Average Output Voltage for PWM Control Calculator

✖Peak Input Voltage of PWM Converter is defined as the maximum voltage level that the input signal reaches during a given period.ⓘ Peak Input Voltage of PWM Converter [E_m]			+10% -10%
✖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.ⓘ Number of Pulse in Half-cycle of PWM [p]			+10% -10%
✖Excitation Angle is the angle at which the PWM Converter begins to Produce Output Voltage or Current.ⓘ Excitation Angle [α_k]			+10% -10%
✖Symmetrical Angle is the Angle at which the PWM Converter produces Symmetrical Output Waveforms with respect to the AC Input Waveform.ⓘ Symmetrical Angle [β_k]			+10% -10%

✖Average Output Voltage of PWM Controlled Converter refers to the Mean Value of the Output Voltage Waveform over a specific Time interval.ⓘ Average Output Voltage for PWM Control [E_dc]

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Formula

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Average Output Voltage for PWM Control

Formula

`"E"_{"dc"} = ("E"_{"m"}/pi)*sum(x,1,"p",(cos("α"_{"k"})-cos("β"_{"k"})))`

Example

`"80.39156V"=("230V"/pi)*sum(x,1,"3",(cos("30°")-cos("60.0°")))`

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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)))
E_dc = (E_m/pi)*sum(x,1,p,(cos(α_k)-cos(β_k)))
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

E_dc = (E_m/pi)*sum(x,1,p,(cos(α_k)-cos(β_k))) --> (230/pi)*sum(x,1,3,(cos(0.5235987755982)-cos(1.0471975511964)))

Evaluating ... ...

E_dc = 80.3915581870729

STEP 3: Convert Result to Output's Unit

80.3915581870729 Volt --> No Conversion Required

FINAL ANSWER

80.3915581870729 ≈ 80.39156 Volt <-- Average Output Voltage of PWM Controlled Converter

(Calculation completed in 00.004 seconds)

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Heritage Institute of Technology ( HITK), Kolkata

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< 19 Power Converter Characteristics Calculators

RMS Harmonic Current for PWM Control

Go RMS nth Harmonic Current = ((sqrt(2)*Armature Current)/pi)*sum(x,1,Number of Pulse in Half-cycle of PWM,(cos(Harmonic Order*Excitation Angle))-(cos(Harmonic Order*Symmetrical Angle)))

Average Output Voltage for PWM Control

Go 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)))

Fundamental Supply Current for PWM Control

Go Fundamental Supply Current = ((sqrt(2)*Armature Current)/pi)*sum(x,1,Number of Pulse in Half-cycle of PWM,(cos(Excitation Angle))-(cos(Symmetrical Angle)))

RMS Output Voltage for Three Phase Semi-Converter

Go RMS Output Voltage 3 Phase Semi Converter = sqrt(3)*Peak Input Voltage 3 Phase Semi Converter*((3/(4*pi))*(pi-Delay Angle of 3 Phase Semi Converter+((sin(2*Delay Angle of 3 Phase Semi Converter))/2))^0.5)

RMS Supply Current for PWM Control

Go Root Mean Square Current = Armature Current/sqrt(pi)*sqrt(sum(x,1,Number of Pulse in Half-cycle of PWM,(Symmetrical Angle-Excitation Angle)))

RMS Output Voltage for Resistive Load

Go RMS Output Voltage 3 Phase Half Converter = sqrt(3)*Peak Phase Voltage*(sqrt((1/6)+((sqrt(3)*cos(2*Delay Angle of 3 Phase Half Converter))/(8*pi))))

RMS Output Voltage for Continuous Load Current

Go RMS Output Voltage 3 Phase Half Converter = sqrt(3)*Peak Input Voltage 3 Phase Half Converter*((1/6)+(sqrt(3)*cos(2*Delay Angle of 3 Phase Half Converter))/(8*pi))^0.5

RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load

Go RMS Voltage Thyristor Converter = (Peak Input Voltage Thyristor Converter/2)*((180-Delay Angle of Thyristor Converter)/180+(0.5/pi)*sin(2*Delay Angle of Thyristor Converter))^0.5

RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load

Go RMS Output Voltage Semi Converter = (Maximum Input Voltage Semi Converter/(2^0.5))*((180-Delay Angle Semi Converter)/180+(0.5/pi)*sin(2*Delay Angle Semi Converter))^0.5

Average Output Voltage for Continuous Load Current

Go Average Voltage 3 Phase Half Converter = (3*sqrt(3)*Peak Input Voltage 3 Phase Half Converter*(cos(Delay Angle of 3 Phase Half Converter)))/(2*pi)

RMS Output Voltage of Three-Phase Full Converter

Go RMS Output Voltage 3 Phase Full Converter = ((6)^0.5)*Peak Input Voltage 3 Phase Full Converter*((0.25+0.65*(cos(2*Delay Angle of 3 Phase Full Converter))/pi)^0.5)

Average Output Voltage of Single Phase Thyristor Converter with Resistive Load

Go Average Voltage Thyristor Converter = (Peak Input Voltage Thyristor Converter/(2*pi))*(1+cos(Delay Angle of Thyristor Converter))

Average Output Voltage for Three-Phase Converter

Go Average Voltage 3 Phase Full Converter = (2*Peak Phase Voltage Full Converter*cos(Delay Angle of 3 Phase Full Converter/2))/pi

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

Average Output Voltage of Single Phase Semi-Converter with Highly Inductive Load

Go Average Voltage Semi Converter = (Maximum Input Voltage Semi Converter/pi)*(1+cos(Delay Angle Semi Converter))

Average Load Current of Three Phase Semi-Current

Go Load Current 3 Phase Semi Converter = Average Voltage 3 Phase Semi Converter/Resistance 3 Phase Semi Converter

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

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 E_dc 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 (E_m), Number of Pulse in Half-cycle of PWM (p), Excitation Angle (α_k) & Symmetrical Angle (β_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 E_dc = (E_m/pi)*sum(x,1,p,(cos(α_k)-cos(β_k))) 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 (E_m), Number of Pulse in Half-cycle of PWM (p), Excitation Angle (α_k) & Symmetrical Angle (β_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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