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 3.4P
A three-phase, Y-connected, four-pole winding is installed in 24 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. The flux per pole in the machine is 0.060 Wb, and the speed of rotation of the magnetic field is 1800 r/min.
- 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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Students have asked these similar questions
A three-phase Y-connected four-pole winding is installed in 24 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. 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
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, =…
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?
Chapter 3 Solutions
Electric machinery fundamentals
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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
- A 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_forward3-4. A three-phase, Y-connected, four-pole winding is installed in 24 slots on a stator. There are 40 turns of wire in each slot of the windings. All coils in cach 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 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? 3-5. A three-phase, A-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 rolation of the magnetic fieid 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 sStator?arrow_forward3-5. A three-phase, A-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 cach phase are connected in series. The flux per pole in the machine is 0.060 Wb, and the speed of rolation 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? 3-6. Athree-phase, Y-connected, 60 Hz, two-pole synchronous machine has a stator with 5000 rurns of wire per phase. What rotor flux would be required to produce a termi- nal (line-to-line) voltage of 13.2 kV? 3-7. Modify the MATLAB in Example 3–1 by swapping the currents flowing in any twoarrow_forward
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- For the electromagnet of Figure-a. Find the flux density in the core.b. Sketch the magnetic flux lines and indicate theirdirection.c. Indicate the north and south poles of the magnet.arrow_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_forwardIn a certain magnetic circuit, the core is represented two reluctances as shown below. Assume a relative permeability ur = 2500, and a number of turns N = 640 turns. Find the flux that flows in the core for a current of 2.2 Amperes in the winding. = 30 KA.t/Wb R2 = 24.2 KA.t/Wb Select one: O a. p =26 mWb O b. p = 2.6 mWb O c. p = 0.016 Wb O d. Nonearrow_forward
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