Variable Area Flow Meter

-Measuring accuracy of variable area flow meters-

About the page

This is an information page about flow measurement with variable area flowmeters. My many years of experience in the field of measurement and control technology are recorded here. I accept no liability for incorrect information or errors and would be pleased to receive further suggestions and requests for additions.
Please also visit my information page about Pt100 temperature sensors:
https://pt100.de

Dipl.-Ing. Harald Peters

Suppliers

Links to selected flow meter manufacturers and suppliers.

Measuring accuracy according to VDI/VDE 3513-2

The measuring error of variable area flowmeters greater in the lower measuring range than in the upper measuring range due to the design. A statement of the measuring accuracy according to VDI/VDE 3513-2 provides the user with information comparable to other devices, which nevertheless takes into account this measuring error dependent on the measured value.
The specifications of the measuring accuracy of variable area flowmeterspresuppose that the devices are installed and operated exactly as specified. The fluid to be measured must correspond exactly to the data specified during calibration (density, viscosity, temperature, pressure, etc.).
The measuring accuracy stated by the manufacturer usually refers to the measuring device alone. An additional error must be taken into account for electrical attachments or other accessories.

The new version - error limit, linearity limit
In the new version of VDI/VDE 3513-2 (from 2008), an attempt was made to simplify the existing calculation recommendation.
The following error specifications were defined, which should be specified by the manufacturer.
  • Error limit value [G]
    The error limit is the maximum deviation of the measured value above the linearity limit. It is given as a percentage.
  • Linearity limit [qG]
    Above the linearity limit, the maximum deviation of the measured value remains constant. The linearity limit is given as a percentage of the full scale value. The error of the measured value below the linearity limit is greater than the limit value and can be calculated with the formula below.

F% = G * qG / q%

F% = Relative measurement error (i.e. error per measured value in %)
G= Error limit value
qG=Linearity limit in %
q% = Measured value in % of full scale

Example:
Manufacturer's specification: limit value 2.5%, linearity limit 50%.
Measured value: 30% of the final value
The calculated error (F%) at the measured value results in:
F% = 2,5% * 50% / 30%
F% = 4,166 %

In addition to the limit value and linearity limit, the manufacturer often provides diagrams from which the deviation from the measured value can be quickly read.

Diagram for varable area flowmeter error limit acc. VDI/VDE

Old version - Accuracy classes
The accuracy of variable area flowmeters is given in a dimensionless number, the accuracy class. This is the sum of 2 partial errors and is calculated according to VDI/VDE 3413-2.

  • Partial error 1: ¾ of the accuracy class in % of the measured value.
  • Partial error 2: ¼ of the accuracy class in % of the full scale value.

The following formula can be used to convert the deviation in flow units for each measured value.

QErr = (3/4 * QMeas + 1/4 * QMax) * F / 100

QErr = Deviation of the flow meter from the measured value (in flow units)
QMeas = Full scale value of the flow meter (in flow units)
QMax = Measured value of the flow meter (in flow units)
F = Accuracy class (dimensionless)
(Flow units e.g. L/min,, m3/h usw.)

Deviation from the measured value for different accuracy classes:

Table comparison accuracy classes

Other accuracy specifications

In addition to the accuracy specification according to VDI/VDE, some manufacturers also specify the accuracy as a percentage deviation from the measuring range end value (% of ME or % FS). This is often the case with less accurate measuring devices.
More accurate devices also state the percentage of the measured value (% of MW).

Comparison of the different accuracy specifications:

Table error measured value with different accuracy specifications

Repeatability

BIn many industrial processes, the reproducibility of the devices is important in addition to measuring accuracy.
Reproducibility means that the measuring device delivers the same measurement results under constant conditions, with repeated measurements.
A reproducibility of 90% means that when measurements are repeated under the same conditions, 90% of the measured values are within an acceptable range around the average value of the measurements.
This gives an indication of the reliability of the device: the higher the reproducibility, the more consistent the measurement results. /p>

Additional measuring errors

The accuracy values specified by the manufacturer in the data sheets are accuracies which are valid under the specified standard conditions of the unit, such as pressure, temperature, properties of the fluid, etc. Particularly in the case of prolonged use of the devices and harsh operating conditions, the practical accuracies can deviate from these.

What affects the measurement accuracy:

Calibration of variable area flowmeters

In ISO 9000 ff certified companies, it is stipulated that variable area flowmeters used in industrial processes must be regularly maintained and calibrated.
The frequency of calibration is determined by the system operator.
Calibration can be carried out by the manufacturer or by an independent certified calibration laboratory, e.g. company TrigasFI.