Automation Glossary • Temperature Coefficient

What Is A Temperature Coefficient In Instrument Specs?

Merobix Engineering • • 6 min read

A transmitter's headline accuracy is measured in a temperature-controlled lab. The field is not a lab. When that same transmitter sits in a sun-baked enclosure in July or a frozen one in January, its reading shifts, and the datasheet term that quantifies how much is the temperature coefficient. It is usually buried in the fine print, easy to overlook, and yet for outdoor and unconditioned installations it frequently adds more error than the accuracy figure everyone quotes. Reading it is essential to knowing what a field instrument really delivers.

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Temperature Coefficient in one line: A temperature coefficient, sometimes called tempco or thermal error, is the datasheet specification for how much an instrument's reading changes as its ambient temperature moves away from the reference temperature. It is typically stated separately for the zero and the span, often as a percentage per ten degrees Celsius of deviation. Because field temperatures swing far from the lab reference, this thermal error can add substantially to, and sometimes exceed, the instrument's base accuracy.

The Thermal Error Buried In The Datasheet

Instrument accuracy is specified at a reference temperature, a nominal value where the device is characterized. The temperature coefficient describes what happens as the ambient temperature departs from that reference. It is usually quoted per unit of temperature deviation, for example a percentage of span per ten degrees Celsius, and often split into a zero-temperature effect and a span-temperature effect because temperature can shift the offset and the slope independently.

The zero and span split matters because the two behave like the zero and span shifts of a calibration, but driven by temperature rather than aging. The zero-temperature coefficient shifts the whole curve up or down as temperature changes, adding a constant error across the range. The span-temperature coefficient tilts the curve, adding an error that grows toward full scale. At a given ambient temperature and a given reading, both effects contribute, and the total thermal error is their combination at that operating point.

This term is easy to miss because it sits below the prominent accuracy figure and is expressed in a form that requires a small calculation to turn into a real number. To find the actual thermal error, you take the temperature deviation from the reference, multiply by the coefficient, and apply it to the reading or span as specified. Only then does it become clear how much the environment is adding, and for a wide temperature swing that number can be surprisingly large.

When Temperature Error Swamps The Base Accuracy

For a field instrument exposed to real weather, the temperature deviation from the lab reference can be large. An enclosure in direct summer sun can run far above the reference, and an unheated enclosure in a cold winter far below it, so the temperature deviation feeding the coefficient is not a few degrees but many. Multiply a modest per-degree coefficient by a large deviation and the resulting thermal error can rival or exceed the base accuracy the datasheet advertises.

This is the quiet degradation that catches specifiers who compare only headline accuracy figures. Two transmitters with identical base accuracy can perform very differently in the field if one has a far worse temperature coefficient, because the one with the poorer thermal spec accumulates more error across the seasonal temperature range. For an installation that will see wide ambient swings, the temperature coefficient can be the more important number, and ignoring it means the instrument reads worse in the field than expected even though nothing is broken.

The remedies are physical as much as they are about instrument selection. Choosing a device with a tighter temperature coefficient, conditioning the enclosure to hold a narrower temperature range, shading it from direct sun, or relocating it to a more stable environment all reduce the thermal error. Which remedy is worth its cost depends on how much the temperature term actually contributes, which is exactly why it needs to be quantified rather than assumed negligible.

Why SCADA Custody Points Need The Temperature Term

For a custody or fiscal point, the accuracy claim attached to the measurement must reflect the conditions the instrument actually operates in, not the lab conditions where it was characterized. That means the temperature coefficient belongs explicitly in the uncertainty budget, converted into a real thermal error using the expected range of ambient temperatures at the installation. Leaving it out produces an accuracy claim that is true in a lab and optimistic in the field, which is exactly the kind of gap a measurement audit exists to find.

The situation is made more tractable when the enclosure or ambient temperature is itself a monitored point. Because Merobix historizes signals continuously, an operator can trend the enclosure temperature alongside the custody measurement and see how the reading correlates with thermal swings. A measurement error that tracks the daily or seasonal temperature cycle is a strong indication that the temperature coefficient is a live contributor, not a theoretical one, and it can be quantified from the actual data rather than estimated from the worst-case datasheet figure.

Having the temperature history stored also supports the more sophisticated step of temperature compensation, where the known coefficient and the measured ambient temperature are used to correct the reading. Whether or not that correction is applied, documenting the temperature term for each custody point, its coefficient and the ambient range it sees, keeps the reported uncertainty honest across the seasons and gives a counterparty or auditor a defensible answer to the obvious question of what the summer heat and winter cold do to the number.

Frequently Asked Questions

Why does an instrument's accuracy get worse in the field?

Because the headline accuracy is specified at a reference temperature, and the field ambient departs from that reference. The temperature coefficient adds a thermal error proportional to how far the temperature has moved from the reference, applied to the zero and span. In an enclosure that runs hot in summer or cold in winter, that added error can rival or exceed the base accuracy, even though the instrument is perfectly healthy.

What is the difference between zero and span temperature coefficients?

The zero-temperature coefficient shifts the whole calibration curve up or down as temperature changes, adding a constant error across the range, like a temperature-driven zero shift. The span-temperature coefficient tilts the curve, adding an error that grows toward full scale, like a temperature-driven span shift. At a given temperature and reading, both contribute, and the total thermal error is their combination.

How do I include the temperature coefficient in an uncertainty budget?

Take the expected temperature deviation from the reference at the installation, multiply it by the coefficient as specified, and apply the result to the zero and span to get the thermal error. That error becomes a row in the uncertainty budget alongside the base accuracy and other contributors. For a wide ambient range it can be one of the dominant terms, so it should be quantified rather than assumed negligible.

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