Study Notes

Electrical Temperature Instruments

Electrical Temperature Instruments

Electrical Temperature Instruments

Introduction to Electrical Temperature Instruments

Temperature is one of the most commonly measured physical quantities in science and engineering. Electrical temperature instruments convert temperature into electrical signals that can be measured, displayed, and used in control systems.

Temperature measurement is essential in many fields, including:

  • Manufacturing processes
  • Environmental monitoring
  • Medical diagnostics
  • Food processing
  • Chemical reactions
  • Electronics cooling

Basic Principles of Temperature Measurement

What is Temperature?

Temperature is a measure of the average kinetic energy of particles in a substance. It determines the direction of heat flow between objects in thermal contact.

At the molecular level, higher temperature means faster-moving particles.

Temperature vs. Heat

Temperature: Intensity of thermal energy (°C, K, °F)

Heat: Total thermal energy content (Joules, calories)

A small cup of boiling water has higher temperature but less heat content than a swimming pool at room temperature.

Classification of Temperature Measuring Instruments

Contact Methods

  • Thermocouples: Based on thermoelectric effect
  • RTDs: Resistance Temperature Detectors
  • Thermistors: Temperature-sensitive resistors
  • Semiconductor Sensors: Silicon-based IC sensors

Non-Contact Methods

  • Infrared Thermometers: Measure thermal radiation
  • Thermal Imaging Cameras: Create heat maps
  • Optical Pyrometers: Measure incandescent objects

Temperature Sensor Characteristics

CharacteristicDescription
AccuracyCloseness to true temperature (±°C or %)
RangeMinimum to maximum measurable temperatures
SensitivityChange in output per degree change (mV/°C, Ω/°C)
Response TimeTime to reach 63.2% of final value after step change
StabilityAbility to maintain calibration over time
Self-heatingTemperature rise due to power dissipation in sensor

When selecting a temperature sensor for an application, consider:

  • Temperature range required
  • Accuracy needed
  • Response time requirements
  • Environmental conditions (chemicals, moisture, vibration)
  • Cost constraints
  • Size limitations

Temperature Measurement System

Temperature Sensor Signal Conditioning Display Heat Electrical Signal Processed Signal

A complete temperature measurement system consists of:

  1. Temperature Sensor: Converts temperature to electrical signal
  2. Signal Conditioning: Amplifies, filters, and linearizes the sensor output
  3. Processing Unit: Converts signal to temperature value, may apply calibration
  4. Display/Interface: Shows temperature reading in user-friendly format

Temperature Scales

Temperature scales provide standardized ways to express temperature measurements. The three most common temperature scales are Celsius (°C), Fahrenheit (°F), and Kelvin (K).

Celsius Scale (°C)

  • 0°C = Freezing point of water
  • 100°C = Boiling point of water (at standard pressure)
  • Most commonly used scale in scientific and everyday applications worldwide
100°C
50°C
0°C

Fahrenheit Scale (°F)

  • 32°F = Freezing point of water
  • 212°F = Boiling point of water (at standard pressure)
  • Commonly used in the United States for everyday applications
212°F
122°F
32°F

Kelvin Scale (K)

  • 0K = Absolute zero (theoretical lowest temperature)
  • 273.15K = Freezing point of water
  • 373.15K = Boiling point of water (at standard pressure)
  • SI unit of temperature used in scientific calculations
  • No degree symbol is used with Kelvin
373K
323K
273K

Temperature Scale Conversions

Celsius to Fahrenheit: °F = (°C × 9/5) + 32

Fahrenheit to Celsius: °C = (°F - 32) × 5/9

Celsius to Kelvin: K = °C + 273.15

Kelvin to Celsius: °C = K - 273.15

Fahrenheit to Kelvin: K = (°F - 32) × 5/9 + 273.15

Kelvin to Fahrenheit: °F = (K - 273.15) × 9/5 + 32

Temperature Reference Points

Physical PhenomenonCelsius (°C)Fahrenheit (°F)Kelvin (K)
Absolute Zero-273.15-459.670
Freezing Point of Water032273.15
Room Temperature (approx.)20-2568-77293-298
Normal Human Body Temperature3798.6310.15
Boiling Point of Water100212373.15

The Kelvin scale is used in scientific calculations because:

  • It avoids negative numbers (0K is absolute zero)
  • It's directly proportional to average molecular kinetic energy
  • Many physical laws are simpler when expressed in Kelvin

Temperature Range Comparison

0K
-273.15°C
-459.67°F
273.15K
0°C
32°F
373.15K
100°C
212°F
500K
226.85°C
440.33°F

Temperature Conversion Interactive Demo

Temperature: 25°C = 77°F = 298.15K

Thermocouples

A thermocouple is a temperature sensor that consists of two different types of metals joined together at one end. It produces a small voltage (typically in microvolts) that is proportional to the temperature difference between the junction (measuring point) and the reference junction.

Working Principle: The Seebeck Effect

The Seebeck Effect

When two dissimilar metals are joined at two points and these junctions are at different temperatures, an electrical potential (voltage) is generated.

This voltage is proportional to the temperature difference between the junctions.

V = α × (T₁ - T₂)

Where:

  • V = Voltage generated
  • α = Seebeck coefficient
  • T₁ = Temperature at measuring junction
  • T₂ = Temperature at reference junction
Measuring Junction T₁ Reference Junction T₂ mV Metal A Metal B

The reference junction (cold junction) is traditionally kept at a known temperature (historically an ice bath at 0°C). Modern thermocouple instruments use electronic cold junction compensation to account for the ambient temperature at the reference junction.

Types of Thermocouples

TypeMaterialsTemperature RangeSensitivityCommon Applications
Type KChromel-Alumel-200°C to +1350°C41 µV/°CGeneral purpose, ovens, kilns
Type JIron-Constantan-40°C to +750°C55 µV/°CGeneral purpose, reducing environments
Type TCopper-Constantan-250°C to +350°C43 µV/°CLow temperatures, food processing, cryogenics
Type EChromel-Constantan-200°C to +900°C68 µV/°CHigh sensitivity applications
Type NNicrosil-Nisil-270°C to +1300°C39 µV/°CHigh temperature stability, oxidizing environments
Type SPlatinum-Rhodium-50°C to +1768°C10 µV/°CHigh temperature, standards, laboratories
Type RPlatinum-Rhodium-50°C to +1768°C10 µV/°CHigh temperature, similar to Type S
Type BPlatinum-Rhodium0°C to +1820°C10 µV/°CHighest temperature range, furnaces

Advantages of Thermocouples

  • Wide temperature range (-270°C to +2300°C, depending on type)
  • Rugged and durable
  • No power supply required (self-powered)
  • Fast response time
  • Relatively low cost
  • Can be used in harsh environments

Limitations of Thermocouples

  • Low voltage output (microvolts)
  • Non-linear response
  • Reference junction compensation required
  • Lower accuracy compared to RTDs
  • Prone to electrical noise
  • Aging and drift over time

Thermocouple Measurement Circuit

Measuring Junction T₁ Reference Junction T₂ Cold Junction Compensation Amp ADC Display Temp Sensor

Thermocouple Installation and Usage

Thermocouple Construction

Thermocouples are available in different constructions:

  • Exposed Junction: The welded junction extends beyond the protective sheath. Fastest response time but less durable.
  • Grounded Junction: The junction is welded to the inside of the protective sheath. Good response and protection.
  • Ungrounded Junction: The junction is electrically isolated from the sheath. Provides electrical isolation but slower response.
Exposed Junction Grounded Junction Ungrounded Junction
Thermocouple Extension Wires

When extending thermocouple wires, you must use the correct type of extension wires:

  • Thermocouple Extension Wire: Made of the same materials as the thermocouple but generally with lower grade materials.
  • Compensating Cable: Made of different materials but designed to have similar thermoelectric properties over a limited temperature range.

Using standard copper wires to extend thermocouples will create additional unintended junctions, causing measurement errors!

Common Errors in Thermocouple Measurements
  • Cold Junction Error: Incorrect compensation for the reference junction temperature
  • Extension Wire Error: Using incorrect extension wires
  • Galvanic Voltages: Caused by dissimilar metals in contact with conductive solutions
  • Thermal Shunting: Heat is conducted away from the measurement point through the thermocouple wires
  • Electrical Noise: Thermocouple signals are low-level (microvolts) and susceptible to electromagnetic interference
  • Calibration Drift: Changes in thermoelectric properties over time due to contamination or high-temperature exposure

Thermocouple Color Codes

Thermocouple wires and connectors are color-coded to identify the type. However, color codes vary by region/standard:

TypeIEC Colors (International)ANSI Colors (North America)
Type KGreen (+) / White (-)Yellow (+) / Red (-)
Type JBlack (+) / White (-)White (+) / Red (-)
Type TBrown (+) / White (-)Blue (+) / Red (-)
Type EViolet (+) / White (-)Purple (+) / Red (-)

RTDs and Thermistors

Resistance Temperature Detectors (RTDs) and Thermistors are temperature sensors that operate based on the principle that the electrical resistance of certain materials changes with temperature.

Resistance Temperature Detectors (RTDs)

RTDs are precision temperature sensors made from pure metals (usually platinum, nickel, or copper). Their resistance increases fairly linearly with temperature.

Leads Leads Platinum Sensing Element
  • PT100: Platinum RTD with 100Ω resistance at 0°C
  • PT1000: Platinum RTD with 1000Ω resistance at 0°C

For platinum RTDs (simplified equation):

Rt = R0(1 + αt)

Where:

  • Rt = Resistance at temperature t
  • R0 = Resistance at 0°C (100Ω for PT100)
  • α = Temperature coefficient (≈0.00385 Ω/Ω/°C for platinum)
  • t = Temperature in °C

For more accurate calculations, the Callendar-Van Dusen equation is used:

For t ≥ 0°C: Rt = R0[1 + At + Bt²]

For t < 0°C: Rt = R0[1 + At + Bt² + C(t-100)t³]

Where A, B, and C are calibration coefficients

Thermistors

Thermistors are semiconductor devices whose resistance changes significantly with temperature. They come in two types:

  • NTC (Negative Temperature Coefficient): Resistance decreases as temperature increases
  • PTC (Positive Temperature Coefficient): Resistance increases as temperature increases
Leads Leads Semiconductor Material

For NTC thermistors:

Rt = R0eB(1/T - 1/T0)

Where:

  • Rt = Resistance at temperature T (Kelvin)
  • R0 = Resistance at reference temperature T0 (Kelvin)
  • B = Beta constant (material property, in Kelvin)
  • T = Temperature in Kelvin
  • T0 = Reference temperature in Kelvin

A simpler approximation (Steinhart-Hart equation):

1/T = A + B(ln R) + C(ln R)³

Where A, B, and C are calibration coefficients

Comparison between RTDs and Thermistors

CharacteristicRTDsThermistors
Temperature Range-200°C to +850°C-100°C to +300°C
AccuracyHigh (±0.1°C possible)Medium (±0.2°C typical)
LinearityGood (nearly linear)Poor (highly non-linear)
SensitivityLow (0.4 Ω/°C for PT100)High (hundreds of Ω/°C)
StabilityExcellent (long-term stable)Fair (more drift over time)
Response TimeSlowFast
Self-heatingLowHigh
CostHigherLower
SizeLargerSmaller

RTD Measurement Circuits

2-Wire RTD Connection

The simplest connection but least accurate:

  • Lead wire resistance adds to RTD resistance
  • Temperature changes in leads affect measurement
  • Suitable only for short distances or where accuracy is not critical
RTD Ω Lead Resistance Lead Resistance
3-Wire RTD Connection

Most common industrial RTD connection:

  • Compensates for lead wire resistance
  • Assumes all leads have equal resistance
  • Good balance of accuracy and cost
RTD 3-Wire Measurement
4-Wire RTD Connection

Highest accuracy RTD connection method:

  • Completely eliminates lead wire resistance effects
  • Uses separate current source and voltage measurement circuits
  • Used in precision applications and calibration
RTD Current Source Voltage Measurement

Thermistor Measurement Circuits

Simple Voltage Divider

Fixed Resistor (R) Thermistor (Rt) Vout Vcc

Output voltage:

Vout = Vcc × R / (R + Rt)

Temperature can be calculated from Vout using the thermistor equation.

Wheatstone Bridge

R1 R2 R3 Rt Vout Vcc

Provides more sensitivity and allows for temperature compensation.

Self-heating error: When current flows through an RTD or thermistor, it generates heat that raises the sensor's temperature above the environment. This leads to measurement errors.

To minimize self-heating:

  • Use the minimum excitation current needed
  • Choose sensors with larger physical size
  • Use pulsed measurements rather than continuous power

Digital Temperature Sensors

Digital temperature sensors combine a temperature sensing element with signal conditioning, analog-to-digital conversion, and a digital interface, all in a single integrated circuit (IC).

Advantages of Digital Sensors

  • Direct digital output (no need for ADC)
  • Built-in calibration and linearization
  • Immune to noise and lead resistance issues
  • Multiple sensors can share the same bus
  • Often include additional features (alarms, registers)
  • Simple to interface with microcontrollers

Limitations of Digital Sensors

  • Limited temperature range compared to thermocouples
  • Higher cost for basic applications
  • Requires programming knowledge
  • Power consumption (not passive like thermocouples)
  • Not suitable for harsh environments
  • Fixed accuracy (typically ±0.5°C to ±2°C)

Types of Digital Temperature Sensors

I²C Interface Sensors

I²C (Inter-Integrated Circuit) is a popular 2-wire communication protocol used by many digital sensors.

  • Requires only 2 wires (SDA and SCL) plus power
  • Multiple sensors can share same bus with different addresses
  • Typical examples: TMP102, LM75, MCP9808
  • Resolution typically 0.0625°C to 0.25°C
  • Range typically -55°C to +125°C
Digital Temp Sensor Micro- controller VCC GND SDA SCL
1-Wire Interface Sensors

1-Wire protocol allows data and power to be transmitted over a single wire.

  • Requires only 1 data wire plus ground (sometimes "parasitic power" with no VCC wire)
  • Each device has a unique 64-bit ID
  • Can connect multiple sensors on one bus
  • Slower than I²C but simpler wiring
  • Most popular example: DS18B20
Digital Temp Sensor Micro- controller VCC GND DATA 4.7kΩ

The DS18B20 is a popular 1-Wire digital temperature sensor with:

  • Range: -55°C to +125°C
  • Accuracy: ±0.5°C (from -10°C to +85°C)
  • Resolution: Programmable from 9-bit (0.5°C) to 12-bit (0.0625°C)
  • Unique 64-bit serial code (allows multiple sensors on one bus)
SPI Interface Sensors

SPI (Serial Peripheral Interface) is a 4-wire synchronous serial communication protocol:

  • Uses 4 wires: MOSI, MISO, SCK, and CS
  • Faster than I²C and 1-Wire
  • Requires a separate chip select (CS) line for each device
  • Examples: MAX31855 (thermocouple interface), MAX31865 (RTD interface)

The MAX31855 is a digital thermocouple interface that combines a thermocouple input with cold junction compensation and digital conversion:

  • Designed specifically for K-type thermocouples
  • Cold junction compensation built-in
  • 14-bit resolution (0.25°C)
  • Range: -270°C to +1800°C
  • SPI interface to microcontroller

Infrared (IR) Temperature Sensors

Non-Contact Temperature Measurement

IR temperature sensors measure the infrared radiation emitted by objects to determine their temperature without physical contact.

Based on the principle that all objects emit thermal radiation proportional to their temperature (Stefan-Boltzmann Law).

Stefan-Boltzmann Law:

P = εσT⁴

Where:

  • P = Power radiated per unit area (W/m²)
  • ε = Emissivity (0 to 1)
  • σ = Stefan-Boltzmann constant (5.67 × 10⁻⁸ W/m²K⁴)
  • T = Absolute temperature in Kelvin

Digital IR Temperature Sensors

Modern IR sensors combine an IR detector with processing electronics to output temperature directly.

Examples include:

  • MLX90614: I²C output, -70°C to +380°C range, ±0.5°C accuracy
  • TMP006/TMP007: I²C output, contactless temperature sensor
  • AMG8833: 8×8 pixel thermal array ("thermal camera")

Key considerations:

  • Emissivity setting (different materials emit different amounts of IR)
  • Field of view (the area "seen" by the sensor)
  • Distance-to-spot ratio (measurement area increases with distance)

Digital temperature sensors are commonly used in:

  • Consumer electronics (smartphones, laptops, appliances)
  • Environmental monitoring systems
  • Home automation and HVAC controls
  • Medical devices
  • Automotive applications
  • IoT (Internet of Things) devices

Arduino Example: Reading DS18B20 Temperature Sensor

Arduino code for reading a DS18B20 temperature sensor:

#include <OneWire.h>
#include <DallasTemperature.h>

// Data wire is connected to digital pin 2
#define ONE_WIRE_BUS 2

// Setup a oneWire instance to communicate with any OneWire devices
OneWire oneWire(ONE_WIRE_BUS);

// Pass our oneWire reference to Dallas Temperature
DallasTemperature sensors(&oneWire);

void setup() {
  // Start serial communication
  Serial.begin(9600);
  
  // Start up the library
  sensors.begin();
}

void loop() {
  // Send the command to get temperatures
  sensors.requestTemperatures(); 
  
  // Print the temperature in Celsius
  Serial.print("Temperature: ");
  Serial.print(sensors.getTempCByIndex(0));
  Serial.println(" °C");
  
  // Print the temperature in Fahrenheit
  Serial.print("Temperature: ");
  Serial.print(sensors.getTempFByIndex(0));
  Serial.println(" °F");
  
  delay(1000);  // Wait 1 second between readings
}
            

Temperature Measurement Calculators

Temperature Conversion Calculator

Conversion Results

Converted Value:

RTD Resistance Calculator

RTD Resistance Results

Resistance at °C: Ω

Thermocouple mV Calculator

Thermocouple Results

Output Voltage: mV

Sensitivity: µV/°C

Thermistor Resistance Calculator

Thermistor Results

Resistance at °C: Ω

Examples

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