Analysis of Petri Net Model and Index Demonstration for Torpedo Equipment Testing and Maintenance

doi:10.12382/bgxb.2021.0768

Abstract

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

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.

Figures/Tables 14

References 16

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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

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

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	${{\lambda }_{\text{FA}}}$	${{\text{h}}^{-1}}$

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	${{\lambda }_{\text{FA}}}$	${{\text{h}}^{-1}}$

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