Consider the following three phase balanced circuit. 21020° Vrms j0.5 2 | 24– j21 N 2102-120° Vrms j0.5 2 (- + | 24– j21 N 1Ω | 24– j21 2 210Z120° Vrms j0.5 N ll Find average power dissipated by the delta connected load. (a) 8587.18 W (b) -8587.18 W (c) 7514.41 W (d) -7514.41 W
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- Let a series RLC network be connected to a source voltage V, drawing a current I. (a) In terms of the load impedance Z=ZZ, find expressions for P and Q, from complex power considerations. (b) Express p(t) in terms of P and Q, by choosing i(t)=2Icost. (c) For the case of Z=R+jL+1/jC, interpret the result of part (b) in terms of P,QL, and Qc. In particular, if 2LC=1, when the inductive and capacitive reactances cancel, comment on what happens.A three-phase line, which has an impedance of (2+j4) per phase, feeds two balanced three-phase loads that are connected in parallel. One of the loads is Y-connected with an impedance of (30+j40) per phase, and the other is -connected with an impedance of (60j45) per phase. The line is energized at the sending end from a 60-Hz, three-phase, balanced voltage source of 1203V (rms. line-to-line). Determine (a) the current, real power. and reactive power delivered by the sending-end source: (b) the line-to-line voltage at the load: (C) the current per phase in each load: and (d) the total three-phase real and reactive powers absorbed by each load and by the line. Check that the total three- phase complex power delivered by the source equals the total three-phase power absorbed by the line and loads.Under balanced operating conditions, consider the 3-phase complex power delivered by the 3-phase source to the 3-phase load. Match the following expressions, those on the left to those on the right. 0) Real power, Py (ii) Reactive power, Qu (ii) Total apparent power Sy (iv) Complex power, Sy (a) (V3 VLL. IL)VA (b) (V3 Vu sng) var (e) (V3 VLL. IL cos ø) W (d) Py +Qy Note that VLL is the rms line-to-line voltage, IL is the ms line current, and o is the power-factor angle.
- Which termination would result to a phase change of 180 degrees at the load if Zo = 100 ohm? a. 50 ohm b. short circuit c. 75 ohm d. all of these What is the purpose of impedance matching? a. maximum return loss b. maximum SWR c. maximum load power d. maximum reflection A short piece of transmission line that may be open or shorted and used for impedance matching purposes. a. converter b. decoder c. stub d. transformerA three-phase, 3-wires CBA System alternator, sending 3-phase voltages of 339.4 volt to the lines, having a delta connected load, with VCA is the reference vector. ZBC = 12.99 – j7.5 ZCA = 8.66 + j5 ZAB = 10 + j0 Determine the phase and line current b) draw the phasor diagram and c) true power generates by the generator neglect the line losses.Shown are two buses connected via a transmission line. Connected to Bus 1 is a generator(modelled as a voltage source V1), and to Bus 2 is a generator( with Voltage V2) and a load. The line impedance Z = R + jX is not known. Three-phase load is forecasted as 100MW + 60MVar. Generator at Bus 2 is scheduled to deliver 40MW and its excitation is adjusted for the machine to deliver 55 MVar. Voltage at Bus 1 is 241 KV angle 10 deg, while voltage at bus is 230 kV; use V2 as the reference for all angles. 1. What is the current (RMS) in amperes drawn by the load connected to Bus 2? 2. How much real power (in MW) is delivered by the generator connected to Bus 1? 3. What is the total real power loss along the line, in percent of the load? 4. What is the X/R Ratio of the line impedance?
- Consider a 3-phase delta induction motor that is operating at 120 Hz. The motor (load) impedance, Z_Δ is given as (9+j12)Ω. The line-to-line voltage at the load is, ?_ab=416 ∠30ºVrms. Let the source be wye-connected, and line impedance be negligible. a) Draw the single-phase wye equivalent circuit and label all known parameters numericallyincluding load voltage. b)Determine the rms phase current phasors for each phase. c) Calculate the complex power consumed by the 3-phase load. d) Determine the capacitance value of each capacitor in a 3-phase delta capacitor bank needed to correct the load to a power-factor of 0.9, lagging.The one-line diagram of a three-phase power system is as shown in the figure attached. Impedances are marked in per unit on a 100-MVA, 400-kv base. The load at bus 2 is S(sub 2) = 15.93 MW - j33.4 Mvar, and bus 3 is S(sub 3) = 77MW + j14 Mvar. I tis required to hold the voltage at bus 3 at 400 angle 0 degrees kV. Working in per unit, determine the voltage at buses 2 and 1.In the figure, the circuit is given as VRS =√3 . 60V and Zy = 6 + j8. Find the value of C to be connected in order to make the power drawn from the system in a phase 1, to make the load current 1, and to make cos(φ) 1.
- 5.5 kW, 1450 rpm. L-type equivalent circuit and parameters for a continuous sinusoidal phase of a star connected 3-phase ASM with line voltage 220 V and frequency 50 Hz are given as follows, ignoring core (iron) losses: R1=0.21 Ohm, R2=-0.18 Ohm, X1=X2-0.66 Ohm and Xm = 9.9 Ohm How many times the inrush current will be the rated current when the ASM is started directly? Answer options group 8.0815 2.6455 4.3763 7.1534 1.2558 6.3414 5.2280 3.7473Can you please solve the d e f parts? Three symmetrical three-phase loads are connected in parallel. Load 1 is connected in Y with an impedance of 400 + j300Ω / φ, load 2 is connected in with with an impedance of 2400 - j1800Ω / φ and load 3 is evaluated at 172.8 + j2203.2 kVA. Loads are supplied from a distribution line with an impedance of 2 + j16Ω / φ. Size of the voltage between the line and the neutral conductor at the end of the charge the line is 24√3 kV. The operating frequency is 50 Hz.(a) Calculate the line currents and the phase currents of the loads.(b) Calculate the total complex power at the receiving end of the system.(c) Calculate the total complex power at the transmitting end of the line.(d) Calculate the values of the compensation capacitors which are connected from the line to the neuron at the load end of the system so that the power factor at the load end reaches pf ≥ 0.98.(e) What if the capacitors are connected from one line to another? What would be the best…A 3-phase Y-connected load draws power from a 3-phase Y-connected source. The source voltage, ?=440∠0º?_rms and the load impedance, Z_y=(30+j15) Ω. The line impedance, Z_line= (1+j1)Ω and the system operates at 60 Hz. a) Draw the single-phase equivalent circuit and label all given quantities numerically. b) Calculatethe rms line (phase) current phasor in each phase. c) Calculate the total active or real power supplied by the source. d) Calculate the total active or real power consumed by the load. e) Calculate the total line loss i.e. the total activepower lost due to line. f) Determine the power efficiency of the system.