Lecture09

# Lecture09 - AC Machine Fundamentals Generators Motors...

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Page 1 Fundamentals of Power Systems Lecture 9 1 AC Machine Fundamentals z Generators z Motors z 3-phase z 1-phase z Synchronous z Induction Fundamentals of Power Systems Lecture 9 2 AC Machines Systematic z Fundamentals ± Principle of generating a rotating magnetic field ± Magnetomotive force and induced voltage ± Principle of generating a torque in machines ± Power flow in AC machines z Synchronous Machines ± Construction and operating principle ± Steady state model and phasor diagram ± Single generator operation z Induction (“Asynchronous”) Machines ±

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Page 2 Fundamentals of Power Systems Lecture 9 3 Space Vector Notation z Three windings, aa’ ,bb’ cc’, separated 120° mechanically carry a set of balanced three-phase currents (separated 120° electrically) z Space vector (in spatial xy plane) ± Represents the spatial direction of a vector quantity (H, B, possibly time dependent) ± Not to be confused with phasor diagram (time dependent scalar in Re/Im plane)! Excitation from winding aa’ alone y Fundamentals of Power Systems Lecture 9 4 Rotating Magnetic Field ' ' ' () s in ( ) ( ) sin( 120 ) s ( 240) Z ± q ± q aa M bb M cc M it I t t t v Ht it P B H Symmetric 3~ current system In linear region of the magnetic material (iron) the magnetic filed is proportional to the winding current v B ti t Due to spatial arrangement the three windings produce B-fields in three different directions Magnitudes shown here are for the positive peak of the corresponding phase b and c current
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## Lecture09 - AC Machine Fundamentals Generators Motors...

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