Three symmetrical three-phase loads are connected in parallel. Load 1 is connected in Y with an impedance of 400 + j300Ω / φ, load 2 is connected in with with an impedance of 2400 - j1800Ω / φ and load 3 is evaluated at 172.8 + j2203.2 kVA. Loads are supplied from a distribution line with an impedance of 2 + j16Ω / φ. Size of the voltage between the line and the neutral conductor at the end of the charge the line is 24√3 kV. The operating frequency is 50 Hz. (a) Calculate the line currents and the phase currents of the loads. (b) Calculate the total complex power at the receiving end of the system. (c) Calculate the total complex power at the transmitting end of the line.
Three symmetrical three-phase loads are connected in parallel. Load 1 is connected in Y with an impedance of 400 + j300Ω / φ, load 2 is connected in with with an impedance of 2400 - j1800Ω / φ and load 3 is evaluated at 172.8 + j2203.2 kVA. Loads are supplied from a distribution line with an impedance of 2 + j16Ω / φ. Size of the voltage between the line and the neutral conductor at the end of the charge the line is 24√3 kV. The operating frequency is 50 Hz.
(a) Calculate the line currents and the phase currents of the loads.
(b) Calculate the total complex power at the receiving end of the system.
(c) Calculate the total complex power at the transmitting end of the line.
(d) Calculate the values of the compensation capacitors which are connected from the line to the neuron at the load end of the system so that the power factor at the load end reaches pf ≥ 0.98.
(e) What if the capacitors are connected from one line to another? What would be the best choice for compensation, the capacitors connected in Y or ∆? Explain.
(f) What is the power factor at the sending end of the line?
(g) Calculate the percentage of average power at the transmitting end of the line delivered
load.
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