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]

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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 00.020 seconds)

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Created by Siddharth Raj

Heritage Institute of Technology ( HITK), Kolkata

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RMS Supply Current for PWM Control Formula

LaTeX 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)))
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.

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