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Synchronous Motors • Constant-speed machine • Propulsion for SS “Queen Elizabeth II” – 44 MW – 10 kV – 60 Hz – 50 pole – 144 r/min Synchronous Motors (continued) • Construction – Stator identical to that of a three-phase induction motor – now called the “armature” – Energize from a three-phase supply and develop the rotating magnetic field – Rotor has a DC voltage applied (excitation) Synchronous Motors (continued) • Operation – Magnetic field of the rotor “locks” with the rotating magnetic field – rotor turns at synchronous speed Cylindrical (Round) Rotor Constructed from solid steel forging to withstand large centrifugal stresses inherent in high-speed operation Used for high speed, low inertia loads (low starting torque) Salient-Pole Rotor Excitation Windings Salient-Pole Rotor with shaft-mounted DC exciter Need carbon brushes to make contact with the commutator Salient-Pole Rotor with brushless excitation Synchronous Motor Starting • Get motor to maximum speed (usually with no load) • Energize the rotor with a DC voltage The VARISTOR or resistor in shunt with the field winding prevents high voltage from being induced during locked-rotor and acceleration. The induced current helps to accelerate the rotor by providing additional torque. Brushless Excitation How it works • Frequency-sensitive Control circuit – – – – – Looks at emf induced in the field fr = sfs At locked-rotor, s=1, fr = fs Close SCR1 – block current from field Open SCR2 – connect discharge resistor across the field How it works (continued) • As the speed approaches ns, fr gets small, fr = sfs approaches 0 – Open SCR2 – disconnects the discharge resistor – Close SCR1 – allows field current to flow Salient-Pole Motor operating at both no-load and loaded conditions Angle δ is the power angle, load angle, or torque angle Rotating Field Flux and Counter-emf • Rotating field flux f due to DC current in the rotor. A “speed” voltage, “counter-emf”, or “excitation” voltage Ef is generated and acts in opposition to the applied voltage. • Ef = nsfkf Armature-Reaction Voltage • Rotating armature flux, ar is caused by the three-phase stator currents. The induced speed voltage caused by the flux ar cutting the stator conductors. • Ear = nsarka Armature-Reaction Voltage (continued) • Ear = nsarka • ar proportional to armature current Ia • Ear = (Ia)(jXar) – where Xar = armature reactance (Ω/phase) Equivalent Circuit of a Synchronous Motor Armature (One Phase) V I R I jX I X E T a a a X X X s l l a ar V E I (R jX ) T f a V E I Z T f a a s s ar f Phasor Diagram for one phase of a Synchronous Motor Armature Synchronous-Motor Power Equation • In most cases, the armature resistance is much smaller than the synchronous reactance, so the synchronous impedance Zs is approximately equal to jXs . The Equivalent-Circuit and Phasor Diagram IaXscosθi = -Efsinδ The Synchronous-Motor Power Equation • VTIacosθi = -(VTEf/Xs)sinδ • VTIacosθi = power input per phase = Pin,1Φ • -(VTEf/Xs)sinδ = magnet power per phase developed by a cylindrical-rotor motor (a function of Ef and δ) • Pin,1Φ = -(VTEf/Xs)sinδ is the synchronousmachine power equation • For three phases, – Pin = 3(VTIacosθi) proportional to Iacos θi – Pin = 3(-VTEf/Xs)sinδ proportional to Efsinδ