Zero Sequence Voltage using Phase Voltages(LGF) Calculator

✖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.ⓘ Fault Impedance LG [Z_f(lg)]			+10% -10%
✖A-phase Current LG is the current that flows into the a-phase in open conductor fault.ⓘ A-Phase Current LG [I_a(lg)]			+10% -10%
✖B phase Voltage LG is defined as the voltage of b-phase.ⓘ B Phase Voltage LG [V_b(lg)]			+10% -10%
✖C phase Voltage LG is defined as the voltage of c-phase.ⓘ C Phase Voltage LG [V_c(lg)]			+10% -10%

✖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.ⓘ Zero Sequence Voltage using Phase Voltages(LGF) [V_0(lg)]

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Formula

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Zero Sequence Voltage using Phase Voltages(LGF)

Formula

`"V"_{"0(lg)"} = 1/3*("Z"_{"f(lg)"}*"I"_{"a(lg)"}+"V"_{"b(lg)"}+"V"_{"c(lg)"})`

Example

`"12.29833V"=1/3*("1.5Ω"*"2.13A"+"16.5V"+"17.2V")`

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Zero Sequence Voltage using Phase Voltages(LGF) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Zero Sequence Voltage LG = 1/3*(Fault Impedance LG*A-Phase Current LG+B Phase Voltage LG+C Phase Voltage LG)
V_0(lg) = 1/3*(Z_f(lg)*I_a(lg)+V_b(lg)+V_c(lg))
This formula uses 5 Variables

Variables Used

Zero Sequence Voltage LG - (Measured in Volt) - 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.
Fault Impedance LG - (Measured in Ohm) - 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.
A-Phase Current LG - (Measured in Ampere) - A-phase Current LG is the current that flows into the a-phase in open conductor fault.
B Phase Voltage LG - (Measured in Volt) - B phase Voltage LG is defined as the voltage of b-phase.
C Phase Voltage LG - (Measured in Volt) - C phase Voltage LG is defined as the voltage of c-phase.

STEP 1: Convert Input(s) to Base Unit

Fault Impedance LG: 1.5 Ohm --> 1.5 Ohm No Conversion Required
A-Phase Current LG: 2.13 Ampere --> 2.13 Ampere No Conversion Required
B Phase Voltage LG: 16.5 Volt --> 16.5 Volt No Conversion Required
C Phase Voltage LG: 17.2 Volt --> 17.2 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_0(lg) = 1/3*(Z_f(lg)*I_a(lg)+V_b(lg)+V_c(lg)) --> 1/3*(1.5*2.13+16.5+17.2)

Evaluating ... ...

V_0(lg) = 12.2983333333333

STEP 3: Convert Result to Output's Unit

12.2983333333333 Volt --> No Conversion Required

FINAL ANSWER

12.2983333333333 ≈ 12.29833 Volt <-- Zero Sequence Voltage LG

(Calculation completed in 00.004 seconds)

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

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< 16 Voltage & EMF Calculators

Positive Sequence Voltage using A-Phase EMF and Sequence Impedances(LGF)

Go Positive Sequence Voltage LG = (A Phase EMF LG*(Zero Sequence Impedance LG+Negative Sequence Impedance LG))/(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)

Negative Sequence Voltage using A-Phase EMF and Sequence Impedances(LGF)

Go Negative Sequence Voltage LG = (-A Phase EMF LG*Negative Sequence Impedance LG)/(Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)

A-Phase EMF using Negative Sequence Current (LGF)

Go A Phase EMF LG = Negative Sequence Current LG*((3*Fault Impedance LG)+Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)

A-Phase EMF using Positive Sequence Current(LGF)

Go A Phase EMF LG = Positive Sequence Current LG*((3*Fault Impedance LG)+Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)

A-Phase EMF using Zero Sequence Current (LGF)

Go A Phase EMF LG = Zero Sequence Current LG*((3*Fault Impedance LG)+Zero Sequence Impedance LG+Positive Sequence Impedance LG+Negative Sequence Impedance LG)

Zero Sequence Voltage using Positive Sequence Current

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

Zero Sequence Voltage using A-Phase Current (LGF)

Go Zero Sequence Voltage LG = (Fault Impedance LG*A-Phase Current LG)-(Negative Sequence Voltage LG)-(Positive Sequence Voltage LG)

Negative Sequence Voltage using A-Phase Current (LGF)

Go Negative Sequence Voltage LG = (Fault Impedance LG*A-Phase Current LG)-Positive Sequence Voltage LG-Zero Sequence Voltage LG

Zero Sequence Voltage using Phase Voltages(LGF)

Go Zero Sequence Voltage LG = 1/3*(Fault Impedance LG*A-Phase Current LG+B Phase Voltage LG+C Phase Voltage LG)

Positive Sequence Voltage for L-G-F

Go Positive Sequence Voltage LG = EMF Induced in Primary Winding LG-(Positive Sequence Impedance LG*Positive Sequence Current LG)

A-Phase EMF using Positive Sequence Voltage (LGF)

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

A-Phase Voltage using Sequence Voltages(LGF)

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

Negative Sequence Voltage for LGF

Go Negative Sequence Voltage LG = -Negative Sequence Impedance LG*Negative Sequence Current LG

Positive Sequence Voltage using Positive Sequence Current

Go Positive Sequence Voltage LG = 3*Fault Impedance LG*Positive Sequence Current LG

Zero Sequence Voltage for LGF

Go Zero Sequence Voltage LG = -Zero Sequence Impedance LG*Zero Sequence Current LG

A-Phase Voltage(LGF)

Go A Phase Voltage LG = Fault Impedance LG*A-Phase Current LG

Zero Sequence Voltage using Phase Voltages(LGF) Formula

Zero Sequence Voltage LG = 1/3*(Fault Impedance LG*A-Phase Current LG+B Phase Voltage LG+C Phase Voltage LG)
V_0(lg) = 1/3*(Z_f(lg)*I_a(lg)+V_b(lg)+V_c(lg))

What are the 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. Zero sequence consists of a balanced three-phase voltage and current, phasors of which all have the same phase angles and rotate counterclockwise together.

How to Calculate Zero Sequence Voltage using Phase Voltages(LGF)?

Zero Sequence Voltage using Phase Voltages(LGF) calculator uses Zero Sequence Voltage LG = 1/3*(Fault Impedance LG*A-Phase Current LG+B Phase Voltage LG+C Phase Voltage LG) to calculate the Zero Sequence Voltage LG, The Zero Sequence Voltage using Phase Voltages(LGF) formula consists of balanced three-phase voltage phasors which are exactly at ₁₂₀ degrees apart rotating counterclockwise in ABC rotation. Zero Sequence Voltage LG is denoted by V_0(lg) symbol.

How to calculate Zero Sequence Voltage using Phase Voltages(LGF) using this online calculator? To use this online calculator for Zero Sequence Voltage using Phase Voltages(LGF), enter Fault Impedance LG (Z_f(lg)), A-Phase Current LG (I_a(lg)), B Phase Voltage LG (V_b(lg)) & C Phase Voltage LG (V_c(lg)) and hit the calculate button. Here is how the Zero Sequence Voltage using Phase Voltages(LGF) calculation can be explained with given input values -> 12.29833 = 1/3*(1.5*2.13+16.5+17.2).

FAQ

What is Zero Sequence Voltage using Phase Voltages(LGF)?

The Zero Sequence Voltage using Phase Voltages(LGF) formula consists of balanced three-phase voltage phasors which are exactly at ₁₂₀ degrees apart rotating counterclockwise in ABC rotation and is represented as V_0(lg) = 1/3*(Z_f(lg)*I_a(lg)+V_b(lg)+V_c(lg)) or Zero Sequence Voltage LG = 1/3*(Fault Impedance LG*A-Phase Current LG+B Phase Voltage LG+C Phase Voltage 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, A-phase Current LG is the current that flows into the a-phase in open conductor fault, B phase Voltage LG is defined as the voltage of b-phase & C phase Voltage LG is defined as the voltage of c-phase.

How to calculate Zero Sequence Voltage using Phase Voltages(LGF)?

The Zero Sequence Voltage using Phase Voltages(LGF) formula consists of balanced three-phase voltage phasors which are exactly at ₁₂₀ degrees apart rotating counterclockwise in ABC rotation is calculated using Zero Sequence Voltage LG = 1/3*(Fault Impedance LG*A-Phase Current LG+B Phase Voltage LG+C Phase Voltage LG). To calculate Zero Sequence Voltage using Phase Voltages(LGF), you need Fault Impedance LG (Z_f(lg)), A-Phase Current LG (I_a(lg)), B Phase Voltage LG (V_b(lg)) & C Phase Voltage LG (V_c(lg)). With our tool, you need to enter the respective value for Fault Impedance LG, A-Phase Current LG, B Phase Voltage LG & C Phase Voltage LG 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 LG?

In this formula, Zero Sequence Voltage LG uses Fault Impedance LG, A-Phase Current LG, B Phase Voltage LG & C Phase Voltage LG. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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