- Question 3 A Four Bus Power System Is Shown In Figure 3 Bus 1 Is A Slack Bus Bus 4 Is A Pv Buss And The Other Two Bu 1 (143.09 KiB) Viewed 48 times
- Question 3 A Four Bus Power System Is Shown In Figure 3 Bus 1 Is A Slack Bus Bus 4 Is A Pv Buss And The Other Two Bu 2 (86.42 KiB) Viewed 48 times
Question 3 A four-bus power system is shown in Figure 3. Bus-1 is a slack bus. Bus -4 is a PV buss, and the other two buses are PQ buses. The initial voltages of the slack and PV buses are as shown in the figure. The data for the buses are given in the table-1 below. The values of the real and reactive power shown in the table are on a base of 100 MVA. The line impedances in per unit and real and reactive power in per unit are on a common base. Assume the initial value of the angle at the PV bus to be zero (0) and the voltages at buses 2 and 3 to be 1.0LO. Table-1 Base MVA=100 o Bus V Generation Load (deg.) Type No. (pu) MW MVAR MW MVAR 1 1.05 0.0 0 0 Swing 2 0.0 0.0 80 60 Load 3 0.0 0.0 100 60 Load Choose the 4 1.05 100 40 30 Gen line impedances for your calculations based on the last digit of your student number as indicated in the following table: Last Digit of Your Student Number Z12 = Z34 Z13 = Z24 Z23 0-3 0.03 + j0.16 0.04 + j0.18 JO.06 + j 0.38 4-6 0.04 + j0.18 0.02 + 0 0.2 JO.08 + 30.4 7-9 0.05 + j0.20 0.03 + 0.22 0.1 + 0.42 Page 7 of 8 Slack Bus 1.050° 212 213 223 224 Z 34 3 V = 1.04 Figure-3
Create the circuit, in "PowerWorld" software. Assume a base power of 100 MVA. All the field values sch as voltage and phase angle at every bus and real and reactive power at both end of every line must be included in the circuit. The created circuit diagram (before simulation) must be included in your report. (b) Simulate the circuit using Gauss-Seidel iterative method for a single iteration. Record the values of the voltage magnitudes in pu and phase angle in degrees at buses 2,3 and 4. The simulated diagram with all the field values clearly shown must be included in your report. Calculate the bus admittance matrix for the circuit using the impedance values given in the table. Printout the bus impedance matrix generated by the PowerWorld program and compare it with the bus impedance matrix calculated by you. (d) Calculate the voltage in pu and the phase angle in degrees at the buss 2 and 3 after the first iteration using Gauss-Seidel method and compare it with the results recorded in part (b). (40 marks)