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Temperature/pressure compensation (tpc) – Teledyne 9110E - Nitrogen Oxides Analyzer User Manual

Page 205

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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.