Mechanical Engineering, Robotics & Workplace Automation

Signals, Noise, Sampling & Conditioning

Getting a trustworthy temperature out of a type K thermocouple in a smoker: why it makes only about 41 µV per °C, why the junction at the instrument's terminals has to be measured and added back (Kuphaldt's 14.30 mV + 0.91 mV example), how heater switching and ground loops inject noise and why an ungrounded probe helps, detecting an open (burned-out) thermocouple, and choosing a sample rate and filter for a process that changes over minutes.

  • 5 min
  • 6 steps
  • 3 questions
  • Lesson 50 of 78

In this lesson

  1. Microvolts per degree
  2. The reference junction
  3. Noise and ground loops
  4. Catch a broken probe
  5. How often to sample
  6. What to take from this

Microvolts per degree

A thermocouple is two wires of different metals joined at the tip. Heat the tip and a small voltage appears between the wires. A type K (chromel and alumel) makes about 41 µV per °C, which is only about 4 mV at smoker temperature. A meter or converter reading it has to resolve a few hundredths of a millivolt to see a single degree, in a box with a 12-amp heater switching on and off a few inches away. Everything in this lesson is about not losing that signal.

Left: a type K thermocouple's two wires from the tip in the smoker to terminals where copper wires begin, about 41 µV per °C and about 4 mV at smoker heat; the terminals form a reference junction whose voltage must be added back: reading 14.30 mV with terminals at 73 °F (0.910 mV) means a tip voltage of 15.21 mV. Right: switching noise (twist leads, keep them apart), ground loops (use ungrounded tips), burnout (an open thermocouple reads noise: detect it and shut the heater off), and filtering over whole 60 Hz cycles.
Microvolts per degree: compensate, shield, and catch a broken probe. Credit: StudyCorner diagram after Kuphaldt, Lessons in Industrial Instrumentation · CC BY 4.0 · Source

The reference junction

There’s a catch built into every thermocouple. Wherever its two wires connect to the instrument’s copper terminals, two more junctions of dissimilar metal form, and they make their own voltage. So a thermocouple doesn’t measure the tip temperature: it measures the difference between the tip and that reference (or cold) junction 1.

The fix is cold-junction compensation: measure the terminals’ temperature with another sensor and add back the voltage they’re cancelling. Kuphaldt’s worked example: a type K reads 14.30 mV with the terminals at 73 °F. The type K table says a junction at 73 °F makes 0.910 mV, so the tip voltage is 14.30 + 0.91 = 15.21 mV, and that’s the number to look up for the tip temperature 1. The voltage-to-temperature relationship isn’t linear, which is why tables (the NIST ITS-90 standard) are used instead of a single formula 1.

In practice, a thermocouple converter chip does both jobs: it measures its own terminal temperature and applies the table internally. Use thermocouple extension wire of the same type all the way to it; ordinary copper wire partway along creates new junctions in the wrong place.

Thermocouple 101: Cold Junction Compensation Cold-junction compensation in two minutes. Credit: Analog Devices · YouTube standard license · 2:04 · Source

Playback is optional. If the player is unavailable, open the video at its source.

Quick check

A type K thermocouple reads 14.30 mV, and its terminals are at 73 °F, which corresponds to 0.910 mV on the type K table. What voltage do you look up to find the tip temperature?

Noise and ground loops

Two things inject noise into a few millivolts:

  • Switching: the element’s current and the SSR switching induce voltages in nearby wires. Twist the thermocouple leads together, route them away from the element wiring, and cross power wires at right angles.
  • Ground loops: thermocouple probes come with exposed, grounded, or ungrounded tips. A grounded tip is welded to its metal sheath, which responds faster (often less than half the time constant of an ungrounded one) but connects the circuit to whatever the sheath touches, here the smoker’s metal body, forming a ground loop that can add noise and error. That’s why most industrial thermocouples are ungrounded 1. Use an ungrounded probe; the slower response doesn’t matter in a smoker.

Quick check

Why use an ungrounded-tip probe in a metal smoker?

Catch a broken probe

The most common thermocouple failure is the circuit opening, called burnout. An instrument with high input impedance and nothing connected doesn’t read zero: it picks up noise from power lines and motors and reports wild, meaningless temperatures 1. A good converter detects an open probe and flags it. The controller must treat that flag as a fault: element off. The same goes for a reading that’s impossible (below the outdoor temperature with the element on full for half an hour) or one that jumps 50 degrees in a second.

Quick check

What should the controller do if the thermocouple opens (burns out)?

How often to sample

A smoker’s temperature changes over minutes, not milliseconds; the step test in lesson 5 shows a time constant around 25 minutes. Reading the temperature once a second is plenty. But each reading should be averaged:

  • average several conversions per reading to knock down random noise;
  • if your converter allows it, average over a whole number of 60 Hz cycles (1/60 s each), so the line-frequency hum cancels instead of aliasing into a slow wander;
  • don’t over-filter: a heavy filter adds lag, and lag in the measurement is lag in the control loop.

What to take from this

A type K makes about 41 µV/°C, roughly 4 mV at smoker heat. It measures the tip relative to the terminals, so the terminals’ voltage must be added back (14.30 + 0.91 = 15.21 mV in Kuphaldt’s example); a converter chip and matching extension wire handle it. Twist and separate the leads, use an ungrounded probe to avoid ground loops, detect an open probe and shut the heat off, and sample about once a second with light averaging over whole 60 Hz cycles.

Lesson complete

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Sources for this lesson
  1. 1
    Tony R. Kuphaldt. Lessons in Industrial Instrumentation (ch. 21 Continuous Temperature Measurement; ch. 29 Closed-Loop Control; ch. 30 Process Dynamics and PID Controller Tuning). ibiblio.org (Creative Commons Attribution 4.0). verifiedThermocouples: two dissimilar metals produce a temperature-dependent voltage; the junction at the instrument terminals is an unavoidable reference (cold) junction whose voltage must be compensated (example: a type K reading 14.30 mV with terminals at 73 F, which corresponds to 0.910 mV on the NIST ITS-90 table, means a tip voltage of 15.21 mV). Grounded-tip thermocouples respond faster but invite ground loops, so most industrial ones are ungrounded; exposed tips are fastest. The most common failure is open circuit (burnout); with high-impedance inputs an open thermocouple picks up noise from power lines and drives, so instruments need burnout detection. RTDs: platinum, alpha 0.00392, R = R0[1 + alpha(T - T0)]. Process dynamics: know the process before tuning; self-regulating, integrating, and runaway processes need different tuning; dead time (no response at all for a time) is far worse for feedback control than lag. Open-loop (manual) step test: measure dead time L and reaction rate R (max slope, percent per minute) for a step of size delta m; Ziegler-Nichols open-loop: P only Kp = delta m/(R L); PI Kp = 0.9 delta m/(R L), integral time 3.33 L; PID Kp = 1.2 delta m/(R L), integral 2 L, derivative 0.5 L; these are starting points only. Practical controller features: reset (integral) windup when the PV can't reach setpoint no matter how far the output is driven, output limits, manual/automatic modes and output tracking.