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Load 4 Bus 1 Bus 2 Bus 3 Bus 4 Bus 5 Bus 6 Table of Busses: Slack Bus Generator Bus Load Bus Load Bus Load Bus Load Bus
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Figure P11-3 The power system of Problems 11-11 to 11-15
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Table 11-9: Typical daytime bus data for the power system in Figure P11-3 Bus Type V (pu) Generation Loads Name P (MW) Q (Mvar) P (MW) Q (Mvar) 1 SL 1 0 100 60 35 2 PV 1 0 3 PQ 40 25 1 0 4 PQ 60 40 1 0 5 PQ 30 10 1 0 6 PQ 40 25 1 0 Table 11-10: Typical nighttime bus data for the power system in Figure P11-3 Bus Type V (pu) Generation Loads Name P (MW) Q (Mvar) P (MW) Q (Mvar) 1 SL 1 0 100 40 25 2 PV 1 0 3 PQ 30 20 1 0 4 PQ 50 35 1 0 5 PQ 15 5 1 0 6 PQ 30 15 1 0 Table 11-11: Line data for the power system in Figure P11-3 The shunt admittances of all lines are negligible Transmission Line From / To Series impedance Rated MVA Number (bus to bus) Z, pu 1 1-2 0010 + j0080 200 2 2-3 0010 + j0080 200 3 3-4 0008 + j0064 200 4 4-5 0020 + j0150 100 5 5-6 0008 + j0064 200 6 6-1 0010 + j0080 200
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11-11 The bus data given in Table 11-9 represent typical daytime loads on the power system (a) Find the voltages at each bus in this power system under typical daytime conditions (b) Find the voltages at each bus in this power system under typical nighttime conditions (c) Find the real and reactive power flows in each transmission line in each case (d) Are any of the bus voltages out of tolerance in this power system (e) Are any of the transmission lines overloaded SOLUTION We will solve this problem using program power_flowm (a) The input file prob_11_11a_input to calculate the power flows in this power system is given below
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% File describing the base case for the power system of % Problem 11-11 % % System data has the form:
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%SYSTEM name baseMVA Voltage Tolerance SYSTEM Daytime 100 005 % % Bus data has the form: %BUS name type volts Pgen Qgen Pload Qload Qcap BUS One SL 100 0 0 0 0 0 BUS Two PV 100 100 0 60 35 0 BUS Three PQ 100 0 0 40 25 0 BUS Four PQ 100 0 0 60 40 0 BUS Five PQ 100 0 0 30 10 0 BUS Six PQ 100 0 0 40 25 0 % % Transmission line data has the form: %LINE from to Rse Xse Gsh Bsh Rating(MVA) LINE One Two 0010 0080 0000 0000 200 LINE Two Three 0010 0080 0000 0000 200 LINE Three Four 0008 0064 0000 0000 200 LINE Four Five 0020 0150 0000 0000 100 LINE Five Six 0008 0064 0000 0000 200 LINE Six One 0010 0080 0000 0000 200
When this program is executed, the results are as shown below:
>> power_flow prob_11_11a_input Input summary statistics: 24 lines in system file 1 SYSTEM lines 6 BUS lines 6 LINE lines
Results for Case Daytime |====================Bus Information=======================================|=======Line Information======| Bus Bus Volts / angle |--Generation--|------Load-----|--Cap--| To |----Line Flow---| no Name Type (pu) (deg) (MW) (MVAR) (MW) (MVAR) (MVAR) Bus (MW) (MVAR)| |========================================================================================================| 1 One SL 1000/ 000 13271 5020 000 000 000 Two 4421 -472 Six 8850 5492 2 Two PV 1000/ -205 10000 10902 6000 3500 000 One -4401 630 Three 8414 6776 3 Three PQ 0939/ -575 000 000 4000 2500 000 Two -8298 -5842 Four 4311 3346 4 Four PQ 0913/ -741 000 000 6000 4000 000 Three -4284 -3130 Five -1713 -868 5 Five PQ 0932/ -580 000 000 3000 1000 000 Four 1722 935 Six -4717 -1933 6 Six PQ 0949/ -394 000 000 4000 2500 000 Five 4741 2125 One -8741 -4624 |========================================================================================================| Totals 23271 15922 23000 13500 000 |========================================================================================================|
Line Losses |=====================================================| | Line From To Ploss Qloss | | no Bus Bus (MW) (MVAR) | |=====================================================| 1 One Two 020 158 2 Two Three 117 934
3 Three Four 027 216 4 Four Five 009 066 5 Five Six 024 192 6 Six One 108 868 |=====================================================| Totals: 305 2434 |=====================================================|
Alerts |=====================================================| ALERT: Voltage on bus Three out of tolerance ALERT: Voltage on bus Four out of tolerance ALERT: Voltage on bus Five out of tolerance ALERT: Voltage on bus Six out of tolerance
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