A-Phase EMF using Fault Current(LLF) Calculator

✖The fault current is the electrical current which flows through a circuit during an electrical fault condition.ⓘ Fault Current [I_f]			+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%

✖A phase EMF is defined as the electromagnetic force of the a-phase in open conductor fault.ⓘ A-Phase EMF using Fault Current(LLF) [E_a]

⎘ Copy

👎

Formula

✖

A-Phase EMF using Fault Current(LLF)

Formula

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

Example

`"-90.377372V"=("4.27A"*("7.94Ω"+"-44.6Ω"))/sqrt(3)`

Calculator

LaTeX

Reset

👍

Download Fault Formula PDF PDF Image

A-Phase EMF using Fault Current(LLF) Solution

STEP 0: Pre-Calculation Summary

Formula Used

A Phase EMF = (Fault Current*(Positive Sequence Impedance+Negative Sequence Impedance))/sqrt(3)
E_a = (I_f*(Z₁+Z₂))/sqrt(3)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

A Phase EMF - (Measured in Volt) - A phase EMF is defined as the electromagnetic force of the a-phase in open conductor fault.
Fault Current - (Measured in Ampere) - The fault current is the electrical current which flows through a circuit during an electrical fault condition.
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

Fault Current: 4.27 Ampere --> 4.27 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

E_a = (I_f*(Z₁+Z₂))/sqrt(3) --> (4.27*(7.94+(-44.6)))/sqrt(3)

Evaluating ... ...

E_a = -90.3773719084595

STEP 3: Convert Result to Output's Unit

-90.3773719084595 Volt --> No Conversion Required

FINAL ANSWER

-90.3773719084595 ≈ -90.377372 Volt <-- A Phase EMF

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power System » Fault » Shunt Faults » Unsymmetrical Faults » L-L Fault » Voltage & EMF » A-Phase EMF using Fault Current(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!

< 13 Voltage & EMF Calculators

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

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

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

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

A-Phase EMF using Positive Sequence Voltage(LLF)

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

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

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

A-Phase EMF using Fault Current(LLF)

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

Positive Sequence Voltage (LLF)

Go Positive Sequence Voltage = (Fault Impedance*Positive Sequence Current)+Negative Sequence Voltage

Negative Sequence Voltage (LLF)

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

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

Go Positive Sequence Voltage = A Phase EMF-Positive Sequence Impedance*Positive Sequence Current

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

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

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

Go C Phase Voltage = B Phase Voltage+(Fault Impedance*C Phase Current)

B-Phase Voltage using C-Phase Current (LLF)

Go B Phase Voltage = C Phase Voltage-(Fault Impedance*C Phase Current)

B-Phase Voltage (LLF)

Go B Phase Voltage = (Fault Impedance*B Phase Current)+C Phase Voltage

C-Phase Voltage (LLF)

Go C Phase Voltage = B Phase Voltage-(Fault Impedance*B Phase Current)

A-Phase EMF using Fault Current(LLF) Formula

A Phase EMF = (Fault Current*(Positive Sequence Impedance+Negative Sequence Impedance))/sqrt(3)
E_a = (I_f*(Z₁+Z₂))/sqrt(3)

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 A-Phase EMF using Fault Current(LLF)?

A-Phase EMF using Fault Current(LLF) calculator uses A Phase EMF = (Fault Current*(Positive Sequence Impedance+Negative Sequence Impedance))/sqrt(3) to calculate the A Phase EMF, The A-phase EMF using Fault Current(LLF) formula is defined as the electrical potential difference that is present in one phase of a three-phase electrical power system during a fault condition. A Phase EMF is denoted by E_a symbol.

How to calculate A-Phase EMF using Fault Current(LLF) using this online calculator? To use this online calculator for A-Phase EMF using Fault Current(LLF), enter Fault Current (I_f), Positive Sequence Impedance (Z₁) & Negative Sequence Impedance (Z₂) and hit the calculate button. Here is how the A-Phase EMF using Fault Current(LLF) calculation can be explained with given input values -> 129.5261 = (4.27*(7.94+(-44.6)))/sqrt(3).

FAQ

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

The A-phase EMF using Fault Current(LLF) formula is defined as the electrical potential difference that is present in one phase of a three-phase electrical power system during a fault condition and is represented as E_a = (I_f*(Z₁+Z₂))/sqrt(3) or A Phase EMF = (Fault Current*(Positive Sequence Impedance+Negative Sequence Impedance))/sqrt(3). The fault current is the electrical current which flows through a circuit during an electrical fault condition, 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 A-Phase EMF using Fault Current(LLF)?

The A-phase EMF using Fault Current(LLF) formula is defined as the electrical potential difference that is present in one phase of a three-phase electrical power system during a fault condition is calculated using A Phase EMF = (Fault Current*(Positive Sequence Impedance+Negative Sequence Impedance))/sqrt(3). To calculate A-Phase EMF using Fault Current(LLF), you need Fault Current (I_f), Positive Sequence Impedance (Z₁) & Negative Sequence Impedance (Z₂). With our tool, you need to enter the respective value for Fault 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 A Phase EMF?

In this formula, A Phase EMF uses Fault Current, Positive Sequence Impedance & Negative Sequence Impedance. We can use 3 other way(s) to calculate the same, which is/are as follows -

A Phase EMF = Positive Sequence Voltage+Positive Sequence Impedance*Positive Sequence Current
A Phase EMF = Positive Sequence Current*(Positive Sequence Impedance+Negative Sequence Impedance+Fault Impedance)
A Phase EMF = (Positive Sequence Voltage*(Positive Sequence Impedance+Negative Sequence Impedance))/Negative Sequence Impedance

Home

FREE PDFs

🔍 Search