基于协同平衡的可靠性冗余设计优化算法

doi:10.12305/j.issn.1001-506X.2023.12.39

摘要/Abstract

摘要：

可靠性冗余设计优化是航天装备研发工作的重点之一。在系统可靠性平衡优化的基础上提出了协同平衡的新概念, 即利用单元协同变化实现复杂系统可靠性冗余设计的进一步优化。所提算法充分考虑冗余单元变化对复杂系统可靠度、费用、体积、质量和功耗等性能参数的影响, 可以解决各类可靠性冗余设计优化问题。计算结果表明基于单元协同平衡的可靠性冗余设计优化算法可以有效实现可靠性冗余设计的优化目标, 同时具有计算成本低、效率高等优点。

关键词: 运载火箭, 电气系统, 可靠性, 冗余设计, 多目标优化

Abstract:

Reliability redundancy design optimization is one of the focuses of aerospace equipment research and development work. Based on the optimization of system reliability balance, this article proposes a new concept of collaborative balance, which utilizes unit collaborative changes to further optimize the reliability redundancy design of complex systems. The proposed algorithm fully considers the impact of changes in redundant units on performance parameters such as reliability, cost, volume, quality, and power consumption of complex systems, and can solve various reliability redundancy design optimization problems. The calculation results show that the reliability redundancy design optimization algorithm based on unit collaborative balance can effectively achieve the optimization goal of reliability redundancy design, with the advantages of low computational cost and high efficiency.

Key words: carrier rocket, electrical system, reliability, redundancy design, multi-objective optimization

中图分类号:

TB114.3

翟宏州, 张华, 吴琳娜, 卜鹤群, 龚凯翔. 基于协同平衡的可靠性冗余设计优化算法[J]. 系统工程与电子技术, 2023, 45(12): 4084-4089.

Hongzhou ZHAI, Hua ZHANG, Linna WU, Hequn BU, Kaixiang GONG. Optimization algorithm for reliability redundancy design based on collaborative balance[J]. Systems Engineering and Electronics, 2023, 45(12): 4084-4089.

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样本序号	第1个子系统	第2个子系统	…	第i个子系统	…	第n个子系统
第1种	-1	-1	…	-1	…	-1
第2种	-1	-1	…	-1	…	0
第3种	-1	-1	…	-1	…	1
⋮	⋮	⋮	⋮	⋮	⋮	⋮
第3ⁿ－2种	1	1	…	1	…	-1
第3ⁿ－1种	1	1	…	1	…	0
第3ⁿ种	1	1	…	1	…	1

参数	子系统
参数	i=1	i=2	i=3	i=4	i=5
单元可靠性	0.70	0.85	0.75	0.80	0.90
单元费用	2	3	2	3	1

计算算法	初始冗余数	优化冗余数	系统可靠度	系统费用/元
一般平衡优化算法^[24]	3, 2, 2, 2, 2	3, 2, 2, 1, 1	0.993 2	20
协同平衡优化算法	3, 2, 2, 2, 2	1, 2, 3, 1, 2	0.990 3	19
	1, 1, 1, 1, 1	1, 2, 3, 1, 2	0.990 3	19
	5, 5, 5, 5, 5	1, 2, 3, 1, 2	0.990 3	19

i	r_i	c_i	C₀	p_i	P₀	w_i	W₀
1	0.80	7	175	1	110	7	200
2	0.85	7	175	2	110	8	200
3	0.90	5	175	3	110	8	200
4	0.65	9	175	4	110	6	200
5	0.75	4	175	2	110	9	200

计算算法	优化冗余数	系统可靠度	系统成本/元	系统体积/mm³	系统质量/g
一阶领域启发式遗传算法^[15]	3, 2, 2, 3, 3	0.904 5	146.12	83	170.95
一阶领域启发式遗传算法与粒子群优化算法的联合算法^[15]	3, 2, 2, 3, 3	0.904 5	146.12	83	170.95
协同平衡优化算法	3, 3, 2, 3, 4	0.933 1	162.81	107	197.11