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University of Queensland 1 The University of Queensland Semester-1, 2019 ELEC4300/ ELEC7303: Power Systems Analysis- Assignment 2 Submit before 10 May 5pm 1. Power Flow a) A typical 13-bus transmission level power system is shown in Figure 1. Data for this power system is provided in Section 2. Conduct a base case power flow study on the power system, and include a table summarising load flow results in your final report (20 marks). Obtain the Y- Bus of the system. For data not given, appropriate values should be assumed. Justification of these values should be provided with appropriate references (10 marks). Figure 1. A single-line diagram of 13 Bus Transmission Level Power System b) Compensation: (i) Identify the lowest voltage bus in the power system by observing the magnitude of voltage levels. Draw a Q-V curve for the identified bus. Include the Q-V curve in your report. (10 marks) (ii) Mention one method of increasing the voltage magnitude at the lowest voltage bus by 5% from the base case. Demonstrate the effectiveness of this method by making appropriate changes to the input data of the base case and by running the power flow program. Obtain the new Y-bus, compare it with Y-Bus in part (a), and explain the differences. Draw another Q-V curve for the same bus. Compare this Q-V curve with the one obtained in previous part (i). Comment on the results. (10 marks) 2 c) Impact of Renewable Generation Add renewable generation sources (wind and photovoltaic PV) at non-generation bus ‘L’ (excluding bus 1, 2 and 12) and study their implications on the network voltage profile and reactive power requirements. Note: Replace ‘L’ with the last digit of your 8 digit student number (if you work in a group, use any one of the group members’ student number). If the last digit is zero/1/2, then use the second last digit. If the second last digit is still zero/1/2, then continue to find the last feasible digit. In the worst case, choose bus 7. (i) Add a wind generator with output power = 50 MW, Pmax = 100 MW, Qmax = 40 MVAR and Qmin = -40 MVAR. (10 marks) (ii) Add a PV generation of 50 MW, which operates at unity power factor. Model the PV as a negative load. (10 marks) d) Contingency analysis Does your system (as in Q1-a/base case) have any difficulties with any of the following conditions? Justify your answers by including bar graphs of the system voltage profile for the following cases. Apply one contingency at a time. (i) If all the loads of your system are increased by 15% without any increase in generation. (10 marks) (ii) If the generator at bus 2 is out of service due to a sudden failure. (10 marks) (iii) If the transmission line between bus 2 and bus 3 is out of service for maintenance. (10 marks) 2. 13-Bus Transmission Network Data System Base: 100 MVA (1) Bus Data Bus No. Nominal Voltage (kV) Type Real Power Load (MW) Reactive Power Load (MVAR) 1 138 Slack Bus -- -- 2 138 PV -- -- 3 138 PQ 95 20 4 138 PQ 45 0 5 138 PQ 10 2 6 66 PQ 11 7.5 7 66 PQ 4×L 1 --- 2 8 66 PQ 25 7 9 66 PQ 20 6 10 66 PQ 20 5 11 66 PQ 30 10 12 66 PV 13.5 6 13 66 PQ 20 5 1 Replace ‘L’ with the last digit of your 8 digit student number (if you work in a group, use any one of the group members’ student number). e.g. for a student number of 41001234, the real load will be 16 MW for a student number of 41004567, the real load will be 28 MW 2 Load power factor at bus 7 should be maintained at 0.9 lagging 3 (2) Generator Data Bus No. Pmax (MW) V scheduled Qmax (MVAR) Qmin (MVAR) 1 500 1.06 250 -250 2 200 1.02 100 -100 12 200 1.01 100 -100 Note that, for each synchronous generator output, you can choose whatever value you want, but make sure 20%Pmax ≤ Pgen ≤ Pmax. Synchronous generators cannot have negative outputs. (3) Branch Data ID From To R (pu) X (pu) B (pu) 1 Bus 1 Bus 2 0.01938 0.05917 0.05280 2 Bus 1 Bus 2 0.01938 0.05917 0.05280 1 Bus 1 Bus 5 0.05403 0.22304 0.04920 1 Bus 2 Bus 3 0.04699 0.19797 0.04380 1 Bus 2 Bus 4 0.05811 0.17632 0.03400 1 Bus 2 Bus 5 0.05695 0.17388 0.03460 1 Bus 3 Bus 4 0.06701 0.17103 0.01280 1 Bus 4 Bus 5 0.01335 0.04211 0 1 Bus 6 Bus 10 0.09498 0.19890 0 1 Bus 6 Bus 11 0.12291 0.25581 0 1 Bus 6 Bus 12 0.06615 0.13027 0 1 Bus 7 Bus 8 0 0.11001 0 1 Bus 8 Bus 9 0.03181 0.08450 0 1 Bus 8 Bus 13 0.12711 0.27038 0 1 Bus 9 Bus 10 0.08205 0.19207 0 1 Bus 11 Bus 12 0.02092 0.19988 0 1 Bus 12 Bus 13 0.17093 0.34802 0 (4) Transformer Data From To R (pu) X (pu) Bus 4 Bus 7 0 0.20912 Bus 4 Bus 8 0 0.55618 Bus 5 Bus 6 0 0.25202 4 IMPORTANT SUBMISSION INFORMATION (a) Case file (.pwb) and the corresponding diagram file (.pwd) should be submitted in order to achieve a valid submission. Each case file should be named appropriately, with names identical to their corresponding diagram file. (b) All case and diagram files should be contained in a single zip file, named ‘######## Prac 2’, where ######## is your 8-digit student number. This zip file should be submitted electronically via the ITEE online submissions website. (c) Make sure you have answered all the questions. (d) This report (hard copy) should be no more than 16 pages (one sided only, Times New Roman font size 11, single line spacing with 2cm margin on all sides). Appendix should not be used. Definitely, no tables or graphs are allowed to appear in an Appendix. You should place tables and graphs into the body of the report. Submit the hard copy report through the EAIT assignment chute at the building # 50. (e) Report should include concise summary of results for each section, along with comments and discussions. Comments could be as short as one sentence, or as long as a short paragraph. (f) Tables summarising load flow results should be included to support your discussion. For example: Go to “Case Information” “Model Explorer” (g) Sample bar graph indicating system voltage profile 5 (j) Sample QV curve **BUS** 3 (3_138.0),**CASE** BASECASE Build Date: February 7, 2018 Voltage (pu) 1.040.960.880.80.720.640.560.480.40.320.24 Q _s yn c (M va r) 140 120 100 80 60 40 20 0 -20 -40 -60 -80 -100 -120 -140