Fault Level Calculations (IEC 60909) Source Impedance Hand Calculations Transformer Modelling NECR

<< Click to Display Table of Contents >>

Navigation:  Getting Started > Menu Selections > Calculate >

Fault Level Calculations (IEC 60909) Source Impedance Hand Calculations Transformer Modelling NECR

Previous pageReturn to chapter overviewNext page

 

See Also:

Transformer Modelling

Transformer NEC/R

Source Impedance Calculation

Hand Calculations for Fault Currents

 

To perform a fault level calculation, a busbar must be flagged as faulted.

 

This is done by right-clicking the busbar with the mouse and selecting the Fault Command from the Pop-up Menu. This removes faults placed on any other bus bar. In order to place faults on multiple bus bars, the user must hold down the Shift key, right click on the bus bar and select to place a fault.

 

After the Bus Bar is flagged, Press the Fault Button FaultC22 on the Toolbar OR Select Calculate, Fault from the main menu. This will calculate the fault flow at each individual busbar for the entire network.

 

Pressing the Fault Flow Button FaultF on the Toolbar OR Select Calculate, Fault Flow from the main menu, after the bus has been flagged, will calculate the fault flow due to the faulted Bus Bar(s) throughout the network. This is a much shorter and much quicker calculation, giving the user a quick look at the impact of a fault at the selected busbar.

 

All protection devices that operate as a result of the fault placed in the network will be flagged by the protection symbol's colour being Hashed.

 

To determine the flow of the fault current, Right-Click on the element and select Results->Fault Flow Tab-sheet.

PowaMaster uses the following technique to calculate the Fault Levels:

 

Term

Description

Zpos

Positive Sequence Impedance

Zneg

Negative Sequence Impedance

Zzero

Zero Sequence Impedance

Zcontact

Fault Contact Impedance

Zground

Ground Impedance

Ipos

Positive Sequence Fault Current

Ineg

Negative Sequence Fault Current

Izero

Zero Sequence Fault Current

Iabc

Line Fault Currents

 

Fault Current

Sequence Currents

Three Phase Fault

 

 

 

 

Phase to Phase Fault

 

 

 

 

Phase to Ground Fault

 

 

 

 

Double Phase to Ground Fault

 

 

 

 

 

 

,

 

Line Currents :

 


Source Impedance Calculation


 

To calculate the Source Impedance we need to know at least the following:

1.Three Phase Fault Level, Magnitude and Angle,

2.Single Phase Fault Level, Magnitude and Angle,

3.PU Voltage at the point of interest, Magnitude and Angle.

 

We first Calculate the Current & Impedance Base Values, where:

Sb = Power Base and

Vb = Voltage Base:

 

 

 

We then use the following formulae to Calculate the per unit Sequence Impedances after we've converted the Fault Currents to per unit values:

 

 

 

 

Example:

 

Vb = 132kV

Vs = 1pu, 0°

Sb = 100MVA

 

I3Ph = 15kA, -80°

I1Ph = 10kA, -80°

 

Using the above formulae we arrive at the following answers:

Zpos = 0.8823 + j5.0035 Ω

Zneg = 0.8823 + j5.0035 Ω

Zzero = 2.2056 + j12.5087 Ω

 


Hand Calculations for Fault Currents


 

Calculate the Three Phase and Phase to Ground Fault on the 11kV busbar (Secondary Transformer Terminal) for the following system:

 

Device

Given

Source

 

Voltage = 132kV

I3ph = 15 kA<-80°

I1f = 10 kA<-80°

 

Overhead Line

 

10km Wolf

 

Transformer

 

Rating = 10MVA

Voltage =  132/11kV

Z% = 11.25%

X/R = 23

Zzero% = 9.56%

X0/R0 = 23

Rneutral = 10Ohms

Vector: Ydn11

 

 

Solution:

 

Base Values

 

Sbase = 100MVA

V132base = 132kV

Vbase = 11kV

 

 

 

 

Source Impedance

 

 

 

 

 

 

Wolf Overhead Line Impedance Calculations

 

 

 

 

 

 

Transformer

 

 

 

 

 

 

 

 

Three Phase Fault Calculation

 

 

 

Note the dominance of the transformer impedance.

 

 

and consider 30 degree phase shift

 

 

 

 

 

 

 

Phase – Ground Fault Calculation

 

Note: The transformer - and primary connection zero sequences are blocked in a Ydn Winding and only the Neutral Earthing Resistance (NEC/R) need to be considered.

 

 

 

 

and consider 30 degree phase shift

 

 

 

 

 

 

 

 

 

 

 

Compare these results with the PowaMaster results.

Open the Fault Calc Demo.pmd file.

Note the use of the Options->Calculations – Use Sending Voltage.

This forces the assumption of Vsource = 1 p.u.

 

PowaMaster Demo 7

PowaMaster Demo 7