5Short Line Faults
5.1 General
The short line fault is so‐called because the fault in this case occurs at a short distance along a transmission line from the circuit breaker. The distance of interest is in the order of hundreds of meters to a kilometer or so and the fault is sometimes referred to as a kilometric fault.
The circuit for this case is shown in Figure 5.1 where VS is the source voltage peak line to ground voltage, XS the source impedance, VL the peak voltage at the circuit breaker line side terminal at current interruption and Xeff and Zeff are the effective line and surge impedances, respectively. The fault current IL is usually expressed as a percentage of the circuit breaker short circuit current rating IS. A 90% short line fault thus means that IL = 0.9IS.
The circuit breaker transient recovery voltage (TRV) is the difference between the source side TRV and the line side transient. At current interruption the voltage on the line side is VL with a decreasing linear voltage profile to zero along the line to the fault location as shown in Figure 5.2. The line side voltage must go to zero but it does not ring down in the way of an oscillatory circuit because now we are dealing with distributed rather than the lumped elements discussed earlier in Chapters 2 and 4. Instead the line voltage goes to zero by means of successive traveling waves as shown in the next section.
5.2 Line Side Voltage Calculation
The initial condition for the line side voltage is as shown ...
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