5. Given v = 200 sin 377t V and i = 8 sin (377t-30°) A for an ac circuit. Determine (a) the power factor, (b) true power, (c) apparent power, and (d) reactive power.
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- A 100-kVA, 3,000-V, 50-Hz, 3-phase starconnected alternator. The effective resistance to ohmic resistance is 1.5. The ohmic resistance is obtained by connecting two terminals to a dc source. The current and voltage are 15 A and 6 V. A field current of 40 A produces short-circuit current of 200 A and an open-circuit e.m.f. of 1040 V (line value). Calculate the full-load percentage regulation and efficiency at a power factor of 0.8 lagging, with field and stray power losses equal to 2750 W.2. A 3Ø, 2000KW, 480V ∆-connected alternator is short-circuited and is operated at ratedspeed to produce rated current at 4A excitation. With the short-circuit remove andwith the excitation adjusted to 5A, the voltage between stator terminal is 330V. Theeffective resistance between terminal as measured with dc is 2Ω. Determine the %V.R.of the alternator at half-load and pf of 0.8 leading without changing any given values.q1: Discussion of power quality aspects that need to be considered before installing the power factor correction unit
- Problem : In the case of an industrial load with a power factor of 0.707 lagging, consuming 100 kW, and the line voltage at 60 Hz is 480Vrms, with a line resistance of 0.1Ω between the power company's transformer and the load, calculate the amount of power saved if the load's power factor changes to 0.94 leading. The answer is "3.771 Kilo-Watt has been saved" and also I want to know the concept of 'Power Factor'.Given:1. 3800 kVA , load of manufacturing plant2. 0.6815, lagging power factor3. 500 horse power, synchronous motor4. 87.4 percent motor efficiency 5. 0.9226 over-all power factor Calculate the power factor at which it must operate. Please show the formula and solution.A substation rated 1250 kVA is operating at full load at 0.8 pf lagging and to carry an additional load of 170 kW at 0.85 pf lagging. With the mentioned power factor, the substation is experiencing inefficient electrical system: high power losses, high voltage drops in the electrical equipment, and high electricity bill. To reduce power losses and to reduce the electricity bill, power factor correction is to be of high importance and consideration. In this regard, the owner requested to prepare a summary report consisting of the following details: A rightful power phasor diagram.
- A three phase, 3.73 KW, 220-volt induction motor (balanced load) has an efficiency of 86% and operates at 86.6% lagging power factor. An industrial heater is connected in delta consisting of three 36-ohm resistances. Find the kVA _________________ demanded by the combination, the power factor and the line currents,Ia=___________∠_____________,Ib=___________∠_____________,Ic=___________∠_____________. Phase sequence: ABC (please answer in 3 decimal points and clear solution!)Consider a house that has a 120V mains with mains frequencyof 60hz and a service current of 100A, which follows the safety standards of theresidential facilities.(a) Calculate the maximum power capacity.(b) Within the safety limit, the following devices can all operate at the sametime? If yes, what is the total power consumed? If not, what happens if all devicesare turned on at the same time and suggest a solution to the problem?- 4800W clothes dryer.- 400W washing machine.- 1200W dishwasher.- 1000W iron.- 860W air conditioning.- 150W color television.- 110W stereo sound.- 2400W electric stove.- 1200W microwave oven.- 1800W cooler.(c) Assuming that 60% of the maximum power were used daily, what is the total costper month for a kWh value of 10 cents?(d) Sketch the waveform, determine the phase difference and calculate the rms values of thefollowing waveforms: v(t) = 60 sin(wt + 20) and i(t) = 12 sin(wt - 20).A 300 HP balanced three-phase motor operates at 10√3 KVrms with a power factor of 0.8(-). The motor is in parallel with a power factor heating system unitary. a) If the power input of the installation has a power factor of 0.9(-), What is the three-phase power demanded by the oven? b. Indicate the operating current of the motor in phase a. note that 1 HP is equal to 0.746 KW. to.
- A resistor, in series with a 138-microfarad capacitor, is connected to a 60-cycle source.If the voltage drop across the capacitor is 115 volts and the power taken by the circuitis 922 watts, calculate (a) the circuit current, (b) the ohmic value of the resistor, (c) theline voltage, (d) the circuit power factor. draw the circuit diagramQ1. A three phase 440V, 15hp motor operating at full load, 90% efficiency and 80% lagging power factor is connected to the supply through a line having an impedance of 0.3+j1.0. Determine the current drawn by the motor and the supply voltage.A 25 kVA, 240 V single phase source supply the rated power at the rated voltage to a motor at 0.8 power factor lagging. Find the capacitor bank in order to improve the power factor to 0.9 lagging connected to a motor.a. Calculate the real power, reactive power and current before capacitor bank is connected? b. Calculate the power and reactive power after capacitor bank is connected? c.What is kVA rating of capacitor bank QC?