CN102298978A - MFM (multilevel flow model)-based indeterminate fault diagnosis method for nuclear power plant for ship - Google Patents
MFM (multilevel flow model)-based indeterminate fault diagnosis method for nuclear power plant for ship Download PDFInfo
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Abstract
本发明提供的是一种核动力装置基于多层流模型的不确定性故障诊断方法。当传感器探测到的表述各个功能部件的变量的测量值超出正常变化域时,警报显示为故障,并标示异常部件位置;根据MFM模型中流的流向,截取可能导致故障的因果关系;截断逻辑环路,形成微故障树;将微故障树转化成微GO-FLOW的方法;对微GO-FLOW模型进行处理合并,组合成以传感器检测到的各个异常功能的交集为最终信号的GO-FLOW模型;将GO-FLOW模型输入软件中,进行计算,最终得到各个基本故障导致各个异常功能的交集发生的概率的大小。本发明适用于解决复杂系统问题,易于验证,结果准确,速度快、满足实时诊断需要。
The invention provides an uncertain fault diagnosis method for a nuclear power plant based on a multilayer flow model. When the measured value of the variable representing each functional component detected by the sensor exceeds the normal range, the alarm is displayed as a fault, and the location of the abnormal component is marked; according to the flow direction in the MFM model, the causal relationship that may lead to the fault is intercepted; the logical loop is cut off , form a micro-fault tree; convert the micro-fault tree into a micro-GO-FLOW method; process and merge the micro-GO-FLOW models, and combine them into a GO-FLOW model with the intersection of each abnormal function detected by the sensor as the final signal; Input the GO-FLOW model into the software for calculation, and finally get the probability of the intersection of each abnormal function caused by each basic fault. The invention is suitable for solving complex system problems, is easy to verify, has accurate results, is fast and meets the needs of real-time diagnosis.
Description
技术领域 technical field
本发明涉及的是一种复杂系统故障诊断方法,具体地说是针对船用核动力装置故障及其征兆间复杂且具有不确定性的逻辑关系而提出的一种基于多层流模型的故障诊断方法。 The present invention relates to a complex system fault diagnosis method, specifically a fault diagnosis method based on a multilayer flow model proposed for the complex and uncertain logical relationship between marine nuclear power plant faults and their symptoms . the
背景技术 Background technique
故障诊断是指应用测试分析手段和诊断理论,对系统运行中所发生故障的机理、原因、部位和程度等进行识别,为进一步制定故障设备的维修方案和采取适当的应急操作提供支持。系统故障诊断以设备状态识别为基础,从设备的异常状态(即征兆)出发,根据系统守恒原理和控制规则分析征兆间的因果关系,从而实现故障定位、定性及定因。 Fault diagnosis refers to the application of test analysis methods and diagnostic theories to identify the mechanism, cause, location and degree of faults that occur during system operation, and provide support for further formulating maintenance plans for faulty equipment and taking appropriate emergency operations. System fault diagnosis is based on equipment state identification, starting from the abnormal state of the equipment (that is, symptoms), and analyzing the causal relationship between symptoms according to the principle of system conservation and control rules, so as to realize fault location, characterization and cause determination. the
本发明所涉及的对象是船用核动力装置,船用核动力装置在实际运行中,设备的结构和性能受噪音、摇摆和海水腐蚀等因素影响,表现出不同的劣化趋势:一方面,不同工艺类型的设备受外界因素的影响程度不同,表现出不同的故障类型;另一方面,由于运行环境、操纵员的操作能力和管理水平的差异,即使相同工艺的设备在故障发生的频率、表现形式和表现特征等方面也可能不同。特别地,船用核动力装置属于小子样问题,缺乏完整的故障诊断知识,对某些设备的故障机理还不明确;或者对设备的故障机理清楚,但是由于系统本身的复杂性,对其它设备和系统的影响难以判断。此外,由于船用核动力装置系统庞大,受船体空间限制,不能实现功能独立,存在设备共用现象,一旦发生故障,将导致系统大量参数异常,征兆间因果关系难以明确。例如:表象(故障征兆)和成因(故障模式)之间存在不确定性,一种故障征兆可能对应多种故障模式;反之,某一故障模式也可能会表现出多种故障征兆。最后,设备的运行环境、控制过程、操纵员干预、传感器检测,以及专家知识等都具有不确定性因素。因此对船用核动力装置进行故障诊断一个亟待解决的关键问题就是认识和处理故障诊断中不确定性问题。 The object involved in the present invention is a marine nuclear power plant. During the actual operation of a marine nuclear power plant, the structure and performance of the equipment are affected by factors such as noise, swing and seawater corrosion, showing different deterioration trends: on the one hand, different process types The equipment is affected by external factors to different degrees, and exhibits different types of failures; Aspects such as performance characteristics may also differ. In particular, the marine nuclear power plant is a small sample problem, lacks complete fault diagnosis knowledge, and the fault mechanism of some equipment is not clear; or the fault mechanism of the equipment is clear, but due to the complexity of the system itself, other equipment and The impact of the system is difficult to judge. In addition, due to the large size of the marine nuclear power plant system, limited by the space of the hull, it cannot achieve independent functions, and there is a phenomenon of equipment sharing. Once a failure occurs, a large number of system parameters will be abnormal, and the causal relationship between symptoms is difficult to determine. For example: there is uncertainty between appearance (fault symptom) and cause (failure mode), and one fault symptom may correspond to multiple fault modes; conversely, a certain fault mode may also show multiple fault symptoms. Finally, the operating environment of the equipment, control process, operator intervention, sensor detection, and expert knowledge all have uncertainties. Therefore, a key problem to be solved in the fault diagnosis of marine nuclear power plant is to recognize and deal with the uncertainty in fault diagnosis. the
不确定性可以理解为在缺少足够信息的情况下做出判断,是智能问题的本质特征;推理是人类的思维过程,是从已知事实出发,运用相关的知识逐步推出结论的过程。所谓不确定性推理就是从不完整的初始证据出发,通过运用不确定性知识,最终推出具有一定程度不确定性但却是合理或者近乎合理的结论的思维过程。 Uncertainty can be understood as making judgments in the absence of sufficient information, which is the essential feature of intelligence problems; reasoning is the human thinking process, which is the process of starting from known facts and using relevant knowledge to gradually draw conclusions. The so-called uncertainty reasoning is a thinking process that starts from incomplete initial evidence and uses uncertainty knowledge to finally draw a certain degree of uncertainty but a reasonable or near-reasonable conclusion. the
不确定性推理可以是定性的、定量的,或者是定性与定量结合的。不确定性推理可以分为符号推理和数值推理两大类。其中,符号推理方法在推理过程中信息损失较少,但计算量 较大,典型方法包括认可理论(Endorsement Theory)等。数值推理方法虽然在推理过程中有一定的信息损失,但易于实现,典型方法如概率推理等。目前在不确定性推理领域,主要采用数值推理方法。 Uncertainty reasoning can be qualitative, quantitative, or a combination of qualitative and quantitative. Uncertainty reasoning can be divided into two categories: symbolic reasoning and numerical reasoning. Among them, the symbolic reasoning method has less information loss in the reasoning process, but has a large amount of calculation. Typical methods include Endorsement Theory and so on. Although the numerical reasoning method has a certain amount of information loss in the reasoning process, it is easy to implement, and typical methods such as probabilistic reasoning and so on. At present, in the field of uncertainty reasoning, numerical reasoning methods are mainly used. the
概率推理方法中最早使用的是不确定因子方法,是由Shortliffe和Buchanan于1975年提出的,用于处理MUCIN系统中的不确定信息。1976年,Duda等提出了主观贝叶斯方法,并应用于探矿专家系统PROSPECTOR的设计。主观贝叶斯方法主要利用贝叶斯公式和变形的贝叶斯公式来计算给定证据下假设(给定故障)发生的概率。1985年,Per1给出了贝叶斯网络方法,贝叶斯网络是一个有向无环图,其中节点是变量,弧表示相关变量之间的依存关系,变量的取值对应于证据与假设,变量之间的信赖程度用条件概率表示。近年来,我国学者张勤在贝叶斯网络的基础上,提出了因果有向图法,解决了贝叶斯网络无法处理环路的问题。 The earliest method of probabilistic reasoning is the uncertainty factor method, which was proposed by Shortliffe and Buchanan in 1975 to deal with uncertain information in the MUCIN system. In 1976, Duda et al. proposed the subjective Bayesian method and applied it to the design of the prospecting expert system PROSPECTOR. The subjective Bayesian method mainly uses the Bayesian formula and the deformed Bayesian formula to calculate the probability of a hypothesis (a given fault) occurring under a given evidence. In 1985, Per1 gave the Bayesian network method. The Bayesian network is a directed acyclic graph, in which the nodes are variables, and the arcs represent the dependencies between related variables. The values of variables correspond to evidence and assumptions. The degree of trust between variables is expressed by conditional probability. In recent years, Chinese scholar Zhang Qin proposed the causal directed graph method on the basis of Bayesian networks, which solved the problem that Bayesian networks cannot handle loops. the
然而,在利用贝叶斯网络、因果有向图等现有系统建模方法进行不确定性知识组织时,依靠专家知识而建立的不确定性推理模型本身存在随意性,不同专家利用同一方法针对同一系统问题所建立的模型也有可能不同。另外,由于系统本身的复杂性,所建模型通常庞大,导致了计算过程复杂,影响了诊断的实时性。 However, when using existing system modeling methods such as Bayesian networks and causal directed graphs to organize uncertain knowledge, the uncertainty reasoning model built on the basis of expert knowledge is inherently arbitrary, and different experts use the same method to target The models established for the same system problem may also be different. In addition, due to the complexity of the system itself, the built model is usually huge, resulting in a complicated calculation process and affecting the real-time performance of diagnosis. the
本发明主要目的是为船用核动力装置故障诊断提出一种规范化、模块化和层次化的人工系统不确定性知识表达和推理方法。本方法采用多层流模型(Multilevel Flow Models,MFM)作为系统知识表达方法。MFM是上世纪80年代丹麦技术大学的Morten Lind提出的,从认知科学的角度运用符号学方法从系统目标、功能以及物理部件三个角度描述复杂系统的设计目的及其实现手段。与其它建模方法不同,MFM不仅描述了复杂系统的过程行为,而且强调了这些行为的目的性。目标、功能以及物理部件通过不同的关系(包括达成关系、实现关系和条件关系)连接成一体,使MFM在“手段-目的”、“部分-整体”两个方向上可对目标系统进行多层次抽象。MFM引入“流”(Flow)的概念,“流”的传播遵循守恒原则。因此,用MFM描述系统具有模型规范、简单明了、清晰易懂、易于修改和验证等优点。 The main purpose of the invention is to propose a standardized, modularized and hierarchical artificial system uncertainty knowledge expression and reasoning method for fault diagnosis of marine nuclear power plants. This method uses multilevel flow models (Multilevel Flow Models, MFM) as the system knowledge representation method. MFM was proposed by Morten Lind of the Technical University of Denmark in the 1980s. From the perspective of cognitive science, semiotics is used to describe the design purpose and means of realization of complex systems from the perspectives of system goals, functions and physical components. Different from other modeling methods, MFM not only describes the process behavior of complex systems, but also emphasizes the purpose of these behaviors. Objectives, functions, and physical components are connected together through different relationships (including achievement relationships, realization relationships, and conditional relationships), so that MFM can perform multi-level analysis of the target system in the two directions of "means-purpose" and "part-whole". abstract. MFM introduces the concept of "Flow", and the propagation of "Flow" follows the principle of conservation. Therefore, using MFM to describe the system has the advantages of model specification, simplicity, clarity, understanding, modification and verification. the
在推理方法方面,结合BN的成功之处,采用概率对不确定性知识进行度量,描述故障模式与征兆之间,以及征兆与征兆之间的响应关系。由于在多层流模型中,每个功能都具有相应的约束条件,反映各个功能间的因果关系。因此,可依据多层流模型中各个功能间的连接关系。逐个网络按照功能与功能间的关系逐步展开,找出各个故障模式与各个征兆间的因果关系并比较其大小,完成诊断推理。 In terms of reasoning methods, combined with the success of BN, probability is used to measure uncertainty knowledge, and the response relationship between failure modes and symptoms, and between symptoms and symptoms is described. In the multi-layer flow model, each function has corresponding constraints, which reflect the causal relationship between each function. Therefore, it can be based on the connection relationship between various functions in the multi-layer flow model. Each network is gradually expanded according to the relationship between functions and functions, and the causal relationship between each failure mode and each symptom is found and compared to complete diagnostic reasoning. the
本发明的效果主要体现在: Effect of the present invention is mainly reflected in:
1)所提方法建模规范、简单、易于修改,适用于解决复杂系统问题。 1) The proposed method has standardized modeling, is simple and easy to modify, and is suitable for solving complex system problems. the
2)模型逻辑关系清晰,征兆和故障间的关系符合守恒原理,易于验证。 2) The logical relationship of the model is clear, and the relationship between symptoms and faults conforms to the principle of conservation, which is easy to verify. the
3)采用精确求解方法,所得推理结果准确。 3) Using the exact solution method, the inference results obtained are accurate. the
4)采用模块化计算,速度快、满足实时诊断需要。 4) Modular calculation is adopted, which is fast and meets the needs of real-time diagnosis. the
发明内容 Contents of the invention
本发明的目的是为船用核动力装置提供一种能够满足实时性要求的不确定性故障诊断方法。 The purpose of the invention is to provide an uncertain fault diagnosis method capable of meeting real-time requirements for a marine nuclear power plant. the
在阐述本发明的具体步骤之前,需要对文中涉及到的一些名词和字母的含义做出说明如下: Before setting forth the specific steps of the present invention, it is necessary to explain the meanings of some nouns and letters involved in the text as follows:
目标Gi:表示系统预期的目的,通常由一个或多个功能通过流网实现。 Goal G i : Indicates the expected purpose of the system, usually realized by one or more functions through the flow net.
流网NETWORK:一组相同属性且相互关联的功能组成的物质、能量或信息流,用于实现目标。 Flow network NETWORK: a set of material, energy or information flow composed of the same attributes and interrelated functions, used to achieve the goal. the
功能Fi:系统模型中的功能单元,是实际物理部件行使其功能的抽象。其功能的分类与约束条件如图2所示。 Function F i : the functional unit in the system model, which is the abstraction of the actual physical components performing their functions. The classification and constraints of its functions are shown in Figure 2.
状态变量Si:表示功能单元的运行状态,实际中Si可以为多状态,本申请书中假定所有功能(除Barrier功能外)为三状态,包括: State variable S i : indicates the operating state of the functional unit. In practice, S i can be multi-state. In this application, it is assumed that all functions (except the Barrier function) are three-state, including:
-OK状态,表示功能正常; -OK status, indicating that the function is normal;
-H状态,水位、流量、压力、温度等的异常高状态; -H state, abnormally high state of water level, flow, pressure, temperature, etc.;
-L状态,水位、流量、压力、温度等的异常低状态。 -L state, abnormally low state of water level, flow, pressure, temperature, etc. the
Barrier功能为两状态 Barrier function is two states
-OK状态,表示功能工作正常; -OK status, indicating that the function is working normally;
-N状态,Barrier不能完成规定功能; -N state, Barrier cannot complete the specified function;
故障:系统不能或者部分不能完成其指定功能的状态,在本说明书中可分为两种。 Fault: The state that the system cannot or partially fails to complete its designated functions, which can be divided into two types in this manual.
●部件故障Bi:是所分析功能的物理部件失效模式,如设备部分或全部损坏、操纵员误 操作所造成的开关元件的误开或误关等。 ●Component failure B i : It is the failure mode of the physical component of the analyzed function, such as partial or complete damage to the equipment, wrong opening or closing of the switching element caused by the operator's misoperation, etc.
●系统故障Xi:指非所分析功能的物理部件失效导致的故障,对应功能异常状态,又可以分为以下3种类型: ●System failure X i : refers to the failure caused by the failure of physical components other than the analyzed function, corresponding to the abnormal state of function, and can be divided into the following three types:
1.上游故障:由于上游功能的异常状态而导致的故障。 1. Upstream failure: A failure due to an abnormal state of an upstream function. the
2.下游故障:由于下游功能的异常状态而导致的故障。 2. Downstream failure: A failure due to an abnormal state of a downstream function. the
3.条件故障:由于功能所需条件尚未达成而导致的故障。 3. Conditional failure: a failure caused by the condition required for the function not being fulfilled. the
事件:分为基本事件和结果事件。基本事件位于因果树底端,对应物理失效模式;结果事件分为中间事件和顶事件,对应于功能状态,中间事件既是某一事件的原因事件,又是另一事件的结果事件;顶事件是所分析的目标事件,通常以顶事件展开因果分析。 Events: Divided into basic events and result events. The basic event is located at the bottom of the causal tree, corresponding to the physical failure mode; the result event is divided into intermediate events and top events, corresponding to the functional state, the intermediate event is not only the cause event of a certain event, but also the result event of another event; the top event is The target event to be analyzed is usually the top event for causal analysis. the
影响强度pij:表示某一事件的发生引起结果事件发生的可能性(0≤pij≤1,0表示两者之间完全无关,1表示两者之间完全相关)。 Influence intensity p ij : Indicates the possibility that the occurrence of a certain event will cause the occurrence of the result event (0≤p ij ≤1, 0 indicates that there is no relationship between the two, and 1 indicates that there is a complete correlation between the two).
因果子树:以目标功能的某一状态作为顶事件展开因果分析,底事件仅由该功能本身的部件故障以及与该功能直接相关的系统故障所构成的树形结构称之为因果子树。 Causal subtree: The causal analysis is carried out with a certain state of the target function as the top event, and the bottom event is only composed of component failures of the function itself and system failures directly related to the function. The tree structure is called the causal subtree. the
因果树:以目标功能的某一状态作为顶事件展开因果分析,底事件由各功能的部件故障所构成的树形结构称之为因果树。 Causal tree: The causal analysis is carried out with a certain state of the target function as the top event, and the tree structure formed by the component failure of each function as the bottom event is called the causal tree. the
本发明的具体实施步骤如下: Concrete implementation steps of the present invention are as follows:
第一步,当系统发生故障时,首先根据系统观测量(即系统运行参数)确定各目标是否达成,确定分析网络。 In the first step, when the system fails, firstly, according to the system observation (that is, the system operating parameters), it is determined whether each goal is achieved, and the analysis network is determined. the
在多层流模型中,目标是由一个或多个功能以流网的形式实现。因此,当某个目标达成时,可认为在当前时刻实现该目标的流网的主要功能正常,因此可以把流网整体作为一个未展开事件不予分析。 In the multilayer flow model, the goal is achieved by one or more functions in the form of a flownet. Therefore, when a certain goal is achieved, it can be considered that the main function of the flownet that realizes the goal at the current moment is normal, so the flownet as a whole can be regarded as an unexpanded event and not analyzed. the
第二步,根据系统观测量,确定各功能Fi的运行状态Si。以Si为顶事件分别展开成因果子树。若某功能Fi的运行状态Si为已知,则按照已知状态展开;若某功能Fi的状态变量Si为未知,则需对Si对应的所有状态(H、L和OK)事件分别展开分析。 The second step is to determine the running state S i of each function F i according to the system observation. The event with S i as the top event is expanded into a causal subtree. If the operating state S i of a certain function F i is known, it will be expanded according to the known state; if the state variable S i of a certain function F i is unknown, then all states (H, L and OK) corresponding to S i need to be Events were analyzed separately.
第三步,求取功能Fi的状态变量Si的因果树。在第一步所得到的以各个功能状态变量为目标的因果子树的基础上,连接并展开中间事件直至基本事件为止,得到以Si为顶事件的因 果树。 The third step is to obtain the causal tree of the state variable S i of the function F i . On the basis of the causal subtree targeted at each functional state variable obtained in the first step, connect and expand the intermediate events until the basic event, and obtain the causal tree with S i as the top event.
由于系统的非自反性,即事件不能成为自己的原因,因此在展开形成因果树时,需要在因果链中与上层事件形成因果环路处进行截断。 Due to the non-reflexive nature of the system, that is, the event cannot be its own cause, so when the causal tree is formed, it needs to be truncated at the point where the causal chain forms a causal loop with the upper event. the
第四步,将上述因果树翻译成微GO-FLOW(一种概率分析方法)模型,GO-FLOW模型中各个元件代表的含义如图3所示。 The fourth step is to translate the causal tree above into a micro GO-FLOW (a probability analysis method) model, and the meanings represented by each component in the GO-FLOW model are shown in Figure 3. the
翻译规则如下: The translation rules are as follows:
1)基本事件由起始信号发生器25号操作符表示,25号操作符在GO-FLOW中用来模拟单信号发生器,仅有一个输出信号。在本方法中可以模拟基本事件的影响传播。其基本事件的发生概率可以用输入信号的强度来表示。 1) The basic event is represented by the No. 25 operator of the start signal generator. The No. 25 operator is used to simulate a single signal generator in GO-FLOW and has only one output signal. In this method the influence propagation of elementary events can be simulated. The probability of occurrence of its basic events can be expressed by the strength of the input signal. the
2)影响强度由二状态元件21号操作符表示,21号操作符在GO-FLOW中用来模拟只有两种状态的元部件。在本方法中可以用来模拟表示原因与结果之间影响关系的响应强度pij。 2) The influence strength is represented by the No. 21 operator of the two-state element, and the No. 21 operator is used in GO-FLOW to simulate components with only two states. In this method, it can be used to simulate the response intensity p ij representing the influence relationship between the cause and the effect.
3)逻辑关系“或”用22号操作符表示,22号操作符在GO-FLOW中用来模拟多个信号的或门逻辑关系,有多个输入信号和一个输出信号,在本方法中用来模拟多个事件的逻辑“或”关系。 3) The logical relationship "or" is represented by the No. 22 operator. The No. 22 operator is used to simulate the OR gate logic relationship of multiple signals in GO-FLOW. There are multiple input signals and one output signal. In this method, use To simulate the logical "OR" relationship of multiple events. the
4)逻辑关系“与”用30号操作符表示,30号操作符在GO-FLOW中用来模拟多个信号的与门逻辑关系,有多个输入信号和一个输出信号,在本方法中用来模拟多个事件的逻辑“与”关系。 4) The logical relationship "AND" is represented by operator No. 30. Operator No. 30 is used to simulate the AND gate logic relationship of multiple signals in GO-FLOW. There are multiple input signals and one output signal. In this method, use To simulate the logical "AND" relationship of multiple events. the
5)中间事件可以由基本事件与影响强度通过逻辑“与”与逻辑“或”的组合来表示。 5) Intermediate events can be represented by the combination of basic events and impact intensity through logical "and" and logical "or".
第五步,求取所有异常功能状态的状态参量Si的交集,得到证据E。 The fifth step is to obtain the intersection of the state parameters S i of all abnormal function states to obtain the evidence E.
在本说明书中,定义所有监测到的异常功能状态Si的交集称为证据,即E=S1·S2···Sn(n为处于异常状态的功能个数) In this specification, the intersection of all monitored abnormal function states S i is defined as evidence, that is, E=S 1 ·S 2 ···S n (n is the number of functions in abnormal states)
第六步,求取各个部件故障Bi对证据的影响强度Pi。 The sixth step is to calculate the impact intensity P i of each component failure B i on the evidence.
由Bayesian公式有:
比较其各个部件故障Pi的大小,概率值越大的,发生的可能性越大。 Comparing the size of the failure P i of its various components, the greater the probability value, the greater the possibility of occurrence.
附图说明 Description of drawings
图1是本方法的简要流程图; Fig. 1 is the brief flowchart of this method;
图2是MFM中的功能图示及约束条件; Figure 2 is the functional diagram and constraints in MFM;
图3是GO-FLOW各操作符功能定义表; Figure 3 is the function definition table of each operator of GO-FLOW;
图4是核电系统简图; Figure 4 is a schematic diagram of the nuclear power system;
图5是图2所示的蒸汽发生器系统的MFM简图; Fig. 5 is the MFM diagram of the steam generator system shown in Fig. 2;
图6-1至图6-9是各功能状态的因果子树,其中: Figure 6-1 to Figure 6-9 are the causal subtrees of each functional state, where:
图6-1:以F1(H)为顶事件展开的因果子树; Figure 6-1: The causal subtree expanded with F1(H) as the top event;
图6-2:以F2(L)为顶事件展开的因果子树; Figure 6-2: The causal subtree expanded with F2(L) as the top event;
图6-3:以F3(H)为顶事件展开的因果子树; Figure 6-3: The causal subtree expanded with F3(H) as the top event;
图6-4:以F4(OK)为顶事件展开的因果子树; Figure 6-4: The causal subtree expanded with F4(OK) as the top event;
图6-5:以F5(OK)为顶事件展开的因果子树; Figure 6-5: The causal subtree expanded with F5 (OK) as the top event;
图6-6:以F9(H)为顶事件展开的因果子树; Figure 6-6: The causal subtree expanded with F9(H) as the top event;
图6-7:以F10(OK)为顶事件展开的因果子树; Figure 6-7: The causal subtree expanded with F10(OK) as the top event;
图6-8:以F11(OK)为顶事件展开的因果子树; Figure 6-8: The causal subtree expanded with F11(OK) as the top event;
图6-9:以F12(OK)为顶事件展开的因果子树; Figure 6-9: The causal subtree expanded with F12(OK) as the top event;
图7-1至图7-4是异常功能状态的因果树,其中: Figures 7-1 through 7-4 are causal trees for abnormal functioning states, where:
图7-1:以F1(H)为顶事件展开的因果树; Figure 7-1: The causal tree expanded with F1(H) as the top event;
图7-2:以F2(L)为顶事件展开的因果树; Figure 7-2: The causal tree expanded with F2(L) as the top event;
图7-3:以F3(H)为顶事件展开的因果树; Figure 7-3: The causal tree expanded with F3(H) as the top event;
图7-4:以F9(H)为顶事件展开的因果树; Figure 7-4: The causal tree expanded with F9(H) as the top event;
图8-1至图8-4是图5中的因果树翻译形成的GO-FLOW模型,其中: Figure 8-1 to Figure 8-4 are the GO-FLOW models formed by the translation of the causal tree in Figure 5, where:
图8-1:以F1(H)为顶事件的因果树翻译成的GO-FLOW模型; Figure 8-1: The GO-FLOW model translated from the causal tree with F1(H) as the top event;
图8-2:以F2(L)为顶事件的因果树翻译成的GO-FLOW模型; Figure 8-2: The GO-FLOW model translated from the causal tree with F2(L) as the top event;
图8-3:以F3(H)为顶事件的因果树翻译成的GO-FLOW模型; Figure 8-3: The GO-FLOW model translated from the causal tree with F3(H) as the top event;
图8-4:以F9(H)为顶事件的因果树翻译成的GO-FLOW模型; Figure 8-4: The GO-FLOW model translated from the causal tree with F9(H) as the top event;
图9是以证据为目标GO-FLOW模型; Figure 9 is the evidence-based GO-FLOW model;
图10是MFM模型中各功能的功能语义与评价参数表;。 Figure 10 is a table of functional semantics and evaluation parameters of each function in the MFM model; the
图11是所得推理结果。 Figure 11 is the obtained inference results. the
具体实施方式 Detailed ways
图1是本方法的简要流程图,本方法是在大量核电运行经验的前提下,由该领域的专家对核电站运行的功能进行评价,建立多层流模型,设定表述各个功能部件变量(温度、压力、水位等)正常变化域,定义功能状态的“H”、“L”以及“OK”。并由专家打分按照设备的真实运行情况,给出各个功能间相互响应的概率值的大小。 Fig. 1 is a brief flow chart of this method. This method is based on the premise of a large amount of nuclear power operation experience, and the experts in this field evaluate the function of nuclear power plant operation, establish a multilayer flow model, and set and express each functional component variable (temperature , pressure, water level, etc.) normal change domain, which defines "H", "L" and "OK" of the functional state. And according to the actual operation of the equipment, the expert will give the probability value of the mutual response between each function. the
参照图4是核电系统包括反应堆S1、稳压器S2、蒸汽发生器S3、汽轮机S4、给水泵S5和主泵S6。蒸汽发生器系统建立的多层流模型如图5所示,其中,B1为蒸汽发生器传热管断裂事故(SGTR);B2为主蒸汽管道破裂事故(MSLB);B3为主给水泵停转。G0为核电站发电目标;G1为向蒸汽发生器提供冷却剂目标;G2为向蒸汽发生器提供冷却水目标;G3为二回路放射性检测;G4为外电源为给水泵供电。各个功能部件所代表的物理意义如图8所示。 Referring to Fig. 4, the nuclear power system includes a reactor S1, a pressurizer S2, a steam generator S3, a steam turbine S4, a feed water pump S5 and a main pump S6. The multilayer flow model established by the steam generator system is shown in Figure 5, where B1 is the steam generator heat transfer tube rupture accident (SGTR); B2 is the main steam pipe rupture accident (MSLB); B3 is the main feed water pump stoppage . G0 is the power generation goal of the nuclear power plant; G1 is the goal of providing coolant to the steam generator; G2 is the goal of providing cooling water to the steam generator; G3 is the radioactive detection of the secondary circuit; G4 is the external power supply for the water pump. The physical meaning represented by each functional component is shown in Figure 8. the
由专家打分给出各个功能部件的响应关系如下: The response relationship of each functional component given by experts is as follows:
B1=10-5,B2=10-5,B3=10-8 B1=10 -5 , B2=10 -5 , B3=10 -8
B1→F8(N):1.0 B2→F4(L):0.9 B2→F10(L):0.9 B3→F12(L):1.0 B1→F8(N):1.0 B2→F4(L):0.9 B2→F10(L):0.9 B3→F12(L):1.0
F1(H)→F2(H):0.9 F1(H)→F2(OK):0.1 F1(H)→F2(H):0.9 F1(H)→F2(OK):0.1
F1(OK)→F2(OK):0.8 F1(OK)→F2(H):0.1 F1(OK)→F2(L):0.1 F1(OK)→F2(OK):0.8 F1(OK)→F2(H):0.1 F1(OK)→F2(L):0.1
F1(L)→F2(L):0.9 F1(L)→F2(OK):0.1 F1(L)→F2(L):0.9 F1(L)→F2(OK):0.1
F2(H)→F3(H):0.9 F2(H)→F3(OK):0.1 F2(H)→F1(L):0.8 F2(H)→F1(OK):0.2 F2(H)→F3(H):0.9 F2(H)→F3(OK):0.1 F2(H)→F1(L):0.8 F2(H)→F1(OK):0.2
F2(OK)→F3(OK):0.8 F2(OK)→F3(H):0.1 F2(OK)→F3(L):0.1 F2(OK)→F1(OK):0.8F2(OK)→F1(H):0.1 F2(OK)→F1(L):0.1 F2(OK)→F3(OK):0.8 F2(OK)→F3(H):0.1 F2(OK)→F3(L):0.1 F2(OK)→F1(OK):0.8F2(OK)→F1 (H):0.1 F2(OK)→F1(L):0.1
F2(L)→F3(L):0.8 F2(L)→F3(OK):0.2 F2(L)→F1(H):0.9 F2(L)→F1(OK):0.1 F2(L)→F3(L):0.8 F2(L)→F3(OK):0.2 F2(L)→F1(H):0.9 F2(L)→F1(OK):0.1
F3(H)→F4(H):0.9 F3(H)→F4(OK):0.1 F3(H)→F2(L):0.8 F3(H)→F2(OK):0.2 F3(H)→F4(H):0.9 F3(H)→F4(OK):0.1 F3(H)→F2(L):0.8 F3(H)→F2(OK):0.2
F3(OK)→F4(OK):0.8 F3(OK)→F4(H):0.1 F3(OK)→F4(L):0.1 F3(OK)→F2(OK):0.8F3(OK)→F2(H):0.1 F3(OK)→F2(L):0.1 F3(OK)→F4(OK):0.8 F3(OK)→F4(H):0.1 F3(OK)→F4(L):0.1 F3(OK)→F2(OK):0.8F3(OK)→F2 (H):0.1 F3(OK)→F2(L):0.1
F3(L)→F4(L):0.9 F3(L)→F4(OK):0.1 F3(L)→F2(H):0.8 F3(OK)→F2(OK):0.2 F3(L)→F4(L):0.9 F3(L)→F4(OK):0.1 F3(L)→F2(H):0.8 F3(OK)→F2(OK):0.2
F4(H)→F5(H):0.8 F4(H)→F5(OK):0.2 F4(H)→F3(L):0.9 F4(H)→F3(OK):0.1 F4(H)→F5(H):0.8 F4(H)→F5(OK):0.2 F4(H)→F3(L):0.9 F4(H)→F3(OK):0.1
F4(OK)→F5(OK):0.8 F4(OK)→F5(H):0.1 F4(OK)→F5(L):0.1 F4(OK)→F5(OK):0.8F4(OK)→F5(H):0.1 F4(OK)→F5(L):0.1 F4(OK)→F5(OK):0.8 F4(OK)→F5(H):0.1 F4(OK)→F5(L):0.1 F4(OK)→F5(OK):0.8F4(OK)→F5 (H):0.1 F4(OK)→F5(L):0.1
F4(L)→F5(L):0.9 F4(L)→F5(OK):0.1 F4(L)→F3(H):0.9 F4(L)→F3(OK):0.1 F4(L)→F5(L):0.9 F4(L)→F5(OK):0.1 F4(L)→F3(H):0.9 F4(L)→F3(OK):0.1
F5(H)→F4(L):0.9 F5(H)→F4(OK):0.1 F5(H)→F4(L):0.9 F5(H)→F4(OK):0.1
F5(OK)→F4(OK):0.8 F5(OK)→F4(L):0.1 F5(OK)→F4(H):0.1 F5(OK)→F4(OK):0.8 F5(OK)→F4(L):0.1 F5(OK)→F4(H):0.1
F5(L)→F4(H):0.8 F5(L)→F4(OK):0.2 F5(L)→F4(H):0.8 F5(L)→F4(OK):0.2
F6(H)→F7(H):0.9 F6(H)→F7(OK):0.1 F6(H)→F7(H):0.9 F6(H)→F7(OK):0.1
F6(OK)→F7(OK):0.8 F6(OK)→F7(L):0.1 F6(OK)→F7(H):0.1 F6(OK)→F7(OK):0.8 F6(OK)→F7(L):0.1 F6(OK)→F7(H):0.1
F6(L)→F7(L):0.9 F6(L)→F7(OK):0.1 F6(L)→F7(L):0.9 F6(L)→F7(OK):0.1
F7(H)→F6(L):0.8 F7(H)→F6(OK):0.2 F7(H)→F6(L):0.8 F7(H)→F6(OK):0.2
F7(OK)→F6(OK):0.8 F7(OK)→F6(L):0.1 F7(OK)→F6(H):0.1 F7(OK)→F6(OK):0.8 F7(OK)→F6(L):0.1 F7(OK)→F6(H):0.1
F7(L)→F6(H):0.9 F7(L)→F6(OK):0.1 F7(L)→F6(H):0.9 F7(L)→F6(OK):0.1
F8(N)→F6(L):0.9 F8(N)→F6(OK):0.1 F8(N)→F9(H):0.9 F8(N)→F9(OK):0.9F8(N)→F3(H):0.9 F8(N)→F3(OK):0.1 F8(N)→F6(L):0.9 F8(N)→F6(OK):0.1 F8(N)→F9(H):0.9 F8(N)→F9(OK):0.9F8(N)→F3 (H):0.9 F8(N)→F3(OK):0.1
F8(OK)→F6(OK):1.0 F8(OK)→F9(OK):1.0 F8(OK2)→F3(OK):1.0 F8(OK)→F6(OK):1.0 F8(OK)→F9(OK):1.0 F8(OK2)→F3(OK):1.0
F9(H)→F10(H):0.8 F9(H)→F10(OK):0.2 F9(H)→F12(L):0.9 F9(H)→F12(OK):0.1 F9(H)→F10(H):0.8 F9(H)→F10(OK):0.2 F9(H)→F12(L):0.9 F9(H)→F12(OK):0.1
F9(OK)→F10(OK):0.8 F9(OK)→F10(H):0.1 F9(OK)→F10(L):0.1 F9(OK)→F12(OK):0.8 F9(OK)→F12(H):0.1 F9(OK)→F12(L):0.1 F9(OK)→F10(OK):0.8 F9(OK)→F10(H):0.1 F9(OK)→F10(L):0.1 F9(OK)→F12(OK):0.8 F9(OK)→F12 (H):0.1 F9(OK)→F12(L):0.1
F9(L)→F10(L):0.9 F9(L)→F10(OK):0.1 F9(L)→F12(H):0.9 F9(L)→F12(OK):0.1 F9(L)→F10(L):0.9 F9(L)→F10(OK):0.1 F9(L)→F12(H):0.9 F9(L)→F12(OK):0.1
F10(H)→F11(H):0.8 F10(H)→F11(OK):0.2 F10(H)→F9(L):0.9 F10(H)→F9(OK):0.1 F10(H)→F11(H):0.8 F10(H)→F11(OK):0.2 F10(H)→F9(L):0.9 F10(H)→F9(OK):0.1
F10(OK)→F11(OK):0.8 F10(OK)→F11(H):0.1 F10(OK)→F11(L):0.1 F10(OK)→F9(OK):0.8 F10(OK)→F9(H):0.1 F10(OK)→F9(L):0.1 F10(OK)→F11(OK):0.8 F10(OK)→F11(H):0.1 F10(OK)→F11(L):0.1 F10(OK)→F9(OK):0.8 F10(OK)→F9 (H):0.1 F10(OK)→F9(L):0.1
F10(L)→F11(L):0.9 F10(L)→F11(OK):0.1 F10(L)→F9(H):0.9 F10(L)→F9(OK):0.1 F10(L)→F11(L):0.9 F10(L)→F11(OK):0.1 F10(L)→F9(H):0.9 F10(L)→F9(OK):0.1
F11(H)→F12(H):0.8 F11(H)→F12(OK):0.2 F11(H)→F10(L):0.9 F11(H)→ F10(OK):0.1 F11(H)→F12(H):0.8 F11(H)→F12(OK):0.2 F11(H)→F10(L):0.9 F11(H)→F10(OK):0.1
F11(OK)→F12(OK):0.8 F11(OK)→F12(H):0.1 F11(OK)→F12(L):0.1 F11(OK)→F10(OK):0.8 F11(OK)→F10(H):0.1 F11(OK)→F10(L):0.1 F11(OK)→F12(OK):0.8 F11(OK)→F12(H):0.1 F11(OK)→F12(L):0.1 F11(OK)→F10(OK):0.8 F11(OK)→F10 (H):0.1 F11(OK)→F10(L):0.1
F11(L)→F12(L):0.9 F11(L)→F12(OK):0.1 F11(L)→F10(H):0.9 F11(L)→F10(OK):0.1 F11(L)→F12(L):0.9 F11(L)→F12(OK):0.1 F11(L)→F10(H):0.9 F11(L)→F10(OK):0.1
F12(H)→F9(H):0.8 F12(H)→F9(OK):0.2 F12(H)→F11(L):0.9 F12(H)→F11(OK):0.1 F12(H)→F9(H):0.8 F12(H)→F9(OK):0.2 F12(H)→F11(L):0.9 F12(H)→F11(OK):0.1
F12(OK)→F9(OK):0.8 F12(OK)→F9(H):0.1 F12(OK)→F9(L):0.1 F12(OK)→F11(OK):0.8 F12(OK)→F11(H):0.1 F12(OK)→F11(L):0.1 F12(OK)→F9(OK):0.8 F12(OK)→F9(H):0.1 F12(OK)→F9(L):0.1 F12(OK)→F11(OK):0.8 F12(OK)→F11 (H):0.1 F12(OK)→F11(L):0.1
F12(L)→F9(L):0.9 F12(L)→F9(OK):0.1 F12(L)→F11(H):0.9 F12(L)→F11(OK):0.1 F12(L)→F9(L):0.9 F12(L)→F9(OK):0.1 F12(L)→F11(H):0.9 F12(L)→F11(OK):0.1
现假设整个系统发生SGTR故障,探测器探测到的各功能原件的状态为: Now assume that the entire system has a SGTR failure, and the status of each functional component detected by the detector is:
F1(H),F2(L),F3(H),F4(OK),F5(OK),F6(OK),F7(OK),F8(N),F9(H),F10(OK),F11(OK),F12(OK)。 F1(H), F2(L), F3(H), F4(OK), F5(OK), F6(OK), F7(OK), F8(N), F9(H), F10(OK), F11(OK), F12(OK). the
第一步,核对各目标是否达成,确定所需分析的网络。 The first step is to check whether each goal is achieved and determine the network to be analyzed. the
根据探测到各功能的状态可知,G0未达成,G1达成,G2未达成,G3达成,G4监测到放射性。以此,所需分析的流网为N0,N2以及功能F8。 According to the detected status of each function, it can be known that G0 is not achieved, G1 is achieved, G2 is not achieved, G3 is achieved, and radioactivity is detected in G4. Therefore, the flow nets to be analyzed are N0, N2 and function F8. the
第二步,根据功能Fi的状态变量Si,求出所有功能部件的状态变量的因果子树,如图6所示。 In the second step, according to the state variable S i of the function F i , the causal subtree of the state variables of all functional components is obtained, as shown in Fig. 6 .
第三步,在第一步的基础上进一步化简,将因果子树中的未展开事件展开,求取功能Fi的状态变量Si的因果树,如图7所示。 The third step is to further simplify on the basis of the first step, expand the unexpanded events in the causal subtree, and obtain the causal tree of the state variable S i of the function F i , as shown in Figure 7.
第四步,将第二步形成的因果图翻译成如图8所示的微GO-FLOW模型。 The fourth step is to translate the causal graph formed in the second step into the micro GO-FLOW model shown in Figure 8. the
第五步,求取所有异常功能状态的状态变量Si的交集,得到以证据E为目标的GO-FLOW 模型,如图9所示。 The fifth step is to obtain the intersection of the state variables S i of all abnormal function states, and obtain the GO-FLOW model with the evidence E as the target, as shown in Figure 9.
证据E=F1(H)·F2(L)·F3(H)·F9(H) Evidence E=F 1 (H) · F 2 (L) · F 3 (H) · F 9 (H)
第六步,求取各个部件故障Bi对证据的影响强度Pi。 The sixth step is to calculate the impact intensity P i of each component failure B i on the evidence.
由Bayesian公式有:
所得结果如图11所示。 The results obtained are shown in Figure 11. the
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