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UNIT -2
Sensors and Transducers
Dr. Shimi S.L
Associate Professor, EE
PEC(Deemed to be University),
Chandigarh
• Sensors and transducers: Introduction,
Performance characteristics of transducers,
Transducer for displacement (Potentiometer,
strain-gauge, Optical encoder, LVDT, Hall effect
sensor); velocity (Tachogenerator), force (load
cell), pressure (Piezoelectric sensors, Tactile
sensor), liquid level (Floats, Differential
pressure), Temperature (Bimetallic strips, RTDs,
Thermistors, Thermocouples) and light sensor
(Photovoltaic- transducer, LDR, Photodiode,
Photo Transistor).
Learning outcomes
• To explain and analyze the fundamental performance
characteristics of transducers.
• Demonstrate a deep understanding of transducers
used for measuring displacement, velocity, force,
pressure, liquid level, temperature and light .
• Conduct laboratory sessions to work with actual
transducers and sensor setups.
• Develop the ability to integrate theoretical
knowledge with practical applications in designing
and implementing sensor systems for various
engineering purposes.
• Encourage collaborative projects where students
design and build sensor systems and presenting clear
justifications for their choice of transducers in specific
engineering applications.
• An intelligent system works sequentially in
closed loop system with measurement,
comparison and decision followed by action.
• Measurement being at the first stage; role of
sensor/transducer is very important as
sensor(s)/transducer(s) is responsible for
collecting information regarding physical
parameter(s) such as pressure, temperature
,voltage ,humidity ,force, distance, etc.
1.Sensors in Mechatronics System
• If sensor is selected properly as per
requirement, data/information will be
more accurate and system is expected to
work properly if other stage components
are good.
• Choice of sensor depends on objective of
the system under development,
application, precision, working
environment, cost, reliability, size, power
consumption.
Measurement System
A sensor in response to a physical quantity
/phenomenon such as force, temperature,
speed, produces a corresponding proportional
change in physical phenomena, such as
electrical, mechanical and magnetic etc. in terms
of resistance, inductance, capacitance, voltage
and current.
2.Difference between Sensors & Transducers
• Transducer: It converts the change in one form of
energy into a change in another form ( electrical)
of energy. ie. converts the output signal of a sensor
into an electrical signal.
Transduction
Sensing or detecting
element and the
transduction elements.
It includes sensors and transductor or transducer
which receives energy from environment /system
parameter or its change to produce an analog signal.
Sensing Mechanism
Mercury thermometer; the mercury
expands easily when the temperature
increases to send a reading format for
the user. There are no electrical signs
or changes. So, it is originally a sensor.
Sensor
•Loud speaker takes electrical energy in the
form of electrical signals and converts it into
sound waves that we can hear.
•The electromechanical system of a speaker
enables this conversion. It comprises several
components, including voice coils, magnets,
diaphragms, and a suspension system.
Transducers
Here’s how it works:
• An input signal (electrical energy) is sent to
the speaker.
• The voice coil interacts with the magnetic field
created by the magnets. As a result,
the speaker cone (diaphragm) moves back
and forth.
• This motion of the cone and suspension
system converts mechanical
energy into acoustic energy—the sound
waves we perceive
Transducers Transducers
Mechatroncis PDF UNIT -2 Sensors & Transducers.pdf
General Classification of Transducers
• Classification based on the Principle
of Transduction
Classified by the transduction medium.
The process of conversion of energy from one
form to another is called transduction.
The transduction medium may be resistive,
inductive or capacitive depends on the
conversion process / converts the input signal
into resistance, inductance and capacitance resp
ectively.
Primary and Secondary Transducers
• Some transducers contain the mechanical as
well as electrical device.
• The mechanical device converts the physical
quantity to be measured into a mechanical
signal.
• Such mechanical device are called as the
primary transducers, because they deal with
the physical quantity to be measured.
• The electrical device then convert this
mechanical signal into a corresponding
electrical signal. Such electrical device are
known as secondary transducers.
Primary transducers are mechanical
devices that detect a physical quantity
and convert it into a measurable signal.
• Bourdon tube
• Diaphragm
• Bellows
• Bimetallic thermometer
• Liquid filled thermometer
Primary and Secondary Transducers
• Ref fig in which the
diaphragm act as primary
transducer.
• It convert pressure (the
quantity to be measured)
into displacement (the
mechanical signal).
• The displacement is then
converted into change in
resistance using strain
gauge.
• Hence strain gauge acts as
the secondary transducer.
Diaphragm
Analog and Digital Transducer
Classified by output signals. It may be
continuous or discrete.
Analog Transducer – The Analog
transducer changes the input quantity into a
continuous function. Eg. strain gauge,
L.V.D.T, thermocouple, thermistor
Digital Transducer – These transducers
convert an input quantity into a digital signal
or in the form of the pulse(high or low
power). Eg. shaft encoders, limit
switches, digital tachometers
• Light Sensor used to Produce a Digital Signal
The speed of the rotating shaft is measured by
using a digital LED/Opto-detector sensor.
• Active transducer – No additional
source for excitation signal is required.
Develops theirs owns voltage or current.
Piezoelectric sensors, photo diode,
thermocouple, dynamos
• Passive transducer - requires the power
from an external supply source - RTDs,
thermistors, photoconductive devices,
PN junction diode, hall effector sensors
opto-electronic devices, strain gauge
Resistance Temperature Detector (RTD)
Performance characteristics of transducers
• Quality parameters of a sensor system
(Selection of sensors)
• Sensitivity: It is the ability of the measuring
instrument to respond to changes in measured
quantity. It is ratio of change of output to unit
change of input parameter. S = ΔO / Δ I
• I - Input, quantity to be sensed
• O - Output, signal which can be recorded
Range : Maximum and
minimum limits of
physical variables under
measurement. Pressure
sensor may have a range
of -400 to +400 mm Hg.
Span : This gives the difference
of a sensor parameter variable
measured from the maximum to
minimum input values of a
sensor. Pressure transmitter
maybe re-scaled to read 4mA at
0.8 bar and 20 mA at 1.2 bar,
span ranging from 0 to 0.4 bar
Mechatroncis PDF UNIT -2 Sensors & Transducers.pdf
Resolution: It is defined
as the smallest
increment in the
measured value that can
be detected.
Error: It is the difference
between measured values
of a physical parameter
and the true value of the
same parameter.
Systematic error, Random
error and Gross error
Systematic error - instrument error
cause due to misuse, loading,
instrumental defect, environmental
error, dust, temperature
Random error – noise (unaware factors)
Gross error - loose connections, human
while reading, recording and estimating
Accuracy: Closeness of the
measured value of a variable to its
true value.
Error in absolute term= Measured
parameter value – true parameter
value
Error in relative term=
Absolute error
True value
Mechatroncis PDF UNIT -2 Sensors & Transducers.pdf
• Precision: Precision is the ability
of an instrument to reproduce a
certain set of readings within a
given deviation.
• Repeatability: It is the ability to
reproduce the output signal
exactly when the same measured
quantity is applied repeatedly
under the same environmental
conditions.
Precision & Accuracy
• Stability (Drift):It is the ability to
give same output when a constant
input is measured over a period of
time.
• Dead band: It is the range of input
values for which there is no output.
Hysteresis: The difference between
two output values that correspond
to the same input depending on the
trajectory followed by the sensor
(i.e., magnetization in
ferromagnetic materials)
]
Hysteresis:
• Hysteresis is defined as the magnitude error
caused in the output for a given value of input,
when this value is approached from opposite
directions ; i.e. from ascending order & then
descending order.
Causes are backlash, elastic deformations,
magnetic characteristics, frictional effects
(mainly).
• Hysteresis can be eliminated by taking readings
in both direction and then taking its arithmetic
mean.
• Backlash: Hysteresis caused by looseness in
a mechanical joint. The maximum distance
or angle through which any part of a
mechanical system can be moved in one
direction without causing any motion of the
attached part.
Static and Dynamic Characteristics of
a Sensor System
• Static characteristics are the values
given when steady state conditions
occur. Input is not varying and
output is constant. Output changes
only due to drift.
• Dynamic characteristics refer to
time varying signal with
corresponding time varying output.
Dynamic Characteristics of a
Sensor System
Response time: This is the time which
elapses after a step input, when the
transducer gives the output
corresponding to 95 percentage of
steady state value.
Time constant: Time taken between
application of input and 63.2 % of steady
state value.
•Rise time: Time taken for the
output to rise to some specified
percentage of the steady state
output. From 10% to 90%.
•Settling time: This is the
time taken for the output to
settle within some percentage
e.g. 2% of steady state value.
Mechatroncis PDF UNIT -2 Sensors & Transducers.pdf
Transducer for displacement
Resistive Transducers: Change in
force/displacement causes change in
resistance.
Potentiometric Transducers types
(i) Linear (ii)Rotary (iii)Helix
Displacement and Position measurement
Change in force causes change in resistance
proportional to strain experienced by object.
Strain Gauge Types:(i)Felt (ii)Helical (iii)Foil types
Strain Gauge
Bonded resistance type
Mechatroncis PDF UNIT -2 Sensors & Transducers.pdf
Stress: Force experienced by an object per unit
Area in order to distribute the internal force to
resist the external force applied uniformly on
the object.
Strain: Amount of deformation ie. Changes in
per unit length of an object under a force.
𝑆𝑡𝑟𝑒𝑠𝑠 = 𝜎 =
𝐹
𝐴
𝑆𝑡𝑟𝑎𝑖𝑛 =∈=
∆𝐿
𝐿
Gauge factor:
𝐺𝐹 =
∆𝑅
𝑅
∆𝐿
𝐿
=
∆𝑅
𝑅
𝑆𝑡𝑟𝑎𝑖𝑛
• Length 0.008 to 4 in
• Resistance 120-5000 ohms
• (30Ω to 3 kΩ unstressed)
Mechatroncis PDF UNIT -2 Sensors & Transducers.pdf
Mechatroncis PDF UNIT -2 Sensors & Transducers.pdf
It requires a Wheatstone bridge arrangement to
convert change in resistance into voltage .
Measurement using Strain Gauge
Inductive Transducers:
Linear Variable Differential Transducer (LVDT) /
Transformer:
Change in force /displacement causes change in
voltage.
Main Parts: (i)Primary coil
(ii) S1&S2 secondary coils
(iii) movable iron core (Annealed NiH2 magnetic
material with high permeability).
Frequency range (1-10kHz)
𝑉
𝑠
𝑉
𝑝
=
𝑁𝑠
𝑁𝑝
D=K
𝑉𝑠1 −𝑉𝑠2
𝑉𝑠1 +𝑉𝑠2
𝑉
𝑠 = 𝑀
𝑑𝑖
𝑑𝑡
𝑉𝑠1 = 𝐾1sin(𝑤𝑡 − ∅)
𝑉𝑠2 = 𝐾2sin(𝑤𝑡 − ∅)
𝑉
𝑠 = 𝑉𝑠1−𝑉𝑠2= (𝐾1−𝐾2) sin 𝑤𝑡 − ∅
Very small linear and angular displacement, quality measurement
Problematic in electromagnetic area
𝑉
𝑠 = 𝑉𝑠1−𝑉𝑠2= −(𝐾1 − 𝐾2) sin 𝑤𝑡 − ∅
𝑉
𝑠 =0
𝑉
𝑠 = 𝑉𝑠1−𝑉𝑠2= (𝐾2−𝐾1) sin 𝑤𝑡 + (𝜋 − ∅
𝑪𝒂𝒔𝒆 𝟏 𝑪𝒆𝒏𝒕𝒓𝒂𝒍
𝑪𝒂𝒔𝒆 𝟐 (𝑳𝒆𝒇𝒕 𝑴𝒐𝒗𝒆𝒎𝒆𝒏𝒕 𝐾1> 𝐾2)
𝑪𝒂𝒔𝒆 𝟑 (𝒓𝒊𝒈𝒉𝒕 𝑴𝒐𝒗𝒆𝒎𝒆𝒏𝒕 𝐾1< 𝐾2) (o/p Out of phase by 180o )
LVDT Characteristics
Mechatroncis PDF UNIT -2 Sensors & Transducers.pdf
It consists of
(i) a current carrying metallic plate
(ii)a magnetic field perpendicular to the
plate (iii) transverse voltage output.
B -> Magnetic flux density
n -> charge carrier density
e ->electron charge 𝑅ℎ-> Hall coefficient
Hall Effect Transducer
𝑉ℎ =
𝐵. 𝐼
𝑑. 𝑛. 𝑒
= 𝑅ℎ
𝐵. 𝐼
𝑑
velocity
Mechatroncis PDF UNIT -2 Sensors & Transducers.pdf
Optical Encoder :
Optical Encoder – Converts
linear/angular position/
displacement into digital output.
Incremental Encoder are used to detect
changes in rotation with respect to a reference
position – measurement of Angular Velocity
Absolute Encoder are used to detect actual
changes position, displacement or angular
position.
Mechatroncis PDF UNIT -2 Sensors & Transducers.pdf
Mechatroncis PDF UNIT -2 Sensors & Transducers.pdf
Contd...
Mechatroncis PDF UNIT -2 Sensors & Transducers.pdf
Mechatroncis PDF UNIT -2 Sensors & Transducers.pdf
Mechatroncis PDF UNIT -2 Sensors & Transducers.pdf
Digital Absolute Encoder
Mechatroncis PDF UNIT -2 Sensors & Transducers.pdf
Mechatroncis PDF UNIT -2 Sensors & Transducers.pdf
How many bit resolution encoder is
required for measuring 0.03 degree in
an absolute encoder?
Transducer for Velocity Measurement
Tachogenerator
• Tachogenerator is used to measure angular velocity
Variable reluctance tachogenerator
• Toothed wheel of ferro
magnetic material
• Pickup coil wound on
permanent magnet
• Air gap between coil and
ferro magnetic material
changes
∅ = ∅0 + ∅𝑎 cos 𝑛𝑤𝑡
𝑒 = −𝑁
𝑑∅
𝑑𝑡
= −𝑁
𝑑
𝑑𝑡
(∅0+∅𝑎 cos 𝑛𝑤𝑡) = 𝑁∅𝑎 𝑛𝑤sin 𝑛𝑤𝑡
e = 𝐸𝑚𝑎𝑥 sin 𝑛𝑤𝑡 𝑊ℎ𝑒𝑟𝑒 𝐸𝑚𝑎𝑥 𝑖𝑠 𝑁∅𝑎 𝑛𝑤
Variable reluctance tachogenerator
DC tachogenerator
AC tachogenerator
Rotating conductor
cuts the magnetic field
it induces a voltage
proportional to the
shaft speed of motor
• Contact Type Tachometer
• Non Contact Type Tachometer
Laser beam is pointed on a
reflective spot of an rotating shaft
• DC type Tachometer
• AC type Tachometer
• Electronic speedometer
Transistorized gauge to output a electrical
signal through magnetic dial or a LED display
Transducer for Force Measurement
load cell –
The stress is applied
along the direction of S
(shown by the arrow),
the steel bar (active
element) experiences a
compression along that
axis and an expansion
along the X and Y axes.
As a result, gauge A
experiences a decrease
in resistance, while
gauge B undergoes an
increase in resistance.
Used to measure weight of heavy loads like trucks.
Converts Force or Load into electrical signal
When these two gauges and the gauges on the two
remaining sides of the steel are connected to form a
bridge circuit, four times the sensitivity of a
simple gauge bridge is obtained. This makes
the load cell sensitive to very small values of applied
stress, as well as to extremely heavy loads.
Transducer for Pressure
Measurement
Measure Force,
Acceleration
and mechanical
deformation
Piezoelectric Crystal Application
Piezoelectric elements are also
used in the detection and
generation of sonar waves.
Piezoelectric Crystal
Force that stretches or compresses
act on it, an electrical charge is
produced on one of its surface and an
opposite charge is also induced on it.
Piezoelectric
materials
Quartz, Barium
Titanate, Rochelle
salt
Advantages
• Self generating no external
power required
• High variable impedance 10kΩ
for 100 kHz
• High frequency Measurement
• Output voltage α force applied
Capacitive Transducers:
(i) Parallel separated metallic plate
(ii) Dielectric filling
𝐶 =
ε0 x εr x A
𝑑
Where,
ε0 represents the permittivity of
free space
εr represents the relative
permittivity or dielectric constant
d represents the distance of the
parallel plates and A represents
the area of the plates.
Capacitive Tactile Sensor
A piezoelectric material Quartz
or Polyvinylidene fluoride (PVDF)
ionic in nature is used.
PVDF offer good
mechanical
strength for
thickness of
5µm to 2mm
Capacitive Touch Sensor
Light Sensor / Optical
Transducers
A photovoltaic transducer
converts light energy into
electricity directly at the atomic
level. Materials that exhibit this
property are known as
photoelectric materials, and the
effect is called photoelectric effect.
Mechatroncis PDF UNIT -2 Sensors & Transducers.pdf
Mechatroncis PDF UNIT -2 Sensors & Transducers.pdf
The resistance of the photo
resistive material decreases
with increase in light intensity
like potentiometric transducer.
Photo Resistive Transducer
Light Dependent Resistors
(LDR)
Application
•Control of Street Light,
camera light, security alarm,
heater, outdoor clocks,
picture scanning, etc.
•ORP12
Photodiode
The incident light energy excites
hole –electron pair of the photo
diode allows to flow current in
reverse biased mode .
Mechatroncis PDF UNIT -2 Sensors & Transducers.pdf
𝐼𝐿 =Load current output photocurrent
𝐼𝑠= reverse saturation current produced by
electron-hole pair,
𝑣𝑑= Diode applied voltage
𝑘𝑏=Boltzman constant
T=Absolute temperature
h=Planks constant
𝑞𝑒=charge of electron
P= Incident optical beam power
𝐼𝐿 = 𝐼𝑠 exp
𝑞𝑒𝑣𝑑
𝑘𝑏𝑇
− 1 −
𝑛𝑞𝑒𝑃
ℎ𝑓
Photo Transistor
It consists of a light-sensitive CB
junction, when base is exposed to
light energy , base current flows
proportional to light intensity.
Application
• Opto-isolator or Opto-couplers
• Optical Switches
• Retro sensors
Computer components – Floppy disc,
printer margin control
Industries – security system, light pen,
encoders for speed measurements
Consumers – audio-video games,
remote controlled toys, etc.
Transducer for Temperature
Measurement
Change in temperature causes
shape change in Bimetallic strip
type transducer and change in
potential difference in the
thermocouple type .
Bimetallic Strip – Thermal expansion
Thermocouple – Seebeck effect
𝑙 = 𝑙𝑜(1+ α∆T), α is linear thermal expansion coefficient
Bimetallic Strip Sensor
Bimetallic Strip Sensor
• Consists of two strips of different
metals with different temperature
expansion coefficients
• Usually made with steel
(coefficient of thermal expansion -
12 x 10-6 K-1) and copper ( 16.6 x
10-6 K-1) (or brass 18.7 x 10-6 K-1)
joined together (often welded)
throughout the length
Mechatroncis PDF UNIT -2 Sensors & Transducers.pdf
• Temperature Measurement
• Seebeck effect
Change in temperature α induced
emf linearly
𝑒𝑚𝑓 = 𝛼 (𝑇2 − 𝑇1)
Where,
𝛼 constant V/K
𝑇 , 𝑇 are junction temperature
Thermocouples
𝑒𝑚𝑓 = 𝐴𝑇 +
1
2
𝐵𝑇2
+
1
2
𝐶𝑇3
𝑒𝑚𝑓𝑎𝑣 =
𝐸1+𝐸2+𝐸3+𝐸4
4
=
𝐸𝑇
𝑛
RTDs
Resistance of metals increases
with temperature.
Resistive element as coil.
Response time 0.5 to 5s or more.
𝑅𝑡= 𝑅0(1+ α t)
• Mixture of metal oxides
Chromium, cobalt, iron,
manganese and nickel –
oxides are semiconductors
• Resistance decreases in a
non-linear manner with
increases in temperature.
• Rugged, small and point
detection
• Large change in R / degree
change in temperature
Thermistors
PTC
thermistors
are used as
self-resetting
overcurrent
protectors
and self-
regulating
heating
elements.
NTC
thermistors
are widely
used as
inrush-
current
limiters and
temperature
sensors
Transducer for liquid level
Measurement
Liquid Level Measurement Floats
• Direct Method – Floats
• Indirect Method – Measuring the weight (load cell)
Leaver arm
Float
Slider
• Leaver cause LVDT to displace / stretch or
compress strain gauge
𝐴ℎ𝜌𝑔
(a) Pressure difference between
liquid at the base of vessel
and atmospheric pressure
(open vessel)
(b) Differential pressure cell
Pressure difference between
liquid at the base of vessel
and the air/gas above the
surface of liquid
Liquid Level Measurement
Differential pressure
Selection of Sensors
• Linearity – i/p – o/p linear
• Sensitivity – high change in o/p
• Wide Range – o/p is linear over
wide range
• Accuracy – no change with age
• Physical Size – small size
• Cost - low cost
• Reliability – without failure
THANKS

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Mechatroncis PDF UNIT -2 Sensors & Transducers.pdf

  • 1. UNIT -2 Sensors and Transducers Dr. Shimi S.L Associate Professor, EE PEC(Deemed to be University), Chandigarh
  • 2. • Sensors and transducers: Introduction, Performance characteristics of transducers, Transducer for displacement (Potentiometer, strain-gauge, Optical encoder, LVDT, Hall effect sensor); velocity (Tachogenerator), force (load cell), pressure (Piezoelectric sensors, Tactile sensor), liquid level (Floats, Differential pressure), Temperature (Bimetallic strips, RTDs, Thermistors, Thermocouples) and light sensor (Photovoltaic- transducer, LDR, Photodiode, Photo Transistor).
  • 3. Learning outcomes • To explain and analyze the fundamental performance characteristics of transducers. • Demonstrate a deep understanding of transducers used for measuring displacement, velocity, force, pressure, liquid level, temperature and light . • Conduct laboratory sessions to work with actual transducers and sensor setups. • Develop the ability to integrate theoretical knowledge with practical applications in designing and implementing sensor systems for various engineering purposes. • Encourage collaborative projects where students design and build sensor systems and presenting clear justifications for their choice of transducers in specific engineering applications.
  • 4. • An intelligent system works sequentially in closed loop system with measurement, comparison and decision followed by action. • Measurement being at the first stage; role of sensor/transducer is very important as sensor(s)/transducer(s) is responsible for collecting information regarding physical parameter(s) such as pressure, temperature ,voltage ,humidity ,force, distance, etc. 1.Sensors in Mechatronics System
  • 5. • If sensor is selected properly as per requirement, data/information will be more accurate and system is expected to work properly if other stage components are good. • Choice of sensor depends on objective of the system under development, application, precision, working environment, cost, reliability, size, power consumption.
  • 7. A sensor in response to a physical quantity /phenomenon such as force, temperature, speed, produces a corresponding proportional change in physical phenomena, such as electrical, mechanical and magnetic etc. in terms of resistance, inductance, capacitance, voltage and current. 2.Difference between Sensors & Transducers
  • 8. • Transducer: It converts the change in one form of energy into a change in another form ( electrical) of energy. ie. converts the output signal of a sensor into an electrical signal. Transduction Sensing or detecting element and the transduction elements.
  • 9. It includes sensors and transductor or transducer which receives energy from environment /system parameter or its change to produce an analog signal. Sensing Mechanism
  • 10. Mercury thermometer; the mercury expands easily when the temperature increases to send a reading format for the user. There are no electrical signs or changes. So, it is originally a sensor. Sensor
  • 11. •Loud speaker takes electrical energy in the form of electrical signals and converts it into sound waves that we can hear. •The electromechanical system of a speaker enables this conversion. It comprises several components, including voice coils, magnets, diaphragms, and a suspension system. Transducers
  • 12. Here’s how it works: • An input signal (electrical energy) is sent to the speaker. • The voice coil interacts with the magnetic field created by the magnets. As a result, the speaker cone (diaphragm) moves back and forth. • This motion of the cone and suspension system converts mechanical energy into acoustic energy—the sound waves we perceive Transducers Transducers
  • 15. • Classification based on the Principle of Transduction Classified by the transduction medium. The process of conversion of energy from one form to another is called transduction. The transduction medium may be resistive, inductive or capacitive depends on the conversion process / converts the input signal into resistance, inductance and capacitance resp ectively.
  • 16. Primary and Secondary Transducers • Some transducers contain the mechanical as well as electrical device. • The mechanical device converts the physical quantity to be measured into a mechanical signal. • Such mechanical device are called as the primary transducers, because they deal with the physical quantity to be measured. • The electrical device then convert this mechanical signal into a corresponding electrical signal. Such electrical device are known as secondary transducers.
  • 17. Primary transducers are mechanical devices that detect a physical quantity and convert it into a measurable signal. • Bourdon tube • Diaphragm • Bellows • Bimetallic thermometer • Liquid filled thermometer
  • 18. Primary and Secondary Transducers • Ref fig in which the diaphragm act as primary transducer. • It convert pressure (the quantity to be measured) into displacement (the mechanical signal). • The displacement is then converted into change in resistance using strain gauge. • Hence strain gauge acts as the secondary transducer. Diaphragm
  • 19. Analog and Digital Transducer Classified by output signals. It may be continuous or discrete. Analog Transducer – The Analog transducer changes the input quantity into a continuous function. Eg. strain gauge, L.V.D.T, thermocouple, thermistor Digital Transducer – These transducers convert an input quantity into a digital signal or in the form of the pulse(high or low power). Eg. shaft encoders, limit switches, digital tachometers
  • 20. • Light Sensor used to Produce a Digital Signal The speed of the rotating shaft is measured by using a digital LED/Opto-detector sensor.
  • 21. • Active transducer – No additional source for excitation signal is required. Develops theirs owns voltage or current. Piezoelectric sensors, photo diode, thermocouple, dynamos • Passive transducer - requires the power from an external supply source - RTDs, thermistors, photoconductive devices, PN junction diode, hall effector sensors opto-electronic devices, strain gauge
  • 23. Performance characteristics of transducers • Quality parameters of a sensor system (Selection of sensors) • Sensitivity: It is the ability of the measuring instrument to respond to changes in measured quantity. It is ratio of change of output to unit change of input parameter. S = ΔO / Δ I • I - Input, quantity to be sensed • O - Output, signal which can be recorded
  • 24. Range : Maximum and minimum limits of physical variables under measurement. Pressure sensor may have a range of -400 to +400 mm Hg.
  • 25. Span : This gives the difference of a sensor parameter variable measured from the maximum to minimum input values of a sensor. Pressure transmitter maybe re-scaled to read 4mA at 0.8 bar and 20 mA at 1.2 bar, span ranging from 0 to 0.4 bar
  • 27. Resolution: It is defined as the smallest increment in the measured value that can be detected.
  • 28. Error: It is the difference between measured values of a physical parameter and the true value of the same parameter. Systematic error, Random error and Gross error
  • 29. Systematic error - instrument error cause due to misuse, loading, instrumental defect, environmental error, dust, temperature Random error – noise (unaware factors) Gross error - loose connections, human while reading, recording and estimating
  • 30. Accuracy: Closeness of the measured value of a variable to its true value. Error in absolute term= Measured parameter value – true parameter value Error in relative term= Absolute error True value
  • 32. • Precision: Precision is the ability of an instrument to reproduce a certain set of readings within a given deviation. • Repeatability: It is the ability to reproduce the output signal exactly when the same measured quantity is applied repeatedly under the same environmental conditions.
  • 34. • Stability (Drift):It is the ability to give same output when a constant input is measured over a period of time. • Dead band: It is the range of input values for which there is no output.
  • 35. Hysteresis: The difference between two output values that correspond to the same input depending on the trajectory followed by the sensor (i.e., magnetization in ferromagnetic materials)
  • 36. ]
  • 37. Hysteresis: • Hysteresis is defined as the magnitude error caused in the output for a given value of input, when this value is approached from opposite directions ; i.e. from ascending order & then descending order. Causes are backlash, elastic deformations, magnetic characteristics, frictional effects (mainly). • Hysteresis can be eliminated by taking readings in both direction and then taking its arithmetic mean.
  • 38. • Backlash: Hysteresis caused by looseness in a mechanical joint. The maximum distance or angle through which any part of a mechanical system can be moved in one direction without causing any motion of the attached part.
  • 39. Static and Dynamic Characteristics of a Sensor System • Static characteristics are the values given when steady state conditions occur. Input is not varying and output is constant. Output changes only due to drift. • Dynamic characteristics refer to time varying signal with corresponding time varying output.
  • 40. Dynamic Characteristics of a Sensor System
  • 41. Response time: This is the time which elapses after a step input, when the transducer gives the output corresponding to 95 percentage of steady state value. Time constant: Time taken between application of input and 63.2 % of steady state value.
  • 42. •Rise time: Time taken for the output to rise to some specified percentage of the steady state output. From 10% to 90%. •Settling time: This is the time taken for the output to settle within some percentage e.g. 2% of steady state value.
  • 45. Resistive Transducers: Change in force/displacement causes change in resistance. Potentiometric Transducers types (i) Linear (ii)Rotary (iii)Helix
  • 47. Change in force causes change in resistance proportional to strain experienced by object. Strain Gauge Types:(i)Felt (ii)Helical (iii)Foil types Strain Gauge Bonded resistance type
  • 49. Stress: Force experienced by an object per unit Area in order to distribute the internal force to resist the external force applied uniformly on the object. Strain: Amount of deformation ie. Changes in per unit length of an object under a force. 𝑆𝑡𝑟𝑒𝑠𝑠 = 𝜎 = 𝐹 𝐴 𝑆𝑡𝑟𝑎𝑖𝑛 =∈= ∆𝐿 𝐿 Gauge factor: 𝐺𝐹 = ∆𝑅 𝑅 ∆𝐿 𝐿 = ∆𝑅 𝑅 𝑆𝑡𝑟𝑎𝑖𝑛
  • 50. • Length 0.008 to 4 in • Resistance 120-5000 ohms • (30Ω to 3 kΩ unstressed)
  • 53. It requires a Wheatstone bridge arrangement to convert change in resistance into voltage . Measurement using Strain Gauge
  • 54. Inductive Transducers: Linear Variable Differential Transducer (LVDT) / Transformer: Change in force /displacement causes change in voltage. Main Parts: (i)Primary coil (ii) S1&S2 secondary coils (iii) movable iron core (Annealed NiH2 magnetic material with high permeability). Frequency range (1-10kHz)
  • 56. 𝑉 𝑠 = 𝑀 𝑑𝑖 𝑑𝑡 𝑉𝑠1 = 𝐾1sin(𝑤𝑡 − ∅) 𝑉𝑠2 = 𝐾2sin(𝑤𝑡 − ∅) 𝑉 𝑠 = 𝑉𝑠1−𝑉𝑠2= (𝐾1−𝐾2) sin 𝑤𝑡 − ∅ Very small linear and angular displacement, quality measurement Problematic in electromagnetic area 𝑉 𝑠 = 𝑉𝑠1−𝑉𝑠2= −(𝐾1 − 𝐾2) sin 𝑤𝑡 − ∅ 𝑉 𝑠 =0 𝑉 𝑠 = 𝑉𝑠1−𝑉𝑠2= (𝐾2−𝐾1) sin 𝑤𝑡 + (𝜋 − ∅ 𝑪𝒂𝒔𝒆 𝟏 𝑪𝒆𝒏𝒕𝒓𝒂𝒍 𝑪𝒂𝒔𝒆 𝟐 (𝑳𝒆𝒇𝒕 𝑴𝒐𝒗𝒆𝒎𝒆𝒏𝒕 𝐾1> 𝐾2) 𝑪𝒂𝒔𝒆 𝟑 (𝒓𝒊𝒈𝒉𝒕 𝑴𝒐𝒗𝒆𝒎𝒆𝒏𝒕 𝐾1< 𝐾2) (o/p Out of phase by 180o )
  • 59. It consists of (i) a current carrying metallic plate (ii)a magnetic field perpendicular to the plate (iii) transverse voltage output. B -> Magnetic flux density n -> charge carrier density e ->electron charge 𝑅ℎ-> Hall coefficient Hall Effect Transducer 𝑉ℎ = 𝐵. 𝐼 𝑑. 𝑛. 𝑒 = 𝑅ℎ 𝐵. 𝐼 𝑑
  • 62. Optical Encoder : Optical Encoder – Converts linear/angular position/ displacement into digital output.
  • 63. Incremental Encoder are used to detect changes in rotation with respect to a reference position – measurement of Angular Velocity Absolute Encoder are used to detect actual changes position, displacement or angular position.
  • 73. How many bit resolution encoder is required for measuring 0.03 degree in an absolute encoder?
  • 74. Transducer for Velocity Measurement
  • 75. Tachogenerator • Tachogenerator is used to measure angular velocity Variable reluctance tachogenerator • Toothed wheel of ferro magnetic material • Pickup coil wound on permanent magnet • Air gap between coil and ferro magnetic material changes ∅ = ∅0 + ∅𝑎 cos 𝑛𝑤𝑡 𝑒 = −𝑁 𝑑∅ 𝑑𝑡 = −𝑁 𝑑 𝑑𝑡 (∅0+∅𝑎 cos 𝑛𝑤𝑡) = 𝑁∅𝑎 𝑛𝑤sin 𝑛𝑤𝑡 e = 𝐸𝑚𝑎𝑥 sin 𝑛𝑤𝑡 𝑊ℎ𝑒𝑟𝑒 𝐸𝑚𝑎𝑥 𝑖𝑠 𝑁∅𝑎 𝑛𝑤
  • 76. Variable reluctance tachogenerator DC tachogenerator AC tachogenerator Rotating conductor cuts the magnetic field it induces a voltage proportional to the shaft speed of motor
  • 77. • Contact Type Tachometer • Non Contact Type Tachometer Laser beam is pointed on a reflective spot of an rotating shaft • DC type Tachometer • AC type Tachometer • Electronic speedometer Transistorized gauge to output a electrical signal through magnetic dial or a LED display
  • 78. Transducer for Force Measurement
  • 79. load cell – The stress is applied along the direction of S (shown by the arrow), the steel bar (active element) experiences a compression along that axis and an expansion along the X and Y axes. As a result, gauge A experiences a decrease in resistance, while gauge B undergoes an increase in resistance. Used to measure weight of heavy loads like trucks. Converts Force or Load into electrical signal
  • 80. When these two gauges and the gauges on the two remaining sides of the steel are connected to form a bridge circuit, four times the sensitivity of a simple gauge bridge is obtained. This makes the load cell sensitive to very small values of applied stress, as well as to extremely heavy loads.
  • 82. Measure Force, Acceleration and mechanical deformation Piezoelectric Crystal Application Piezoelectric elements are also used in the detection and generation of sonar waves.
  • 83. Piezoelectric Crystal Force that stretches or compresses act on it, an electrical charge is produced on one of its surface and an opposite charge is also induced on it. Piezoelectric materials Quartz, Barium Titanate, Rochelle salt
  • 84. Advantages • Self generating no external power required • High variable impedance 10kΩ for 100 kHz • High frequency Measurement • Output voltage α force applied
  • 85. Capacitive Transducers: (i) Parallel separated metallic plate (ii) Dielectric filling 𝐶 = ε0 x εr x A 𝑑 Where, ε0 represents the permittivity of free space εr represents the relative permittivity or dielectric constant d represents the distance of the parallel plates and A represents the area of the plates.
  • 86. Capacitive Tactile Sensor A piezoelectric material Quartz or Polyvinylidene fluoride (PVDF) ionic in nature is used. PVDF offer good mechanical strength for thickness of 5µm to 2mm
  • 88. Light Sensor / Optical Transducers
  • 89. A photovoltaic transducer converts light energy into electricity directly at the atomic level. Materials that exhibit this property are known as photoelectric materials, and the effect is called photoelectric effect.
  • 92. The resistance of the photo resistive material decreases with increase in light intensity like potentiometric transducer. Photo Resistive Transducer Light Dependent Resistors (LDR)
  • 93. Application •Control of Street Light, camera light, security alarm, heater, outdoor clocks, picture scanning, etc. •ORP12
  • 94. Photodiode The incident light energy excites hole –electron pair of the photo diode allows to flow current in reverse biased mode .
  • 96. 𝐼𝐿 =Load current output photocurrent 𝐼𝑠= reverse saturation current produced by electron-hole pair, 𝑣𝑑= Diode applied voltage 𝑘𝑏=Boltzman constant T=Absolute temperature h=Planks constant 𝑞𝑒=charge of electron P= Incident optical beam power 𝐼𝐿 = 𝐼𝑠 exp 𝑞𝑒𝑣𝑑 𝑘𝑏𝑇 − 1 − 𝑛𝑞𝑒𝑃 ℎ𝑓
  • 97. Photo Transistor It consists of a light-sensitive CB junction, when base is exposed to light energy , base current flows proportional to light intensity.
  • 98. Application • Opto-isolator or Opto-couplers • Optical Switches • Retro sensors Computer components – Floppy disc, printer margin control Industries – security system, light pen, encoders for speed measurements Consumers – audio-video games, remote controlled toys, etc.
  • 100. Change in temperature causes shape change in Bimetallic strip type transducer and change in potential difference in the thermocouple type . Bimetallic Strip – Thermal expansion Thermocouple – Seebeck effect
  • 101. 𝑙 = 𝑙𝑜(1+ α∆T), α is linear thermal expansion coefficient Bimetallic Strip Sensor Bimetallic Strip Sensor
  • 102. • Consists of two strips of different metals with different temperature expansion coefficients • Usually made with steel (coefficient of thermal expansion - 12 x 10-6 K-1) and copper ( 16.6 x 10-6 K-1) (or brass 18.7 x 10-6 K-1) joined together (often welded) throughout the length
  • 104. • Temperature Measurement • Seebeck effect Change in temperature α induced emf linearly 𝑒𝑚𝑓 = 𝛼 (𝑇2 − 𝑇1) Where, 𝛼 constant V/K 𝑇 , 𝑇 are junction temperature Thermocouples
  • 105. 𝑒𝑚𝑓 = 𝐴𝑇 + 1 2 𝐵𝑇2 + 1 2 𝐶𝑇3 𝑒𝑚𝑓𝑎𝑣 = 𝐸1+𝐸2+𝐸3+𝐸4 4 = 𝐸𝑇 𝑛
  • 106. RTDs Resistance of metals increases with temperature. Resistive element as coil. Response time 0.5 to 5s or more. 𝑅𝑡= 𝑅0(1+ α t)
  • 107. • Mixture of metal oxides Chromium, cobalt, iron, manganese and nickel – oxides are semiconductors • Resistance decreases in a non-linear manner with increases in temperature. • Rugged, small and point detection • Large change in R / degree change in temperature Thermistors
  • 108. PTC thermistors are used as self-resetting overcurrent protectors and self- regulating heating elements. NTC thermistors are widely used as inrush- current limiters and temperature sensors
  • 109. Transducer for liquid level Measurement
  • 110. Liquid Level Measurement Floats • Direct Method – Floats • Indirect Method – Measuring the weight (load cell) Leaver arm Float Slider • Leaver cause LVDT to displace / stretch or compress strain gauge 𝐴ℎ𝜌𝑔
  • 111. (a) Pressure difference between liquid at the base of vessel and atmospheric pressure (open vessel) (b) Differential pressure cell Pressure difference between liquid at the base of vessel and the air/gas above the surface of liquid Liquid Level Measurement Differential pressure
  • 112. Selection of Sensors • Linearity – i/p – o/p linear • Sensitivity – high change in o/p • Wide Range – o/p is linear over wide range • Accuracy – no change with age • Physical Size – small size • Cost - low cost • Reliability – without failure
  • 113. THANKS