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

✖A phase EMF LG is defined as the electromagnetic force of the a-phase in open conductor fault.ⓘ A Phase EMF LG [E_a(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%
✖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%
✖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%
✖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%

✖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 using A-Phase EMF (LGF) [I_2(lg)]

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Formula

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Negative Sequence Current using A-Phase EMF (LGF)

Formula

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

Example

`"-1.21606A"="29.38V"/("8Ω"+"-44.6Ω"+"7.94Ω"+(3*"1.5Ω"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Negative Sequence Current LG = A Phase EMF LG/(Zero Sequence Impedance LG+Negative Sequence Impedance LG+Positive Sequence Impedance LG+(3*Fault Impedance LG))
I_2(lg) = E_a(lg)/(Z_0(lg)+Z_2(lg)+Z_1(lg)+(3*Z_f(lg)))
This formula uses 6 Variables

Variables Used

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.
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

I_2(lg) = E_a(lg)/(Z_0(lg)+Z_2(lg)+Z_1(lg)+(3*Z_f(lg))) --> 29.38/(8+(-44.6)+7.94+(3*1.5))

Evaluating ... ...

I_2(lg) = -1.21605960264901

STEP 3: Convert Result to Output's Unit

-1.21605960264901 Ampere --> No Conversion Required

FINAL ANSWER

-1.21605960264901 ≈ -1.21606 Ampere <-- Negative Sequence Current LG

(Calculation completed in 00.004 seconds)

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

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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

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

Negative Sequence Current using A-Phase EMF (LGF) calculator uses Negative 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 Negative Sequence Current LG, The Negative 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 ACB rotation. Negative Sequence Current LG is denoted by I_2(lg) symbol.

How to calculate Negative Sequence Current using A-Phase EMF (LGF) using this online calculator? To use this online calculator for Negative Sequence Current using A-Phase EMF (LGF), enter A Phase EMF LG (E_a(lg)), Zero Sequence Impedance LG (Z_0(lg)), Negative Sequence Impedance LG (Z_2(lg)), Positive Sequence Impedance LG (Z_1(lg)) & Fault Impedance LG (Z_f(lg)) and hit the calculate button. Here is how the Negative 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 Negative Sequence Current using A-Phase EMF (LGF)?

The Negative 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 ACB rotation and is represented as I_2(lg) = E_a(lg)/(Z_0(lg)+Z_2(lg)+Z_1(lg)+(3*Z_f(lg))) or 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 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 Negative Sequence Current using A-Phase EMF (LGF)?

The Negative 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 ACB rotation is calculated using Negative 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 Negative Sequence Current using A-Phase EMF (LGF), you need A Phase EMF LG (E_a(lg)), Zero Sequence Impedance LG (Z_0(lg)), Negative Sequence Impedance LG (Z_2(lg)), Positive Sequence Impedance LG (Z_1(lg)) & Fault Impedance LG (Z_f(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 Negative Sequence Current LG?

In this formula, Negative 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 2 other way(s) to calculate the same, which is/are as follows -

Negative Sequence Current LG = A-Phase Current LG/3
Negative Sequence Current LG = (-1)*Negative Sequence Voltage LG/Negative Sequence Impedance LG

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