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Fault Impedance using Fault Voltage and A-Phase Current(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{V f(lg)}{I a(lg)} - (\frac{1}{3} \cdot (Z 0(lg) + Z 1(lg) + Z 2(lg)))

Z_f(lg) - Fault Impedance LG?V_f(lg) - Fault Voltage LG?I_a(lg) - A-Phase 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 using Fault Voltage and A-Phase Current(LGF) Example

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Here is how the Fault Impedance using Fault Voltage and A-Phase Current(LGF) equation looks like with Values.

Here is how the Fault Impedance using Fault Voltage and A-Phase Current(LGF) equation looks like with Units.

Here is how the Fault Impedance using Fault Voltage and A-Phase Current(LGF) equation looks like.

16.8303 = \frac{15.5}{2.13} - (\frac{1}{3} \cdot (8 + 7.94 + -44.6))

16.8303Ω = \frac{15.5V}{2.13A} - (\frac{1}{3} \cdot (8Ω + 7.94Ω + -44.6Ω))

16.8303 = \frac{15.5}{2.13} - (\frac{1}{3} \cdot (8 + 7.94 + -44.6))

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

Follow our step by step solution on how to calculate Fault Impedance using Fault Voltage and A-Phase Current(LGF)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Z f(lg) = \frac{15.5V}{2.13A} - (\frac{1}{3} \cdot (8Ω + 7.94Ω + -44.6Ω))

Next Step Prepare to Evaluate

∴

Z f(lg) = \frac{15.5}{2.13} - (\frac{1}{3} \cdot (8 + 7.94 + -44.6))

Next Step Evaluate

∴

Z f(lg) = 16.8303286384977Ω

LAST Step Rounding Answer

∴

Z f(lg) = 16.8303Ω

Fault Impedance using Fault Voltage and A-Phase Current(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

Fault Voltage LG

Fault Voltage LG is defined when an electrical fault occurs and results in the deviation of voltage.

Symbol: V_f(lg)

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Fault Voltage LG

A-Phase Current LG

A-phase Current LG is the current that flows into the a-phase in open conductor fault.

Symbol: I_a(lg)

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find A-Phase 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 given A-Phase EMF and Sequence Impedances(LGF)

Z f(lg) = \frac{1}{3} \cdot ((\frac{E a(lg)}{I 1(lg)}) - (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 using Fault Voltage and A-Phase Current(LGF)?

Fault Impedance using Fault Voltage and A-Phase Current(LGF) evaluator uses Fault Impedance LG = Fault Voltage LG/A-Phase Current LG-(1/3*(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)) to evaluate the Fault Impedance LG, The Fault Impedance using Fault Voltage and a-Phase Current(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 using Fault Voltage and A-Phase Current(LGF) using this online evaluator? To use this online evaluator for Fault Impedance using Fault Voltage and A-Phase Current(LGF), enter Fault Voltage LG (V_f(lg)), A-Phase Current LG (I_a(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 using Fault Voltage and A-Phase Current(LGF)

What is the formula to find Fault Impedance using Fault Voltage and A-Phase Current(LGF)?

The formula of Fault Impedance using Fault Voltage and A-Phase Current(LGF) is expressed as Fault Impedance LG = Fault Voltage LG/A-Phase Current LG-(1/3*(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)). Here is an example- 16.83033 = 15.5/2.13-(1/3*(8+7.94+(-44.6))).

How to calculate Fault Impedance using Fault Voltage and A-Phase Current(LGF)?

With Fault Voltage LG (V_f(lg)), A-Phase Current LG (I_a(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 using Fault Voltage and A-Phase Current(LGF) using the formula - Fault Impedance LG = Fault Voltage LG/A-Phase Current LG-(1/3*(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=1/3*((A Phase EMF LG/Positive Sequence Current LG)-(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG))

Can the Fault Impedance using Fault Voltage and A-Phase Current(LGF) be negative?

No, the Fault Impedance using Fault Voltage and A-Phase Current(LGF), measured in Electric Resistance cannot be negative.

Which unit is used to measure Fault Impedance using Fault Voltage and A-Phase Current(LGF)?

Fault Impedance using Fault Voltage and A-Phase Current(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 using Fault Voltage and A-Phase Current(LGF) can be measured.

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

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

​GoFault Impedance given Sequence Voltages(LGF) Formula

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

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

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

Other Formulas to find Fault Impedance LG

Other formulas in Impedance category

How to Evaluate Fault Impedance using Fault Voltage and A-Phase Current(LGF)?

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

Variable Name

GoFault Impedance using A-Phase Voltage(LGF) Formula

GoFault Impedance given Sequence Voltages(LGF) Formula