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This document explores the fundamental principles of two-pole motors and generators within the context of power electronics. It details the sinusoidal nature of magnetic flux through coils, the induced voltage equations, and the importance of counter-torque in generator action. Moreover, it covers the operational aspects of DC generators, including separately excited shunt generators and their interaction with the battery. Emphasis is placed on understanding electromagnetic principles and the relationship between torque and induced voltage in electrical machines.
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Elementary Two-Pole Motor ECE 442 Power Electronics
Elementary Two-Pole Generator ECE 442 Power Electronics
Voltage induced in the coil, e • Flux through the coil window is sinusoidal • Φ= Φmaxsin(ωt) • Voltage induced in coil,e • e = N(dΦ/dt) • e = NωΦmaxcos(ωt) • Emax = ωNΦmax • Emax = 2πfNΦmax • Erms = 4.44fNΦmax ECE 442 Power Electronics
Directions of induced voltage and current • Develop CCW counter-torque • “Bunching” must occur at the top of coil side B and the bottom of coil side A • Coil current is CCW as viewed from south pole ECE 442 Power Electronics
Basic DC Generator Separately Excited Shunt Generator ECE 442 Power Electronics
Generator Action • Permanent-magnet field • One-turn armature • Drive so that Ea>Ebat • Current Ia flows to charge Ebat ECE 442 Power Electronics
From a Circuit Point-of-View • “Generate” voltage Ea • When supplying current, the machine develops a “counter-torque” in opposition to the driving torque ECE 442 Power Electronics
Motor Action • “Uncouple” the Prime Mover • Eventually, Ea will decrease so that Ea<Ebat • Ia flows as shown • Armature turns in the same direction ECE 442 Power Electronics
From a Circuit Point-Of-View • Counter-emf, Ea, is induced, opposing the driving voltage Ebat • Machine develops a driving torque ECE 442 Power Electronics