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RMS Value of Freewheeling Diode Current in Half Wave Converter Drives Formula

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RMS Freewheeling Diode Current is the equivalent freewheeling diode DC current that would produce the same power dissipation in a resistive load as the AC current. Check FAQs

I fdr = I a \cdot \sqrt{\frac{π + α}{2 \cdot π}}

I_fdr - RMS Freewheeling Diode Current?I_a - Armature Current?α - Delay Angle of Thyristor?π - Archimedes' constant?

RMS Value of Freewheeling Diode Current in Half Wave Converter Drives Example

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Here is how the RMS Value of Freewheeling Diode Current in Half Wave Converter Drives equation looks like with Values.

Here is how the RMS Value of Freewheeling Diode Current in Half Wave Converter Drives equation looks like with Units.

Here is how the RMS Value of Freewheeling Diode Current in Half Wave Converter Drives equation looks like.

25 = 30 \cdot \sqrt{\frac{3.1416 + 70}{2 \cdot 3.1416}}

25A = 30A \cdot \sqrt{\frac{3.1416 + 70°}{2 \cdot 3.1416}}

25 = 30 \cdot \sqrt{\frac{3.1416 + 70}{2 \cdot 3.1416}}

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RMS Value of Freewheeling Diode Current in Half Wave Converter Drives Solution

Follow our step by step solution on how to calculate RMS Value of Freewheeling Diode Current in Half Wave Converter Drives?

FIRST Step Consider the formula

I fdr = I a \cdot \sqrt{\frac{π + α}{2 \cdot π}}

Next Step Substitute values of Variables

∴

I fdr = 30A \cdot \sqrt{\frac{π + 70°}{2 \cdot π}}

Next Step Substitute values of Constants

∴

I fdr = 30A \cdot \sqrt{\frac{3.1416 + 70°}{2 \cdot 3.1416}}

Next Step Convert Units

∴

I fdr = 30A \cdot \sqrt{\frac{3.1416 + 1.2217rad}{2 \cdot 3.1416}}

Next Step Prepare to Evaluate

∴

I fdr = 30 \cdot \sqrt{\frac{3.1416 + 1.2217}{2 \cdot 3.1416}}

Next Step Evaluate

∴

I fdr = 24.9999999999993A

LAST Step Rounding Answer

∴

I fdr = 25A

RMS Value of Freewheeling Diode Current in Half Wave Converter Drives Formula Elements

Variables

Constants

Functions

RMS Freewheeling Diode Current

RMS Freewheeling Diode Current is the equivalent freewheeling diode DC current that would produce the same power dissipation in a resistive load as the AC current.

Symbol: I_fdr

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find RMS Freewheeling Diode Current

Armature Current

Armature current is the current that flows through the armature of an electrical machine.The armature is the rotating part of the machine, and it contains the windings that generate.

Symbol: I_a

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Armature Current

Delay Angle of Thyristor

Delay Angle of Thyristor is the angle at which thyristors are triggered after zero crossing.

Symbol: α

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Delay Angle of Thyristor

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)

Other formulas in Single Phase Drives category

Go Average Armature Voltage of Single Phase Half-Wave Converter Drive

V a(half) = \frac{V m}{2 \cdot π} \cdot (1 + \cos (α))

Go Average Field Voltage of Single Phase Semi-Converter Drives

V f(semi) = (\frac{V m}{π}) \cdot (1 + \cos (α))

Go Average Armature Voltage of Single Phase Full-Converter Drives

V a(full) = \frac{2 \cdot V m \cdot \cos (α)}{π}

Go RMS Value of Thyristor Current in Half Wave Converter Drives

I sr = I a \cdot {(\frac{π - α}{2 \cdot π})}^{\frac{1}{2}}

How to Evaluate RMS Value of Freewheeling Diode Current in Half Wave Converter Drives?

RMS Value of Freewheeling Diode Current in Half Wave Converter Drives evaluator uses RMS Freewheeling Diode Current = Armature Current*sqrt((pi+Delay Angle of Thyristor)/(2*pi)) to evaluate the RMS Freewheeling Diode Current, The RMS Value of Freewheeling Diode Current in Half Wave Converter Drives formula is defined as is a measure of the effective current flowing through the diode during its conduction period. It quantifies the equivalent DC current that would produce the same power dissipation in the diode. RMS Freewheeling Diode Current is denoted by I_fdr symbol.

How to evaluate RMS Value of Freewheeling Diode Current in Half Wave Converter Drives using this online evaluator? To use this online evaluator for RMS Value of Freewheeling Diode Current in Half Wave Converter Drives, enter Armature Current (I_a) & Delay Angle of Thyristor (α) and hit the calculate button.

FAQs on RMS Value of Freewheeling Diode Current in Half Wave Converter Drives

What is the formula to find RMS Value of Freewheeling Diode Current in Half Wave Converter Drives?

The formula of RMS Value of Freewheeling Diode Current in Half Wave Converter Drives is expressed as RMS Freewheeling Diode Current = Armature Current*sqrt((pi+Delay Angle of Thyristor)/(2*pi)). Here is an example- 25 = 30*sqrt((pi+1.2217304763958)/(2*pi)).

How to calculate RMS Value of Freewheeling Diode Current in Half Wave Converter Drives?

With Armature Current (I_a) & Delay Angle of Thyristor (α) we can find RMS Value of Freewheeling Diode Current in Half Wave Converter Drives using the formula - RMS Freewheeling Diode Current = Armature Current*sqrt((pi+Delay Angle of Thyristor)/(2*pi)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the RMS Value of Freewheeling Diode Current in Half Wave Converter Drives be negative?

Yes, the RMS Value of Freewheeling Diode Current in Half Wave Converter Drives, measured in Electric Current can be negative.

Which unit is used to measure RMS Value of Freewheeling Diode Current in Half Wave Converter Drives?

RMS Value of Freewheeling Diode Current in Half Wave Converter Drives is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which RMS Value of Freewheeling Diode Current in Half Wave Converter Drives can be measured.

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