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

✖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.ⓘ Armature Current [I_a]			+10% -10%
✖Delay Angle of Thyristor is the angle at which thyristors are triggered after zero crossing.ⓘ Delay Angle of Thyristor [α]			+10% -10%

✖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.ⓘ RMS Value of Freewheeling Diode Current in Half Wave Converter Drives [I_fdr]

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Formula

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RMS Value of Freewheeling Diode Current in Half Wave Converter Drives

Formula

`"I"_{"fdr"} = "I"_{"a"}*sqrt((pi+"α")/(2*pi))`

Example

`"25A"="30A"*sqrt((pi+"70°")/(2*pi))`

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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))
I_fdr = I_a*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

I_fdr = I_a*sqrt((pi+α)/(2*pi)) --> 30*sqrt((pi+1.2217304763958)/(2*pi))

Evaluating ... ...

I_fdr = 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 00.004 seconds)

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Created by Pratik Kumar Singh

Vellore Institute of Technology (VIT), Vellore

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< 6 Single Phase Drives Calculators

RMS Value of Freewheeling Diode Current in Half Wave Converter Drives

Go RMS Freewheeling Diode Current = Armature Current*sqrt((pi+Delay Angle of Thyristor)/(2*pi))

Average Armature Voltage of Single Phase Half-Wave Converter Drive

Go Half Drive Armature Voltage = Peak Input Voltage/(2*pi)*(1+cos(Delay Angle of Thyristor))

RMS Value of Thyristor Current in Half Wave Converter Drives

Go RMS of Source Current = Armature Current*((pi-Delay Angle of Thyristor)/(2*pi))^(1/2)

Average Armature Voltage of Single Phase Full-Converter Drives

Go Full Drive Armature Voltage = (2*Peak Input Voltage*cos(Delay Angle of Thyristor))/pi

Average Field Voltage of Single Phase Semi-Converter Drives

Go Semi Drive Field Voltage = (Peak Input Voltage/pi)*(1+cos(Delay Angle of Thyristor))

Input Power of Single Phase Full Converter Drives

Go Input Power = ((2*sqrt(2))/pi)*cos(Delay Angle of Thyristor)

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

RMS Freewheeling Diode Current = Armature Current*sqrt((pi+Delay Angle of Thyristor)/(2*pi))
I_fdr = I_a*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 I_fdr 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 (I_a) & 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 I_fdr = I_a*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 (I_a) & 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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