3-2. Develop a table showing the speed of magnetic field rotation in ac machines of 2, 4,6, 8, 10, 12, and 14 poles operating at frequencies of 50, 60, and 400 Hz.3-3. The first ac power system in the United States ran at a frequency of 133 Hz. If theac power for this system were produced by a four-pole generator, how fast wouldthe shaft of the generator bave to rotate?3-4. 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 areconnected in series. The flux per pole in the machine is 0.060 Wb, and the speed ofrotation 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 turms of wire in each slot of the windings. All coils in cach phase areconnected in series. The flux per pole in the machine is 0.060 Wb, and the speed ofrotation 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 with5000 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 twophases. What happens to the resulting net magnetic field?3-8. If an ac machine has the rotor and stator magnetic fields shown in Figure P3–1, whatis the direction of the induced torque in the machine? Is the machine acting as a mo-tor or generator?

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Answered: 3-2. Develop a table showing the speed…

3-2. Develop a table showing the speed of magnetic field rotation in ac machines of 2, 4, 6, 8, 10, 12, and 14 poles operating at frequencies of 50, 60, and 400 Hz.

Introductory Circuit Analysis (13th Edition)

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Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

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Concept explainers

Magnetic Moment

The magnetic moment is defined as the alignment of a magnet and its strength when the magnet is creating a magnetic field. There are number of examples of the magnetic moment, few are a current carrying conductor in the form of coil, elements at microscopic levels like electrons and many more.

Question

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3-2. Develop a table showing the speed of magnetic field rotation in ac machines of 2, 4,
6, 8, 10, 12, and 14 poles operating at frequencies of 50, 60, and 400 Hz.
3-3. The first ac power system in the United States ran at a frequency of 133 Hz. If the
ac power for this system were produced by a four-pole generator, how fast would
the shaft of the generator bave to rotate?
3-4. 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 turms 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 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 two
phases. What happens to the resulting net magnetic field?
3-8. If an ac machine has the rotor and stator magnetic fields shown in Figure P3–1, what
is the direction of the induced torque in the machine? Is the machine acting as a mo-
tor or generator?

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