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

STEP 0: Pre-Calculation Summary
Formula Used
A Phase EMF LG = Positive Sequence Current LG*((3*Fault Impedance LG)+Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)
Ea(lg) = I1(lg)*((3*Zf(lg))+Z0(lg)+Z1(lg)+Z2(lg))
This formula uses 6 Variables
Variables Used
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.
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.
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
Positive Sequence Current LG: 2.001 Ampere --> 2.001 Ampere 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
Ea(lg) = I1(lg)*((3*Zf(lg))+Z0(lg)+Z1(lg)+Z2(lg)) --> 2.001*((3*1.5)+8+7.94+(-44.6))
Evaluating ... ...
Ea(lg) = -48.34416
STEP 3: Convert Result to Output's Unit
-48.34416 Volt --> No Conversion Required
FINAL ANSWER
-48.34416 Volt <-- A Phase EMF LG
(Calculation completed in 00.004 seconds)

Credits

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Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Voltage and EMF Calculators

Zero Sequence Voltage using A-Phase Current (LGF)
​ LaTeX ​ Go Zero Sequence Voltage LG = (Fault Impedance LG*A-Phase Current LG)-(Negative Sequence Voltage LG)-(Positive Sequence Voltage LG)
Positive Sequence Voltage for L-G-F
​ LaTeX ​ Go Positive Sequence Voltage LG = EMF Induced in Primary Winding LG-(Positive Sequence Impedance LG*Positive Sequence Current LG)
Zero Sequence Voltage for LGF
​ LaTeX ​ Go Zero Sequence Voltage LG = -Zero Sequence Impedance LG*Zero Sequence Current LG
A-Phase Voltage(LGF)
​ LaTeX ​ Go A Phase Voltage LG = Fault Impedance LG*A-Phase Current LG

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

​LaTeX ​Go
A Phase EMF LG = Positive Sequence Current LG*((3*Fault Impedance LG)+Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)
Ea(lg) = I1(lg)*((3*Zf(lg))+Z0(lg)+Z1(lg)+Z2(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 A-Phase EMF using Positive Sequence Current(LGF)?

A-Phase EMF using Positive Sequence Current(LGF) calculator uses A Phase EMF LG = Positive Sequence Current LG*((3*Fault Impedance LG)+Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG) to calculate the A Phase EMF LG, The a-phase EMF using Positive Sequence Current(LGF) formula is defined as the electromotive force of the A-phase current flowing line. A Phase EMF LG is denoted by Ea(lg) symbol.

How to calculate A-Phase EMF using Positive Sequence Current(LGF) using this online calculator? To use this online calculator for A-Phase EMF using Positive Sequence Current(LGF), enter Positive Sequence Current LG (I1(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 EMF using Positive Sequence Current(LGF) calculation can be explained with given input values -> -48.34416 = 2.001*((3*1.5)+8+7.94+(-44.6)).

FAQ

What is A-Phase EMF using Positive Sequence Current(LGF)?
The a-phase EMF using Positive Sequence Current(LGF) formula is defined as the electromotive force of the A-phase current flowing line and is represented as Ea(lg) = I1(lg)*((3*Zf(lg))+Z0(lg)+Z1(lg)+Z2(lg)) or A Phase EMF LG = Positive Sequence Current LG*((3*Fault Impedance LG)+Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG). 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, 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 EMF using Positive Sequence Current(LGF)?
The a-phase EMF using Positive Sequence Current(LGF) formula is defined as the electromotive force of the A-phase current flowing line is calculated using A Phase EMF LG = Positive Sequence Current LG*((3*Fault Impedance LG)+Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG). To calculate A-Phase EMF using Positive Sequence Current(LGF), you need Positive Sequence Current LG (I1(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 Positive Sequence Current 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 EMF LG?
In this formula, A Phase EMF LG uses Positive Sequence Current 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 EMF LG = Positive Sequence Voltage LG+(Positive Sequence Impedance LG*Positive Sequence Current LG)
  • A Phase EMF LG = Zero Sequence Current LG*((3*Fault Impedance LG)+Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)
  • A Phase EMF LG = Negative Sequence Current LG*((3*Fault Impedance LG)+Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)
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