Temperature/pressure compensation (tpc) – Teledyne 9110E - Nitrogen Oxides Analyzer User Manual
Page 205
Model 9110E Instruction Manual
Theory of Operation
M9110E Rev B
191
10.4.3. Temperature/Pressure Compensation (TPC)
The software features a compensation of some temperature and pressure changes critical in
the measurement of NO and NO
X
concentration. When the TPC feature is enabled (default
setting), the analyzer divides the value of the PMT output signal (PMTDET) by a value
called TP_FACTOR. TP_FACTOR is calculated according to the following equation.
⎥
⎦
⎤
⎢
⎣
⎡
Ч
⎥
⎦
⎤
⎢
⎣
⎡
Ч
⎥
⎦
⎤
⎢
⎣
⎡
Ч
⎥
⎦
⎤
⎢
⎣
⎡
=
)
(
)
(
)
(
(
)
(
)
(
7
)
(
)
(
_
K
298
K
TEMP
BOX
D
Hg
in
29.92
Hg
in
SAMP
C
Hg
in
RCEL
Hg
in
B
K
323
K
TEMP
RCELL
A
FACTOR
TP
Eq 10-5
Where A, B, C, D are gain functions. The four parameters used to compute TP_FACTOR are:
• RCELL TEMP: The temperature of the reaction cell, measured in K.
• RCEL: The pressure of the gas in the vacuum manifold, measured in in-Hg-A.
• SAMP: The pressure of the sample gas before it reaches the reaction cell, measured
in in-Hg-A. This measurement is ~1 in-Hg-A lower than atmospheric pressure.
• BOX TEMP: The temperature inside the analyzer’s case measured in K. This is
typically about 5 K higher than room temperature.
The current value of all four of these measurements are viewable as TEST FUNCTIONS
through the instrument’s front panel display.
Note that, as RCEL TEMP, BOX TEMP and SAMP pressure increase, the value of
TP_FACTOR increases and, hence, the PMTDET value decreases. Conversely, increases in
the reaction cell pressure (RCEL) decrease TP_FACTOR and, hence increase the PMTDET
value. These adjustments are meant to counter-act changes in the concentrations caused
by these parameters.
Each of the terms in the above equation is attenuated by a gain function with a numerical
value based on a preset gain parameter (shown below in CAPITALIZED ITALICS) normalized
to the current value of the parameter being attenuated. The gain functions A, B, C and D
are defined as:
]
_
_
)
1
)
(
323
)
(
_
[(
1
GAIN
TPC
RCTEMP
K
K
temp
rcell
A
×
−
+
=
Eq 10-6
]
_
_
)
1
)
("
_
)
("
7
[(
1
GAIN
TPC
RCPRESS
Hg
pressure
rcell
Hg
B
×
−
+
=
Eq 10-7
]
_
_
)
1
)
(
323
)
(
_
[(
1
GAIN
TPC
SPRESS
K
K
temp
rcell
C
×
−
+
=
Eq 10-8
]
_
_
)
1
)
(
298
)
(
_
[(
1
GAIN
TPC
BXTEMP
K
K
temp
box
D
×
−
+
=
Eq 10-9
The preset gain parameters are set at the factory and may vary from analyzer to analyzer.
Section 6.5 describes the method for enabling/disabling the TPC feature.