CN107066685A - One kind digitlization instrument control System Dynamic Reliability integrated analysis system - Google Patents

One kind digitlization instrument control System Dynamic Reliability integrated analysis system Download PDF

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Publication number
CN107066685A
CN107066685A CN201710091036.9A CN201710091036A CN107066685A CN 107066685 A CN107066685 A CN 107066685A CN 201710091036 A CN201710091036 A CN 201710091036A CN 107066685 A CN107066685 A CN 107066685A
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China
Prior art keywords
instrument control
integrated analysis
dynamic reliability
emulation
control system
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CN201710091036.9A
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Chinese (zh)
Inventor
顾诞英
缪惠芳
张赫男
曹建元
李文韬
张彬彬
马志才
张淑慧
胡剑全
尹九波
赵旭
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Xiamen University
Shanghai Nuclear Engineering Research and Design Institute Co Ltd
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Xiamen University
Shanghai Nuclear Engineering Research and Design Institute Co Ltd
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Priority to CN201710091036.9A priority Critical patent/CN107066685A/en
Publication of CN107066685A publication Critical patent/CN107066685A/en
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation

Abstract

A kind of digitlization instrument control System Dynamic Reliability integrated analysis system of present invention offer, it includes producing emulator command, system operation interval division, replicating machine emulation, main program calculating and five funtion parts of interpretation of result.The present invention is based on Markov/CCMT theoretical methods, basic development language is used as using C#, complete to integrate emulation, calculating, the dynamic reliability integrated analysis system for digitlization I&C system of interpretation of result function, it can be applied to software platform, and the system built is applied to debugged in actual AP1000 main feed systems, and comprehensive fail-safe analysis is carried out to the main feedwater part of AP1000 digitlization I&C systems, analyst coverage includes weak spot of System failure probability and system etc..

Description

One kind digitlization instrument control System Dynamic Reliability integrated analysis system
Technical field
The present invention relates to digitlization I&C system probabilistic safety analysis, and in particular to one kind digitlization I&C system dynamically may be used By property integrated analysis system.
Background technology
Why convectional reliability analysis method can not be completely suitable for digitizing I&C system, be due to digitlization instrument control System performs various complicated nuclear power plant's controls by computer hardware and software control platform.With simple hardware system phase Than, due to the time dynamic characteristic of digitizer, cause it that there are different fault modes, and in computer software redundancy Exploitation, the extrapolation of computer glitch statistics and the prediction of common cause fault pattern and checking in terms of all have difficulties.This A little factors result in the safety and reliability of digital instrument control system of nuclear power plant is carried out at present qualitative assessment be faced with it is new Problem.Although probabilistic safety analysis (PSA) has certain effect to assessing I&C system risks, at present to digitization system What modeling and analysis were generally used is still the method for traditional static.The how more accurate comprehensively reflection system of reliability model is answered Miscellaneous dynamic interaction characteristic is the emphasis of presently relevant research field.
The method for digitlization instrument control Problem of System Reliability of the analysis containing software that current NRC and NASA approves and recommended Mainly dynamic reliability analysis method.The transitional directive/guide of NRC issues and the research report of auxiliary also mainly illustrate and are oriented to DFM and the dynamic approach of markov born of the same parents mapping (Markov/CCMT).Wherein, DFM methods have the business software of maturation at present DYMONDA, but business software both at home and abroad also without Markov/CCMT methods at present.Compared with DFM methods, Markov/CCMT Failure state definition to system, is by considering that system equipment response and the physical process of system are organically combined, using for example The parameter of the control variable (such as temperature, pressure) of system etc.Moreover, the usual more than two of the malfunction of system equipment, Can be with three kinds or more, fail-safe analysis result also will be more accurate, and information content is bigger.
The content of the invention
The present invention in view of the shortcomings of the prior art, proposes a kind of digitlization instrument control System Dynamic Reliability integrated analysis system System.
Digitizing instrument control System Dynamic Reliability integrated analysis system includes producing emulator command, system operation interval stroke Divide, replicating machine is emulated, main program is calculated and five funtion parts of interpretation of result;Wherein:
Produce emulator command and be configured to the generation equipment state combination of configuration status information of equipment and emulation script, with This is used as the basis worked for subsequent simulation;
System operation interval division is configured to configure system variable information to the interval division number of system, passes through this stroke Divide and the state of system variable is subjected to sliding-model control, consequently facilitating using Markov/CCMT methods to analyze different equipment shapes State combines the influence for system variable;
Replicating machine emulation is configured to system and opens outside replicating machine and perform the emulation command produced in advance to being System is emulated;
Main program calculates and is configured to collection system status information computation interval transition probability, passes through collecting device shape State configuration information computing system equipment state transition probability;And
Interpretation of result is configured to calculate transfer matrix and System failure probability.
Preferably, the status information of equipment includes number of devices, equipment state and its emulator command information.
Preferably, the replicating machine emulation is configured to arrange and preserve simulation result.
Preferably, the main program, which is calculated, is configured to collect the preservation simulation result information computation interval transfer Probability, passes through collecting device state configuration information computing system equipment state transition probability.
Preferably, the system variable information includes system operation interval.
Preferably, the system can be applied to software platform.
Compared with prior art, the invention has the advantages that:
1st, the present invention be based on Markov/CCMT theoretical methods, using C# as basic development language, complete collection emulation, calculate, Interpretation of result function can be applied to software and put down in the dynamic reliability integrated analysis system for digitlization I&C system of one Platform, and the system built is applied to debugged in actual AP1000 main feed systems, and instrument control is digitized to AP1000 The main feedwater part of system carries out comprehensive fail-safe analysis, and analyst coverage includes weak spot of System failure probability and system etc..
2nd, the digitlization instrument control System Dynamic Reliability integrated analysis system that the present invention is provided, produces emulator command according to mould Status information of equipment in type, automatically generates all possible equipment state combination and its rule change, and emulate generation according to correspondence The recognizable emulation script of code instruction generation replicating machine, so as to facilitate replicating machine to complete whole simulation processes.
3rd, the digitlization instrument control System Dynamic Reliability integrated analysis system that the present invention is provided, system operation interval division root According to the normal operation range and critical operation scope of system variable, traffic coverage is pressed into specified rule sliding-model control, so that just Particular state is presently in analysis system.
4th, the digitlization instrument control System Dynamic Reliability integrated analysis system that the present invention is provided, replicating machine emulation can be in system In direct configuration replicating machine position and other profile informations, then click directly on after " starting emulation " button, can directly lead to Cross system to start replicating machine and emulated according to the emulation script generated before, largely reduce artificial configuration work.
5th, the digitlization instrument control System Dynamic Reliability integrated analysis system that the present invention is provided, main program is calculated according to emulation As a result with system configuration information computing system failure probability, and with the conditional probability letter of patterned form display System failure probability Number and cumulative probability function.
6th, the digitlization instrument control System Dynamic Reliability integrated analysis system that the present invention is provided, interpretation of result is lost according to system Imitate probability calculation result and system path information to system in terms of failing path with being analyzed in terms of failure probability.Wherein, Three partial informations are included in terms of thrashing path analysis altogether, are cut set path occurrence number, system path failure bar number respectively The detailed failure conditions under different time node are appeared in specific cut set path.Three are included in terms of System failure probability analysis altogether Partial information is cut set failure probability respectively, equipment fault type occurrence number and equipment fault type when causing failure event Cause the Significance Analysis of thrashing.
Brief description of the drawings
The digitlization instrument control System Dynamic Reliability integrated analysis system flow chart that Fig. 1 provides for the present invention;
The digitlization instrument control System Dynamic Reliability integrated analysis system simulation process flow chart that Fig. 2 provides for the present invention;
Fig. 3 divides flow for the digitlization instrument control System Dynamic Reliability integrated analysis system range of variables that the present invention is provided Figure;
The digitlization instrument control System Dynamic Reliability integrated analysis system CALCULATION OF FAILURE PROBABILITY flow that Fig. 4 provides for the present invention Figure;
The digitlization instrument control System Dynamic Reliability integrated analysis system failure probability interpretation of result that Fig. 5 provides for the present invention Flow chart;
In the digitlization instrument control System Dynamic Reliability integrated analysis system file configuration that Fig. 6-1 provides for the present invention Hold.
Fig. 6-2 opens file configuration circle for the digitlization instrument control System Dynamic Reliability integrated analysis system that the present invention is provided Face.
Fig. 6-3 configures system variable for the digitlization instrument control System Dynamic Reliability integrated analysis system that the present invention is provided.
Fig. 6-4a-c match somebody with somebody for the digitlization instrument control System Dynamic Reliability integrated analysis system equipment variables that the present invention is provided Put interface.
Fig. 6-5 configures boundary for the digitlization instrument control System Dynamic Reliability integrated analysis system artificial intelligence that the present invention is provided Face.
Fig. 6-6a-d open outside match somebody with somebody for the digitlization instrument control System Dynamic Reliability integrated analysis system that the present invention is provided File is put, system variable interface is opened, open equipment variables interface and opens replicating machine configuration interface.
Fig. 6-7 reads simulation result circle for the digitlization instrument control System Dynamic Reliability integrated analysis system that the present invention is provided Face.
Fig. 6-8a-c divide for the digitlization instrument control System Dynamic Reliability integrated analysis system that the present invention is provided into result Analyse interface, system path information analysis interface and System failure probability assay surface.
The digitlization instrument control System Dynamic Reliability integrated analysis system Sensitivity Analysis of Systems that Fig. 6-9 provides for the present invention Interface.
Fig. 7-1,2 produce emulator command for the digitlization instrument control System Dynamic Reliability integrated analysis system that the present invention is provided Interface.
Fig. 7-3 draws for the digitlization instrument control System Dynamic Reliability integrated analysis system system operation interval that the present invention is provided Interface.
Fig. 7-4 emulates boundary for the digitlization instrument control System Dynamic Reliability integrated analysis system replicating machine that the present invention is provided Face.
Fig. 7-5 calculates boundary for the digitlization instrument control System Dynamic Reliability integrated analysis system main program that the present invention is provided Face.
Fig. 7-6,7 digitlization instrument control System Dynamic Reliability integrated analysis system interpretations of result circle provided for the present invention Face.
Embodiment
In order to facilitate the understanding of the purposes, features and advantages of the present invention, it is below in conjunction with the accompanying drawings and specific real Applying mode, the present invention is further detailed explanation.
Based on Markov/CCMT theoretical methods, using C# as basic development language, collection emulation, calculating, interpretation of result are completed Function can be applied to software platform in the dynamic reliability integrated analysis system for digitlization I&C system of one.Simultaneously The software platform built is applied to and debugged in actual AP1000 main feed systems, and instrument control system is digitized to AP1000 The main feedwater part of system carries out comprehensive fail-safe analysis, and analyst coverage includes weak spot of System failure probability and system etc..
When Markov/CCMT carries out fail-safe analysis to system, by integrated with specified emulation platform, in Ergodic Theory Failure state is possible in all devices fault mode, analysis system, so that the uncertainty of system physical process is embodied, And then the failure probability and cut set of computing system, distinct device fault mode can be embodied not in the same time to system in result of calculation The percentage contribution of failure.
As shown in figure 1, nuclear power station reliability analysis system is respectively in use comprising five main functional modules Produce emulator command, system operation interval division, replicating machine emulation, main program calculating and five major function portions of interpretation of result Point.Corresponding emulator command is generated according to device configuration information first, then connection replicating machine is emulated, with reference to simulation result and System variable interval division result, system is calculated System failure probability based on Markov/CCMT Method And Principles, to calculating As a result analyzed in terms of thrashing path with System failure probability two.
As shown in Fig. 2 producing emulator command:By configuring status information of equipment, including number of devices, equipment state and its The information such as emulator command, the combination of generation equipment state and emulation script, in this, as the basis worked for subsequent simulation.Specifically , it is necessary first to all possible equipment state is generated according to information such as system equipment quantity, system equipment status quantity and combined, And in the case of being defaulted as irreparable system, produce the equipment state combination rule change under the conditions of the group, finally determine Equipment state combination rule change combination number of nodes can generate system at the appointed time all possible rule change under node, Finally connection replicating machine completes complete procedure.
As shown in figure 3, system operation interval division:Configuring system variable information includes system operation interval i.e. to system area Between division number, the state of system variable is carried out by sliding-model control by this division, consequently facilitating using Markov/CCMT Method analyzes influence of the different equipment state combinations for system variable.Specifically, according to system state variables number, system State variable is normal/and critical operation is interval and its division rule, and system variable is divided and numbered.
Replicating machine is emulated:Outside replicating machine is opened by system and the emulation command produced in advance is performed system is imitated Very, while arranging and preserving simulation result.
As shown in figure 4, main program is calculated:It is general by collection system status information and the transfer of simulation result information computation interval Rate, passes through collecting device state configuration information computing system equipment state transition probability.Finally calculate transfer matrix and system is lost Imitate probability.Specifically, according to system variable interval division result and simulation result, being calculated based on Markov/CCMT Method And Principles System failure probability.
As shown in figure 5, interpretation of result:Analysing content includes the accumulated probability density letter drawn according to System failure probability Number and conditional probability density function curve, while general to the accident sequence of system model and equipment failure according to System failure probability Analyzed in terms of rate, including Significance Analysis and sensitivity analysis.Specifically, being calculated during interpretation of result before The System failure probability arrived, by the required precision of setting judge whether to be used as again adjustment interval division rule re-start Calculate.It is sensitive from thrashing path and equipment state importance and equipment state to finally meeting the result of calculation of required precision Property aspect result is analyzed.
The system given below for providing the present invention is applied to the example of software platform:
1. allocation models information
1.1 pass through external file allocation models information
By clicking " file configuration "-" opening ", open and read external file interface, selection corresponding document is configured, As shown in Fig. 6-1,6-2.
In addition, after " system variable information ", " equipment variables information " is configured in software with " system emulation information ", Save button is clicked on, configuration information can be automatically saved according to specified format.
1.2 pass through manual configuration mode allocation models information
1.2.1 manual configuration system variable information
1) system configuration-system variable configuration is selected in Fig. 6-1, system variable configuration interface is opened, such as Fig. 6-3 institutes Show;
2) system variable quantity is selected;
3) corresponding information is configured according to the specific item of system variable content;
4) click on " confirming input "
1.2.2 manual configuration equipment variables information
1) system configuration-equipment variables configuration is selected in Fig. 6-1, equipment variables configuration interface is opened, such as Fig. 6-4 institutes Show;
2) equipment variables quantity is selected;
3) input equipment name variable and total state number, click on input emulator command button, as shown in Fig. 6-4a;
4) corresponding information is configured according to the specific item of equipment variables content, input clicks on " input emulator command " after finishing, right Specific status information of equipment is configured, as shown in Fig. 6-4b.Wherein " simulation code " in input process, by Shift+ Enter is entered a new line, and is inputted after finishing by Enter;
5) it is that can show that all equipment states are combined and equipment state assembled state transfer rule to click on " confirming input " Then, as shown in Fig. 6-4c;
6) check whether equipment state combination transition rule meets the requirements, modification button can be clicked on and modified;
7) directly click on influence cell in equipment state combination transition rule table when changing to be modified, such as click sky White place can add transition rule, and transition rule can be cancelled by clicking transfer item, click on " confirming modification " and complete amendment afterwards.
2. configure artificial intelligence
Artificial intelligence configuration interface is as shown in Fig. 6-5.
1) compiled good system initialization emulator command is loaded;
2) config failure step-length, failure depth;
3) configuration sample rate and sampling configuration script, this is inessential configuration item;
4) estimated generation simulation paths are clicked on and check estimated emulation total duration, failure depth is according to circumstances changed and is walked with failure It is long;
5) generation emulation script is clicked on, waits progress bar to indicate that generation is finished;
6) emulation starting/end path is set;
7) simulated program, emulation script and simulation result file content are set, can be configured by double-clicking dialog box, And directly can be modified in dialog box;
8) click on and start emulation, wait whole simulation processes to terminate, need to such as terminate simulation process and can click on termination emulation and press Button.
3. computing system failure probability
1) when not yet allocation models information in software, edit model information first is needed, it is common practice that by clicking master " file configuration "-" opening " option opens the outside model configuration information file preserved in interface, as shown in Fig. 6-6a;
2) " system configuration "-" system variable ", " system configuration "-" equipment variables ", " replicating machine configuration " boundary are opened successively Face, checks that corresponding input quantity confirms input, and so that program carries out initialization arrangement to input data, as shown in Fig. 6-6b-d;
3) click on and read simulation result button, eject folder selection interface, as shown in fig. 6-7, and select herein required The data folder to be analyzed.Note can only again including other types file comprising emulation data file in file;
4) after simulation result Load Game shows that reading is finished, click starts to calculate just class and System failure probability is carried out Calculate;
5) calculate after finishing, following items content is shown in Operation Log column:
Result of calculation passes through situation;
Thrashing cumulative probability density;
The conditional probability density of the ranking combinations of states for causing the failure of system high level of first five;
The conditional probability density of the ranking combinations of states for causing the failure of system low value of first five.
6) when needing to be finely divided the interval division rule of system, clicking on " adjustment interval division rule " button can enter Correct the regular interface of interval division;
7) Operation Log in the regular interface of amendment interval division shows herein below:
Has interval subdivision Rule content in allocation plan;
Total interval quantity;
The cumulative probability density of different failure modes under all nodes;
8) selection automatic/hand changes division rule pattern as needed;
9) when the automatic modification interval division of selection is regular, corresponding entry content is configured according to demand;
10) when selecting manual modification interval division regular, new interval division is manually entered according to demand;
11) " amendment division rule " button is clicked on, software is recalculated automatically according to configuration item content, when using automatic tune Between main plot during division rule, when meeting required precision or maximum adjustment number of times, software then stops continuing iteration, takes the last time Amendment scheme is used as final selected results.
4. analysis system failure probability
1) click on " interpretation of result " button and enter interpretation of result interface, as shown in Fig. 6-8a-b;
2) " simplifying path " button is clicked on, system path information is simplified;
3) after simplifying path and finishing, preservation simplified path can be clicked on the path after simplification is additionally preserved, this mistake Journey optional step;
4) " result is shown " button is clicked on, thrashing information is shown;
5) " probability analysis " button is clicked on, into probability analysis interface, as shown in Fig. 6-8c;
6) " display result " button is clicked on, System failure probability information is shown;
7) " Significance Analysis " button, each equipment fault type importance during display thrashing are clicked on.
5. Sensitivity Analysis of Systems
1) CONFIG.SYS is opened, 1), 2) step is identical with 6.3 sections for operating process, sensitivity analysis interface such as Fig. 6-9 institutes Show;
2) when checking software sensitivity sexual function, click on " producing random data test " and generate data to be analyzed at random;
3) the different configuration of result of calculation of random faule type progress is preserved when, and is deposited the same text of value After in part folder, the System failure probability result clicked on " reading result of calculation " and select corresponding document folder to read different groups;
4) click on " sensitivity analysis " to analyze the result of calculation of different groups of System failure probabilities, due to now setting To show all system cut set fail messages, therefore loading procedure is more slow when cut set quantity is more, interface refreshing of waiting Analysis result can be completely shown after finishing.
Compared with prior art, the invention has the advantages that:
1st, the present invention be based on Markov/CCMT theoretical methods, using C# as basic development language, complete collection emulation, calculate, Interpretation of result function can be applied to software and put down in the dynamic reliability integrated analysis system for digitlization I&C system of one Platform, and the system built is applied to debugged in actual AP1000 main feed systems, and instrument control is digitized to AP1000 The main feedwater part of system carries out comprehensive fail-safe analysis, and analyst coverage includes weak spot of System failure probability and system etc..
2nd, it is shown as shown in Fig. 7-1 and 7-2, the digitlization instrument control System Dynamic Reliability integrated analysis that the present invention is provided System, produces emulator command according to status information of equipment in model, automatically generates all possible equipment state combination and its becomes Change rule, and according to the recognizable emulation script of correspondence simulation code instruction generation replicating machine, so that it is complete to facilitate replicating machine to complete Portion's simulation process.
3rd, as shown in Fig. 7-3, the digitlization instrument control System Dynamic Reliability integrated analysis system that the present invention is provided, system fortune Traffic coverage is pressed specified rule discretization by row interval division according to the normal operation range and critical operation scope of system variable Processing, consequently facilitating analysis system is presently in particular state.
4th, as shown in Fig. 7-4, the digitlization instrument control System Dynamic Reliability integrated analysis system that the present invention is provided, replicating machine Emulation can directly configure replicating machine position and other profile informations in systems, then click directly on " starting emulation " button Afterwards, replicating machine directly can be started by system and is emulated according to the emulation script generated before, it is a large amount of to reduce artificial configuration Work.
5th, as shown in Fig. 7-5, the digitlization instrument control System Dynamic Reliability integrated analysis system that the present invention is provided, main program Calculate according to simulation result and system configuration information computing system failure probability, and System failure probability is shown with patterned form Conditional probability function and cumulative probability function.
6th, as shown in Fig. 7-6 and 7-7, the digitlization instrument control System Dynamic Reliability integrated analysis system that the present invention is provided, Interpretation of result according to System failure probability result of calculation and system path information to system in terms of failing path and failure probability Aspect is analyzed.Wherein, three partial informations are included in terms of thrashing path analysis altogether, are that cut set path goes out occurrence respectively Number, system path failure bar number appear in the detailed failure conditions under different time node with specific cut set path.Thrashing Three partial informations are included in terms of probability analysis altogether, is cut set failure probability respectively, causes equipment fault type during failure event to go out Occurrence number causes the Significance Analysis of thrashing with equipment fault type.
The embodiment of each in this specification is described by the way of progressive, and what each embodiment was stressed is and other Between the difference of embodiment, each embodiment identical similar portion mutually referring to.For system disclosed in embodiment For, due to corresponding to the method disclosed in Example, so description is fairly simple, related part is referring to method part illustration .
Those skilled in the art can realize described function to each specific application using distinct methods, but It is this realization it is not considered that beyond the scope of this invention.
Obviously, those skilled in the art can carry out the spirit of various changes and modification without departing from the present invention to invention And scope.So, if these modifications and variations of the present invention belong to the claims in the present invention and its equivalent technologies scope it Interior, then the present invention is also intended to including these changes and modification.

Claims (6)

1. one kind digitlization instrument control System Dynamic Reliability integrated analysis system, it is characterised in that including producing emulator command, being Traffic coverage of uniting is divided, replicating machine is emulated, main program is calculated and five funtion parts of interpretation of result;Wherein:
Produce emulator command and be configured to the generation equipment state combination of configuration status information of equipment and emulation script, made with this For the basis worked for subsequent simulation;
System operation interval division is configured to configure system variable information to the interval division number of system, will by this division The state of system variable carries out sliding-model control;
Replicating machine emulation is configured to system and opens outside replicating machine and perform the emulation command produced in advance to enter system Row emulation;
Main program calculates and is configured to collection system status information computation interval transition probability, is matched somebody with somebody by collecting device state Confidence ceases computing system equipment state transition probability;And
Interpretation of result is configured to calculate transfer matrix and System failure probability.
2. digitlization instrument control System Dynamic Reliability integrated analysis system according to claim 1, it is characterised in that described Status information of equipment includes number of devices, equipment state and its emulator command information.
3. digitlization instrument control System Dynamic Reliability integrated analysis system according to claim 1, it is characterised in that described Replicating machine emulation is configured to arrange and preserve simulation result.
4. digitlization instrument control System Dynamic Reliability integrated analysis system according to claim 3, it is characterised in that described Main program, which is calculated, to be configured to collect the preservation simulation result information computation interval transition probability, passes through collecting device shape State configuration information computing system equipment state transition probability.
5. digitlization instrument control System Dynamic Reliability integrated analysis system according to claim 1, it is characterised in that described It is interval that system variable information includes system operation.
6. digitlization instrument control System Dynamic Reliability integrated analysis system according to claim 1, it is characterised in that described System can be applied to software platform.
CN201710091036.9A 2017-02-20 2017-02-20 One kind digitlization instrument control System Dynamic Reliability integrated analysis system Pending CN107066685A (en)

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Citations (2)

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Publication number Priority date Publication date Assignee Title
CN102436519A (en) * 2011-08-23 2012-05-02 戴志辉 Method for synthetically evaluating dynamic reliability of power system automatic device
CN106021728A (en) * 2016-05-19 2016-10-12 国家电网公司 Power grid reliability sequential simulation method based on conditional kernel density estimation

Patent Citations (2)

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Publication number Priority date Publication date Assignee Title
CN102436519A (en) * 2011-08-23 2012-05-02 戴志辉 Method for synthetically evaluating dynamic reliability of power system automatic device
CN106021728A (en) * 2016-05-19 2016-10-12 国家电网公司 Power grid reliability sequential simulation method based on conditional kernel density estimation

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
戴志辉等: "基于动态故障树与蒙特卡罗仿真的保护系统动态可靠性评估", 《中国电机工程学报》 *
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