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Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD Formula

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

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

V_avg(full) - Average Output Voltage in Full Wave?V_o(max) - Maximum Output Voltage?α_d - Trigger Angle in Degree?π - Archimedes' constant?

Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD Example

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Here is how the Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD equation looks like with Values.

Here is how the Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD equation looks like with Units.

Here is how the Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD equation looks like.

9.4533 = \frac{2 \cdot 21 \cdot \cos (45)}{3.1416}

9.4533V = \frac{2 \cdot 21V \cdot \cos (45°)}{3.1416}

9.4533 = \frac{2 \cdot 21 \cdot \cos (45)}{3.1416}

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Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD Solution

Follow our step by step solution on how to calculate Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V avg(full) = 9.45332131965101V

LAST Step Rounding Answer

∴

V avg(full) = 9.4533V

Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD Formula Elements

Variables

Constants

Functions

Average Output Voltage in Full Wave

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

Symbol: V_avg(full)

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Average Output Voltage in Full 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

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 Full Wave Controlled Rectifiers category

Go RMS Voltage of Full Wave Thyristor Rectifier with R Load

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

Go RMS Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD

V rms(full) = \frac{V o(max)}{\sqrt{2}}

Go Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD

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

Go RMS Output Voltage of Single Phase Full Wave Controlled Rectifier with R Load of FWD

V rms(full) = V i(max) \cdot \sqrt{\frac{1}{2} - \frac{α r}{2 \cdot π} + \frac{\sin (2 \cdot α d)}{4 \cdot π}}

How to Evaluate Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD?

Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD evaluator uses Average Output Voltage in Full Wave = (2*Maximum Output Voltage*cos(Trigger Angle in Degree))/pi to evaluate the Average Output Voltage in Full Wave, The Average voltage of Full Wave Thyristor Rectifier with RL load (CCM) without FWD is used to calculate the average voltage of converter operating in CCM, where β=Π+α . Average Output Voltage in Full Wave is denoted by V_avg(full) symbol.

How to evaluate Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD using this online evaluator? To use this online evaluator for Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD, enter Maximum Output Voltage (V_o(max)) & Trigger Angle in Degree (α_d) and hit the calculate button.

FAQs on Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD

What is the formula to find Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD?

The formula of Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD is expressed as Average Output Voltage in Full Wave = (2*Maximum Output Voltage*cos(Trigger Angle in Degree))/pi. Here is an example- 9.453321 = (2*21*cos(0.785398163397301))/pi.

How to calculate Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD?

With Maximum Output Voltage (V_o(max)) & Trigger Angle in Degree (α_d) we can find Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD using the formula - Average Output Voltage in Full Wave = (2*Maximum Output Voltage*cos(Trigger Angle in Degree))/pi. This formula also uses Archimedes' constant and Cosine (cos) function(s).

Can the Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD be negative?

No, the Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD, measured in Electric Potential cannot be negative.

Which unit is used to measure Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD?

Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD 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 Full Wave Thyristor Rectifier with RL Load (CCM) without FWD can be measured.

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