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A-Phase EMF using Fault Current(LLF) Formula

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

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

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A phase EMF is defined as the electromagnetic force of the a-phase in open conductor fault. Check FAQs

E a = \frac{I f \cdot (Z 1 + Z 2)}{\sqrt{3}}

E_a - A Phase EMF?I_f - Fault Current?Z₁ - Positive Sequence Impedance?Z₂ - Negative Sequence Impedance?

A-Phase EMF using Fault Current(LLF) Example

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Here is how the A-Phase EMF using Fault Current(LLF) equation looks like with Values.

Here is how the A-Phase EMF using Fault Current(LLF) equation looks like with Units.

Here is how the A-Phase EMF using Fault Current(LLF) equation looks like.

-90.3774 = \frac{4.27 \cdot (7.94 + -44.6)}{\sqrt{3}}

-90.3774V = \frac{4.27A \cdot (7.94Ω + -44.6Ω)}{\sqrt{3}}

-90.3774 = \frac{4.27 \cdot (7.94 + -44.6)}{\sqrt{3}}

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A-Phase EMF using Fault Current(LLF) Solution

Follow our step by step solution on how to calculate A-Phase EMF using Fault Current(LLF)?

FIRST Step Consider the formula

E a = \frac{I f \cdot (Z 1 + Z 2)}{\sqrt{3}}

Next Step Substitute values of Variables

∴

E a = \frac{4.27A \cdot (7.94Ω + -44.6Ω)}{\sqrt{3}}

Next Step Prepare to Evaluate

∴

E a = \frac{4.27 \cdot (7.94 + -44.6)}{\sqrt{3}}

Next Step Evaluate

∴

E a = -90.3773719084595V

LAST Step Rounding Answer

∴

E a = -90.3774V

A-Phase EMF using Fault Current(LLF) Formula Elements

Variables

Functions

A Phase EMF

A phase EMF is defined as the electromagnetic force of the a-phase in open conductor fault.

Symbol: E_a

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find A Phase EMF

Fault Current

The fault current is the electrical current which flows through a circuit during an electrical fault condition.

Symbol: I_f

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Fault Current

Positive Sequence Impedance

Positive Sequence Impedance consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation.

Symbol: Z₁

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Positive Sequence Impedance

Negative Sequence Impedance

Negative Sequence Impedance consists of balanced three-phase impedance phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB rotation.

Symbol: Z₂

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Negative Sequence Impedance

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.

Syntax: sqrt(Number)

Other Formulas to find A Phase EMF

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

E a = V 1 + Z 1 \cdot I 1

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

E a = I 1 \cdot (Z 1 + Z 2 + Z f)

Go A-Phase EMF using Positive Sequence Voltage(LLF)

E a = \frac{V 1 \cdot (Z 1 + Z 2)}{Z 2}

Other formulas in Voltage and EMF category

Go B-Phase Voltage (LLF)

V b = (Z f \cdot I b) + V c

Go C-Phase Voltage (LLF)

V c = V b - (Z f \cdot I b)

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

V c = V b + (Z f \cdot I c)

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

V b = V c - (Z f \cdot I c)

How to Evaluate A-Phase EMF using Fault Current(LLF)?

A-Phase EMF using Fault Current(LLF) evaluator uses A Phase EMF = (Fault Current*(Positive Sequence Impedance+Negative Sequence Impedance))/sqrt(3) to evaluate 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 evaluate A-Phase EMF using Fault Current(LLF) using this online evaluator? To use this online evaluator 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.

FAQs on A-Phase EMF using Fault Current(LLF)

What is the formula to find A-Phase EMF using Fault Current(LLF)?

The formula of A-Phase EMF using Fault Current(LLF) is expressed as A Phase EMF = (Fault Current*(Positive Sequence Impedance+Negative Sequence Impedance))/sqrt(3). Here is an example- 129.5261 = (4.27*(7.94+(-44.6)))/sqrt(3).

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

With Fault Current (I_f), Positive Sequence Impedance (Z₁) & Negative Sequence Impedance (Z₂) we can find A-Phase EMF using Fault Current(LLF) using the formula - A Phase EMF = (Fault Current*(Positive Sequence Impedance+Negative Sequence Impedance))/sqrt(3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate A Phase EMF?

Here are the different ways to Calculate A Phase EMF-

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

Can the A-Phase EMF using Fault Current(LLF) be negative?

Yes, the A-Phase EMF using Fault Current(LLF), measured in Electric Potential can be negative.

Which unit is used to measure A-Phase EMF using Fault Current(LLF)?

A-Phase EMF using Fault Current(LLF) is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which A-Phase EMF using Fault Current(LLF) can be measured.

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A-Phase EMF using Fault Current(LLF) Formula

​GoA-Phase EMF using Positive Sequence Current and Voltage(LLF) Formula

​GoA-Phase EMF using Positive Sequence Current and Sequence Impedances(LLF) Formula

A-Phase EMF using Fault Current(LLF) Example

A-Phase EMF using Fault Current(LLF) Solution

A-Phase EMF using Fault Current(LLF) Formula Elements

Other Formulas to find A Phase EMF

Other formulas in Voltage and EMF category

How to Evaluate A-Phase EMF using Fault Current(LLF)?

FAQs on A-Phase EMF using Fault Current(LLF)

Variable Name

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

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