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PRESSURE
MEASUREMENT
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nstrument
A device for measuring the magnitude of a physicalvariable.
All sensing is using physical measurement of
phenomena. Sensor developments have been greatly influencedby the progress in solid state electronics.
Solid state electronics and chip technology have
assisted in miniaturization of various sensors.
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For example, gas chromatography column isavailable on a small silicon wafer.
Human udgment is always the hardest thing to
duplicate in any machine. However, advantages of inline sensors includereal!time analysis and process control, improvedproduct uniformity and "uality, and conversion ofbatch operations to semi!continuous or fully
continuous processes.
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Terminology
Span: the range of measured variable that a sensorcan measure.
Least-count: the smallest difference of measuredvariable that can be detected by a sensor.
Readability: the closeness with which the scale of asensor can be read in analog output.
A sensor with a #$!cm scale would have a higherreadability than a sensor with a %&!cm scale and the
same span. %n digital output, readability will be therelative size of the letters.
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Terminology
Sensitivity: the change in output of the
sensor with the unit change in input
variable to be measured' e.g., if a %!m(recorder has a &!cm scale length, its
sensitivity would be & cm) m(.
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Sensor Accuracy
Accuracy: the deviation of the output of a sensorfrom a *nown measured input. Accuracy is usuallyexpressed as a percentage of full scale reading
e.g., a +$$!*a pressure transducer having anaccuracy of + - would be accurate within+ *aover the entire range.
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Sensor Accuracy
Measured variable: absolute
measured value
Percentage of full-scale(FS) reading
Percentage of instrument span
Percentage of actual reading
Precision: the ability of a sensor to reproduce acertain output with a given accuracy.
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Sensor Accuracy
/he difference between precision and accuracy
0onsider the measurement of a *nowntemperature of +$$10 with a certain transducer.
Five observations are recorded, and the indicatedvalues are +$#, +$&, +$#, +$&, and +$#10. /hesevalues show that the accuracy of the transducer is&- 2&103,
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Contd
and its precision is 4+-, since the maximumdeviation from the average reading +$510 isonly +10.
/he transducer can be calibrated and thencan measure temperature within 4 +10. /husaccuracy can be improved by calibration up
to, but not beyond, the precision of thetransducer
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Contd
Threshold: %f the input of a sensor is very graduallyincreased from zero, there will be some minimumvalue below which no output can be detected.
/his minimum value is the threshold of the sensor.
Resolution: the input increment that gives somesmall but definite numerical change in the sensoroutput.
/hus resolution is the smallest measurable change,
while threshold is the smallest measurable input.
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Contd
Hysteresis:A sensor exhibits hysteresis when thereis a difference in readings depending on whetherthe values of the measured variable are
approached from above or below. Linearity: the maximum deviation of any calibration
point from the linear relationship. /his may beexpressed as a percent of the actual reading or as
a percent of the full scale reading.
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Contd
Error: a deviation of the measured value from thetrue value. 6rrors are divided into three broadclasses!gross, systemic, and random.
/he gross errors arc mostly human errors such asincorrect reading, adustment, and application ofinstruments.
7oading effects, due to improper circuitimpedance, also give this type of error.
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Contd
Systemic errors are related to the functioning of the
instruments and their mechanical or electrical
structure and calibration errors, and to the effect of
environment on the e"uipment performance. /hese errors related to the instrument can be
avoided or reduced by proper calibration of the
instrument, and by selecting a suitable instrument
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Contd
6nvironmental errors are reduced by using theinstrument at the recommended conditions oftemperature, relative humidity, pressure, etc.
8andom errors are due to un*nown causes. /heycan be reduced by proper design of the instrument,and by ta*ing more readings and using statisticalmethods to correct the observations.
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Pressure
9efinition Force per unit area
Absolute pressure
Atmospheric pressure
9ifferential pressure
:auge pressure
Head pressure
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Pressure Definition
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Standard pressure
ressure of one normal 2standard3
atmosphere
; +$+#
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Sensor Properties
8epeatability refers to the ability ofa pressure sensor to provide the
same output with successive applications of the same pressure.
Hysteresis is a sensorCs ability togive the same output at a given te
mperature before and after a temperature cycle.
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Pressure Sensor
/he basic pressure sensingelement
A 0!shaped Dourdon tube
D a helical Dourdon tube
0 flat diaphragm
9 convoluted diaphragm
6 capsule
F a set of bellows
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Bourdon tube
A sealed tube that deflects in response to applied
pressure.
rovide a fairly large displacement 2except
diaphragms3
Eseful in mechanical gauges and for electrical
sensors that re"uire a significant movement.
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Potentiometric Pressure
Sensors
Ese a Dourdon tube, capsule, or
bellows to drive a wiper arm on
a resistive element.
%nexpensive, but subect to
repeatability and hysteresis error
s
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Inductive Pressure Sensors
7inear (ariable
9ifferential /ransformer p
ressure sensor drives a
moving core that varies th
e inductive coupling betw
een the transformer prim
ary and secondary
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Capacitive Pressure Sensors/ypically use a thin diaphragmas one plate of a capacitor.
Applied pressure causes the diaphragm to deflect and the ca
pacitance to change./he change in capacitancemay be used to control the fre"uency of an oscillator or to va
ry the coupling of an A0 signalthrough a networ*.
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Piezoelectric Pressure
Sensors
Di!directional transducerscapable of converting stress intoan electric potential and vice versa.
0onsist of metallized "uartz orceramic materials.
9ynamic effect, providing anoutput only when the input is cha
nging
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Strained Gauge Sensors
Esed a metal diaphragmwith strain gauges bonded to
it.
A strain gauge measures the
strain in a material subected to
applied stress
Signal due to deformation of
the material is small, on the or
der of $.+- of the base resista
nce.
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Semiconductor strain
gauges
idely used, both bonded and integrated into a
silicon diaphragm, because larger 2one order of
magnitude3 response than metallic strain gauge
.
iezoresistive effect 0hange of resistance,
when the crystal lattice structure of silicon is def
ormed by applied stress.
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A silicon bar can be bonded toa diaphragm to yield a strain gauge sensor with a relatively high output.
%0 processing is used to form thepiezoresistors on the surface of a siliconwafer to fabricate an integrated piezores
istive pressure sensor
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Manometer
A simple pressure standard
Gay be used for gauge, differential, and
absolute measurements with a suitable refer
ence.
Eseful mainly for lower pressure wor*because the height of the column of mercury
will otherwise become unwieldy.
/he difference in column heights gives the
pressure reading
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TA!" #$%