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April 2011 - Control Global

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a s k t h e e x p e r t S<br />

Measurement of Drift, Stability, Offset, Bias.<br />

“Ask the Experts” is moderated by Béla Lipták, process control consultant and editor of the Instrument Engineer’s Handbook<br />

(IEH). He is now recruiting new contributors for the 5th edition. If you are qualified to contribute to this volume, or if you are<br />

qualified to answer questions in this column or want to ask a question, write to liptakbela@aol.com.<br />

QIn determining some of the static and dynamic characteristics<br />

of sensors and other instruments, I find the<br />

definitions of the following terms somewhat confusing.<br />

I find it difficult to differentiate between them. For example.<br />

the ISA dictionary gives the definitions for drift and<br />

stability as follows:<br />

Drift:<br />

ANSI/ISA-S51.1-1979 (R1993). [ISARP67.04.01-2000.ISA-<br />

RP67.04.02-2000]. — An undesired change in output over a<br />

period of time, where the change is unrelated to the input,<br />

environment or load.<br />

[ANSI/ISA-75.05.01-2000] 3. — An undesired change in<br />

the output/input relationship over time.<br />

[ISA-37.1-1975 (1992)] — An undesired change in output<br />

over time that is not a function of the measurand. Drift is<br />

usually expressed as the change in output over a specified<br />

time with fixed input and operation conditions. It is usually<br />

used in the context of analog transducers, analyzers, etc.<br />

Repeatability<br />

Random error<br />

(Precision)<br />

Systematic error<br />

(Bias)<br />

Stability:<br />

[ISA-37.1-1975 (R1982)] — The ability of a transducer to<br />

retain its performance characteristics for a relatively long period<br />

of time. Unless otherwise stated, stability is the ability of<br />

a transducer to reproduce output readings obtained during its<br />

original calibration, at room conditions, for a specified period<br />

of time. It is then typically expressed as being “within X percent<br />

of full scale output for a period of Y months.<br />

[SA-RP55.1-1975(R1983)]— In data processing, a measure of<br />

the ability of a device to maintain constant volumes for one or<br />

more parameters that describe its operation. Freedom from undesirable<br />

deviation. A measure of the controllability of a process.<br />

In our work, these two terms are used quite interchangeably.<br />

When we are calibrating an instrument, and it has an<br />

offset, we say it has drifted. Similarly most test equipment,<br />

such as dry bath calibrators, has stability (both long-term and<br />

short-term) in its specifications. As an aside, stability is also<br />

used to define a process controller that brings the process to<br />

new setpoint after a disturbance. But, at that time, we know<br />

that we are dealing with a process.<br />

I would like to know how we differentiate between these<br />

two characteristics? How do we measure them separately<br />

when evaluating a sensor or another instrument? Similarly,<br />

in order to correctly determine and publish offset and bias<br />

of the various instruments, how should we better understand<br />

what they are?<br />

Yusaf Muti<br />

yousaf_ zai_khan81@ yahoo.com<br />

Illegitimate<br />

error<br />

definition of terms<br />

Total error<br />

(Inaccuracy)<br />

Figure 1. Terms describing the error (inaccuracy) of a sensor<br />

AThe first 150 pages of Volume 1 of the Instrument Engineers’<br />

Handbook deals with such general topics. In<br />

this age of advertisements that show attractive people<br />

and places instead of guaranteed and clearly defined performance<br />

data, it is hard to know how good a sensor is. Some<br />

manufacturers do not even test all their sensors, and their<br />

specifications do not even state how the published numbers<br />

have been arrived at.<br />

For this reason, it would be useful if ISA recommended<br />

the testing methods and also recommended that the performance<br />

found be printed on all instrument specifications, no<br />

matter where the device was produced around the world.<br />

For example, ISA could recommend that all drift specifi-<br />

52 www.controlglobal.com A p r i l / 2 0 1 1

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