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

STEP 0: Pre-Calculation Summary
Formula Used
RMS Freewheeling Diode Current = Armature Current*sqrt((pi+Delay Angle of Thyristor)/(2*pi))
Ifdr = Ia*sqrt((pi+α)/(2*pi))
This formula uses 1 Constants, 1 Functions, 3 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)
Variables Used
RMS Freewheeling Diode Current - (Measured in Ampere) - 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.
Armature Current - (Measured in Ampere) - 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.
Delay Angle of Thyristor - (Measured in Radian) - Delay Angle of Thyristor is the angle at which thyristors are triggered after zero crossing.
STEP 1: Convert Input(s) to Base Unit
Armature Current: 30 Ampere --> 30 Ampere No Conversion Required
Delay Angle of Thyristor: 70 Degree --> 1.2217304763958 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ifdr = Ia*sqrt((pi+α)/(2*pi)) --> 30*sqrt((pi+1.2217304763958)/(2*pi))
Evaluating ... ...
Ifdr = 24.9999999999993
STEP 3: Convert Result to Output's Unit
24.9999999999993 Ampere --> No Conversion Required
FINAL ANSWER
24.9999999999993 25 Ampere <-- RMS Freewheeling Diode Current
(Calculation completed in 00.020 seconds)

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Vellore Institute of Technology (VIT), Vellore
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RMS Value of Freewheeling Diode Current in Half Wave Converter Drives Formula

​LaTeX ​Go
RMS Freewheeling Diode Current = Armature Current*sqrt((pi+Delay Angle of Thyristor)/(2*pi))
Ifdr = Ia*sqrt((pi+α)/(2*pi))

What is use of freewheeling diode?

Freewheeling diode is a diode that is connected across an inductor to eliminate the flyback. Flyback is a brief spike in voltage that happens across an inductive load when the supply current is cut off or reduced suddenly. The switches built within the circuits will be harmed by this voltage spike.

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

RMS Value of Freewheeling Diode Current in Half Wave Converter Drives calculator uses RMS Freewheeling Diode Current = Armature Current*sqrt((pi+Delay Angle of Thyristor)/(2*pi)) to calculate 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 Ifdr symbol.

How to calculate RMS Value of Freewheeling Diode Current in Half Wave Converter Drives using this online calculator? To use this online calculator for RMS Value of Freewheeling Diode Current in Half Wave Converter Drives, enter Armature Current (Ia) & Delay Angle of Thyristor (α) and hit the calculate button. Here is how the RMS Value of Freewheeling Diode Current in Half Wave Converter Drives calculation can be explained with given input values -> 25 = 30*sqrt((pi+1.2217304763958)/(2*pi)).

FAQ

What is RMS Value of Freewheeling Diode Current in Half Wave Converter Drives?
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 and is represented as Ifdr = Ia*sqrt((pi+α)/(2*pi)) or RMS Freewheeling Diode Current = Armature Current*sqrt((pi+Delay Angle of Thyristor)/(2*pi)). 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 & Delay Angle of Thyristor is the angle at which thyristors are triggered after zero crossing.
How to calculate RMS Value of Freewheeling Diode Current in Half Wave Converter Drives?
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 is calculated using RMS Freewheeling Diode Current = Armature Current*sqrt((pi+Delay Angle of Thyristor)/(2*pi)). To calculate RMS Value of Freewheeling Diode Current in Half Wave Converter Drives, you need Armature Current (Ia) & Delay Angle of Thyristor (α). With our tool, you need to enter the respective value for Armature Current & Delay Angle of Thyristor 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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