms) = V_i*sqrt(sum(x,1,N_p,(P_m/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

V_o(rms) = V_i*sqrt(sum(x,1,N_p,(P_m/pi))) --> 225*sqrt(sum(x,1,4,(0.68/pi)))

Evaluating ... ...

V_o(rms) = 209.359192125658

STEP 3: Convert Result to Output's Unit

209.359192125658 Volt --> No Conversion Required

FINAL ANSWER

209.359192125658 ≈ 209.3592 Volt <-- 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

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< 5 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 Output Voltage for RL Load

Go RMS Output Voltage For RL Load = sqrt((2/(Time Period/2))*int((Input Voltage for RL Load^2),x,0,Time Period/2))

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)))
V_o(rms) = V_i*sqrt(sum(x,1,N_p,(P_m/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 V_o(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 (V_i), Number of Pulse in Half-cycle (N_p) & Pulse Width (P_m) 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 V_o(rms) = V_i*sqrt(sum(x,1,N_p,(P_m/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 (V_i), Number of Pulse in Half-cycle (N_p) & Pulse Width (P_m). 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.

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