Question

Two parallel single phase lossless transmission lines have a series impedance of j60 ohm and j50 ohm, respectively. The sending end and receiving end voltages are 400?8 kV and 400?0, respectively. The injected power at the sending end is 2.2 MW. (a) Determine the real power flow in each line and the phase angle of the send voltage (?). (b) If a phase shifting transformer of 1:e is connected at the end of the 60ohm line. Find the value of ? and ? that will result in same real power flow in each line.

          Two parallel single phase lossless transmission lines have a series impedance of j60 ohm and j50 ohm, respectively. The sending end and receiving end voltages are 400?8 kV and 400?0, respectively. The injected power at the sending end is 2.2 MW.
(a) Determine the real power flow in each line and the phase angle of the send voltage (?).
(b) If a phase shifting transformer of 1:e is connected at the end of the 60ohm line. Find the value of ? and ? that will result in same real power flow in each line.

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Two parallel single phase lossless transmission lines have a series impedance of j60 ohm and j50 ohm, respectively. The sending end and receiving end voltages are 400?8 kV and 400?0, respectively. The injected power at the sending end is 2.2 MW.
(a) Determine the real power flow in each line and the phase angle of the send voltage (?).
(b) If a phase shifting transformer of 1:e is connected at the end of the 60ohm line. Find the value of ? and ? that will result in same real power flow in each line.

Added by James M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

06/06/2022

Step 1

The real power flow in a transmission line can be calculated using the formula: P = (|V|^2 - |Vr|^2) / (2 * Re(Z)) where P is the real power flow, |V| is the magnitude of the sending end voltage, |Vr| is the magnitude of the receiving end voltage, and Re(Z) is Show more…

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Two parallel single-phase lossless transmission lines have a series impedance of hm and j50 ohms, respectively. The sending end and receiving end voltages are MW. a) Determine the real power flow in each line and the phase angle of the sending voltage (&). b) If a phase-shifting transformer of 1:ej is connected at the end of the 60-ohm line, find the value of and that will result in the same real power flow in each line. Vs = 400 kV∠1:0 Vr = 400 kV∠0 + j60 W j50

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