Electric machinery fundamentals
5th Edition
ISBN: 9780073529547
Author: Chapman, Stephen J.
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 3, Problem 3.5P
A three-phase,
- What is the frequency of the voltage produced in this winding?
- What are the resulting phase and terminal voltages of this stator?
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AC Machinery Fundamentals
A three-phase delta-connected six-pole winding is installed in 36 slots on a stator. There are 150 turns of wire in each slot of the windings. All coils in each phase are connected in series. The flux per pole in the machine is 0.060 Wb, and the speed of rotation of the magnetic field is 1000 r/min. What are the resulting phase and terminal voltages?
A three-phase Δ-connected six-pole winding is installed in 36 slots on a stator. There are 150 turns of
wire in each slot of the windings. All coils in each phase are connected in series. The flux per pole in the
machine is 0.060 Wb, and the speed of rotation of the magnetic field is 1000 r/min.
(a) What is the frequency of the voltage produced in this winding?
(b) What are the resulting phase and terminal voltages of this stator?
A three-phase four-pole winding is installed in 12 slots on a stator. There are 40 turns of wire in each slot
of the windings. All coils in each phase are connected in series, and the three phases are connected in A.
The flux per pole in the machine is 0.060 Wb, and the speed of rotation of the magnetic field is 1800 r/min.
(a) What is the frequency of the voltage produced in this winding?
(b) What are the resulting phase and terminal voltages of this stator?
SOLUTION
(a) The frequency of the voltage produced in this winding is
(1800 r/min)(4 poles)
n„P
f, =
120
= 60 Hz
120
(b) There are 12 slots on this stator, with 40 turns of wire per slot. Since this is a four-pole machine,
there are two sets of coils (4 slots) associated with each phase. The voltage in the coils in one pair of slots
is
E, = 2nN of = /27(40 t)(0.060 Wb)(60 Hz) = 640 V
%3D
There are two sets of coils per phase, since this is a four-pole machine, and they are connected in series, so
the total phase voltage is
V, =…
Chapter 3 Solutions
Electric machinery fundamentals
Ch. 3 - What is the principal difference between a...Ch. 3 - Prob. 3.2QCh. 3 - Prob. 3.3QCh. 3 - What is the equation for the induced torque in an...Ch. 3 - The simple loop rotating in a uniform magnetic...Ch. 3 - Prob. 3.2PCh. 3 - The first ac power system in the United States ran...Ch. 3 - A three-phase, Y-connected, four-pole winding is...Ch. 3 - A three-phase, -connected, six-pole winding is...Ch. 3 - A three-phase, Y-connected, 60 Hz, two-pole...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The flux per pole of a two-pole generator is 7.5x10^-5 wb. A coil of 600 turns rotates in this magnetic field. It takes 0.0187 sec. for the coil to rotate from a point of maximum flux to one of minimum flux. Find the induced voltage.arrow_forwardA DC generator has an armature emf of 500 V when useful flux/pole is 20 mWb, and a speed of 625 rpm. The generated emf at a speed of 125 rpm and same flux isarrow_forward4. A magnetic circuit has a length of 100 cm and cross-sectional area of 5 square cm. The total flux is 10 x 10* webers. The coil has 100 turns and current of 4 amperes. What is the magnetic strength? a. 500 AT/m b. 400 AT/m c. 350 AT/m d. 450 AT/marrow_forward
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- The strength of the rotating magnetic field in a three phase induction motor is equal to times the flux produce ...... ....... in one of the phase windings. 1.25 1 O 1.5arrow_forward3. A group of electromagnets that create flux in a d-c generator (the field circuit) has an inductance of 18 henrys. If the 3.4 amp excitation is interrupted in 0.08 sec by the opening of the field switch, what average voltage is induced in the winding?arrow_forwardA magnetic circuit with a cross-sectional area of 20 cm? is to be operated at 50 Hz from a 120 V rms supply. The number of turns required to achieve a peak magnetic flux density of 1.8 T in the core isarrow_forward
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