2.4 For the single-phase circuit shown in the Figure I=10∠0° A. (a) Compute the phasorsI1,I2, and V, (b) Draw a phasor diagram showingI,I 1,I2, and V. 2.12 The voltage v(t)= 359.3 cos(ωt) volts is applied to a load consisting of a 10-W resistor in parallel with a capacitive reactance XC = 25Ω. Calculate (a) the instantaneous power absorbed by the resistor, (b) the instantaneous power absorbed by the capacitor, (c) the real power absorbed by the resistor, (d) the reactive power delivered by the capacitor, (e) the load power factor. 2.26 A small manufacturing plant is located 2 km down a transmission line, which has a series reactance of 0.5 Ω/km. The line resistance is negligible. The line voltage at the plant is 480∠0° V (rms), and the plant consumes 120 kW at 0.85 power factor lagging. Determine the voltage and power factor at the sending end of the transmission line by using: (a) a complex power approach, (b) a circuit analysis approach. 2.51 A three-phase line with an impedance of (0.2 + j1.0) Ω /phase feeds three balanced three-phase loads connected in parallel. Load 1: Absorbs a total of 150 kW and 120 kVAr; Load 2: Delta connected with an impedance of (150 + j48) Ω /phase; Load 3: 120 kVA at 0.6 PF leading; If the line-to-neutral voltage at the load end of the line is 2000V (RMS), determine the magnitude of the line-to-line voltage at the source end of the line. 3.8 For the circuit shown in Figure 3.31, determine v out ( t) . 0) ohms.0 + j2. 5. The transformer is delivering rated load at 0. Draw a phasor diagram for lagging power-factor condition at the load (receiving end).6 (a) Consider a medium-length transmission line represented by a nominal p circuit shown in Figure 5. (i) Draw the corresponding phasor diagram for lagging power-factor load condition (ii) Determine the ABCD parameters in terms of Y and Z.3. . Neglecting the transformer exciting current. 2400/240-volt.5) ohms referred to the high-voltage (primary) side. (b) Now consider a nominal T-circuit of the medium-length transmission line shown in Figure 5.14 A single-phase 50-kVA. and (c) the real and reactive power delivered to the sending end of the feeder. (b) the voltage at the sending end of the feeder.18. determine (a) the voltage at the transformer primary terminals. 60-Hz distribution transformer is used as a step-down transformer at the load end of a 2400-volt feeder whose series impedance is (1. for the nominal Tcircuit and for the nominal p-circuit of part (a).3 of the text.8 power factor lagging and at rated secondary voltage. The equivalent series impedance of the transformer is (1.0 + j2. and p. current. and a shunt admittance The load at the receiving end is 125 MW at unity power factor and at 215 kV. determine: (a) the practical line loadability in MW. Determine the voltage.0 pu. . three-phase overhead transmission line has a series impedance z=0. There is a single 180 MW load at bus 3. Also find the wavelength and velocity of propagation of the line. is loadability determined by the thermal limit.46 Load PowerWorld Simulator case Problem 6_46 (http://www.95 per unit. and (d) the percent voltage regulation. Then verify your solution by solving the case with PowerWorld Simulator . based on the above practical line loadability.powerworld.0 pu. the voltagedrop limit. leading.1 MVA. or steady-state stability? 6. while bus 2 is a PV bus with generation of 80 MW and a voltage setpoint of 1. each of the three transmission lines have an impedance of 0:05 þ j0:1 pu. Bus 1 is the system slack with a voltage setpoint of 1.14 and 5.99 V R ≈ 0.18 A 60-Hz.38.8431 e j 79.5. real and reactive power at the sending end and the percent voltage regulation of the line.45 For the line in Problems 5. Using a 100 MVA base.com/simulator-18-glover-sarma-overbye-editiondownload with 5th edition examples).105 ×10−5 e j 79. (b) the full-load current at 0. Show all your work.f. Manually solve this case using the Newton–Raphson approach with a convergence criteria of 0. 5.04 Ω/mi y=5. 230-mile.04 Ω/ mi . For this line. assuming 0 δ max ≈ 35 V s=1. (c) the exact receiving-end voltage for the full-load current in (b) above.0 per unit. both using the Newton-Raphson approach and PowerWorld.Now assume the generator at bus 2 operating with its reactive power limited to a maximum of 50 MVAr and repeat the load-flow calculations with bus as a PQ-bus. .