There is a 3 node 3 line power system All values are in p.u. The voltage base is 120 kV (phase-to-phase)

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URGENT! please calculate the node admittance matrix as well as the active and reactive power flow equations. please show all work!
There is a 3 node 3 line power system
All values are in p.u.
The voltage base is 120 kV (phase-to-phase)
The power base is 75 MW (three-phase)
The impedance of the lines are all 0.02+j0.15 pu
The voltage at the slack node (node 1) is 1<0° pu
Node 2 is a PV node with active power injection equal to 0.6 pu and voltage magnitude value equal to
1.02 pu
I
Node 3 is a PQ node with active and reactive power injections at -0.5pu and -0.3pu
The 3 x 3 complex node admittance matrix is below (phases in radians):
Transcribed Image Text:There is a 3 node 3 line power system All values are in p.u. The voltage base is 120 kV (phase-to-phase) The power base is 75 MW (three-phase) The impedance of the lines are all 0.02+j0.15 pu The voltage at the slack node (node 1) is 1<0° pu Node 2 is a PV node with active power injection equal to 0.6 pu and voltage magnitude value equal to 1.02 pu I Node 3 is a PQ node with active and reactive power injections at -0.5pu and -0.3pu The 3 x 3 complex node admittance matrix is below (phases in radians):
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