Power transmissions lines are inductive by nature. Power in AC systems is transmitted by varying the phase angle between source and receiving end following the below equation:
Vsource * Vrecieve * sin (phi) / (Zsource + Zrecieve + Zline)
V = the voltage
phi = angle between source and receiving end voltage
Z = impedance, Zsource = the impedance behind the source end
Series compensating lines is accomplished by adding capacitors in series on a line, which reduces the Zline term in the above equation. This allows more power to be transmitted from one end to the other.
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Power is transmitted to loads/consumers via transmission lines. And the transmitted power is aparrant power ( i.e. it's the sum of active power and reactive power). Generally ,some load (inductive loads) consumes reactive power along with active power. Which leads to voltage fluctuations at consumer's side. To provide the reactive power needed by the load, Capacitors (Gives reactive power) are connected in series/parallel to the transmission line. This process is called Compensation of power transmission line. Without compensation the voltage at the recieving end would change alot. Compensation increases efficiency of the transmission. In short.. =>Compensated line-->Line with capacitors connected in series/parallel. =>Uncompensated line-->Line without any reactive power providers. NOTE: for compesation we can use any component that has ability to provide reactive power (ex. capacitors, synchronous machines etc.)
performance of transsion line of nigeria power system
Line current = 10MW / 500kV = 20A Assuming the 1000 ohms is the resistance of the entire transmission line, end to end. Power loss = line current ^ 2 * line resistance = 20A ^ 2 * 1000 ohms = 400 KW
in order to reduce the transmission line losses we need low impedance...Low impedance also improves power transfer capacity of the line..
I assume you are wanting to know about balancing networks to a transmission line? If this is the case, you really need to get a book on networks and filters. The physical makup of the transmission line will impact this calculation. The basic idea is you want to match the impedance at the input (looking out of the transmission line) to the same impedance as the transmission line (say 50 or 75 ohms for typical coax), and the output impedance (looking out of the transmission line) to the same as well. This will result in maximum power transfer, minimum power reflection. If you want to know how to make a balancing filter to a transmission line, then you need to design the filter according to your requirements - chebyshev, minimum ripple, wide band, narrow band, etc; You may need to use transformers to isolate the transmission line from your power circuitry, and use this as a matching network. You could also use transistors to accomplish similar things (less isolation, though), depending on what you're trying to do.
Image result for Why phases in transmission line are transposed?Transposition is the periodic swapping of positions of the conductors of a transmission line, in order to reduce crosstalk and otherwise improve transmission. ... Transposition also equalizes their impedance relative to the ground, thus avoiding one-sided loads in three-phase electric power systems.