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The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

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Page 1: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

The Magnetic Field of Synchronous Machines:

Slides to Complement Class Notes

by Constantine J. Hatziadoniu

Page 2: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

Stator Carries a 3-phase ac winding, Rotor carries a dc winding

Page 3: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

Machine with Salient Poles

Page 4: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

The Rotor is supplied via slip rings

Page 5: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

One phase with concentrated winding:Flux distribution is rectangular

Page 6: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

One-phase distributed winding: Flux space distribution is closer to sinusoidal

Page 7: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

Three phase stator: positive sequence currents

Page 8: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

Phase a is excited by a sinusoidal current: Air-gap field is a sinusoidal (space) distribution pulsating in time

Page 9: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

Phase a field is a two-pole magnet; The magnetic axis passes through the middle (axis) of the winding

Page 10: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

Phase b bi-polar field

Page 11: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

Phase c bi-polar field

Page 12: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

All three fields added in the air-gap: The resulting field is a rotating sinusoidal distribution

Page 13: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

The combined field (dashed line) moving around the air gap

Page 14: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

…Continued

Page 15: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

Instances of the rotating field: Field rotates ones around the air-gap within a complete electric period

Page 16: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

The winding arrangement of a four-pole machine

Page 17: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

Phase a of the 4-pole machine: The spatial distribution varies twice in a full cycle

Page 18: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

Phase b of the 4-pole machine

Page 19: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

Phase c of the 4-pole machine

Page 20: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

The three distributions shown for the 4-pole machine

Page 21: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

Combined field is a rotating distribution

Page 22: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

The 4-pole field rotates ½ times around in one electric period—the machine speed is reduced to half the speed of a 2-pole machine

Page 23: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

The Rotor Field of the 4-pole machine

Page 24: The Magnetic Field of Synchronous Machines: Slides to Complement Class Notes by Constantine J. Hatziadoniu

Rotor and Stator Fields rotate in step inside the airgap