Concept explainers
Convert the following instantaneous currents to phasors, using
(a)
(b)
(c)
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Chapter 2 Solutions
POWER SYSTEM ANALYSIS+DESIGN-EBK >I<
- 1.51. Determine whether or not each of the following signals is periodic. If a signal is periodic, determine its fundamental period. (a) x(t)= cos 21+ cos(21 TT me // (d)_x(t) = ejπt n TT N (g) x[n] = cos COS Ans. (a) Periodic, period = πT (g) Nonperiodic (d) Periodic, period = 2arrow_forwardQ1) [60p] Given the following message and carrier signal m(t) = cos 2000nt + 2cos 6000лt + cos 10000πt c(t) = 20 cos 320000πt The signal is passed through following nonlinear device and a subsequent filter to generate DSB-AM signal. The nonlinear device has the input-output relation y(t) = x²(t) + 10x(t). y(t) u(t) m(t). Non-Linear Device Filter c(t) a) Determine y(t). b) Determine type of filter (BPF, HPF, LPF) and the bandwidth to obtain a DSB-AM signal (Conventional AM) c) What is the modulation index? d) Determine power of m(t), u(t), and the ratio of power in side bands to carrier. e) Assume that modulation signal u(t) is going to be demodulated by an envelope detector. The resistor is selected as R = 1 K. What is the minimum and maximum value of capacitor for a good detector. Q2) [40p] Given the following message and carrier signal m(t) = cos 2000πt + 2cos 6000πt + cos 10000πt c(t) 20 cos 320000лt a) Determine the Hilbert transform of m(t). b) Determine the Single Side Band (SSB)…arrow_forwardThermal power station of 5MW • has plant capacity factor of 0.7; Calorife Value of fuel is 8500 kcal "The efficiens of station is 40%; kg Find The Total Fuel Consumption in Tons unit for 12 days. Tagarrow_forward
- Q.2) A) Explain the nomenclature of additive white Gaussian noise (AWGN) What are the PSD and auto correlation of the AWGNEarrow_forwardThe one line Diagram of a power system is shown in figure the Three phase power and Line-Line rating are given below G. 80MVA, 22 kV, X = 24% G2: 68.85MVA, 21 kv, x = 22.5%. T: 90 MVA, 24/220kv, X = 1% T2: 80 M VA, 20/220 kV, x=6% Line! 121 J Line: 49 r Line ! 50 π Load: 10M var, Capacitor. Draw an impedance diag veu in Per unit and Find matrix. choose 2 oku, loo MVA, base. Tz G 0438 LI LET G2 T loadarrow_forwardA 3- overhead line is being supported by four-disc suspension insulators; the potentials across the first and second insulator from the top are 9 kV and 13 kV respectively. Calculate (i) the line voltage (ii) the ratio of capacitance between pin and earth to self-capacitance of each unit (iii) me string efficiencyarrow_forward
- Q The one line Dingrum of a power System By the one line. Dingrumvee phase power ad Line -Line rating are given below. G. SOMVA, 22 kV, x = 24% -G2: 68.85MVA, 21 kv, x = 225 T: 90 MVA, 24/220kv, X = 1% -T2: 80 μVA, 20/220kv, x = 6% Line! 12122 Line: 492 Line ! 50 π Load: 10 μvar, Capacitor. Draw an impedance diag rem in Find matrix. Per unit and choose 20kv, 100MVA, base. Vb Sb G Te Tz LI +3E+G2 LL L3 loadarrow_forwardOver string of 3-0 transmission line has (3) insulators and Ce = 0.12 C. If the voltage between the steel pin of the first insulators and metal gap of the last insulator is 33 kV. find: 1. The voltage distribution across the insulators and efficiency. 2. The new voltage distribution and efficiency if number of insulators increases one.arrow_forwardAn overhead line conductor having a parabolic configuration weighs 1.925 kg/m of length. The cross section area of the conductor is 2 cm² and the ultimate strength is 8000 kg/cm². The towers are 300 m apart having difference levels of 15 m. Calculate the sag from the taller tower, so that the factor of safety shall be 5. Assume that ice load is 1 kg/m run and there is no wind pressure.arrow_forward
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