Question: P6- Using the sinusoidal approximation for static torque in a three-phase variable- reluctance stepper motor, the torques T, T2, and T3 due to the
P6- Using the sinusoidal approximation for static torque in a three-phase variable- reluctance stepper motor, the torques T, T2, and T3 due to the three phases (1, 2, and 3) activated separately, may be expressed as T = -Tmax sinn,0, = -Tmax sin(n,0 - 2 3 T3 = -Tmax sin(no - where is the angular position of the rotor measured from the detent position of phase 1, and n, is the number of rotor teeth. Using trigonometric identities, show that T + T = Tmax sin(n,0 3), 2/3 T2+T3-Tmax sin(n,0 - ), 5 T3 + T = Tmax sin(n,0 ), - 3 Using these expressions, show that the step angle for the switching sequence 1-2-3 is and the step angle for the switching sequence 1-12-2-23-3-31 is or. Determine the step angle for the two-phase-on switching sequence 12-23-31. 6
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