Three unequal single-phase loads are
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- The circuit shows an unbalanced electrical installation powered by a positive sequence symmetrical three- phase network of 380 V compound voltage. The loads are single phase. Load 1 absorbs an active power of 950 W with f.d.p. 0.5 inductive. Load 2 absorbs an active power of 1,140 W with f.d.p. Unit. Load 3 absorbs from the network an active power of 760 W with f.d.p. 0.5 capacitive. Taking the network voltage URN as the phase reference, calculate: a) complex expressions of the line currents IR. Is. and IT RO- SO TO IR Is IT U₁-380 V CARGA 1 P₁ =950 W cos p1=0,5 ind. CARGA 2 P₂=1.140 W cos p₂=1 CARGA 3 P3=760 W cos p3=0,5 cap.Two impedances consist of resistance of (15 ohms and series connectedinductance of 0.04 henry) and (resistance of 10 ohms, inductance of 0.1 henryand a capacitance of 100 microfarad, all in series) are connected in series andare connected to 230 volts, 50 – Hz AC source. Find: (a) current drawn, (b) voltageacross each impedance, (c) individual and total power factor. Draw the phasordiagram.Three single phase loads are connected to the 400 V, three phase lines, 60 Hz. Load 1 operating at 3 kVA, 0.8 power factor lagging and is connected at line "a" and "b", Load 2 is a 5 kW heater and is connected at line "b" and "c", Load 3 is 4.5 kW machine that operates at a power factor of 0.6 lagging and is connected at lines "c" and "a". a. What are the line currents Ia, Ib, and Ic in Amperes (in Polar form) b. What is the total power factor.
- Consider a 10 kVA, 200/400 V, 50 HZ: single-phase tranformer has the folloving test results:0.C. test: 200 V, 0.6A, 63 W (L.V.side)S.C. test : 20 V, 25A, 85 W (H.V. side)Deternine:i- The eficiengy at 75 % offiull-load at 0.9 leading power factor.ii -The secondary terminal voltage on fill-load at tunity power factonThree single phase loads are connected to the 400 V, three phase lines, 60 Hz. Load 1 operating at 3 kVA, 0.8 power factor lagging and is connected at line "a" and "b", Load 2 is a 5 kW heater and is connected at line "b" and "c", Load 3 is 4.5 kW machine that operates at a power factor of 0.6 lagging and is connected at lines "c" and "a". a. What are the line currents Ia, Ib, and Ic in Amperes (in Polar form) b. What is the total real power in W. c. Total Reactive Power. d. Total Apparent Power. e. What is the total power factor.Consider the three single-phase two-winding transformers shown in Figure 3.37. The high-voltage windings are connected in Y. (a) For the low-voltage side, connect the windings in , place the polarity marks, and label the terminals a, b, and c in accordance with the American standard. (b) Relabel the terminals a, b, and c such that VAN is 90 out of phase with Va for positive sequence.
- Two power system areas operating at a nominal frequency of 60 Hz are connected with a tie line, and have the following characteristics: Area 1: R1 = 0.015 pu and D1 = 0.8 pu on a base of 1500 MVA Area 2: R2 = 0.03 pu and D2 = 0.9 pu on a base of 500 MVA The power flow direction on the tie line is from Area 1 to Area 2. Using a common base of 1500 MVA, what is the per-unit steady-state frequency change (Aw) for a load increase of 150 MW in Area 1? Select one: O a. 1.4822 x 10-³ pu O b. - 0.8763 x 10-² pu O c. None of these O d. - 1.2677 x 10-³ puIn the circuit in the figure; L1 load draws 15 kVA with lagging power factor 0.6. The L2 load draws 6 kVA with a leading power factor of 0.8. According to this; What is the value of the complex power for the L2 load?(b) Differentiate between single phase and three phase alternating current (A.C) supply for the following aspects with adequate comparisons and sketches: (i) Generation of single phase and three phase e.m.f.s (ii) Sine waveforms(iii) Advantages or disadvantages of both phases
- Three single-phase transformers (ideal) are connected as shown in the figure below to supply a balanced 3-phase, 150 KVA, 600 VL load from primary 4.16 KVLL line. H1 X1 H2 X2 BALLANCED H1 X1 THREE PHAGE LOAD H2 X2 H1 X1 X2 (a) Draw (neatly) a phasor diagram showing the three, primary line-to-line voltages and the six secondary phase and line voltages. What is the phase relationship between the primary voltage VAB and the secondary voltage V12? Indicate on the phasor diagram:fAn 11 KV generating station has four identical 3-phase alternators A,B,C and D and each of 10 MVA and 12% reactance. There are two sections of bus-bar, P and O linked by a reactor rated at connected to bus-bar section MVA with 24% reactance. Alternators A and B are and alternators C and D to bus-bar section Q. From each section, load is taken through a number of 6 MVA, 11/66KV step-up transformers, each having a reactance of 3%. Calculate the current fed into a fault if a short-circuit occurs on all phases near the high-voltage terminals of one of the transformers at the bus-bar section Q. 10 MVA 10 MVA 12% 11 11 KV 10 MVA 24% -000000 10 MVA 12% o Q 10 MVA 12% 0 11 KV 6 MVA WWW 3% /wwwTask 3 A three phase, four wire star connected load consisting of: ZR: a resistor of 9500 in series with a 3H inductor ZB: a resistor of 1950 ZY: a resistor of 1950 in series with a 4µF capacitor Using the equipment available in the power lab (Room T017), connect the given load to a three-phase supply available in the lab and: 3.1. Determine the current of each line and the neutral current and measure the total power supplied by the source. 3.2. Analytically, calculate all currents and the total power and compare with those obtained in measurements. 3.3. Device a method and measure the waveform of the neutral current. Discuss the obtained waveform and the reason for any distortion in the waveform 3.4. Validate your calculations using computer simulation