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

✖A phase EMF is defined as the electromagnetic force of the a-phase in open conductor fault.ⓘ A Phase EMF [E_a]			+10% -10%
✖Negative Sequence Impedance consists of balanced three-phase impedance phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB rotation.ⓘ Negative Sequence Impedance [Z₂]			+10% -10%
✖Positive Sequence Impedance consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation.ⓘ Positive Sequence Impedance [Z₁]			+10% -10%

✖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 using A-Phase EMF and Sequence Impedances(LLF) [V₁]

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Formula

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

Formula

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

Example

`"35.74326V"=("29.38V"*"-44.6Ω")/("7.94Ω"+"-44.6Ω")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Positive Sequence Voltage = (A Phase EMF*Negative Sequence Impedance)/(Positive Sequence Impedance+Negative Sequence Impedance)
V₁ = (E_a*Z₂)/(Z₁+Z₂)
This formula uses 4 Variables

Variables Used

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.
A Phase EMF - (Measured in Volt) - A phase EMF is defined as the electromagnetic force of the a-phase in open conductor fault.
Negative Sequence Impedance - (Measured in Ohm) - Negative Sequence Impedance consists of balanced three-phase impedance phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB rotation.
Positive Sequence Impedance - (Measured in Ohm) - Positive Sequence Impedance 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: 29.38 Volt --> 29.38 Volt No Conversion Required
Negative Sequence Impedance: -44.6 Ohm --> -44.6 Ohm No Conversion Required
Positive Sequence Impedance: 7.94 Ohm --> 7.94 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₁ = (E_a*Z₂)/(Z₁+Z₂) --> (29.38*(-44.6))/(7.94+(-44.6))

Evaluating ... ...

V₁ = 35.7432624113475

STEP 3: Convert Result to Output's Unit

35.7432624113475 Volt --> No Conversion Required

FINAL ANSWER

35.7432624113475 ≈ 35.74326 Volt <-- Positive Sequence Voltage

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power System » Fault » Shunt Faults » Unsymmetrical Faults » L-L Fault » Voltage & EMF » Positive Sequence Voltage using A-Phase EMF and Sequence Impedances(LLF)

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< 13 Voltage & EMF Calculators

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

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

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

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

A-Phase EMF using Positive Sequence Voltage(LLF)

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

A-Phase EMF using Positive Sequence Current and Sequence Impedances(LLF)

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

A-Phase EMF using Fault Current(LLF)

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

Positive Sequence Voltage (LLF)

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

Negative Sequence Voltage (LLF)

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

Positive Sequence Voltage using A-Phase EMF and Positive Sequence Current(LLF)

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

A-Phase EMF using Positive Sequence Current and Voltage(LLF)

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

C-Phase Voltage using C-Phase Current (LLF)

Go C Phase Voltage = B Phase Voltage+(Fault Impedance*C Phase Current)

B-Phase Voltage using C-Phase Current (LLF)

Go B Phase Voltage = C Phase Voltage-(Fault Impedance*C Phase Current)

B-Phase Voltage (LLF)

Go B Phase Voltage = (Fault Impedance*B Phase Current)+C Phase Voltage

C-Phase Voltage (LLF)

Go C Phase Voltage = B Phase Voltage-(Fault Impedance*B Phase Current)

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

Positive Sequence Voltage = (A Phase EMF*Negative Sequence Impedance)/(Positive Sequence Impedance+Negative Sequence Impedance)
V₁ = (E_a*Z₂)/(Z₁+Z₂)

What is a line to line fault?

A line-to-line fault, also known as a three-phase fault, is a type of electrical fault that occurs in a three-phase power system. This type of fault occurs when a failure occurs between two phases of the power system, causing a current to flow from one phase to the other.

How to Calculate Positive Sequence Voltage using A-Phase EMF and Sequence Impedances(LLF)?

Positive Sequence Voltage using A-Phase EMF and Sequence Impedances(LLF) calculator uses Positive Sequence Voltage = (A Phase EMF*Negative Sequence Impedance)/(Positive Sequence Impedance+Negative Sequence Impedance) to calculate the Positive Sequence Voltage, The Positive Sequence Voltage using A-phase EMF and Sequence Impedances(LLF) formula is defined as the voltage that is present in one phase of a three-phase electrical power system with respect to the positive sequence components of the system. Positive Sequence Voltage is denoted by V₁ symbol.

How to calculate Positive Sequence Voltage using A-Phase EMF and Sequence Impedances(LLF) using this online calculator? To use this online calculator for Positive Sequence Voltage using A-Phase EMF and Sequence Impedances(LLF), enter A Phase EMF (E_a), Negative Sequence Impedance (Z₂) & Positive Sequence Impedance (Z₁) and hit the calculate button. Here is how the Positive Sequence Voltage using A-Phase EMF and Sequence Impedances(LLF) calculation can be explained with given input values -> 35.74326 = (29.38*(-44.6))/(7.94+(-44.6)).

FAQ

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

The Positive Sequence Voltage using A-phase EMF and Sequence Impedances(LLF) formula is defined as the voltage that is present in one phase of a three-phase electrical power system with respect to the positive sequence components of the system and is represented as V₁ = (E_a*Z₂)/(Z₁+Z₂) or Positive Sequence Voltage = (A Phase EMF*Negative Sequence Impedance)/(Positive Sequence Impedance+Negative Sequence Impedance). A phase EMF is defined as the electromagnetic force of the a-phase in open conductor fault, Negative Sequence Impedance consists of balanced three-phase impedance phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB rotation & Positive Sequence Impedance 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(LLF)?

The Positive Sequence Voltage using A-phase EMF and Sequence Impedances(LLF) formula is defined as the voltage that is present in one phase of a three-phase electrical power system with respect to the positive sequence components of the system is calculated using Positive Sequence Voltage = (A Phase EMF*Negative Sequence Impedance)/(Positive Sequence Impedance+Negative Sequence Impedance). To calculate Positive Sequence Voltage using A-Phase EMF and Sequence Impedances(LLF), you need A Phase EMF (E_a), Negative Sequence Impedance (Z₂) & Positive Sequence Impedance (Z₁). With our tool, you need to enter the respective value for A Phase EMF, Negative Sequence Impedance & Positive Sequence Impedance 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?

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

Positive Sequence Voltage = (Fault Impedance*Positive Sequence Current)+Negative Sequence Voltage
Positive Sequence Voltage = A Phase EMF-Positive Sequence Impedance*Positive Sequence Current

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