(c) A transmission line, modelled through a series reactance X = 0.4 p.u., supplies an electrical load with active power PL = 0.4 p.u. and reactive power unknown. The two voltages at the sending and receiving ports of the line are controlled and their magnitudes are equal to V₁ = 1.02 p.u. and V₂ = 0.98 p.u., respectively. (i) Draw the phasor diagram of the system, assuming lagging current. (ii) Determine the reactive power consumed by the line and the reactive power sent at the port 1. Qline = 0.0684 p.u. Q₁ = 0.134 p.u.

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(c) A transmission line, modelled through a series reactance X = 0.4 p.u., supplies
an electrical load with active power PL = 0.4 p.u. and reactive power unknown.
The two voltages at the sending and receiving ports of the line are controlled
and their magnitudes are equal to V₁ = 1.02 p.u. and V₂ = 0.98 p.u.,
respectively.
(i) Draw the phasor diagram of the system, assuming lagging current.
(ii)
Determine the reactive power consumed by the line and the reactive
power sent at the port 1.
Qline = 0.0684 p.u.
Q₁ = 0.134 p.u.
Transcribed Image Text:(c) A transmission line, modelled through a series reactance X = 0.4 p.u., supplies an electrical load with active power PL = 0.4 p.u. and reactive power unknown. The two voltages at the sending and receiving ports of the line are controlled and their magnitudes are equal to V₁ = 1.02 p.u. and V₂ = 0.98 p.u., respectively. (i) Draw the phasor diagram of the system, assuming lagging current. (ii) Determine the reactive power consumed by the line and the reactive power sent at the port 1. Qline = 0.0684 p.u. Q₁ = 0.134 p.u.
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