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Average Output Voltage for PWM Control Formula

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Average Output Voltage of PWM Controlled Converter refers to the Mean Value of the Output Voltage Waveform over a specific Time interval. Check FAQs

E dc = (\frac{E m}{π}) \cdot \sum (x, 1, p, (\cos (α k) - \cos (β k)))

E_dc - Average Output Voltage of PWM Controlled Converter?E_m - Peak Input Voltage of PWM Converter?p - Number of Pulse in Half-cycle of PWM?α_k - Excitation Angle?β_k - Symmetrical Angle?π - Archimedes' constant?

Average Output Voltage for PWM Control Example

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Here is how the Average Output Voltage for PWM Control equation looks like with Values.

Here is how the Average Output Voltage for PWM Control equation looks like with Units.

Here is how the Average Output Voltage for PWM Control equation looks like.

80.3916 = (\frac{230}{3.1416}) \cdot \sum (x, 1, 3, (\cos (30) - \cos (60)))

80.3916V = (\frac{230V}{3.1416}) \cdot \sum (x, 1, 3, (\cos (30°) - \cos (60°)))

80.3916 = (\frac{230}{3.1416}) \cdot \sum (x, 1, 3, (\cos (30) - \cos (60)))

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Average Output Voltage for PWM Control Solution

Follow our step by step solution on how to calculate Average Output Voltage for PWM Control?

FIRST Step Consider the formula

E dc = (\frac{E m}{π}) \cdot \sum (x, 1, p, (\cos (α k) - \cos (β k)))

Next Step Substitute values of Variables

∴

E dc = (\frac{230V}{π}) \cdot \sum (x, 1, 3, (\cos (30°) - \cos (60°)))

Next Step Substitute values of Constants

∴

E dc = (\frac{230V}{3.1416}) \cdot \sum (x, 1, 3, (\cos (30°) - \cos (60°)))

Next Step Convert Units

∴

E dc = (\frac{230V}{3.1416}) \cdot \sum (x, 1, 3, (\cos (0.5236rad) - \cos (1.0472rad)))

Next Step Prepare to Evaluate

∴

E dc = (\frac{230}{3.1416}) \cdot \sum (x, 1, 3, (\cos (0.5236) - \cos (1.0472)))

Next Step Evaluate

∴

E dc = 80.3915581870729V

LAST Step Rounding Answer

∴

E dc = 80.3916V

Average Output Voltage for PWM Control Formula Elements

Variables

Constants

Functions

Average Output Voltage of PWM Controlled Converter

Average Output Voltage of PWM Controlled Converter refers to the Mean Value of the Output Voltage Waveform over a specific Time interval.

Symbol: E_dc

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Average Output Voltage of PWM Controlled Converter

Peak Input Voltage of PWM Converter

Peak Input Voltage of PWM Converter is defined as the maximum voltage level that the input signal reaches during a given period.

Symbol: E_m

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Peak Input Voltage of PWM Converter

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.

Symbol: p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Pulse in Half-cycle of PWM

Excitation Angle

Excitation Angle is the angle at which the PWM Converter begins to Produce Output Voltage or Current.

Symbol: α_k

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Excitation Angle

Symmetrical Angle

Symmetrical Angle is the Angle at which the PWM Converter produces Symmetrical Output Waveforms with respect to the AC Input Waveform.

Symbol: β_k

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Symmetrical Angle

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

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 Power Converter Characteristics category

Go DC Output Voltage for First Converter

V out(first) = \frac{2 \cdot V in(dual) \cdot (\cos (α 1(dual)))}{π}

Go DC Output Voltage of Second Converter

V out(second) = \frac{2 \cdot V in(dual) \cdot (\cos (α 2(dual)))}{π}

Go Average DC Output Voltage of Single Phase Full Converter

V avg-dc(full) = \frac{2 \cdot V m-dc(full) \cdot \cos (α full)}{π}

Go RMS Output Voltage of Single Phase Full Converter

V rms(full) = \frac{V m(full)}{\sqrt{2}}

How to Evaluate Average Output Voltage for PWM Control?

Average Output Voltage for PWM Control evaluator 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 evaluate 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 E_dc symbol.

How to evaluate Average Output Voltage for PWM Control using this online evaluator? To use this online evaluator for Average Output Voltage for PWM Control, enter Peak Input Voltage of PWM Converter (E_m), Number of Pulse in Half-cycle of PWM (p), Excitation Angle (α_k) & Symmetrical Angle (β_k) and hit the calculate button.

FAQs on Average Output Voltage for PWM Control

What is the formula to find Average Output Voltage for PWM Control?

The formula of Average Output Voltage for PWM Control is expressed as 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))). Here is an example- 73.82028 = (230/pi)*sum(x,1,3,(cos(0.5235987755982)-cos(1.0471975511964))).

How to calculate Average Output Voltage for PWM Control?

With Peak Input Voltage of PWM Converter (E_m), Number of Pulse in Half-cycle of PWM (p), Excitation Angle (α_k) & Symmetrical Angle (β_k) we can find Average Output Voltage for PWM Control using the 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))). This formula also uses Archimedes' constant and , Cosine (cos), Summation Notation (sum) function(s).

Can the Average Output Voltage for PWM Control be negative?

No, the Average Output Voltage for PWM Control, measured in Electric Potential cannot be negative.

Which unit is used to measure Average Output Voltage for PWM Control?

Average Output Voltage for PWM Control is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Average Output Voltage for PWM Control can be measured.

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Average Output Voltage for PWM Control Formula

Average Output Voltage for PWM Control Example

Average Output Voltage for PWM Control Solution

Average Output Voltage for PWM Control Formula Elements

Other formulas in Power Converter Characteristics category

How to Evaluate Average Output Voltage for PWM Control?

FAQs on Average Output Voltage for PWM Control

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