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Fault Impedance given A-Phase EMF and Sequence Impedances(LGF) Formula

GoFault Impedance using A-Phase Voltage(LGF) Formula

GoFault Impedance given Sequence Voltages(LGF) Formula

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Fault Impedance LG 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. Check FAQs

Z f(lg) = \frac{1}{3} \cdot ((\frac{E a(lg)}{I 1(lg)}) - (Z 0(lg) + Z 1(lg) + Z 2(lg)))

Z_f(lg) - Fault Impedance LG?E_a(lg) - A Phase EMF LG?I_1(lg) - Positive Sequence Current LG?Z_0(lg) - Zero Sequence Impedance LG?Z_1(lg) - Positive Sequence Impedance LG?Z_2(lg) - Negative Sequence Impedance LG?

Fault Impedance given A-Phase EMF and Sequence Impedances(LGF) Example

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Here is how the Fault Impedance given A-Phase EMF and Sequence Impedances(LGF) equation looks like with Values.

Here is how the Fault Impedance given A-Phase EMF and Sequence Impedances(LGF) equation looks like with Units.

Here is how the Fault Impedance given A-Phase EMF and Sequence Impedances(LGF) equation looks like.

14.4476 = \frac{1}{3} \cdot ((\frac{29.38}{2.001}) - (8 + 7.94 + -44.6))

14.4476Ω = \frac{1}{3} \cdot ((\frac{29.38V}{2.001A}) - (8Ω + 7.94Ω + -44.6Ω))

14.4476 = \frac{1}{3} \cdot ((\frac{29.38}{2.001}) - (8 + 7.94 + -44.6))

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Fault Impedance given A-Phase EMF and Sequence Impedances(LGF) Solution

Follow our step by step solution on how to calculate Fault Impedance given A-Phase EMF and Sequence Impedances(LGF)?

FIRST Step Consider the formula

Z f(lg) = \frac{1}{3} \cdot ((\frac{E a(lg)}{I 1(lg)}) - (Z 0(lg) + Z 1(lg) + Z 2(lg)))

Next Step Substitute values of Variables

∴

Z f(lg) = \frac{1}{3} \cdot ((\frac{29.38V}{2.001A}) - (8Ω + 7.94Ω + -44.6Ω))

Next Step Prepare to Evaluate

∴

Z f(lg) = \frac{1}{3} \cdot ((\frac{29.38}{2.001}) - (8 + 7.94 + -44.6))

Next Step Evaluate

∴

Z f(lg) = 14.4475528902216Ω

LAST Step Rounding Answer

∴

Z f(lg) = 14.4476Ω

Fault Impedance given A-Phase EMF and Sequence Impedances(LGF) Formula Elements

Variables

Fault Impedance LG

Fault Impedance LG 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.

Symbol: Z_f(lg)

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Fault Impedance LG

A Phase EMF LG

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

Symbol: E_a(lg)

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find A Phase EMF LG

Positive Sequence Current LG

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

Symbol: I_1(lg)

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Positive Sequence Current LG

Zero Sequence Impedance LG

Zero Sequence Impedance LG consists of a balanced three-phase voltage and current, phasors of which all have the same phase angles and rotate counter clockwise together.

Symbol: Z_0(lg)

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Zero Sequence Impedance LG

Positive Sequence Impedance LG

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

Symbol: Z_1(lg)

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Positive Sequence Impedance LG

Negative Sequence Impedance LG

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

Symbol: Z_2(lg)

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Negative Sequence Impedance LG

Other Formulas to find Fault Impedance LG

Go Fault Impedance using A-Phase Voltage(LGF)

Z f(lg) = \frac{V a(lg)}{I a(lg)}

Go Fault Impedance given Sequence Voltages(LGF)

Z f(lg) = \frac{V 0(lg) + V 1(lg) + V 2(lg)}{3 \cdot I 1(lg)}

Go Fault Impedance using Fault Voltage and A-Phase Current(LGF)

Z f(lg) = \frac{V f(lg)}{I a(lg)} - (\frac{1}{3} \cdot (Z 0(lg) + Z 1(lg) + Z 2(lg)))

Other formulas in Impedance category

Go Zero Sequence Impedance for L-G-F

Z 0(lg) = (- 1) \cdot \frac{V 0(lg)}{I 0(lg)}

Go Positive Sequence Impedance for L-G-F

Z 1(lg) = \frac{E 1(lg) - V 1(lg)}{I 1(lg)}

Go Positive Sequence Impedance using A-Phase EMF (LGF)

Z 1(lg) = (\frac{E 1(lg)}{I 1(lg)}) - (3 \cdot Z f(lg)) - Z 0(lg) - Z 2(lg)

Go Zero Sequence Impedance using A-Phase EMF (LGF)

Z 0(lg) = (\frac{E 1(lg)}{I 0(lg)}) - (3 \cdot Z f(lg)) - Z 1(lg) - Z 2(lg)

How to Evaluate Fault Impedance given A-Phase EMF and Sequence Impedances(LGF)?

Fault Impedance given A-Phase EMF and Sequence Impedances(LGF) evaluator uses Fault Impedance LG = 1/3*((A Phase EMF LG/Positive Sequence Current LG)-(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)) to evaluate the Fault Impedance LG, The Fault Impedance given a-Phase EMF and Sequence Impedances(LGF) formula is defined as the impedance which is connected to the earth. Fault Impedance LG is denoted by Z_f(lg) symbol.

How to evaluate Fault Impedance given A-Phase EMF and Sequence Impedances(LGF) using this online evaluator? To use this online evaluator for Fault Impedance given A-Phase EMF and Sequence Impedances(LGF), enter A Phase EMF LG (E_a(lg)), Positive Sequence Current LG (I_1(lg)), Zero Sequence Impedance LG (Z_0(lg)), Positive Sequence Impedance LG (Z_1(lg)) & Negative Sequence Impedance LG (Z_2(lg)) and hit the calculate button.

FAQs on Fault Impedance given A-Phase EMF and Sequence Impedances(LGF)

What is the formula to find Fault Impedance given A-Phase EMF and Sequence Impedances(LGF)?

The formula of Fault Impedance given A-Phase EMF and Sequence Impedances(LGF) is expressed as Fault Impedance LG = 1/3*((A Phase EMF LG/Positive Sequence Current LG)-(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)). Here is an example- 14.44755 = 1/3*((29.38/2.001)-(8+7.94+(-44.6))).

How to calculate Fault Impedance given A-Phase EMF and Sequence Impedances(LGF)?

With A Phase EMF LG (E_a(lg)), Positive Sequence Current LG (I_1(lg)), Zero Sequence Impedance LG (Z_0(lg)), Positive Sequence Impedance LG (Z_1(lg)) & Negative Sequence Impedance LG (Z_2(lg)) we can find Fault Impedance given A-Phase EMF and Sequence Impedances(LGF) using the formula - Fault Impedance LG = 1/3*((A Phase EMF LG/Positive Sequence Current LG)-(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)).

What are the other ways to Calculate Fault Impedance LG?

Here are the different ways to Calculate Fault Impedance LG-

Fault Impedance LG=A Phase Voltage LG/A-Phase Current LG
Fault Impedance LG=(Zero Sequence Voltage LG+Positive Sequence Voltage LG+Negative Sequence Voltage LG)/(3*Positive Sequence Current LG)
Fault Impedance LG=Fault Voltage LG/A-Phase Current LG-(1/3*(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG))

Can the Fault Impedance given A-Phase EMF and Sequence Impedances(LGF) be negative?

No, the Fault Impedance given A-Phase EMF and Sequence Impedances(LGF), measured in Electric Resistance cannot be negative.

Which unit is used to measure Fault Impedance given A-Phase EMF and Sequence Impedances(LGF)?

Fault Impedance given A-Phase EMF and Sequence Impedances(LGF) is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Fault Impedance given A-Phase EMF and Sequence Impedances(LGF) can be measured.

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Fault Impedance given A-Phase EMF and Sequence Impedances(LGF) Formula

​GoFault Impedance using A-Phase Voltage(LGF) Formula

​GoFault Impedance given Sequence Voltages(LGF) Formula

Fault Impedance given A-Phase EMF and Sequence Impedances(LGF) Example

Fault Impedance given A-Phase EMF and Sequence Impedances(LGF) Solution

Fault Impedance given A-Phase EMF and Sequence Impedances(LGF) Formula Elements

Other Formulas to find Fault Impedance LG

Other formulas in Impedance category

How to Evaluate Fault Impedance given A-Phase EMF and Sequence Impedances(LGF)?

FAQs on Fault Impedance given A-Phase EMF and Sequence Impedances(LGF)

Variable Name

GoFault Impedance using A-Phase Voltage(LGF) Formula

GoFault Impedance given Sequence Voltages(LGF) Formula