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

STEP 0: Pre-Calculation Summary
Formula Used
Positive Sequence Current LG = A Phase EMF LG/(Zero Sequence Impedance LG+Negative Sequence Impedance LG+Positive Sequence Impedance LG+(3*Fault Impedance LG))
I1(lg) = Ea(lg)/(Z0(lg)+Z2(lg)+Z1(lg)+(3*Zf(lg)))
This formula uses 6 Variables
Variables Used
Positive Sequence Current LG - (Measured in Ampere) - Positive Sequence Current LG consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation.
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.
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.
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.
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.
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
Negative Sequence Impedance LG: -44.6 Ohm --> -44.6 Ohm No Conversion Required
Positive Sequence Impedance LG: 7.94 Ohm --> 7.94 Ohm No Conversion Required
Fault Impedance LG: 1.5 Ohm --> 1.5 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
I1(lg) = Ea(lg)/(Z0(lg)+Z2(lg)+Z1(lg)+(3*Zf(lg))) --> 29.38/(8+(-44.6)+7.94+(3*1.5))
Evaluating ... ...
I1(lg) = -1.21605960264901
STEP 3: Convert Result to Output's Unit
-1.21605960264901 Ampere --> No Conversion Required
FINAL ANSWER
-1.21605960264901 -1.21606 Ampere <-- Positive Sequence Current LG
(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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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

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

​LaTeX ​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))
I1(lg) = Ea(lg)/(Z0(lg)+Z2(lg)+Z1(lg)+(3*Zf(lg)))

What are the positive and negative 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.

How to Calculate Positive Sequence Current using A-Phase EMF (LGF)?

Positive Sequence Current using A-Phase EMF (LGF) calculator uses Positive Sequence Current LG = A Phase EMF LG/(Zero Sequence Impedance LG+Negative Sequence Impedance LG+Positive Sequence Impedance LG+(3*Fault Impedance LG)) to calculate the Positive Sequence Current LG, The Positive Sequence Current using a-phase EMF (LGF) formula is consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation. Positive Sequence Current LG is denoted by I1(lg) symbol.

How to calculate Positive Sequence Current using A-Phase EMF (LGF) using this online calculator? To use this online calculator for Positive Sequence Current using A-Phase EMF (LGF), enter A Phase EMF LG (Ea(lg)), Zero Sequence Impedance LG (Z0(lg)), Negative Sequence Impedance LG (Z2(lg)), Positive Sequence Impedance LG (Z1(lg)) & Fault Impedance LG (Zf(lg)) and hit the calculate button. Here is how the Positive Sequence Current using A-Phase EMF (LGF) calculation can be explained with given input values -> -1.21606 = 29.38/(8+(-44.6)+7.94+(3*1.5)).

FAQ

What is Positive Sequence Current using A-Phase EMF (LGF)?
The Positive Sequence Current using a-phase EMF (LGF) formula is consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation and is represented as I1(lg) = Ea(lg)/(Z0(lg)+Z2(lg)+Z1(lg)+(3*Zf(lg))) or Positive 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 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, Negative Sequence Impedance LG consists of balanced three-phase impedance phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB rotation, 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 & 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.
How to calculate Positive Sequence Current using A-Phase EMF (LGF)?
The Positive Sequence Current using a-phase EMF (LGF) formula is consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation is calculated using Positive Sequence Current LG = A Phase EMF LG/(Zero Sequence Impedance LG+Negative Sequence Impedance LG+Positive Sequence Impedance LG+(3*Fault Impedance LG)). To calculate Positive Sequence Current using A-Phase EMF (LGF), you need A Phase EMF LG (Ea(lg)), Zero Sequence Impedance LG (Z0(lg)), Negative Sequence Impedance LG (Z2(lg)), Positive Sequence Impedance LG (Z1(lg)) & Fault Impedance LG (Zf(lg)). With our tool, you need to enter the respective value for A Phase EMF LG, Zero Sequence Impedance LG, Negative Sequence Impedance LG, Positive Sequence Impedance LG & Fault 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 Positive Sequence Current LG?
In this formula, Positive Sequence Current LG uses A Phase EMF LG, Zero Sequence Impedance LG, Negative Sequence Impedance LG, Positive Sequence Impedance LG & Fault Impedance LG. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Positive Sequence Current LG = (Positive Sequence Voltage LG+Negative Sequence Voltage LG+Zero Sequence Voltage LG)/(3*Fault Impedance LG)
  • Positive Sequence Current LG = A-Phase Current LG/3
  • Positive Sequence Current LG = (Positive Sequence Voltage LG-EMF Induced in Primary Winding LG)/Positive Sequence Impedance LG
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