RMS Value of Thyristor Current in Half Wave Converter Drives Solution

STEP 0: Pre-Calculation Summary
Formula Used
RMS of Source Current = Armature Current*((pi-Delay Angle of Thyristor)/(2*pi))^(1/2)
Isr = Ia*((pi-α)/(2*pi))^(1/2)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
RMS of Source Current - (Measured in Ampere) - RMS of Source Current is a measure of the effective value of the current, and is used to calculate the power dissipated in a resistor.
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
Isr = Ia*((pi-α)/(2*pi))^(1/2) --> 30*((pi-1.2217304763958)/(2*pi))^(1/2)
Evaluating ... ...
Isr = 16.583123951778
STEP 3: Convert Result to Output's Unit
16.583123951778 Ampere --> No Conversion Required
FINAL ANSWER
16.583123951778 16.58312 Ampere <-- RMS of Source Current
(Calculation completed in 00.004 seconds)

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Single Phase Drives Calculators

Average Armature Voltage of Single Phase Half-Wave Converter Drive
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Full Drive Armature Voltage = (2*Peak Input Voltage*cos(Delay Angle of Thyristor))/pi
Average Field Voltage of Single Phase Semi-Converter Drives
​ LaTeX ​ Go Semi Drive Field Voltage = (Peak Input Voltage/pi)*(1+cos(Delay Angle of Thyristor))

RMS Value of Thyristor Current in Half Wave Converter Drives Formula

​LaTeX ​Go
RMS of Source Current = Armature Current*((pi-Delay Angle of Thyristor)/(2*pi))^(1/2)
Isr = Ia*((pi-α)/(2*pi))^(1/2)

What is RMS Value of Thyristor Current in Half Wave Converter Drives ?

The RMS value of thyristor current in half-wave converter drives is the square root of the mean of the squares of the instantaneous values of the current over a period of time. It is a measure of the effective value of the current, and is used to calculate the power dissipated in the thyristor and the heat sink requirements.It is important to note that the RMS value of thyristor current is always less than the peak value of thyristor current. This is because the thyristor current is not a sinusoidal waveform. Half-wave converter drives are used in a variety of applications, such as DC motor control, battery charging, and lighting control.

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

RMS Value of Thyristor Current in Half Wave Converter Drives calculator uses RMS of Source Current = Armature Current*((pi-Delay Angle of Thyristor)/(2*pi))^(1/2) to calculate the RMS of Source Current, RMS Value of Thyristor Current in Half Wave Converter Drives the thyristor operates in a half-wave mode, meaning it conducts for only a portion of the AC input voltage waveform. The RMS value of the current is important to calculate the average power and to determine the appropriate ratings for the thyristor and other components in the converter circuit. RMS of Source Current is denoted by Isr symbol.

How to calculate RMS Value of Thyristor Current in Half Wave Converter Drives using this online calculator? To use this online calculator for RMS Value of Thyristor 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 Thyristor Current in Half Wave Converter Drives calculation can be explained with given input values -> 16.58312 = 30*((pi-1.2217304763958)/(2*pi))^(1/2).

FAQ

What is RMS Value of Thyristor Current in Half Wave Converter Drives?
RMS Value of Thyristor Current in Half Wave Converter Drives the thyristor operates in a half-wave mode, meaning it conducts for only a portion of the AC input voltage waveform. The RMS value of the current is important to calculate the average power and to determine the appropriate ratings for the thyristor and other components in the converter circuit and is represented as Isr = Ia*((pi-α)/(2*pi))^(1/2) or RMS of Source Current = Armature Current*((pi-Delay Angle of Thyristor)/(2*pi))^(1/2). 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 Thyristor Current in Half Wave Converter Drives?
RMS Value of Thyristor Current in Half Wave Converter Drives the thyristor operates in a half-wave mode, meaning it conducts for only a portion of the AC input voltage waveform. The RMS value of the current is important to calculate the average power and to determine the appropriate ratings for the thyristor and other components in the converter circuit is calculated using RMS of Source Current = Armature Current*((pi-Delay Angle of Thyristor)/(2*pi))^(1/2). To calculate RMS Value of Thyristor 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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