基于最小割序集的独立电力系统可靠性分析

doi:10.3969/j.issn.1001-506X.2020.08.29

系统工程与电子技术 ›› 2020, Vol. 42 ›› Issue (8): 1865-1872.doi: 10.3969/j.issn.1001-506X.2020.08.29

基于最小割序集的独立电力系统可靠性分析

杨占刚(), 郝雯超(), 隋政(), 刘建英()

中国民航大学电子信息与自动化学院, 天津 300300

收稿日期:2019-07-17 出版日期:2020-07-25 发布日期:2020-07-27
作者简介:杨占刚 (1979-),男,副教授,硕士研究生导师,博士,主要研究方向为飞机机电系统测试。E-mail:yangcauc@163.com|郝雯超 (1991-),男,硕士研究生,主要研究方向为飞机智能化维修技术。E-mail:515746692@qq.com|隋政 (1994-),男,硕士研究生,主要研究方向为微电网等独立电力系统安全性分析。E-mail:suizheng1926@163.com|刘建英 (1963-),女,副教授,硕士研究生导师,硕士,主要研究方向为多电飞机电力系统。E-mail:liujy_2010@126.com
基金资助:
航空科学基金(20170267002);中央高校基本科研业务费项目中国民航大学专项资助(3122018D005);天津市高等学校创新团队培养计划资助(TD13-5071)

Reliability analysis of independent power system based on minimum cut sequence set

Zhangang YANG(), Wenchao HAO(), Zheng SUI(), Jianying LIU()

College of Electronic Information and Automation, Civil Aviation University of China, Tianjin 300300, China

Received:2019-07-17 Online:2020-07-25 Published:2020-07-27
Supported by:
航空科学基金(20170267002);中央高校基本科研业务费项目中国民航大学专项资助(3122018D005);天津市高等学校创新团队培养计划资助(TD13-5071)

摘要/Abstract

摘要：

故障树分析方法是对系统进行可靠性评估的有效方法,但在独立电力系统可靠性的计算中存在可靠性参数计算量大、求解困难等问题。对此,采用故障树最小割序集方法求解独立电力系统的可靠性指标,针对求解可靠性指标时存在的组合爆炸问题,提出了基于时间运算符求解最小割序集的方法。运用分层模块的方法简化动态故障树模型,并根据最小割序集的逻辑运算规则得到最小割序集。最后运用失效概率公式求解得到独立电力系统的可靠性指标。以某常规独立电力系统和B787飞机电力系统可靠性分析为例,验证了所提算法的可行性和正确性,为求解独立电力系统的可靠性指标提供了一种新的思路。

关键词: 动态故障树, 可靠性指标, 最小割序集, 组合爆炸

Abstract:

The fault tree analysis is an effective method for reliability evaluation of the system. However, there are problems in the reliability calculation of independent power systems, such as the reliability parameters have large amount of calculation and are difficult to be solved. Thus, the fault tree minimum cut sequence set method is used to solve the reliability index of the independent power system. For the combinatorial explosion problem in the calculation of the reliability index of the sys tem, a time-based operator is proposed to solve the minimum cut sequence set. In this way, the hierarchical module is used to simplify the dynamic fault tree model, and the minimum cut sequence set is obtained according to the logical operation rules of the minimum cut sequence set. Finally, the failure probability formula is used to solve and obtain the reliability index of the independent power system. Taking the reliability analysis of a conventional independent power system and B787 flight power system as an example, the feasibility and correctness of the proposed algorithm are verified, which provides a new idea for solving the reliability index of the independent power system.

Key words: dynamic fault tree, reliability index, minimum cut sequence set, combinatorial explosion

中图分类号:

V215.7

杨占刚, 郝雯超, 隋政, 刘建英. 基于最小割序集的独立电力系统可靠性分析[J]. 系统工程与电子技术, 2020, 42(8): 1865-1872.

Zhangang YANG, Wenchao HAO, Zheng SUI, Jianying LIU. Reliability analysis of independent power system based on minimum cut sequence set[J]. Systems Engineering and Electronics, 2020, 42(8): 1865-1872.

图/表 14

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事件名称	对应的符号
235 V交流汇流条L1失效	P₁
中间事件1	P₂
中间事件2	P₃
中间事件3	P₄
中间事件4	P₅
中间事件5	P₆
中间事件6	P₇
(发电机) 断路器L1故障	P₈
235 V交流汇流条L1故障	P₉
辅助发电机 R故障	P₁₀
(辅助发电机) 断路器R故障	P₁₁
中间事件7	P₁₂
发电机L2故障	P₁₃
(发电机) 断路器L2故障	P₁₄
235 V交流汇流条L2故障	P₁₅
中间事件8	P₁₆
发电机 R2故障	P₁₇
(发电机) 断路器R2故障	P₁₈
235 V交流汇流条R2故障	P₁₉
中间事件9	P₂₀
辅助发电机 L故障	P₂₁
(辅助发电机) 断路器L故障	P₂₂
中间事件10	P₂₃
发电机R1故障	P₂₄
(发电机) 断路器R1故障	P₂₅
235 V交流汇流R1故障	P₂₆
中间事件11	P₂₇
(汇流条) 断路器L1故障	P₂₈
中间事件12	P₂₉
(汇流条) 断路器R2故障	P₃₀
(汇流条) 断路器R3故障	P₃₁
(汇流条) 断路器R1故障	P₃₂
(汇流条) 断路器L2故障	P₃₃
(汇流条)断路器 L3故障	P₃₄
中间事件13	P₃₅
中间事件14	P₃₆
中间事件15	P₃₇
中间事件16	P₃₈
中间事件17	P₃₉
中间事件18	P₄₀
中间事件19	P₄₁
VFSG L1 故障	P₄₂

元件名称	元件故障率
断路器	1.433 3e^-5
接触器	1.433 3e^-5
变压整流器	5.982 4e^-5
发电机	5.565 6e^-5
二极管	5.714 3e^-6
馈线	3.548 3e^-6
电瓶	1.830 0e^-6
继电器	1.433 3e^-5
汇流条	5.107 0e^-7
逆变器	9.090 9e^-5

事件名称	事件故障率
P₂	7.049 7e^-5
P₃	6.049 8e^-5
P₄	7.100 8e^-5
P₅	7.100 9e^-5
P₆	7.049 8e^-5
P₇	7.100 7e^-5

飞行时长/h	失效概率
2	4.717 3e^-10
4	2.190 6e^-9
6	5.160 2e^-9
10	1.486 6e^-8
200	6.807 2e^-6
1 000	2.347 0e^-4

飞行时长/h	可靠性
2	0.999 975 25
4	0.999 950 56
6	0.999 925 93
10	0.999 876 85
200	0.997 807 50
1 000	0.992 931 25

基于最小割序集的独立电力系统可靠性分析

Reliability analysis of independent power system based on minimum cut sequence set

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飞行时长/h	可靠性指标
2	0.999 999 999 528 3
4	0.999 999 997 809 0
6	0.999 999 994 839 0
10	0.999 999 985 1
200	0.999 993 192 8
1 000	0.999 765 300 0

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