### 1. Determining the System Error of the Switch System

To determine the system error for the NI PXI-2527/TB-2627 (or any other switch), first calculate the error due to thermal EMF of the NI PXI-2527 using the following equation.

*E*= error due to thermal EMF of the NI PXI-2527_{EMF}*T*= temperature being measured, in degrees Celsius*T*=_{+1}*T*+ 1 °C*V*= voltage that corresponds to*T**V*= voltage that corresponds to_{+1}*T*_{+1}*V*= thermal EMF of the NI PXI-2527_{EMF}

* In thermocouple reference tables, *T* and *T _{+1}* are known values used to calculate the slope of the thermocouple Temperature

*vs*. Voltage graph. Refer to a thermocouple reference table to determine the values of

*V*and

*V*that correspond to

_{+1}*T*and

*T*,, respectively.

_{+1}The thermal EMF of the NI PXI-2527 is specified in two different ways: a typical value and a maximum value. The typical value for the PXI-2527 is 2.5 µV, and the maximum value is < 12 µV. For optimal thermocouple performance (V

_{EMF}= 2.5 µV), it is necessary to power down the latching relays of the NI PXI-2527. For more information on powering down latching relays, refer to the “Power Down Latching Relays After Debounce” property in the NI-SWITCH driver documentation or the “Power Down Latching Relays After Settling” property in the NI-DAQmx driver documentation. The maximum thermal EMF property is reflective of power active to the latching relays over the full temperature range of the switch module (0-55 °C).

After you have determined the error due to thermal EMF, calculate the system error using the following equation.

*E*= system error of the NI PXI-2527/TB-2627_{S}*E*= error due to thermal EMF of the NI PXI-2527_{EMF}*E*= error due to CJC temperature sensor of the NI TB-2627**_{CJC}

** From 15 °C to 35 °C, the NI TB-2627 CJC has an accuracy of ±0.5 °C. From 0 °C to 15 °C and 35 °C to 55 °C, the NI TB-2627 has an accuracy of ±1.0 °C. For more information about temperature sensor accuracy, refer to the *NI TB-2627 Installation Instructions*.

**Note:** For extremely high accuracy requirements, it is possible to use an external CJC sensor with even higher-accuracy capability (often as low as 0.1 °C). The manufacturers listed below provide external references that could be used with the PXI-2527 to lower the CJC component of the total system error.

See Also:

GE Kaye Uniform Temperature References

Scanivalve Passive Uniform Temperature Reference

### 2. Example - Error Contributed by the PXI-2527/TB-2627

Measuring a K-type thermocouple at 200 °C with a CJC temperature of 25 °C, the system error of the NI PXI-2527/TB-2627 is calculated below.†

Assuming typical thermal EMF (2.5 µV), first calculate the error due to thermal EMF using Equation 1.

To determine the system error, add the error due to thermal EMF to the error due to the CJC temperature sensor using Equation 2.

† In this example, the values of *V* and *V _{+1}* are found in the thermocouple reference tables of Omega Engineering’s

*The Temperature Handbook*. Vol. 29. Stamford, CT: Omega Engineering Inc, 1995.

This answer provides the key value for the error introduced by the switching system. In a thermocouple measurement system, though, this error is only a portion of the total error. We must also take into account the error introduced by the thermocouple itself - a value that is usually much larger than the switch error.

### 3. Example - Error Contributed by the Thermocouple

Independent of the NI PXI-2527/TB-2627 system, thermocouple error is the greater of the following values: ± a temperature range *or* ± a percent of the measurement.

In this example, a standard grade K-type thermocouple is used to measure 200 °C. The error for a standard grade K-type thermocouple is ±2.2 °C *or* ±0.75% of the measurement temperature.‡ Because ±0.75% of 200 °C (±1.5 °C) is less than ±2.2 °C, **the error of a standard grade K-type thermocouple is ±2.2 °C.**

‡ Omega Engineering. *The Temperature Handbook*. Vol. 29. Stamford, CT: Omega Engineering Inc, 1995.

### 4. Determining the Total Error

The total error in thermocouple measurement is the sum of the system error and the thermocouple error. Use the following equation to determine the total error in thermocouple measurement.

*E*= total error in thermocouple measurement_{T}*E*= system error_{S}*E*= thermocouple error_{Th}

To determine the total error for the thermocouple measurement in this example, add the thermocouple error to the system error using Equation 3, as illustrated below.

Assuming typical thermal EMF, the total error in thermocouple measurement at 200 °C for the NI PXI-2527/TB-2627 with a K-type thermocouple is **±2.76 °C**. It is important to note how large a role the thermocouple error plays in the total error. While it is possible to buy a highly-optimized switching system with ultra-low EMF and a highly-accurate CJC, the error associated with the thermocouple will often negate the additional resources spent on those components.

### 5. Conclusion

The combination of a DMM and a multiplexer can create a high-accuracy temperature measurement system with the potential to handle very high channel counts. When developing such a system, though, it is important to understand the accuracy implications of using not only the switch but also the particular type of thermocouple chosen. The system error for a DMM/switch system is dependent on the accuracy of the CJC sensor, the thermal offset of the switch itself, and the accuracy of the thermocouple being used.

**Related Links:**

Taking Thermocouple Temperature Measurements: Fundamentals

Taking Thermocouple Temperature Measurements: How-To Guide

Measuring Temperature Home Page

National Instruments Digital Multimeters (DMMs) and LCR Meters

National Instruments Switches