Campbell Scientific CR10 CR10 Measurement and Control - Page 180

Campbell Scientific CR10 Manual

Page 180 highlights

SECTION 13. CRlO MEASUREMENTS 0.5 0.4 3 0.3 _ac -(lLo 0.2 | 0.1 q, ofv a o-n1 O o-n1 L "'L LJ -0.4 -0.5 -40 -30 -20 -10 0 10 20 30 Actuol Temperoture (C) 50 60 FIGURE 13.4-1. Thermistor Polynomial Error When both junctions of a thermocouple are at the same temperature, there is no voltage produced (law of intermediate metals). A consequence of this is that a thermocouple cannot have an offset error; any deviation from a standard (assuming the wires are each homogeneous and no secondary junctions exist) is due to a deviation in slope. ln light of this, the fixed temperature limits of error (e.9., +1.0"C for type T as opposed to the slope error of 0.75o/o of the temperature) in the table above are probably greater than one would experience when considering temperatures in the environmental range. In other words, the reference junction, at 0"C, is relatively close to the temperature being measured, so the absolute error (the product of the temperature difference and the slope error) should be closer to the percentage error than the fixed error. Likewise, because thermocouple calibration error is a slope error, accuracy can be increased when the reference junction temperature is close to the measurement temperature. For the same reason, differential temperature measurements, over a small temperature gradient, can be extremely accurate. In order to quantitatively evaluate thermocouple error when the reference junction is not fixed at 0"C, one needs limits of error for the Seebeck coefficient (slope of thermocouple voltage vs. temperature curue) for the various thermocouples. Lacking this information, a reasonable approach is to apply the percentage errors, with perhaps O.25To added on, to the ditference in temperature being measured by the thermocouple. ACCURACY OF THE THERMOCOUPLE VOLTAGE MEASUREMENT The accuracy of a CR10 voltage measurement is specified as 0.2"h (0.1% 0 to 40'C) of the full scale range being used to make the measurement. The actualaccuracy may be better than this as it involves a slope error (the error is proportionalto the measurement being made though limited by the resolution). The error in the temperature due to inaccuracy in the measurement of the thermocouple voltage is worst at temperature extremes, where a relatively large scale is necessary to read the thermocouple output. For example, assume type K (chromel-alumel) thermocouples are used to measure temperatures at 600"C. The TC output is on the order of 24.9 mV, requiring the +25 mV input range. The accuracy specification ol 0.1"/" FSR is 25 uV which is a temperature error of about 0.60'C. In the environmental temperature range with voltage measured on an appropriate scale, error in temperature due to the voltage measurements is a few hundredths of a degree. 13-14

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10
  • 11
  • 12
  • 13
  • 14
  • 15
  • 16
  • 17
  • 18
  • 19
  • 20
  • 21
  • 22
  • 23
  • 24
  • 25
  • 26
  • 27
  • 28
  • 29
  • 30
  • 31
  • 32
  • 33
  • 34
  • 35
  • 36
  • 37
  • 38
  • 39
  • 40
  • 41
  • 42
  • 43
  • 44
  • 45
  • 46
  • 47
  • 48
  • 49
  • 50
  • 51
  • 52
  • 53
  • 54
  • 55
  • 56
  • 57
  • 58
  • 59
  • 60
  • 61
  • 62
  • 63
  • 64
  • 65
  • 66
  • 67
  • 68
  • 69
  • 70
  • 71
  • 72
  • 73
  • 74
  • 75
  • 76
  • 77
  • 78
  • 79
  • 80
  • 81
  • 82
  • 83
  • 84
  • 85
  • 86
  • 87
  • 88
  • 89
  • 90
  • 91
  • 92
  • 93
  • 94
  • 95
  • 96
  • 97
  • 98
  • 99
  • 100
  • 101
  • 102
  • 103
  • 104
  • 105
  • 106
  • 107
  • 108
  • 109
  • 110
  • 111
  • 112
  • 113
  • 114
  • 115
  • 116
  • 117
  • 118
  • 119
  • 120
  • 121
  • 122
  • 123
  • 124
  • 125
  • 126
  • 127
  • 128
  • 129
  • 130
  • 131
  • 132
  • 133
  • 134
  • 135
  • 136
  • 137
  • 138
  • 139
  • 140
  • 141
  • 142
  • 143
  • 144
  • 145
  • 146
  • 147
  • 148
  • 149
  • 150
  • 151
  • 152
  • 153
  • 154
  • 155
  • 156
  • 157
  • 158
  • 159
  • 160
  • 161
  • 162
  • 163
  • 164
  • 165
  • 166
  • 167
  • 168
  • 169
  • 170
  • 171
  • 172
  • 173
  • 174
  • 175
  • 176
  • 177
  • 178
  • 179
  • 180
  • 181
  • 182
  • 183
  • 184
  • 185
  • 186
  • 187
  • 188
  • 189
  • 190
  • 191
  • 192
  • 193
  • 194
  • 195
  • 196
  • 197
  • 198
  • 199
  • 200
  • 201
  • 202
  • 203
  • 204
  • 205
  • 206
  • 207
  • 208
  • 209
  • 210
  • 211
  • 212
  • 213
  • 214
  • 215
  • 216
  • 217
  • 218
  • 219
  • 220
  • 221
  • 222
  • 223
  • 224
  • 225
  • 226
  • 227
  • 228
  • 229
  • 230
  • 231
  • 232
  • 233
  • 234
  • 235
  • 236
  • 237
  • 238

SECTION
13.
CRlO
MEASUREMENTS
0.5
0.4
3
0.3
_c
a
-o
0.2
l
(L
|
0.1
q,
fv
o
a
o-n1
O
o-n1
L
"'-
L
LJ
-0.4
-0.5
-40
60
50
-30
-20 -10
0
10
20
30
Actuol Temperoture
(C)
FIGURE
13.4-1. Thermistor Polynomial Error
When both
junctions
of
a
thermocouple
are
at
the
same temperature,
there
is
no
voltage
produced
(law of intermediate
metals).
A consequence of
this
is
that
a
thermocouple
cannot
have an
offset
error; any deviation from a
standard
(assuming
the
wires are
each
homogeneous and
no
secondary
junctions
exist)
is
due
to
a
deviation
in
slope.
ln
light
of
this, the fixed
temperature
limits of
error
(e.9., +1.0"C for type T as opposed
to
the
slope
error of
0.75o/o
of
the
temperature)
in
the table
above are probably greater than one would
experience when considering
temperatures
in
the
environmental
range.
In
other words,
the
reference
junction,
at
0"C,
is relatively close to the
temperature being measured, so
the
absolute
error
(the product of the temperature difference and
the
slope error) should be closer to
the
percentage
error than the
fixed
error.
Likewise, because
thermocouple calibration
error
is
a slope error,
accuracy can be increased when
the
reference
junction
temperature
is
close to
the
measurement
temperature.
For
the same
reason, differential
temperature measurements,
over
a
small
temperature gradient,
can
be extremely accurate.
In
order to quantitatively evaluate thermocouple
error when
the
reference
junction
is
not
fixed
at
0"C,
one
needs limits of error for
the
Seebeck
coefficient
(slope
of
thermocouple voltage vs.
temperature curue) for the various
thermocouples.
Lacking
this
information,
a
13-14
reasonable approach
is
to apply
the
percentage
errors,
with
perhaps
O.25To
added on, to
the
ditference
in
temperature
being measured by
the thermocouple.
ACCURACY
OF THE
THERMOCOUPLE
VOLTAGE
MEASUREMENT
The accuracy of a CR10
voltage
measurement
is specified as 0.2"h (0.1%
0
to
40'C)
of the full
scale
range being used
to
make
the
measurement.
The
actualaccuracy
may
be
better than this
as
it involves a slope
error
(the
error
is
proportionalto the
measurement being
made
though
limited
by
the resolution).
The
error
in
the temperature due
to
inaccuracy
in
the
measurement
of
the thermocouple
voltage
is
worst at temperature extremes, where
a
relatively large scale is necessary
to
read
the
thermocouple
output.
For example, assume
type
K (chromel-alumel) thermocouples are
used
to
measure
temperatures
at
600"C.
The
TC
output
is
on
the order of
24.9
mV, requiring
the +25 mV input
range.
The accuracy
specification
ol
0.1"/" FSR
is
25
uV
which
is a
temperature error
of
about
0.60'C.
In
the
environmental
temperature
range with voltage
measured on an appropriate scale,
error
in
temperature due to the
voltage
measurements
is a
few
hundredths of a degree.