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    1

    Sixth Lecture

    Types of Transducers and Their Applications

    Instrumentation and Product Testing

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    2

    1.1 Distinction Between The Sensor And

    Transducer

    A sensible distinction is to use sensor forsensing element itself and transducer for the

    sensing element plus any associated circuitry.

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    3

    E+

    Sensor

    Transducer

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    4

    1.2 Active and passive transducers

    Passive transducer

    A component whose output energy is supplied entirely

    or almost entirely by its input signal is commonly called

    a passive transducer.

    Active transducer

    An active transducer requires an auxiliary source of

    power which supplies a major part of the output powerwhile the input signal supplies only an insignificant

    portion. Normally, the output magnitude of the active

    transducer is higher than that of the passive type.

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    We can further classify transducers according to their

    function (displacement, temperature, force)

    physical property (inductive, photo-voltaic,

    piezo-electric)

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    2.1 Transducer of linear displacement

    Force and displacement are closely linked. A

    true/ideal displacement transducer is one which

    requires a negligible force to make a large

    displacement.

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    Resistive type

    The simplest linear displacement transducer is a linearpotentiometer.

    +

    -

    V

    x

    Output vo

    Linear displacement

    x

    noisy

    Output vo

    Output /Input

    function:

    vo = (V/L) x

    Use a linear potentiometer as a linear displacement transducer

    2.2 Analog Methods

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    Features :

    1. Simple and cheap2. Accuracy depends on quality and dimension of

    the resistive wire used or the quality of the

    resistive film.

    3. The force required to operate, although small,depends on the size of the potentiometer, but

    that required to start movement of the slider is

    generally about twice that to keep it in motion.

    4. The frequency response is limited by the mass of

    the system but small transducer can have a flat

    response up to 50 or 60 Hz.

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    Main demerit :

    The output is very noisy when the slider moves.

    Cause of the noise are many: dirt and corrosion on thewire; chatting and vibration of the slider contact;

    variation of contact area as the slider moves;

    resolution noise when the slider makes and breaks

    contact with a turn of wire; etc.

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    Inductive type

    An important displacement transducer used in industrial

    and medical application is the linear variabledifferential transformer (LVDT).

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    MOTION

    + -

    S1

    + -

    ~+ -

    P

    + -

    S2

    Eo

    E E2

    CF

    F. Coil former;

    C. Movable core;

    P. Primary winding;

    S1 and S2. Secondary

    windings;

    E1. Induced voltage in S1;

    E2. Induced voltage in S2.Eo. Output voltageE1 -E2

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    displacement

    E1

    E2

    E0=E1-E2 0

    0Primary voltage

    E1

    E2

    180

    E0=E1-E2

    E1

    E2

    E0=E1-E2

    (a) Absolute magnitude output voltage; (b) phase-referenced output

    voltage as a function of LVDT core position

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    Characteristics:

    1. Due to no moving contact (non-contact) hence very low

    noise level. Resolution is excellent.2. The frequency response is limited mechanically by the

    mass of the core and electrically by the frequency of the

    applied primary voltage (carrier), the frequency of this

    carrier should be at last ten times that of the highestfrequency component to be measured.

    Demerits:

    1. Quite expensive.2. The operation can be severely affected by stray magnetic

    A.C. fields or by the presence of large mass of metal near

    by.

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    Capacitive methods

    The capacitance of a capacitor can be changed by varying

    its area, gap length or dielectric constant.

    15

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    Differential capacitance method

    x

    d

    d

    P1

    P2

    E

    C2E2

    C1E1

    - E E Ex

    dE1 2

    16

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    2.3 Digital methods

    By means of coding (absolute linear encoder)

    Identify the position of a movable test piece by a binary system of

    notation.

    5-digit scale for digital indication of linearposition of a movable object

    5-bit digital output for

    linear displacement

    5 photo sensors

    Relative

    motion

    The resolution depends upon the number of bits comprising the

    binary number.

    The accuracy obviously depends upon the accuracy with which

    the scale is drawn.

    17

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    By pulse counting (incremental linear encoder)

    Light source

    Photo senser

    motion

    Counter

    transparent

    strip

    opaque strip

    Reset signal

    Digital output for linear displacement

    ck

    18

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    All the above mentioned methods are impracticalwhen measuring long displacement (say > 1m) with

    good accuracy (say,

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    A grating measurement system can be though of as a

    development of a well-known mechanical-opticalmodulating transducer.

    Motion

    Photo sensor

    Index grating

    Fixed scale

    gratingLight source

    to counter Photo sensor output:

    20

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    Gratings are available fairly cheaply in widerange of size. The resolution of measurement is

    essentially equal to the spacing between the

    lines. Gratings up to 1000 lines per mm areavailable.

    21

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    3.1 Transducers of Angular displacement

    All the methods used in linear measurement can be

    applied to angular measurement.

    Analog Methods:Resistive, Inductive, and Capacitive

    Digital Methods:

    Absolute angular encoder, Use of maximal length,and Incremental angular encoder

    22

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    4.1 Transducers of velocity

    By electronic differentiator or integrator

    As far as we know the linear displacement, finding of

    velocity can be done by differentiator. If it is an analog

    signal, op-amp differentiator may be used. If it is a digital

    signal, then use numerical methods for the differentiation.

    However, it is more usual to employ an acceleration

    transducer and an integrator, because differentiation

    accentuates the high frequency noise while integrating

    reduces the high frequency noise.

    23

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    Induction method

    If a coil is moving inside a magnetic field is moved to

    cut directly across the lines of flux, then a voltage is

    induced in the coil :

    e =B a n v

    whereB is the flux densitya is area of the coil

    n is number of turn of the coil

    v is relative velocity between the coil and the field

    Therefore e is proportional to v, when other parameters

    are constant. There are mainly two types --- moving coil

    and moving magnet.

    24

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    Soft-iron yoke

    Coil andformer

    S S

    S

    N

    Pole-pieces

    Magnet

    Motion

    NS

    Motion

    Moving coil transducer Moving magnet transducers

    25

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    Doppler effect

    It is most common means of measuring remote moving objects.

    The police radar trap is a well known example of this technique.

    The Doppler effect is a very effective and accurate means of

    measuring velocity. If a narrow radio beam or ultrasonic beam

    is aimed at an object the beam will be reflected back to thesource. However, if the object is moving the frequency of the

    received signal differs from that of the transmitted signal.

    The difference between the two frequencies being a measure of

    the velocity of the moving object. The received frequency will

    be higher than the transmitted frequency if the moving object is

    travelling towards the receiver and lower if the object is

    travelling away.

    26

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    Digital methods

    By counting the number of pulse per unit time from theincremental encoder linear encoder, we can know the

    linear velocity. Its principle is the same as the digital

    method in angular velocity, hence please refer to that

    section for details.

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    4.2 Angular velocity

    Analog method

    Tachometer. There are two main types -

    d.c. tacho and

    a.c. tacho.

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    D.C. Tacho

    N

    S

    Slip rings

    The device is very convenientand widely used in control

    systems where velocity

    feedback is required, but is

    unsatisfactory for precisionmeasurement because of

    unavoidable ripple (due to the

    finite number of poles) and

    because of spikes due to the sliprings. The a.c. tacho is better in

    this respect.

    29

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    A.C. Tacho

    The below shows two a.c. tachometer in which both the

    magnitude of the generated e.m.f. and its frequency areproportional to the angular velocity.

    N

    S

    N S

    Coil

    A.C. tacho with moving magnet

    and stationary coilsA.C. tacho with stationary

    magnet and coils

    Note: The direction of rotation is indicates by the sign of the DC voltage in DC

    tachometer, while AC tachometer does not indicate the direction of rotation.

    30

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    Digital method

    By counting the number of pulses per unit time from a

    digital angular displacement encoder.

    The resolution depends on number of pulse perrevolution of the encoder and the length of the unit

    time base.

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    Thank you