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RMS Supply Current for PWM Control Formula

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Root Mean Square Current is defined as the root mean square of a given current. Check FAQs

I rms = \frac{I a}{\sqrt{π}} \cdot \sqrt{\sum (x, 1, p, (β k - α k))}

I_rms - Root Mean Square Current?I_a - Armature Current?p - Number of Pulse in Half-cycle of PWM?β_k - Symmetrical Angle?α_k - Excitation Angle?π - Archimedes' constant?

RMS Supply Current for PWM Control Example

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Here is how the RMS Supply Current for PWM Control equation looks like with Values.

Here is how the RMS Supply Current for PWM Control equation looks like with Units.

Here is how the RMS Supply Current for PWM Control equation looks like.

1.5556 = \frac{2.2}{\sqrt{3.1416}} \cdot \sqrt{\sum (x, 1, 3, (60 - 30))}

1.5556A = \frac{2.2A}{\sqrt{3.1416}} \cdot \sqrt{\sum (x, 1, 3, (60° - 30°))}

1.5556 = \frac{2.2}{\sqrt{3.1416}} \cdot \sqrt{\sum (x, 1, 3, (60 - 30))}

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RMS Supply Current for PWM Control Solution

Follow our step by step solution on how to calculate RMS Supply Current for PWM Control?

FIRST Step Consider the formula

I rms = \frac{I a}{\sqrt{π}} \cdot \sqrt{\sum (x, 1, p, (β k - α k))}

Next Step Substitute values of Variables

∴

I rms = \frac{2.2A}{\sqrt{π}} \cdot \sqrt{\sum (x, 1, 3, (60° - 30°))}

Next Step Substitute values of Constants

∴

I rms = \frac{2.2A}{\sqrt{3.1416}} \cdot \sqrt{\sum (x, 1, 3, (60° - 30°))}

Next Step Convert Units

∴

I rms = \frac{2.2A}{\sqrt{3.1416}} \cdot \sqrt{\sum (x, 1, 3, (1.0472rad - 0.5236rad))}

Next Step Prepare to Evaluate

∴

I rms = \frac{2.2}{\sqrt{3.1416}} \cdot \sqrt{\sum (x, 1, 3, (1.0472 - 0.5236))}

Next Step Evaluate

∴

I rms = 1.55563491861026A

LAST Step Rounding Answer

∴

I rms = 1.5556A

RMS Supply Current for PWM Control Formula Elements

Variables

Constants

Functions

Root Mean Square Current

Root Mean Square Current is defined as the root mean square of a given current.

Symbol: I_rms

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Root Mean Square Current

Armature Current

Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor.

Symbol: I_a

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Armature Current

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

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

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

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

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.

Syntax: sqrt(Number)

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 RMS Supply Current for PWM Control?

RMS Supply Current for PWM Control evaluator 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 evaluate 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 evaluate RMS Supply Current for PWM Control using this online evaluator? To use this online evaluator 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.

FAQs on RMS Supply Current for PWM Control

What is the formula to find RMS Supply Current for PWM Control?

The formula of RMS Supply Current for PWM Control is expressed as Root Mean Square Current = Armature Current/sqrt(pi)*sqrt(sum(x,1,Number of Pulse in Half-cycle of PWM,(Symmetrical Angle-Excitation Angle))). Here is an example- 1.502886 = 2.2/sqrt(pi)*sqrt(sum(x,1,3,(1.0471975511964-0.5235987755982))).

How to calculate RMS Supply Current for PWM Control?

With Armature Current (I_a), Number of Pulse in Half-cycle of PWM (p), Symmetrical Angle (β_k) & Excitation Angle (α_k) we can find RMS Supply Current for PWM Control using the 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))). This formula also uses Archimedes' constant and , Square Root (sqrt), Summation Notation (sum) function(s).

Can the RMS Supply Current for PWM Control be negative?

No, the RMS Supply Current for PWM Control, measured in Electric Current cannot be negative.

Which unit is used to measure RMS Supply Current for PWM Control?

RMS Supply Current for PWM Control is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which RMS Supply Current for PWM Control can be measured.

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RMS Supply Current for PWM Control Formula

RMS Supply Current for PWM Control Example

RMS Supply Current for PWM Control Solution

RMS Supply Current for PWM Control Formula Elements

Other formulas in Power Converter Characteristics category

How to Evaluate RMS Supply Current for PWM Control?

FAQs on RMS Supply Current for PWM Control

Variable Name