Peak Magnitude of Source Current for Constant Load Current Solution

STEP 0: Pre-Calculation Summary
Formula Used
Source Current Fundamental Comp Semi Converter = (4*Load Current Semi Converter*(cos(Delay Angle Semi Converter)))/pi
Io(semi) = (4*IL(semi)*(cos(α(semi))))/pi
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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
Source Current Fundamental Comp Semi Converter - (Measured in Ampere) - Source Current Fundamental Comp Semi Converter is the first harmonic of the current in the harmonic analysis of the square wave of source current.
Load Current Semi Converter - (Measured in Ampere) - Load Current Semi Converter is defined as the current flowing through the load terminal of a semi converter circuit.
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
Load Current Semi Converter: 3.9 Ampere --> 3.9 Ampere No Conversion Required
Delay Angle Semi Converter: 70.1 Degree --> 1.22347580564779 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Io(semi) = (4*IL(semi)*(cos(α(semi))))/pi --> (4*3.9*(cos(1.22347580564779)))/pi
Evaluating ... ...
Io(semi) = 1.69020034384775
STEP 3: Convert Result to Output's Unit
1.69020034384775 Ampere --> No Conversion Required
FINAL ANSWER
1.69020034384775 1.6902 Ampere <-- Source Current Fundamental Comp Semi Converter
(Calculation completed in 00.020 seconds)

Credits

Created by Devyaani Garg
Shiv Nadar University (SNU), Greater Noida
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Vellore Institute of Technology (VIT), Vellore
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7 Single Phase Semi-converter Calculators

RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load
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
Peak Magnitude of Source Current for Constant Load Current
Go Source Current Fundamental Comp Semi Converter = (4*Load Current Semi Converter*(cos(Delay Angle Semi Converter)))/pi
Average Output Voltage of Single Phase Semi-Converter with Highly Inductive Load
Go Average Voltage Semi Converter = (Maximum Input Voltage Semi Converter/pi)*(1+cos(Delay Angle Semi Converter))
Distortion Power Factor for Constant Load Current
Go Distortion Power Factor Semi Converter = (0.9*(cos(Delay Angle Semi Converter/2)))/(((180-Delay Angle Semi Converter)/180)^0.5)
RMS Value of Source Current for Constant Load Current
Go Source Current Fundamental Comp Semi Converter = Load Current Semi Converter*(((180-Delay Angle Semi Converter)/180)^0.5)
Maximum Output Voltage of Single Phase Semi-Converter with Highly Inductive Load
Go Peak Output Voltage Semi Converter = (2*Maximum Input Voltage Semi Converter)/pi
Displacement Power Factor for Constant Load Current
Go Displacement Power Factor Semi Converter = cos(Delay Angle Semi Converter/2)

Peak Magnitude of Source Current for Constant Load Current Formula

Source Current Fundamental Comp Semi Converter = (4*Load Current Semi Converter*(cos(Delay Angle Semi Converter)))/pi
Io(semi) = (4*IL(semi)*(cos(α(semi))))/pi

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 Peak Magnitude of Source Current for Constant Load Current?

Peak Magnitude of Source Current for Constant Load Current calculator uses Source Current Fundamental Comp Semi Converter = (4*Load Current Semi Converter*(cos(Delay Angle Semi Converter)))/pi to calculate the Source Current Fundamental Comp Semi Converter, The Peak magnitude 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). In the above case, the load current of the semi-converter is considered constant. Source Current Fundamental Comp Semi Converter is denoted by Io(semi) symbol.

How to calculate Peak Magnitude of Source Current for Constant Load Current using this online calculator? To use this online calculator for Peak Magnitude of Source Current for Constant Load Current, enter Load Current Semi Converter (IL(semi)) & Delay Angle Semi Converter (semi)) and hit the calculate button. Here is how the Peak Magnitude of Source Current for Constant Load Current calculation can be explained with given input values -> 1.698347 = (4*3.9*(cos(1.22347580564779)))/pi.

FAQ

What is Peak Magnitude of Source Current for Constant Load Current?
The Peak magnitude 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). In the above case, the load current of the semi-converter is considered constant and is represented as Io(semi) = (4*IL(semi)*(cos(α(semi))))/pi or Source Current Fundamental Comp Semi Converter = (4*Load Current Semi Converter*(cos(Delay Angle Semi Converter)))/pi. Load Current Semi Converter is defined as the current flowing through the load terminal of a semi converter circuit & 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 Peak Magnitude of Source Current for Constant Load Current?
The Peak magnitude 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). In the above case, the load current of the semi-converter is considered constant is calculated using Source Current Fundamental Comp Semi Converter = (4*Load Current Semi Converter*(cos(Delay Angle Semi Converter)))/pi. To calculate Peak Magnitude of Source Current for Constant Load Current, you need Load Current Semi Converter (IL(semi)) & Delay Angle Semi Converter (semi)). With our tool, you need to enter the respective value for Load Current Semi Converter & 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.
How many ways are there to calculate Source Current Fundamental Comp Semi Converter?
In this formula, Source Current Fundamental Comp Semi Converter uses Load Current Semi Converter & Delay Angle Semi Converter. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Source Current Fundamental Comp Semi Converter = Load Current Semi Converter*(((180-Delay Angle Semi Converter)/180)^0.5)
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