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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.

3-2. 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)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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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?
Transcribed Image Text: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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