Fault Impedance using A-Phase Current Solution

STEP 0: Pre-Calculation Summary
Formula Used
Fault Impedance Line = (Positive Sequence Voltage Line+Negative Sequence Voltage Line+Zero Sequence Voltage Line)/A-Phase Current Line
Zf(line) = (V1(line)+V2(line)+V0(line))/Ia(line)
This formula uses 5 Variables
Variables Used
Fault Impedance Line - (Measured in Ohm) - Fault Impedance Line is defined as the impedance that caused the fault.
Positive Sequence Voltage Line - (Measured in Volt) - Positive Sequence Voltage Line is consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation.
Negative Sequence Voltage Line - (Measured in Volt) - Negative Sequence Voltage Line is consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB rotation.
Zero Sequence Voltage Line - (Measured in Volt) - Zero Sequence Voltage Line is consists of a balanced three-phase voltage and current, phasors of which all have the same phase angles and rotate counterclockwise together.
A-Phase Current Line - (Measured in Ampere) - A-phase Current Line is the current that flows into the a-phase in open conductor fault.
STEP 1: Convert Input(s) to Base Unit
Positive Sequence Voltage Line: 13.51 Volt --> 13.51 Volt No Conversion Required
Negative Sequence Voltage Line: 16.056 Volt --> 16.056 Volt No Conversion Required
Zero Sequence Voltage Line: 17.5 Volt --> 17.5 Volt No Conversion Required
A-Phase Current Line: 6.01 Ampere --> 6.01 Ampere No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Zf(line) = (V1(line)+V2(line)+V0(line))/Ia(line) --> (13.51+16.056+17.5)/6.01
Evaluating ... ...
Zf(line) = 7.83128119800333
STEP 3: Convert Result to Output's Unit
7.83128119800333 Ohm --> No Conversion Required
FINAL ANSWER
7.83128119800333 7.831281 Ohm <-- Fault Impedance Line
(Calculation completed in 00.004 seconds)

Credits

Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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7 Line Sequence Impedance Calculators

Fault Impedance using Positive Sequence Current
Go Fault Impedance Line = (Positive Sequence Voltage Line+Negative Sequence Voltage Line+Zero Sequence Voltage Line)/(3*Positive Sequence Current Line)
Fault Impedance using A-Phase Current
Go Fault Impedance Line = (Positive Sequence Voltage Line+Negative Sequence Voltage Line+Zero Sequence Voltage Line)/A-Phase Current Line
Positive Sequence Impedance for Delta Connected Load
Go Positive Sequence Impedance Line = Positive Sequence Voltage Line/Positive Sequence Current Line
Negative Sequence Impedance for Delta Connected Load
Go Negative Sequence Impedance Line = Negative Sequence Voltage Line/Negative Sequence Current Line
Sequence Impedance
Go Sequence Impedance Line = Symmetric Component Voltage Line/Symmetric Component Current Line
Zero Sequence Impedance for Delta Connected Load
Go Zero Sequence Impedance Delta Line = Zero Sequence Voltage Line/Zero Sequence Current Line
Zero Sequence Impedance for Star Connected Load
Go Zero Sequence Impedance Star Line = Sequence Impedance Line+(3*Fault Impedance Line)

Fault Impedance using A-Phase Current Formula

Fault Impedance Line = (Positive Sequence Voltage Line+Negative Sequence Voltage Line+Zero Sequence Voltage Line)/A-Phase Current Line
Zf(line) = (V1(line)+V2(line)+V0(line))/Ia(line)

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 Fault Impedance using A-Phase Current?

Fault Impedance using A-Phase Current calculator uses Fault Impedance Line = (Positive Sequence Voltage Line+Negative Sequence Voltage Line+Zero Sequence Voltage Line)/A-Phase Current Line to calculate the Fault Impedance Line, The Fault Impedance using a-phase current formula is defined as the impedence of the path followed by fault current when a low impedance fault occurs between the phase conductor and earth. Fault Impedance Line is denoted by Zf(line) symbol.

How to calculate Fault Impedance using A-Phase Current using this online calculator? To use this online calculator for Fault Impedance using A-Phase Current, enter Positive Sequence Voltage Line (V1(line)), Negative Sequence Voltage Line (V2(line)), Zero Sequence Voltage Line (V0(line)) & A-Phase Current Line (Ia(line)) and hit the calculate button. Here is how the Fault Impedance using A-Phase Current calculation can be explained with given input values -> 7.831281 = (13.51+16.056+17.5)/6.01.

FAQ

What is Fault Impedance using A-Phase Current?
The Fault Impedance using a-phase current formula is defined as the impedence of the path followed by fault current when a low impedance fault occurs between the phase conductor and earth and is represented as Zf(line) = (V1(line)+V2(line)+V0(line))/Ia(line) or Fault Impedance Line = (Positive Sequence Voltage Line+Negative Sequence Voltage Line+Zero Sequence Voltage Line)/A-Phase Current Line. Positive Sequence Voltage Line is consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ABC rotation, Negative Sequence Voltage Line is consists of balanced three-phase voltage and current phasors which are exactly at 120 degrees apart rotating counterclockwise in ACB rotation, Zero Sequence Voltage Line is consists of a balanced three-phase voltage and current, phasors of which all have the same phase angles and rotate counterclockwise together & A-phase Current Line is the current that flows into the a-phase in open conductor fault.
How to calculate Fault Impedance using A-Phase Current?
The Fault Impedance using a-phase current formula is defined as the impedence of the path followed by fault current when a low impedance fault occurs between the phase conductor and earth is calculated using Fault Impedance Line = (Positive Sequence Voltage Line+Negative Sequence Voltage Line+Zero Sequence Voltage Line)/A-Phase Current Line. To calculate Fault Impedance using A-Phase Current, you need Positive Sequence Voltage Line (V1(line)), Negative Sequence Voltage Line (V2(line)), Zero Sequence Voltage Line (V0(line)) & A-Phase Current Line (Ia(line)). With our tool, you need to enter the respective value for Positive Sequence Voltage Line, Negative Sequence Voltage Line, Zero Sequence Voltage Line & A-Phase Current Line 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 Fault Impedance Line?
In this formula, Fault Impedance Line uses Positive Sequence Voltage Line, Negative Sequence Voltage Line, Zero Sequence Voltage Line & A-Phase Current Line. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Fault Impedance Line = (Positive Sequence Voltage Line+Negative Sequence Voltage Line+Zero Sequence Voltage Line)/(3*Positive Sequence Current Line)
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