Q2 (i) Determine the currents for the electrical network shown in the following figure, using Gauss elimination: Where p=4 200 10v 20v 40 (ii) Find the volume of traffic along the arrows, using Gauss elimination: 18P 200 100 165 200
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- Determine the bus admittance matrix (Ybus) for the three-phase power system shown in Figure 6.23 with input data given in Table 6.11 and partial results in Table 6.12. Assume a three-phase 100 MVA per unit base. TABLE 6.11 Bus input data for Problem 6.20 TABLE 6.12 Partially Completed Bus Admittance Matrix (Ybus) for Problem 6.30PowerWorid Simulator case Problem 3_60 duplicates Example 3.13 except that a resistance term of 0.06 per unit has been added to the transformer and 0.05 per unit to the transmission line. Since the system is no longer lossless, a field showing the real power losses has also been added to the oneline. With the LTC tap fixed at 1.05, plot the real power losses as the phase shift angle is varied from 10 to +10 degrees. What value of phase shift minimizes the system losses?Consider Figure 2.9 of the text, Let the nodal equations in matrix form be given by Eq. (2.4. 1) of the text. A. The element Y11 is given by (a) 0 (b) j/l3 (c)j7 B. The element Y31 is given by (a) 0 (b) j5 (c) jl C. The admittance matrix is always symmetric square. (a) False (b) True
- Expand 6k=13m=12Dkm.Using Maxwell’s Mesh (Loop) MethodA high-voltage direct-current (dc) transmission line between Celilo,Oregon, and Sylmar, California, is operating at 800 kV and carrying1800 A, as shown. Calculate the power (in megawatts) at the Oregonend of the line and state the direction of power flow.
- Figure 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 V1 is 1.025 at an angle of 0◦ per unit. Voltage magnitude at bus 3 is fixed at 1.03 pu with a real power generation of 300 MW. A load consisting of 400 MW and 200 MVAr is taken from bus 2. Line impedances are marked in per unit on a 100 MVA base. (a) Construct Ybus matrix for the system in Figure (b) Using Gauss-Seidel method and initial estimate of V2(0) = 1.0 + j0 and V3(0) = 1.03 + j0 and keeping |V3| = 1.03 pu, determine the phasor values of V2 and V3. Perform two iterations.Solve numerical : Following 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 δ2, power flows and line losses by using Fast decoupled power flow method. All the values are given in per unit on 100MVA base. Use a tolerance of 0.001 for power mismatch.Using Maxwell's mesh method
- 3. A transmission line has a span of 150 m between level supports. The cross-sectional area of the conductor is 1·25 cm2 and weighs 100 kg per 100 m. The breaking stress is 4220 kg/cm2. Calculate the factor of safety if the sag of the line is 3·5 m. Assume a maximum wind pressure of 100 kg per sq. metre. [4]An overhead line has span of 260m. The tension in the line is 1200kg while the conductor weighs 650 kg per 100 meters. Calculate the maximum SAG in the conductor. If the height of the tower is 13 meters, estimate the clearance of conductor to the ground. Draw a figure and mark values of sag, clearance, span, height of conductor etc.Task 7 The simultaneous equations representing the currents flowing in an unbalanced, three-phase, star connected, electrical network are as follows: using Gaussian elimination, solve the equations for the currents