Positive Sequence Current using A-Phase EMF and Sequence Impedances(LLGF) Calculator

✖A phase EMF is defined as the electromagnetic force of the a-phase in open conductor fault.ⓘ A Phase EMF [E_a]			+10% -10%
✖Positive Sequence Impedance consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation.ⓘ Positive Sequence Impedance [Z₁]			+10% -10%
✖Negative Sequence Impedance consists of balanced three-phase impedance phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB rotation.ⓘ Negative Sequence Impedance [Z₂]			+10% -10%
✖Zero Sequence Impedance 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 [Z₀]			+10% -10%
✖Fault Impedance 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 [Z_f]			+10% -10%

✖Positive Sequence Current consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation.ⓘ Positive Sequence Current using A-Phase EMF and Sequence Impedances(LLGF) [I₁]

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Formula

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Positive Sequence Current using A-Phase EMF and Sequence Impedances(LLGF)

Formula

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

Example

`"1.160916A"="29.38V"/("7.94Ω"+("-44.6Ω"*("8Ω"+3*"1.5Ω"))/("8Ω"+"-44.6Ω"+3*"1.5Ω"))`

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Positive Sequence Current using A-Phase EMF and Sequence Impedances(LLGF) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Positive Sequence Current = A Phase EMF/(Positive Sequence Impedance+(Negative Sequence Impedance*(Zero Sequence Impedance+3*Fault Impedance))/(Zero Sequence Impedance+Negative Sequence Impedance+3*Fault Impedance))
I₁ = E_a/(Z₁+(Z₂*(Z₀+3*Z_f))/(Z₀+Z₂+3*Z_f))
This formula uses 6 Variables

Variables Used

Positive Sequence Current - (Measured in Ampere) - Positive Sequence Current consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation.
A Phase EMF - (Measured in Volt) - A phase EMF is defined as the electromagnetic force of the a-phase in open conductor fault.
Positive Sequence Impedance - (Measured in Ohm) - Positive Sequence Impedance consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation.
Negative Sequence Impedance - (Measured in Ohm) - Negative Sequence Impedance consists of balanced three-phase impedance phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB rotation.
Zero Sequence Impedance - (Measured in Ohm) - Zero Sequence Impedance consists of a balanced three-phase voltage and current, phasors of which all have the same phase angles and rotate counter clockwise together.
Fault Impedance - (Measured in Ohm) - Fault Impedance 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: 29.38 Volt --> 29.38 Volt No Conversion Required
Positive Sequence Impedance: 7.94 Ohm --> 7.94 Ohm No Conversion Required
Negative Sequence Impedance: -44.6 Ohm --> -44.6 Ohm No Conversion Required
Zero Sequence Impedance: 8 Ohm --> 8 Ohm No Conversion Required
Fault Impedance: 1.5 Ohm --> 1.5 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I₁ = E_a/(Z₁+(Z₂*(Z₀+3*Z_f))/(Z₀+Z₂+3*Z_f)) --> 29.38/(7.94+((-44.6)*(8+3*1.5))/(8+(-44.6)+3*1.5))

Evaluating ... ...

I₁ = 1.16091603128608

STEP 3: Convert Result to Output's Unit

1.16091603128608 Ampere --> No Conversion Required

FINAL ANSWER

1.16091603128608 ≈ 1.160916 Ampere <-- Positive Sequence Current

(Calculation completed in 00.004 seconds)

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Positive Sequence Current using A-Phase EMF and Sequence Impedances(LLGF)

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

Negative Sequence Current using Positive Sequence Current and Sequence Impedances(LLGF)

Go Negative Sequence Current = -Positive Sequence Current*((Zero Sequence Impedance+3*Fault Impedance)/(Zero Sequence Impedance+Negative Sequence Impedance+3*Fault Impedance))

Zero Sequence Current using Positive Sequence Current and Sequence Impedances(LLGF)

Go Zero Sequence Current = -Positive Sequence Current*((Negative Sequence Impedance)/(Zero Sequence Impedance+Negative Sequence Impedance+3*Fault Impedance))

Positive Sequence Current using Positive Sequence Voltage (LLGF)

Go Positive Sequence Current = (A Phase EMF-Positive Sequence Voltage)/Positive Sequence Impedance

Zero Sequence Current using Sequence Voltages and Fault Impedance(LLGF)

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

B-Phase Current using B-Phase Voltage(LLGF)

Go B Phase Current = B Phase Voltage/Fault Impedance-C Phase Current

C-Phase Current using C-Phase Voltage(LLGF)

Go C Phase Current = C Phase Voltage/Fault Impedance-B Phase Current

Negative Sequence Current using Negative Sequence Voltage (LLGF)

Go Negative Sequence Current = (-1)*Negative Sequence Voltage/Negative Sequence Impedance

Zero Sequence Current using Zero Sequence Voltage (LLGF)

Go Zero Sequence Current = (-1)*Zero Sequence Voltage/Zero Sequence Impedance

Zero Sequence Current using B-Phase Voltage (LLGF)

Go Zero Sequence Current = B Phase Voltage/(3*Fault Impedance)

Zero Sequence Current using C-Phase Voltage (LLGF)

Go Zero Sequence Current = C Phase Voltage/(3*Fault Impedance)

Fault Current using B-Phase Voltage (LLGF)

Go Fault Current = B Phase Voltage/Fault Impedance

Fault Current using C-Phase Voltage (LLGF)

Go Fault Current = C Phase Voltage/Fault Impedance

B-Phase Current (LLGF)

Go B Phase Current = Fault Current-C Phase Current

C-Phase Current (LLGF)

Go C Phase Current = Fault Current-B Phase Current

Fault Current (LLGF)

Go Fault Current = B Phase Current+C Phase Current

Positive Sequence Current using A-Phase EMF and Sequence Impedances(LLGF) Formula

What is a double line to ground fault?

A double line to ground fault is a type of fault that can occur in an electrical power system. It is characterized by two of the three conductors in a three-phase power system coming into contact with the ground or earth.

How to Calculate Positive Sequence Current using A-Phase EMF and Sequence Impedances(LLGF)?

Positive Sequence Current using A-Phase EMF and Sequence Impedances(LLGF) calculator uses Positive Sequence Current = A Phase EMF/(Positive Sequence Impedance+(Negative Sequence Impedance*(Zero Sequence Impedance+3*Fault Impedance))/(Zero Sequence Impedance+Negative Sequence Impedance+3*Fault Impedance)) to calculate the Positive Sequence Current, The Positive Sequence Current using A-phase EMF and Sequence Impedances(LLGF) formula is defined as a concept in electrical engineering that refers to the flow of electric current in a three-phase power system where all three phases have the same magnitude and are equally spaced in phase angle. Positive Sequence Current is denoted by I₁ symbol.

How to calculate Positive Sequence Current using A-Phase EMF and Sequence Impedances(LLGF) using this online calculator? To use this online calculator for Positive Sequence Current using A-Phase EMF and Sequence Impedances(LLGF), enter A Phase EMF (E_a), Positive Sequence Impedance (Z₁), Negative Sequence Impedance (Z₂), Zero Sequence Impedance (Z₀) & Fault Impedance (Z_f) and hit the calculate button. Here is how the Positive Sequence Current using A-Phase EMF and Sequence Impedances(LLGF) calculation can be explained with given input values -> 1.160916 = 29.38/(7.94+((-44.6)*(8+3*1.5))/(8+(-44.6)+3*1.5)).

FAQ

What is Positive Sequence Current using A-Phase EMF and Sequence Impedances(LLGF)?

The Positive Sequence Current using A-phase EMF and Sequence Impedances(LLGF) formula is defined as a concept in electrical engineering that refers to the flow of electric current in a three-phase power system where all three phases have the same magnitude and are equally spaced in phase angle and is represented as I₁ = E_a/(Z₁+(Z₂*(Z₀+3*Z_f))/(Z₀+Z₂+3*Z_f)) or Positive Sequence Current = A Phase EMF/(Positive Sequence Impedance+(Negative Sequence Impedance*(Zero Sequence Impedance+3*Fault Impedance))/(Zero Sequence Impedance+Negative Sequence Impedance+3*Fault Impedance)). A phase EMF is defined as the electromagnetic force of the a-phase in open conductor fault, Positive Sequence Impedance consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation, Negative Sequence Impedance consists of balanced three-phase impedance phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB rotation, Zero Sequence Impedance consists of a balanced three-phase voltage and current, phasors of which all have the same phase angles and rotate counter clockwise together & Fault Impedance 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 and Sequence Impedances(LLGF)?

The Positive Sequence Current using A-phase EMF and Sequence Impedances(LLGF) formula is defined as a concept in electrical engineering that refers to the flow of electric current in a three-phase power system where all three phases have the same magnitude and are equally spaced in phase angle is calculated using Positive Sequence Current = A Phase EMF/(Positive Sequence Impedance+(Negative Sequence Impedance*(Zero Sequence Impedance+3*Fault Impedance))/(Zero Sequence Impedance+Negative Sequence Impedance+3*Fault Impedance)). To calculate Positive Sequence Current using A-Phase EMF and Sequence Impedances(LLGF), you need A Phase EMF (E_a), Positive Sequence Impedance (Z₁), Negative Sequence Impedance (Z₂), Zero Sequence Impedance (Z₀) & Fault Impedance (Z_f). With our tool, you need to enter the respective value for A Phase EMF, Positive Sequence Impedance, Negative Sequence Impedance, Zero Sequence Impedance & Fault Impedance 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?

In this formula, Positive Sequence Current uses A Phase EMF, Positive Sequence Impedance, Negative Sequence Impedance, Zero Sequence Impedance & Fault Impedance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Positive Sequence Current = (A Phase EMF-Positive Sequence Voltage)/Positive Sequence Impedance

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