RMS Supply Current for PWM Control Calculator

✖Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor.ⓘ Armature Current [I_a]			+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%
✖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%
✖Excitation Angle is the angle at which the PWM Converter begins to Produce Output Voltage or Current.ⓘ Excitation Angle [α_k]			+10% -10%

✖Root Mean Square Current is defined as the root mean square of a given current.ⓘ RMS Supply Current for PWM Control [I_rms]

⎘ Copy

👎

Formula

✖

RMS Supply Current for PWM Control

Formula

`"I"_{"rms"} = "I"_{"a"}/sqrt(pi)*sqrt(sum(x,1,"p",("β"_{"k"}-"α"_{"k"})))`

Example

`"1.555635A"="2.2A"/sqrt(pi)*sqrt(sum(x,1,"3",("60.0°"-"30°")))`

Calculator

LaTeX

Reset

👍

Download Power Converter Characteristics Formulas PDF PDF Image

RMS Supply Current for PWM Control Solution

STEP 0: Pre-Calculation Summary

Formula Used

Root Mean Square Current = Armature Current/sqrt(pi)*sqrt(sum(x,1,Number of Pulse in Half-cycle of PWM,(Symmetrical Angle-Excitation Angle)))
I_rms = I_a/sqrt(pi)*sqrt(sum(x,1,p,(β_k-α_k)))
This formula uses 1 Constants, 2 Functions, 5 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

Root Mean Square Current - (Measured in Ampere) - Root Mean Square Current is defined as the root mean square of a given current.
Armature Current - (Measured in Ampere) - Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor.
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.
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.
Excitation Angle - (Measured in Radian) - Excitation Angle is the angle at which the PWM Converter begins to Produce Output Voltage or Current.

STEP 1: Convert Input(s) to Base Unit

Armature Current: 2.2 Ampere --> 2.2 Ampere No Conversion Required
Number of Pulse in Half-cycle of PWM: 3 --> No Conversion Required
Symmetrical Angle: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
Excitation Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_rms = I_a/sqrt(pi)*sqrt(sum(x,1,p,(β_k-α_k))) --> 2.2/sqrt(pi)*sqrt(sum(x,1,3,(1.0471975511964-0.5235987755982)))

Evaluating ... ...

I_rms = 1.55563491861026

STEP 3: Convert Result to Output's Unit

1.55563491861026 Ampere --> No Conversion Required

FINAL ANSWER

1.55563491861026 ≈ 1.555635 Ampere <-- Root Mean Square Current

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power Electronics » Converters » Power Converter Characteristics » RMS Supply Current for PWM Control

Credits

Created by Siddharth Raj

Heritage Institute of Technology ( HITK), Kolkata

Siddharth Raj has created this Calculator and 10+ more calculators!

Verified by banuprakash

Dayananda Sagar College of Engineering (DSCE), Bangalore

banuprakash has verified this Calculator and 25+ more calculators!

< 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))

RMS Supply Current for PWM Control Formula

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

How the RMS Supply Current is Crucial parameter for PWM control converters?

The RMS supply current is a crucial parameter for sizing and rating the input power source, as it represents the effective current level that the power source must be capable of supplying to the PWM converter.
It also influences the power quality of the input supply, as high RMS currents can lead to increased losses, voltage drop, and other undesirable effects in the power distribution system.

How to Calculate RMS Supply Current for PWM Control?

RMS Supply Current for PWM Control calculator uses Root Mean Square Current = Armature Current/sqrt(pi)*sqrt(sum(x,1,Number of Pulse in Half-cycle of PWM,(Symmetrical Angle-Excitation Angle))) to calculate the Root Mean Square Current, RMS Supply Current for PWM Control is defined as the effective or average value of the current drawn from the input power source over a specified period. It accounts for variations in the input current waveform over time, providing a measure of the effective current level flowing into the converter. Root Mean Square Current is denoted by I_rms symbol.

How to calculate RMS Supply Current for PWM Control using this online calculator? To use this online calculator for RMS Supply Current for PWM Control, enter Armature Current (I_a), Number of Pulse in Half-cycle of PWM (p), Symmetrical Angle (β_k) & Excitation Angle (α_k) and hit the calculate button. Here is how the RMS Supply Current for PWM Control calculation can be explained with given input values -> 1.502886 = 2.2/sqrt(pi)*sqrt(sum(x,1,3,(1.0471975511964-0.5235987755982))).

FAQ

What is RMS Supply Current for PWM Control?

RMS Supply Current for PWM Control is defined as the effective or average value of the current drawn from the input power source over a specified period. It accounts for variations in the input current waveform over time, providing a measure of the effective current level flowing into the converter and is represented as I_rms = I_a/sqrt(pi)*sqrt(sum(x,1,p,(β_k-α_k))) or Root Mean Square Current = Armature Current/sqrt(pi)*sqrt(sum(x,1,Number of Pulse in Half-cycle of PWM,(Symmetrical Angle-Excitation Angle))). Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor, 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, Symmetrical Angle is the Angle at which the PWM Converter produces Symmetrical Output Waveforms with respect to the AC Input Waveform & Excitation Angle is the angle at which the PWM Converter begins to Produce Output Voltage or Current.

How to calculate RMS Supply Current for PWM Control?

RMS Supply Current for PWM Control is defined as the effective or average value of the current drawn from the input power source over a specified period. It accounts for variations in the input current waveform over time, providing a measure of the effective current level flowing into the converter is calculated using Root Mean Square Current = Armature Current/sqrt(pi)*sqrt(sum(x,1,Number of Pulse in Half-cycle of PWM,(Symmetrical Angle-Excitation Angle))). To calculate RMS Supply Current for PWM Control, you need Armature Current (I_a), Number of Pulse in Half-cycle of PWM (p), Symmetrical Angle (β_k) & Excitation Angle (α_k). With our tool, you need to enter the respective value for Armature Current, Number of Pulse in Half-cycle of PWM, Symmetrical Angle & Excitation Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search