The design of any power transmission system is very sensitive to the magnitude of the current in the lines as determined by the applied loads. Increased current result in increased power losses in the transmission lines due to the resistance of the lines. Every effort must therefore be made to keep current levels at a minimum. The process of introducing reactive elements to bring the power factor closer to unity is called power factor correction. A load as shown in Figure 2 has impedance of Z = 100 + j100 Ω.

(a) Find the parallel capacitive required to correct the power factor to (i) 0.95 lagging and (ii) 1.0. Assume that the source is operating at ꙍ=377 rad/s.

(b) Apply any software/simulations tools to verify your answer.

 

Transcribed Image Text:

Transmission line current Power Customer's Z Parallol Z Load terminals company generator impedance Figure 2 use of an added parallel impedance Z, to correct the customer's power factor. Transmission line current Power Customer's Z Parallol Z Load terminals company generator impedance Figure 2 use of an added parallel impedance Z, to correct the customer's power factor.

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Part a Assume the load has a form And the parallel capacitive impe... View the full answer