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 VDL c) The real, reactive, and the apparent powers consumed by the load; d) The power factor of the load. Von=1202-240° Vbn = 120-120° 2* an=12020° 0.06 Ω www 10.12 Ω 0.06 Ω 10.12 Ω ww 208 V น. น Z₁ = 12 +19 Zo 0.06 Ω 10.12 Ω www V, 208 √√3 = 120 V
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- 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) NoLet 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 components
- 3. A three phase source, 4-wire having a per phase voltage of 230V. An unbalanced load is connected to the three phase source. The load impedances are: Zan = 15253.13° N; Zbn = 152-53.13° ; Zen = 150° Assuming negative sequence and the reference is the phase voltage "a", determine: a. the line current "a" b. the line current “b” c. the line current "c". d. the total real power e. the total reactive power f. the total apparent power g. the overall power factor h. the neutral current.Q2 BbbbbbbbbbbbbbbbbFigure Q2(a) shows a positive sequence three phase circuits. Given a line-to-line voltage at generator, ERY = 415230°V. With assumption that all load impedance are balanced, Zn=Zyb=Zbr= 15 + jl8 2, determine all phase currents at each load and line currents. Include the phasor diagram for all currents in your analysis. R Zry Zyt Figure Q2(a) If the transmission line in three phase circuit at Figure Q2(a) has a impedance of 1+j20 for each phase, determine the phase voltages for each load with using an appropriate analysis. Use phase voltage at generator, ERN as a reference. Then determine the total apparent power, active power and reactive power supplied by the generator.
- Suppose that a current source with Is amperes of current is connected in parallel to a pair of impedances Z₁ and Z2. Let I₁ be the current through Z₁ and 12 be the current through Z₂. Then, the total voltage Is is divided between 1₁ and 12 in proportion to impedance values Z₁ and Z2. a. True O b. FalseIn a three-phase system voltage, assume that the phase-to-neutral voltage at phase “b” is considered as the reference (zero phase angle). 1. State the positive sequence and the negative sequence. 2. Solve the following for both sequences: a. the line-to-neutral voltages : VAN ,VBN and VCN b. the line-to-line voltages : VAB , VBC and VCATwo impedances Z₁ and Z2 are connected in series to a voltage source with voltage Vs volts. Let V₁ be the voltage across Z₁ and V₂ be the voltage across Z2. Then, the total voltage Vs is divided between V₁ and V2 in proportion to impedance values Z₁ and Z2. O a. True O b. False
- The one-line diagram of a three-phase power system is shown in the above figure. The line impedances are in per- unit on a 100-MVA base, and the line admittances are neglected. Use Gauss-Seidel method in Matlab to analyze the system the tolerance of error is 10-3. Then anwser the questions as follows. V, = 1.05200 0.01+ j0.025 300 + j200 MVA 0.015 + j0.035 150 MW 200 +j150 MVA 0.01+ j0.03 |V = 1.03 The admittance matrix (Y_bus)? 0.02 + jo.04 0.0125 + jo.03 2.4) A balanced delta connected load of ...+j18 ohm per phase is connected at the end of a three phase line as shown in figure. The line impedance is 1+j2 ohm per phase. The line is supplied from a three-phase source with a lie- to-line voltage of 207.85 V rms. Taking Van as reference, determine the following: a) Current in phase a. b) Total complex power supplied from the source. c) Magnitude of the line-to-line voltage at the load terminal. (Please determine the impedance value within the specified limits: 16-26 V. By considering the impedance value you determined yourself, solve the question.) ao- |V₂| bo Co- 1 +j2 Ω = 207.85 V www Figure a Jum ...+j18 n b1. Given the circuit below, the phase voltages are given by Van = 20040° Vrms. The source impedance is 5 + j7 per phase and the wire impedance is 8 +j10 per phase. Let the load impedance be Zy = 50 ohms. Find: Van Vin Ven a. II, and Ic b. c. VAN, VBN, and VCN, and VAB, VBC, and VCA Z₂ Z₂ Z₂ Zw Zw Zw B C le N