a) Find the rms magnitude and the phase angle of ICA in the circuit shown in Fig. P11.28. b) What percent of the average power delivered by the three-phase source is dissipated in the three- phase load?
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- 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.1. a) Find the rms magnitude and the phase angle of ICA in the circuit shown. 2. b) What percent of the average power delivered by the three-phase source is dissipated in the three-phase load?A Y-connected balanced three-phase source is feeding a balanced three-phase load. The voltage and current of the source coil are: Calculate the following: The rms phase voltage. The rms line-to-line voltage. The rms current in the source. The rms current in the transmission line. The frequency of the supply. The power factor at the source side, state leading or lagging. The three-phase real power delivered to the load. The three-phase reactive power delivered to the load. If the load is connected in delta configuration, calculate the load impedance.
- 1. Solve for the equivalent impedance and admittance seen at the source. Solve for is(t). 2. A load Z draws 12 kVA at a power factor of 0.856 lagging from a 120-Vrms sinusoidal source. Calculate: (a) the average and reactive powers delivered to the load, and (b) the peak current.An AC generator having an internal resistance of 2 k*(omega) is connected to an LCR circuit in series as shown in the figure. If the generator supplies an electromotive force, E = 282 sen (100*pi*t) volt, calculate:a) the impedance of the circuitb) the rms value of the current in the circuitc) the voltage drop across L, C and RThe sending-end voltage in the circuit seen is adjusted so that the load voltage is always 13,800 V(rms). The variable capacitor is adjusted until the average power dissipated in the line resistance is minimum. 1. a) If the frequency of the sinusoidal source is 60 Hz, what is thevalue of the capacitance in microfarads?2. b) If the capacitor is removed from the circuit, what percentageincrease in the magnitude of Vs is necessary to maintain 13,800V(rms) at the load?3. c) If the capacitor is removed from the circuit, what is thepercentage increase in line loss?
- The impedance ZL in the circuit is adjusted for maximum average power transfer to ZL. The internal impedance of the sinusoidal voltage source is 4+j7 Ω. 1. a) What is the maximum average power delivered to ZL?2. b) What percentage of the average power delivered to the lineartransformer is delivered to ZL?Two balanced loads are connected to a 240-kV rms 50-Hz line. Load 1 draws 30 kW at a power factor of 0.6 lagging, while load 2 draws 45 kVAr at a power factor of 0.8 lagging. Assuming the RYB sequence, determine: (a) the complex, real, and reactive powers absorbed by the combined load, (b) the line currents, and (c) the kVAr rating of the three capacitors ∆-connected in parallel with the load that will raise the power factor to 0.9 lagging and the capacitance of each capacitor. Verify the results by creating a MATLAB Simulink model and program. Obtain the plots for the currents and voltagesThe two loads shown can be described as follows: Load 1 absorbs an average power of 60 kW and delivers 70 kVAR of reactive power; Load 2 has an impedance of (24+j7) Ω. The voltage at the terminals of the loads is 25002 cos 120π t V.1. a) Find the rms value of the source voltage.2. b) By how many microseconds is the load voltage out of phase withthe source voltage?3. c) Does the load voltage lead or lag the source voltage?
- An investor own two large stores at Dubai. Both malls are connected in parallel and operating at an unknown voltage. The local utility system voltage is 13.8 kVrms and supplied power to the malls through a feeder line with impedance equal to 1+j2.5 ohms. Store 1 is consuming 400 kW at 0.8 pf lagging while Store 2 is consuming 300 kVAR at 0.75 pf lagging. Determine the following: a) The stores' operating rms voltages. b) The total real and reactive power of the ehole system. c) The overall pf of the whole system.The 9 Ω resistor in the circuit is replaced with a variable impedance Zo. Assume Zo is adjusted for maximum average power transfer to Zo. 1. a) What is the maximum average power that can be delivered toZo?2. b) What is the average power developed by the ideal voltage sourcewhen maximum average power is delivered to Zo?3. c) Choose single components from Appendix H to form animpedance that dissipates average power closest to the value in part(a). Assume the source frequency is 60 Hz.S.2) The serial impedance of the 300 km power transmission line is 23 + j75 ohm / phase and the shunt acceptance is j500 microS / phase. A power of 50 MW with a power factor of 0.88 under 220 kV interphase voltage from the end of the power transmission line being shot. Using these data of the energy transmission line, a) Characteristic impedance of the energy transmission line, b) Natural apparent power of the energy transmission line according to the 220 kV interphase operating voltage, c) The values of the line parameters A, B, C and D of the transmission line using hyperbolic functions, d) Calculate the maximum power that the power transmission line can transmit.