Why Are the Temperature Readings Inaccurate?
At this point, you are likely already thinking "Oh, come on. It's not that
hard; it really isn't that complicated. Look at the display on the camera; it
shows you the temperature." In fact, it really is more complicated. The most
common use of infrared thermography is for the testing of electrical power
distribution equipment. Let's look at a typical three phase fused power
disconnect (Figure 1a) and the corresponding infrared image
(Figure 1b).
Figure 1a shows a typical three phase fused power disconnect. The
corresponding infrared image, Figure 1b, was taken with the emissivity setting
at 1 on our infrared camera. The temperature span and color scale for the
infrared image is set to 308 K (95.5 °F) referring to black, with warmer
temperatures indicated progressively by blue (314 K [105 °F]), green (319 K
[115 °F]), red (325 K [125 °F]) and white (329 K [133 °F] and hotter). We
also measured the load in phases A, B and C (from left to right), at
approximately 34 A each.
A simple analysis of the thermal image indicates that phase A is
significantly hotter than phases B and C. The fuse clip at the top of phase A
indicates 329 K (133.4 °F), while the end of the fuse, specifically the metal
cap of the top of the fuse, appears much cooler with a temperature of 313 K
(103.6 °F) and the fuse body just below the cap appears to be 323 K (121.9
°F).
Can this be true? Is the metal cap only 313 K (103 °F)? No. You are seeing
an example of the apparent temperature and the effect of emissivity. The fuse
end cap is a highly reflective metal, in this case copper. Notice that the body
of the fuse also appears hotter than the metal cap. The temperature of the cap
is actually as hot as the fuse body that it is in contact with.
To explain why the apparent temperature seen through a thermal imager can be
significantly different than the real temperature, let's review our knowledge of
physics.
Thermal Radiation and the Properties of Materials
All objects emit infrared (thermal) radiation. The intensity of the radiation
depends on the temperature and nature of the material's surface. At lower
temperatures, this thermal radiation is limited to longer wavelengths. As the
object becomes hotter, the radiation intensity rapidly increases and the
wavelengths of the radiation shift toward shorter values. The relationship
between radiation intensity and temperature is defined by the Stefan-Boltzmann
law (ASNT, 2001):
| (1)
|
 |
where
Q = radiation intensity
e = emissivity
= Stefan-Boltzmann constant
T = absolute temperature.
The maximum radiation is achieved when the object has an emissivity of 1.
This is referred to as blackbody radiation, because with an emissivity of 1, the
object is a perfect radiator. However, in our real world, there are no true
blackbodies, that is, no perfect radiators. Since real materials are less than
perfect radiators, the relevant issue is "how much less than perfect are they?"
Emissivity is defined as the measure of how much less than perfect a material
radiates when compared to a blackbody. However, emissivity is only one of three
factors that cause an object to be less than a perfect radiator.
The Thermal Nature of Materials
Materials (objects in everyday life, whether they be solids, liquids or
gases) are constantly affected by their surroundings. Thermally, all objects
attempt to exchange energy with other objects in their natural drive towards
thermal equilibrium with their surroundings. In this search for thermal
equilibrium, heat is exchanged between objects via three mechanisms: conduction,
convection and radiation.
Conduction is defined as heat transfer between two solid bodies that are in
physical contact with each other. Convection is heat transfer usually between a
solid material and a liquid or gas. Conduction and convection are dependent on
physical contact between materials. Radiation is a process of heat transfer,
characteristic of all matter (at temperatures above absolute zero). Radiation
passes through a vacuum, and can also pass through gasses, liquids and even
solids.
Since radiative thermal heat transfer between objects is not conditional on
physical contact, and since all objects are constantly seeking a state of
thermal equilibrium, the total incident energy from any object is defined by the
Total Power Law:
|
(2)
|
 |
where
r = reflectance coefficient
a = absorbance coefficient
t = transmission coefficient.
The ability of an object to absorb radiation is also related to its ability
to emit radiation. This is defined by Kirchoff's law
|
(3)
|
 |
where
a = absorbance coefficient
e = emissive coefficient.
Therefore, when the infrared camera observes the thermal radiation from real
objects, part of what the infrared camera sees is reflected from the surface of
the object, part is emitted by the object and part may be transmitted through
the object. In our example of a steel part, the transmission is zero, but to the
degree that the part is reflective, it is less emissive and therefore real
objects will usually appear cooler than they actually are. Except when there is
something hotter in the vicinity since with opaque materials, the lower the
emissivity, the higher the reflectivity. The result in this case is materials
appearing hotter than they actually are. Let's examine some real objects to
illustrate these effects.
Applying Emissivity to Real Objects
In Figure 1b, not only is the fuse end cap temperature actually much hotter
than the 313 K (103.6 °F) that it appears, the hot spot above it is most
assuredly hotter than the 329 K (133.4 °F) that it appears.
So, how much hotter might it be? This fused power disconnect is electrically
energized, so let's conduct a simple experiment with a metal part that is not
electrically energized and therefore safe to experiment with. Be careful because
while this experiment may not be shocking, the results can really burn you if
you try to make measurements without knowledge. Infrared thermography is
predominantly practiced in the testing of electrical power distribution
equipment. This paper discusses the technical aspects of performing infrared
analysis, especially as it relates to predictive maintenance of electrical
equipment. All persons working on or around energized electrical equipment
should consult NFPA 70E for OSHA safety requirements (NFPA, 2002).
We have a round stainless steel block (Figure
2a). With this block sitting on
the bench at ambient temperature, we observe the block with our infrared camera
(Figure 2b). The metal appears to be 299 K (78 °F).
This would seem to be fairly accurate since the ambient temperature in the
room is also 299 K (78 °F). We can use a thermocouple to verify by contact that
the temperature of the steel actually is about 299 K (78 °F).
Now let's take this block and place it in a 353 K (175 °F) oven and bake it
for 3 h. We remove the block from the oven and test it with the infrared camera
(Figure
2c). The block appears to be only 308 K (94 °F). Using the
thermocouple, we measure the temperature and find that it is actually measured
at 350 K (170 °F).
How can the infrared camera appear accurate when the part is at room
temperature and be so wrong when the part is hot?
At room temperature, the block appears to be room temperature because the
block is primarily reflecting the thermal radiation from everything around it.
Since the ambient in the room is 299 K (78 °F), the reflection from the surface
of the block appears also to be 299 K (78 °F). When the same part is heated in
the oven, the part becomes much hotter than the surroundings, so the infrared
camera is able to see an increase in radiant energy, albeit much lower in
apparent temperature because of the low emissivity value of the surface. Let's
modify our experiment to better demonstrate what the infrared camera sees.
We take another stainless steel block and paint half of it with a flat black
paint (Figure 3a) and bake it another 3 h. When we remove the block from the
oven this time, the unpainted side still appears to be 308 K (94 °F) but the
infrared camera now indicates the painted sided to be 350 K (170 °F), fairly
matching the thermocouple reading Figure 3b). We can make a very good estimation
of the actual emissivity of this material by observing the unpainted surface
with our infrared camera and adjusting the emissivity value on the camera until
the reading matches the temperature observed on the painted side. In this case,
the emissivity is found to be approximately 0.15.
Emissivity Is a Cantankerous Variable
Emissivity varies according to surface condition as seen here, and also by
viewing angle, and even by temperature and by spectral wavelength. A table of
common emissivity values is almost certainly included in the operating manual
for your infrared camera. The table should be considered only a rough guide in
estimating an emissivity value to use with any particular material. If actual
temperature values are required, it is best to perform experiments as described
here, to properly characterize the emissivity for the material and its
application. The two most common techniques for estimating emissivity are the
application of a flat black high emissivity paint to the surface (as described
above) or the application of common black electrical tape to the material's
surface. Black electrical tape has an emissivity of approximately 0.96 and,
coupled with its low mass and strong adhesion properties, provides a very good
basis for the estimation of the actual emissivity of a material.
In this experiment we see that the difference between the apparent
temperature on the unpainted side and actual temperature is an error of 44 K (79
°F) degrees. If we were to conduct a similar experiment with a high temperature
infrared sensor operating at 8 to 14 µm (the same as our infrared camera) and
attempt to examine steel that is around 1370 K (2000 °F), the error between the
actual and apparent temperatures could be more than 220 K (400 µF).
Stefan-Boltzmann's law is valid when the full spectrum of radiant energy is
taken into consideration in the measurement. It is often useful to use a narrow
spectral band, which is near the wavelength of peak radiant energy of an object.
Wien's displacement law helps us determine the peak wavelength for an object at
a certain temperature.
| (4)
|
 |
where
= peak wavelength of radiant energy
b = 2897 µm/K
T = temperature (in Kelvin).
When you are working with high temperature materials, you can greatly reduce
the errors due to emissivity mismeasurement by selecting infrared detectors that
operate at narrow wavelength bands closer to the wavelength of peak radiant
energy. Planck's function is
| (5)
|
 |
where
= radiated energy at a given wavelength
= emissivity
T = absolute target temperature
= wavelength
h, c, K and e are various physical
constants.
While the math and physics necessary to prove this is beyond the scope of
this text, it can be used to demonstrate that by choosing an infrared sensor
with a wavelength band that corresponds with the wavelength of peak radiated
energy, such as one operating at 1 µm for this example, the maximum difference
we would observe between the 1370 K (2000 °F) actual and apparent temperatures
would be closer to 28 K (50 °F) without knowing the precise emissivity of the
material with better certainty.
To briefly summarize, temperature measurement without knowledge would result
in an error of more than 220 K (400 °F), while making the same measurement with
knowledge would result in our error being closer to 28 K (50 °F) and with no
better determination of the material's emissivity.
Emissivity, the Variable Variable
Back to our steel block example, let's discuss another very significant
phenomena. We will take our unpainted metal block and drill three holes in the
body. All three holes are 3.2 mm (0.125 in.) diameter. The first is 3.2 mm
(0.125 in.) deep, the second is 6.4 mm (0.25 in.) deep and the third is 9.5 mm
(0.375 in.) deep. Bake the block at 353 K (175 °F) for another 3 h, then remove
the block and observe it again with the camera (Figures 4a and
4b).
Interestingly, the block still appears to be 308 K (94 °F) and now appears
to have three hot spots. The 3.2 mm (0.125 in.) deep hole appears to be 319 K
(115 °F). The 6.4 mm (0.25 in.) deep hole appears to be 325 K (125 °F) and the
9.5 mm (0.375 in.) deep hole appears to be 333 K (140 °F).
We know that the metal block is truly soaked to 353 K (175°F) and the
surface finish is uniform and has an emissivity of approximately 0.15. The
reason the temperature appears to be higher in deeper holes is that a hole in a
body simulates a blackbody cavity. The better the simulation, the higher the
effective emissivity. By adjusting the emissivity on the camera to match the
actual temperature at each hole, we find that the emissivity appears to be 0.25
for the 3.2 mm (0.125 in.) deep hole. The emissivity of the 6.4 mm (0.25 in.)
deep hole appears to be 0.35 and the 9.5 mm (0.375 in.) deep hole appears to
have an emissivity of 0.45.
This is an extremely important effect. Let's look at another piece of
electrical equipment to see why this is so important to us.
Emissivity and Electrical Equipment
In Figure 5a, you see another power disconnect with the conductors bolted in
place using socket head bolts. The corresponding infrared image (Figure
5b)
shows a hot connection on the middle phase. Notice the apparent hot spot in the
hot socket head bolt. The well of the bolt head appears hotter primarily because
of the well, illustrating the blackbody effect of a hole.
In manufacturing processes, steel or aluminum rolls are often used to heat or
cool a material such as in paper or plastic film processing. These rolls are
usually polished metal surfaces and there is often a strong interest in
understanding the thermal profile since the manufacturing process is dependent
on thermal uniformity across the rolls. These rolls tend to be very difficult to
image with an infrared camera because they have very low emissivities. However,
there are often points where the material passes between two rolls. The tangent
point between two rolls also tends to simulate the blackbody effect, allowing
for effective temperature measurement in an otherwise difficult situation.
This effect is illustrated in common electrical equipment as well (Figure
6).
In this case, we have another power disconnect with knife blade switches. This
type of switch utilizes shiny metal blades and the proximity of the blades with
narrow gaps between them simulates the blackbody effect for greatly improved
effective emissivity.
The important message here is to begin to develop your understanding of
apparent and actual temperature measurement. Actual temperature measurement
requires an intimate understanding of physics, heat transfer and the
characteristics of materials.
Qualitative versus Quantitative Infrared Thermography
The difficulties with emissivity are not a barrier to the effective use of
infrared thermography for predictive and preventive maintenance. The practice of
infrared thermography for this purpose is guided by relevant ASTM standards for
conducting these tests. These standards describe the use of infrared cameras for
qualitative and quantitative infrared testing (ASTM, 2005).
Quantitative infrared tests are predicated on the determination of emissivity
of each component so that accurate temperature measurements are presented. This
practice is of somewhat questionable value. Predictive and preventive
maintenance using infrared thermography is often of greater value when practiced
using qualitative approaches. Qualitative approaches allow you to leave the
emissivity at 1.0 and evaluate the equipment on a relative basis. The basis for
the qualitative evaluation is that you are comparing similar equipment under
similar loads.
Looking back at Figures 1a and 1b, you can see that there is little value to
be gained in spending time estimating or debating the emissivity of the various
parts in the power disconnect. The value is in understanding that phase A is
hotter than phase B and C. In addition to realizing that a phase is hotter, it
is essential to measure the load of the three phases. Greater electrical load
inherently means more heat is present:
| (6)
|
 |
where
P = power in watts (heat)
I = current in amps
R = resistance in ohms.
Comparing Similar Equipment under Comparable Loads
The first rule of thermography in predictive maintenance is to compare
similar equipment under comparable loads. In electrical power distribution,
comparable equipment is usually the easy part since each electrical phase is
usually similar in materials to the phase next to it. Load is a very different
matter: it is not uncommon to find significant load imbalances. Figure 7 shows
an electrician measuring the electrical load.
So just observing that there is a hot spot does not indicate a problem. You
must measure the loads and determine if the presence of a thermal anomaly
indicates a problem. Infrared cameras do not identify thermal problems -
trained, knowledgeable, qualified people make educated assessments of equipment.
This leads to real value in preventive maintenance and reduced frequency of
equipment breakdowns.
Total Power Law
Emissivity cannot be discussed without due consideration also for all of the
components of the Total Power Law, as the three together (reflectance,
absorbance and transmission) constitute total incident radiance.
Infrared Is Not X-ray
First, let's establish that infrared cameras do not see through metal. It has
been a common practice by people who do not understand infrared thermography to
not remove covers from electrical panels for them to be tested. It is essential
for covers to be removed so that the infrared camera has a direct line of sight
of the equipment in order to provide a relevant infrared image of the equipment.
As noted previously, it is also necessary in order to have access for measuring
the loads for proper assessment.
Electrical power distribution systems include bus systems with bus plugs. The
bus plugs are often located overhead in generally inaccessible locations. It is
accepted practice to test this equipment from the ground without opening each
bus plug. This practice requires extensive training and experience and should be
performed only by qualified personnel such as certified Level II thermographers.
Let's examine an example of this application (Figure
8).
First we see the photograph of the overhead bus plug (Figure
8a). The
corresponding infrared image shows a small apparent temperature rise on the
upper left corner of the housing (Figure 8b). In practice, it is common to see
apparent hot spots, many of which are determined to be reflections from other
heat sources in the vicinity. In determining if a hot spot is a reflection, you
would observe the hot spot as you move around the object. A reflectance from the
surface will tend to follow your line of sight. A true hot spot will remain in a
fixed location, as this did.
Keep in mind that we are evaluating the interior of a piece of electrical
equipment based on an apparent temperature rise on the exterior of the
enclosure. If there is a problem, the hot spot will be produced as a result of
the radiant energy from the problem, since there is no conductive path (either
electrical or thermal) from the electrical equipment. We also have the low
emissivity issue of the surface of the bus and bus plug. Small apparent
temperature rises on this equipment can therefore indicate significant internal
problems.
When this bus plug was opened (Figure 9a), we found the fuse was so hot that
the metal had begun to fail (note the sagging fuse connection, middle left). The
infrared image (Figure 9b) indicated an apparent temperature in excess of 422 K
(300 °F). This was an imminent failure avoided by infrared testing.
Infrared Transmission
It is increasingly common for clear acrylic panels to be installed over
critical electrical connections inside panels and control cabinets. Just as
infrared cameras cannot see through the metal enclosures, infrared cameras
cannot see through acrylic. Acrylic covers, though clearly visible to the human
eye, are completely opaque to an infrared camera. When testing protected
electrical components such as these, it may be necessary for the electrician to
remove these protective acrylic panels so the equipment can be properly
examined.
One of the most difficult issues in infrared thermography is that the
spectral characteristics of materials are generally very different between
visible and infrared radiation. In everyday life you cannot see through walls,
if you want to look outside you look through a glass (or acrylic) window, and if
you want to see yourself, you look into a mirror. Infrared cameras fool people
because they do not behave the way people are accustomed to behaving with their
eyes. Infrared cameras generally cannot see through a glass or acrylic window -
these materials look very much like a wall in the infrared. Even a regular
mirror looks like a wall, not like a mirror. This is because the typical mirror
is actually glass with a reflective coating on the back surface. The infrared
camera never sees the reflective coating on the back because it can't see past
the front surface of the glass. Infrared mirrors are often referred to as front
surface mirrors, because the reflective coating is a highly reflective material
on the front surface of a material. Front surface infrared mirrors are often
used in process applications where it is not possible to obtain a direct line of
sight, so a mirror is used like a periscope to look around obstacles at points
of interest.
Thin Films - Complex Thermal Analysis
Compared to Planck's function, the Total Power Law looks simple and, in fact,
it is. The problem is its application in real life when a material's incident
radiance is shared among all three components.
This applies to thin film materials such as papers and plastics. These
materials illustrate complex thermal analysis applications because the spectral
constituents of the materials vary greatly and they have significant
transmissive as well as emissive and even reflective spectral components.
As infrared cameras become more affordable, companies often attempt to
justify their purchase on the basis that they can be used both for predictive
maintenance and for thermal evaluation of their products and manufacturing
processes. Paper and plastic manufacturers are especially vulnerable in this
regard. While there are thousands of possible examples, let's examine some
popular plastics to illustrate the complexities of thermal assessment of plastic
films in the manufacturing process.
The first property to deal with is the thickness of films. Generally, thinner
films are more transmissive while thicker films are less transmissive. In the
case where the objective is to examine the thermal uniformity across a web, the
issue is complicated partly by variations in thickness.
Acrylic and polyvinyl chloride are generally opaque in the infrared region.
Popular plastics in packaging, including the clear "blister pack" plastic
package, are visibly transparent, but completely opaque in the infrared.
Infrared cameras can, however, provide good thermal analysis of these in the
thermal forming process.
Polystyrene, polypropylene and polyester are fairly transmissive in the
infrared. But polystyrene and polypropylene are completely opaque at 3.43 µm,
while polyester is opaque at 7.95 µm. A common error is to attempt to thermally
image these plastics in process. The thermal imager does display some thermal
data. However, when viewed with 8 to 14 µm cameras, the data are confusing. You
may see the reflections of other parts of the process as the radiant energy
passes through the plastic and is reflected from the shiny metal rollers.
Some plastics, then, are opaque and some are transmissive. The transmissive
plastics are more transmissive when they are thin films and less transmissive as
they get thicker. At some thickness they will become opaque. However, these
transmissive plastics are very opaque at certain specific wavelengths and there
are special detectors and filters for infrared cameras that allow these
materials to be thermally analyzed.
Thermal analysis of thin films such as these requires extensive training and
experience and should be performed only by qualified personnel such as certified
Level II or Level III thermographers or qualified engineers.
Infrared Tricks of the Trade
One of the most popular plastic materials that you are familiar with is the
common black or dark green garbage bag. Professional thermographers will often
have a plastic garbage bag (along with a roll of black electrical tape) in the
infrared camera case because while these bags are completely opaque to the eye,
they are nearly completely transmissive to an infrared camera. Thermographers
will often use this plastic bag as a protective cover for their infrared camera
in inclement weather.
Summary
Predictive maintenance with an infrared camera can be effectively performed
by utilizing qualitative analysis of equipment. Qualitative techniques allow the
emissivity setting on the infrared camera to be kept at 1.0 and apparent
temperatures used for comparisons between similar equipment under similar load.
This type of basic analysis requires proper training to understand (and not be
misled) by the apparent thermal images produced by the infrared camera.
Quantitative infrared analysis refers to the attempt to measure actual
temperatures of materials using infrared thermography. Actual temperature
measurement involves more than simply adjusting for emissivity. Total incident
radiance requires dealing with the effect of reflection and transmission in
addition to emissivity.
Whether you are doing qualitative testing or a quantitative thermal analysis,
it is very important that it be done correctly. ASTM publishes standard
practices describing the process and procedure for performing infrared
inspections of electrical equipment, mechanical equipment, buildings, roofs and
much more. These standards are our road map to high quality work and meaningful
results.
Today's infrared cameras are becoming increasingly affordable and easy to
use. But what does easy mean? The practice of infrared thermography looks
straightforward and simple, but it is not. It takes a truly trained eye to
understand the thermal image displayed by an infrared camera. It is much like
most endeavors in life: the more you learn, the more you discover there is to
learn.
Acknowledgment
An earlier version of this article was published as an application note by
the Fluke Educational Partnership Program.
References
ASNT, Nondestructive Testing Handbook, third edition: Volume 3, Infrared and
Thermal Testing, Columbus, Ohio, American Society for Nondestructive Testing,
2001.
ASTM, ASTM E 1934: Standard Guide for Examining Electrical and Mechanical
Equipment with Infrared Thermography, West Conshohocken, Pennsylvania, ASTM
International, 2005.
NFPA, NFPA 70E: Standard for Electrical Safety in the Workplace, Quincy,
Massachusetts, National Fire Protection Association, 2002.