Fault Impedance using A-Phase EMF(LLF) 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 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 [I₁]			+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%

✖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 using A-Phase EMF(LLF) [Z_f]

⎘ Copy

👎

Formula

✖

Fault Impedance using A-Phase EMF(LLF)

Formula

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

Example

`"51.34266Ω"="29.38V"/"2.001A"-("7.94Ω"+"-44.6Ω")`

Calculator

LaTeX

Reset

👍

Download Fault Formula PDF PDF Image

Fault Impedance using A-Phase EMF(LLF) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fault Impedance = A Phase EMF/Positive Sequence Current-(Positive Sequence Impedance+Negative Sequence Impedance)
Z_f = E_a/I₁-(Z₁+Z₂)
This formula uses 5 Variables

Variables Used

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.
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 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.
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.

STEP 1: Convert Input(s) to Base Unit

A Phase EMF: 29.38 Volt --> 29.38 Volt No Conversion Required
Positive Sequence Current: 2.001 Ampere --> 2.001 Ampere 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_f = E_a/I₁-(Z₁+Z₂) --> 29.38/2.001-(7.94+(-44.6))

Evaluating ... ...

Z_f = 51.3426586706647

STEP 3: Convert Result to Output's Unit

51.3426586706647 Ohm --> No Conversion Required

FINAL ANSWER

51.3426586706647 ≈ 51.34266 Ohm <-- Fault Impedance

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Electrical » Power System » Fault » Shunt Faults » Unsymmetrical Faults » L-L Fault » Impedance » Fault Impedance using A-Phase EMF(LLF)

Credits

Created by Nisarg

Indian Institute of Technology,Roorlee (IITR), Roorkee

Nisarg has created this Calculator and 100+ more calculators!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has verified this Calculator and 600+ more calculators!

< 4 Impedance Calculators

Positive Sequence Impedance using A-Phase EMF and Positive Sequence Current(LLF)

Go Positive Sequence Impedance = A Phase EMF/Positive Sequence Current-(Fault Impedance+Negative Sequence Impedance)

Fault Impedance using A-Phase EMF(LLF)

Go Fault Impedance = A Phase EMF/Positive Sequence Current-(Positive Sequence Impedance+Negative Sequence Impedance)

Fault Impedance using Positive Sequence Current (LLF)

Go Fault Impedance = (Positive Sequence Voltage-Negative Sequence Voltage)/Positive Sequence Current

Positive Sequence Impedance using Positive Sequence Voltage and A-Phase EMF(LLF)

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

Fault Impedance using A-Phase EMF(LLF) Formula

Fault Impedance = A Phase EMF/Positive Sequence Current-(Positive Sequence Impedance+Negative Sequence Impedance)
Z_f = E_a/I₁-(Z₁+Z₂)

What is a line to line fault?

A line-to-line fault, also known as a three-phase fault, is a type of electrical fault that occurs in a three-phase power system. This type of fault occurs when a failure occurs between two phases of the power system, causing a current to flow from one phase to the other.

How to Calculate Fault Impedance using A-Phase EMF(LLF)?

Fault Impedance using A-Phase EMF(LLF) calculator uses Fault Impedance = A Phase EMF/Positive Sequence Current-(Positive Sequence Impedance+Negative Sequence Impedance) to calculate the Fault Impedance, The Fault Impedance using A-phase EMF(LLF) formula is defined as the resistance that is present in an electrical power system when a fault occurs. The fault impedance represents the opposition to the flow of fault current in the power system, and it is an important factor in determining the magnitude of the fault current. Fault Impedance is denoted by Z_f symbol.

How to calculate Fault Impedance using A-Phase EMF(LLF) using this online calculator? To use this online calculator for Fault Impedance using A-Phase EMF(LLF), enter A Phase EMF (E_a), Positive Sequence Current (I₁), Positive Sequence Impedance (Z₁) & Negative Sequence Impedance (Z₂) and hit the calculate button. Here is how the Fault Impedance using A-Phase EMF(LLF) calculation can be explained with given input values -> -37.857341 = 29.38/2.001-(7.94+(-44.6)).

FAQ

What is Fault Impedance using A-Phase EMF(LLF)?

The Fault Impedance using A-phase EMF(LLF) formula is defined as the resistance that is present in an electrical power system when a fault occurs. The fault impedance represents the opposition to the flow of fault current in the power system, and it is an important factor in determining the magnitude of the fault current and is represented as Z_f = E_a/I₁-(Z₁+Z₂) or Fault Impedance = A Phase EMF/Positive Sequence Current-(Positive Sequence Impedance+Negative Sequence Impedance). A phase EMF is defined as the electromagnetic force of the a-phase in open conductor fault, 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 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.

How to calculate Fault Impedance using A-Phase EMF(LLF)?

The Fault Impedance using A-phase EMF(LLF) formula is defined as the resistance that is present in an electrical power system when a fault occurs. The fault impedance represents the opposition to the flow of fault current in the power system, and it is an important factor in determining the magnitude of the fault current is calculated using Fault Impedance = A Phase EMF/Positive Sequence Current-(Positive Sequence Impedance+Negative Sequence Impedance). To calculate Fault Impedance using A-Phase EMF(LLF), you need A Phase EMF (E_a), Positive Sequence Current (I₁), Positive Sequence Impedance (Z₁) & Negative Sequence Impedance (Z₂). With our tool, you need to enter the respective value for A Phase EMF, Positive Sequence Current, Positive Sequence Impedance & Negative Sequence 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 Fault Impedance?

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

Fault Impedance = (Positive Sequence Voltage-Negative Sequence Voltage)/Positive Sequence Current

Home

FREE PDFs

🔍 Search