Consider The power system shown in Figure below. Use a 100-MVA base. Choose 17 kV as the voltage base for generator. The three- phase power and line-line ratings G1: 90 MVA 20 kV | G2: 90 MVA 18 kV X= 9% T1: 80 MVA 20/200 kV X= 120 0 X= 16% X- 20% 200/20 kV Line: 200 Line G1 Calculate the pu for T2
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- Transmission and distribution lines are important components of any power system study. Aluminium cable steel reinforced (ACSR) (with steel in the centre – as shown in Figure Q1 is normally chosen instead of copper for transmission Explain: (a)The choice of aluminium instead of copper (b)The need to use and place steel at the coreA three phase,Y connected, 215 V (line to line), 7.5 kW, 60 Hz, three pole IM has the following parameter values in Ohm/phase referred to the statorR₁ = 0.294 Ohm, R₂ = 0.144 Ohm, X₁ = 0.203 Ohm, X₂ = 0.409 Ohm, Xm = 10.25 Ohm.The total friction,windage and core losses may be assumed to be constant at 350 W independent of load. For a slip s = 0.02, compute the followingsa) Stator Currentb) Power Factor(pf)c) Rotor Speedd) Power Output(Shaft)e) Output(Shaft) Torquef) Efficiency(n)A three-phase system has balanced conditions so that the per-phase circuit representation can be used as shown in Figure 1 Select the turns ratio of the step-up and step-down transformers that the system operates with an efficiency greater than 99 percent. Moreover, find the complex power (received or given) of all components in the circuit and the V1 and V2 voltages. The load voltage is specified as 4 kV rms, and the load impedance is 4/3 ohm. ..
- Employ Kirchhoff’s Laws to analyze the circuit given below. Use corresponding variables I1 to I5as label to branch currents passing through R1 to R5, respectively. For horizontally orientedresistances, assume branch currents directed to the right. For vertically oriented resistances,assume branch currents pointed downwards. Fill in the blanks provided below the circuit. KVL equations:a. ________________________________________________________________________b. ________________________________________________________________________c. ________________________________________________________________________KCL equations:d. ________________________________________________________________________e. ________________________________________________________________________Branch currents:I1 = ______________________I2 = ______________________I3 = ______________________I4 = ______________________I5 = ______________________4) State the relation between line and phase values of voltage and current for 3-pha se DELTA connected load .state the equation for active, reactive power consumed by 3-phase load.Problem 2: A single-phase transformer of turn ratio (2:1), R1=0.72, X-2.52, R2-0.32, X2-1.52. The no-load current I,=10A leading the flux () by 64°. If the primary draws 45A at voltage is 500V and unity power factor. Determine by aid of a vector diagram: 1. Load voltage, 2. Load current, 3. Load power factor, 4. Load impedance, 5. Iron and copper losses, 6. Efficiency, 7. The percentage factor for maximum efficiency, 8. The magnetizing circuit resistance R., inductance
- Figure 3.32 shows the oneline diagram of a three-phase power system. By selecting a common base of 100 MVA and 22 kV on the generator side, draw an impedance diagram showing all impedances including the load impedance in per-unit. The data are given a follows: G:90MVA22kVx=0.18perunitT1:50MVA22/220kVx=0.10perunitT2:40MVA220/11kVx=0.06perunitT3:40MVA22/110kVx=0.064perunitT4:40MVA110/11kVx=0.08perunitM:66.5MVA10.45kVx=0.185perunit Lines I and 2 have series reactances of 48.4 and 65.43, respectively. At bus 4, the three-phase load absorbs 57 MVA at 10.45 kV and 0.6 power factor lagging.The voltages of a two-phase system are how many degrees out of phase with each other?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.
- do the discussion about Power measurement using Wattmeter, Ammeter and Voltmeter & Power measurement using Electronic Single phase measurement. Discuss the differences between both data. Why these problems occur and how to minimize it. Explain the role of power factor.Q1 Figure 1 shows the online diagram of a three-phase power system. By selecting a common base of 100 MVA and 22 kV on the generator side, draw an impedance diagram showing all impedancesincluding the load impedance in per-unit. The data are given as follows: G: 100 MVA 22 kV x= 0.18 per unitT1: 60 MVA 22/220 kVT2: 40 MVA 220/11 kVT3: 40 MVA 22/110 kVT4: 40 MVA 110/11 kVM: 66.5 MVA 10.45 kVLines 1 and 2 have series reactance’s of 48.4 and 65.43 V, respectively. Atbus 4, the three-phase load absorbs 57 MVA at 10.45 kV and 0.6 power factor lagging.Figure 1x =0.10 per unit x = 0.06 per unitx =0.064 per unit x= 0.08 per unit x =0.185 per unitGiven the ff. circuit, determine the currents i1, i2, and i3 using Gauss-Jordan Elimination. a. What is the value of i1? b. What is the value of i2? c. What is the value of i3 d. What is the voltage across the 3 ohm resistance? e. What is the power across the 3 ohm resistance?