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RMS Value of Thyristor Current in Half Wave Converter Drives Formula

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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. Check FAQs

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

I_sr - RMS of Source Current?I_a - Armature Current?α - Delay Angle of Thyristor?π - Archimedes' constant?

RMS Value of Thyristor Current in Half Wave Converter Drives Example

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

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

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

16.5831 = 30 \cdot {(\frac{3.1416 - 70}{2 \cdot 3.1416})}^{\frac{1}{2}}

16.5831A = 30A \cdot {(\frac{3.1416 - 70°}{2 \cdot 3.1416})}^{\frac{1}{2}}

16.5831 = 30 \cdot {(\frac{3.1416 - 70}{2 \cdot 3.1416})}^{\frac{1}{2}}

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RMS Value of Thyristor Current in Half Wave Converter Drives Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I sr = 30A \cdot {(\frac{π - 70°}{2 \cdot π})}^{\frac{1}{2}}

Next Step Substitute values of Constants

∴

I sr = 30A \cdot {(\frac{3.1416 - 70°}{2 \cdot 3.1416})}^{\frac{1}{2}}

Next Step Convert Units

∴

I sr = 30A \cdot {(\frac{3.1416 - 1.2217rad}{2 \cdot 3.1416})}^{\frac{1}{2}}

Next Step Prepare to Evaluate

∴

I sr = 30 \cdot {(\frac{3.1416 - 1.2217}{2 \cdot 3.1416})}^{\frac{1}{2}}

Next Step Evaluate

∴

I sr = 16.583123951778A

LAST Step Rounding Answer

∴

I sr = 16.5831A

RMS Value of Thyristor Current in Half Wave Converter Drives Formula Elements

Variables

Constants

RMS of Source Current

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.

Symbol: I_sr

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find RMS of Source 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

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 Freewheeling Diode Current in Half Wave Converter Drives

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

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

RMS Value of Thyristor Current in Half Wave Converter Drives evaluator uses RMS of Source Current = Armature Current*((pi-Delay Angle of Thyristor)/(2*pi))^(1/2) to evaluate 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 I_sr symbol.

How to evaluate RMS Value of Thyristor Current in Half Wave Converter Drives using this online evaluator? To use this online evaluator for RMS Value of Thyristor 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 Thyristor Current in Half Wave Converter Drives

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

The formula of RMS Value of Thyristor Current in Half Wave Converter Drives is expressed as RMS of Source Current = Armature Current*((pi-Delay Angle of Thyristor)/(2*pi))^(1/2). Here is an example- 16.58312 = 30*((pi-1.2217304763958)/(2*pi))^(1/2).

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

With Armature Current (I_a) & Delay Angle of Thyristor (α) we can find RMS Value of Thyristor Current in Half Wave Converter Drives using the formula - RMS of Source Current = Armature Current*((pi-Delay Angle of Thyristor)/(2*pi))^(1/2). This formula also uses Archimedes' constant .

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

No, the RMS Value of Thyristor Current in Half Wave Converter Drives, measured in Electric Current cannot be negative.

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

RMS Value of Thyristor 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 Thyristor Current in Half Wave Converter Drives can be measured.

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