Line Impedance Calculation; Figure 68: Example Power System - GE MiCOM P40 Technical Manual

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Chapter 7 - Distance Protection
Zone 1 reach settings for phase-faults and earth-faults
Zone 2 reach settings for phase-faults and earth-faults
Zone 3 reach settings for phase-faults and earth-faults
Zone 3 reverse reach settings
Zone 4 reach settings (for use with Permissive Overreach or Blocking schemes if needed)
Load avoidance
The settings are applicable whether the Distance protection characteristics are set to Mho, or Quadrilateral. If you
choose Quadrilateral however, you will need to consider the Resistive reaches of Quadrilaterals.
For this study, we wish to protect one line of a double 230kV, 100km line between a substation at Green Valley and
a substation at Blue river. There are generating sources at Tiger Bay, 80 km from Green Valley and at Rocky Bay, 60
km from Blue River.
The single-line diagram for the system is shown in the following figure:
Tiger Bay
80 km
E02705

Figure 68: Example power system

The system data is as follows:
System Voltage: 230kV
System earthing: Solid
CT ratio: 1200 : 5
VT ratio: 230 000 : 115
Line length: 100km
Positive sequence line impedance (Z1): 0.089 + j0.476 ohms/km = 0.484Ð79.4°
Zero sequence line impedance (Z0): 0.426 + j1.576 ohms/km = 1.632Ð74.8°
Z0/Z1: 3.372Ð4.6°
Green Valley substation fault level: 2000 MVA to 5000 MVA
Blue river substation fault level: 1000 MVA to 3000 MVA
Circuit continuous rating: 400 MVA
Worst case power factor of load: 0.85
6.11.1

LINE IMPEDANCE CALCULATION

Ratio of secondary to primary impedance = (1200/5)/(230000/115) = 0.12
Total primary line impedance (for 100 km length) = 100 x 0.484
Total secondary impedance = (0.12 x 100 x 0.484)
Therefore set secondary values as follows:
Line Angle = 80°
158
Green Valley
100 km
IED
Blue River
Rocky Bay
60 km
IED
Ð 79.4° W
Ð 79.4° = 5.81 Ð 79.4° W
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