Form the Jacobian matrix form the following power system network based on the types of buses specified in the table below. Bus 2 Bus 3 PQ bus PQ Bus Slack bus PQ bus PV Bus PV bus PQ Bus PV bus PV Bus
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- Q1. Transmission and distribution lines are important components of any power system study. (A) In relation to high voltage overhead ac transmission lines, Discuss the choice of materials for the conductors in terms of their electrical/mechanical properties and the costs involved. Discuss the factors that determine the distance (D) between phase conductors and explain the impact of the distance D on the inductance and capacitance values of the line at different voltage levels. Support your arguments with relevant equations where appropriate. Discuss the impact of the radius of the conductors on phase capacitance and inductance values and why bundles are used at very high voltages.Use Kirchhoff’s laws to determine the currents flowing in each branch of the network shown below.For the following power system. Identify the swing bus an all PQ and PV buses. Also, find the Ybus matrix of this power system
- Determine Zbus for the network shown in figure below using Direct MethodNode VoltagesSolve by inverse matrix method using the method 3 Ω resistor voltage drop in the circuitRefer to the 5-bus data given below. Sbase = 400 MVA, the base voltage is 15.0 kV for buses 1 and 3, and 345 kV for buses 2, 4, 5. Note that 1-5 and 3-4 are 15/345 kV transformers.a) Draw a one-line diagram of the power system.b) Find the elements Y23, Y43, Y11 Y33 of the system bus admittance matrix.
- 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.The simultaneous equations representing the currents flowing in an unbalanced, three-phase, star connected, electrical network are as follows: 2.4I1 + 3.6I2 + 4.8I3 = 1.2 −3.9I1 + 1.3I2 − 6.5I3 = 2.6 1.7I1 + 11.9I2 + 8.5I3 = 0 Using Gaussian elimination, solve the equations for the currents.a) High Voltages are preferred for Transmission of Electricity. Why? b) Why Generation Voltage Levels are low in the range of 11 kV/ 33 kV etc? c) Why ACSR Conductors are preferred over Copper Conductors? d) Overhead Transmission Lines are preferred for Transmission of Power for Long Distances, why? e) Alternating Current is preferred over Direct Current in Power System, Why? f) Write the Installed Generation Capacity of Sultanate of Oman with current energy share of Conventional and Non-Conventional Energy Sources. g) Why the Capacitance effect is neglected in Short Transmission Line. h) Distinguish between Lumped or Distributed elements in a Transmission Line.
- 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) TrueConsider the single-Line diagram of a power system shown in Figure 3.42 with equipment ratings given: Generator G1: 50MVA,13.2kV,x=0.15p.u. Generator G2: 20MVA,13.8kV,x=0.15p.u. Three-phase -Y transformer T1: 80MVA,13.2/165YkV,X=0.1p.u. Three-phase Y- transformer T2: 40MVA,165Y/13.8kV,X=0.1p.u. Load: 40MVA,0.8PFlagging,operatingat150kV Choose a base of 100 MVA for the system and 132-kV base in the transmission-line circuit. Let the load be modeled as a parallel combination of resistance and inductance. Neglect transformer phase shifts. Draw a per-phase equivalent circuit of the system showing all impedances in per unit.With generator conyention, where the current leaves the positive terminal of the circuit element, if P is positive then positive real power is delivered. (a) False (b) True