Distortion Power Factor for Constant Load Current Solution

STEP 0: Pre-Calculation Summary
Formula Used
Distortion Power Factor Semi Converter = (0.9*(cos(Delay Angle Semi Converter/2)))/(((180-Delay Angle Semi Converter)/180)^0.5)
cosΦdistort = (0.9*(cos(α(semi)/2)))/(((180-α(semi))/180)^0.5)
This formula uses 1 Functions, 2 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
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.
Delay Angle Semi Converter - (Measured in Radian) - Delay Angle Semi Converter refers to the angle at which the thyristor is triggered to start conducting current in semi converter based circuit.
STEP 1: Convert Input(s) to Base Unit
Delay Angle Semi Converter: 70.1 Degree --> 1.22347580564779 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
cosΦdistort = (0.9*(cos(α(semi)/2)))/(((180-α(semi))/180)^0.5) --> (0.9*(cos(1.22347580564779/2)))/(((180-1.22347580564779)/180)^0.5)
Evaluating ... ...
cosΦdistort = 0.73930291080342
STEP 3: Convert Result to Output's Unit
0.73930291080342 --> No Conversion Required
FINAL ANSWER
0.73930291080342 0.739303 <-- Distortion Power Factor Semi Converter
(Calculation completed in 00.004 seconds)

Credits

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Created by Devyaani Garg
Shiv Nadar University (SNU), Greater Noida
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Verified by Nikita Suryawanshi
Vellore Institute of Technology (VIT), Vellore
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Single Phase Semi Converter Calculators

RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load
​ LaTeX ​ Go RMS Output Voltage Semi Converter = (Maximum Input Voltage Semi Converter/(2^0.5))*((180-Delay Angle Semi Converter)/180+(0.5/pi)*sin(2*Delay Angle Semi Converter))^0.5
Average Output Voltage of Single Phase Semi-Converter with Highly Inductive Load
​ LaTeX ​ Go Average Voltage Semi Converter = (Maximum Input Voltage Semi Converter/pi)*(1+cos(Delay Angle Semi Converter))
Maximum Output Voltage of Single Phase Semi-Converter with Highly Inductive Load
​ LaTeX ​ Go Peak Output Voltage Semi Converter = (2*Maximum Input Voltage Semi Converter)/pi
Displacement Power Factor for Constant Load Current
​ LaTeX ​ Go Displacement Power Factor Semi Converter = cos(Delay Angle Semi Converter/2)

Distortion Power Factor for Constant Load Current Formula

​LaTeX ​Go
Distortion Power Factor Semi Converter = (0.9*(cos(Delay Angle Semi Converter/2)))/(((180-Delay Angle Semi Converter)/180)^0.5)
cosΦdistort = (0.9*(cos(α(semi)/2)))/(((180-α(semi))/180)^0.5)

What is the physical significance of power factor?

The significance of power factor lies in the fact that utility companies supply customers with volt-amperes, but bill them for watts. Power factors below 1.0 require a utility to generate more than the minimum volt-amperes necessary to supply the real power (watts).

How to Calculate Distortion Power Factor for Constant Load Current?

Distortion Power Factor for Constant Load Current calculator uses Distortion Power Factor Semi Converter = (0.9*(cos(Delay Angle Semi Converter/2)))/(((180-Delay Angle Semi Converter)/180)^0.5) to calculate 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 cosΦdistort symbol.

How to calculate Distortion Power Factor for Constant Load Current using this online calculator? To use this online calculator for Distortion Power Factor for Constant Load Current, enter Delay Angle Semi Converter (semi)) and hit the calculate button. Here is how the Distortion Power Factor for Constant Load Current calculation can be explained with given input values -> 0.739752 = (0.9*(cos(1.22347580564779/2)))/(((180-1.22347580564779)/180)^0.5).

FAQ

What is Distortion Power Factor for Constant Load Current?
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 and is represented as cosΦdistort = (0.9*(cos(α(semi)/2)))/(((180-α(semi))/180)^0.5) or Distortion Power Factor Semi Converter = (0.9*(cos(Delay Angle Semi Converter/2)))/(((180-Delay Angle Semi Converter)/180)^0.5). Delay Angle Semi Converter refers to the angle at which the thyristor is triggered to start conducting current in semi converter based circuit.
How to calculate Distortion Power Factor for Constant Load Current?
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 is calculated using Distortion Power Factor Semi Converter = (0.9*(cos(Delay Angle Semi Converter/2)))/(((180-Delay Angle Semi Converter)/180)^0.5). To calculate Distortion Power Factor for Constant Load Current, you need Delay Angle Semi Converter (semi)). With our tool, you need to enter the respective value for Delay Angle Semi Converter and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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