CN106021001B - The method that a kind of pair of ring backup electronic product carries out Reliability modeling analysis - Google Patents

The method that a kind of pair of ring backup electronic product carries out Reliability modeling analysis Download PDF

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Publication number
CN106021001B
CN106021001B CN201610361505.XA CN201610361505A CN106021001B CN 106021001 B CN106021001 B CN 106021001B CN 201610361505 A CN201610361505 A CN 201610361505A CN 106021001 B CN106021001 B CN 106021001B
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failure
ring backup
reliability
modeling
model
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CN106021001A (en
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张晓洁
李政
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Panda Electronics Group Co Ltd
Nanjing Panda Handa Technology Co Ltd
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Panda Electronics Group Co Ltd
Nanjing Panda Handa Technology Co Ltd
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    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F11/00—Error detection; Error correction; Monitoring
    • G06F11/008—Reliability or availability analysis
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation

Abstract

The invention discloses the methods that a kind of pair of ring backup electronic product carries out Reliability modeling analysis, ring backup architecture Reliability modeling and analytical calculation are realized based on Monte Carlo simulation approach, it is modeled using monte carlo simulation methodology, its modeling procedure are as follows: (1) establish one and solve related probability simulation model, make the probability distribution or mathematic expectaion that are solved to constructed model；(2) random sampling observation is carried out to model, i.e. generation stochastic variable；(3) it is compared solution.The present invention solves the problems, such as the modeling of ring backup architecture electronic product reliability, meets logical relation description and fail-safe analysis requirement to complicated ring backup architecture, to improve the fail-safe analysis of product, design level provides theoretical basis.

Description

The method that a kind of pair of ring backup electronic product carries out Reliability modeling analysis
Technical field
The present invention relates to the methods that a kind of pair of ring backup electronic product carries out Reliability modeling analysis, and belonging to electronic product can By property design field.
Background technique
The present invention be for ring backup architecture electronic product Reliability modeling analysis and design, be based on Monte Carlo method Realize the modeling of ring backup electronic product reliability and analysis work.Ring backup architecture refers to prepare more part composition of ring-like.By It is (such as reliability block diagram, fault tree analysis method, dynamic using some common Reliability Modelings in its complex redundancy structure State fault tree, Markov process etc.), it can not be modeled, can not description logic relationship, and then can not be to its analysis meter Calculate reliability index.Present invention application Monte Carlo method carries out Reliability modeling and analysis to ring backup architecture, and proposes Corresponding algorithmic formula, the fail-safe analysis for improving ring backup architecture electronic product are horizontal.
Summary of the invention
It is an object of the invention to Monte Carlo method application in electronic product ring backup architecture, is carried out Reliability modeling And analytical calculation；The logical relation of ring backup architecture completely is described, and solves the Reliability modeling point of ring backup architecture The problem of analysis provides theoretical basis to improve the reliability design level of product.
The technical solution adopted by the present invention is that: the method that a kind of pair of ring backup electronic product carries out Reliability modeling analysis, It is based on Monte Carlo simulation approach and realizes ring backup architecture Reliability modeling and analytical calculation, using monte carlo simulation methodology come Modeling, modeling procedure are as follows:
(1) it establishes one and solves related probability simulation model, make the probability distribution or number that are solved to constructed model Term hopes；
(2) random sampling observation is carried out to model, i.e. generation stochastic variable；
(3) it is compared solution.
The simulation model wherein established using Monte Carlo method is as follows:
1. system model
System is made of 16 basic units, is indicated with s, then has s={ z1,z2,…z16}；
ziIndicate each unit, their failure distribution function is Fi(t) (i=1,2 ... 16), obey λ=10-7/ hour Exponential distribution；
2. emulation logic relationship
12 cold standby belief systems are protected for simple non-16, reliability block diagram can be directlyed adopt as system Meng Teka The genuine logical relation of Luo Fang；Complication system as 12 cold standbies is protected for 16, using failure tree representation Monte-Carlo Simulation Logical relation；Time variable is introduced, if in the system, the structure function of fault tree is indicated with φ [x (t)]；Each unit zi's State variable bi(t) it indicates, can be expressed as formula (5-1)
X (t)=[b1(t),b2(t),…b16(t)] (5-1)
Wherein ziState variable
Indicate that top event in the state variable of t moment, then has with φ [t]
And φ [t]=φ [x (t)] (5-4)
Top event is system s failure, and bottom event is following four kinds of situations:
1. the ∑ b of A1, A2, B1i≥2；
2. the ∑ b of A3~A7, B2, B3i≥3；
3. the ∑ b of A8~A12, B3, B4i≥3；
4. the ∑ b of A3~A12, B2~B4i≥4。
The method of reliability index needed for being calculated according to the simulation model are as follows:
1. the time t for obeying given exponential distribution is randomly generated, compare t and 131400 (15 years=131400 hours) Size relation do not break down in 131400 hours if t > 131400, state variable 0；If t < 131400, Then break down in 131400 hours, state variable 1；Random number is generated in this manner to each amplifier, and Its state variable is obtained, totally 16 units.
2. failure is divided into following four: if there is greater than one cell failure in tri- units of A1, A2, B1, entirely setting Standby failure；If having greater than two cell failures, whole equipment failure in seven A3~A7, B2, B3 units；If A8~ There are greater than two cell failures in seven units of A12, B3, B4, then whole equipment failure；If A3~A12, B2~B4 13 There are greater than three cell failures in unit, then whole equipment failure；
3. procedure above iteration 104It is secondary, equipment fault number and 104Ratio be unreliable degree.
The beneficial effects of the present invention are: solving the problems, such as the modeling of ring backup architecture electronic product reliability, can apply To the multiclass products such as the electronics comprising ring backup architecture, electromechanics, the reliability design field of system.It meets standby to complicated ring The logical relation description and fail-safe analysis requirement of part structure.To improve the fail-safe analysis of product, design level provides reason By basis.
Detailed description of the invention
Fig. 1 is that amplifier 16 protects 12 ring backup schematic diagrames.
Fig. 2 is the Monte-Carlo Simulation flow chart of amplifier.
Specific embodiment
The present invention is described in detail with specific embodiment below in conjunction with the accompanying drawings.
Present invention is primarily based on Monte Carlo simulation approach, realize ring backup architecture Reliability modeling and analytical calculation.Using Monte carlo simulation methodology models, and steps are as follows basic modeling:
1. establishing one and solving related probabilistic model, make the probability distribution or the mathematics phase that are solved to constructed model It hopes；
2. carrying out random sampling observation to model, i.e. generation stochastic variable；
3. being compared solution.
Equipment as shown in Figure 1 is certain row amplifier, which belongs to ring backup.The device structure functional relationship is 16 guarantors 12 backups: under normal circumstances, 12 unit (A1~A12) work is shared, 12 accesses are constituted, remaining 4 (B1~B4) are standby Part part.Wherein, B1 can back up all the way any in access 1 and 2, and A1, A2 and B1 form 3:2 backup mode；Remaining A3 13 10 backup modes of guarantor of~A12 and B2~B4 composition: B2 can back up all the way any in access 3~7, but cannot be to access 8 ~12 backups；B3 can back up all the way any in 3~12；B4 can back up all the way any in access 8~12, but not Access 3~7 can be backed up.The crash rate of each monomer obeys the exponential distribution that parameter is λ.Need to analyze this ring backup architecture Unreliable degree after working 15 years.
Relationship Comparison is complicated between 16 units of the equipment, and using Monte Carlo method, simulation model is as follows:
1. system model
System is made of 16 basic units, is indicated with s, then has s={ z1,z2,…z16}。
ziIndicate each unit, their failure distribution function is Fi(t) (i=1,2 ... 16), obey λ=10-7/ hour Exponential distribution.
2. emulation logic relationship
For simple belief system, the logic that can directly adopt reliability block diagram as system Monte-Carlo Simulation is closed System；Complication system as 12 cold standbies, the general logical relation for using failure tree representation Monte-Carlo Simulation are protected for 16.It introduces Time variable, if in the system, the structure function of fault tree is indicated with φ [x (t)]；Each unit ziState variable bi(t) It indicates, can be expressed as formula (5-1)
X (t)=[b1(t),b2(t),…b16(t)] (5-1)
Wherein ziState variable
Indicate that top event in the state variable of t moment, then has with φ [t]
And φ [t]=φ [x (t)] (5-4)
Top event is system s failure, and bottom event is following four kinds of situations:
1. the ∑ b of A1, A2, B1i≥2；
2. the ∑ b of A3~A7, B2, B3i≥3；
3. the ∑ b of A8~A12, B3, B4i≥3；
4. the ∑ b of A3~A12, B2~B4i≥4。
Above simulation model can clearly give expression to the logical relation of 16 guarantor, 12 equipment, so as to further root Reliability index needed for being calculated according to the simulation model.
Amplifier (Fig. 1) application software (example Matlab) is emulated, program flow diagram is as shown in Figure 2.
The meaning that each variable represents in flow chart: E represents the whole equipment number of stoppages；K indicates cycle-index；I representative is put The title of big device；tiRepresent the life time of 16 travelling-wave tube amplifiers taken out at random；NiIndicate the state of i-th of travelling-wave tubes Variable, Ni=1 is failure, Ni=0 is normal；The unreliable degree of F expression whole equipment.
Algorithm routine principle is as follows:
1. the time t for obeying given exponential distribution is randomly generated, compare t and 131400 (15 years=131400 hours) Size relation do not break down in 131400 hours if t > 131400, state variable 0.If t < 131400, Then break down in 131400 hours, state variable 1.Random number is generated in this manner to each amplifier, and Its state variable is obtained, totally 16 units.
2. failure is divided into following four: if there is greater than one cell failure in tri- units of A1, A2, B1, entirely setting Standby failure.If having greater than two cell failures, whole equipment failure in seven A3~A7, B2, B3 units；If A8~ There are greater than two cell failures in seven units of A12, B3, B4, then whole equipment failure；If A3~A12, B2~B4 13 There are greater than three cell failures in unit, then whole equipment failure；
3. procedure above iteration 104It is secondary, equipment fault number and 104Ratio be unreliable degree.
Analysis obtains the unreliable degree of product, because the indexs such as the unreliable degree of product, reliability, crash rate, MTTF can Mutually to convert, therefore it can be concluded that other characteristic quantities of ring backup architecture numerical value.
The basic principles, main features and advantages of the invention have been shown and described above.Those skilled in the art It should be appreciated that the protection scope that the above embodiments do not limit the invention in any form, all to be obtained using modes such as equivalent replacements The technical solution obtained, falls in protection scope of the present invention.
Part that the present invention does not relate to is the same as those in the prior art or can be realized by using the prior art.

Claims (2)

1. the method that a kind of pair of ring backup electronic product carries out Reliability modeling analysis, it is characterised in that: be based on Monte Carlo mould Quasi- method realizes ring backup architecture Reliability modeling and analytical calculation, is modeled using monte carlo simulation methodology, modeling procedure It is as follows:
(1) it establishes one and solves related probability simulation model, make the probability distribution or the mathematics phase that are solved to constructed model It hopes；
(2) random sampling observation is carried out to model, i.e. generation stochastic variable；
(3) it is compared solution；
The simulation model established using Monte Carlo method is as follows:
1. system model
System is made of 16 basic units, is indicated with s, then has s={ z1,z2,…z16}；
ziIndicate each unit, their failure distribution function is Fi(t), i=1,2 ..., 16；Obey λ=10-7The finger of/hour Number distribution；
2. emulation logic relationship
12 cold standby belief systems are protected for simple non-16, it is imitative as system Monte Carlo that reliability block diagram can be directlyed adopt Genuine logical relation；Complication system as 12 cold standbies is protected for 16, using the logic of failure tree representation Monte-Carlo Simulation Relationship；Time variable is introduced, if in the system, the structure function of fault tree is indicated with φ [x (t)]；Each unit ziState Variable bi(t) it indicates, can be expressed as formula (5-1)
X (t)=[b1(t),b2(t),…b16(t)] (5-1)
Wherein ziState variable
Indicate that top event in the state variable of t moment, then has with φ [t]
And φ [t]=φ [x (t)] (5-4)
Top event is system s failure, and bottom event is following four kinds of situations:
1. the ∑ b of A1, A2, B1i≥2；
2. the ∑ b of A3~A7, B2, B3i≥3；
3. the ∑ b of A8~A12, B3, B4i≥3；
4. the ∑ b of A3~A12, B2~B4i≥4。
2. the method that a kind of pair of ring backup electronic product according to claim 1 carries out Reliability modeling analysis, feature It is the method for reliability index needed for calculating according to the simulation model are as follows:
1. the time t for obeying given exponential distribution is randomly generated, compare the size relation of t and 131400, if t > 131400, then it does not break down in 131400 hours, state variable 0；If t < 131400, sent out in 131400 hours Raw failure, state variable 1；Random number is generated to each amplifier in this manner, and obtains its state variable, totally 16 A unit；
2. failure is divided into following four: if there is greater than one cell failure in tri- units of A1, A2, B1, whole equipment event Barrier；If having greater than two cell failures, whole equipment failure in seven A3~A7, B2, B3 units；If A8~A12, There are greater than two cell failures in seven units of B3, B4, then whole equipment failure；If 13 A3~A12, B2~B4 units In have greater than three cell failures, then whole equipment failure；
3. procedure above iteration 104It is secondary, equipment fault number and 104Ratio be unreliable degree.
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CN101706831A (en) * 2009-06-12 2010-05-12 上海宏力半导体制造有限公司 Circuit tolerance measure method in field of semiconductor design simulation
CN104239687A (en) * 2014-08-13 2014-12-24 中国航天标准化研究所 Reliability modeling and evaluation method based on aerospace product signal transmission path
CN104750932A (en) * 2015-04-01 2015-07-01 电子科技大学 Structural reliability analysis method based on agent model under condition of hybrid uncertainty

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Publication number Priority date Publication date Assignee Title
CN101706831A (en) * 2009-06-12 2010-05-12 上海宏力半导体制造有限公司 Circuit tolerance measure method in field of semiconductor design simulation
CN101655882A (en) * 2009-07-24 2010-02-24 上海宏力半导体制造有限公司 Modelling method based on worst condition of statistic model
CN104239687A (en) * 2014-08-13 2014-12-24 中国航天标准化研究所 Reliability modeling and evaluation method based on aerospace product signal transmission path
CN104750932A (en) * 2015-04-01 2015-07-01 电子科技大学 Structural reliability analysis method based on agent model under condition of hybrid uncertainty

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