QUESTION 1 The one-line diagam of a simgle three-bus power system with geseratio

Question

QUESTION 1 The one-line diagam of a simgle three-bus power system with geseration at buses 1 and 3. The soltage at bus 1 is VI-1,025 per usit. Voltage magnitude at bus 3 is fixed at 1,03 pu with a real power grae atsos of 300 MW.A load consisting of 400 MW and 200 Mvar is taken from bus 2. Line impedances are marked in per unit on a foo MVA base Determine the following Vi = 1.02510° P300 MW 0.05 Val = 1.03 0.025 0.025 400 MW 200 Mvar Answer list (1 040L 2 0201, ,gaoL 4-100) ) 1. The correct answer for the value for the element 122 from the admittance matrix s (enter your choice (1,.2. 3, or 4 Answer list (1- Load busl, 2-(Vitage costrolled bush, 3 2- Type of Bus 1 (enter your choice ( 1, 2, 3, or 4)? Type of Bus 2 (enter your chokce ( 1,2,3, or 4)) Type of Bus 3 (enter your choice { 1, 2.3,or4)) ? 3-If after several iterations the bus voltages converge to V2-10012436 L2.1-1,000571-j0 0366898 pa V3-1036 L1.36851-1.029706 j0246 pu The complex power Dow in line 1-2 (512) is? The correct answer for S12 is (enter your choice (1, 2, 3, or 4

Explanation / Answer

1) Y22 =Y21+Y23 = j0.025+j0.025 = j0.05

2)Bus 1 is slack bus which is the reference bus which is set to 0 degrees

Bus 3 is PV bus or voltage controlled bus where real power and voltag emagnitude is specified and bus 2 is load bus where load is connected

3)150.43+j100.16MVA

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