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    MetrologyA scientific paper reports informationregarding an experimental or theoreticalwork.

    Experimental works involve measurements.

    Theoretical works include parametersobtained experimentally, and most often,

    they are validated through experimentalwork.

    Hence, measurements are essential for ascientific work, which is essential in ascientific paper.

    General procedure for

    the scientific method

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    MetrologyMetrology: field of knowledge concerned withmeasurement.

    Measurement: Process of experimentally obtainingone or more quantities that can reasonably beattributed to another quantity.

    Measurement implies comparison of quantities or countingof entities.

    Measurement presupposes description of the quantitycommensurate with the intended use of the measurementresult.

    Measurement presupposes a measurement procedure.

    Measurement presupposes a calibrated measuring systemoperating according to a specified measurement procedure.

    Metrology

    A measurement includes:

    A numeric value.

    An unit associated to the numeric value.

    An uncertainty associated to the numeric value.

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    We use sensors to measureSensor: A device which provides a usable output in response toa specified measurand

    A sensor acquires a physical quantity and converts it into asignal suitable for processing (e.g. optical, electrical,mechanical)

    Common sensors convert measurement of physical phenomenainto an electrical signal

    Active element of a sensor is called transducer

    The TransducerA device that converts one form of energy to another

    When input is a physical quantity and output electrical Sensor

    When input is electrical and output a physical quantity Actuator

    ActuatorsSensors

    Physical

    parameter

    Electrical

    Output

    Electrical

    Input

    Physical

    Output

    e.g. Piezoelectric:

    Force -> voltage

    Voltage-> Force

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    Commonly Measured Quantities

    Temperature, Flux, Specific Heat, Thermal ConductivityThermal

    Position, Velocity, Acceleration, Force, Strain, Stress,Pressure, Torque

    Mechanical

    Refractive Index, Reflectivity, AbsorptionOptical

    Magnetic Field (amplitude, phase, polarization), Flux,Permeability

    Magnetic

    Charge, Voltage, Current, Electric Field (amplitude, phase,polarization), Conductivity, Permittivity

    Electric

    Fluid Concentrations (Gas or Liquid)Biological & Chemical

    Wave (amplitude, phase, polarization), Spectrum, WaveVelocity

    Acoustic

    QuantityStimulus

    Spatial Variables Measurement

    Displacement Measurement, Linear and Angular

    Thickness Measurement

    Distance

    Position, Location, Altitude Measurement

    Level Measurement

    Area Measurement

    Volume Measurement

    Angle Measurement

    Tilt Measurement

    Velocity and Acceleration Measurement

    Vibration and Shock Measurement

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    Time and Frequency Measurement

    Time Measurement

    Frequency Measurement

    Mechanical Variables Measurement (Solid)

    Mass and Weight Measurement

    Density measurement

    Strain Measurement

    Force Measurement

    Torque Measurement

    Mechanical Variables Measurement (Fluid)

    Pressure and Sound Measurement

    Flow Measurement

    Point Velocity Measurement

    Viscosity MeasurementSurface Tension Measurement

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    Thermal Variables Measurement

    Temperature Measurement

    Thermal Conductivity Measurement

    Heat Flux

    Calorimetry Measurement

    Electromagnetic Variables Measurement

    Voltage Measurement

    Current Measurement

    Power Measurement

    Power Factor MeasurementPhase Measurement

    Energy Measurement

    Electrical Conductivity and Resistivity

    Charge Measurement

    Capacitance and Capacitance Measurements

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    Electromagnetic Variables MeasurementPermittivity Measurement

    Electric Field Strength

    Magnetic Field Measurement

    Permeability and Hysteresis Measurement

    Inductance Measurement

    Immittance Measurement

    Q Factor Measurement

    Distortion Measurement

    Noise Measurement

    Microwave Measurement

    Optical Variables Measurement

    Photometry and Radiometry

    Densitometry Measurement

    Colorimetry

    Optical LossPolarization Measurement

    Refractive Index Measurement

    Turbidity Measurement

    Laser Output Measurement

    Vision and Image Sensors

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    Radiation MeasurementRadioactivity Measurement

    Charged Particle Measurement

    Neutron Measurement

    Dosimetry Measurement

    Chemical Variables Measurement

    Composition Measurement

    pH Measurement

    Humidity and Moisture Measurement

    Selection of a Sensor

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    Selection of a SensorAccuracy

    The degree of agreement of the measured dimensionwith its true magnitude.

    Precision

    Repeatability.

    Resolution

    The smallest dimension that can be read on aninstruments.

    SensitivityThe input required to produce a response in anmeasuring device, expressed as the ratio of the responseto the magnitude of the input quantity.

    Stability

    Capability to maintain calibrated status.

    Precision vs. Accuracy

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    Metrology

    Calibration: the act of checking oradjusting (by comparison with a standard)the accuracy of a measuring instrument.

    No instrument can properly operate for longperiods.

    Periodic calibration.

    Displacement MeasurementLinear and Angular

    Resistive Displacement Sensors

    Inductive Displacement Sensors

    Capacitive Displacement Sensors

    Piezoelectric Transducers and SensorsLaser Interferometer Displacement Sensors

    Bore Gaging Displacement Sensors

    Time-of-Flight Ultrasonic Displacement Sensors

    Optical Encoder Displacement Sensors

    Magnetic Displacement Sensors

    Synchro/Resolver Displacement Sensors

    Optical Fiber Displacement Sensors

    Optical Beam Deflection Sensing

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    Displacement MeasurementKey Selection Criteria:

    Define clearly what you need to measure and why?

    What type of environment will the sensor operate in(harsh, vacuum, high pressure, dusty, etc.)?

    Are there space restrictions?

    Compromising on resolution and accuracy may saveyou time and money, but will the sensor perform wellenough in the application?

    Displacement MeasurementKey Selection Criteria:

    Custom versus standard off-the-shelf sensors?

    When considering standard versus custom sensors,improved sensor accuracy often comes from re-calibration, intelligent integrated sensor software,

    improving the mechanical mounting or by manufacturingthe sensor from better components or materials.

    http://www.micro-epsilon.co.uk/download/products/cat--Micro-Epsilon--products--en.pdf

    http://www.micro-epsilon.co.uk/download/products/T001--en--precise-non-contact-sensors.pdf

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    Potentiometer sensors (resistive)Potentiometer consists of wire wound around a rod with fixedresistor R

    Movement of wiper change the resistance of thepotentiometer

    Potentiometer sensors (resistive)

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    Potentiometer sensors (resistive)

    WEBSTER, J. G. The

    Measurement,

    Instrumentation, and

    Sensors Handbook. 1a ed.

    Boca Raton:CRC Press, 1999.

    Inductive Displacement Sensors

    The Linear Variable DifferentialTransformer (LVDT) is the most used variable-inductance transducer in industry.

    It is an electro-mechanical device designed toproduce an AC voltage output proportional to therelative displacement of the transformer and thearmature, as illustrated in the figure below.

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    LVDT: Inductive Displacement

    SensorsPros:Relative low cost due to its popularity.

    Solid and robust, capable of working in a widevariety of environments.

    No friction resistance, since the iron core does notcontact the transformer coils, resulting in aninfinite (very long) service life.

    High signal to noise ratio and low outputimpedance.

    LVDT: Inductive DisplacementSensors

    Pros:

    Negligible hysteresis.

    Infinitesimal resolution (theoretically).In reality, displacement resolution is limited by theresolution of the amplifiers and voltage meters used to

    process the output signal.Short response time.

    No permanent damage to the LVDT ifmeasurements exceed the designed range.

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    LVDT: Inductive Displacement

    SensorsCons:The core must contact directly or indirectly withthe measured surface which is not alwayspossible or desirable.

    Dynamic measurements are limited to no morethan 1/10 of the LVDT resonant frequency.

    Mechanical Variables Measurement (Fluid)

    Pressure

    Absolute or manometric (gage)

    Above or below atmosferic (vacuum)

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    Pressure sensing elements

    Pressure

    Detection methodsRequired to convert the deformation of the sensing elementinto a pressure readout.

    In the simplest approach, the displacements of a sensingelement can be amplified mechanically by lever and flexurelinkages to drive a pointer over a graduated scale.

    Some pressure sensors employed a Bourdon tube to drive thewiper arm over a potentiometric resistance element.

    Inpiezoelectricpressure sensors, the strains associated withthe deformation of a sensing element are converted into anelectrical charge output by a piezoelectric crystal.

    Piezoelectric pressure sensors are useful for measuring high-pressuretransient events, for example, explosive pressures.Not suitable for static pressure measurement (continuous discharge ofthe crystal).

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    The sensing diaphragm and capacitor form a differentialvariable separation capacitor.

    When the two input pressures are equal the diaphragm ispositioned centrally and the capacitance are equal. Adifference in the two input pressure causesdisplacement of the sensing diaphragm and is sensed asa difference between the two capacitances

    Example: Capacitive Pressure Transducer

    Large application range:

    high-pressure sensors with full-scalepressures above 10 MPa

    vacuum sensors (commonly referred to ascapacitive manometers) for pressuremeasurements < 10 mPa

    Accurate within 0.1 % of reading or 0.01 %of full scale.

    Corrosion resistant

    Capacitive Pressure Transducer

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    Pressure range

    Pressure

    Mechanical Variables Measurement (Fluid)

    Flow

    What is the fluid being measured by theflowmeter: liquid or gas?

    Do you require rate measurement and/ortotalization from the flow meter?

    What viscosity is the liquid?

    Is the fluid clean?

    What is the minimum and maximum flowrate forthe flow meter?

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    Mechanical Variables Measurement (Fluid)

    Flow

    What is the minimum and maximum processpressure?

    What is the minimum and maximum processtemperature?

    Is the fluid chemically compatible with theflowmeter wetted parts?

    If this is a process application, what is the size ofthe pipe?

    Mechanical Variables Measurement (Fluid)

    FlowTypes of flow meters

    Differential Pressure (DP) Flowmeters

    Variable Area (VA) Flowmeters

    Positive Displacement (PD) Flowmeters

    Turbine and Vane Flowmeters

    Impeller Flowmeters

    Electromagnetic Flowmeters

    Ultrasonic Flowmeters

    Vortex Shedding Flowmeters

    Thermal Mass Flow Sensors

    Coriolis Effect Mass Flowmeters

    Drag Force Flowmeters

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    Measuring volume or mass rate?PD flowmeters are the only ones that directlymeasure volumetric flow.

    Although techniques like turbine, ultrasonic and vortexmeasure the velocity of the gas stream in order todetermine volumetric flow.

    Inferential flowmeters, such as DP and variablerea (VA) sensors, measure neither volumetric normass flow, but infer its rate from other

    parameters, like a drop in pressure or thedisplacement of a float.

    Coriolis and thermal instruments are the only onesthat measure the mass flow of gases.

    Measuring volume or mass rate?Volumetric and mass measurements can beconverted between one another if the fluiddensity is known

    Density of gases is equally sensitive to

    pressure and temperature, unlike liquidsthat are less susceptible to changingconditions.

    Volumetric flow measurement still has itsplace in many processes, however it is moreconvenient to measure mass flow in gasesand steam than volumetric flow.

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    Flow sensorsCoriolis

    Use the Coriolis effect, in which a vibrating tubeis caused to distort, for measuring the flow ratedirectly, eliminating the need to compensate fortemperature, pressure and density.

    Can measure a mixture of gases, unknowngases, and fluids moving between gaseous and

    liquid states.High measuring accuracy, which is unaffected byflow profile, even down to very low flow rates.

    CoriolisPros:

    Higher accuracy than most flowmeters.

    Can be used in a wide range of liquid flow conditions.

    Capable of measuring hot (e.g., molten sulphur, liquidtoffee) and cold (e.g., cryogenic helium, liquid nitrogen)

    fluid flow.Low pressure drop.

    Suitable for bi-directional flow.

    Cons:High initial set up cost.

    Clogging may occur and difficult to clean.

    Larger in over-all size compared to other flowmeters.

    Limited line size availability (6 ~ 200 mm ).

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    Coriolis

    Flow sensors

    Differential pressureThe most common type of flowmeter.

    DP measures the flow of gases inferentially,employing the Bernoulli equation that interpretsthe relationship between pressure and flow rate.

    These flowmeters introduce a constriction orobstruction in the pipeline, creating a pressuredrop from which velocity and volumetric flowcan be calculated.

    Various types of DP flowmeters are used, themost popular being the orifice plate, which canbe subject to wear.

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    Differential pressure sensor

    Orifice Meters

    Venturi Meters

    Flow Nozzles

    P

    A

    A

    YCAQ

    FlowalFor

    IdealP

    A

    A

    AvAQ

    RateFlow

    =

    ==

    2

    1

    1

    Re

    2

    1

    1

    2

    1

    2

    2

    2

    1

    2

    222

    Differential pressure sensor

    Y = Compressibility Factor

    = 1 for incompressible flow or

    when P

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    Differential pressure sensor

    Differential pressure sensor

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    Differential pressure sensor

    Flow sensors

    Positive displacement

    PD flowmeters measure volumes of fluid byrepeatedly filling and discharging compartmentsof known volume, with fluid from theflowstream.

    There are various types of PD meter, usingvanes, gears, pistons, paddles or diaphragms toseparate the fluid.

    They provide high accuracy, but cannot handledirty fluids, and they incorporate moving partsthat are subject to wear.

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    Flow sensors

    Positive displacement

    Flow sensors

    Thermal

    Thermal flowmeters measure the mass flow ofgases, employing a combination of heatedelements and temperature sensors, withthermodynamic principles used to derive actualmass flow.

    They do not require correction for changes ingas temperature, pressure or density and areextremely accurate, especially when measuringlow and very low flow rates.

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    Flow sensors

    TurbineFluid passing through a turbine flowmeter spinsan axial rotor, the rotational speed of whichindicates flow velocity.

    They have a wide flow range and offer areasonable level of accuracy at an affordableprice, although they are restricted in use toclean, non-corrosive fluids.

    Similar comments apply to paddle wheel and pinwheel flowmeters, which translate themechanical action of paddles/wheels intovolumetric flow.

    Flow sensors

    Variable Area

    VA flowmeters typically comprise a tapered glass orplastic tube and an internal metering float, with thevolumetric flow rate proportional to the displacement ofthe float.

    Among the oldest flow technologies, it is inexpensiveand easy to install, although historically had to be fittedvertically, and is sensitive to changes in temperature,pressure and density.

    Recently introduced a digital alternative, which offersgreatly improved accuracy, electronic output signals andno fragile glass components in the flow path.

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    Flow sensors

    http://www.omega.com/prodinfo/FlowmeterSelection.pdf

    Common temperature sensors

    Liquid-in-glass thermometres (normally usedfor calibration of other temperature sensors).

    Thermocouple (cheap, small size, resistant).

    Thermoresistance (more accurate).

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    Liquid-in-glass thermometres

    Liquid-in-glass thermometres

    The traditional thermometres

    Measurement scale from -190 C to

    +600 CUsed mainly in calibration

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    Causes of inaccuraties

    Temperaturedifferences in theliquid

    Glass temperaturealso affects

    The amount ofimmersion (vs.calibration)

    ThermocouplesSeebeck effect

    If two wires of dissimilar metals are joined atboth ends and one end is heated, current willflow.

    If the circuit is broken, there will be an opencircuit voltage across the wires.

    Voltage is a function of temperature and metaltypes.

    For small Ts, the relationship with temperatureis linear

    For larger Ts, non-linearities may occur.

    V T =

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    Thermocouple Advantages andDisadvantages

    Advantages:Self Powered (doesnot require a currentor voltage source)

    Rugged

    Inexpensive

    Simple

    Disadvantages:Extremely Low

    Voltage output (mV)

    Not very stable

    Needs a referencepoint

    Thermocouple

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    Thermocouple

    One wire cannot form a thermocouple: Net voltage = 0

    Thermocouple

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    Thermocouple

    Thermocouple

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    Measuring the Thermocouple VoltageIf you attach the thermocouple directly to a voltmeter,you may have problem.

    You have just created another junction! Your displayedvoltage will be proportional to the difference between J1and J2 (and hence T1 and T2). Note that this is Type Tthermocouple.

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    External Reference JunctionA solution is to put J2 in an ice-bath; thenyou know T2, and your output voltage willbe proportional to T1-T2.

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    Thermocouple

    Other types of thermocouplesMany thermocouples dont have one copperwire. Shown below is a Type Jthermocouple.

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    ( )

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    The block is an electrical insulator but goodheat conductor. This way the voltages for J3and J4 cancel out. Thermocouple dataacquisition set-ups include these isothermal

    blocks.

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    Thermocouple

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    Typically cold junction temperature is sensed by a precision thermistor in good

    thermal contact with the input connectors of the measuring instrument.

    Software CompensationHow can we find the temperature of the block? Usea thermister or RTD.

    Once the temperature is known, the voltageassociated with that temperature can be subtractedoff.

    Then why use thermocouples at all?Thermocouples are cheaper, smaller, more flexible andrugged, and operate over a wider temperature range.

    Most data acquisition systems have softwarecompensation built in.

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    Hardware CompensationWith hardware compensation, the temperatureof the isothermal block again is measured, andthen a battery is used to cancel out the voltageof the reference junction.

    This is also called an electronic ice pointreference.

    Thermocouple typesType E: Chromel + leg (nickel/10% chromium) and constantan - leg

    (nickel/45% copper). 200

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    Thermocouple typesType K: Chromel + leg and Alumel (nickel/5% aluminum andsilicon) - leg. Low cost, most popular. 200

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    Sheathing and SLE

    Special Limits of Error wire can be used to improveaccuracy.

    Sheathing of wires protects them from theenvironment (fracture, oxidation, etc.) and shieldsthem from electrical interference.

    The sheath should extend completely through themedium of interest. Outside the medium of interestit can be reduced.

    Sometimes the bead is exposed and only the wire iscovered by the sheath. In harsher environments, thebead is also covered. This will increase the timeconstant

    Thermocouple errors

    Any error in the measurement of cold junction temperature will lead to the same error

    in the measured temperature from the thermocouple tip.

    If you do your own calibration, you can usually improve on the listed

    uncertainties.

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    Precautions and Considerationsfor Using Thermocouples

    Most measurement problems and errors withthermocouples are due to a lack of understanding of howthermocouples work.

    Thermocouples can suffer from ageing and accuracy mayvary consequently especially after prolonged exposure totemperatures at the extremities of their useful operatingrange.

    Potential ProblemsPoor bead construction

    Weld changed material characteristics because the weldtemperature was too high.

    Large solder bead with temperature gradient across it

    DecalibrationProcess of unintentionally altering the properties of the

    thermocouple wire.The usual cause is the diffusion of atmospheric particles intothe metal at the extremes of operating temperature. Anothercause is impurities and chemicals from the insulationdiffusing into the thermocouple wire.

    Inhomogeneities in the wire; these are especially bad inapplications with large temperature gradients. Common iniron wires.

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    Potential ProblemsConnection problems

    Errors caused by unintentional thermocouplejunctions.

    Any junction of two different metals willcause a junction.

    Use the correct type of thermocoupleextension wire to increase the length of the

    leads from your thermocouple.Any connectors used must be made of thecorrect thermocouple material and correctpolarity must be observed.

    Potential ProblemsNoise

    The output from a thermocouple is a small signal, so itis prone to electrical noise pick up.

    Most measuring instruments reject any common mode

    noise (signals that are the same on both wires) sonoise can be minimized by twisting the cable togetherto help ensure both wires pick up the same noisesignal.

    If operating in an extremely noisy environment, (suchas near a large motor) it is worthwhile consideringusing a screened extension cable.

    If noise pickup is suspected first switch off all suspectequipment and see if the reading changes.

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    Potential ProblemsThermal Shunting

    All thermocouples have some mass. Heating this masstakes energy so will affect the temperature that you aretrying to measure.

    Consider for example measuring the temperature of liquidin a test tube: the heat will travel up the thermocouplewire and dissipate to the atmosphere so reducing thetemperature of the liquid around the wires. If thethermocouple is not sufficiently immersed in the liquid,due to the cooler ambient air temperature on the wires,thermal conduction may cause the thermocouple junctionto be a different temperature to the liquid itself.

    Thermocouple with thinner wires may help avoiding thisproblem, but attention to lead resistance.

    Potential ProblemsLead Resistance

    Thermocouples are made of thin wire to minimizethermal shunting and improve response times. Thus,thermocouple may have high resistance which can makeit sensitive to noise and can also cause errors due to theinput impedance of the measuring instrument.

    If thermocouples with thin leads or long cables areneeded, it is worth keeping the thermocouple leads shortand then using thermocouple extension wire (which ismuch thicker, so has a lower resistance) to run betweenthe thermocouple and measuring instrument.

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    Potential ProblemsLinearization

    The measuring instrument must allow for the factthat the thermocouple output is non linear.

    The relationship between temperature and outputvoltage is a complex polynomial equation (5th to9th order depending on thermocouple type).

    Analogue methods of linearization are used in lowcost thermocouple meters.

    High accuracy instruments store thermocoupletables in computer memory to eliminate thissource of error.

    Thermoresistance sensorsThe resistance of several materials changes with the temperature.

    In general, the resistance of metallic materials increase with T, whereas that ofsemiconductor decreases

    Thermistor: Negative temperature coefficient

    (NTC) and positive temperature coefficient (PTC)

    are small, very sensitive and used in a smallrange of temperature

    Resistance Temperature Detectors (RTDs):Wire wound or a thin film.Platinum is the most used material.International standard temperature sensor forlaboratory applications between -270< T

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    ThermoresistanceIn the USA, ASTM Specification E1137 "Standards Specification for Industrial

    Platinum Resistance Thermometers" gives many details and specifications forthem over the range from -200 C to 650C.

    Two RTD grades: A and B with a resistance-temperature relationship that has thefollowing tolerances:

    Grade A Tolerance = [0.13 +0.0017 *|t|] C

    Grade B tolerance =[0.25 +0.0042 *|t|] Cwhere |t| is the absolute value of the RTD's temperature in C.

    DIN Standard (German) recognizes three different tolerance classes:

    Class A tolerance: [0.15 + 0.002*|t|] CClass B tolerance: [0.30 + 0.005*|t|] CClass C tolerance: [1.20 + 0.005*|t|] C

    ThermoresistanceTemperature vs resistance equation (Callendar-Van Dusen equation)

    Here, RT

    is the resistance at T, R0

    is the resistance at 0 C, and the constants (for =0.00385 platinum RTD) are:

    Since the Band Ccoefficients are relatively small, the resistance changes almostlinearly with T.

    RRR oo

    0.100

    01

    =

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    ThermoresistanceAdvantages of RTDs Stable output for long period of time.

    Accurate readings over relatively narrow temperature spans.

    No need of special wire.

    Change in resistance linear.

    Disadvantages, compared to the thermocouples: Smaller overall temperature range.

    Higher initial cost.

    More sensible in high vibration environments. Higher response time.

    Current source required.

    Small change in resistance.

    Self heating.

    Less rugged than thermocouples.

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    RTD geometry

    Sheathing: stainless steel or iconel, glass, alumina,quartz

    Metal sheath can cause contamination at hightemperatures and are best below 250C.

    At very high temperatures, quartz and high-purityalumina are best to prevent contamination.

    Thermoresistance

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    ThermoresistanceRequire an electrical current to produce a voltage drop across the

    sensor that can be then measured by a calibrated read-out device.

    Wheatstone bridge:

    R4.R2 = R3.R1 VAB=0,no current passing through the

    voltmeter OR

    SAB VRR

    R

    RR

    RV

    +

    +=

    21

    2

    43

    4

    ThermoresistanceTwo wires connection

    (R4+RL1+RL2).R2 = R3.R1

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    ThermoresistanceThree wires connection

    (R4+RL2).R2 = (R3+RL1).R1

    R4.R2 +RL2.R2= R3.R1+RL1.R1

    R2=R1=R, and if RL2=RL1

    R4= R3

    ThermoresistanceFour wires connection

    A power source A supplies a stable current S

    throught the thermoresistance, and the voltage

    drop is measured with a voltmeter.

    Negligeble effect of the conduction wires.

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    ThermoresistanceThree wires sensor measure through a 4 wires connection measure

    Error caused by RL; thus, create the forth

    wire, as close as possible to the RTD.

    When a 4 wires connection is available, a

    two wires sensor can be used as 4 wires to

    reduce wire errors.

    Potential ProblemsRTDs are more fragile than thermocouples.

    An external current must be supplied to the RTD.This current can heat the RTD, altering the results.For situations with high heat transfer coefficients,this error is small since the heat is dissipated to air.

    For small diameter thermocouples and still air thiserror may become large.

    When the platinum is connected to copperconnectors, a voltage difference will occur (as inthermocouples). This voltage must be subtracted off.

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    ThermistorsThermistors also measure the change in resistance withtemperature.

    Thermistors are very sensitive (up to 100 times more thanRTDs and 1000 times more than thermocouples) and candetect very small changes in temperature. They are alsovery fast.

    Due to their speed, they are used for precision temperaturecontrol and any time very small temperature differences

    must be detected.They are made of ceramic semiconductor material (metaloxides).

    The change in thermistor resistance with temperature is verynon-linear.

    Thermistor Advantages andDisadvantages

    Advantages:Very sensitive (hasthe largest output

    change from inputtemperature)

    Quick response

    More accurate thanRTD andThermocouples

    Disadvantages:Output is a non-linear function

    Limited temperaturerange.

    Require a currentsource

    Self heating

    Fragile

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    Thermistor Non-Linearity

    Resistance/TemperatureConversion

    Standard thermistors curves are not provided as much aswith thermocouples or RTDs. You often need a curve for aspecific batch of thermistors.

    No 4-wire bridge is required as with an RTD.Thermistors do not do well at high temperatures and showinstability with time (but for the best ones, this instabilityis only a few millikelvin per year)

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    Choice Between RTDs,Thermocouples, Thermisters

    Cost thermocouples are cheapest by far, followed by RTDs

    Accuracy RTDs or thermisters

    Sensitivity thermisters

    Speed - thermisters

    Stability at high temperatures not thermisters

    Size thermocouples and thermisters can be made quite

    smallTemperature range thermocouples have the highestrange, followed by RTDs

    Ruggedness thermocouples are best if your system will betaking a lot of abuse