8.5 REACTIVE POWER FLOW IN AN UNCOMPENSATED TRANSMISSION LINE

Let us consider a transmission line connecting two busses (a simple model) as shown in Fig 8.5. Let the R value of the transmission line be zero. Hence the losses in the line is zero. Let the load be such that it draws | I | amps at a terminal voltage of | I | volts. Now, the reactive power absorbed by the line will be

 

QL =| I2 | XL

 

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Fig 8.5 Uncompensated transmission line

We know that a transmission line consists of series inductance and shunt capacitance.

Case I:      If the reactive power generated by the line given by equals the reactive power absorbed, then

Therefore, ...

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