GB/Z 21223.3-2023Guidelines for the statistical analysis of ageing test data - Part 3: Minimum specimen numbers at different test conditions with given experimental data (English PDF)
老化试验数据统计分析导则 第3部分:给定试验数据的不同试验条件下的最少试样数量
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Issued by
SAMR; SAC
Level / Type
National · Recommended
Issue date
September 7, 2023
Implementation date
April 1, 2024
Scope
GB/Z 21223.3-2023 is the English-translated version of 老化试验数据统计分析导则 第3部分:给定试验数据的不同试验条件下的最少试样数量.
GB/Z 21223.3-2023 addresses the practical constraint that makes ageing tests hard to design: how few specimens can be used and still support a conclusion. Ageing tests on electrical insulation run for months at several temperatures, and the statistical guidance normally assumes as many specimens as the analysis would like. Real programmes cannot supply them - the specimen may be a full-size component rather than a coupon, the test equipment holds a limited number at once, and each additional condition multiplies both the cost and the number of ovens needed. The temptation is to reduce specimens arbitrarily and report the result as though the reduction had no consequence, when in fact it widens the confidence interval to the point where the extrapolated endurance means nothing. This part describes methods of statistical analysis using a minimum number of specimens, for situations where the specimen or the test equipment is large, or the specimens are costly, or the number that can be tested is otherwise limited. As a GB/Z it is a guiding technical document. Under ICS 29.035.01 and CCS K15, it is written for insulation and materials laboratories and the engineers who design endurance test programmes.
Document preview — GB/Z 21223.3-2023
National Standard of the People's Republic of China
- ICS
- 29.035.01
- Classification
- K15
Issued by: State Administration for Market Regulation; Standardization Administration of the PRC
Contents
- 1 Scope1
- 2 Normative reference documents1
- 3 Terms and definitions, symbols, conventions1
- 4 Hypothesis2
- 5 General3
- 5 When sigma=0.05, the number of samples is 20, 10, 5 and3
- 8 Figure 6 sigma=0.3, the number of samples is 20, 10, 5 and3
- 8 When sigma=0.05, the number of samples is 20, 10, 5 and3
- 9 When sigma=0.3, the number of samples is 20, 10, 5 and 312
Foreword
This document complies with the provisions of GB/T 1.1-2020 "Standardization Work Guidelines Part
1.Structure and Drafting Rules of Standardization Documents" Drafting. This document is Part 3 of GB/T (Z) 21223 "Guidelines for Statistical Analysis of Aging Test Data". GB/T (Z) 21223 has been released. Lower part.
1.Method based on the average value of normal distribution test results;
2.Verification procedures for statistical analysis of censored normal distribution data;
3.Minimum number of specimens under different test conditions given test data. This document is equivalent to IEC /T R60493-3.2017 "Guidelines for Statistical Analysis of Aging Test Data Part
3.Given Test Data Minimum number of specimens under different test conditions. This document is converted from an IEC technical report into a national standardization guidance technical document. This document has made the following minimal editorial changes.
---Modify the writing format of the "Symbols" chapter. According to the writing rules of GB/T 1.1-2020, the "Symbols" chapter does not use a table format. format, adopting the "format specified in GB/T 1.1-2020";
---According to the writing rules of GB/T 1.1-2020, number the formulas in sequence, and list the letters and symbols in the formulas accordingly meaning and explanation. Please note that some content in this document may be subject to patents. The publisher of this document assumes no responsibility for identifying patents. This document is proposed by the China Electrical Equipment Industry Association. This document is under the jurisdiction of the National Standardization Technical Committee for Assessment of Electrical Insulating Materials and Insulation Systems (SAC/TC301). This document was drafted by: Jiangsu CRRC Electric Co., Ltd., Beijing Goldwind Kechuang Wind Power Equipment Co., Ltd., Zhejiang Rongtai Technology Enterprise Co., Ltd. Co., Ltd., Beijing Institute of Electrical Technology and Economics of Machinery Industry, Xiamen Schwitter Electric Power Technology Co., Ltd., Guangdong Mingyang Electric Co., Ltd. Division, Nanyang Explosion-Proof (Suzhou) Special Equipment Co., Ltd., Jiangsu Zhongcable Detection Technology Co., Ltd., Xujue Electrical Co., Ltd., Guangdong Open Electric Co., Ltd., Zhuhai Kangjin Electric Co., Ltd., Wuxi Jiangnan Cable Co., Ltd., CRRC Zhuzhou Electric Co., Ltd., Shandong Qilu Motor Manufacturing Co., Ltd., Suzhou Taihu Electrical New Materials Co., Ltd., Suzhou Jufeng Electrical Insulation System Co., Ltd., CRRC Yong Ji Electric Co., Ltd., Harbin University of Science and Technology, Shanghai Electrical Equipment Testing Institute Co., Ltd., Obon Technology (Suzhou) Co., Ltd. The main drafters of this document. Che Sanhong, Liu Yali, Li Shulin, Kong Kai, Ge Fan, Guo Xianqing, Chen Hao, Ba Weilian, Liu Jun, Guo Zhenyan, Li Jian, Liu Jilin, Gao Junguo, Xu Kaixuan, Shen Maoxiong, Wei Jingsheng, Cheng Xiaorong, Xia Yu, Wang Shuangcan, Chen Shibo, Qin Dawei, Li Dan, Xu Xuemin, He Haitao, Ding Zhishun, Shang Qianbo.
The purpose of this document is to illustrate how statistical analysis can be performed using small sample sizes. General statistical analysis requires large sample sizes. When the dispersion of test data is small enough, statistical analysis with a small sample size can be performed. On the other hand, this document helps clarify when the number of specimens is limited (e.g. about five) and the aging conditions are fewer (e.g. two or three), e.g. How to use the dispersion of a small amount of data to estimate lifespan. Therefore, the purpose of this paper is to show whether data using a small number of samples but with a small degree of discreteness can be predicted within a certain statistical error range. Estimating life span and other performance. The methods described in this document may be useful to users, for example, manufacturers who may prefer to replace modern traditional testing methods. This new test method is easy to implement and relatively low-cost, especially suitable for small-sized samples. From this, it is proposed A statistical processing method suitable for a minimum number of specimens would be favored by manufacturers. The methods described in this document are suitable for most statistical analyses, except for some typical cases. Currently, GB/T (Z) 21223 "Guidelines for Statistical Analysis of Aging Test Data" consists of three parts.
1.Method based on the average value of normal distribution test results. The aim is to assume that aging obeys the Arrhenian In the case of Arrhenius's law (that is, the logarithm of failure time is a linear function of the reciprocal of thermodynamic temperature), the appropriate Statistical methods for analyzing and evaluating results from aging data.
2.Validation procedures for statistical analysis of censored normal distribution data. The purpose is to give aging time or performance measurements Verification procedure for censored data when performance values cannot be determined due to limitations (data in this case are called "censored data").
3.Minimum number of specimens under different test conditions given test data. The purpose is to give the information on the sample (including test equipment) When the equipment) is large in size, the sample cost is high, and the accelerated test is difficult to implement, the accelerated test and Methods of statistical analysis of data. Guidelines for statistical analysis of aging test data Part
1 Scope
GB/Z 21223.3-2023 addresses the practical constraint that makes ageing tests hard to design: how few specimens can be used and still support a conclusion. Ageing tests on electrical insulation run for months at several temperatures, and the statistical guidance normally assumes as many specimens as the analysis would like. Real programmes cannot supply them - the specimen may be a full-size component rather than a coupon, the test equipment holds a limited number at once, and each additional condition multiplies both the cost and the number of ovens needed. The temptation is to reduce specimens arbitrarily and report the result as though the reduction had no consequence, when in fact it widens the confidence interval to the point where the extrapolated endurance means nothing. This part describes methods of statistical analysis using a minimum number of specimens, for situations where the specimen or the test equipment is large, or the specimens are costly, or the number that can be tested is otherwise limited. As a GB/Z it is a guiding technical document. Under ICS 29.035.01 and CCS K15, it is written for insulation and materials laboratories and the engineers who design endurance test programmes.
This document describes methods for statistical analysis using a minimum number of specimens. This document is applicable to situations where the size of the specimen (including test equipment) is large, the cost of the specimen is high, and the implementation of accelerated testing is difficult to pass. Small number of samples to achieve accelerated testing and data statistical analysis.
2 Normative reference documents
The contents of the following documents constitute essential provisions of this document through normative references in the text. Among them, the dated quotations For undated referenced documents, only the version corresponding to that date applies to this document; for undated referenced documents, the latest version (including all amendments) applies to this document. IEC 60493-
3.1 Terms and definitions The terms and definitions defined in
IEC 60493-1, IEC /T R60493-2 and
IEC 62539 apply to this document. Terms and definitions used in this document from ISO and IEC are found at.
3.2 Symbols The following symbols apply to this document. A. The pre-exponential factor representing the degradation rate constant in the equation.
......
This preview omits tables, figures, formulas and parts of the technical clauses. The complete document — 16 pages — is available in the English PDF.
Referenced standards
Normative references
IEC 60493 · GB/T 21223.1-2015 · GB/T 21223.2-2015 · IEC 62539.2007
Similar standards
GB 38031-2025|GB/T 1.1-2020|GB/T 21223.1-2015|GB/T 21223.2-2015|GB/T 29310-2012|GB/T 20632.2|GB/T 20632.3|GB/T 31034
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