本文選題：共載冗余 + 可靠性建模　； 參考：《西北工業(yè)大學(xué)》2015年博士論文

【摘要】：冗余技術(shù)是工程領(lǐng)域中為達(dá)到系統(tǒng)的可靠性目標(biāo)而經(jīng)常采用的主要手段之一，如何準(zhǔn)確的預(yù)計(jì)、評估、分析冗余系統(tǒng)的可靠性便成為冗余設(shè)計(jì)的重中之重。傳統(tǒng)的冗余系統(tǒng)可靠性理論忽略了系統(tǒng)各單元壽命之間的相互影響，認(rèn)為其壽命是相互獨(dú)立的，這種理論在分析共載冗余系統(tǒng)時(shí)必然會帶來比較大的偏差，無法滿足工程需要。目前共載冗余系統(tǒng)可靠性理論尚處于發(fā)展階段，對于工程中實(shí)際存在的共載冗余系統(tǒng)，尚有許多問題亟待解決。為此，基于共載冗余系統(tǒng)可靠性分析與優(yōu)化設(shè)計(jì)的工程需求，本文對共載冗余系統(tǒng)包含控制裝置、系統(tǒng)中單元退化失效服從隨機(jī)過程、系統(tǒng)包含共因失效等情況下的可靠性理論進(jìn)行研究，并分析了包含共載冗余分系統(tǒng)的串-并聯(lián)系統(tǒng)的優(yōu)化設(shè)計(jì)問題。論文主要內(nèi)容與結(jié)論包括如下幾個方面： 1.建立了考慮控制裝置的共載冗余系統(tǒng)的可靠性模型 (1)針對不可修系統(tǒng)各單元壽命服從指數(shù)分布的情況，對于控制裝置具有恒定失效率和恒定可靠度的情況，根據(jù)齊次馬爾可夫過程特性分別給出了可靠性模型表達(dá)式，，對于控制裝置服從一般壽命分布的情形，建立了系統(tǒng)可靠性的Monte Carlo仿真算法； (2)對于不可修系統(tǒng)各單元壽命服從一般分布的情形，運(yùn)用事件空間法，根據(jù)全概率理論、條件概率理論和等效累積失效概率理論，建立了系統(tǒng)可靠性模型，并給出了Monte Carlo仿真算法；通過在某排水系統(tǒng)算例的應(yīng)用驗(yàn)證了上述兩個模型的合理性和仿真算法的有效性； (3)對于各單元壽命和維修時(shí)間均服從指數(shù)分布的可修系統(tǒng)，繪出系統(tǒng)狀態(tài)轉(zhuǎn)移圖，根據(jù)馬爾可夫鏈數(shù)值計(jì)算方法計(jì)算系統(tǒng)的瞬態(tài)可靠性特征量，通過在某電壓源換流閥系統(tǒng)算例的應(yīng)用驗(yàn)證了模型的合理性。 2.建立了單元退化失效為隨機(jī)過程的共載冗余系統(tǒng)的可靠性模型 分別針對單元退化失效服從Gamma過程或Wiener過程的系統(tǒng)，根據(jù)Gamma過程或Wiener過程的獨(dú)立增量特性，運(yùn)用事件空間法，分別建立了系統(tǒng)可靠性模型，并給出了系統(tǒng)可靠性的Monte Carlo仿真算法。最后，分別以三角帶傳動系統(tǒng)和風(fēng)機(jī)通風(fēng)系統(tǒng)為例，驗(yàn)證了所提出模型的合理性和仿真算法的有效性。 3.建立了考慮共因失效的共載冗余系統(tǒng)的可靠性模型 (1)針對系統(tǒng)各單元壽命服從指數(shù)分布的情況，基于β因子模型，根據(jù)齊次馬爾可夫過程特性給出了可靠性模型的表達(dá)式；基于二項(xiàng)失效率(BFR)模型，繪出系統(tǒng)狀態(tài)轉(zhuǎn)移圖，通過馬爾可夫鏈數(shù)值計(jì)算方法求解系統(tǒng)可靠性； (2)針對各單元壽命服從一般分布的情形，基于β因子模型，根據(jù)事件空間法給出了可靠性模型的表達(dá)式，并給出Monte Carlo仿真算法；基于二項(xiàng)失效率(BFR)模型，給出了系統(tǒng)可靠性的Monte Carlo仿真算法； 最后以某鋰離子電池組成的電源系統(tǒng)為例，分別驗(yàn)證了所提模型的合理性和仿真算法的有效性。 4.對包含共載冗余分系統(tǒng)的系統(tǒng)進(jìn)行可靠性優(yōu)化設(shè)計(jì) (1)根據(jù)對多個時(shí)刻可靠度要求建立了串-并聯(lián)系統(tǒng)冗余分配優(yōu)化模型，包括分系統(tǒng)中部件同類型的串-并聯(lián)系統(tǒng)和分系統(tǒng)中部件不同類型的串-并聯(lián)系統(tǒng)； (2)根據(jù)共載冗余分系統(tǒng)可靠性模型的特點(diǎn)，對1階鄰域啟發(fā)式算法和遺傳算法進(jìn)行了研究，然后通過算例分析表明了優(yōu)化模型的全面性及優(yōu)化算法的有效性。
[Abstract]:Redundancy technology is one of the main methods used in the field of engineering to achieve the reliability goal of the system. How to accurately predict, evaluate, and analyze the reliability of redundant systems is the most important part of redundant design. The traditional redundancy system reliability theory neglects the interaction between the life of each unit of the system and considers the life span of the system. It is independent of each other. This theory will inevitably bring large deviations in the analysis of CO loaded redundant systems and can not meet the needs of engineering. At present, the reliability theory of the common redundant system is still at the stage of development. There are still many questions to be solved for the actual redundant systems in the project. For the engineering requirements of the analysis and optimization design, this paper studies the reliability theory of the co loaded redundancy system including the control device, the unit degradation failure obeys the random process, the system includes the common cause failure and so on, and analyzes the optimization design of the series parallel system including the co loaded redundancy system. The main contents of the paper are the main contents of the paper. And the conclusion includes the following aspects:
1. a reliability model of a co loading redundant system considering control devices is established.
(1) for the condition that the life of each unit of the inpairable system obeys the exponential distribution, the reliability model expression is given according to the homogeneous Markov process characteristic for the control device with constant failure rate and constant reliability. The Monte Carl of the system reliability is established for the control device obeying the general life distribution. O simulation algorithm;
(2) the system reliability model is established by using the event space method, according to the full probability theory, the conditional probability theory and the equivalent cumulative failure probability theory by using the event space method, and the Monte Carlo simulation algorithm is given by using the event space method, and the above two models are verified by the application of a drainage system example. The rationality of the algorithm and the effectiveness of the simulation algorithm.
(3) for the repairable system with exponential distribution of the life and maintenance time of each unit, the state transfer diagram of the system is drawn, and the transient reliability characteristic of the system is calculated according to the Markov chain numerical calculation method, and the rationality of the model is verified by the application of a voltage source converter valve system.
2. the reliability model of a co loading redundant system with unit degradation failure as a stochastic process is established.
According to the system of Gamma process or Wiener process, according to the independent increment characteristic of the Gamma process or the Wiener process, the system reliability model is established by using the event space method, and the Monte Carlo simulation algorithm of the system reliability is given. Finally, the triangle belt transmission system and the fan ventilation system are respectively used. As an example, the rationality of the proposed model and the effectiveness of the simulation algorithm are verified.
3. a reliability model of a co loading redundant system considering common cause failure is established.
(1) in view of the exponential distribution of the life of each unit of the system, based on the beta factor model, the expression of the reliability model is given according to the properties of the homogeneous Markov process. Based on the two term BFR model, the system state transfer graph is drawn, and the system reliability is solved by the Markov chain number calculation method.
(2) on the basis of the beta factor model, the expression of the reliability model is given based on the event space method, and the Monte Carlo simulation algorithm is given based on the beta factor model, and the Monte Carlo simulation algorithm for the system reliability is given based on the two term loss of efficiency (BFR) model.
Finally, a power system consisting of a lithium ion battery is taken as an example to verify the rationality of the proposed model and the effectiveness of the simulation algorithm.
4. reliability optimization design of the system including the redundant redundant subsystems.
(1) the redundant allocation optimization model of series parallel system is established according to the reliability requirements for multiple time, including the series parallel system in the same type of components in the subsystem and the series parallel system of different types of components in the subsystem.
(2) according to the characteristics of the reliability model of the shared redundant subsystem, the 1 order neighborhood heuristic algorithm and the genetic algorithm are studied. Then the optimization model is proved to be comprehensive and the optimization algorithm is effective by example analysis.

【學(xué)位授予單位】：西北工業(yè)大學(xué)
【學(xué)位級別】：博士
【學(xué)位授予年份】：2015
【分類號】：TB114.3

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