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Fundamental Supply Current for PWM Control Formula

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Fundamental Supply Current is Defined as the Current Component at the Fundamental Frequency of the Output Waveform. Check FAQs

I S(fund) = (\frac{\sqrt{2} \cdot I a}{π}) \cdot \sum (x, 1, p, (\cos (α k)) - (\cos (β k)))

I_S(fund) - Fundamental Supply Current?I_a - Armature Current?p - Number of Pulse in Half-cycle of PWM?α_k - Excitation Angle?β_k - Symmetrical Angle?π - Archimedes' constant?

Fundamental Supply Current for PWM Control Example

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

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

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

1.0875 = (\frac{\sqrt{2} \cdot 2.2}{3.1416}) \cdot \sum (x, 1, 3, (\cos (30)) - (\cos (60)))

1.0875A = (\frac{\sqrt{2} \cdot 2.2A}{3.1416}) \cdot \sum (x, 1, 3, (\cos (30°)) - (\cos (60°)))

1.0875 = (\frac{\sqrt{2} \cdot 2.2}{3.1416}) \cdot \sum (x, 1, 3, (\cos (30)) - (\cos (60)))

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Fundamental Supply Current for PWM Control Solution

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

FIRST Step Consider the formula

I S(fund) = (\frac{\sqrt{2} \cdot I a}{π}) \cdot \sum (x, 1, p, (\cos (α k)) - (\cos (β k)))

Next Step Substitute values of Variables

∴

I S(fund) = (\frac{\sqrt{2} \cdot 2.2A}{π}) \cdot \sum (x, 1, 3, (\cos (30°)) - (\cos (60°)))

Next Step Substitute values of Constants

∴

I S(fund) = (\frac{\sqrt{2} \cdot 2.2A}{3.1416}) \cdot \sum (x, 1, 3, (\cos (30°)) - (\cos (60°)))

Next Step Convert Units

∴

I S(fund) = (\frac{\sqrt{2} \cdot 2.2A}{3.1416}) \cdot \sum (x, 1, 3, (\cos (0.5236rad)) - (\cos (1.0472rad)))

Next Step Prepare to Evaluate

∴

I S(fund) = (\frac{\sqrt{2} \cdot 2.2}{3.1416}) \cdot \sum (x, 1, 3, (\cos (0.5236)) - (\cos (1.0472)))

Next Step Evaluate

∴

I S(fund) = 1.0874775224114A

LAST Step Rounding Answer

∴

I S(fund) = 1.0875A

Fundamental Supply Current for PWM Control Formula Elements

Variables

Constants

Functions

Fundamental Supply Current

Fundamental Supply Current is Defined as the Current Component at the Fundamental Frequency of the Output Waveform.

Symbol: I_S(fund)

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Fundamental Supply 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

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)

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 Fundamental Supply Current for PWM Control?

Fundamental Supply Current for PWM Control evaluator uses 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))) to evaluate the Fundamental Supply Current, The Fundamental Supply Current for PWM Control is defined as the current component at the fundamental frequency of the output waveform, It represents the effective value of the current flowing from the input power source to the converter. Fundamental Supply Current is denoted by I_S(fund) symbol.

How to evaluate Fundamental Supply Current for PWM Control using this online evaluator? To use this online evaluator for Fundamental Supply Current for PWM Control, enter Armature Current (I_a), Number of Pulse in Half-cycle of PWM (p), Excitation Angle (α_k) & Symmetrical Angle (β_k) and hit the calculate button.

FAQs on Fundamental Supply Current for PWM Control

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

The formula of Fundamental Supply Current for PWM Control is expressed as 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))). Here is an example- 0.998586 = ((sqrt(2)*2.2)/pi)*sum(x,1,3,(cos(0.5235987755982))-(cos(1.0471975511964))).

How to calculate Fundamental Supply Current for PWM Control?

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

Can the Fundamental Supply Current for PWM Control be negative?

Yes, the Fundamental Supply Current for PWM Control, measured in Electric Current can be negative.

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

Fundamental 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 Fundamental Supply Current for PWM Control can be measured.

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Fundamental Supply Current for PWM Control Formula

Fundamental Supply Current for PWM Control Example

Fundamental Supply Current for PWM Control Solution

Fundamental Supply Current for PWM Control Formula Elements

Other formulas in Power Converter Characteristics category

How to Evaluate Fundamental Supply Current for PWM Control?

FAQs on Fundamental Supply Current for PWM Control

Variable Name