For a 208-V three-phase ideally balanced system shown below, Find: a) The magnitude of the line current I b) The magnitude of the load's line and phase voltages VLL and V c) The real, reactive, and the apparent powers consumed by the load; d) The power factor of the load. (2+) 0.06 Ω 10.12 Ω Wm 0.06 Ω 10.12 Ω Wm Von 120-240° Van = 12040° 208 V Von 1202-120°(2 0.06 Ω 0.12 Ω Wm Zo Z₁ = 12 +19 2 = 208 √3 = 120 V
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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.The instantaneous power absorbed by the load in a single-phase ac circuit, for a general R LC load under sinusoidal-steady-state excitation. is (a) Nonzero constant (b) Zero (c) Containing double-frequency componentsUnder balanced operating conditions, consider the three-phase complex power delivered by the three-phase source to the three-phase load. Match the following expressions, those on the left to those on the right. (i) Realpower, P3 (a) (3VLLIL)VA (ii) Reactive power, Q3 (b) (3VLLILsin)var (iii) Total apparent power, S3 (c) (3VLLILcos)W (iv) Complex power, S3 (d) P3+jQ3 Note that VLL is the rms line-to-line voltage, IL is the rms line current, and is the power-factor angle.
- The three-phase source line-to-neutral voltages are given by Ean=100,Ebh=10+240, and Ecn=10240volts. Is the source balanced? (a) Yes (b) NoHi . Need a solution and final answer for this question2) Figure shows three loads connected in parallel across a 1000-V (rms), 60-Hz single-phase source. Load 1: Inductive load, ... kVA, 0.28 p.f. lagging Load 2: Capacitive load, ... kW, 40 kvar Load 3: Resistive load, 15 kW Determine the total (a) kW, (b) kvar, (c) kva, and (d) supply power factor. (Please determine the power values within the specified limits: Load 1 apparent power: 100-150 kVA, Load 2 active power: 5-20 kW. By considering the power values you determined yourself, solve the question.) Load Load DE 1 2 Load 3
- Two balanced loads are connected to the a 240kVrms60Hz line as shown in the figure below. Load 1 draws30kW at a power factor of 0.6 lagging and load 2 draws 45 kVAR at power factor of 0.8 lagging. The real power, reactive power, and magnitude of the line current absorbed by the combined load is close to kW, kVAR, and A. Two balanced loads are connected to the a 240kVrms 60Hz line as shown in the figure below. Load 1 draws 30kW at a power factor of 0.6 lagging kW. and load 2 draws 45KVAR at power factor of 0.8 lagging. The real power absorbed by the combined load is close to Balanced load 1 Balanced load 2Draw a 3-phase wye-connected generator with transmission lines connected to a 3-phase delta-connected load. Assume the lines connecting them have an inductance of j5 per phase. The generated voltages are 120 Vrms with phase 'a' having a phase angle of 0°. The loads are 10 Ohm resistors per phase. When drawing, make sure to label all 3 phases with voltage phasors, line inductances, and load resistances.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.
- In a balanced Y-Y circuit shown in Figure 5, the magnitude of the phase voltage at the source is Vp = 2520 V (rms) and Van = 252020° V (rms). The load impedance is Zy = 135 + j55 Q per phase and the wire impedance is Zw=85 + j65 per phase. All the voltages and currents are in rms in this problem. (a) Find the phasors for line currents IA, IB, Ic in rms. (b) Find the load voltage VAN = IAZY. Also find VBN, and VCN. (c) Find the line voltages VAB, VBC, VCA at the load. (d) Find the complex power SL of the load. ZW ZY Van a A IA ZW ZY Vbn b В IB N ZW ZY Vcn IC Figure 51. a) Find the average power dissipated in the line shown.2. b) Find the capacitive reactance that when connected in parallelwith the load will make the load look purely resistive.3. c) What is the equivalent impedance of the load in (b)?4. d) Find the average power dissipated in the line when the capacitivereactance is connected across the load.5. e) Express the power loss in (d) as a percentage of the power lossfound in (a).Example: A balanced positive-sequence wye-connected 60 Hz three-phase source has line-to- line voltages of V,=1000 V. This source is connected to a balanced wye-connected load. Each phase of the load consists of a 0.2 H inductance in series with a 100 0 resistance. Find the line-to-neutral voltages, the line currents, the power, and the reactive power delivered to the load. Assume that the phase of Van is zero.