A two-pole three-phase permanent magnet machine is operating at steady-state. The rotor has a radius of...

 

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A two-pole three-phase permanent magnet machine is operating at steady-state. The rotor has a radius of 100 mm and the machine length (or depth) is 200 mm. The magnetic flux density produced by the rotor magnets in the air gap is sinusoidal with a peak value of |B| = 1.5 T. The stator has windings which are 180-degree-distributed and Y-connected with 10 turns each (or 20 half-turns, meaning that each group of coils has 10 conductors in a slot). If the rotor magnet flux is aligned to the 0-90° position, and the three phase currents are equal to iA = 10 A, B = -5 A, and ic=-5 A, find the developed electromagnetic torque, TEM, in the machine using the Lorentz Force equation. FA+ = 30N FB- = 7.5N Stator Oc Rotor 5A ⒸB+ Stator ὡς Rotor 5A ⓇB+ 10A OA+ SA- N 100mm Br A- 10A 10A OA+ SA- N 100mm Br A- 10A B- 5A 5A 5A 5A Fc- = 7.5N FA+ FB+ = 7.5N = 30N FC-= 7.5N FB+ = 7.5N S N S N Fc+ = 7.5N FA-= 30N FB-= 7.5N Fc+ = 7.5N FA-= 30N A two-pole three-phase permanent magnet machine is operating at steady-state. The rotor has a radius of 100 mm and the machine length (or depth) is 200 mm. The magnetic flux density produced by the rotor magnets in the air gap is sinusoidal with a peak value of |B| = 1.5 T. The stator has windings which are 180-degree-distributed and Y-connected with 10 turns each (or 20 half-turns, meaning that each group of coils has 10 conductors in a slot). If the rotor magnet flux is aligned to the 0-90° position, and the three phase currents are equal to iA = 10 A, B = -5 A, and ic=-5 A, find the developed electromagnetic torque, TEM, in the machine using the Lorentz Force equation. FA+ = 30N FB- = 7.5N Stator Oc Rotor 5A ⒸB+ Stator ὡς Rotor 5A ⓇB+ 10A OA+ SA- N 100mm Br A- 10A 10A OA+ SA- N 100mm Br A- 10A B- 5A 5A 5A 5A Fc- = 7.5N FA+ FB+ = 7.5N = 30N FC-= 7.5N FB+ = 7.5N S N S N Fc+ = 7.5N FA-= 30N FB-= 7.5N Fc+ = 7.5N FA-= 30N