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IGEE402_Galiana_Final_W06

IGEE402_Galiana_Final_W06 - FACULTY OF ENGINEERING POWER...

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Unformatted text preview: FACULTY OF ENGINEERING POWER SYSTEMS ANALYSIS — ECSE 464B April 28, 2006; 9:00 FINAL EXAM OPEN BOOK AND NOTES STANDARD FACULTY CALCULATOR PERMITTED LANGUAGE DICTIONARY PERMITTED ANSWER ALL 10 QUESTIONS ALL 10 QUESTIONS HAVE EQUAL WEIGHT Examiner: Prof. F.D. Galiana: 398-71 19 ~—*~...__ Associate Examiner: Prof. G. Joos: 398—71 10 (:1! FACULTY OF ENGINEERING POWER SYSTEMS ANALYSIS — ECSE 464B April 28, 2006; 9:00 FINAL EXAM OPEN BOOK AND NOTES ALL 10 QUESTIONS HAVE EQUAL WEIGHT Examiner: Prof. FD. Galiana Associate Examiner: Prof. G. Joos (l)Consider a power network with 100 buses of which 33 have a generator supplying power and regulating the voltage magnitude of the bus. Determine the number of unknown phase angles and the number of unknown voltage magnitudes in the load ﬂow problem for such a system. Also, indicate the number of real and reactive power balance equations deﬁning such a load ﬂow problem. (2) Consider a ten-bus power system with net real power injections given by, P = [100, 0,— 50,107,0,0,60,—70,—100,—10] MW Find the real transmission losses in MW. (3)Generator 1 has a capacity of 50 MW. It is Operating under economic dispatch at an incremental cost of 35 \$/MWh. If the system incremental cost 1: 40 \$/MWh, how much power in MW is generator 1 producing? (4) Generator 1 with an incremental cost of 35+0.lg1 \$/MWh is Operating under economic dispatch below its maximum generating capacity of 50 MW and above its minimum capacity of 20 MW. Is it possible for the system incremental cost to be A: 45 \$/MWh? What are the maximum and minimum values of lbetween which this generator will operate within its upper and lower generation limits? (5) Consider the economic dispatch of a system with two generators Whose incremental costs in \$/MWh are given by 20+0.2g1 and 25+0.05g2. At what demand level (1 in MW will the system operate such that both generating units share the load equally. Assume that both generating units have a very large capacity. (6) Consider a synchronous generator connected to an inﬁnite bus through a reactance of 0.5 per unit. The generator bus and inﬁnite bus both have voltage magnitudes of 1 per unit. The machine inertia constant is H=3 s. For a solid short-circuit fault cleared after 0.1 s ﬁnd the maximum power in per unit that can be transmitted stably. (7) If the machine in question (6) operates stably at the maximum power transmitted, would it still be stable if the inertia constant H is 6 s? Explain. (8)A 60 Hz lossless transmission line is 1000 km long. Find TOV, the temporary over-voltage ratio. Assume that the line propagation constant is 27r/ 5000 rad/km. (9) For the line of question (8) determine the percent series-C and shunt-L compensation that would have to be installed in equal percentages to obtain a TOV of 1.5. Assume that the series and shunt compensation is added in inﬁnitesimally small amounts all along the length of the line. (10) A lossless transmission line is 1000 km long. Assume that the propagation constant is 27r/5000 rad/km and that its characteristic impedance is 240 ohms. Find its ABCD parameters and pi- equivalent. ...
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