A-Phase Current using Fault Voltage and Fault Impedance(LGF) Solution

STEP 0: Pre-Calculation Summary
Formula Used
A-Phase Current LG = Fault Voltage LG/(Fault Impedance LG+((1/3)*(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)))
Ia(lg) = Vf(lg)/(Zf(lg)+((1/3)*(Z0(lg)+Z1(lg)+Z2(lg))))
This formula uses 6 Variables
Variables Used
A-Phase Current LG - (Measured in Ampere) - A-phase Current LG is the current that flows into the a-phase in open conductor fault.
Fault Voltage LG - (Measured in Volt) - Fault Voltage LG is defined when an electrical fault occurs and results in the deviation of voltage.
Fault Impedance LG - (Measured in Ohm) - Fault Impedance LG is a measure of the resistance and reactance in an electrical circuit that is used to calculate the fault current that flows through the circuit in the event of a fault.
Zero Sequence Impedance LG - (Measured in Ohm) - Zero Sequence Impedance LG consists of a balanced three-phase voltage and current, phasors of which all have the same phase angles and rotate counter clockwise together.
Positive Sequence Impedance LG - (Measured in Ohm) - Positive Sequence Impedance LG consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation.
Negative Sequence Impedance LG - (Measured in Ohm) - Negative Sequence Impedance LG consists of balanced three-phase impedance phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB rotation.
STEP 1: Convert Input(s) to Base Unit
Fault Voltage LG: 15.5 Volt --> 15.5 Volt No Conversion Required
Fault Impedance LG: 1.5 Ohm --> 1.5 Ohm No Conversion Required
Zero Sequence Impedance LG: 8 Ohm --> 8 Ohm No Conversion Required
Positive Sequence Impedance LG: 7.94 Ohm --> 7.94 Ohm No Conversion Required
Negative Sequence Impedance LG: -44.6 Ohm --> -44.6 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ia(lg) = Vf(lg)/(Zf(lg)+((1/3)*(Z0(lg)+Z1(lg)+Z2(lg)))) --> 15.5/(1.5+((1/3)*(8+7.94+(-44.6))))
Evaluating ... ...
Ia(lg) = -1.92466887417219
STEP 3: Convert Result to Output's Unit
-1.92466887417219 Ampere --> No Conversion Required
FINAL ANSWER
-1.92466887417219 -1.924669 Ampere <-- A-Phase Current LG
(Calculation completed in 00.004 seconds)

Credits

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Created by Nisarg
Indian Institute of Technology,Roorlee (IITR), Roorkee
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Verified by Parminder Singh
Chandigarh University (CU), Punjab
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Current Calculators

Positive Sequence Current using Fault Impedance(LGF)
​ LaTeX ​ Go Positive Sequence Current LG = (Positive Sequence Voltage LG+Negative Sequence Voltage LG+Zero Sequence Voltage LG)/(3*Fault Impedance LG)
A-Phase Current using Positive Sequence Current (LGF)
​ LaTeX ​ Go A-Phase Current LG = Positive Sequence Current LG*3
A-Phase Current using Negative Sequence Current (LGF)
​ LaTeX ​ Go A-Phase Current LG = 3*Negative Sequence Current LG
A-Phase Current using Zero Sequence Current (LGF)
​ LaTeX ​ Go A-Phase Current LG = Zero Sequence Current LG*3

A-Phase Current using Fault Voltage and Fault Impedance(LGF) Formula

​LaTeX ​Go
A-Phase Current LG = Fault Voltage LG/(Fault Impedance LG+((1/3)*(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)))
Ia(lg) = Vf(lg)/(Zf(lg)+((1/3)*(Z0(lg)+Z1(lg)+Z2(lg))))

What are the Sequence Components?

The positive sequence consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation. The negative sequence consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB rotation. Zero sequence consists of a balanced three-phase voltage and current, phasors of which all have the same phase angles and rotate counterclockwise together.

How to Calculate A-Phase Current using Fault Voltage and Fault Impedance(LGF)?

A-Phase Current using Fault Voltage and Fault Impedance(LGF) calculator uses A-Phase Current LG = Fault Voltage LG/(Fault Impedance LG+((1/3)*(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG))) to calculate the A-Phase Current LG, The A-phase current using Fault voltage and Fault Impedance(LGF) formula is defined as the current through any one component comprising a three-phase source or load. here we have taken the a-phase. A-Phase Current LG is denoted by Ia(lg) symbol.

How to calculate A-Phase Current using Fault Voltage and Fault Impedance(LGF) using this online calculator? To use this online calculator for A-Phase Current using Fault Voltage and Fault Impedance(LGF), enter Fault Voltage LG (Vf(lg)), Fault Impedance LG (Zf(lg)), Zero Sequence Impedance LG (Z0(lg)), Positive Sequence Impedance LG (Z1(lg)) & Negative Sequence Impedance LG (Z2(lg)) and hit the calculate button. Here is how the A-Phase Current using Fault Voltage and Fault Impedance(LGF) calculation can be explained with given input values -> -1.924669 = 15.5/(1.5+((1/3)*(8+7.94+(-44.6)))).

FAQ

What is A-Phase Current using Fault Voltage and Fault Impedance(LGF)?
The A-phase current using Fault voltage and Fault Impedance(LGF) formula is defined as the current through any one component comprising a three-phase source or load. here we have taken the a-phase and is represented as Ia(lg) = Vf(lg)/(Zf(lg)+((1/3)*(Z0(lg)+Z1(lg)+Z2(lg)))) or A-Phase Current LG = Fault Voltage LG/(Fault Impedance LG+((1/3)*(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG))). Fault Voltage LG is defined when an electrical fault occurs and results in the deviation of voltage, Fault Impedance LG is a measure of the resistance and reactance in an electrical circuit that is used to calculate the fault current that flows through the circuit in the event of a fault, Zero Sequence Impedance LG consists of a balanced three-phase voltage and current, phasors of which all have the same phase angles and rotate counter clockwise together, Positive Sequence Impedance LG consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation & Negative Sequence Impedance LG consists of balanced three-phase impedance phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB rotation.
How to calculate A-Phase Current using Fault Voltage and Fault Impedance(LGF)?
The A-phase current using Fault voltage and Fault Impedance(LGF) formula is defined as the current through any one component comprising a three-phase source or load. here we have taken the a-phase is calculated using A-Phase Current LG = Fault Voltage LG/(Fault Impedance LG+((1/3)*(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG))). To calculate A-Phase Current using Fault Voltage and Fault Impedance(LGF), you need Fault Voltage LG (Vf(lg)), Fault Impedance LG (Zf(lg)), Zero Sequence Impedance LG (Z0(lg)), Positive Sequence Impedance LG (Z1(lg)) & Negative Sequence Impedance LG (Z2(lg)). With our tool, you need to enter the respective value for Fault Voltage LG, Fault Impedance LG, Zero Sequence Impedance LG, Positive Sequence Impedance LG & Negative Sequence Impedance LG 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 A-Phase Current LG?
In this formula, A-Phase Current LG uses Fault Voltage LG, Fault Impedance LG, Zero Sequence Impedance LG, Positive Sequence Impedance LG & Negative Sequence Impedance LG. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • A-Phase Current LG = Positive Sequence Current LG*3
  • A-Phase Current LG = 3*Negative Sequence Current LG
  • A-Phase Current LG = Zero Sequence Current LG*3
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