A-Phase Current using A-Phase EMF(LGF) Solution

STEP 0: Pre-Calculation Summary
Formula Used
A-Phase Current LG = (3*A Phase EMF LG)/(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)
Ia(lg) = (3*Ea(lg))/(Z0(lg)+Z1(lg)+Z2(lg))
This formula uses 5 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.
A Phase EMF LG - (Measured in Volt) - A phase EMF LG is defined as the electromagnetic force of the a-phase in open conductor 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
A Phase EMF LG: 29.38 Volt --> 29.38 Volt 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) = (3*Ea(lg))/(Z0(lg)+Z1(lg)+Z2(lg)) --> (3*29.38)/(8+7.94+(-44.6))
Evaluating ... ...
Ia(lg) = -3.07536636427076
STEP 3: Convert Result to Output's Unit
-3.07536636427076 Ampere --> No Conversion Required
FINAL ANSWER
-3.07536636427076 -3.075366 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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19 Current Calculators

Zero Sequence Current using A-Phase EMF (LGF)
​ Go Zero Sequence Current LG = EMF Induced in Primary Winding LG/(Zero Sequence Impedance LG+Negative Sequence Impedance LG+Positive Sequence Impedance LG+(3*Fault Impedance LG))
Positive Sequence Current using A-Phase EMF (LGF)
​ Go Positive Sequence Current LG = A Phase EMF LG/(Zero Sequence Impedance LG+Negative Sequence Impedance LG+Positive Sequence Impedance LG+(3*Fault Impedance LG))
Negative Sequence Current using A-Phase EMF (LGF)
​ Go Negative Sequence Current LG = A Phase EMF LG/(Zero Sequence Impedance LG+Negative Sequence Impedance LG+Positive Sequence Impedance LG+(3*Fault Impedance LG))
A-Phase Current using Fault Voltage and Fault Impedance(LGF)
​ 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)))
Positive Sequence Current using Fault Impedance(LGF)
​ 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 A-Phase EMF(LGF)
​ Go A-Phase Current LG = (3*A Phase EMF LG)/(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)
A-Phase Current using Sequence Voltages and Fault Impedance(LGF)
​ Go A-Phase Current LG = (Zero Sequence Voltage LG+Positive Sequence Voltage LG+Negative Sequence Voltage LG)/Fault Impedance LG
A-Phase Current using Fault Impedance(LGF)
​ Go A-Phase Current LG = (3*Zero Sequence Voltage LG-B Phase Voltage LG-C Phase Voltage LG)/Fault Impedance LG
Positive Sequence Current for L-G-F
​ Go Positive Sequence Current LG = (Positive Sequence Voltage LG-EMF Induced in Primary Winding LG)/Positive Sequence Impedance LG
A-Phase Current using Sequence Current(LGF)
​ Go A-Phase Current LG = Zero Sequence Current LG+Positive Sequence Current LG+Negative Sequence Current LG
Negative Sequence Current for L-G-F
​ Go Negative Sequence Current LG = (-1)*Negative Sequence Voltage LG/Negative Sequence Impedance LG
Zero Sequence Current for L-G-F
​ Go Zero Sequence Current LG = (-1)*Zero Sequence Voltage LG/Zero Sequence Impedance LG
A-Phase Current using A-Phase Voltage(LGF)
​ Go A-Phase Current LG = A Phase Voltage LG/Fault Impedance LG
A-Phase Current using Positive Sequence Current (LGF)
​ Go A-Phase Current LG = Positive Sequence Current LG*3
A-Phase Current using Negative Sequence Current (LGF)
​ Go A-Phase Current LG = 3*Negative Sequence Current LG
Positive Sequence Current using A-Phase Current (LGF)
​ Go Positive Sequence Current LG = A-Phase Current LG/3
Negative Sequence Current using A-Phase Current (LGF)
​ Go Negative Sequence Current LG = A-Phase Current LG/3
A-Phase Current using Zero Sequence Current (LGF)
​ Go A-Phase Current LG = Zero Sequence Current LG*3
Zero Sequence Current using A-Phase Current (LGF)
​ Go Zero Sequence Current LG = A-Phase Current LG/3

A-Phase Current using A-Phase EMF(LGF) Formula

A-Phase Current LG = (3*A Phase EMF LG)/(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)
Ia(lg) = (3*Ea(lg))/(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 A-Phase EMF(LGF)?

A-Phase Current using A-Phase EMF(LGF) calculator uses A-Phase Current LG = (3*A Phase EMF LG)/(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG) to calculate the A-Phase Current LG, The A-phase Current using A-phase EMF(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 A-Phase EMF(LGF) using this online calculator? To use this online calculator for A-Phase Current using A-Phase EMF(LGF), enter A Phase EMF LG (Ea(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 A-Phase EMF(LGF) calculation can be explained with given input values -> -3.075366 = (3*29.38)/(8+7.94+(-44.6)).

FAQ

What is A-Phase Current using A-Phase EMF(LGF)?
The A-phase Current using A-phase EMF(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) = (3*Ea(lg))/(Z0(lg)+Z1(lg)+Z2(lg)) or A-Phase Current LG = (3*A Phase EMF LG)/(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG). A phase EMF LG is defined as the electromagnetic force of the a-phase in open conductor 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 A-Phase EMF(LGF)?
The A-phase Current using A-phase EMF(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 = (3*A Phase EMF LG)/(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG). To calculate A-Phase Current using A-Phase EMF(LGF), you need A Phase EMF LG (Ea(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 A Phase EMF 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 A Phase EMF LG, Zero Sequence Impedance LG, Positive Sequence Impedance LG & Negative Sequence Impedance LG. We can use 8 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
  • A-Phase Current LG = A Phase Voltage LG/Fault Impedance LG
  • A-Phase Current LG = (3*Zero Sequence Voltage LG-B Phase Voltage LG-C Phase Voltage LG)/Fault Impedance LG
  • A-Phase Current LG = (Zero Sequence Voltage LG+Positive Sequence Voltage LG+Negative Sequence Voltage LG)/Fault Impedance LG
  • A-Phase Current LG = Zero Sequence Current LG+Positive Sequence Current LG+Negative Sequence Current LG
  • A-Phase Current LG = Fault Voltage LG/(Fault Impedance LG+((1/3)*(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)))
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