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Fault Impedance given Sequence Voltages(LGF) Formula

GoFault Impedance using A-Phase Voltage(LGF) Formula

GoFault Impedance given A-Phase EMF and Sequence Impedances(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 0(lg) + V 1(lg) + V 2(lg)}{3 \cdot I 1(lg)}

Z_f(lg) - Fault Impedance LG?V_0(lg) - Zero Sequence Voltage LG?V_1(lg) - Positive Sequence Voltage LG?V_2(lg) - Negative Sequence Voltage LG?I_1(lg) - Positive Sequence Current LG?

Fault Impedance given Sequence Voltages(LGF) Example

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Here is how the Fault Impedance given Sequence Voltages(LGF) equation looks like with Values.

Here is how the Fault Impedance given Sequence Voltages(LGF) equation looks like with Units.

Here is how the Fault Impedance given Sequence Voltages(LGF) equation looks like.

8.5217 = \frac{17.6 + 17.5 + 16.056}{3 \cdot 2.001}

8.5217Ω = \frac{17.6V + 17.5V + 16.056V}{3 \cdot 2.001A}

8.5217 = \frac{17.6 + 17.5 + 16.056}{3 \cdot 2.001}

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Fault Impedance given Sequence Voltages(LGF) Solution

Follow our step by step solution on how to calculate Fault Impedance given Sequence Voltages(LGF)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Z f(lg) = \frac{17.6V + 17.5V + 16.056V}{3 \cdot 2.001A}

Next Step Prepare to Evaluate

∴

Z f(lg) = \frac{17.6 + 17.5 + 16.056}{3 \cdot 2.001}

Next Step Evaluate

∴

Z f(lg) = 8.52173913043478Ω

LAST Step Rounding Answer

∴

Z f(lg) = 8.5217Ω

Fault Impedance given Sequence Voltages(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

Zero Sequence Voltage LG

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

Symbol: V_0(lg)

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Zero Sequence Voltage LG

Positive Sequence Voltage LG

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

Symbol: V_1(lg)

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Positive Sequence Voltage LG

Negative Sequence Voltage LG

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

Symbol: V_2(lg)

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Negative Sequence Voltage 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

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 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)))

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 Sequence Voltages(LGF)?

Fault Impedance given Sequence Voltages(LGF) evaluator uses Fault Impedance LG = (Zero Sequence Voltage LG+Positive Sequence Voltage LG+Negative Sequence Voltage LG)/(3*Positive Sequence Current LG) to evaluate the Fault Impedance LG, The Fault Impedance given Sequence Voltages(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 Sequence Voltages(LGF) using this online evaluator? To use this online evaluator for Fault Impedance given Sequence Voltages(LGF), enter Zero Sequence Voltage LG (V_0(lg)), Positive Sequence Voltage LG (V_1(lg)), Negative Sequence Voltage LG (V_2(lg)) & Positive Sequence Current LG (I_1(lg)) and hit the calculate button.

FAQs on Fault Impedance given Sequence Voltages(LGF)

What is the formula to find Fault Impedance given Sequence Voltages(LGF)?

The formula of Fault Impedance given Sequence Voltages(LGF) is expressed as Fault Impedance LG = (Zero Sequence Voltage LG+Positive Sequence Voltage LG+Negative Sequence Voltage LG)/(3*Positive Sequence Current LG). Here is an example- 8.521739 = (17.6+17.5+16.056)/(3*2.001).

How to calculate Fault Impedance given Sequence Voltages(LGF)?

With Zero Sequence Voltage LG (V_0(lg)), Positive Sequence Voltage LG (V_1(lg)), Negative Sequence Voltage LG (V_2(lg)) & Positive Sequence Current LG (I_1(lg)) we can find Fault Impedance given Sequence Voltages(LGF) using the formula - Fault Impedance LG = (Zero Sequence Voltage LG+Positive Sequence Voltage LG+Negative Sequence Voltage LG)/(3*Positive Sequence Current 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=1/3*((A Phase EMF LG/Positive Sequence Current LG)-(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance 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 Sequence Voltages(LGF) be negative?

No, the Fault Impedance given Sequence Voltages(LGF), measured in Electric Resistance cannot be negative.

Which unit is used to measure Fault Impedance given Sequence Voltages(LGF)?

Fault Impedance given Sequence Voltages(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 Sequence Voltages(LGF) can be measured.

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Fault Impedance given Sequence Voltages(LGF) Formula

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

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

Fault Impedance given Sequence Voltages(LGF) Example

Fault Impedance given Sequence Voltages(LGF) Solution

Fault Impedance given Sequence Voltages(LGF) Formula Elements

Other Formulas to find Fault Impedance LG

Other formulas in Impedance category

How to Evaluate Fault Impedance given Sequence Voltages(LGF)?

FAQs on Fault Impedance given Sequence Voltages(LGF)

Variable Name

GoFault Impedance using A-Phase Voltage(LGF) Formula

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