一种机载系统研制保证等级分配的优化方法

doi:10.12305/j.issn.1001-506X.2022.08.35

Abstract

Abstract:

Assigning development assurance levels for items/functions and conducting corresponding development assurance activities can minimize the possibility of errors in the development process. The development assurance levels of the items/functions consisting of the system are taken as decision variables, the assignment principle of development assurance levels and the probability requirement of the top failure conditions are taken as constraints, and the minimization of the development cost is taken as the optimizing objective, the model of the development assurance level assignment is established. Taking the vector composed of the development assurance levels of all items/functions as the individual chromosome, a method of solving the model is proposed based on the a genetic algorithm and particle swarm optimization (GA-PSO) hybrid algorithm. Finally, an application instance is given based on a hypothetical air-borne system and a certain fly-by-wire flight control system. The results show that the proposed method can reduce the dependence on designers'experiences or skills effectively, and has higher accuracy and efficiency compared with other algorithms.

Key words: system safety, development assurance level assignment, optimization model, failure probability, genetic algorithm and particle swarm optimization (GA-PSO) hybrid algorithm

CLC Number:

V240.2

Lu ZHUANG, Zhong LU, Haijing SONG, Jia ZHOU. An optimization method for development assurance level assignment of airborne system[J]. Systems Engineering and Electronics, 2022, 44(8): 2688-2698.

Figures/Tables 18

Table 1

Table 2

Table 3

Fig.1

Table 4

Table 5

Fig.2

Fig.3

Fig.4

Fig.5

Table 6

Corresponding relationship between FFS and I/F for the system of Example 2"

I/F	FFS
I/F	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
驾驶杆位置传感器	√
驾驶杆受力传感器	√
驾驶手轮位置传感器				√		√
驾驶手轮受力传感器				√		√
方向舵踏板位置传感器					√
方向舵配平位置传感器					√
升降舵PCU	√
升降舵传感器	√
水平安定面PCU		√
水平安定面传感器		√
安定面配平超控电门		√
襟翼拉杆位置传感器				√								√			√
襟翼PCU				√								√			√
襟翼传感器				√								√			√
副翼PCU			√	√		√
副翼传感器			√	√		√
方向舵PCU					√
方向舵传感器					√
方向舵配平开关					√
方向舵配平取消开关					√
减速扰流板拉杆			√											√
扰流板PCU			√											√
扰流板传感器			√											√
CPU模块										√
A/D、D/A板										√
GPS模块										√
垂直陀螺								√
磁航向传感器								√
三轴速率陀螺								√
倾斜保护电路									√
俯仰保护电路									√
高度保护电路									√
ACE								√	√	√
AIMS											√
ADIRU											√
SAARU											√
ADM											√
主电源系统控制器							√
APU							√
应急电源							√
襟缝翼控制计算机												√	√
缝翼手柄传感器													√		√
缝翼PCU													√		√
缝翼传感器													√		√
制动器控制杆位置传感器														√	√
反推力位置传感器														√	√

Table 6

Table 7

I/F information for the system of Example 2"

I/F名称	驾驶杆位置传感器				驾驶杆受力传感器				驾驶手轮位置传感器				驾驶手轮受力传感器
DAL	A	B	C	D	A	B	C	D	A	B	C	D	A	B	C	D
失效概率	1e-4	2e-3	3e-2	6e-2	4e-4	6e-3	5e-2	6e-2	2e-4	8e-3	1e-3	8e-2	1e-4	3e-3	9e-3	8e-2
费用/千美元	88	75	66	30	76	56	44	31	85	72	63	33	77	59	40	34

I/F名称	方向舵踏板位置传感器				方向舵配平位置传感器				升降舵PCU				升降舵传感器
DAL	A	B	C	D	A	B	C	D	A	B	C	D	A	B	C	D
失效概率	8e-4	4e-3	2e-2	7e-2	6e-4	6e-3	2e-2	8e-2	2e-4	7e-4	2e-3	1e-2	1e-4	2e-3	3e-2	5e-2
费用/千美元	92	77	44	38	79	59	37	22	74	56	36	25	65	58	48	26

I/F名称	水平安定面PCU				水平安定面传感器				安定面配平超控电门				襟翼拉杆位置传感器
DAL	A	B	C	D	A	B	C	D	A				A	B	C	D
失效概率	1e-4	8e-3	1e-2	2e-2	1e-4	5e-4	2e-3	8e-2	6e-4				4e-4	6e-4	2e-3	9e-2
费用/千美元	73	65	44	18	65	53	35	19	73				69	55	34	14

I/F名称	襟翼PCU				襟翼传感器				副翼PCU				副翼传感器
DAL	A	B	C	D	A	B	C	D	A	B	C	D	A	B	C	D
失效概率	1e-4	5e-4	6e-3	3e-2	4e-4	6e-3	1e-2	6e-2	2e-4	1e-3	1e-2	8e-2	1e-4	5e-4	9e-3	8e-2
费用/千美元	88	75	66	30	76	56	44	31	85	72	63	33	77	59	40	34

I/F名称	方向舵PCU				方向舵传感器				方向舵配平开关				方向舵配平取消开关
DAL	A	B	C	D	A	B	C	D	A				A
失效概率	8e-4	4e-3	8e-3	7e-2	2e-4	6e-4	2e-3	8e-2	2e-4				1e-4
费用/千美元	92	77	44	38	79	59	37	22	74				65

I/F名称	减速扰流板拉杆				扰流板PCU				扰流板传感器				CPU模块
DAL	A				A	B	C	D	A	B	C	D	A	B	C	D
失效概率	1e-4				2e-4	5e-4	2e-3	8e-2	1e-4	1e-3	5e-3	7e-2	1e-4	6e-4	2e-3	9e-3
费用/千美元	73				65	53	35	19	73	65	43	16	69	55	34	14

I/F名称	A/D、D/A板				GPS模块				垂直陀螺				磁航向传感器
DAL	A	B	C	D	A	B	C	D	A	B	C	D	A	B	C	D
失效概率	6e-5	2e-4	8e-4	3e-3	4e-5	6e-4	1e-3	6e-3	5e-5	8e-5	8e-4	8e-3	1e-4	5e-4	9e-3	8e-2
费用/千美元	88	75	66	30	76	56	44	31	86	72	63	33	77	59	40	34

I/F名称	三轴速率陀螺				倾斜保护电路				俯仰保护电路				高度保护电路
DAL	A	B	C	D	A	B	C	D	A	B	C	D	A	B	C	D
失效概率	1e-4	4e-3	8e-3	7e-2	1e-4	6e-4	2e-3	8e-2	2e-5	7e-4	2e-3	9e-2	1e-4	6e-4	3e-3	5e-2
费用/千美元	92	77	44	38	79	59	37	22	74	56	36	25	65	58	48	26

I/F名称	ACE				AIMS				ADIRU				SAARU
DAL	A	B	C	D	A	B	C	D	A	B	C	D	A	B	C	D
失效概率	1e-5	8e-5	1e-4	6e-3	1e-5	1e-4	5e-4	8e-3	1e-5	2e-4	5e-4	7e-3	4e-5	6e-4	2e-3	9e-3
费用/千美元	113	95	73	58	85	73	55	45	73	65	43	36	69	55	34	24

I/F名称	ADM				主电源系统控制器				APU				应急电源
DAL	A	B	C	D	A	B	C	D	A	B	C	D	A	B	C	D
失效概率	8e-5	6e-4	1e-3	5e-3	2e-5	2e-4	8e-4	8e-3	2e-5	3e-5	9e-4	8e-3	2e-5	9e-5	2e-4	7e-3
费用/千美元	88	75	66	30	96	76	64	41	85	72	63	33	67	56	40	34

I/F名称	襟缝翼控制计算机				缝翼手柄传感器				缝翼PCU				缝翼传感器
DAL	A	B	C	D	A	B	C	D	A	B	C	D	A	B	C	D
失效概率	1e-5	6e-5	2e-4	9e-3	1e-4	8e-4	6e-3	3e-2	2e-4	1e-3	8e-3	8e-2	1e-4	3e-4	9e-3	8e-2
费用/千美元	99	87	74	58	79	59	37	22	74	56	36	25	65	58	48	26

I/F名称	制动器控制杆位置传感器				反推力位置传感器				/				/
DAL	A	B	C	D	A	B	C	D	/	/	/	/	/	/	/	/
失效概率	1e-4	4e-4	2e-3	7e-2	6e-4	1e-3	6e-3	8e-2	/	/	/	/	/	/	/	/
费用/千美元	73	65	44	18	75	53	39	25	/	/	/	/	/	/	/	/

Table 7

Table 8

Fig.6

Fig.7

Fig.8

Fig.9

Table 9

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FC分类	灾难性的	危害性的	严重的	轻微的
概率要求(1/FH)	10^-9	10^-7	10^-5	10^-3

顶层FC	单成员FFS	多成员FFS选项一	多成员FFS选项二
灾难性的	A	其中一个成员为A, 且其他成员不低于C	其中两个成员为B, 且其他成员不低于C
危害性的	B	其中一个成员为B, 且其他成员不低于D	其中两个成员为C, 且其他成员不低于D
严重的	C	其中一个成员为C	其中两个成员为D
轻微的	D	其中一个成员为D	其中一个成员为D
无安全影响的	E	E	E

次数	最小总研制成本/千美元
次数	GA	PSO	ABC	GA-PSO
1	597	594	593	593
2	593	594	593	593
3	597	593	593	593
4	593	593	593	593
5	593	593	593	593
6	603	594	593	593
7	593	593	593	593
8	593	593	593	593
9	593	593	593	593
10	614	593	593	593
耗时/s	27.513	0.368	0.527	1.664

次数	最小总研制成本/千美元
次数	GA	PSO	ABC	GA-PSO
1	2 534	2 440	2 486	2 359
2	2 519	2 421	2 503	2 349
3	2 496	2 470	2 482	2 370
4	2 506	2 455	2 410	2 345
5	2 563	2 402	2 487	2 361
6	2 533	2 464	2 481	2 364
7	2 496	2 397	2 477	2 363
8	2 521	2 444	2 481	2 376
9	2 452	2 394	2 496	2 353
10	2 539	2 416	2 466	2 359
耗时/s	193.124	8.571	83.932	83.199

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An optimization method for development assurance level assignment of airborne system

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I/F编号	1				2				3				4
DAL	A	B	C	D	A	B	C	D	A	B	C	D	A	B	C	D
失效概率	1e-4	2e-3	6e-2	3e-1	4e-4	6e-3	5e-2	6e-1	2e-5	8e-4	8e-3	8e-2	1e-5	3e-4	9e-3	8e-2
费用	88	75	66	30	76	56	44	31	85	72	63	33	77	59	40	34

I/F编号	5				6				7				8
DAL	A	B	C	D	A	B	C	D	A	B	C	D	A	B	C	D
失效概率	8e-5	4e-4	2e-3	7e-2	6e-5	6e-4	2e-3	9e-3	2e-5	7e-4	2e-3	9e-3	1e-5	2e-4	3e-3	5e-2
费用	92	77	44	38	79	59	37	22	74	56	36	25	65	58	48	26

I/F编号	9				10				11				12
DAL	A	B	C	D	A	B	C	D	A	B	C	D	A	B	C	D
失效概率	1e-5	8e-3	1e-2	2e-2	8e-5	5e-3	2e-2	8e-2	1e-5	4e-4	5e-4	7e-3	4e-5	6e-4	2e-3	9e-2
费用	73	65	44	18	65	53	35	19	73	65	43	16	69	55	34	14

DAL	A	B	C	D	E
对应数值	4	3	2	1	0