## Average Output Voltage for PWM Control Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Output Voltage of PWM Controlled Converter = (Peak Input Voltage of PWM Converter/pi)*sum(x,1,Number of Pulse in Half-cycle of PWM,(cos(Excitation Angle)-cos(Symmetrical Angle)))
Edc = (Em/pi)*sum(x,1,p,(cos(αk)-cos(βk)))
This formula uses 1 Constants, 2 Functions, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
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
Average Output Voltage of PWM Controlled Converter - (Measured in Volt) - Average Output Voltage of PWM Controlled Converter refers to the Mean Value of the Output Voltage Waveform over a specific Time interval.
Peak Input Voltage of PWM Converter - (Measured in Volt) - Peak Input Voltage of PWM Converter is defined as the maximum voltage level that the input signal reaches during a given period.
Number of Pulse in Half-cycle of PWM - Number of Pulse in Half-cycle of PWM (Pulse Width Modulation) converter refers to the count of pulses generated within half of the waveform period.
Excitation Angle - (Measured in Radian) - Excitation Angle is the angle at which the PWM Converter begins to Produce Output Voltage or Current.
Symmetrical Angle - (Measured in Radian) - Symmetrical Angle is the Angle at which the PWM Converter produces Symmetrical Output Waveforms with respect to the AC Input Waveform.
STEP 1: Convert Input(s) to Base Unit
Peak Input Voltage of PWM Converter: 230 Volt --> 230 Volt No Conversion Required
Number of Pulse in Half-cycle of PWM: 3 --> No Conversion Required
Excitation Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion ​here)
Symmetrical Angle: 60 Degree --> 1.0471975511964 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Edc = (Em/pi)*sum(x,1,p,(cos(αk)-cos(βk))) --> (230/pi)*sum(x,1,3,(cos(0.5235987755982)-cos(1.0471975511964)))
Evaluating ... ...
Edc = 80.3915581870729
STEP 3: Convert Result to Output's Unit
80.3915581870729 Volt --> No Conversion Required
80.3915581870729 80.39156 Volt <-- Average Output Voltage of PWM Controlled Converter
(Calculation completed in 00.004 seconds)
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## <Power Converter Characteristics Calculators

DC Output Voltage of Second Converter
​ Go DC Output Voltage Second Converter = (2*Peak Input Voltage Dual Converter*(cos(Delay Angle of Second Converter)))/pi
DC Output Voltage for First Converter
​ Go DC Output Voltage First Converter = (2*Peak Input Voltage Dual Converter*(cos(Delay Angle of First Converter)))/pi
Average DC Output Voltage of Single Phase Full Converter
​ Go Average Voltage Full Converter = (2*Maximum DC Output Voltage Full Converter*cos(Firing Angle Full Converter))/pi
RMS Output Voltage of Single Phase Full Converter
​ Go RMS Output Voltage Full Converter = Maximum Input Voltage Full Converter/(sqrt(2))

## Average Output Voltage for PWM Control Formula

Average Output Voltage of PWM Controlled Converter = (Peak Input Voltage of PWM Converter/pi)*sum(x,1,Number of Pulse in Half-cycle of PWM,(cos(Excitation Angle)-cos(Symmetrical Angle)))
Edc = (Em/pi)*sum(x,1,p,(cos(αk)-cos(βk)))

## What are the Benefits of PWM Controlled Converters?

PWM controlled converters offer a wide range of benefits, including high efficiency, precise control, improved power quality, and compatibility with modern control techniques, making them indispensable in various applications across industries such as automotive, renewable energy, industrial automation, and consumer electronics.

## How to Calculate Average Output Voltage for PWM Control?

Average Output Voltage for PWM Control calculator uses Average Output Voltage of PWM Controlled Converter = (Peak Input Voltage of PWM Converter/pi)*sum(x,1,Number of Pulse in Half-cycle of PWM,(cos(Excitation Angle)-cos(Symmetrical Angle))) to calculate the Average Output Voltage of PWM Controlled Converter, The Average Output Voltage for PWM Control formula is defined as the mean value of the output voltage waveform over a specified time interval and represents the effective voltage level delivered to the load by the PWM converter. Average Output Voltage of PWM Controlled Converter is denoted by Edc symbol.

How to calculate Average Output Voltage for PWM Control using this online calculator? To use this online calculator for Average Output Voltage for PWM Control, enter Peak Input Voltage of PWM Converter (Em), Number of Pulse in Half-cycle of PWM (p), Excitation Angle k) & Symmetrical Angle k) and hit the calculate button. Here is how the Average Output Voltage for PWM Control calculation can be explained with given input values -> 73.82028 = (230/pi)*sum(x,1,3,(cos(0.5235987755982)-cos(1.0471975511964))).

### FAQ

What is Average Output Voltage for PWM Control?
The Average Output Voltage for PWM Control formula is defined as the mean value of the output voltage waveform over a specified time interval and represents the effective voltage level delivered to the load by the PWM converter and is represented as Edc = (Em/pi)*sum(x,1,p,(cos(αk)-cos(βk))) or Average Output Voltage of PWM Controlled Converter = (Peak Input Voltage of PWM Converter/pi)*sum(x,1,Number of Pulse in Half-cycle of PWM,(cos(Excitation Angle)-cos(Symmetrical Angle))). Peak Input Voltage of PWM Converter is defined as the maximum voltage level that the input signal reaches during a given period, Number of Pulse in Half-cycle of PWM (Pulse Width Modulation) converter refers to the count of pulses generated within half of the waveform period, Excitation Angle is the angle at which the PWM Converter begins to Produce Output Voltage or Current & Symmetrical Angle is the Angle at which the PWM Converter produces Symmetrical Output Waveforms with respect to the AC Input Waveform.
How to calculate Average Output Voltage for PWM Control?
The Average Output Voltage for PWM Control formula is defined as the mean value of the output voltage waveform over a specified time interval and represents the effective voltage level delivered to the load by the PWM converter is calculated using Average Output Voltage of PWM Controlled Converter = (Peak Input Voltage of PWM Converter/pi)*sum(x,1,Number of Pulse in Half-cycle of PWM,(cos(Excitation Angle)-cos(Symmetrical Angle))). To calculate Average Output Voltage for PWM Control, you need Peak Input Voltage of PWM Converter (Em), Number of Pulse in Half-cycle of PWM (p), Excitation Angle k) & Symmetrical Angle k). With our tool, you need to enter the respective value for Peak Input Voltage of PWM Converter, Number of Pulse in Half-cycle of PWM, Excitation Angle & Symmetrical Angle 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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