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BSI PD IEC TR 62967:2018

BSI PD IEC TR 62967:2018

$198.66

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

Published By Publication Date Number of Pages
BSI 2018 68
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This Technical Report provides guidance on the assurance of reliability data of automation devices. If the source of this data is 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.

PDF Catalog

PDF Pages PDF Title
2 undefined
4 CONTENTS
8 FOREWORD
10 INTRODUCTION
11 1 Scope
2 Normative references
3 Terms and definitions
12 3.1 Basic terms
3.1.3 Input terms
3.1.4 Output terms
13 3.2 Static calibration characteristics
3.3 Definitions of static performance indicators
17 4 Methods for calculating individual static performance indicators
4.1 Establishment of static calibration characteristics
4.1.1 General requirements for static calibration
4.1.2 The calculation of static calibration characteristics
18 4.2 Span (xFS)
4.3 Full-span output (YFS)
4.4 Resolution (Rx)
19 4.5 Sensitivity (Si)
4.6 Hysteresis (ξH)
4.7 Repeatability (ξR)
4.7.1 Calculating methods
20 4.7.2 Determination of coverage factor
4.7.3 Calculation of sample standard deviations
4.8 Linearity (ξL)
4.8.1 The general formula for calculating linearity
Tables
Table 1 – Form to present reliability data with its data types
21 4.8.2 Absolute linearity (ξL,ab)
4.8.3 Terminal-based Linearity (ξL,te)
22 4.8.4 Shifted-terminal-based Linearity (ξL,s,te)
4.8.5 Zero-based linearity (ξL,ze)
23 4.8.6 Front-terminal-based Linearity (ξL,f,te)
4.8.7 Independent Linearity (ξL,in)
Figures
Figure 1 – Terminal-based Linearity
Figure 2 – Zero-based Linearity
24 4.8.8 Least-squares Linearity (ξL,ls)
Figure 3 – Front-terminal-based Linearity
Figure 4 – Independent Linearity
25 4.9 Conformity (ξC)
4.9.1 The general formula for calculating conformity
4.9.2 Absolute conformity (ξC,ab)
26 4.9.3 Terminal-based conformity (ξC,te)
4.9.4 Zero-based conformity (ξC,ze)
4.9.5 Front-terminal-based conformity (ξC,f,te)
4.9.6 Independent conformity (ξC,in)
Figure 5 – Terminal-based conformity
Figure 6 – Zero-based conformity
27 4.9.7 Least-squares conformity (ξC,ls)
4.10 Drift and shift
4.10.1 Zero drift (D0)
Figure 7 – Front-terminal-based conformity
Figure 8 – Independent conformity
28 4.10.2 Drift of upper-range-value output (Du)
4.10.3 Thermal zero shift (γ)
4.10.4 Thermal shift of upper-range-value output (β)
29 5 Methods for calculating combined static performance indicators
5.1 Combined linearity and hysteresis (Linearity plus hysteresis) ξLH
5.1.1 The general form of calculating formula
5.1.2 The calculation of reference line
5.2 Combined linearity, hysteresis and repeatability (ξLHR)
30 5.2.1 The general form of calculating formula
5.2.2 The alternative forms of the calculating formulas
31 5.2.3 The method for calculating the working characteristics
Figure 9 – The method of L(C)HR extreme-point envelope
33 Annex A (informative)Methods and examples for calculating linearities
A.1 Numerical examples for calculating zero-based linearity
A.1.1 The general principle of calculation
A.1.2 Solving for the first approximating straight line
A.1.3 Solving for the second approximating straight line
Table A.1
Table A.2
34 A.2 Numerical examples for calculating independent linearity
A.2.1 The principle of a precise method
Table A.3
Table A.4
35 Figure A.1 – The transformed convex polygon
36 Table A.5
37 A.2.2 The principle of the makeshift methods
A.3 A comparison of the results of all kinds of linearities
38 Annex B (informative)Methods and Examples for Calculating Conformities
B.1 The general principle for calculating conformities
B.1.1 Determining the degree of the fitting curves
B.1.2 Choosing the number of the alternating points
B.1.3 Determining the locations of the alternating points
B.1.4 Finding the finally-successful alternating points
39 B.2 Numerical examples for calculating conformities
B.2.1 Solving for the terminal-based curve of the second degree and the terminal-based conformity of the second degree
Figure B.1 – The curve roughly drawn from the given data
Table B.1
40 Table B.2
41 B.2.2 Solving for the zero-based curve of the second degree and the zero-based conformity of the second degree
Table B.3
42 B.2.3 Solving for the front-terminal-based curve of the second degree and the front-terminal-based conformity of the second degree
Table B.4
Table B.5
43 B.2.4 Solving for the best curve of the second degree and the independent conformity of the second degree
44 B.2.5 Solving for the least-squares curve of the second degree and the least-squares conformity of the second degree
Table B.6
45 B.2.6 A rough principle guiding the choice of the theoretical curve
Table B.7
46 Annex C (informative)Examples for calculating transducer individual and combined performance indicators
C.1 General principles of calculation
C.2 Numerical examples
C.2.1 Numerical example 1
Table C.1 – The original data obtained in the calibration
47 Table C.2 – The intermediate results of calculation
48 Table C.3 – Finding the extreme points n = 5 c = t 0.95 = 2.776
Table C.4 – The deviations from the best working line
50 C.2.1.4.7 Total uncertainty (linearity plus hysteresis plus repeatability)
51 Figure C.1 – Deviation curves which are calculated relative to relevant best reference lines of the first degree
Figure C.2 – Deviation curves which are calculated relative to the working line of the first degree
52 C.2.2 Numerical example 2
53 C.2.3 Numerical example 3
Figure C.3 – Deviation curves which are calculated relative to relevant best reference lines of the second degree
Figure C.4 – Deviation curves which are calculated relative to the working line of the second degree
55 Annex D (informative)Examples for calculating transmitter individual and combined performance indicators
D.1 General principles of calculation
D.2 Numerical example
D.3 Calculation results
Table D.1 – The original data obtained in the calibration
56 Figure D.1 – Deviation curves which are calculated relative to the given working straight line
57 Figure D.2 – Deviation curves which are calculated relative to the best reference straight line
58 Annex E (informative)The Pre-treatment of the Original Data
E.1 The discovery of suspect and unreasonable data points
E.2 The detection of suspect data points
E.2.1 The general principle of statistical detection
59 Table E.1
Table E.2
60 Table E.3 – The original data obtained in the calibration
61 E.3 The Inspection of Unreasonable Data Points
E.3.1 The Unreasonable Data Points
Figure E.1 – Deviation curves which are calculated relative to the best working straight line
62 E.3.2 Example 1 for Inspecting the Unreasonable Data Points
E.3.3 Example 2 for Inspecting the Unreasonable Data Points
Table E.4 – A list of the computer-conducted inspection results for the unreasonable data points
63 Figure E.2 – Deviation curves which are calculated relative to the best working straight line
64 Annex F (informative)The fundamentals for calculating transducer uncertainty
F.1 Components of measurement uncertainty
F.2 Combined uncertainty
F.3 The combined uncertainty of a transducer
F.4 The total uncertainty of a transducer at the ith calibration point
65 F.5 The total uncertainty of a transducer
66 Bibliography

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BSI PD IEC TR 62967:2018
$198.66