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Distortion Power Factor for Constant Load Current Formula

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Distortion Power Factor Semi Converter is a measure of how much the harmonic distortion of a load current decreases the average power transferred to the load. Check FAQs

cosΦ distort = \frac{0.9 \cdot (\cos (\frac{α (semi)}{2}))}{{(\frac{180 - α (semi)}{180})}^{0.5}}

cosΦ_distort - Distortion Power Factor Semi Converter?α_(semi) - Delay Angle Semi Converter?

Distortion Power Factor for Constant Load Current Example

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Here is how the Distortion Power Factor for Constant Load Current equation looks like with Values.

Here is how the Distortion Power Factor for Constant Load Current equation looks like with Units.

Here is how the Distortion Power Factor for Constant Load Current equation looks like.

0.7393 = \frac{0.9 \cdot (\cos (\frac{70.1}{2}))}{{(\frac{180 - 70.1}{180})}^{0.5}}

0.7393 = \frac{0.9 \cdot (\cos (\frac{70.1°}{2}))}{{(\frac{180 - 70.1°}{180})}^{0.5}}

0.7393 = \frac{0.9 \cdot (\cos (\frac{70.1}{2}))}{{(\frac{180 - 70.1}{180})}^{0.5}}

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Distortion Power Factor for Constant Load Current Solution

Follow our step by step solution on how to calculate Distortion Power Factor for Constant Load Current?

FIRST Step Consider the formula

cosΦ distort = \frac{0.9 \cdot (\cos (\frac{α (semi)}{2}))}{{(\frac{180 - α (semi)}{180})}^{0.5}}

Next Step Substitute values of Variables

∴

cosΦ distort = \frac{0.9 \cdot (\cos (\frac{70.1°}{2}))}{{(\frac{180 - 70.1°}{180})}^{0.5}}

Next Step Convert Units

∴

cosΦ distort = \frac{0.9 \cdot (\cos (\frac{1.2235rad}{2}))}{{(\frac{180 - 1.2235rad}{180})}^{0.5}}

Next Step Prepare to Evaluate

∴

cosΦ distort = \frac{0.9 \cdot (\cos (\frac{1.2235}{2}))}{{(\frac{180 - 1.2235}{180})}^{0.5}}

Next Step Evaluate

∴

cosΦ distort = 0.73930291080342

LAST Step Rounding Answer

∴

cosΦ distort = 0.7393

Distortion Power Factor for Constant Load Current Formula Elements

Variables

Functions

Distortion Power Factor Semi Converter

Distortion Power Factor Semi Converter is a measure of how much the harmonic distortion of a load current decreases the average power transferred to the load.

Symbol: cosΦ_distort

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Distortion Power Factor Semi Converter

Delay Angle Semi Converter

Delay Angle Semi Converter refers to the angle at which the thyristor is triggered to start conducting current in semi converter based circuit.

Symbol: α_(semi)

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Delay Angle Semi Converter

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 Single Phase Semi Converter category

Go Average Output Voltage of Single Phase Semi-Converter with Highly Inductive Load

V avg(semi) = (\frac{V m(semi)}{π}) \cdot (1 + \cos (α (semi)))

Go Maximum Output Voltage of Single Phase Semi-Converter with Highly Inductive Load

V om(semi) = \frac{2 \cdot V m(semi)}{π}

Go RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load

V rms(semi) = (\frac{V m(semi)}{2^{0.5}}) \cdot {(\frac{180 - α (semi)}{180} + (\frac{0.5}{π}) \cdot \sin (2 \cdot α (semi)))}^{0.5}

Go Displacement Power Factor for Constant Load Current

cosΦ disp(semi)t = \cos (\frac{α (semi)}{2})

How to Evaluate Distortion Power Factor for Constant Load Current?

Distortion Power Factor for Constant Load Current evaluator uses Distortion Power Factor Semi Converter = (0.9*(cos(Delay Angle Semi Converter/2)))/(((180-Delay Angle Semi Converter)/180)^0.5) to evaluate the Distortion Power Factor Semi Converter, The Distortion power factor for constant load current formula is defined as a measure of how much the harmonic distortion of a load current decreases the average power transferred to the load. In the given case, the load current of the semi-converter is considered to be constant. Distortion Power Factor Semi Converter is denoted by cosΦ_distort symbol.

How to evaluate Distortion Power Factor for Constant Load Current using this online evaluator? To use this online evaluator for Distortion Power Factor for Constant Load Current, enter Delay Angle Semi Converter (α_(semi)) and hit the calculate button.

FAQs on Distortion Power Factor for Constant Load Current

What is the formula to find Distortion Power Factor for Constant Load Current?

The formula of Distortion Power Factor for Constant Load Current is expressed as Distortion Power Factor Semi Converter = (0.9*(cos(Delay Angle Semi Converter/2)))/(((180-Delay Angle Semi Converter)/180)^0.5). Here is an example- 0.739752 = (0.9*(cos(1.22347580564779/2)))/(((180-1.22347580564779)/180)^0.5).

How to calculate Distortion Power Factor for Constant Load Current?

With Delay Angle Semi Converter (α_(semi)) we can find Distortion Power Factor for Constant Load Current using the formula - Distortion Power Factor Semi Converter = (0.9*(cos(Delay Angle Semi Converter/2)))/(((180-Delay Angle Semi Converter)/180)^0.5). This formula also uses Cosine (cos) function(s).

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