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MEMS1049 Mechatronics Chapter 10 Actuators 10-3

Department of Mechanical Engineering

Department of Mechanical Engineering Electric Motor

Department of Mechanical Engineering Electric Motor

 DC Motor

Department of Mechanical Engineering Electric Motor

 DC Motor

Department of Mechanical Engineering Electric Motor

 DC Motor

Department of Mechanical Engineering Electric Motor

 DC Motor

Department of Mechanical Engineering Electric Motor

 DC Motor

Department of Mechanical Engineering Electric Motor

 Motor terminology

Department of Mechanical Engineering Electric Motor

 Motor field current interaction

Department of Mechanical Engineering Electric Motor

 Motor

It consists of a ring of alternating conductive and insulating materials connected to the windings; The slide on the surface of the commutator as it rotates

Department of Mechanical Engineering Electric Motor

 Field-field interaction to produce torque

The right brush contact with the commutator segment A, and the left brush contact with segment B

Department of Mechanical Engineering Electric Motor

 DC Motor

Department of Mechanical Engineering Electric Motor

 Motor Construction

Department of Mechanical Engineering DC Motors

 DC Motors can be classified into 4 categories: – DC permanent motor – DC shunt wound motor – DC series motor – DC compound motor

 Starting Toque Ts: the maximum torque the motor can produce, at zero speed

 No-load speed ωmax: is the maximum sustained speed the motor can attain.

Department of Mechanical Engineering Electric Motor

 Motor torque-speed curve

Department of Mechanical Engineering DC Motors

 DC permanent schematic and torque-speed curve

– IL is the load current PM motor is lighter and – V is the DC supply smaller than others; the actuator is linear. Used in .

Department of Mechanical Engineering Electric Motor

 Permanent magnet DC motor characteristics

Department of Mechanical Engineering DC Motors

 DC shunt wound schematic and torque-speed curve

– IA is the rotor ( ) current – IF is the current in the (field) winding – IL is the total load current The armature and field windings are parallel, and powered by the same source. Low starting torque, constant speed

Department of Mechanical Engineering DC Motors

 DC series schematic and torque-speed curve

– IA is the rotor (armature ) current – IF is the current in the stator (field) winding – IL is the total load current The armature and field windings are series, so the armature and field currents are equal. High starting torque; High speed when load is small

Department of Mechanical Engineering DC Motors

 DC series schematic and torque-speed curve

– IA is the rotor (armature ) current – IF is the current in the stator (field) winding – IL is the total load current Including both shunt and series field windings, resulting in combined characteristics of both shunt and series motor.

Department of Mechanical Engineering DC Motors

 Motor Armature equivalent circuit

Department of Mechanical Engineering DC Motors

 DC Motor Armature dynamic equation – As the conducting armature begins to rotate in the produced by the stator, a back emf Vemf is induced in the armature windings opposing the applied voltage. Vemf = Keω

– Ke is the electrical constant of the motor – R is the resistance of windings

– RL is the resistive loss in magnetic circuit, and an order of magnitude larger than R.

– Vin is the input voltage to armature – Iin is the current dI V = L in + RI + K ω in Dt in e Department of Mechanical Engineering DC Motors

 Permanent Magnet DC motor Dynamic Equation – The torque generated by a PM motor is proportional to the current

T = Kt Iin

– Kt is the torque constant

 When load is connected to the motor , the torque is given as dω T = (J + J ) +T +T a L dt f L – Where Ja and JL are polar moments of inertia of armature and the attached load

– Tf is the frictional torque opposing armature rotation, – TL is the torque dissipated by the load,

Department of Mechanical Engineering DC Motors

 At steady state condition dI V = L in + RI + K ω = RI + K ω in Dt in e in e  R  =   + ω Vin  T Ke  kt  – Solving the Torque  k  k k T =  t V − e t ω  R  in R  ω  ω =  −  T ( ) Ts 1   ωmax  Department of Mechanical Engineering DC Motors

 Comparing the above two equations, we have T R  kt  ω = s Ts =  Vin max  R  kekt – The power delivered to the load  ω  ω = ω = ω  −  P( ) T Ts 1   ωmax  – The maximum power output occurs at speed dP  2ω  1 =  −  = ω = ω Ts 1  0 max dω  ωmax  2 – The best speed to run a to achieve maximum power is half the no-load speed.

Department of Mechanical Engineering DC Motors

 The stall Current – In addition to electrical and torque constants, armature resistance R is also an important parameter – The stall current can be found in terms of the armature resistance and supply voltage V I = in s R – This equation is only valid when the motor is not turning; otherwise the current is affected by the back emf induced in the rotor windings – The stall current is the maximum current through the motor for a given supply voltage Department of Mechanical Engineering Electric Motor

 AC Motor: – As in the DC motor case, a current is passed through the coil, generating a torque on the coil. Since the current is alternating, the motor will run smoothly only at the frequency of the sine wave. It is called a . More common is the , where is induced in the rotating coils rather than supplied to them directly.

Department of Mechanical Engineering Electric Motor

 AC Motor: Induction Motor Action – Induction motors use shorted wire loops on a rotating armature and obtain their torque from currents induced in these loops by the changing magnetic field produced in the stator (stationary) coils.

– At the moment illustrated, the current in the stator coil is in the direction shown and increasing. The induced voltage in the coil shown drives current and results in a clockwise torque.

– Note that this simplified motor will turn once it is started in motion, but has no starting torque. Various techniques are used to produce some asymmetry in the fields to give the motor a starting torque

Department of Mechanical Engineering Electric Motor

 Simple AC Induction Motor – A large percentage of small AC motors are classed as induction motors. This implies that there is no current supplied to the rotating coils. These coils are closed loops which have large currents induced in them because of their low resistance. – An induction motor must achieve a to continue to exert a torque on the armature coils. In this example, the rotating field is achieved by the extra coils on the pole pieces.

Department of Mechanical Engineering Electric Motor

 AC induction motor

Department of Mechanical Engineering