B-Phase Current 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 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%

✖B phase Current is defined as the current flowing through the b-phase in open conductor fault.ⓘ B-Phase Current using A-Phase EMF(LLF) [I_b]

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Formula

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B-Phase Current using A-Phase EMF(LLF)

Formula

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

Example

`"-1.388097A"=(sqrt(3)*"29.38V")/("7.94Ω"+"-44.6Ω")`

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B-Phase Current using A-Phase EMF(LLF) Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

B Phase Current - (Measured in Ampere) - B phase Current is defined as the current flowing through the b-phase in open conductor 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 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 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

I_b = (sqrt(3)*E_a)/(Z₁+Z₂) --> (sqrt(3)*29.38)/(7.94+(-44.6))

Evaluating ... ...

I_b = -1.38809745571123

STEP 3: Convert Result to Output's Unit

-1.38809745571123 Ampere --> No Conversion Required

FINAL ANSWER

-1.38809745571123 ≈ -1.388097 Ampere <-- B Phase Current

(Calculation completed in 00.004 seconds)

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Positive Sequence Current using A-Phase EMF(LLF)

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

B-Phase Current using A-Phase EMF(LLF)

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

Fault Current(LLF)

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

Positive Sequence Current using Fault Impedance(LLF)

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

B-Phase Current using Fault Impedance (LLF)

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

C-Phase Current using Fault Impedance (LLF)

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

Positive Sequence Current (LLF)

Go Positive Sequence Current = (-1)*Negative Sequence Current

Negative Sequence Current(LLF)

Go Negative Sequence Current = (-1)*Positive Sequence Current

B-Phase Current (LLF)

Go B Phase Current = (-1)*C Phase Current

C-Phase Current(LLF)

Go C Phase Current = (-1)*B Phase Current

B-Phase Current using A-Phase EMF(LLF) Formula

B Phase Current = (sqrt(3)*A Phase EMF)/(Positive Sequence Impedance+Negative Sequence Impedance)
I_b = (sqrt(3)*E_a)/(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 B-Phase Current using A-Phase EMF(LLF)?

B-Phase Current using A-Phase EMF(LLF) calculator uses B Phase Current = (sqrt(3)*A Phase EMF)/(Positive Sequence Impedance+Negative Sequence Impedance) to calculate the B Phase Current, The B-phase Current using A-phase EMF(LLF) formula is defined the current flowing in the B phase of the system. B Phase Current is denoted by I_b symbol.

How to calculate B-Phase Current using A-Phase EMF(LLF) using this online calculator? To use this online calculator for B-Phase Current using A-Phase EMF(LLF), enter A Phase EMF (E_a), Positive Sequence Impedance (Z₁) & Negative Sequence Impedance (Z₂) and hit the calculate button. Here is how the B-Phase Current using A-Phase EMF(LLF) calculation can be explained with given input values -> 0.968551 = (sqrt(3)*29.38)/(7.94+(-44.6)).

FAQ

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

The B-phase Current using A-phase EMF(LLF) formula is defined the current flowing in the B phase of the system and is represented as I_b = (sqrt(3)*E_a)/(Z₁+Z₂) or B Phase Current = (sqrt(3)*A Phase EMF)/(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 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 B-Phase Current using A-Phase EMF(LLF)?

The B-phase Current using A-phase EMF(LLF) formula is defined the current flowing in the B phase of the system is calculated using B Phase Current = (sqrt(3)*A Phase EMF)/(Positive Sequence Impedance+Negative Sequence Impedance). To calculate B-Phase Current using A-Phase EMF(LLF), you need A Phase EMF (E_a), Positive Sequence Impedance (Z₁) & Negative Sequence Impedance (Z₂). With our tool, you need to enter the respective value for A Phase EMF, 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 B Phase Current?

In this formula, B Phase Current uses A Phase EMF, Positive Sequence Impedance & Negative Sequence Impedance. We can use 2 other way(s) to calculate the same, which is/are as follows -

B Phase Current = (-1)*C Phase Current
B Phase Current = (B Phase Voltage-C Phase Voltage)/Fault Impedance

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