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

✖A phase EMF LG is defined as the electromagnetic force of the a-phase in open conductor fault.ⓘ A Phase EMF LG [E_a(lg)]			+10% -10%
✖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.ⓘ Zero Sequence Impedance LG [Z_0(lg)]			+10% -10%
✖Negative Sequence Impedance LG consists of balanced three-phase impedance phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB rotation.ⓘ Negative Sequence Impedance LG [Z_2(lg)]			+10% -10%
✖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.ⓘ Positive Sequence Impedance LG [Z_1(lg)]			+10% -10%

✖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.ⓘ Positive Sequence Voltage using A-Phase EMF and Sequence Impedances(LGF) [V_1(lg)]

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Formula

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

Formula

`"V"_{"1(lg)"} = ("E"_{"a(lg)"}*("Z"_{"0(lg)"}+"Z"_{"2(lg)"}))/("Z"_{"0(lg)"}+"Z"_{"1(lg)"}+"Z"_{"2(lg)"})`

Example

`"37.51947V"=("29.38V"*("8Ω"+"-44.6Ω"))/("8Ω"+"7.94Ω"+"-44.6Ω")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
V_1(lg) = (E_a(lg)*(Z_0(lg)+Z_2(lg)))/(Z_0(lg)+Z_1(lg)+Z_2(lg))
This formula uses 5 Variables

Variables Used

Positive Sequence Voltage LG - (Measured in Volt) - 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.
A Phase EMF LG - (Measured in Volt) - A phase EMF LG is defined as the electromagnetic force of the a-phase in open conductor fault.
Zero Sequence Impedance LG - (Measured in Ohm) - 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.
Negative Sequence Impedance LG - (Measured in Ohm) - Negative Sequence Impedance LG consists of balanced three-phase impedance phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB rotation.
Positive Sequence Impedance LG - (Measured in Ohm) - 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.

STEP 1: Convert Input(s) to Base Unit

A Phase EMF LG: 29.38 Volt --> 29.38 Volt No Conversion Required
Zero Sequence Impedance LG: 8 Ohm --> 8 Ohm No Conversion Required
Negative Sequence Impedance LG: -44.6 Ohm --> -44.6 Ohm No Conversion Required
Positive Sequence Impedance LG: 7.94 Ohm --> 7.94 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_1(lg) = (E_a(lg)*(Z_0(lg)+Z_2(lg)))/(Z_0(lg)+Z_1(lg)+Z_2(lg)) --> (29.38*(8+(-44.6)))/(8+7.94+(-44.6))

Evaluating ... ...

V_1(lg) = 37.5194696441033

STEP 3: Convert Result to Output's Unit

37.5194696441033 Volt --> No Conversion Required

FINAL ANSWER

37.5194696441033 ≈ 37.51947 Volt <-- Positive 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 » Positive Sequence Voltage using A-Phase EMF and Sequence Impedances(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

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

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

Positive Sequence Voltage using A-Phase EMF and Sequence Impedances(LGF) calculator uses 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) to calculate the Positive Sequence Voltage LG, The Positive Sequence Voltage using a-Phase EMF and Sequence Impedances(LGF) formula consists of balanced three-phase voltage and current phasors which are exactly at ₁₂₀ degrees apart rotating counterclockwise in ACB rotation. Positive Sequence Voltage LG is denoted by V_1(lg) symbol.

How to calculate Positive Sequence Voltage using A-Phase EMF and Sequence Impedances(LGF) using this online calculator? To use this online calculator for Positive Sequence Voltage using A-Phase EMF and Sequence Impedances(LGF), enter A Phase EMF LG (E_a(lg)), Zero Sequence Impedance LG (Z_0(lg)), Negative Sequence Impedance LG (Z_2(lg)) & Positive Sequence Impedance LG (Z_1(lg)) and hit the calculate button. Here is how the Positive Sequence Voltage using A-Phase EMF and Sequence Impedances(LGF) calculation can be explained with given input values -> 37.51947 = (29.38*(8+(-44.6)))/(8+7.94+(-44.6)).

FAQ

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

The Positive Sequence Voltage using a-Phase EMF and Sequence Impedances(LGF) formula consists of balanced three-phase voltage and current phasors which are exactly at ₁₂₀ degrees apart rotating counterclockwise in ACB rotation and is represented as V_1(lg) = (E_a(lg)*(Z_0(lg)+Z_2(lg)))/(Z_0(lg)+Z_1(lg)+Z_2(lg)) or 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). A phase EMF LG is defined as the electromagnetic force of the a-phase in open conductor fault, 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, Negative Sequence Impedance LG consists of balanced three-phase impedance phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB rotation & 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.

How to calculate Positive Sequence Voltage using A-Phase EMF and Sequence Impedances(LGF)?

The Positive Sequence Voltage using a-Phase EMF and Sequence Impedances(LGF) formula consists of balanced three-phase voltage and current phasors which are exactly at ₁₂₀ degrees apart rotating counterclockwise in ACB rotation is calculated using 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). To calculate Positive Sequence Voltage using A-Phase EMF and Sequence Impedances(LGF), you need A Phase EMF LG (E_a(lg)), Zero Sequence Impedance LG (Z_0(lg)), Negative Sequence Impedance LG (Z_2(lg)) & Positive Sequence Impedance LG (Z_1(lg)). With our tool, you need to enter the respective value for A Phase EMF LG, Zero Sequence Impedance LG, Negative Sequence Impedance LG & Positive Sequence Impedance 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 Positive Sequence Voltage LG?

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

Positive Sequence Voltage LG = EMF Induced in Primary Winding LG-(Positive Sequence Impedance LG*Positive Sequence Current LG)
Positive Sequence Voltage LG = 3*Fault Impedance LG*Positive Sequence Current LG

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