Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Transcribed Image Text:Consider the same 4-bus system shown. Use the tie set method to determine the reliability, unreliability
and the expected outage time in hours per year of the system. Assume that the reliability of the
generator RG =0.92 and the reliability of each line RL1=RL2 =RL3 RL4=RL5= 0.95.
LI
L3
ee
load
RL=0-95
RG = 0 22
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- The given zero sequence matrix is known. .At bus 1 there is a single generator connected with sequence reactance O of. j2 ohms. At bus 2, there are two motors connected, M1 and M2, each with zero sequence reactance of j2 ohms. j2 ohms zero sequence reactance. Motor M2 at bus 2 is solidly grounded.. For these conditions: a. Determine whether or not the generator at bus 1 is grounded. b. Establish the value of the grounding of motor M1. ZBUS (0) Z11 =j 11.42857 Z12 =j 1.42657 Z22 j1.42857 =arrow_forwardQ6: A five-bus network has generators at buses 1 and 3 rated 270 and 225 MVA, respectively. The generator sub-transient reactances plus the reactances of the transformers connecting them to the buses are each 0.3 pu on the generator rating as base. The turns ratios of the transformers are such that the voltage base in each generator circuit is equal to the voltage rating of the generator. Line impedances in pu on a 100 MVA system base are shown in Fig. below. All resistances are neglected. Using the bus impedance matrix for the network which includes the generator and transformer reactances, find the sub-transient current in a three phase fault at bus 4 and the current coming to the faulted bus over each line. Prefault current is to be neglected and all voltages are assumed to be 1 pu before the fault occurs. 3 j0.126 1.0/0 j0.1333 ll 1.0/0 j0.168 ll ell j0.210 ll j0.252 4 j0.336 ll j0.1111 lill j0.126 all llarrow_forwardFigure below shows the single-line diagram of three-bus power system with generation at bus 1 and bus 3. The voltage at bus 1 is V₁ = 1.025/0° per unit. The voltage magnitude at bus 3 is fixed at 1.05 per unit with a real power generation of 250 MW. The scheduled load on bus 2 is marked on the diagram. Line impedances are marked in per unit on a 100 MVA base. Line resistances and line charging susceptances are neglected. By using Gauss-Seidel method and initial estimates of V₂(0) = 1.020° and V3(0) = 1.0520°, determine V₂ and V3. Perform calculation for one iteration. V₁ = 1.025/0° j0.1 Slack Bus j0.2 j0.4 j0.2 3 j0.1 250 MW 150 Mvar |V3|=1.05 P3 = 250 MWarrow_forward
- A hydro powered 50 MVA generator, with a synchronous reactance 0.33 p.u., delivers 40 MW over a transmission line of 0.15 p.u. reactance to an infinite system. A 3-phase short circuit transient fault occurs on the busbar between the generator and transmission line. Given that the generator emf is 1.4 p.u. prior to and during the fault and all reactances are to a 50 MVA base: Sketch the single line schematic diagram of the system. Determine the maximum load angle the generator can swing to without losing stability. i) ii) iii) iv) Sketch the corresponding power-angle curve for the system showing the accelerating and decelerating areas. Calculate the critical clearing angle of the system to keep its stability.arrow_forwardA 600 KVA generator with X"a = 0.22 per unit is connected to a bus through a circuit breaker, as shown in the following figure. Connected through circuit breakers to the same bus are three synchronous motors rated 200 KVA, 2.5 KV, 1.0 power factor, with X"a = 0.15 per unit. The motors are operating at full load, unity power factor and rated voltage, with the load equally divided among the machines. (a) Find the rated symmetrical short-circuit current in Amperes, which must be interrupting breakers A and B for a fault at point P. Simplify the calculations by neglecting the Prefault current. M. GHA Barrow_forwardFollowing figure shows the one-line diagram of a two bus system. Take bus 1 as slack bus, bus 2 as load (PQ) bus. Neglect the shunt charging admittance. Obtain the bus admittance matrixYBUs and find V₂ and 62, power flows and line losses using FDLF method. All the values are given in per unit on 100MVA base. Use a tolerance of 0.001 for power mismatch. 1 Z12= 0.12+10.16 Slack bus V₁ 1.0/0⁰ pu 2 PL2=1.0pu Q12=0.5puarrow_forward
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- A DC Optimal Power Flow problem consists of a 3-bus network. The per-unit reactances of the lines interconnecting the buses are as follows: X₁2 = 0.35 pu, X₁3 = 0.25 pu and X23 = 0.1 pu. Bus 2 is taken as the reference bus, and SBase = 125 MVA. The power flow limit on transmission line 2-3 is 500 MW. Which one of the below is the constraint that needs be incorporated in the DCOPF problem to account for line 2-3 transmission capacity limit? Select one: O a. 03 -0.6 rad O b. 03 = -0.4 rad О с. 500 (0₁.03) 500 O d. 03 -0.5 rad О е. ņ 1000 (0₂.03) = 500 Of. None of these 27 201arrow_forwardQ. when a three-phase fault occurs at 75% of the distance from bus G. This fault has 10 arc resistance. 100 MVA, 115 KV Line GH a-Assume that the angle of the mho characteristic is 70°.Determine if the zone I mho unit at H set for 90% of the line GH can operate for this fault. b-Determine the apparent impedance seen by the distance relays at H for this fault. G Z, = 0.365 Z83° - 80% l6 = 1.96 Z–31.42° 4 = 2.60 Z–47.76° ķ = 4.51 Z-40.68° All values in per unit on 100 MVA, 115 kV.arrow_forward
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