Calibration Test Points Calculator: LRV, URV and Test Point Calculation

Calibrating instruments is a crucial aspect of ensuring accurate and reliable measurements in various industrial applications. To facilitate this process, a Calibration Test Points Calculator can be a valuable tool, helping technicians and engineers determine specific test points for the calibration of  transmitters within a given range. In this guide, we’ll explore how to use such a calculator, including input definitions, formulas, and an example calculation.

Use this calibration test points calculator to determine equally spaced calibration values from the Lower Range Value, Upper Range Value, and required number of test points. The calculator can be used for pressure, temperature, level, flow and other linear measuring instruments.

Enter the LRV, URV and number of calibration points to generate the required test values for instrument calibration and linearity checking.

Online Calibration Test Points Value Calculator

The Calibration Test Points Calculator requires three key input parameters:

This is the lower limit of the instrument’s set range. For instance, if the pressure transmitter’s pressure range is from 100 psi to 200 psi, the LRV would be 100 psi.

This represents the upper limit of the instrument’s set range. In our example, it is 200 psi.

To calculate the test points, two formulas are employed:

This is determined by dividing the difference between URV and LRV by the specified number of test points minus 1. 

The formula is ?TP = (URV – LRV) / (N – 1).

where N is the number of test points (5 in the case of 5 point calibration).

The actual test points are then calculated using the formula 

TPV = LRV + (i – 1) × ?TP

where i represents each test point from 1 to 5 for 5 point calibration.

Let’s illustrate this with a practical pressure transmitter example:

LRV: 100 psi

URV: 200 psi

N: 5 (number of test points)

Using the formulas:

Calculate ?TP:

?TP = (200 – 100) / (5 – 1) = 25 psi

Calculate Test Points (TPV):

The five test point values are

At 0%

TPV1 = 100+(1?1)×25=100 psi

At 25%

TPV2 = 100+(2?1)×25=125 psi

At 50%

TPV3 = 100+(3?1)×25=150 psi

At 75%

TPV4 = 100+(4?1)×25=175 psi

At 100%

TPV5 = 100+(5?1)×25=200 psi

Test PointPercentagePressure
Point 10%100 psi
Point 225%125 psi
Point 350%150 psi
Point 475%175 psi
Point 5100%200 psi

The calculated test points for the specified pressure range (100 to 200 psi) of the pressure transmitter with 5 test points are 100 psi, 125 psi, 150 psi, 175 psi, and 200 psi.

When calibration points are expressed as percentages of span, the corresponding process value can be calculated using:

Test Point Value = LRV + [(Percentage ÷ 100) × Span]

Since:

Span = URV − LRV

Calibration PointPercentage
Zero point0%
Low midpoint25%
Midpoint50%
High midpoint75%
Full scale100%

The below online calculator is used to calculate the Calibration Test Points. 

Enter the Lower Range Value, Upper Range Value, and number of test points to calculate equally spaced calibration test values.

Calibration test points are predefined values used to check an instrument at different points across its calibrated measurement range. The measured instrument output is compared with a reference standard at each test point to evaluate accuracy, linearity and repeatability.

Common transmitter calibration checks use points such as 0%, 25%, 50%, 75% and 100%, although the number and distribution of test points can vary according to the instrument, procedure and applicable requirements.

LRV stands for Lower Range Value. It is the lower endpoint of the configured measurement range of an instrument.

For example, if a pressure transmitter is ranged from 0 to 10 bar, the LRV is 0 bar. If the transmitter is ranged from 2 to 10 bar, the LRV is 2 bar.

LRV should not automatically be assumed to be zero. The actual LRV must be obtained from the instrument configuration, datasheet, calibration record, or approved engineering documentation.

URV stands for Upper Range Value. It is the upper endpoint of the configured measurement range of an instrument.

For example, a transmitter ranged from 0 to 10 bar has a URV of 10 bar, while a transmitter ranged from 2 to 10 bar also has a URV of 10 bar.

The calibration span is determined from the difference between URV and LRV.

Calibration span is the difference between the Upper Range Value and Lower Range Value.

Span = URV − LRV

For example, if LRV is 100 psi and URV is 200 psi:

Span = 200 − 100 = 100 psi

The Calibration Test Points Calculator provides a quick way to generate equally spaced reference values from the instrument LRV, URV and required number of test points. It can be used for pressure, temperature, level, flow and other linear instrumentation applications.

Use the calculated values together with an appropriate calibration standard, approved procedure and specified tolerance to perform systematic calibration and verification. For complete calibration analysis, combine the test point calculation with error, accuracy and pass or fail calculations.

Calibration test points are predefined reference values used to check an instrument across its measurement range.
They allow the instrument output to be compared with known reference values at multiple points.

Use Test Point Interval = (URV − LRV) ÷ (N − 1) to determine the spacing between equally distributed points.
Then start at the LRV and add the interval for each successive test point.

A common five point sequence is 0%, 25%, 50%, 75% and 100% of the calibrated span.
The actual values depend on the instrument LRV and URV.

LRV means Lower Range Value and represents the lower endpoint of the configured instrument range.
For a transmitter ranged from 2 to 10 bar, the LRV is 2 bar.

URV means Upper Range Value and represents the upper endpoint of the configured instrument range.
For a transmitter ranged from 2 to 10 bar, the URV is 10 bar.

LRV is the lower endpoint and URV is the upper endpoint of the instrument range.
The difference between them determines the calibration span.

The calibration span is calculated using Span = URV − LRV.
For a range of 100 to 200 psi, the span is 100 psi.

Common points include 0%, 25%, 50%, 75% and 100% for a five point calibration.
Other procedures may specify three point, ten point or different test sequences.

For a standard linear transmitter, 0%, 25%, 50%, 75% and 100% correspond to 4, 8, 12, 16 and 20 mA.
The corresponding process values depend on the transmitter LRV and URV.

Ascending calibration applies the reference input from the lower range toward the upper range.
For five points, the sequence is commonly 0%, 25%, 50%, 75% and 100%.

Descending calibration applies the reference input from the upper range toward the lower range.
For five points, the sequence is commonly 100%, 75%, 50%, 25% and 0%.

The required number depends on the approved calibration procedure, instrument specification and applicable quality requirements.
The calculator allows the selected number of points to be mathematically distributed across the configured range.

A calibration point is an actual reference value being tested, while an interval is the distance between two adjacent points.
For N test points, there are normally N minus 1 equal intervals between the endpoints.

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