Pearson eText for Electrical Engineering: Principles & Applications -- Instant Access (Pearson+)
7th Edition
ISBN: 9780137562855
Author: Allan Hambley
Publisher: PEARSON+
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1. A three-phase, three-wire, 240 V, ABC system supplies a delta-connected load
in which ZAB = 25/90°, ZBC = 15230° and ZCA = 200°.
a) Find the line currents and the total real and reactive powers supplied by the
source. Draw the phasor diagram for the line voltages and phase and line
currents.
Vc
VA
AT
VB ICT
1
CA
ZAB
| BT
ZBC
b) A 240 V, 2 HP, 0.95 efficiency, single-phase motor is connected as shown
below. The motor is operating at 0.85 p.f. lagging. Repeat (a). Include the
motor current in the phasor diagram
VA
AT
ZAB
Ꮓ
ΑΒ
V
B
CT
1BT
M
ZBC
ZCA
2. A three-phase, four-wire, 208 V, ABC system supplies a Y-connected load in
which Zд = 100°N, Z = 15/30° and Zc = 104-30°. Find the line
currents, the neutral current and total real and reactive powers. Draw the phasor
diagram of the phase voltages and currents.
ZA
=
3. A three-phase, three-wire, 208 V, ABC system supplies a Y-connected load in
which ZA 100°, ZB = 15230° and Zc = 10-30°. Find the line
currents, the phase voltages across the load impedances, the total real and reactive
powers and the voltage Von
VA
ZA
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- Discuss the importance of power-factor correction in a.c. systems. A 400 V, 50 Hz, three-phase distribution system supplies a 20 kVA, three-phase induction motor load at a power factor of 0.8 lagging, and a star-connected set of impedances, each having a resistance of 10 Ω and an inductive reactance of 8 Ω. Calculate the capacitance of delta-connected capacitors required to improve the overall power factor to 0.95 lagging. ANS: 75 µF/pharrow_forwardA 3-phase, wye-connected generator induces 2400 V in each of its windings. Calculate the line voltage.arrow_forwardwhy Low Pass filter (LPF) R₁C=S V₁ R т Tc Voarrow_forward
- Don't use ai to answer I will report you answerarrow_forwardA 60hp,3-phase motor absorbs 50 kW from a 600 V,3-phase line. If the line current is 60 A, calculate the following: a. The efficiency of the motor b. The apparent power absorbed by the motor c. The reactive power absorbed by the motor and the power factor of the motorarrow_forwardThree 15Ω resistors and three 8Ω reactors are connected as shown in Fig. 18. If the line voltage is 530 V, calculate the following: a. The active, reactive, and apparent power supplied to the 3 -phase load b. The voltage across each resistorarrow_forward
- Three resistors are connected in delta. If the line voltage is 13.2kV and the line current is 1202 A, calculate the following: A) the current in and the voltage acroos each resistor B) The power supplied to each resistor and the 3 phase load C) The ohmic value of each resistorarrow_forwardWith the aid of a phasor diagram show that the active power and power factor of a balanced three-phase load can be measured by two wattmeters. For a certain load, one wattmeter indicated 20 kW and the other 5 kW after the voltage circuit of this wattmeter had been reversed. Calculate the active power and the power factor of the load. ANS: 15 kW, 0.327arrow_forwardState the advantages to be gained by raising the power factor of industrial loads. A 400 V, 50 Hz, three-phase motor takes a line current of 15.0 A when operating at a lagging power factor of 0.65. When a capacitor bank is connected across the motor terminals, the line current is reduced to 11.5 A. Calculate the rating (in kVA) and the capa citance per phase of the capacitor bank for: (a) star connection; (b) delta connection. Find also the new overall power factor. ANS: 3.81 kvar, 70.5 µF, 23.5 µF, 0.848 laggingarrow_forward
- A single wattmeter is used to measure the total active power taken by a 400 V, three-phase induction motor. When the output power of the motor is 15 kW, the efficiency is 88 per cent and the power factor is 0.84 lagging. The current coil of the wattmeter is connected in the yellow line. With the aid of a phasor diagram, calculate the wattmeter indication when the voltage circuit is connected between the yellow line and (a) the red line, (b) the blue line. Show that the sum of the two wattmeter indications gives the total active power taken by the motor. Assume the phase sequence to be R–Y–B. ANS: 11.7 kW, 5.33 kWarrow_forwardPlease help mearrow_forwardDon't use ai to answer I will report you answer.arrow_forward
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