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Unformatted text preview: Instructor: S.O. Faried University of Saskatchewan
College of Engineering EE 342: Power Systems I
Final Examination Two formula sheets are allowed
December 6, 2008 Duration: 3 hours 1. A 60Hz, 500kV, 400 km threephase transposed line is composed of twoconductors per phase with horizontal conﬁguration as shown in Fig. 1. The conductors have an outside diameter of 1.762 inches, resistance of 0.0288 Q/km and D, = 0.0588 ft. Find: 6%
a10 OaZ 1.5ﬁ
H MD IObZ c1
L———————><———————————>l 321’: 321’: 1.5ft 15ft <'—> 002 Fig. 1. The ABCD constants of the line. The transmission efﬁciency if the line delivers 600 MW at 0.9 power factor lagging at
500 kV. L The surge impedance loading and the wavelength of the line. The value of the two identical series capacitor banks (one bank is installed at the sending
end and the other bank is installed at the receiving end) per phase required to compensate
60% of the line inductive reactance. The ABCD constants of the line aﬁer installing the two capacitor banks. 2. Draw the one line reactance diagram for the power system shown in Fig. 2. Select 1000
MVA base and 20 kV base at Generator 1. G1, 400 MVA, 26 kV, x = j0.8 p.u., 62, 600 MVA, 13 kV, x = j0.8 p.u.,
G3, 500 MVA, 18 kV, x = j1.0 p.u.
T1, 400 MVA, 26/500 kV, x = j0.1p.u., T2, 700 MVA, 13/500 kV, x = j0.1p.u.
T3, 600 MVA, 18/500 kV, x = 10.1 p.u. T.LAB,x=j50§2, T.LBc,x=j4OQ, T.LAC,x=j6OQ, SL,0.05+j0.ZQ Fig. 2 3. Consider the sample power system shown in Fig.3. All reactances are in per unit. Find the
bus impedance matrix Z bus. jO.4 p.u. j 0.2 p.u. Fig. 3 4. Consider the twobus system shown in Fig.4. The load S L = 5 + j4 p.u. power is supplied by the generator via the line. The line is represented by an equivalent 7: network, the
impedances of which are as follows: ZS =0.01+j0.05 p.u., zp —j3 p.u. The generator reactance is X g = jl.0 p.u. The magnitude V2 of the voltage of bus 2 must equal 1.0 p.u. Determine:
(a) The voltage that we must maintain at bus 1 in order to achieve the above objective. Find also the generator internal voltage.
(b) The required active and reactive generation (PG & QG SL=5+j4 p.u. Fig. 4 ...
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 Fall '10
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