A balanced, three-phase, delta-connected load consumes 50-j20 kVA at a line-to-line voltage of 13.8 kV. Compute the per-phase impedance of this load assuming a series connection between R and X.
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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.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. ..
- Q2) A 13.2-kV single-phase generator supplies power to a load through a transmission line. The load's impedance is Zload = 500 236.87° ohm, and the transmission line's impedance is Zline = 60 253.1° ohm. To reduce transmission line losses to 0.0103 of its losses without using the transformers design and use two transformers T1 between the generator and the transmission line and T2 between the transmission line and the load.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 bThe 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.
- Two phases and the neutral of a 22-kV three-phase distribution line serve a remote rural road. A farmer along the road has a 455- V feeder supplying 225 kW at 0.4 PF lagging of three-phase loads, plus a total of 55 kW at 0.9 PF lagging of single-phase loads. The single-phase loads are distributed evenly among the three phases. For economic reasons, the utility used two single phase transform- ers, X and Y, in an open Y (primary) and open delta (secondary) to feed the farm, as in the figure. Find the voltages and currents in each of the four coils of the two transformers. Also find the active and reactive powers supplied by each transformer. Assume the transformers are ideal. A Yd5 open wye/open delta, feeding two three phase loads. x1 Yd5 (a) V₁1 (e) L1 (i) P, :— kW (j) Q : kVAr -A (f) — kV (b) V2V (c) Vy1kV (d) V₁2: Vy₁kV _V x2 L₂: M A (g) Iy: A (h) Iy2: _A _ kVAr (k) Py:kW (1) Qy:1. 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 N2. A three-phase transmission line has parameters Xc-6 k 2, R-3.25 2 and X₁-25 92, and delivers 300 MW to a load with both ends of the line at 230 kV. Draw a pi equivalent per-phase circuit of the line. On a per-phase basis, calculate the active power delivered to the load, the reactive power of the line and the active power delivered by the source. Based on these calculations can the equivalent circuit be simplified further?
- 2. A single-phase are distributor AB is fed from end A and has a total impedance of (0.3-0.3) ohm. At the far end, the voltage V-240V and the current is 100A at a p.f. of 0, 8 lagging. At the mid-point M. a current of 100 A is tapped at a p... of 0.6 lagging with reference to the voltage V_{M} at the midi-point. Calculate the supply voltage V Lambda j sending current I_{N} and the phase angle between V_{A} and V_{E}Question 3. A three-phase impedance load balanced D a connected load in parallel with a balanced ? connected load made of bonding. D each arm for the load ?D = 6 + 6? and ? each arm for the connected load It is given as ?? = 2 + 2?. ? the connected load ?? = 1? is earthed through the neutral impedance. To this impedance load, the symmetrical component voltages ?0 = 10∠60°, ?1 = 100∠0° and ?2 = Unbalanced phase-to-earth voltages ??, ?? and ?? of 15∠200° volts were applied. a) Draw the zero, positive and negative sequence circuits. b) Find the complex powers imparted to each component circuit.AC Power and Power Factor 1. Two loads are connected in parallel across a 13,200-volt line. Load A draws 200kW at 0.6 p.f. (lagging), load B takes 200kVA at 0.8 p.f. (lagging). Find the reactive, apparent and true power and the line current.