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RMS Output Voltage for SPWM Inverter Formula

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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 o(rms) = V i \cdot \sqrt{\sum (x, 1, N p, (\frac{P m}{π}))}

V_o(rms) - RMS Output Voltage of SPWM Inverter?V_i - Input Voltage?N_p - Number of Pulse in Half-cycle?P_m - Pulse Width?π - Archimedes' constant?

RMS Output Voltage for SPWM Inverter Example

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

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

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

209.3592 = 225 \cdot \sqrt{\sum (x, 1, 4, (\frac{0.68}{3.1416}))}

209.3592V = 225V \cdot \sqrt{\sum (x, 1, 4, (\frac{0.68s}{3.1416}))}

209.3592 = 225 \cdot \sqrt{\sum (x, 1, 4, (\frac{0.68}{3.1416}))}

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RMS Output Voltage for SPWM Inverter Solution

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

FIRST Step Consider the formula

V o(rms) = V i \cdot \sqrt{\sum (x, 1, N p, (\frac{P m}{π}))}

Next Step Substitute values of Variables

∴

V o(rms) = 225V \cdot \sqrt{\sum (x, 1, 4, (\frac{0.68s}{π}))}

Next Step Substitute values of Constants

∴

V o(rms) = 225V \cdot \sqrt{\sum (x, 1, 4, (\frac{0.68s}{3.1416}))}

Next Step Prepare to Evaluate

∴

V o(rms) = 225 \cdot \sqrt{\sum (x, 1, 4, (\frac{0.68}{3.1416}))}

Next Step Evaluate

∴

V o(rms) = 209.359192125658V

LAST Step Rounding Answer

∴

V o(rms) = 209.3592V

RMS Output Voltage for SPWM Inverter Formula Elements

Variables

Constants

Functions

RMS Output Voltage of SPWM Inverter

RMS Output Voltage of SPWM Inverter is the root mean square value of the average output voltage of any type of inverter.

Symbol: V_o(rms)

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find 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

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.

Symbol: N_p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Pulse in Half-cycle

Pulse Width

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.

Symbol: P_m

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Pulse Width

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)

sum

Summation or sigma (∑) notation is a method used to write out a long sum in a concise way.

Syntax: sum(i, from, to, expr)

Other formulas in Single Phase Inverters category

Go RMS Output Voltage for Single Phase Inverter

V rms = \frac{V i}{2}

Go RMS Value of Fundamental Component of Voltage for Half Bridge

V 0(half) = 0.45 \cdot V i

Go RMS Value of Fundamental Component of Voltage for Full Bridge

V 0(full) = 0.9 \cdot V i

Go RMS Output Voltage for RL Load

E rms = \sqrt{(\frac{2}{\frac{T}{2}}) \cdot \int ((E^{2}), x, 0, \frac{T}{2})}

How to Evaluate RMS Output Voltage for SPWM Inverter?

RMS Output Voltage for SPWM Inverter evaluator uses RMS Output Voltage of SPWM Inverter = Input Voltage*sqrt(sum(x,1,Number of Pulse in Half-cycle,(Pulse Width/pi))) to evaluate 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 evaluate RMS Output Voltage for SPWM Inverter using this online evaluator? To use this online evaluator 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.

FAQs on RMS Output Voltage for SPWM Inverter

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

The formula of RMS Output Voltage for SPWM Inverter is expressed as RMS Output Voltage of SPWM Inverter = Input Voltage*sqrt(sum(x,1,Number of Pulse in Half-cycle,(Pulse Width/pi))). Here is an example- 209.3592 = 225*sqrt(sum(x,1,4,(0.68/pi))).

How to calculate RMS Output Voltage for SPWM Inverter?

With Input Voltage (V_i), Number of Pulse in Half-cycle (N_p) & Pulse Width (P_m) we can find RMS Output Voltage for SPWM Inverter using the formula - RMS Output Voltage of SPWM Inverter = Input Voltage*sqrt(sum(x,1,Number of Pulse in Half-cycle,(Pulse Width/pi))). This formula also uses Archimedes' constant and , Square Root (sqrt), Summation Notation (sum) function(s).

Can the RMS Output Voltage for SPWM Inverter be negative?

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

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

RMS Output 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 RMS Output Voltage for SPWM Inverter can be measured.

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