A-Phase EMF using Negative Sequence Current (LGF) Calculator

✖Negative Sequence Current LG consists of balanced three-phase current phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB rotation.ⓘ Negative Sequence Current LG [I_2(lg)]			+10% -10%
✖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.ⓘ Fault Impedance LG [Z_f(lg)]			+10% -10%
✖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.ⓘ Zero Sequence Impedance LG [Z_0(lg)]			+10% -10%
✖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.ⓘ Positive Sequence Impedance LG [Z_1(lg)]			+10% -10%
✖Negative Sequence Impedance LG consists of balanced three-phase impedance phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB rotation.ⓘ Negative Sequence Impedance LG [Z_2(lg)]			+10% -10%

✖A phase EMF LG is defined as the electromagnetic force of the a-phase in open conductor fault.ⓘ A-Phase EMF using Negative Sequence Current (LGF) [E_a(lg)]

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Formula

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A-Phase EMF using Negative Sequence Current (LGF)

Formula

`"E"_{"a(lg)"} = "I"_{"2(lg)"}*((3*"Z"_{"f(lg)"})+"Z"_{"0(lg)"}+"Z"_{"1(lg)"}+"Z"_{"2(lg)"})`

Example

`"8.6976V"="-0.36A"*((3*"1.5Ω")+"8Ω"+"7.94Ω"+"-44.6Ω")`

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

STEP 0: Pre-Calculation Summary

Formula Used

A Phase EMF LG = Negative Sequence Current LG*((3*Fault Impedance LG)+Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)
E_a(lg) = I_2(lg)*((3*Z_f(lg))+Z_0(lg)+Z_1(lg)+Z_2(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.
Negative Sequence Current LG - (Measured in Ampere) - Negative Sequence Current LG consists of balanced three-phase current phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB 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

Negative Sequence Current LG: -0.36 Ampere --> -0.36 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

E_a(lg) = I_2(lg)*((3*Z_f(lg))+Z_0(lg)+Z_1(lg)+Z_2(lg)) --> (-0.36)*((3*1.5)+8+7.94+(-44.6))

Evaluating ... ...

E_a(lg) = 8.6976

STEP 3: Convert Result to Output's Unit

8.6976 Volt --> No Conversion Required

FINAL ANSWER

8.6976 Volt <-- A Phase EMF LG

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Fault » Shunt Faults » Unsymmetrical Faults » L-G Fault » Voltage & EMF » A-Phase EMF using Negative Sequence Current (LGF)

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< 16 Voltage & EMF Calculators

Positive Sequence Voltage using A-Phase EMF and Sequence Impedances(LGF)

Go Positive Sequence Voltage LG = (A Phase EMF LG*(Zero Sequence Impedance LG+Negative Sequence Impedance LG))/(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)

Negative Sequence Voltage using A-Phase EMF and Sequence Impedances(LGF)

Go Negative Sequence Voltage LG = (-A Phase EMF LG*Negative Sequence Impedance LG)/(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)

A-Phase EMF using Negative Sequence Current (LGF)

Go A Phase EMF LG = Negative Sequence Current LG*((3*Fault Impedance LG)+Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)

A-Phase EMF using Positive Sequence Current(LGF)

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)

A-Phase EMF using Zero Sequence Current (LGF)

Go A Phase EMF LG = Zero Sequence Current LG*((3*Fault Impedance LG)+Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)

Zero Sequence Voltage using Positive Sequence Current

Go Zero Sequence Voltage LG = (3*Fault Impedance LG*Positive Sequence Current LG)-Negative Sequence Voltage LG-Positive Sequence Voltage LG

Zero Sequence Voltage using A-Phase Current (LGF)

Go Zero Sequence Voltage LG = (Fault Impedance LG*A-Phase Current LG)-(Negative Sequence Voltage LG)-(Positive Sequence Voltage LG)

Negative Sequence Voltage using A-Phase Current (LGF)

Go Negative Sequence Voltage LG = (Fault Impedance LG*A-Phase Current LG)-Positive Sequence Voltage LG-Zero Sequence Voltage LG

Zero Sequence Voltage using Phase Voltages(LGF)

Go Zero Sequence Voltage LG = 1/3*(Fault Impedance LG*A-Phase Current LG+B Phase Voltage LG+C Phase Voltage LG)

Positive Sequence Voltage for L-G-F

Go Positive Sequence Voltage LG = EMF Induced in Primary Winding LG-(Positive Sequence Impedance LG*Positive Sequence Current LG)

A-Phase EMF using Positive Sequence Voltage (LGF)

Go A Phase EMF LG = Positive Sequence Voltage LG+(Positive Sequence Impedance LG*Positive Sequence Current LG)

A-Phase Voltage using Sequence Voltages(LGF)

Go A Phase Voltage LG = Zero Sequence Voltage LG+Positive Sequence Voltage LG+Negative Sequence Voltage LG

Negative Sequence Voltage for LGF

Go Negative Sequence Voltage LG = -Negative Sequence Impedance LG*Negative Sequence Current LG

Positive Sequence Voltage using Positive Sequence Current

Go Positive Sequence Voltage LG = 3*Fault Impedance LG*Positive Sequence Current LG

Zero Sequence Voltage for LGF

Go Zero Sequence Voltage LG = -Zero Sequence Impedance LG*Zero Sequence Current LG

A-Phase Voltage(LGF)

Go A Phase Voltage LG = Fault Impedance LG*A-Phase Current LG

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

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 Negative Sequence Current (LGF)?

A-Phase EMF using Negative Sequence Current (LGF) calculator uses A Phase EMF LG = Negative 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 Negative Sequence Current (LGF) formula is defined as the electromotive force of the A-phase current flowing line. A Phase EMF LG is denoted by E_a(lg) symbol.

How to calculate A-Phase EMF using Negative Sequence Current (LGF) using this online calculator? To use this online calculator for A-Phase EMF using Negative Sequence Current (LGF), enter Negative Sequence Current LG (I_2(lg)), Fault Impedance LG (Z_f(lg)), Zero Sequence Impedance LG (Z_0(lg)), Positive Sequence Impedance LG (Z_1(lg)) & Negative Sequence Impedance LG (Z_2(lg)) and hit the calculate button. Here is how the A-Phase EMF using Negative Sequence Current (LGF) calculation can be explained with given input values -> 8.6976 = (-0.36)*((3*1.5)+8+7.94+(-44.6)).

FAQ

What is A-Phase EMF using Negative Sequence Current (LGF)?

The a-phase EMF using Negative Sequence Current (LGF) formula is defined as the electromotive force of the A-phase current flowing line and is represented as E_a(lg) = I_2(lg)*((3*Z_f(lg))+Z_0(lg)+Z_1(lg)+Z_2(lg)) or A Phase EMF LG = Negative Sequence Current LG*((3*Fault Impedance LG)+Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG). Negative Sequence Current LG consists of balanced three-phase current phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB 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 Negative Sequence Current (LGF)?

The a-phase EMF using Negative Sequence Current (LGF) formula is defined as the electromotive force of the A-phase current flowing line is calculated using A Phase EMF LG = Negative 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 Negative Sequence Current (LGF), you need Negative Sequence Current LG (I_2(lg)), Fault Impedance LG (Z_f(lg)), Zero Sequence Impedance LG (Z_0(lg)), Positive Sequence Impedance LG (Z_1(lg)) & Negative Sequence Impedance LG (Z_2(lg)). With our tool, you need to enter the respective value for Negative 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 Negative 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 = Positive Sequence Current LG*((3*Fault Impedance LG)+Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)

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