Zero Sequence Voltage using Fault Impedance (LLGF) Calculator

✖Positive Sequence Voltage consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation.ⓘ Positive Sequence Voltage [V₁]			+10% -10%
✖Fault Impedance 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.ⓘ Fault Impedance [Z_f]			+10% -10%
✖Zero Sequence Current consists of a balanced three-phase current, phasors of which all have the same phase angles and rotate counterclockwise together.ⓘ Zero Sequence Current [I₀]			+10% -10%

✖Zero Sequence Voltage consists of a balanced three-phase voltage and current, phasors of which all have the same phase angles and rotate counterclockwise together.ⓘ Zero Sequence Voltage using Fault Impedance (LLGF) [V₀]

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Formula

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Zero Sequence Voltage using Fault Impedance (LLGF)

Formula

`"V"_{"0"} = "V"_{"1"}+(3*"Z"_{"f"}*"I"_{"0"})`

Example

`"27.4V"="17.5V"+(3*"1.5Ω"*"2.20A")`

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Zero Sequence Voltage using Fault Impedance (LLGF) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Zero Sequence Voltage = Positive Sequence Voltage+(3*Fault Impedance*Zero Sequence Current)
V₀ = V₁+(3*Z_f*I₀)
This formula uses 4 Variables

Variables Used

Zero Sequence Voltage - (Measured in Volt) - Zero Sequence Voltage consists of a balanced three-phase voltage and current, phasors of which all have the same phase angles and rotate counterclockwise together.
Positive Sequence Voltage - (Measured in Volt) - Positive Sequence Voltage consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation.
Fault Impedance - (Measured in Ohm) - Fault Impedance 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.
Zero Sequence Current - (Measured in Ampere) - Zero Sequence Current consists of a balanced three-phase current, phasors of which all have the same phase angles and rotate counterclockwise together.

STEP 1: Convert Input(s) to Base Unit

Positive Sequence Voltage: 17.5 Volt --> 17.5 Volt No Conversion Required
Fault Impedance: 1.5 Ohm --> 1.5 Ohm No Conversion Required
Zero Sequence Current: 2.2 Ampere --> 2.2 Ampere No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₀ = V₁+(3*Z_f*I₀) --> 17.5+(3*1.5*2.2)

Evaluating ... ...

V₀ = 27.4

STEP 3: Convert Result to Output's Unit

27.4 Volt --> No Conversion Required

FINAL ANSWER

27.4 Volt <-- Zero Sequence Voltage

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electrical » Power System » Fault » Shunt Faults » Unsymmetrical Faults » L-L-G Fault » Voltage & EMF » Zero Sequence Voltage using Fault Impedance (LLGF)

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< 15 Voltage & EMF Calculators

A-Phase EMF using Positive Sequence Voltage (LLGF)

Go A Phase EMF = Positive Sequence Voltage+(Positive Sequence Current*Positive Sequence Impedance)

Positive Sequence Voltage using A-Phase EMF(LLGF)

Go Positive Sequence Voltage = A Phase EMF-Positive Sequence Impedance*Positive Sequence Current

Positive Sequence Voltage using Fault Impedance (LLGF)

Go Positive Sequence Voltage = Zero Sequence Voltage-(3*Fault Impedance*Zero Sequence Current)

Zero Sequence Voltage using Fault Impedance (LLGF)

Go Zero Sequence Voltage = Positive Sequence Voltage+(3*Fault Impedance*Zero Sequence Current)

A-Phase Voltage using Sequence Voltages(LLGF)

Go A Phase Voltage = Zero Sequence Voltage+Positive Sequence Voltage+Negative Sequence Voltage

Negative Sequence Voltage using Negative Sequence Current (LLGF)

Go Negative Sequence Voltage = (-1)*Negative Sequence Current*Negative Sequence Impedance

Zero Sequence Voltage using B-Phase Voltage (LLGF)

Go Zero Sequence Voltage = B Phase Voltage+Positive Sequence Voltage

B-Phase Voltage using Zero-Sequence Voltage (LLGF)

Go B Phase Voltage = Zero Sequence Voltage-Positive Sequence Voltage

Zero Sequence Voltage using A-Phase Voltage (LLGF)

Go Zero Sequence Voltage = (A Phase Voltage+(2*B Phase Voltage))/3

A-Phase Voltage using Zero Sequence Voltage (LLGF)

Go A Phase Voltage = (3*Zero Sequence Voltage)-(2*B Phase Voltage)

B-Phase Voltage using A-Phase Voltage(LLGF)

Go B Phase Voltage = (3*Zero Sequence Voltage-A Phase Voltage)/2

B-Phase Voltage using Zero Sequence Current (LLGF)

Go B Phase Voltage = 3*Zero Sequence Current*Fault Impedance

C-Phase Voltage using Zero Sequence Current (LLGF)

Go C Phase Voltage = 3*Zero Sequence Current*Fault Impedance

B-Phase Voltage using Fault Current (LLGF)

Go B Phase Voltage = Fault Impedance*Fault Current

C-Phase Voltage using Fault Current (LLGF)

Go C Phase Voltage = Fault Current*Fault Impedance

Zero Sequence Voltage using Fault Impedance (LLGF) Formula

Zero Sequence Voltage = Positive Sequence Voltage+(3*Fault Impedance*Zero Sequence Current)
V₀ = V₁+(3*Z_f*I₀)

What are the positive and negative Sequence Components?

The positive sequence consists of balanced three-phase voltage and current phasors which are exactly at ₁₂₀ degrees apart rotating counterclockwise in ABC rotation. The negative sequence consists of balanced three-phase voltage and current phasors which are exactly at ₁₂₀ degrees apart rotating counterclockwise in ACB rotation.

What is fault impedance and current?

Fault Current for the double line to ground fault(LLGF) is defined as the current that flows into the fault Impedance and fault impedance is defined as the impedance which is connected to the earth.

How to Calculate Zero Sequence Voltage using Fault Impedance (LLGF)?

Zero Sequence Voltage using Fault Impedance (LLGF) calculator uses Zero Sequence Voltage = Positive Sequence Voltage+(3*Fault Impedance*Zero Sequence Current) to calculate the Zero Sequence Voltage, The Zero Sequence voltage using fault impedance (LLGF) formula is consists of a balanced three-phase current, phasors of which all have the same phase angles and rotate counterclockwise together. Zero Sequence Voltage is denoted by V₀ symbol.

How to calculate Zero Sequence Voltage using Fault Impedance (LLGF) using this online calculator? To use this online calculator for Zero Sequence Voltage using Fault Impedance (LLGF), enter Positive Sequence Voltage (V₁), Fault Impedance (Z_f) & Zero Sequence Current (I₀) and hit the calculate button. Here is how the Zero Sequence Voltage using Fault Impedance (LLGF) calculation can be explained with given input values -> 23.4 = 17.5+(3*1.5*2.2).

FAQ

What is Zero Sequence Voltage using Fault Impedance (LLGF)?

The Zero Sequence voltage using fault impedance (LLGF) formula is consists of a balanced three-phase current, phasors of which all have the same phase angles and rotate counterclockwise together and is represented as V₀ = V₁+(3*Z_f*I₀) or Zero Sequence Voltage = Positive Sequence Voltage+(3*Fault Impedance*Zero Sequence Current). Positive Sequence Voltage consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation, Fault Impedance 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 & Zero Sequence Current consists of a balanced three-phase current, phasors of which all have the same phase angles and rotate counterclockwise together.

How to calculate Zero Sequence Voltage using Fault Impedance (LLGF)?

The Zero Sequence voltage using fault impedance (LLGF) formula is consists of a balanced three-phase current, phasors of which all have the same phase angles and rotate counterclockwise together is calculated using Zero Sequence Voltage = Positive Sequence Voltage+(3*Fault Impedance*Zero Sequence Current). To calculate Zero Sequence Voltage using Fault Impedance (LLGF), you need Positive Sequence Voltage (V₁), Fault Impedance (Z_f) & Zero Sequence Current (I₀). With our tool, you need to enter the respective value for Positive Sequence Voltage, Fault Impedance & Zero Sequence Current 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 Zero Sequence Voltage?

In this formula, Zero Sequence Voltage uses Positive Sequence Voltage, Fault Impedance & Zero Sequence Current. We can use 2 other way(s) to calculate the same, which is/are as follows -

Zero Sequence Voltage = (A Phase Voltage+(2*B Phase Voltage))/3
Zero Sequence Voltage = B Phase Voltage+Positive Sequence Voltage

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