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

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Average Load Voltage in half wave is defined as the voltage between two terminals of load. Check FAQs

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}))

V_L(half) - Average Load Voltage in Half Wave?V_o(max) - Maximum Output Voltage?α_d - Trigger Angle in Degree?β_d - Extinction Angle?E_b - Back EMF?θ_r - Diode Turn On Angle Radians?α_r - Trigger Angle in Radians?π - Archimedes' constant?

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

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

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

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

15.7056 = (\frac{21}{2 \cdot 3.1416}) \cdot (\cos (45) + \cos (180)) + (\frac{20}{2}) \cdot (1 + (\frac{1.26 + 0.84}{3.1416}))

15.7056V = (\frac{21V}{2 \cdot 3.1416}) \cdot (\cos (45°) + \cos (180°)) + (\frac{20V}{2}) \cdot (1 + (\frac{1.26rad + 0.84rad}{3.1416}))

15.7056 = (\frac{21}{2 \cdot 3.1416}) \cdot (\cos (45) + \cos (180)) + (\frac{20}{2}) \cdot (1 + (\frac{1.26 + 0.84}{3.1416}))

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

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

FIRST Step Consider the formula

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}))

Next Step Substitute values of Variables

∴

V L(half) = (\frac{21V}{2 \cdot π}) \cdot (\cos (45°) + \cos (180°)) + (\frac{20V}{2}) \cdot (1 + (\frac{1.26rad + 0.84rad}{π}))

Next Step Substitute values of Constants

∴

V L(half) = (\frac{21V}{2 \cdot 3.1416}) \cdot (\cos (45°) + \cos (180°)) + (\frac{20V}{2}) \cdot (1 + (\frac{1.26rad + 0.84rad}{3.1416}))

Next Step Convert Units

∴

V L(half) = (\frac{21V}{2 \cdot 3.1416}) \cdot (\cos (0.7854rad) + \cos (3.1416rad)) + (\frac{20V}{2}) \cdot (1 + (\frac{1.26rad + 0.84rad}{3.1416}))

Next Step Prepare to Evaluate

∴

V L(half) = (\frac{21}{2 \cdot 3.1416}) \cdot (\cos (0.7854) + \cos (3.1416)) + (\frac{20}{2}) \cdot (1 + (\frac{1.26 + 0.84}{3.1416}))

Next Step Evaluate

∴

V L(half) = 15.7055841348426V

LAST Step Rounding Answer

∴

V L(half) = 15.7056V

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

Variables

Constants

Functions

Average Load Voltage in Half Wave

Average Load Voltage in half wave is defined as the voltage between two terminals of load.

Symbol: V_L(half)

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Average Load 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

Back EMF

Back EMF is defined as the emf that opposes the cause of current.

Symbol: E_b

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Back EMF

Diode Turn On Angle Radians

Diode turn on angle radians is the angle beyond which the diode of a rectifier with emf at the load starts conducting.

Symbol: θ_r

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Diode Turn On Angle Radians

Trigger Angle in Radians

Trigger Angle in Radians is defined as the firing angle of a thyristor in radians.

Symbol: α_r

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Trigger Angle in Radians

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 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 Average Voltage of Half Wave Thyristor Rectifier with RL Load

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

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

Average Load Voltage of Half Wave Thyristor Rectifier with RLE Load evaluator uses Average Load Voltage in Half Wave = (Maximum Output Voltage/(2*pi))*(cos(Trigger Angle in Degree)+cos(Extinction Angle))+(Back EMF/2)*(1+((Diode Turn On Angle Radians+Trigger Angle in Radians)/pi)) to evaluate the Average Load Voltage in Half Wave, The Average load voltage of Half Wave Thyristor Rectifier with RLE load formula gives the average output voltage. Here back emf refers to E. Generally, RLE load models motor load. Average Load Voltage in Half Wave is denoted by V_L(half) symbol.

How to evaluate Average Load Voltage of Half Wave Thyristor Rectifier with RLE Load using this online evaluator? To use this online evaluator for Average Load Voltage of Half Wave Thyristor Rectifier with RLE Load, enter Maximum Output Voltage (V_o(max)), Trigger Angle in Degree (α_d), Extinction Angle (β_d), Back EMF (E_b), Diode Turn On Angle Radians (θ_r) & Trigger Angle in Radians (α_r) and hit the calculate button.

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

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

The formula of Average Load Voltage of Half Wave Thyristor Rectifier with RLE Load is expressed as Average Load Voltage in Half Wave = (Maximum Output Voltage/(2*pi))*(cos(Trigger Angle in Degree)+cos(Extinction Angle))+(Back EMF/2)*(1+((Diode Turn On Angle Radians+Trigger Angle in Radians)/pi)). Here is an example- 15.70558 = (21/(2*pi))*(cos(0.785398163397301)+cos(3.1415926535892))+(20/2)*(1+((1.26+0.84)/pi)).

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

With Maximum Output Voltage (V_o(max)), Trigger Angle in Degree (α_d), Extinction Angle (β_d), Back EMF (E_b), Diode Turn On Angle Radians (θ_r) & Trigger Angle in Radians (α_r) we can find Average Load Voltage of Half Wave Thyristor Rectifier with RLE Load using the formula - Average Load Voltage in Half Wave = (Maximum Output Voltage/(2*pi))*(cos(Trigger Angle in Degree)+cos(Extinction Angle))+(Back EMF/2)*(1+((Diode Turn On Angle Radians+Trigger Angle in Radians)/pi)). This formula also uses Archimedes' constant and Cosine (cos) function(s).

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

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

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

Average Load Voltage of Half Wave Thyristor Rectifier with RLE 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 Load Voltage of Half Wave Thyristor Rectifier with RLE Load can be measured.

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

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

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

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

Other formulas in Half Wave Controlled Rectifiers category

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

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

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