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Consider the 4-bus power system shown in Fig. 1. The system parameters are given below: 50 MVA, 20 kV, X-2090 40 MVA, 20 kV,

3 4 T2 nu)M Fig. 1 A 4-bus power system Choose 50MVA of the generator as the power base Sbas. Then convert all the impedance

Please show all the clearly step

Y11 ist j30 and Y44 isnt -j12.85

Consider the 4-bus power system shown in Fig. 1. The system parameters are given below: 50 MVA, 20 kV, X-2090 40 MVA, 20 kV, X-20%, X, = 5% 50 MVA, 20 kV Δ /110 kV Ý, X= 1090 50 MVA, 20 kV MI 10 kV Ý, X= 10% Xi-24.2 Ω Generator G: Motor M: Transformer T1 : Transformer T2 : Transmission line:
3 4 T2 nu)M Fig. 1 A 4-bus power system Choose 50MVA of the generator as the power base Sbas. Then convert all the impedance parameters into per unit values. a) b) Draw the network circuit diagram and indicate clearly the per unit values of circuit elements. Neglect the phase shift of the Y/A transformers and Xn i.e. Xp-0 in the circuit diagram. MATLAB, to compute the impedance matrix if needed. the network equations for the system using the result of c) c) Find bus admittance matrix Yus and impedance matrix Zbus. Use software, eg d) Denote V, and k the voltage and current at bus k, k = 1, 2, 3, 4, Write down
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Solu ion 5onv 20k ornv 20Vv X20 ok2o a) s Ypase 2 -V base 3-11 iokv X 20 because a Se are cc are Same ecause bac X242 5 0 5 O

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