基于多变量优化的恒定应力加速退化试验设计

doi:10.3969/j.issn.1001-506X.2021.01.33

系统工程与电子技术 ›› 2021, Vol. 43 ›› Issue (1): 267-271.doi: 10.3969/j.issn.1001-506X.2021.01.33

基于多变量优化的恒定应力加速退化试验设计

刘根¹(), 王治华^1,*(), 屈怀远¹(), 李璐¹(), 刘成瑞²()

1. 北京航空航天大学航空科学与工程学院, 北京 100083
2. 北京控制工程研究所研发中心, 北京 100080

收稿日期:2020-01-20 出版日期:2020-12-25 发布日期:2020-12-30
通讯作者: 王治华 E-mail:liugen_1@163.com;wangzhihua@buaa.edu.cn;1278376200@qq.com;cookrui@sina.com;liuchengrui_502@163.com
作者简介:刘根(1993-),男,博士研究生,主要研究方向为加速退化试验优化设计。E-mail:liugen_1@163.com|屈怀远(1998-),男,本科,主要研究方向为性能退化加速模型。E-mail:1278376200@qq.com|李璐(2000-),女,本科,主要研究方向为性能退化试验与寿命预测。E-mail:cookrui@sina.com|刘成瑞(1978-),男,研究员,硕士研究生导师,博士，主要研究方向为航天器故障诊断、容错控制与可靠性。E-mail:liuchengrui_502@163.com
基金资助:
国家自然科学基金(11872085)

Constant stress accelerated degradation test design based on multivariate optimization

Gen LIU¹(), Zhihua WANG^1,*(), Huaiyuan QU¹(), Lu LI¹(), Chengrui LIU²()

1. School of Aeronautic Science and Engineering, Beihang University, Beijing 100083, China
2. Research and Development Center, Beijing Institute of Control Engineering, Beijing 100080, China

Received:2020-01-20 Online:2020-12-25 Published:2020-12-30
Contact: Zhihua WANG E-mail:liugen_1@163.com;wangzhihua@buaa.edu.cn;1278376200@qq.com;cookrui@sina.com;liuchengrui_502@163.com

摘要/Abstract

摘要：

为了实现高可靠长寿命产品加速退化试验的高效开展,提出一种可以同时优化加速应力水平、各水平下试样数、各水平测试时间等多个试验设计变量的恒定应力加速退化试验优化设计方法。基于Wiener过程与阿伦尼斯模型建立加速退化模型,以可靠寿命估计精度为目标函数,以试验总经费为约束条件,应用遗传算法搜索最优试验方案,并通过敏感性分析确定优化方案的有效性。以某碳膜电阻器为对象开展加速退化试验优化设计的实例分析来证明所提方法的合理性。敏感性分析结果表明,所提方法的优化结果具有良好的稳健性。

关键词: 恒定应力加速退化, 试验优化设计, 多变量优化, Wiener过程

Abstract:

In order to carry out the accelerated degradation test for high reliability and long-life products efficiently, an optimal design method of constant stress accelerated degradation test are proposed, which can simultaneously optimize acceleration stress level, sample number and test time at each level. The accelerated degradation model is constructed based on the Wiener process and the Arrhenius model. The estimation accuracy of reliable life is taken as objective function, and the total cost of the test is defined as the constrain. The genetic algorithm is applied to realize the search of the optimal test scheme, and the effectiveness of the optimal scheme is rerified through the sensitivity analysis. An accelerated degradation test for a carbon film resistor is optimally designed as a case study to demonstrate the rationality of the proposed method. Finally, the sensitivity of the model parameters to the optimization results is analyzed to illustrate the robustness of the optimal design procedure.

Key words: constant stress accelerated degradation, optimal test design, multivariate optimization, Wiener process

中图分类号:

V488
O231

刘根, 王治华, 屈怀远, 李璐, 刘成瑞. 基于多变量优化的恒定应力加速退化试验设计[J]. 系统工程与电子技术, 2021, 43(1): 267-271.

Gen LIU, Zhihua WANG, Huaiyuan QU, Lu LI, Chengrui LIU. Constant stress accelerated degradation test design based on multivariate optimization[J]. Systems Engineering and Electronics, 2021, 43(1): 267-271.

图/表 3

参考文献 16

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费用约束/元	S₁/K	S₂/K	m₁	m₂	n₁	n₂	f/h	Avar/h²	总费用/元
C_b=10 000	423	456	11	4	8	26	195	26.78	9 997
C_b=12 000	423	454	8	7	33	35	170	16.94	11 988
C_b=15 000	425	456	6	9	55	41	145	14.23	13 119

试验方案	S₁/K	S₂/K	m₁	m₂	n₁	n₂	f/h	Avar/h²	总费用/元
M₀	423	454	8	7	33	35	170	16.94	11 988
M₁	403	463	8	7	30	30	200	17.49	12 000

模型参数	S₁/K	S₂/K	m₁	m₂	n₁	n₂	f/h	Avar/h²	总费用/元
(a, b, σ)	423	454	8	7	33	35	170	16.94	11 988
(110%a, b, σ)	423	453	8	7	32	35	171	16.91	11 942
(90%a, b, σ)	425	455	8	7	32	35	173	16.78	11 982
(a, 110%b, σ)	425	454	8	7	33	32	180	16.72	11 985
(a, 90%b, σ)	425	455	8	7	33	32	180	16.40	11 985
(a, b, 110%σ)	423	455	8	7	33	31	180	16.41	11 935
(a, b, 90%σ)	425	455	8	7	33	32	180	16.96	11 985

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基于多变量优化的恒定应力加速退化试验设计

Constant stress accelerated degradation test design based on multivariate optimization

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