CN110489898B - Dynamic multi-level system modeling and state prediction method based on hybrid cognition - Google Patents

Dynamic multi-level system modeling and state prediction method based on hybrid cognition Download PDF

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CN110489898B
CN110489898B CN201910787419.9A CN201910787419A CN110489898B CN 110489898 B CN110489898 B CN 110489898B CN 201910787419 A CN201910787419 A CN 201910787419A CN 110489898 B CN110489898 B CN 110489898B
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王立志
王晓红
孙玉胜
范文慧
赵雪娇
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Abstract

The invention discloses a dynamic multi-level system modeling and state prediction method based on hybrid cognition, which comprises the following steps: firstly, carrying out system analysis by using a fault tree and static Bayesian network method; step two, analyzing the dynamic multi-level system by using the hybrid cognitive method, and constructing a static Bayesian network B ═ (B)1θ); step three, expanding the static Bayesian network into a dynamic Bayesian network to form a system state prediction model; fourthly, reasoning, evaluating and predicting the health state of the dynamic multi-level system; the invention provides a hybrid cognitive system analysis method, which can solve the problem that a fault tree and static Bayesian network method are not completely cognized to a dynamic multi-level system, and a static Bayesian network model established on the basis of hybrid cognition has higher system state prediction accuracy; the system state prediction model established by the invention can utilize the base level component data to carry out reasoning evaluation and prediction on the overall state of the system and master the change trend of the system state.

Description

Dynamic multi-level system modeling and state prediction method based on hybrid cognition
Technical Field
The invention relates to a hybrid cognitive method for analyzing a dynamic multi-level system by combining a fault tree, a static Bayesian network and a STAMP (static state prediction) method aiming at data of a base-level component in the dynamic multi-level system, and a system prediction model is constructed by utilizing the dynamic Bayesian network on the basis of analysis, belonging to the technical field of system modeling and state prediction.
Background
For a dynamic multi-level system product, the development of state prediction modeling is a very necessary work, the state of the system can be evaluated by constructing a prediction model of the system, the state of the system can be mastered, accidents are avoided, and follow-up system maintenance and other works can be guided. At present, for a dynamic multi-hierarchy system, state prediction modeling is mainly realized by classical methods such as fault tree analysis, static Bayesian network, combination of fault tree and static Bayesian network, and the like. However, in the research of the classical analysis method, the model obtained by the fault tree analysis is often directly converted into a static bayesian network structure, so that the structure of the established model is completely dependent on the result of the fault tree analysis and the hidden relationship in the network cannot be found, and meanwhile, the established model cannot continuously predict the system state over time, so that the evaluation result of the established prediction model has a large deviation from the actual state in the practical application. Therefore, it is necessary to further provide a more suitable method for analyzing the complex relationship of the dynamic multi-level system and establishing a prediction model for dynamic continuous prediction.
In the aspect of state prediction modeling of a dynamic multi-level system, the dynamic Bayesian network is an effective method at present, inherits the advantages of a static Bayesian network in solving the uncertainty problem, represents the complex logic relationship in the dynamic multi-level system, and can describe the time sequence change of the system state; the construction of the model of the dynamic Bayesian network needs to perform comprehensive and accurate analysis on a dynamic multi-level system, the classical analysis method combining a fault tree and the static Bayesian network excessively depends on expert knowledge, and in order to provide a more reasonable system analysis method, STAMP analysis is introduced from the perspective of safety and risk analysis on the basis of the classical analysis method, a new hybrid cognitive method is formed by combining the fault tree with the static Bayesian network method and the STAMP analysis and utilizing data of a base-level component, a hidden relation in the static Bayesian network model is searched by utilizing the hybrid cognitive method, model parameters in the network are trained, and a more complete static Bayesian network model is established. The hybrid cognitive method and the dynamic Bayesian network modeling method can provide an effective technical approach for the problems.
Therefore, for specific problems to be solved, the patent proposes a dynamic multi-level system state prediction modeling method based on a hybrid cognition (combination of a fault tree and a static bayesian network method, STAMP analysis and data training of a base level component) method and a dynamic bayesian network, and the method has certain originality.
Disclosure of Invention
The invention aims to solve the problems and provides a method which can comprehensively and accurately recognize the internal structure of a dynamic multi-level system and establish a state prediction model of the system so as to obtain an accurate and effective dynamic multi-level system state prediction result.
The method comprises the following specific steps:
firstly, carrying out system analysis by using a fault tree and static Bayesian network method;
step two, analyzing the dynamic multi-level system by using the hybrid cognitive method, and constructing a static Bayesian network B ═ (B)1,θ);
Step three, expanding the static Bayesian network into a dynamic Bayesian network to form a system state prediction model;
and fourthly, reasoning, evaluating and predicting the state of the dynamic multi-level system.
The invention has the advantages that:
(1) the invention provides a hybrid cognitive system analysis method, and the internal logic of the dynamic multi-level system is effectively described and modelled;
(2) the invention establishes a dynamic Bayesian network model of the dynamic multi-level system, and can evaluate and predict the state of the dynamic multi-level system in time sequence.
Drawings
FIG. 1 is a flow chart of the present invention;
FIG. 2 is a flow chart of a hybrid cognitive method implementation;
FIG. 3 is a fault tree diagram of an energy storage battery system;
FIG. 4 is a static Bayesian network plot derived by a classical approach;
FIG. 5 is a diagram of an energy storage battery system control process;
FIG. 6 is a static Bayesian network plot derived from a hybrid cognitive approach;
FIG. 7 is a diagram of a dynamic Bayesian network model;
FIG. 8 is a diagram of energy storage battery system state estimation and prediction;
Detailed Description
The present invention will be described in further detail with reference to the accompanying drawings and examples.
The flow chart of the method is shown in fig. 1, and comprises the following steps:
step one, carrying out system analysis by utilizing fault tree and static Bayesian network method
The dynamic multi-hierarchy system is composed of a plurality of subsystems, a plurality of devices and component interaction, the degradation or failure of the subsystems, the components and the devices can directly affect the system state change, so the structural and logical relations between the components and the devices and the subsystems need to be known firstly to predict the system state change.
The failure tree analysis method can summarize the reasons causing the system failure, and for the dynamic multi-level system, the failure tree analysis method can find out the events causing the fatal failure of the complex system due to the combination of low-level failure events. The fault tree is thus first established for the multi-level system. Because the fault tree can only represent the states of occurrence and non-occurrence of events, the description accuracy of the system state is not enough, and then the established fault tree is converted into a static Bayesian network B0The method is shown in table 1.
Table 1 fault tree to bayesian network mapping table
Figure BDA0002178506810000031
Step two, analyzing the dynamic multi-level system by using the hybrid cognitive method, and constructing a static Bayesian network B ═ (B)1,θ)。
The hybrid cognitive analysis method provided by the patent firstly establishes a static Bayesian network B in the step one0On the basis, the multi-level system is taken as a whole by using the STAMP method, and the interaction relation R in the operation process of the internal equipment is analyzedsSearching for failure caused by interaction among subsystems and components in the system; then the interaction relation RsIs expressed as B in the step one0The network lacks directed edges, forming B1A network structure; finally, the data set D (C, t) of the base-level component is input into the network B1Training the network to obtain B1The probability relation theta among the network nodes realizes the quantitative description of the network node relation, and the construction of the static Bayesian network B (B) is completed1,θ)。
The flow of the hybrid cognitive method is shown in fig. 2.
Step three, expanding the static Bayesian network into a dynamic Bayesian network to form a system state prediction model;
the static Bayesian network in the step two is extended into a dynamic Bayesian network according to time, and the dynamic Bayesian network is used (B, B)) Denotes the initial t0Time-of-day network structure in which a probability distribution P (Z) of an initial time-of-day is given1),BRepresenting a bayesian network comprising two time slices, the conditional probability distribution between nodes between two adjacent time slices in the network structure being:
Figure BDA0002178506810000041
wherein,
Figure BDA0002178506810000042
is the ith node on the t-th time slice,
Figure BDA0002178506810000043
is that
Figure BDA0002178506810000044
The parent node of (2).
And determining the transition probability of the Bayesian network of two time slices by using an EM (expectation maximization) algorithm by means of the data set of the base level component, and completing the construction of a multi-level state prediction model, wherein the implementation tool is GeNIe software.
Fourthly, reasoning, evaluating and predicting the state of the dynamic multi-level system;
in the third step, a state prediction model of the dynamic multi-level system is established, the joint tree reasoning algorithm is used for reasoning the model, and all nodes in the model assume three states of Normal (Normal), Degraded (Degraded) and Failure (Failure). T at the existing base level component data0~iReasoning and evaluating the system state within the moment, and performing tiThe time with the probability of the three states being greater is taken as the system state, such as PNormal>PDegraded>PFailureThen at tiThe system is considered to be in a Normal state (Normal) at that time. T at unknown base level component datajAnd (3) predicting the system state at any moment, respectively obtaining the probability of the system in three states of Normal (Normal), Degraded (Degraded) and Failure (Failure), grasping the state change trend of the system, and guiding the system to maintain and the like.
Example (b):
the method of the present invention will now be described with reference to the application of an energy storage battery system.
Firstly, carrying out system analysis by using a fault tree and static Bayesian network method;
firstly, performing fault tree analysis on an energy storage battery pack system to obtain a basic event causing system fault, wherein a fault tree is shown in fig. 3; the fault tree model is then converted to a static bayesian network structure (DAG) as shown in fig. 4, with the parameters in the network given by the fault tree logical relationships and expert experience.
And step two, analyzing a certain energy storage battery pack system by using a hybrid cognitive method, and perfecting the static Bayesian network formed in the step one.
First, a control process model diagram obtained by performing STAMP analysis on the energy storage battery system is shown in fig. 5. Through the STAMP analysis result, it can be known that the states of the single batteries 1 and 2 in the energy storage battery system not only directly affect the branch subsystem 1, but also affect the branch subsystem 2, for example, when the single batteries 1 are obviously degraded, the current of the branch subsystem 2 is obviously increased, and the states of the single batteries 3 and 4 also indirectly affect the state change of the branch subsystem 1. Therefore, in the static bayesian network, they should have a logical relationship, so the bayesian network structure is improved, and the complete bayesian network of the energy storage battery system is shown in fig. 6.
And then, training and inputting the state data of 300 groups of single batteries into parent nodes of the Bayesian network shown in FIG. 6, training to obtain network parameters, and completing hybrid cognition on the energy storage battery as shown in Table 2.
TABLE 2 static Bayesian network node parameter Table
Figure BDA0002178506810000051
The bayesian network obtained by mixed cognition is reasoned and compared with the classical Bayesian Network (BN) shown in fig. 4, the remaining unused 132 groups of data are respectively input into the two network structures, and the system state is reasoned, and the inference result is shown in table 3.
TABLE 3 comparison of prediction accuracy of hybrid cognitive Bayesian networks to classical Bayesian networks
Figure BDA0002178506810000052
The results in the table are analyzed, and the static Bayesian network constructed by analyzing the system through the hybrid cognitive method has higher state inference accuracy than the classical Bayesian network, and the dynamic Bayesian network established on the basis can infer and predict the state change of the system more accurately in time sequence.
Step three, expanding the static Bayesian network into a dynamic Bayesian network to form a system state prediction model;
the static bayesian network of the system is expanded in time sequence, and on the basis, a network structure with n time slices can be formed as shown in fig. 7. The transition probability of C1, C2, C3 and C4 between two time slices, namely B, obtained by the EM algorithmInner conditional probability distribution as shown in tables 4 and 5.
TABLE 4 parameters of each C1, C2 node in the dynamic Bayesian network model
Figure BDA0002178506810000053
TABLE 5 parameters of each C3, C4 node in the dynamic Bayesian network model
Figure BDA0002178506810000054
Fourthly, reasoning, evaluating and predicting the state of the dynamic multi-level system;
for energy storage battery systems with the same type, the historical data of the node states of each component is known to be shown in table 6, the dynamic bayesian network model constructed in the third step of the invention can be applied to carry out inference estimation on the system states, the probability that the system is in three states in 20 moments can be obtained and is shown in fig. 8, the probability that the energy storage battery system is in a normal working state in the first 20 moments is 0.9281, the probability of a degradation state is 0.0677, and the probability of a failure state is 0.0042, so that the system is inferred to be in the normal working state. When the state of each component node at the subsequent time is unknown, the probability that the system is in a normal working state at about 111 time is smaller than that in a degradation state by predicting the state change conditions of the system at 200 future times, the probability of a failure state is continuously improved, the predicted system state change trend accords with the state change rule of the energy storage battery system, and the state of the system at a certain time can be known through the prediction result to guide the subsequent maintenance work.
TABLE 6C 1, C2, C3, C4 node State History data
Figure BDA0002178506810000061

Claims (1)

1. A dynamic multi-level system modeling and state prediction method based on hybrid cognition is characterized by comprising the following steps:
firstly, carrying out system analysis by using a fault tree and static Bayesian network method;
the dynamic multi-level system is composed of a plurality of subsystems, a plurality of devices and component interaction, the degradation or the failure of the subsystems, the components and the devices can directly influence the state change of the system, so the structure and the logic relation of the components, the devices and the subsystems are firstly known to predict the state change of the system;
the method comprises the steps of firstly summarizing reasons of faults of the dynamic multi-level system by using a fault tree analysis method, and discovering low-level fault events (x)i) Combining the events (T) causing the fatal failure of this complex system, and building a failure tree graph FTA, then converting the dynamic multi-level system FTA into a static Bayesian network B0The method is used for describing influence relations of internal components, equipment, subsystems and the system of the multi-level system, the multi-level system is mainly analyzed from a qualitative level, and the step is a premise of mixed cognition in the step two;
step two, analyzing the dynamic multi-level system by using the hybrid cognitive method, and constructing a static Bayesian network B ═ (B)1θ), specifically divided into the following steps:
1) dynamic multi-level system fault tree analysis to form static Bayesian network B based on fault tree0
2) STAMP analysis method for analyzing internal interaction relation R of dynamic multi-hierarchy systems
3) Will interact with RsIs represented by B in 1)0The network lacks directed edges, forming B1A network structure;
4) inputting a data set D (C, t) of a base level component into B1Training the network to obtain B1The probability relation theta among the network nodes realizes the quantitative description of the network node relation, and a static Bayesian network B (B) is constructed1,θ);
Step three, expanding the static Bayesian network into a dynamic Bayesian network to form a system state prediction model;
in the dynamic multi-level system model construction process, a static Bayesian network B (B) obtained by a two-step hybrid cognitive method is used1θ) is an initial time (t)0) Network structure of, will t0Network structure of time B ═ B1θ) are respectively copied to t in time sequence1、t2…tnAt the moment, a dynamic Bayesian network model is formed, and the dynamic Bayesian network model is represented by (B, B →), where B represents t0Time network structure, the probability distribution of the initial time is P (Z)1) (ii) a B → represents a Bayesian network comprising two time slices, and the conditional probability distribution between nodes between two adjacent time slices in the network structure is:
Figure FDA0002787788400000021
wherein,
Figure FDA0002787788400000022
is the ith node on the t-th time slice,
Figure FDA0002787788400000023
is that
Figure FDA0002787788400000024
The father node takes the state data D (C, t) acquired by the base level component as evidence of the node, and utilizes a dynamic Bayesian network model (B, B →) to carry out reasoning evaluation and prediction on the state of the system node;
fourthly, reasoning, evaluating and predicting the state of the dynamic multi-level system;
performing inference evaluation and prediction on the state of the dynamic multi-level system through a dynamic Bayesian network model (B, B →), wherein all nodes in the dynamic Bayesian network model assume three states of normal, degraded and failed; t at the existing base level component data0~iReasoning and evaluating the system state within the moment, and performing tiThe one with the highest probability of the three states is taken as the system state PNormal>PDegraded>PFailureIf so, the system is considered to be in a normal state; t at unknown base level component datajAnd (4) predicting the system state at all times to respectively obtain the probability of the system in the normal state, the degradation state and the failure state, mastering the state change trend of the system and guiding the maintenance work of the system.
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