IEC TR 62967:2018

Methods for calculating the main static performance indicators of transducers and transmitters

IEC TR 62967:2018(E) provides guidance on the assurance of reliability data of automation devices. If the source of this data is through calculation, guidance is given on how to specify the methods used for this calculation. If the source is through observations, guidance is given on how to describe these observations and their evaluations. If the source is the outcome of laboratory tests, guidance is given on how to specify these tests and the conditions under which they have been carried out. This document defines the form to present the data.

General Information

• Status: Published
• Publication Date: 28-Aug-2018
• ICS: 01 - GENERALITIES. TERMINOLOGY. STANDARDIZATION. DOCUMENTATION
• ICS: 25.040.40 - Industrial process measurement and control
• Technical Committee: SC 65B - Measurement and control devices
• Drafting Committee: WG 6 - TC 65/SC 65B/WG 6
• Current Stage: PPUB - Publication issued
• Start Date: 09-Aug-2018
• Completion Date: 29-Aug-2018

Standards Content (Sample)

IEC TR 62967 ®
Edition 1.0 2018-08
TECHNICAL
REPORT
Methods for calculating the main static performance indicators of transducers
and transmitters
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IEC TR 62967 ®
Edition 1.0 2018-08
TECHNICAL
REPORT
Methods for calculating the main static performance indicators of transducers

and transmitters
INTERNATIONAL
ELECTROTECHNICAL
COMMISSION
ICS 25.040.40 ISBN 978-2-8322-5980-1

– 2 – IEC TR 62967:2018  IEC 2018
CONTENTS
FOREWORD . 6
INTRODUCTION . 8
1 Scope . 9
2 Normative references . 9
3 Terms and definitions . 9
3.1 Basic terms . 10
3.1.3 Input terms . 10
3.1.4 Output terms . 10
3.2 Static calibration characteristics . 11
3.3 Definitions of static performance indicators . 11
4 Methods for calculating individual static performance indicators . 15
4.1 Establishment of static calibration characteristics . 15
4.1.1 General requirements for static calibration . 15
4.1.2 The calculation of static calibration characteristics . 15
4.2 Span (x ) . 16
FS
4.3 Full-span output (YFS) . 16
4.4 Resolution (Rx) . 16
4.5 Sensitivity (Si) . 17
4.6 Hysteresis (ξH) . 17
4.7 Repeatability (ξR) . 17
4.7.1 Calculating methods . 17
4.7.2 Determination of coverage factor . 18
4.7.3 Calculation of sample standard deviations . 18
4.8 Linearity (ξL) . 18
4.8.1 The general formula for calculating linearity . 18
4.8.2 Absolute linearity (ξL,ab) . 19
4.8.3 Terminal-based Linearity (ξL,te) . 19
4.8.4 Shifted-terminal-based Linearity (ξL,s,te) . 20
4.8.5 Zero-based linearity (ξL,ze) . 20
4.8.6 Front-terminal-based Linearity (ξL,f,te) . 21
4.8.7 Independent Linearity (ξL,in) . 21
4.8.8 Least-squares Linearity (ξL,ls) . 22
4.9 Conformity (ξC) . 23
4.9.1 The general formula for calculating conformity . 23
4.9.2 Absolute conformity (ξC,ab) . 23
4.9.3 Terminal-based conformity (ξC,te) . 24
4.9.4 Zero-based conformity (ξC,ze) . 24
4.9.5 Front-terminal-based conformity (ξC,f,te) . 24
4.9.6 Independent conformity (ξC,in) . 24
4.9.7 Least-squares conformity (ξC,ls) . 25
4.10 Drift and shift . 25
4.10.1 Zero drift (D0) . 25
4.10.2 Drift of upper-range-value output (Du) . 26
4.10.3 Thermal zero shift (γ). 26
4.10.4 Thermal shift of upper-range-value output (β) . 26
5 Methods for calculating combined static performance indicators . 27

5.1 Combined linearity and hysteresis (Linearity plus hysteresis) ξLH . 27
5.1.1 The general form of calculating formula . 27
5.1.2 The calculation of reference line . 27
5.2 Combined linearity, hysteresis and repeatability(ξLHR) . 27
5.2.1 The general form of calculating formula . 28
5.2.2 The alternative forms of the calculating formulas . 28
5.2.3 The method for calculating the working characteristics . 29
Annex A (informative) Methods and examples for calculating linearities . 31
A.1 Numerical examples for calculating zero-based linearity . 31
A.1.1 The general principle of calculation. 31
A.1.2 Solving for the first approximating straight line. 31
A.1.3 Solving for the second approximating straight line . 31
A.2 Numerical examples for calculating independent linearity . 32
A.2.1 The principle of a precise method . 32
A.2.2 The principle of the makeshift methods . 35
A.3 A comparison of the results of all kinds of linearities . 35
Annex B (informative) Methods and Examples for Calculating Conformities . 36
B.1 The general principle for calculating conformities . 36
B.1.1 Determining the degree of the fitting curves . 36
B.1.2 Choosing the number of the alternating points . 36
B.1.3 Determining the locations of the alternating points . 36
B.1.4 Finding the finally-successful alternating points . 36
B.2 Numerical examples for calculating conformities . 37
B.2.1 Solving for the terminal-based curve of the second degree and the
terminal-based conformity of the second degree . 37
B.2.2 Solving for the zero-based curve of the second degree and the zero-
based conformity of the second degree . 39
B.2.3 Solving for the front-terminal-based curve of the second degree and the
front-terminal-based conformity of the second degree . 40
B.2.4 Solving for the best curve of the second degree and the independent
conformity of the second degree . 41
B.2.5 Solving for the least-squares curve of the second degree and the least-
squares conformity of the second degree . 42
B.2.6 A rough principle guiding the choice of the theoretical curve . 43
Annex C (informative) Examples for calculating transducer individual and combined
performance indicators . 44
C.1 General principles of calculation . 44
C.2 Numerical examples . 44
C.2.1 Numerical example 1 . 44
C.2.1.4.7 Total uncertainty (linearity plus hysteresis plus repeatability) . 48
C.2.2 Numerical example 2 . 50
C.2.3 Numerical example 3 . 51
Annex D (informative) Examples for calculating transmitter individual and combined
performance indicators . 53
D.1 General principles of calculation . 53
D.2 Numerical example . 53
D.3 Calculation results . 53
Annex E (informative) The Pre-treatment of the Original Data . 56
E.1 The discovery of suspect and unreasonable data points. 56
E.2 The detection of suspect data points . 56

– 4 – IEC TR 62967:2018  IEC 2018
E.2.1 The general principle of statistical detection . 56
E.3 The Inspection of Unreasonable Data Points . 59
E.3.1 The Unreasonable Data Points . 59
E.3.2 Example 1 for Inspecting the Unreasonable Data Points . 60
E.3.3 Example 2 for Inspecting the Unreasonable Data Points .
...