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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: 39871 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 tenbus 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 shortcircuit 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 overvoltage ratio. Assume that the line propagation
constant is 27r/ 5000 rad/km. (9) For the line of question (8) determine the percent seriesC and shuntL
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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 Fall '10
 GALIANA

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