﻿ How to Calculate Transmitter Performance and Calibration Frequency?
Home » How to Calculate Transmitter Performance and Calibration Frequency?
Instrumentation Design

# How to Calculate Transmitter Performance and Calibration Frequency?

The overall performance of the transmitter is defined by the Total Probable Error (TPE).

TPE is the accuracy of the instrument in installed/actual conditions.

## Transmitter Calibration Frequency TPE is made up of four things:

#### 1. Reference accuracy

This is to be calculated at calibrated Span.

#### 2. Ambient temperature effects

Transmitters are factory calibrated at room temperature. If a transmitter operates at a different ambient temperature, the electronics perform differently, and a measurement error may result.)

#### 3. Line Pressure Effects

Line pressure effect errors occur when diaphragms are altered under static pressure. Normally Manufacturers will define the performance affected due to every 1000 PSIG pressure changes.

There is zero and span effect due to static Line pressure. some vendor claims that zero effect can be eliminated by Zero Trim when it is performed under static pressure condition.

4. Some manufacturer defines Transmitter performance is affected by Overpressure up to 250 bar.

If the performance does not meet the minimum requirements, then the transmitter might not be a good fit for the application.

The below sample calculation performed to arrive Total probable error (0.1%FS) in the transmitter which is around 2.5 times degraded than reference accuracy (0.04% FS).

Another important term, Stability, is a transmitter’s change in output given at fixed input as a function of time. Better long-term stability results in the reduction of periodic Calibration /maintenance and repairs,  which leads to the reduced total cost of ownership.

Case study on Transmitter Accuracy and its stability which will ultimately guide to required calibration frequency.

The intention of this study is not to demonstrate which brand is better, but to educate the fundamental calculation, transmitter performance, and ultimately calibration frequency.

#### Example:

We use the below specifications for three different make transmitters to calculate their overall performance and calibration frequency interval.

• Differential Pressure Range: 0-100 inH2O
• Ambient Temperature range: 40 to 90 oF, Delta is 50 oF
• Line Static Pressure: 1000 PSIG
• Acceptable performance: 0.3% of Span

We have to calculate five factors to determine transmitters’ performance, they are.

1. Reference Accuracy of Calibrated Span (E1)

2. Ambient Temperature Effects on Transmitter (E2)

3. Static Pressure Effects (E3)

4. OverPressure Effects (E4)

5. Stability (E5)

So, we have to calculate these five factors for each transmitter make then only we can find their performance.

## Yokogawa Transmitter [EJX110A] Calibrated Span 100 inH2O

URL is 400 inH2O

### Reference Accuracy of Calibrated Span E1 = 0.04*100%

E1 = 0.04 inH2O

### Ambient Temperature Effects on Transmitter E2 = ± (0.04*100% + 0.009*400%)

E2 = ± 0.076 inH2O

### Static Pressure Effects E3 = ± 0.075*100%

E3 = ± 0.075 inH2O

### OverPressure Effects E5 = ± 0.03*400%

E5 = ± 0.12 inH2O

### Stability Stability per month = 0.1%*400/(15*12)

Stability per month = ± 0.002222 inH2O

Stability per month = ± 0.002222 %of Span

### Total Probable Error (TPE) TPE = SQRT((0.04)^2+(0.076)^2+(0.075)^2)

TPE = 0.114022 inH2O

TPE = 0.114022 %of Span

Zero Error on static line pressure effect is not included.

### Calibration Frequency Calibration frequency = (0.3 – 0.114022) / 0.002222

Calibration frequency = 83.69847 Months

Calibration frequency = 6.974872 Years

### Total Accuracy TA = SQRT((0.04)^2+(0.076)^2+(0.075+0.08)^2+(0.12)^2)

TA = 0.214012 inH2O

TA = 0.214012 %of Span

Zero Error on static line pressure effect & Overpressure effects is included.

Similarly, calculate these factors for another two different transmitters.

## Emerson Transmitter [3051CD] Calibrated Span 100 inH2O

URL is 250 inH2O E1 = 0.04 inH2O

E1 = 0.04*100% E2 = 0.0125*250% + 0.0625*100%

E2 = 0.09375 inH2O E3 = 0.1*100%

E3 = 0.1 inH2O

E4 = 0.05*250%

E4 = 0.125 inH2O Stability per month  = 0.2%*250/(10*12)

Stability per month  = 0.004167 inH2O

Stability per month  = 0.004167 %of Span TPE = SQRT((0.04)^2+(0.09375)^2+(0.1)^2)

TPE = 0.14279 inH2O

TPE = 0.14279 %of Span

Zero Error on static line pressure effect is not included.

Calibration frequency = (0.3 – 0.14279) / 0.004167

Calibration frequency = 37.72738 Months

Calibration frequency = 3.143948 Years

There is no data available for an Overpressure effect on Transmitter performance.

3051S model has better accuracy and stability than 3051 Models

## Honeywell Transmitter [STD800] Calibrated Span 100 inH2O

URL is 400 inH2O E1 = 0.0375*100%

E1 = 0.0375 inH2O E2 = (0.025 + 0.007(400/100))

E2 = 0.053 inH2O

E3 = (0.08 + 0.007(400/100))

E3 = 0.108 inH2O Stability per month = 0.01%*400/(15*12)

Stability per month = 0.000222 inH2O

Stability per month = 0.000222 %of Span TPE = SQRT((0.0375)^2+(0.053)^2+(0.108)^2)

TPE = 0.126013 inH2O

TPE = 0.126013 %of Span

It seems that Zero Error on static line pressure effect is not included.

Calibration frequency = (0.3 – 0.126) / 0.0002

Calibration frequency = 870 Months

Calibration frequency = 72.5 Years

Recommended frequency 4 Years

There is no data available for Overpressure effect on Transmitter performance

STD700 model has degraded accuracy and stability than STD800 Models

STD700 series model recommended calibration frequency is 2 Years

#### Conclusion:

We determined the transmitter performance factors for different makes, and we can choose based on the results.

Author: Jatin Katrodiya