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 000
Q: the per unit bus impedance matrix for the power system shown in the Figure.FIND THE ZBUS
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- To convert a per-unit impedance from old to new base values, the equation to be used is Zp.u.new=Zp.u.old(VbaseoldVbasenew)2(SbasenewSbaseold)Zp.u.new=Zp.u.old(VbaseoldVbasenew)2(SbasenewSbaseold)Zp.u.new=Zp.u.old(VbaseoldVbasenew)2(SbasenewSbaseold)Consider a single-phase electric system shown in Figure 3.33. Transformers are rated as follows: XY15MVA,13.8/138kV, leakage reactance 10 YZ15MVA,138/69kV, leakage reactance 8 With the base in circuit Y chosen as 15MVA,138kV determine the per-unit impedance of the 500 resistive load in circuit Z, referred to circuits Z, Y, and X. Neglecting magnetizing currents, transformer resistances, and line impedances, draw the impedance diagram in per unit.A bank of three single-phase transformers, each rated 30MVA,38.1/3.81kV, are connected in Y- with a balanced load of three 1, Y-connected resistors. Choosing a base of 90MVA,66kV for the high-voltage side of the three-phase transformer. spify the base for the low-voltage side. Compute the per-unit resistance of the load on the base for the low-voltage side. Also, determine the load resistance in ohms referred to the high-voltage side and the per-unit value on the chosen base.
- Consider the oneline diagram shown in Figure 3.40. The three-phase transformer bank is made up of three identical single-phase transformers, each specified by X1=0.24 (on the low-voltage side), negligible resistance and magnetizing current, and turns ratio =N2/N1=10. The transformer bank is delivering 100 MW at 0.8 p.f. lagging to a substation bus whose voltage is 230 kV. (a) Determine the primary current magnitude, primary voltage (line-to-line) magnitude, and the three-phase complex power supplied by the generator. Choose the line-to-neutral voltage at the bus, Va as the reference Account for the phase shift, and assume positive-sequence operation. (b) Find the phase shift between the primary and secondary voltages.please solve for nodal stress method. (if it is possible to apply supernodes)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 %3D
- In a given system of base power of 250 MW, and bus 3 is taken as reference. The per-unit reactances are X12 = 0.2 p.u., X13 = X23 = 0. 1 p.u. The power flow in the system is given as: PF12 = 50 MW, PF13 = 150 MW, PF23 = 50 MW. Based on readings from 2 meters (not including M12 meter), M13 = 145 MW (not calibrated), and M23 = 50 MW (well calibrated), deduce the flow on line 1-2. Select one: O a. PF12 = - 47.5 MW. O b. None of these O c. PF12 = 67.5 MW. O d. PF12 = 47.5 MW. O e. PF12 =- 57.5 MW. O f. PF12 = 57 MW.Q2. 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 MVARQ4 (a) (b) A 4-bus power system, as shown in Figure Q4a, of which the parameters are given in Table Q4a; the p.u. value of every component is given based on its own base values (rating). i) Draw an impedance diagram of the network, showing all impedances in p.u., on 1000 MVA and 20 kV base values in the Generator G3 zone. A three-phase short circuit occurs at busbar 3 through a rearance of j0.12 p.u., where the pre-fault voltage is 525 kV and the pre-fault current is neglected. Calculate the short circuit current in p.u. using Thevenin's Theorem. Describe the data required for each component of a typical power network when analysing faults, and the reasons for needing each item of data. T, bus 1 ∞to ΔΥ G₁ G₂ G3 T₁ T₂ Тз Transmission line: 150 Ω bus 4 T₂ bus 2 150 Ω 150 Ω G₂ YE bus 3 T₂ 머( YEA Figure 04a 500 MVA, 13.8 kV, XG1= 0.20 p.u. 750 MVA, 18 kV, XG2 = 0.18 p.u. 1000 MVA, 20 kV, XG3 = 0.17 p.u. 500MVA, 13.8 (A) /500 kV, XT1 = 0.12 p.u. 750 MVA, 18 (A) /500 kV, XT2 = 0.10 p.u. 1000…
- in distribution transformers; What is 30 degrees phase shift in delta-star connection? What are the disadvantages? (can you explain with drawing?)Using Kirchhoff's Law, determine the load currents. All The possible current and voltage equations. With complete solutionsA network consisting of a set of generator and load buses is to be modeled with a DC power flow, for the sake of conducting a contingency analysis. The initial flows calculated with the DC power flow give the following information: f°2-4 = - 65.3 MW and fº4-5 = 13.6 MW. The following values of LODF and PTDF factors are given: PTDF54,2-4 = -0.2609, LODF2-4,4-5 = -0.6087. Calculate the contingency flow on line 2-4 due to outage of line 4-5. Select one: O a. -75.5MW O b. None of these O c. -68.85MW O d. -73.58MW O e. 75.5MW O f. -61.75MW