dc motors ee153.pdf

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    MOTOR converts electrical energy to mechanical

    energy Its action is based on a principle that when acurrent-carrying conductor is placed in amagnetic field, it experiences a mechanicalforce, whose direction is given by FlemingsLeft Hand Rule

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    Significant Features of DC MotorsDC motors convert electrical energy into mechanical energy

    Constant mechanical power output or constant torqueTypes Shunt motors, series motors and compound motorsRapid acceleration or deceleration

    Extensively used as a positioning device because its speed as

    well as torque can be controlled precisely over a wide range1W to 10,000 hp

    Applications in automobiles, robots, VCRs, movie camera,

    electric vehicles, in steel and aluminum rolling mills, electrictrains, overhead cranes, control devices, etc.

    Biggest advantage over other motors Torque-speed characteristics of dc motors can be varied over a wide

    range while retaining high efficiency

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    +

    VT

    _

    Rf

    Ra

    +Eb

    _

    Iin

    IaIf

    EQUIVALENT CIRCUIT OF A SHUNTMOTOR

    fain III +=

    aab RIVE !=

    Eb back or counter

    emfV input voltageIin input current

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    Back emf depends, among other factors, upon the armature speed. High speed!high Eb!small IaLow speed!low Eb!high Ia

    Eb acts like a governor, i.e., it makes a motor self-regulating so that itdraws as much current as is just necessary.

    CONDITION for MAXIMUM

    EFFICIENCY

    Thus, gross mechanical power developed by the motor is

    maximum when back emf is equal to half the applied

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    F

    N rpsPulley

    r

    TORQUE

    T=F x r (N-m)Work done by this force in onerevolution= force x distance

    = F x 2"r JoulePower developed = F x 2"r x N

    = F x r x 2"N

    Watt Thus, P=2"NT

    Where;P power developed in W N speed in rps T torque in N-m

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    Armature Torque

    EbIa = 2"NTa where aPZN

    Eb

    !=

    !

    "

    #$

    %

    &=

    A

    PZIT

    aa '(2

    1

    Thus, For shunt motor; Ta#IaFor series motor; Ta#Ia2

    aa IT !"

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    Shaft Torque

    torque available for doing useful work

    N2

    watts

    !

    inoutputTsh =

    where N in rps Lost Torque = Ta-Tsh

    - due to iron and friction losses of the motor

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    SPEED OF A DC MOTOR From the equation We get

    and we assume $ # field currentFor Shunt motor;

    For series motor;

    a

    PZN

    Eb!

    =

    !

    bE

    kN =

    1

    2

    1

    2

    b

    b

    E

    E

    N

    N=

    2

    1

    1

    2

    1

    2

    a

    a

    b

    b

    I

    I

    E

    E

    N

    N!=

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    Speed Regulation

    Torque and Speed of a DC Motor

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    While studying motor characteristics, keep in mind the following relations:

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    Three possible methods of speed control: By Variation of Flux or Flux-control Method

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    Torque

    Speed

    MaximumTorque

    Flux Decreasing

    Trated

    Slow transient response Does not maintain maximum torque capability

    By Decreasing Flux

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    Armature or Rheostatic Control Method(Variation of Ra)

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    Torque

    Speed

    MaximumTorque

    By Changing Ra

    Ra increasing

    Power loss in Ra Does not maintain maximum torque capability Poor speed regulation

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    dcmotor 18

    Voltage Control Method

    (By Controlling Terminal Voltage Vt )This method of speed control is applicable for speeds below

    rated or base speed.

    %m

    VT

    T1 T2 T3

    T1

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