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Stepper motors are motors used to advance the position of a shaft or other mechanical device by a fixed amount each time a control pulse is received. They are used extensively in control systems for positioning objects.
Typology: Lecture notes
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Constructional details of single phase induction motor – Double field revolving theory and operation – Equivalent circuit – No load and blocked rotor test – Performance analysis – Starting methods of single-phase induction motors
skewing prevents magnetic locking of stator and rotor teeth and makes the working of induction motor more smooth and quieter.
2. Capacitor Start Induction Run Motors - In this motor, the phase difference between Is and Im is produced by connecting a capacitor in series with the starting winding. - The capacitor is electrolytic type and is mounted outside the motor as a separate unit. - When the motor reaches about 75 percent of the full speed, the centrifugal switch S opens and cuts out both the starting winding and capacitor from the supply, thus leaving only the running winding across the lines. - As shown in figure, current Im drawn by the main winding lags the supply voltage V by a large angle whereas Is leads V by a certain angle. - The two currents are out of phase with each other by about 80^0 as compared to nearly 30^0 for a split phase motor. - Torque developed is proportional to sin α (angle between Is and Im), therefore starting torque is as high as 350 to 450 percent. 3. Capacitor Start and Run motor
Imagine that the single phase induction motor is made up of one stator winding and two imaginary rotor windings. One rotor is rotating in forward direction i.e. in the direction of rotating magnetic field with slip s while other is rotating in backward direction i.e. in direction of oppositely directed rotating magnetic field with slip 2 - s. Without Core Loss Let the stator impedance be Z Ω Z = R 1 +jX 1 Where R 1 = Stator resistance, X 1 = Stator reactance, X 2 = Rotor reactance referred to stator R 2 = Rotor resistance referred to stator Hence the impedance of each rotor is r 2 + j x 2
2
2
2 2 The resistance of forward field rotor is r 2 2 while^ the resistance of backward field rotor is r 2
(2-s) As the core loss is neglected, R 0 does not exist in the equivalent circuit. The x 0 is half of the actual magnetising
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2 So the equivalent circuit referred to stator is shown in the Fig. The impedance of the forward field rotor is Zf is parallel combination of (j x 0 ) and (r 2 /s) + j x 2. While the impedance of the backward field rotor is Zb is parallel combination of (j x 0 ) and (r 2 / (2-s)) + j x 2. Under standstill condition, s = 1 and 2 - s = 1. Hence Zf = Zb and Vf = Vb. But in the running condition, Vf becomes almost 90 to 95 % of the applied voltage. Equivalent impedance, Zeq = Z 1 + Zf + Zb Let I2f = Current through forward rotor referred to stator and I2b = Current through backward rotor referred to stator
Xeq = JZ^2 - R^2 ; eq eq Assume, X = X ; therefore rotor reactance referred to stator, X (^) = Xeq (^1 2 2 ) The stator resistance R 1 is measured by voltmeter-ammeter method, by disconnecting the auxiliary winding and capacitors present if any. Due, to skin effect, the a.c. resistance is 1.2 to 1.5 times more than the d.c resistance. Thus with these two tests, all the parameters of single phase induction motor can be obtained. RELUCTANCE MOTOR
1 Operation ofa Hysteresis Motor
Where, ke is Eddy current constant, f 2 is the eddy current frequency, B is the flux density The relation between rotor frequency f 2 and supply frequency f 1 is f 2 = sf 1 where s is the slip.
Pe sws or Te = K’s ............... (1)
Kef^2 B^2 ws
The Torque due to hysteresis is Th Kh f 1 B1.
Ph sws
Where k” = ws
magnetic axis of main poles.
BRUSH LIFTING TYPE- In this type the brush is lifted as soon as the commutator is short circuited to avoid unnecessary wear and tear and losses due to friction. So in this type the brush is present only when the motor is started as a repulsion one. BRUSH RIDING TYPE- In this type of motors the brushes ride along with the commutator at all times. So the brushes are present even after the commutator is short circuited. Applications Compressors, Hoists, Pumps, Machine tools, Floor-polishing Repulsion induction motor