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Average Voltage of Half Wave Thyristor Rectifier with RL Load Formula

GoAverage Output Voltage of Half Wave Controlled Rectifier with R Load Formula

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Average Output Voltage in Half Wave gives the average value of output voltage. Check FAQs

V avg(half) = (\frac{V o(max)}{2 \cdot π}) \cdot (\cos (α d) - \cos (β d))

V_avg(half) - Average Output Voltage in Half Wave?V_o(max) - Maximum Output Voltage?α_d - Trigger Angle in Degree?β_d - Extinction Angle?π - Archimedes' constant?

Average Voltage of Half Wave Thyristor Rectifier with RL Load Example

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Here is how the Average Voltage of Half Wave Thyristor Rectifier with RL Load equation looks like with Values.

Here is how the Average Voltage of Half Wave Thyristor Rectifier with RL Load equation looks like with Units.

Here is how the Average Voltage of Half Wave Thyristor Rectifier with RL Load equation looks like.

5.7056 = (\frac{21}{2 \cdot 3.1416}) \cdot (\cos (45) - \cos (180))

5.7056V = (\frac{21V}{2 \cdot 3.1416}) \cdot (\cos (45°) - \cos (180°))

5.7056 = (\frac{21}{2 \cdot 3.1416}) \cdot (\cos (45) - \cos (180))

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Average Voltage of Half Wave Thyristor Rectifier with RL Load Solution

Follow our step by step solution on how to calculate Average Voltage of Half Wave Thyristor Rectifier with RL Load?

FIRST Step Consider the formula

V avg(half) = (\frac{V o(max)}{2 \cdot π}) \cdot (\cos (α d) - \cos (β d))

Next Step Substitute values of Variables

∴

V avg(half) = (\frac{21V}{2 \cdot π}) \cdot (\cos (45°) - \cos (180°))

Next Step Substitute values of Constants

∴

V avg(half) = (\frac{21V}{2 \cdot 3.1416}) \cdot (\cos (45°) - \cos (180°))

Next Step Convert Units

∴

V avg(half) = (\frac{21V}{2 \cdot 3.1416}) \cdot (\cos (0.7854rad) - \cos (3.1416rad))

Next Step Prepare to Evaluate

∴

V avg(half) = (\frac{21}{2 \cdot 3.1416}) \cdot (\cos (0.7854) - \cos (3.1416))

Next Step Evaluate

∴

V avg(half) = 5.70558413484255V

LAST Step Rounding Answer

∴

V avg(half) = 5.7056V

Average Voltage of Half Wave Thyristor Rectifier with RL Load Formula Elements

Variables

Constants

Functions

Average Output Voltage in Half Wave

Average Output Voltage in Half Wave gives the average value of output voltage.

Symbol: V_avg(half)

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Average Output Voltage in Half Wave

Maximum Output Voltage

Maximum Output Voltage is the Maximum voltage that can be produced at the output of the converter of any controlled rectifier.

Symbol: V_o(max)

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Maximum Output Voltage

Trigger Angle in Degree

Trigger Angle in Degree it gives the firing angle of thyristor in degree.

Symbol: α_d

Measurement: AngleUnit: °

Note: Value should be less than 181.

Formulas to find Trigger Angle in Degree

Extinction Angle

Extinction Angle in degree gives the value of extinction angle of thyristor in degrees.

Symbol: β_d

Measurement: AngleUnit: °

Note: Value should be greater than 179.

Formulas to find Extinction Angle

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Average Output Voltage in Half Wave

Go Average Output Voltage of Half Wave Controlled Rectifier with R Load

V avg(half) = \frac{V i(max)}{2 \cdot π} \cdot (1 + \cos (α d))

Other formulas in Half Wave Controlled Rectifiers category

Go RMS Output Voltage of Half Wave Thyristor Rectifier with R Load

V rms(half) = \frac{V o(max) \cdot \sqrt{π - α r + (0.5 \cdot \sin (2 \cdot α d))}}{2 \cdot \sqrt{π}}

Go Voltage Ripple Factor of Half Wave Thyristor Rectifier with R Load

RF = \sqrt{{FF}^{2} - 1}

Go Average Load Voltage of Half Wave Thyristor Rectifier with RLE Load

V L(half) = (\frac{V o(max)}{2 \cdot π}) \cdot (\cos (α d) + \cos (β d)) + (\frac{E b}{2}) \cdot (1 + (\frac{θ r + α r}{π}))

Go Turn On Angle of Half Wave Rectifier

θ r = a \sin (\frac{E L}{V i(max)})

How to Evaluate Average Voltage of Half Wave Thyristor Rectifier with RL Load?

Average Voltage of Half Wave Thyristor Rectifier with RL Load evaluator uses Average Output Voltage in Half Wave = (Maximum Output Voltage/(2*pi))*(cos(Trigger Angle in Degree)-cos(Extinction Angle)) to evaluate the Average Output Voltage in Half Wave, The Average voltage of Half Wave Thyristor Rectifier with RL load formula gives the average output voltage for RL load. Average Output Voltage in Half Wave is denoted by V_avg(half) symbol.

How to evaluate Average Voltage of Half Wave Thyristor Rectifier with RL Load using this online evaluator? To use this online evaluator for Average Voltage of Half Wave Thyristor Rectifier with RL Load, enter Maximum Output Voltage (V_o(max)), Trigger Angle in Degree (α_d) & Extinction Angle (β_d) and hit the calculate button.

FAQs on Average Voltage of Half Wave Thyristor Rectifier with RL Load

What is the formula to find Average Voltage of Half Wave Thyristor Rectifier with RL Load?

The formula of Average Voltage of Half Wave Thyristor Rectifier with RL Load is expressed as Average Output Voltage in Half Wave = (Maximum Output Voltage/(2*pi))*(cos(Trigger Angle in Degree)-cos(Extinction Angle)). Here is an example- 5.705584 = (21/(2*pi))*(cos(0.785398163397301)-cos(3.1415926535892)).

How to calculate Average Voltage of Half Wave Thyristor Rectifier with RL Load?

With Maximum Output Voltage (V_o(max)), Trigger Angle in Degree (α_d) & Extinction Angle (β_d) we can find Average Voltage of Half Wave Thyristor Rectifier with RL Load using the formula - Average Output Voltage in Half Wave = (Maximum Output Voltage/(2*pi))*(cos(Trigger Angle in Degree)-cos(Extinction Angle)). This formula also uses Archimedes' constant and Cosine (cos) function(s).

What are the other ways to Calculate Average Output Voltage in Half Wave?

Here are the different ways to Calculate Average Output Voltage in Half Wave-

Average Output Voltage in Half Wave=Peak Input Voltage/(2*pi)*(1+cos(Trigger Angle in Degree))

Can the Average Voltage of Half Wave Thyristor Rectifier with RL Load be negative?

No, the Average Voltage of Half Wave Thyristor Rectifier with RL Load, measured in Electric Potential cannot be negative.

Which unit is used to measure Average Voltage of Half Wave Thyristor Rectifier with RL Load?

Average Voltage of Half Wave Thyristor Rectifier with RL Load is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Average Voltage of Half Wave Thyristor Rectifier with RL Load can be measured.

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