3 compenration, 3 compensation – Yokogawa Single Channel Oxygen Analyzer System ZR22/ZR402 User Manual

Page 144

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IM 11M13A01-02E

9-3

9. Calibration

9.1.3

Compensation

The deviation of a measured value from the theoretical cell electromotive force is
checked by the method in Figure 9.2 or 9.3.

Figure 9.2 shows a two-point calibration using two gases: zero and span. Cell electromo-
tive forces for a span gas with an oxygen concentration p1 and a zero gas with an
oxygen concentration p2 are measured while determining the calibration curve passing
between these two points. The oxygen concentration of the measurement gas is deter-
mined from this calibration curve. In addition, the calibration curve corrected by
calibration is compared with the theoretical calibration curve for determining the zero-
point correction ratio represented by B/A

ϫ 100 (percent) on the basis of A, B and C

shown in Figure 9.2 and a span correction ratio of C/A

ϫ 100 (percent). If the zero-

point correction ratio exceeds the range of 100

Ϯ 30 percent or the span correction ratio

becomes larger than 0

Ϯ 18 percent, calibration of the sensor becomes impossible.

21.0

p1

p2

0.51

81.92

ez

e2

e1

es

0

C

A

B

Zero-point correction factor = (B/A) x 100 (percent) Correctable range: 100

±

30 percent

Span correction factor = (C/A) x 100 (percent) Correctable range: 0

±

18 percent

Cell
electromotive
force, mV

Calibration curve
before correction

Corrected calibration
curve (theoretical
calibration curve)

Zero origin

Span-gas concentration

Zero-gas concentration

Span origin

Oxygen concentration (percent oxygen by volume)

F9.2E.EPS

Figure 9.2 Calculation of a Two-point Calibration Curve and Correction Factors

using Zero and Span Gases

Figure 9.3 shows a one-point calibration using only a span gas. In this case, only the cell
electromotive force for a span gas with oxygen concentration p1 is measured. The cell
electromotive force for the zero gas is carried over from a previous measurement to
obtain the calibration curve. The principle of calibration using only a span gas also
applies to the one-point calibration method using a zero gas only.

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