Q1) If Bus-1 is slack bus and Spase=10--MVA(last two digits number of your ID) then find angle for bus 2 & 3 and power of line 1,2 & 3? 300 MW Bus 2 X23=.2 X12=.1 900 MW Bus 1 X13=.4 Bus 3 1200 MW
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- Equipment ratings for the four-bus power system shown in Figure 2 are as follows: Generator 1: 500 MVA, 13.8 kV, X" = 0.20 pu Generator 2: 750 MVA, 18 kV. X" = 0.18 pu Generator 3: 1000 MVA, 20 kV. X" = 0.17 pu Transformer Tl: 500 MVA, 13.8/500 kV, X = 0.12 pU Transformer T2: 750 MVA, 18/500 kV. X = 0.10 pu Transformer T3: 1000 MVA. 20/500 kV. X = 0.10 pU A three-phase short circuit occurs at bus 1, where the prefault voltage is 525 kV. Prefault current is neglected. Use 1000 MVA, 20 kV base in the zone of generator 3. By Thevenin's and Superposition approach, determine the following: a) subtransient fault current in amperes b) contributions to the fault current from the generators in amperes c) voltage at bus 2 during fault in kVQ4 / Equipment ratings for the four - bus power system shown in Figure are given as follows: TI 73 60 500 Generator GI: 500 MVA, 13.8 KV. X = X2 = 0.20. Xo = 0.10 per unit Generator G2: 750 MVA, 18 KV.X = X2 = 0.18, Xo = 0,09 per unit Generator G3: 1000 MVA, 20 kV, X = 0.17. Xz = 0.20.Xo = 0.09 per unit Transformer Ti: 500 MVA, 13.8 kV A / S00 kV Y. X = 0.12 per unit Transformer T2: 750 MVA, 18 LV A / 500 kV Y, X = 0.10 per unit Transformer T3: 1000 MVA, 20 kV A / 500 kV Y. X = 0.10 per unit each line: X = 50 ohms, X, = 150 ohms 77 The inductor connected to generator G3 neutral has a reactance of 0.028 pu. Draw the zero-, positive-, and negative - sequence reactance diagrams using a 1000 - MVA, 20 - KV base in the zone of generator G3Real power and voltage magnitude are the quantities specified for bus.
- Given a 3-bus power system as follows. |V2l = 1.0 pu Vi = 1.05/_0 pu Poen = 1.2 pu Z12 = 0.01 + j0.03 어 P-Load = 2.5 pu 2 QLont = 1.8 pu Z, = 0.015 + j0.04 Zy = 0.02 + j0.05 PLoad = 3.0 pu Quead = 2.2 pu 3) With the accuracy of 10 , use the Gauss or Gauss-Seidel method to determine: a. How many iterations the algorithm required? b. The voltage amplitude and angle at Bus 3. c. The voltage angle at Bus 2. 3.Given a 3-bus power system as follows. |V2l = 1.0 pu Vi = 1.05/_0 pu Poen = 1.2 pu Z12 = 0.01 + j0.03 어 P-Load = 2.5 pu 2 QLont = 1.8 pu Z, = 0.015 + j0.04 Zy = 0.02 + j0.05 PLoad = 3.0 pu Quead = 2.2 pu 3) With the accuracy of 10 , use the Gauss or Gauss-Seidel method to determine: d. The active power produced by the generator at Bus 2. e. The active and reactive power produced by the generator at Bus 1. f. The total power losses of the system. 3.A single-line diagram of a four-bus system is shown in fiugre. Equipment ratings and per-unit reactances are given as follows.Machines 1 and 2: 100 MVA 20 kV; X1= X2 = 0.2; X0= 0.04 Xn= 0.05 Transformers T1 and T2: 100 MVA 20Y/345Y kV; X1 = X2 = X0 = 0.08. On a base of 100 MVA and 345 kV in the zone of the transmission line, the series reactances of the transmission line are X1 = X2 = 0.15 and X0=0.5 per unit. (a) Determine the bus impedance matrix for each of the three sequence networks. (b) Assume the system to be operating at nominal system voltage without prefault currents when a bolted single-line-toground fault occurs on phase A at bus 3. Compute the fault current, the current out of phase C of machine 2 during the fault, and the line-toground voltages at the terminals of machine 2 during the fault. Total detailed answer is needed. The figure is attached.
- 2. For the 3-bus network shown in figure, the impedances indicated are in per unit. a) Draw pu admittance diagram and obtain the bus admittance matrix Ybus for the network. b) Find the source voltages Eai and Ecz so that buses 1 and 2 have the voltages V = 120°, V2 = 1.05490° X= 0.20 pu X = 0.20 pu X= 0.36 pu Xo = 0.36 pu Xo 0.15 pu X p= 0.36 pu X- 0.36 pu X - 0.3 pu Load %3DFor a system consist from 3 buses and bus 1 is the slack bus. The data of the system are:- 0.25 Ybusj -0.2 -0.2 0.225 -0.05 -0.025 -0.05 -0.025 p.u. 0.075 V₁=1+j0 p.u., P₂+jQ=0.6+j0.25 p.u., P3+jQ3-0.8+j0.5 p.u. -0.762-j0.826 -0.762+10.826 O 0.762+j0.826 0.762-j0.826 By using Gauss-Siedal method, the voltage of the bus 2 after two iteration isQUESTION 5 a) Obtain the sequence networks reduced to their Thevenin equivalents for the system shown in Figure 4 in the case of a fault at F. Prefault is VF = 1.05Z 0° per unit. System data in per unit on the same base are given as follows: G1 : XI = 0.2 p.u. G2 : XI = 0.33 p.u. X2 = 0.12 p.u. X2 = 0.22 p.u. Хо - 0.06 р.u. Хо- 0.066 р.u. T1:XI =X2 = Xo = 0.2 p.u. T2:X = X2 = Xo 0.225 p.u. T3 :X1 =X2 = Xo = 0.27 p.u. T4 :X1 = X2 = Xo = 0.16 p.u. L1 :XI = X2 = 0.14 p.u. Xo = 0.3 p.u. L2 :X1 = X2 0.35 p.u. Xo = 0.6 p.u. T1 T2 L1 G1 G2 L2 T4 T3 Figure 4 b) Calculate the per-unit subtransient fault current in phase a, b, c for a bolted three phase to ground short circuit at fault F in Figure 4. Justify your answer.
- Q4/ (A) What is the voltage measurement Vx-y , for the circuit shown below. 4v 4v 20 50 yIf Bus-1 is slack bus and Sbase=1035-MVA then find angle for bus 2 & 3 and power of line 1,2 & 3?| 300 MW Bus 2 X23=.2 X12=.1 900 MW Bus 1 X13=4 Bus 3 1200 MWThe figure below shows the one-line diagram of a four- bus power system. The voltages, the scheduled real power and reactive powers, and the reactances of transmission lines are marked at this one line diagram (The voltages and reactances are in PU referred to 100 MW base. The active power P2 in MW is the last three digits (from right) of your registration number (i.e for the student that has a registration number 202112396, P2 =396). [10] Starting from an estimated voltage at bus 2, bus 3, and bus 4 equals V2 (0) = 1.15<0°, V3 = 1.15 < 0°, V4 1.1< 0°. 1- Specify the type of each bus and known & unknown quantities at each bus. 2- Find the elements of the second row of the admittance matrix (i.e. [Y21 Y22 Y23 Y24]). 3- Using Gauss-Siedal fınd the voltage at bus 2 after the first iteration. 4- Using Newton-Raphson, calculate: |- The value of real power (P2), at bus 2 after the first iteration. Il- The second element in the first row of the Jacobian matrix after the first iteration. 2 P2…