Q3) Consider 4-bus 5 line Power System shown below. All indicated values are admittances in p.u Y12 =2-j6 Y13 =1-j3 y23 =0.666-j2 y24 =1-j3 y34 =2-j6 Y4 =j0.2= a. Develop the Y-bus matrix (i.e., the admittance matrix).
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- For an NN square matrix A, in (N1) steps, the technique of Gauss elimination can transform into an ____________ matrix.7. In the circuit below write the loop equations and set up (not solve) the matrix equation for the load current. Wiso 150 75 28 100The 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…
- 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 %3DFollowing 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=0.5puThe mathematical relationship between the voltage and current in a J-FET is a ___. a.quadratic function b.All of the above c.sinusoidal d.exponential e.linear function
- The sample large power system network data's are given below, The total number of buses is 5 Three-phase short circuit fault subjected at the bus 5 The initial voltage of the faulted bus is 1.0 p.u The Zbus matrix element Z55 is 0.704 p.u Fault impedance Zf= 0.33 p.u Fault current (If )in p.u ..........Draw the single line diagram and determine the Y bus matrix for the given data. All admittances are given in pu. Bus Line Admittance in PU From To 1 2 -j1.0 3 -j2.5 4 -j5 3 4 -j5 3. -j1.25Solve 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.
- (b) For a 4-bus 3-phase, 100 kV, 50 Hz power system, the following Y-bus and corresponding Z-bus matrix are obtained using bases of 100 MVA and 100 kV. [- j28.333 j5 j6.667 j10 j5 - j28.333 j10 j6.667 Ybus p.u. j6.667 j10 - j16.667 j0 j10 j6.667 j0 - j16.667 [ j0.0903 j0.0597 j0.0719 j0.0780 Zbus j0.0597 j0.0903 j0.0780 j0.0719 pu. j0.0719 j0.0780 j01356 j0.0743 Lj0.0780 j0.0719 j0.0743 j0.1356] A symmetrical three-phase fault occurs at bus 4. By assumming prefault voltages to be at nominal values and prefault current to be zero, determine fault currents (in A) at bus 4 and voltages (in V) at all buses during fault if the fault is: (i) solid (bolted) fault. (ii) through reactance of 10 Q to the ground. (iii) Give comment based on your observation on the differences between results obtained from parts (i) and (ii) above.Develop impedance matrix (Z-bus) of power system network as shown in figure. [Values are given in per unit impedance.] j3 j4 j2 j3 j1 000Q2. Figure Q2 shows the single-line diagram. The scheduled loads at buses 2 and 3 are as marked on the diagram. Line impedances are marked in per unit on 100 MVA base and the line charging susceptances are neglected. a) Using Gauss-Seidel Method, determine the phasor values of the voltage at load bus 2 and 3 according to second iteration results. b) Find slack bus real and reactive power according to second iteration results. c) Determine line flows and line losses according to second iteration results. d) Construct a power flow according to second iteration results. Slack Bus = 1.04.20° 0.025+j0.045 0.015+j0.035 0.012+j0,03 3 |2 134.8 MW 251.9 MW 42.5 MVAR 108.6 MVAR