Fundamental Component of Source Current for Constant Load Current Solution

STEP 0: Pre-Calculation Summary
Formula Used
Fundamental Current Component Full Converter = Load Current Full converter/(sqrt(2)*cos(Power Factor Full Converter))
Io(full) = IL(full)/(sqrt(2)*cos(cosΦ(full)))
This formula uses 2 Functions, 3 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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Fundamental Current Component Full Converter - (Measured in Ampere) - Fundamental Current Component Full Converter is the first harmonic of the current in the harmonic analysis of the square wave of source current.
Load Current Full converter - (Measured in Ampere) - Load Current Full converter is defined as the current flowing through the load terminal of a full converter circuit.
Power Factor Full Converter - The Power Factor Full Converter is defined as the ratio of the real power absorbed by the load to the apparent power flowing in a full converter circuit.
STEP 1: Convert Input(s) to Base Unit
Load Current Full converter: 0.5 Ampere --> 0.5 Ampere No Conversion Required
Power Factor Full Converter: 0.818 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Io(full) = IL(full)/(sqrt(2)*cos(cosΦ(full))) --> 0.5/(sqrt(2)*cos(0.818))
Evaluating ... ...
Io(full) = 0.517131241630775
STEP 3: Convert Result to Output's Unit
0.517131241630775 Ampere --> No Conversion Required
FINAL ANSWER
0.517131241630775 0.517131 Ampere <-- Fundamental Current Component Full Converter
(Calculation completed in 00.020 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 Full Converter Calculators

Average DC Output Voltage of Single Phase Full Converter
​ LaTeX ​ Go Average Voltage Full Converter = (2*Maximum DC Output Voltage Full Converter*cos(Firing Angle Full Converter))/pi
Maximum Output DC Voltage of Single Phase Full Converter
​ LaTeX ​ Go Maximum DC Output Voltage Full Converter = (2*Maximum Input Voltage Full Converter)/pi
Apparent Power for Constant Load Current
​ LaTeX ​ Go Apparent Power Full Converter = Load Current Full converter*Load Voltage Full Converter
RMS Output Voltage of Single Phase Full Converter
​ LaTeX ​ Go RMS Output Voltage Full Converter = Maximum Input Voltage Full Converter/(sqrt(2))

Fundamental Component of Source Current for Constant Load Current Formula

​LaTeX ​Go
Fundamental Current Component Full Converter = Load Current Full converter/(sqrt(2)*cos(Power Factor Full Converter))
Io(full) = IL(full)/(sqrt(2)*cos(cosΦ(full)))

How is harmonic analysis useful?

The harmonic is a voltage or current at a multiple of the fundamental frequency of the system, produced by the action of non-linear loads. High levels of Harmonics in the system may lead to overheating component thus causing shorten the life of the equipment, reduced power factors. So, harmonic analysis is needed to use the appropriate harmonics of current or voltage to reduce the overheating problem.

How to Calculate Fundamental Component of Source Current for Constant Load Current?

Fundamental Component of Source Current for Constant Load Current calculator uses Fundamental Current Component Full Converter = Load Current Full converter/(sqrt(2)*cos(Power Factor Full Converter)) to calculate the Fundamental Current Component Full Converter, The Fundamental component of source current for constant load current formula is the first harmonic of the current in the harmonic analysis of the square wave of source current (IS). Fundamental Current Component Full Converter is denoted by Io(full) symbol.

How to calculate Fundamental Component of Source Current for Constant Load Current using this online calculator? To use this online calculator for Fundamental Component of Source Current for Constant Load Current, enter Load Current Full converter (IL(full)) & Power Factor Full Converter (cosΦ(full)) and hit the calculate button. Here is how the Fundamental Component of Source Current for Constant Load Current calculation can be explained with given input values -> 0.517684 = 0.5/(sqrt(2)*cos(0.818)).

FAQ

What is Fundamental Component of Source Current for Constant Load Current?
The Fundamental component of source current for constant load current formula is the first harmonic of the current in the harmonic analysis of the square wave of source current (IS) and is represented as Io(full) = IL(full)/(sqrt(2)*cos(cosΦ(full))) or Fundamental Current Component Full Converter = Load Current Full converter/(sqrt(2)*cos(Power Factor Full Converter)). Load Current Full converter is defined as the current flowing through the load terminal of a full converter circuit & The Power Factor Full Converter is defined as the ratio of the real power absorbed by the load to the apparent power flowing in a full converter circuit.
How to calculate Fundamental Component of Source Current for Constant Load Current?
The Fundamental component of source current for constant load current formula is the first harmonic of the current in the harmonic analysis of the square wave of source current (IS) is calculated using Fundamental Current Component Full Converter = Load Current Full converter/(sqrt(2)*cos(Power Factor Full Converter)). To calculate Fundamental Component of Source Current for Constant Load Current, you need Load Current Full converter (IL(full)) & Power Factor Full Converter (cosΦ(full)). With our tool, you need to enter the respective value for Load Current Full converter & Power Factor Full 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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