鱼雷装备测试维修Petri网模型与指标论证分析

doi:10.12382/bgxb.2021.0768

摘要/Abstract

摘要：

针对鱼雷装备测试维修使用需求，采用广义随机Petri网模型对鱼雷装备进行测试维修建模，并对测试性指标进行分析。分别建立鱼雷装备系统层和结构层GSPN模型，依据故障模式影响和危害性分析(FMECA)对鱼雷装备故障模式进行分类；对鱼雷结构层GSPN模型非基本变迁进行拓展，构建鱼雷装备基层级维修子网GSPN模型；采用同构法求解维修子网GSPN模型，利用的稳态可用度解析公式分析测试性参数与使用可用度(A₀)之间的影响关系；以某型号鱼雷为例，开展测试性指标求解和模型仿真验证。研究结果表明，模型仿真可用度A’=0.999 8，与系统要求值误差小于1%，验证了所构建模型的可行性和有效性。

关键词: 鱼雷, 测试性, 可用度, Petri网模型

Abstract:

To meet the needs of testing and maintenance of torpedo equipment, the generalized stochastic Petri net model is used to the testing and maintenance modelling of the torpedo equipment, and the testability indices are analyzed. Firstly, the GSPN models of the system layer and the structure layer of the torpedo equipment are established respectively, and the failure modes of the torpedo equipment are classified according to the failure mode, effects and criticality analysis (FMECA). Then the non-basic transition of the GSPN model of the torpedo structure layer is expanded. Second, the isomorphism method is adopted to solve the maintenance sub-network GSPN model, and the steady-state availability analytical formula is employed to analyze the influence relationship between the testability parameters and the use availability (A₀). Finally, taking a certain type of torpedo as an example, the testability index solution and model simulation verification are carried out. The model simulation availability is A’=0.999 8, and the error with the system requirement value is less than 1%, which verifies the feasibility and effectiveness of the constructed model.

Key words: torpedo, testability, availability, Petri net model

张宁, 林海华, 孙亚平, 李宗吉, 王世哲. 鱼雷装备测试维修Petri网模型与指标论证分析[J]. 兵工学报, 2023, 44(3): 886-894.

ZHANG Ning, LIN Haihua, SUN Yaping, LI Zongji, WANG Shizhe. Analysis of Petri Net Model and Index Demonstration for Torpedo Equipment Testing and Maintenance[J]. Acta Armamentarii, 2023, 44(3): 886-894.

图/表 14

图1 串联系统GSPN模型

Fig. 1 GSPN model of the series system

图2 并联系统GSPN模型

Fig. 2 GSPN model of the parallel system

表1 控制系统故障模式级别表

Table 1 Table of control system failure mode levels

序号	LRU名称	严酷度级别	符号
1	电子组件	I	RD
2	舵机组件	II	OG
3	深度传感器	II	OG
4	测速器	III	YW

图3 鱼雷系统框图

Fig. 3 Structure diagram of the torpedo system

图4 鱼雷装备系统平面GSPN模型

Fig. 4 Planar GSPN model of the torpedo equipment system

图5 鱼雷结构GSPN模型

Fig. 5 GSPN model of the torpedo structure

图6 维修保障流程

Fig. 6 Maintenance support process

图7 维修子网GSPN模型

Fig. 7 GSPN model of maintenance sub-network

表2 图7中模型要素具体含义

Table 2 Specific meaning of model elements in Fig. 7

库所	含义	变迁	含义	符号	量纲
P₁	系统正常工作	T₁	故障率	$\lambda $	${{\text{h}}^{-1}}$
P₂	系统故障状态	T₂	故障检测速率	${{\eta }_{\text{D}}}$	${{\text{h}}^{-1}}$
P₃	故障检测结束	T₃	BIT故障检测率	${{\gamma }_{\text{FD}}}$	1
P₄	故障无法检测	T₄	BIT故障不可检测率	$1-{{\gamma }_{\text{FD}}}$	1
P₅	系统检测到故障	T₅	人工检测速率	${{\lambda }_{\text{t}}}$	${{\text{h}}^{-1}}$
P₆	故障隔离结束	T₆	故障隔离速率	${{\eta }_{\text{I}}}$	${{\text{h}}^{-1}}$
P₇	故障可隔离至LRU	T₇	故障隔离率	${{\gamma }_{\text{FI}}}$	1
P₈	故障不可隔离至LRU	T₈	故障不可隔离率	$1-{{\gamma }_{\text{FI}}}$	1
		T₉	更换故障LRU(精确维修)速率	${{u}_{1}}$	${{\text{h}}^{-1}}$
		T₁₀	更换故障组部件(模糊维修)速率	${{u}_{2}}$	${{\text{h}}^{-1}}$
		T₁₁	虚警发生频率	${{\lambda }_{\text{FA}}}$	${{\text{h}}^{-1}}$

图8 状态可达图

Fig. 8 Reachable reachability graph

表3 系统可达标识表

Table 3 Reachability identification table of the system

M	P₁	P₂	P₃	P₄	P₅	P₆	P₇	P₈
M₀	1
M₁		1
M₂			1
M₃				1
M₄					1
M₅						1
M₆							1
M₇								1

图9 η D与A0关系图

Fig. 9 Relationship between η D and A0

图10 λ t与A0关系图

Fig. 10 Relationship between λ t and A0

图11 ${{\gamma }_{\text{FD}}}({{\gamma }_{\text{FI}}})$ 与MTTR关系图

Fig. 11 Relationship between ${{\gamma }_{\text{FD}}}{{\gamma }_{\text{FI}}}$ and MTTR

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