Q2. i) The one-line diagram of simple three-bus power system with generation at bus 1 is shown in figure Q2. 0.02 + 30.04 2 256.6 MW 0.0125 + 30.025 +110.2 Mvar 0.01 + 30.03 Slack Bus 3 Vi = 1.0520° 138.6 MW 45.2 Mvar Figure Q2 The magnitude of voltage at bus 1 is adjusted to 1.05 per unit. The scheduled loads at buses 2 and 3 are as marked on the diagram. Line impedances are marked in per unit on a 100MVA base and the line charging susceptances are neglected. Develop the Ybus model of the system. [2] ii) Using the Gauss-Seidel method, estimate the phasor values of voltage at the load buses 2 and 3 in the system shown in figure Q2 after the 2nd iteration. Assume the bus 1 as slack bus. [5]
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Q2. i) The one-line diagram of simple three-bus power system with generation at bus 1 is shown in figure Q2. 0.02 + 30.04 2 256.6 MW 0.0125 + 30.025 +110.2 Mvar 0.01 + 30.03 Slack Bus 3 Vi = 1.0520° 138.6 MW 45.2 Mvar Figure Q2 The magnitude of voltage at
Q2. (40) Eig. 1 shows the one-line diagram of a simple three-bus power system with generation at bus 1. The magnitude of voltage at bus 1 is adjusted to 1.05 pu. The scheduled loads at buses 2 and 3 are as marked on the diagram. Line imepdances are marked in pu on a 100 MVA base and the line charging susceptances are neglected a) (30) Using the GS (Gauss-Seidael) method, voltage phasors at the load buses 2 and 3 (P-Q...
Consider the single line diagram of a 3-bus power system shown in Figure 2. Slack bus 3 Figure 2. The data for this system are given in Tables 1 and 2. Bus Table 1 Generation Load Assumed PG QGPLQL bus voltage (MW) (MVar) (MW) (MVar) 1.05 +10.0 - - 1.0 + 0.0 50 30 305.6 140.2 1.0 +0.0 0.0 0.0 138.6 45.2 slack bus) Table 2 Bus-to-bus Impedance 0.2 + j0.04 .01 +0.03 2.3 0.0125 + j0.025 (0) Convert all...
Figure 3, shows the one-line diagram of a simple three-bus power system with generation at buses 1 and 3 . The voltage at bus 1 is \(V_{1}=1.025 \angle 0^{\circ}\) per unit. Voltage magnitude at bus 3 is fixed at \(1.03\) pu with a real power generation of \(300 \mathrm{MW}\). A load consisting of \(400 \mathrm{MW}\) and \(200 \mathrm{Mvar}\) is taken from bus 2. Line impedances are marked in per unit on a 100-MVA base. For the purpose of hand calculations,...
The single line diagram of a power network is shown in the figure. Bus#1 is a slack bus. The scheduled powers for bus#2 and bus#3 are given. The impedances shown in the figure are all in per-unit considering a power base of 100 MVA. 30 400 MW 320 MVAr Slack V-1400.0125 jo.os 3 300 MW 270 MVAr A. Use the Gauss Seidel technique to determine voltages at bus#2 & bus#3. (Start with an initial guess 140 for both buses). [Only...
Answer part D The single line diagram of a power network is shown in the figure. Bus#1 is a slack bus. The scheduled powers for bus#2 and bus#3 are given. The impedances shown in the figure are all in per-unit considering a power base of 100 MVA. 30 400 MW 320 MVAr Slack V-140 j0.0125 jo.0s 00 MW 270 MVAr A. Use the Gauss Seidel technique to determine voltages at bus#2 & bus#3. (Start with an initial guess 140 for...
Consider 3 jointly discrete andom variables X, Y, Z whose joint PMF is given by p(x, y, z) = {((x+ + xz? + yz), x = 1,2, y = 2,3, z = 0,1 0, otherwise a) Find the constant c. b) Find Pxy(x, y) c) Find E[xy?) Remaining Time: 11 minutes, 31 seconds. Question Completion Status P.2 (30 points) (10 Points) Use VCO block, build a Simulink model to simulate FM transmitter with the following parameters - Message signal 0.5sin(10000mt)+2sin(6000m+30°)...
1. In the power system network shown in Figure 1, Vi bus 1 is a slack bus with 1.00 per unit and bus 2 is a load bus with S2 Mvar. The line impedance on a base of 100 MVA is Z = 0.02 + j0.04 per unit (a) Using Gauss-Seidel method, determine V2 . Use an initial estimate of V=1.0j0.0 and perform four iterations (b) If after several iterations voltage at bus 2 converges to V2 = 0.90-j0.10, determine...
Figure 1 shows the one line diagram of a simple power system. Generators are connected at buses 1 and 3 while the loads are indicated at all five buses. Base values for transmission system are 100 MVA, 138 kV. The line data of Table 1 gives per unit series impedances and the charging MVar accounting for the distributed capacitance of the 5 lines. The bus data in Table 2 list values for P, Q and Vat each bus. The slack...
The one line diagram of a three-phase power system is shown in Fig.8. Impedances are marked in per unit on a 100 MW, 400 kV base. The Load at Bus 2 is S2 = 15.93 MW - j33.4Mvar, and at Bus 3 is S3 = 77 MW + j14 Mvar. It is required to hold the voltage at Bus 3 at 400 kV, Angle 0 degs. Working in per unit, determine the voltages at Buses 2 and 1. Q8: The...
Ouestion 1:a). Describe the primary parameters of load flow analysis. Which are the derived parameters and how can calculate the derived parameters from primary parameters? 3) b). Figure 1 shows the one-line diagram of a simple three-bus power system with generation at bus 1. The voltage at bus l is V1- 1.0+ j0 per unit. The scheduled loads on buses 2 and 3 are marked on the diagram Line impedances are marked in per unit on a 200 MVA base....