CN113254880B - Method and device for calculating leakage accident probability of LNG fuel power ship and storage medium - Google Patents

Method and device for calculating leakage accident probability of LNG fuel power ship and storage medium Download PDF

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CN113254880B
CN113254880B CN202110606274.5A CN202110606274A CN113254880B CN 113254880 B CN113254880 B CN 113254880B CN 202110606274 A CN202110606274 A CN 202110606274A CN 113254880 B CN113254880 B CN 113254880B
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谢澄
黄立文
汪瑞
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Abstract

The invention relates to a method and a device for calculating the leakage accident probability of an LNG fuel power ship and a computer readable storage medium, wherein the method comprises the following steps: acquiring data of a risk scene corresponding to an outcome event, and determining the probability of an initial event in the risk scene corresponding to the outcome event according to the data of the risk scene corresponding to the outcome event; determining the risk scene frequency corresponding to the initial event according to the probability of the initial event in the risk scene corresponding to the consequence event; acquiring the probability of occurrence of an outcome event according to the risk scene frequency corresponding to the initial event, and determining the risk probability of the leakage accident according to the probability of occurrence of the outcome event; the method for calculating the leakage accident probability of the LNG fuel power ship realizes the quantitative calculation of the leakage accident probability of the LNG fuel power ship.

Description

Method and device for calculating leakage accident probability of LNG fuel power ship and storage medium
Technical Field
The invention relates to the technical field of leakage of LNG fuel powered ships, in particular to a method and a device for calculating the probability of leakage accidents of an LNG fuel powered ship and a computer readable storage medium.
Background
At present, diesel fuel is mainly used in inland river ship power plants in China, air pollutants discharged by the diesel fuel have serious harm to human health and environment, and the healthy development of shipping industry is seriously restricted by the energy structure of the ship fuel mainly comprising diesel. With the energy and environmental problems becoming the focus of worldwide attention, how to effectively reduce the proportion of diesel oil in an energy structure and reduce the emission of atmospheric pollutants of ships is a problem to be solved urgently by constructing a green shipping economy development mode with low energy consumption, low emission and low pollution, and energy conservation, emission reduction and green shipping become important directions for the development of river shipping in China.
The contradiction between the gradually-increased demand for passing a brake and the inability to pass through the three gorges dam of the LNG-fueled ship becomes one of the important bottlenecks for restricting the rapid development of LNG-fueled ships in inland rivers. Because LNG has dangerous characteristics of low temperature, flammability, easy diffusion and the like, once leakage occurs in semi-closed spaces such as ship locks, ship lifts and the like, serious consequences such as combustion, explosion and the like can be caused, and great harm is caused to personnel safety, ship lock structures and the like; quantitative calculation of the leakage accident probability of the LNG fuel power ship is needed to provide corresponding risk prevention and countermeasure measures.
Disclosure of Invention
In view of the above, it is desirable to provide a method, an apparatus and a computer readable storage medium for calculating a leakage accident probability of an LNG-fueled ship, so as to solve the problem that the leakage accident probability of the LNG-fueled ship cannot be quantitatively calculated in the prior art.
The invention provides a method for calculating the leakage accident probability of an LNG fuel power ship, which comprises the following steps:
acquiring data of a risk scene corresponding to an outcome event, and determining the probability of an initial event in the risk scene corresponding to the outcome event according to the data of the risk scene corresponding to the outcome event;
determining the risk scene frequency corresponding to the initial event according to the probability of the initial event in the risk scene corresponding to the consequence event;
and acquiring the probability of occurrence of an outcome event according to the risk scene frequency corresponding to the initial event, and determining the risk probability of the leakage accident according to the probability of occurrence of the outcome event.
Further, determining the probability of the initial event in the risk scenario corresponding to the consequence event according to the data of the risk scenario corresponding to the consequence event, specifically including: and determining the ship collision risk scene corresponding to the fuel tank leakage consequence event and the initial event probability of the ship fire risk scene according to the data of the risk scene corresponding to the consequence event.
Further, determining the initial event probability of the ship collision risk scene and the ship fire risk scene corresponding to the fuel tank leakage consequence event according to the data of the risk scene corresponding to the consequence event, including:
determining the ship collision risk scene corresponding to the fuel tank leakage consequence event and the initial event probability of the ship fire risk scene according to the data of the ship collision risk scene and the ship fire risk scene corresponding to the fuel tank leakage consequence event and a corresponding initial event probability formula;
the initial event probability formula of the ship collision risk scene corresponding to the fuel tank leakage consequence event is
Figure 29284DEST_PATH_IMAGE001
The initial event probability formula of the ship fire risk scene is
Figure 605077DEST_PATH_IMAGE002
Wherein A is the proportion of collision accidents in the total number of accidents of the river trunk ships, B is the proportion of fire accidents in the total number of accidents of the river trunk ships, N is the total number of annual average sluice ships in the dam area in the river,
Figure 657346DEST_PATH_IMAGE003
the expected value of the distribution function of the number of the river trunk monthly ship accidents,
Figure 48007DEST_PATH_IMAGE004
the average contribution factor of the dam area in the river to the total number of accidents of the ship in the river trunk is obtained.
Further, determining the probability of the initial event in the risk scene corresponding to the consequence event according to the data of the risk scene corresponding to the consequence event, further comprising:
determining the initial event probability of the pipeline or equipment failure risk scene corresponding to the gas supply system leakage consequence event according to the pipeline or equipment failure risk scene corresponding to the gas supply system leakage consequence event and a Bayesian formula; the Bayes formula is
Figure 236543DEST_PATH_IMAGE005
Wherein
Figure 15144DEST_PATH_IMAGE006
,i=2,m=1,2,…,6,
Figure 554709DEST_PATH_IMAGE007
Figure 76957DEST_PATH_IMAGE008
Respectively, a prior function and a likelihood function of the pipeline or equipment failure class.
Further, determining the probability of the initial event in the risk scene corresponding to the consequence event according to the data of the risk scene corresponding to the consequence event, further comprising:
determining the initial event probability of the human error scene corresponding to the air supply system leakage consequence event according to the human error risk scene data corresponding to the air supply system leakage consequence event and an air supply system leakage probability formula; the leakage probability formula of the gas supply system is
Figure 385579DEST_PATH_IMAGE009
Wherein T is the allowable response time after human error, T is the actual response time after considering the influence factor of the brake passing,
Figure 600660DEST_PATH_IMAGE010
Figure 627522DEST_PATH_IMAGE011
Figure 953461DEST_PATH_IMAGE012
is a distribution shape parameter.
Further, determining the probability of the initial event in the risk scene corresponding to the consequence event according to the data of the risk scene corresponding to the consequence event, further comprising: according to the power system long-term outage risk scene data corresponding to the safety valve take-off leakage consequence event and the safety valve take-off probability formula
Figure 116589DEST_PATH_IMAGE013
Determining the initial event probability of the power system long-term outage risk scene corresponding to the safety valve take-off leakage consequence event; wherein the content of the first and second substances,
Figure 502571DEST_PATH_IMAGE014
initial event probability, t, of a power system long-term outage risk scenario corresponding to a safety valve jump-out leakage consequence eventvFor the possibility of a safety valve in the process of passing a brakeMaximum leakage time of tsThe average lockdown time of an LNG fuelled ship.
Further, determining a risk scenario frequency corresponding to the initial event according to the probability of the initial event in the risk scenario corresponding to the consequence event, specifically including:
determining the frequency of the risk scene corresponding to the initial event according to a probability and frequency calculation formula of the initial event in the risk scene corresponding to the consequence event; the frequency is calculated by the formula
Figure 748220DEST_PATH_IMAGE015
Wherein ci-m represents the mth risk scenario corresponding to the ith outcome event, n represents the nth independent protection layer corresponding to the mth risk scenario,
Figure 612271DEST_PATH_IMAGE016
for the mth risk scenario frequency corresponding to the ith outcome event,
Figure 895484DEST_PATH_IMAGE017
is the probability of the initial event in the mth risk scenario corresponding to the ith outcome event,
Figure 186788DEST_PATH_IMAGE018
the failure probability of the nth independent protection layer in the mth risk scenario.
Further, according to the risk scene frequency corresponding to the initial event, obtaining the occurrence probability of the consequence event, and determining the risk probability of the leakage accident according to the occurrence probability of the consequence event, specifically including: acquiring the probability of occurrence of an outcome event according to the risk scene frequency corresponding to the initial event and the probability formula of occurrence of the outcome event, and determining the risk probability of the leakage accident according to the probability of occurrence of the outcome event and the risk probability formula; the probability formula of the occurrence of the consequence event is
Figure 922663DEST_PATH_IMAGE019
The risk probability formula is
Figure 590405DEST_PATH_IMAGE020
,PLiFor the occurrence probability of the consequence event i in the time T, i =1, 2 and 3 respectively represent three consequence events of fuel tank leakage, gas supply system leakage and safety valve jump leakage, wherein W is an over-brake mode factor, and S is an over-brake stage factor;
Figure 728125DEST_PATH_IMAGE021
is the occurrence probability of the ith outcome event.
The invention also provides a device for calculating the probability of the leakage accident of the LNG fuel powered ship, which comprises a processor and a memory, wherein the memory is stored with a computer program, and when the computer program is executed by the processor, the method for calculating the probability of the leakage accident of the LNG fuel powered ship is realized according to any technical scheme.
The invention also provides a computer readable storage medium, on which a computer program is stored, which when executed by a processor, implements the LNG-fueled ship leakage accident probability calculation method according to any one of the above technical solutions.
Compared with the prior art, the invention has the beneficial effects that: determining the probability of an initial event in a risk scene corresponding to an effect event according to the data of the risk scene corresponding to the effect event by acquiring the data of the risk scene corresponding to the effect event; determining the risk scene frequency corresponding to the initial event according to the probability of the initial event in the risk scene corresponding to the consequence event; acquiring the probability of occurrence of an outcome event according to the risk scene frequency corresponding to the initial event, and determining the risk probability of the leakage accident according to the probability of occurrence of the outcome event; the method and the device realize the quantitative calculation of the leakage accident probability of the LNG fuel power ship.
Drawings
Fig. 1 is a schematic flow chart of a method for calculating a leakage accident probability of an LNG-fueled ship according to the present invention;
FIG. 2 is a statistical situation of the water traffic accidents of the Yangtze river and the moon;
FIG. 3 is a Gamma distribution verification P-P diagram of the moon ship accident number of the Yangtze river trunk line provided by the invention;
FIG. 4 is a probability error histogram of pipeline or equipment failure type initial events provided by the present invention.
Detailed Description
The accompanying drawings, which are incorporated in and constitute a part of this application, illustrate preferred embodiments of the invention and together with the description, serve to explain the principles of the invention and not to limit the scope of the invention.
Example 1
The embodiment of the invention provides a method for calculating the probability of an accident of leakage of an LNG fuel powered ship, which has a flow schematic diagram, and as shown in FIG. 1, the method comprises the following steps:
s1, acquiring data of a risk scene corresponding to an outcome event, and determining the probability of an initial event in the risk scene corresponding to the outcome event according to the data of the risk scene corresponding to the outcome event;
s2, determining the risk scene frequency corresponding to the initial event according to the probability of the initial event in the risk scene corresponding to the consequence event;
s3, obtaining the probability of the occurrence of the consequence event according to the risk scene frequency corresponding to the initial event, and determining the risk probability of the leakage accident according to the probability of the occurrence of the consequence event.
In one embodiment, the identification results of the risk factors of the LNG-fueled ship leakage accident are shown in table 1;
TABLE 1
Figure 455910DEST_PATH_IMAGE022
The number of a ship collision risk scene corresponding to the fuel tank leakage consequence event is C1-1, the number of a flange joint sealing element failure risk scene corresponding to the gas supply system leakage consequence event is C2-1, and the numbers of risk scenes corresponding to the other consequence events are repeated.
Identification of independent protective layers based on risk identification of related contentIn addition, the failure probability of an independent protective layer has been assigned based on relevant data and research results, and therefore, how to obtain the probability of an initial event in a LOPA (protective layer analysis) risk scenario
Figure 679081DEST_PATH_IMAGE023
Becomes the key to calculating the risk probability.
According to the LOPA risk identification result, fuel tank leakage, gas supply system leakage and safety valve jump leakage are three consequence events of the brake passing system, and considering that the corresponding initial events are different in nature and the probability of all the initial events can not be obtained by using the same probability calculation method, therefore, the appropriate initial event probability calculation methods are selected respectively to ensure the accuracy of risk probability calculation.
For fuel tank leakage in an outcome event, initial events corresponding to risk scenes C1-1 and C1-2 are ship collision and ship fire respectively, and as the occurrence of the ship accident is greatly influenced by the conditions of a navigation water area and the characteristics of a navigation ship and the statistical data of the Yangtze river water traffic accident is rich, the probability of the initial event can be calculated by using a probability calculation method based on statistical distribution, the distribution rule of the three gorges dam region is obtained by using the Yangtze river trunk water traffic accident data fitting, and then the probability of the ship accident initial event is solved.
For the leakage of the air supply system in the consequent event, the corresponding initial events in the LOPA risk scenarios C2-1 to C2-7 can be divided into two categories, namely pipeline or equipment failure and human error. The initial event of pipeline or equipment failure is mostly based on statistical data to carry out probability calculation, while the initial event of human error is mostly based on the subjective factors of people to determine the standard of quantitative judgment, and the two have obvious difference on calculation, so the probability calculation method is further refined. Based on the analysis, for initial events of failure of pipelines or equipment in risk scenes C2-1 to C2-6, considering that the history of LNG as ship fuel is short, accident sample data per se is less, and long-term and continuous failure data records are lacked, therefore, in order to overcome the problem of sample data shortage, a Bayesian estimation method is provided for carrying out quantitative calculation on the failure probability of the pipelines or the equipment by combining with a universal failure database internationally, and the accuracy of quantitative risk calculation of the LNG fuel powered ship passing gate system is improved. For the initial event of human error with the scene number of C2-7, according to the result of risk identification, the situation is further expanded mainly because the human error causes mechanical damage and does not take appropriate reaction in time, so a human reliability analysis (HCR) method with strong reliability is selected to perform quantitative calculation of human error.
For the jump leakage of the safety valve in the consequence event, the initial event corresponding to the LOPA risk scene C3-1 is mainly due to the fact that the power system is stopped for a long time, and the enclosure material of the storage tank cannot be completely insulated, so that the LNG absorbs heat from the external environment and evaporates to form gas, and the pressure in the gas supply system is increased. And selecting proper probability calculation methods for initial events with different properties respectively, and finally realizing quantitative calculation of the leakage accident risk probability of the whole LNG fuel power ship.
Preferably, determining the probability of the initial event in the risk scenario corresponding to the consequence event according to the data of the risk scenario corresponding to the consequence event specifically includes: and determining the ship collision risk scene corresponding to the fuel tank leakage consequence event and the initial event probability of the ship fire risk scene according to the data of the risk scene corresponding to the consequence event.
In one specific implementation, according to the probability calculation method of each initial event, the probability of the initial event corresponding to the fuel tank leakage, the gas supply system leakage and the safety valve jump leakage in the lockage system is respectively calculated
Figure 884934DEST_PATH_IMAGE024
Performing expansion calculation; according to a frequency calculation formula of the LOPA risk scene, combining the calculation result of the initial event probability and the failure probability of the independent protection layer
Figure 142740DEST_PATH_IMAGE025
According to the LOPA risk scene probability calculation table, the LOPA risk scene frequency corresponding to each initial event
Figure 775847DEST_PATH_IMAGE026
Calculating; according to the calculation result of each LOPA risk scene frequency, the occurrence probability of three consequent events, namely fuel tank leakage, gas supply system leakage and safety valve jump leakage
Figure 751893DEST_PATH_IMAGE027
Calculating; calculating two risk probability correction factors of a lockage mode factor W and a lockage stage factor S according to a risk probability model of the lockage system, and simultaneously combining a probability calculation result of an effect event to obtain a risk probability P of the lockage systemLiAnd finally, modeling and calculating the risk probability.
Preferably, the determining the initial event probability of the ship collision risk scenario and the ship fire risk scenario corresponding to the fuel tank leakage consequence event according to the data of the risk scenario corresponding to the consequence event includes:
determining the ship collision risk scene corresponding to the fuel tank leakage consequence event and the initial event probability of the ship fire risk scene according to the data of the ship collision risk scene and the ship fire risk scene corresponding to the fuel tank leakage consequence event and a corresponding initial event probability formula;
the initial event probability formula of the ship collision risk scene corresponding to the fuel tank leakage consequence event is
Figure 495858DEST_PATH_IMAGE028
The initial event probability formula of the ship fire risk scene is
Figure 873750DEST_PATH_IMAGE029
Wherein A is the proportion of collision accidents in the total number of accidents of the river trunk ships, B is the proportion of fire accidents in the total number of accidents of the river trunk ships, N is the total number of annual average sluice ships in the dam area in the river,
Figure 677758DEST_PATH_IMAGE030
the expected value of the distribution function of the number of the river trunk monthly ship accidents,
Figure 875521DEST_PATH_IMAGE031
Figure 426107DEST_PATH_IMAGE032
the average contribution factor of the dam area in the river to the total number of accidents of the ship in the river trunk is obtained.
In a specific embodiment, for the fuel tank leakage consequence event, the probability calculation of the fuel tank leakage corresponding to the initial event is realized by performing statistics and analysis on the existing ship accident data of the Yangtze main line and obtaining the distribution function of the ship accidents in the three gorges dam region by using a statistical fitting method on the basis.
Solving the occurrence probability of the ship accident initial event by using a statistical distribution probability calculation method based on ship accident data; considering that the sample size of ship accident data in the three gorges dam region is small, the annual data and the monthly data are discontinuous, the annual or monthly distribution function of the ship accidents cannot be obtained, the statistical data sample size of the ship accidents in the Yangtze river trunk line is relatively rich, and the distribution function of the ship accidents can be conveniently obtained by a statistical fitting method. Under the condition that the statistical distribution of ship accidents in the three gorges dam region conforms to the overall ship accident distribution rule of the Yangtze main line, the following steps are carried out:
Figure 392926DEST_PATH_IMAGE033
Figure 633414DEST_PATH_IMAGE034
in the formula (I), the compound is shown in the specification,
Figure 52894DEST_PATH_IMAGE035
the distribution function of the monthly ship accidents of the Yangtze river trunk line is obtained;
Figure 404241DEST_PATH_IMAGE036
is a lunar vessel in the three gorges dam regionA ship accident distribution function; x is the moon observation value of the water traffic accident of the Yangtze river trunk;
Figure 225567DEST_PATH_IMAGE037
the average contribution factor of the three gorges dam region to the total number of ship accidents of the Yangtze river trunk line represents the ratio of the number of ship accidents of the three gorges dam region to the total number of ship accidents of the Yangtze river trunk line, and can be generally obtained from related data of ship accident statistics;
Figure 636956DEST_PATH_IMAGE038
is a function of
Figure 543732DEST_PATH_IMAGE039
The expected value of (1) represents the number of monthly ship accidents in the three gorges dam region;
Figure 433191DEST_PATH_IMAGE040
is a function of
Figure 374602DEST_PATH_IMAGE041
The expected value of (1) represents the total number of moon ship accidents of the Yangtze river trunk.
When determining the distribution function of the ship accidents of the Yangtze river trunk line
Figure 222473DEST_PATH_IMAGE042
After the expression, the corresponding accident distribution function of the three gorges ship
Figure 616545DEST_PATH_IMAGE043
Can also obtain a function
Figure 309694DEST_PATH_IMAGE044
The expected value is also available
Figure 105612DEST_PATH_IMAGE045
And expressing, after obtaining the expected value of the number of monthly ship accidents in the three gorges dam region, obtaining the ratio of the number of annual ship accidents to the total number of lockage ships in the three gorges dam region, and finally quantifying the LNG leakage probability caused by the annual ship accidents. At the same time, the initial event corresponding to the fuel tank leakage consequence event is consideredThe method also comprises two types of ship collision and ship fire, so that the occupation ratio of the two types of collision and fire in the total number of ship accidents in the Yangtze river trunk line is also required to be respectively calculated; defining the LOPA risk scenario C1-1 corresponding to an initial event probability of
Figure 858804DEST_PATH_IMAGE046
The initial event probability corresponding to scenario C1-2 is
Figure 740173DEST_PATH_IMAGE047
Then, there is,
Figure 237013DEST_PATH_IMAGE048
Figure 884508DEST_PATH_IMAGE049
in the formula, A represents the proportion of collision accidents in the total number of accidents of the ships of the Yangtze river trunk, B represents the proportion of fire accidents in the total number of accidents of the ships of the Yangtze river trunk, and the values of A and B can be obtained by carrying out statistical analysis on corresponding ship accident data; n is the total number of annual average ship passing through the gate in the three gorges dam region and can be obtained through relevant statistical data of navigation ships;
Figure 543022DEST_PATH_IMAGE050
is a function of
Figure 911686DEST_PATH_IMAGE051
Is calculated from the expected value of (c).
According to a probability calculation method based on statistical distribution, a distribution function of the number of moon ship accidents of the Yangtze river trunk line is obtained through accurate fitting
Figure 212218DEST_PATH_IMAGE052
Then the expected value is obtained
Figure 717148DEST_PATH_IMAGE053
And the value of the parameter A, B is key to calculating the probability of the occurrence of an initial event of the marine accident class.
In solving for
Figure 546564DEST_PATH_IMAGE054
Before, the function should be determined first
Figure 871366DEST_PATH_IMAGE055
The distribution form of (a); according to the Yangtze river ship accident statistical data, 48 sample data are selected to analyze the monthly accident statistical condition, the variance of the near-four-year monthly overwater traffic accident statistical value is used as an abnormal data detection index, 2 data which are more than 3 times of the total standard deviation and obviously deviate from most observed values are removed, linear interpolation is carried out, and the Yangtze river monthly overwater traffic accident statistical condition is obtained, and is shown in figure 2.
As can be seen from fig. 2, the moon ship accident of the Yangtze river trunk line shows a certain periodic variation rule, and in order to obtain a distribution function obeyed by the moon ship accident number of the Yangtze river trunk line, the distribution of the accident number is primarily verified by using a distribution probability verification P-P diagram, and the moon ship accident number Gamma distribution verification P-P diagram of the Yangtze river trunk line is shown in fig. 3. The P-P graph is used as a tool for preliminarily checking a parameter distribution function, the closer the data points are to a straight line, the more the group of data accords with certain distribution, and the preliminary checking of the P-P graph shows that the monthly distribution of the water ship accidents of the Yangtze river trunk line basically accords with Gamma distribution.
To further find out a function
Figure 444430DEST_PATH_IMAGE056
The expression (2) is obtained by fitting and solving a curve equation satisfied by the sample data by using MATLAB, and performing distribution verification by using a mean square error function (MSE). The mean square error is the square root of the ratio of the square of the deviation between the predicted value and the true value to the observation frequency n, and can be used for measuring the goodness of the similarity of a curve fitting value, and when the mean square error is smaller, the curve is closer to a true value; table 2 shows the calculation of five common distribution function MSE values of Gamma distribution, normal distribution, Beta distribution, rayleigh distribution, and exponential distribution in the MATLAB fitting solution.
TABLE 2
Figure 679233DEST_PATH_IMAGE057
According to the above table, the MSE value of Gamma distribution is the minimum and is consistent with the conclusion of primary verification by using a P-P diagram, so that the distribution function of the number of monthly ship accidents of the Yangtze river main line
Figure 14969DEST_PATH_IMAGE058
Can be expressed as
Figure 561488DEST_PATH_IMAGE059
In the formula, x is an observed value of a lunar ship accident in a three gorges dam region;
Figure 203822DEST_PATH_IMAGE060
the average contribution factor of the three gorges dam region to the total number of ship accidents of the Yangtze river trunk line is calculated according to statistical data
Figure 683345DEST_PATH_IMAGE061
Take 0.027.
Solving a distribution function according with the number of monthly ship accidents of the Yangtze river trunk line based on the MATLAB calculation result
Figure 854563DEST_PATH_IMAGE062
Respectively are
Figure 888378DEST_PATH_IMAGE063
Figure 68824DEST_PATH_IMAGE064
Then the expected value for the Gamma distribution is:
Figure 402853DEST_PATH_IMAGE065
calculated, distribution function
Figure 276132DEST_PATH_IMAGE066
Expected value of
Figure 328401DEST_PATH_IMAGE067
70.46, the distribution function of the number of the moon ship accidents in the three gorges dam region also conforms to Gamma distribution, and then the distribution function of the number of the moon ship accidents in the three gorges dam region can be obtained
Figure 44029DEST_PATH_IMAGE068
Expected value of
Figure 498144DEST_PATH_IMAGE069
Is 1.90.
On the calculation of the ratio of the collision accident to the parameter A and the ratio of the fire accident to the parameter B, through statistical analysis of two types of accident situations of ship collision and fire in the water traffic accident of the Yangtze river trunk from 2008 to 2018, the statistical situation of the types of the water traffic accident from 2008 to 2018 is shown in Table 3,
TABLE 3
Figure 542323DEST_PATH_IMAGE070
It can be seen that the number of collision accidents occupies about half of the total number of water traffic accidents, the annual average percentage is about 45.5%, and the number of fire accidents is relatively small, about 5.40%, so that the parameter a can be determined to be 0.455 and the parameter B can be determined to be 0.054.
The initial event occurrence probability corresponding to the LOPA risk scenario C1-1 can be calculated
Figure 81889DEST_PATH_IMAGE071
Is composed of
Figure 604137DEST_PATH_IMAGE072
Probability of occurrence of initial event corresponding to second/year risk scenario C1-2
Figure 912759DEST_PATH_IMAGE073
Is composed of
Figure 862260DEST_PATH_IMAGE074
The next time/year.
For the leakage consequence events of the gas supply system, the corresponding initial events can be divided into two types, namely pipeline or equipment failure and human error according to the properties, and in consideration of the great difference of the properties of the two types of initial events, a proper initial event probability calculation method is selected according to the theoretical basis of the probability analysis method.
For initial events (risk scenes C2-1 to C2-6) of pipeline or equipment failure, a probability calculation method of Bayesian estimation is adopted, the existing failure database at home and abroad is used as a data source of a prior distribution function and a likelihood function in Bayesian estimation, the probability distribution forms of the prior distribution and the likelihood function are determined through a probability conjugate distribution principle, the expression form of the posterior distribution function is deduced, and the expected value is obtained, namely the probability of the initial events of pipeline or equipment failure.
For the human-induced fault initial event (risk scenario C2-7), the probability of the human-induced fault initial event is quantified by using a human-induced reliability analysis method (HCR method) and according to a probability calculation formula of the human-induced fault in the HCR method.
Preferably, the determining, according to the data of the risk scenario corresponding to the consequence event, the probability of the initial event in the risk scenario corresponding to the consequence event further includes:
determining the initial event probability of the pipeline or equipment failure risk scene corresponding to the gas supply system leakage consequence event according to the pipeline or equipment failure risk scene corresponding to the gas supply system leakage consequence event and a Bayesian formula; the Bayes formula is
Figure 623543DEST_PATH_IMAGE075
Wherein
Figure 683903DEST_PATH_IMAGE076
,i=2,m=1,2,…,6,
Figure 847031DEST_PATH_IMAGE077
Figure 233013DEST_PATH_IMAGE078
Respectively, a prior function and a likelihood function of the pipeline or equipment failure class.
In one embodiment, for calculating the failure probability of a pipe or equipment using a Bayesian method, it is most important to obtain a posterior distribution function in a Bayesian estimation as the failure probability of the pipe or equipment
Figure 747171DEST_PATH_IMAGE079
The posterior function can be obtained by a prior function
Figure 611222DEST_PATH_IMAGE080
And normalized likelihood function
Figure 894435DEST_PATH_IMAGE081
The result is obtained according to the Bayesian formula,
Figure 451319DEST_PATH_IMAGE082
can be represented by the following formula:
Figure 187193DEST_PATH_IMAGE083
(i=2,m=1,2,…,6)
in the formula (I), the compound is shown in the specification,
Figure 120514DEST_PATH_IMAGE084
specific data representative of the LNG industry is presented,
Figure 992655DEST_PATH_IMAGE085
representing the general data of other industries, wherein both the general data and the general data can be obtained from corresponding failure databases;
according to the basic theory of Bayesian probability calculation method, prior function
Figure 457790DEST_PATH_IMAGE086
And likelihood function
Figure 680961DEST_PATH_IMAGE087
The determination of the distribution form mostly follows the conjugate distribution theorem, i.e. the likelihood function is also called the conjugate likelihood function of the prior distribution, assuming that the prior distribution and the posterior distribution belong to the same type of distribution function[80]. Selecting Gamma distribution and its conjugate likelihood function Poisson distribution as Bayesian distribution function of initial event of pipeline or equipment failure, i.e. assuming failure probability of pipeline or equipment
Figure 886815DEST_PATH_IMAGE088
And its prior function
Figure 879042DEST_PATH_IMAGE089
All satisfy Gamma distribution, likelihood function after normalization
Figure 777727DEST_PATH_IMAGE090
If the poisson distribution is satisfied, then:
Figure 222615DEST_PATH_IMAGE091
Figure 966580DEST_PATH_IMAGE092
in the formula, beta is a proportion parameter, alpha is a shape parameter which are dimensionless numbers, and the distribution shape of the prior function is determined; x and t are shape parameters of the poisson distribution and represent the number of times a certain initial event occurs within t hours as x.
According to the variance calculation formula expected by the Gamma function, the prior function can be obtained
Figure 813314DEST_PATH_IMAGE093
Is expected to
Figure 617322DEST_PATH_IMAGE094
Is alpha/beta, variance
Figure 815085DEST_PATH_IMAGE095
Is alpha/beta2(ii) a Therefore, through the expression of the prior function and the likelihood function, the expression of the posterior function can be derived, and the expression includes:
Figure 362741DEST_PATH_IMAGE096
Figure 329560DEST_PATH_IMAGE097
according to the distribution expression of the failure probability of the pipeline or the equipment, the distribution parameters of the posterior function
Figure 304469DEST_PATH_IMAGE098
And
Figure 989528DEST_PATH_IMAGE099
distribution parameters of available prior functions
Figure 72366DEST_PATH_IMAGE100
And
Figure 159271DEST_PATH_IMAGE101
and the parameters x and t in the likelihood function are expressed as follows:
Figure 570661DEST_PATH_IMAGE102
Figure 743016DEST_PATH_IMAGE103
according to the calculation formula of expectation and variance of Gamma function, posterior distribution function
Figure 366895DEST_PATH_IMAGE104
Expected value of
Figure 42727DEST_PATH_IMAGE105
I.e. the probability of failure of the pipe or equipment
Figure 562702DEST_PATH_IMAGE106
As shown in the following formula:
Figure 253313DEST_PATH_IMAGE107
in the formula (I), the compound is shown in the specification,
Figure 946463DEST_PATH_IMAGE108
and
Figure 742380DEST_PATH_IMAGE109
is the distribution parameter of the prior function, and x and t are the distribution parameters of the likelihood function.
Expected value of a posteriori function
Figure 698835DEST_PATH_IMAGE110
Namely the occurrence probability of the initial event of the failure of the pipeline or the equipment in the LOPA risk scene
Figure 986728DEST_PATH_IMAGE111
The method can be solved by using distribution parameters of a prior function and a likelihood function, so that the key for solving the failure probability of the pipeline or equipment is the calculation of the prior distribution function and the likelihood function.
Based on the related content of the probability calculation method of Bayesian estimation, on the basis of assuming that the prior function of the initial event obeys Gamma distribution, the initial event probability corresponding to the LOPA risk scenes of C2-1 to C2-6 is calculated by utilizing a database (HCRD database, OGP risk evaluation data catalogue, sea-land reliability database or European industrial reliability database); the prior distribution information of the initial event mainly comes from general failure databases such as HCRD (hybrid gas turbine protector), OGP (open gas turbine protector) and the like, wherein the HCRD database provides leakage data of hydrocarbons in the global range, and the leakage data comprise failure probabilities of equipment such as pipeline joints, valves, heat exchangers and the like; table 4 is a prior probability summary of the initial event of the failure class of the pipe or the equipment of the passing brake system.
TABLE 4
Figure 952410DEST_PATH_IMAGE112
In the aspect of information sources of the likelihood functions, according to the relational database, statistical data about the failure probability of pipelines or equipment of the LNG fuel powered ship is almost blank at present, and considering that the structure and the arrangement of a gas supply system of the LNG fuel powered ship are similar to those of terrestrial LNG processing pipelines and equipment, such as equipment with a heat exchanger, an evaporator and the like, and the working environment of the gas supply system is similar to that of the LNG fuel powered ship, the related information of the likelihood functions is obtained mainly through a DNV marine equipment reliability database, an LNG processing industry data report and the like. Table 5 is a list of likelihood function information for initial events of pipeline or equipment failure type.
TABLE 5
Figure 337255DEST_PATH_IMAGE113
Combining the prior function information and the related content of the likelihood function information, the shape parameter of the Gamma distribution of the posterior function can be calculated
Figure 261349DEST_PATH_IMAGE114
And
Figure 833275DEST_PATH_IMAGE115
to further find the expected value of the a posteriori function
Figure 599719DEST_PATH_IMAGE116
That is, the probability of occurrence of the initial event of failure of the pipe or equipment of the passing brake system
Figure 104649DEST_PATH_IMAGE117
. Calculated, initial event probability of pipeline or equipment failure class, as shown in table 6.
TABLE 6
Figure 465223DEST_PATH_IMAGE118
According to the calculation result of the pipeline or equipment failure type initial event probability, the accuracy degree of Bayesian estimation is evaluated, and the range of the confidence interval corresponding to the 95% confidence level is calculated to be used as the error range of Bayesian estimation. According to the statistical principle, for Gamma distribution, the upper limit of the confidence interval corresponding to the 95% confidence level is
Figure 55605DEST_PATH_IMAGE119
And lower limit
Figure 628669DEST_PATH_IMAGE120
The calculation can be made using the following formula:
Figure 925789DEST_PATH_IMAGE121
Figure 863789DEST_PATH_IMAGE122
in the formula (I), the compound is shown in the specification,
Figure 144729DEST_PATH_IMAGE123
the chi-squared distribution function is represented,
Figure 787063DEST_PATH_IMAGE124
and
Figure 269515DEST_PATH_IMAGE125
the quantile of chi-square distribution whose value can be obtained by referring to the chi-square distribution critical probability table corresponding to the degree of freedom, and table 7 is the chi-square distribution critical probability table.
TABLE 7
Figure 706313DEST_PATH_IMAGE126
With reference to the related contents of table 7, error ranges of the initial event probabilities of the LOPA risk scenarios C2-1 to C2-6 solved by using bayesian estimation are respectively obtained, as shown in table 8, and fig. 4 is an initial event occurrence probability histogram with error lines.
Error range cases were calculated based on the initial event probabilities of the bayesian estimates as shown in table 8.
TABLE 8
Figure 474549DEST_PATH_IMAGE127
As can be seen from fig. 4, the failure of the flange joint seal, the failure of the pipeline valve, and the rupture of the gas supply pipeline are the three initial events with the highest probability; when the Bayes estimation method is used for probability calculation, the probability calculation precision of initial events of evaporator failure and supercharging device failure is relatively higher, and the probability calculation of all pipeline or equipment failure initial events is within 3 times of the allowable error range, so that the accuracy of solving the pipeline or equipment failure initial events by using the Bayes estimation-based probability calculation method is higher.
Preferably, the determining, according to the data of the risk scenario corresponding to the consequence event, the probability of the initial event in the risk scenario corresponding to the consequence event further includes:
determining the initial event probability of the human error scene corresponding to the air supply system leakage consequence event according to the human error risk scene data corresponding to the air supply system leakage consequence event and an air supply system leakage probability formula; the leakage probability formula of the gas supply system is
Figure 389415DEST_PATH_IMAGE128
Wherein T is the allowable response time after human error, T is the actual response time after considering the influence factor of the brake passing,
Figure 989024DEST_PATH_IMAGE129
Figure 596722DEST_PATH_IMAGE130
Figure 648992DEST_PATH_IMAGE131
is a distribution shape parameter.
In one embodiment, the risk identification result of the lockage system is used to identify the leakage of the gas supply system caused by human errors, which mainly takes into account the mechanical damage of the pipeline or equipment caused by human errors, and the LNG leakage caused by taking no effective measures within a certain period of time.
And calculating the human factor error probability by adopting an HCR (human factor response) method according to the determined initial event probability calculation method. By combining the actual process of the LNG fuel power ship lockage, the factors which possibly cause human errors in the lockage system are used as behavior correction factors of response time, so that the leakage probability of the gas supply system caused by the human errors is reduced
Figure 367549DEST_PATH_IMAGE132
Calculating;
Figure 87244DEST_PATH_IMAGE132
this can be calculated from a three parameter weibull distribution as shown below:
Figure 865844DEST_PATH_IMAGE133
wherein T is the response time allowed after human error, and the unit is second, which can be generally defined according to the related emergency response requirement of ship lockage, T is the actual response time corrected by considering the lockage influence factor, and the unit is second,
Figure 405410DEST_PATH_IMAGE134
Figure 193237DEST_PATH_IMAGE135
Figure 501859DEST_PATH_IMAGE136
is a distribution shape parameter. Thus, for human error probability
Figure 451360DEST_PATH_IMAGE137
For the calculation of (2), it is most important to obtain the distribution shape parameter
Figure 947064DEST_PATH_IMAGE138
Figure 4494DEST_PATH_IMAGE139
Figure 167622DEST_PATH_IMAGE136
And calculating the corrected actual response time T.
Distribution shape parameter
Figure 288025DEST_PATH_IMAGE140
Figure 67762DEST_PATH_IMAGE141
Figure 931813DEST_PATH_IMAGE142
The degree of influence of the behavior type of the person on the human factor error probability is represented as a dimensionless number, the value of the dimensionless number can be generally referred to the results of the existing simulation tests at home and abroad, wherein the behavior type of the person is divided into a skill type, a rule type and a knowledge type by using the most assignment method, and the skill type, the rule type and the knowledge type respectively correspond to the skill type, the rule type and the knowledge type
Figure 949447DEST_PATH_IMAGE143
Figure 506330DEST_PATH_IMAGE144
Figure 507784DEST_PATH_IMAGE145
Value of (2), distribution shape parameter
Figure 644368DEST_PATH_IMAGE146
Figure 782088DEST_PATH_IMAGE147
Figure 509873DEST_PATH_IMAGE148
The values of (a) are, as shown in table 9,
TABLE 9
Figure 733043DEST_PATH_IMAGE149
According to the actual situation of the LNG fuel power ship lockage system, considering that the lockage operation of a crew is mainly based on a series of training and practice so as to achieve the purpose of skilled operation, the behavior type of a person in the lockage process is defined as a skill type, and the distribution shape parameters of the skill type
Figure 204476DEST_PATH_IMAGE150
Figure 196703DEST_PATH_IMAGE135
Figure 829810DEST_PATH_IMAGE136
Are respectively 0.407, 1.200 and 0.700.
According to the related content of the HCR method, the corrected actual response time T can be obtained by defining a corresponding behavior correction factor KnThe standard person response time Tc is corrected and obtained as shown in the following formula,
Figure 805856DEST_PATH_IMAGE151
in the formula, T is the corrected actual response time of the personnel and the unit is second; t isCThe response time of a standard person is in seconds, generally the shortest time for a human body to generate effective reaction, and Tc can be 6s according to related research;
Figure 815400DEST_PATH_IMAGE152
a behavior parameter that is a weighted behavior modification factor;
Figure 927713DEST_PATH_IMAGE153
for each behavior modification factorThe weight of (c).
Combining the actual situation of the LNG fuel power ship lockage, providing 5 behavior correction factors of people in the lockage process, respectively selecting corresponding lockage system behavior correction factors for each behavior correction factor, and respectively selecting behavior parameters K and weight of each correction factor
Figure 722932DEST_PATH_IMAGE154
Quantification is performed, and values of behavior correction factors and behavior parameters of the passing gate system are shown in table 10.
Watch 10
Figure 920695DEST_PATH_IMAGE155
In the table, H is the average time to be gated of the three gorges ship in 2019, and the longer the average time to be gated is, the longer the downtime of the ship air supply system is, and the higher the probability of the air supply system failure possibly caused by the operation of personnel is; the MTBF (mean Time Between failure) represents the mean Time Between failures and can represent the continuous working capacity of the gas supply system, and the larger the MTBF value of the gas supply system is, the lower the possibility of the gas supply system to fail in the process of operating personnel is.
The probability calculation of a human error-like initial event for the consequences of gas supply leakage due to human error is shown in table 11, in combination with the parameters associated with the five behavior modification factors of the lockage system.
TABLE 11
Figure 733930DEST_PATH_IMAGE156
The probability of the human error initial event corresponding to the LOPA risk scene C2-7 is calculated
Figure 700749DEST_PATH_IMAGE157
Was 0.0013.
Preferably, the wind corresponding to the consequence event is determined according to the data of the risk scene corresponding to the consequence eventThe probability of the initial event in the risk scenario further comprises: according to the power system long-term outage risk scene data corresponding to the safety valve take-off leakage consequence event and the safety valve take-off probability formula
Figure 675658DEST_PATH_IMAGE158
Determining the initial event probability of the power system long-term outage risk scene corresponding to the safety valve take-off leakage consequence event; wherein the content of the first and second substances,
Figure 95138DEST_PATH_IMAGE159
initial event probability, t, of a power system long-term outage risk scenario corresponding to a safety valve jump-out leakage consequence eventvFor the maximum possible leakage time of the safety valve during the switching-off process, tsThe average lockdown time of an LNG fuelled ship.
According to the risk identification result of the switching-off system, the initial event corresponding to the tripping leakage of the safety valve is that the fuel power system is stopped for a long time, the LNG storage tank cannot be completely insulated from the outside, and the LNG absorbs a large amount of heat to be evaporated, so that the pipeline overpressure caused by excessive BOG gas in the storage tank causes the tripping of the safety valve. The safety valve is used as an automatic valve commonly used in the LNG industry, can prevent the pressure in a container from exceeding a safety value by discharging certain fluid, and is closed and prevents the fluid from continuing to flow after the pressure in the container is recovered to the recoil pressure of the safety valve.
The most dangerous situation is that all BOG gas generated in the switching period is discharged by the safety valve, the possible maximum leakage time of the safety valve is calculated, and the tripping probability of the safety valve in the switching period is obtained, and then:
Figure 180906DEST_PATH_IMAGE160
in the formula (I), the compound is shown in the specification,
Figure 2231DEST_PATH_IMAGE161
the probability of take-off of the safety valve; t is tvThe maximum possible leakage time of the safety valve in the process of switching off is s; t is tsAveraging for LNG-fueled vesselsThe unit of the gate-passing time is h, and the gate-passing time can be obtained according to the vessel navigation statistical data of the three gorges.
Therefore, the key for calculating the tripping leakage probability of the safety valve is to calculate the maximum possible leakage time t of the safety valve in the process of switching overv. BOG gas generated by the LNG storage tank during the waiting period of the LNG fuel power ship is leaked by the jump of the safety valve tvThe calculation can be made using the following formula:
Figure 148042DEST_PATH_IMAGE162
in the formula (I), the compound is shown in the specification,
Figure 54818DEST_PATH_IMAGE163
the total mass of BOG gas generated in the LNG storage tank during the whole lockage period is kg; w is the relief rate of the relief valve in kg/s;
Figure 209856DEST_PATH_IMAGE164
is the density of the LNG;
Figure 885688DEST_PATH_IMAGE165
the filling rate of the fuel tank of the LNG fuel power ship; v is the volume of the fuel tank of the LNG fuel power ship and has the unit of m3
Figure 467979DEST_PATH_IMAGE166
The daily average boil-off rate of the LNG fuel tank, defined as the mass of LNG vaporized in 24 hours as a percentage of the total mass, is used to characterize the severity of gas production in the LNG tank. And respectively calculating the daily average evaporation rate of the LNG fuel tank and the discharge rate of the safety valve according to the discharge probability model of the safety valve of the lockage system, thereby obtaining the jump leakage probability of the safety valve.
Average daily evaporation rate of LNG
Figure 862051DEST_PATH_IMAGE167
The common methods of calculating (A) are mainly experimental method, natural pressurization method, liquid level difference method and the like, and can be generally carried out by the following formulaAnd (3) calculating:
Figure 286692DEST_PATH_IMAGE168
in the formula (I), the compound is shown in the specification,
Figure 82609DEST_PATH_IMAGE169
is the latent heat of vaporization of LNG, and is 455.87 kJ/kg;
Figure 835802DEST_PATH_IMAGE170
the storage density of LNG is 422.5kg/m3
Figure 451591DEST_PATH_IMAGE171
The filling rate of the fuel tank of the LNG fuel power ship is generally 75%; v is the volume of the fuel tank of the LNG fuel power ship, and the volume of the fuel tank of the research ship type selected in the text is 20m3(ii) a Q is the daily heat leakage quantity of the LNG storage tank, and the unit is KW.
At LNG storage tank day heat leakage Q's calculation, the external environment temperature does not change during the supposition of passing brake, and temperature distribution is even in the LNG storage tank, then has:
Figure 948431DEST_PATH_IMAGE172
in the formula, K is the heat conduction coefficient of the storage tank material, the unit is W/(m.K), the commonly used storage tank heat insulation material is taken, and K is 0.04W/(m.K); t is0The external environment temperature is 290K; t is the vaporization temperature of LNG and is 112K; a is the effective heat transfer area of the storage tank, and the unit is m2
For the calculation of the effective heat transfer area A, besides the self-heating area At of the storage tank, the heating area Ap of the pipeline where the safety valve is located is also considered, and the calculation can be carried out by the following formula:
Figure 598855DEST_PATH_IMAGE173
wherein D istAnd LtThe diameter and the effective length of the LNG storage tank are respectively 2.5m and 5 m; dpAnd LtThe diameter and effective length of the pipeline where the safety valve is located are 0.05m and 4m respectively. Daily evaporation rate of available LNG storage tank
Figure 522949DEST_PATH_IMAGE174
It was 0.44%.
On the calculation of the relief rate w of the safety valve, the relief rate is related to the pressure and the flow rate in the pipeline of the LNG fuel powered ship gas supply system, the flow can be divided into two basic forms of critical flow and subcritical flow according to the flow rate, and the relief rate calculation model corresponding to each form is different.
When the gas in the gas supply pipeline is in critical flow, the leakage rate is as follows:
Figure 891614DEST_PATH_IMAGE175
(when)
Figure 192145DEST_PATH_IMAGE176
Time)
When the gas in the gas supply pipeline flows in a subcritical mode, the leakage rate is as follows:
Figure 697076DEST_PATH_IMAGE177
(when)
Figure 792071DEST_PATH_IMAGE178
Time)
Wherein w is the leak rate in kg/s; cDFor the leakage coefficient, it is usually 0.61; a is the effective cross-sectional area of the leakage hole, unit m2;PatmIs atmospheric pressure in Pa; pTIs the absolute pressure of the gas supply system, in Pa; k is the adiabatic index of the gas at the leak, k being about 1.371 for natural gas; m is the molar mass of the methane gas and is 16.043 kg/mol; t is the initial temperature of the gas at the leak and is 112K; rAs a gas constant, 8.314J/(mol k) was obtained.
Absolute pressure P at overpressure in the line in which the safety valve is locatedTTo atmospheric pressure PatmIs 0.11, the criterion for critical flow is satisfied, and therefore, the relief valve bleed rate w can be calculated by equation 24. And solving the leakage rate model of the safety valve to determine that the tripping rate w of the lockage safety valve of the LNG fuel power ship is 3.07 kg/s.
The maximum possible leakage time t of the safety valve in the process of passing the brake of the LNG fuel power ship can be obtainedvThe parameters are substituted into a safety valve leakage probability model of an expression type 4-19 for 11.01s, and the take-off probability of the safety valve in the process of passing through the brake of the LNG fuel powered ship, namely the initial event occurrence probability corresponding to the LOPA risk scene C3-1, is calculated
Figure 648031DEST_PATH_IMAGE179
Is composed of
Figure 486674DEST_PATH_IMAGE180
. The trip safety valve take-off probability for LNG-fueled ships is shown in table 12.
TABLE 12
Figure 111690DEST_PATH_IMAGE181
Preferably, determining the risk scene frequency corresponding to the initial event according to the probability of the initial event in the risk scene corresponding to the consequence event specifically includes:
determining the frequency of the risk scene corresponding to the initial event according to a probability and frequency calculation formula of the initial event in the risk scene corresponding to the consequence event; the frequency is calculated by the formula
Figure 377587DEST_PATH_IMAGE182
Wherein ci-m represents the mth risk scenario corresponding to the ith outcome event, n represents the nth independent protection layer corresponding to the mth risk scenario,
Figure 720843DEST_PATH_IMAGE183
for the mth risk scenario frequency corresponding to the ith outcome event,
Figure 97598DEST_PATH_IMAGE184
is the probability of the initial event in the mth risk scenario corresponding to the ith outcome event,
Figure 842700DEST_PATH_IMAGE185
the failure probability of the nth independent protection layer in the mth risk scenario.
Preferably, the method for determining the risk probability of the leakage accident according to the probability of the consequence event includes: acquiring the probability of occurrence of an outcome event according to the risk scene frequency corresponding to the initial event and the probability formula of occurrence of the outcome event, and determining the risk probability of the leakage accident according to the probability of occurrence of the outcome event and the risk probability formula; the probability formula of the occurrence of the consequence event is
Figure 16848DEST_PATH_IMAGE186
The risk probability formula is
Figure 847401DEST_PATH_IMAGE187
,PLiFor the occurrence probability of the consequence event i in the time T, i =1, 2 and 3 respectively represent three consequence events of fuel tank leakage, gas supply system leakage and safety valve jump leakage, wherein W is an over-brake mode factor, and S is an over-brake stage factor;
Figure 27847DEST_PATH_IMAGE188
is the occurrence probability of the ith outcome event.
In one embodiment, the calculation of the risk probability includes the probability of LNG leakage occurring when the fuel tank, the gas supply system and the safety valve jump, and the influence of different lockage modes and lockage stages is comprehensively considered, so that the risk probability model is established as follows:
Figure 627455DEST_PATH_IMAGE189
in the formula, PLiThe occurrence probability of a certain result event i within the time T (unit is year) after correction; i =1, 2 and 3, respectively representing three consequent events of fuel tank leakage, gas supply system leakage and safety valve take-off leakage; w is a lockage mode factor, represents the influence degree of different lockage modes of the LNG fuel power ship on the lockage system risk probability, and is a dimensionless number; s is a lockage stage factor, represents the influence degree of different lockage stages of the LNG fuel power ship on the lockage system risk probability, and is a dimensionless number;
Figure 235154DEST_PATH_IMAGE190
is the occurrence probability of the ith consequence event of the brake-passing system.
Probability of occurrence of event i for a certain consequence
Figure 287424DEST_PATH_IMAGE191
In other words, according to the risk identification result, the same consequence event corresponds to a plurality of initial events to form a plurality of LOPA risk scenarios, and therefore, the frequency of each LOPA risk scenario should be adjusted
Figure 271560DEST_PATH_IMAGE192
Accumulating to obtain the probability of some event
Figure 663358DEST_PATH_IMAGE193
. Meanwhile, according to the frequency calculation formula of the LOPA risk scene,
Figure 707538DEST_PATH_IMAGE194
can be obtained by multiplying the initial event frequency by the probability of failure of all the individual protective layers, then:
Figure 981524DEST_PATH_IMAGE195
in the formula, ci-m represents the mth LOPA risk scene corresponding to the ith outcome event; n represents the corresponding nth individual protective layer in the mth LOPA risk scenario;
Figure 503772DEST_PATH_IMAGE196
the risk scene frequency of the mth LOPA corresponding to the ith outcome event;
Figure 812394DEST_PATH_IMAGE197
the probability of the initial event in the mth LOPA risk scene corresponding to the ith outcome event is obtained;
Figure 27475DEST_PATH_IMAGE198
the failure probability of the nth independent protection layer in the mth LOPA risk scenario.
Example 2
The embodiment of the invention provides a device for calculating the probability of an LNG fuel powered ship leakage accident, which comprises a processor and a memory, wherein a computer program is stored in the memory, and when the computer program is executed by the processor, the method for calculating the probability of the LNG fuel powered ship leakage accident in the embodiment 1 is realized.
Example 3
An embodiment of the present invention provides a computer-readable storage medium, on which a computer program is stored, which, when executed by a processor, implements the LNG-fueled ship leakage accident probability calculation method according to embodiment 1.
The invention discloses a method and a device for calculating the probability of an LNG fuel power ship leakage accident and a computer readable storage medium, wherein the probability of an initial event in a risk scene corresponding to an outcome event is determined according to the data of the risk scene corresponding to the outcome event by acquiring the data of the risk scene corresponding to the outcome event; determining the risk scene frequency corresponding to the initial event according to the probability of the initial event in the risk scene corresponding to the consequence event; acquiring the probability of occurrence of an outcome event according to the risk scene frequency corresponding to the initial event, and determining the risk probability of the leakage accident according to the probability of occurrence of the outcome event; the method and the device realize the quantitative calculation of the leakage accident probability of the LNG fuel power ship.
The technical scheme of the invention provides that a Bayesian estimation method is used for carrying out quantitative calculation on the failure probability of the pipeline or equipment, so that the accuracy of quantitative risk calculation of the lockage system of the LNG fuel powered ship is improved, and the problem of sample data shortage of accidents is solved; from the perspective of combining theory and engineering practice, the risk probability of the LNG fuel powered ship passing brake system is calculated quantitatively, scientific support can be provided for the formulation of the LNG fuel powered ship passing brake related policy, and meanwhile, the method has very important significance for promoting the development of Yangtze river green shipping.
The above description is only for the preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any changes or substitutions that can be easily conceived by those skilled in the art within the technical scope of the present invention are included in the scope of the present invention.

Claims (7)

1. A method for calculating the probability of an accident of leakage of an LNG fuel power ship is characterized by comprising the following steps:
acquiring data of a risk scene corresponding to an outcome event, and determining the probability of an initial event in the risk scene corresponding to the outcome event according to the data of the risk scene corresponding to the outcome event, wherein the method comprises the step of determining the probability of an initial event of a ship collision risk scene and a ship fire risk scene corresponding to a fuel tank leakage outcome event according to the data of the risk scene corresponding to the outcome event;
determining the frequency of the risk scene corresponding to the initial event according to a probability and frequency calculation formula of the initial event in the risk scene corresponding to the consequence event; the frequency is calculated by the formula
Figure 337536DEST_PATH_IMAGE001
Wherein ci-m represents the mth risk scenario corresponding to the ith outcome event, n represents the nth independent protection layer corresponding to the mth risk scenario,
Figure 515708DEST_PATH_IMAGE002
for the mth risk scenario frequency corresponding to the ith outcome event,
Figure 997505DEST_PATH_IMAGE003
is the probability of the initial event in the mth risk scenario corresponding to the ith outcome event,
Figure 535802DEST_PATH_IMAGE004
the failure probability of the nth independent protection layer in the mth risk scene;
acquiring the probability of occurrence of an outcome event according to the risk scene frequency corresponding to the initial event and the probability formula of occurrence of the outcome event, and determining the risk probability of the leakage accident according to the probability of occurrence of the outcome event and the risk probability formula; the probability formula of the occurrence of the consequence event is
Figure 419445DEST_PATH_IMAGE005
The risk probability formula is
Figure 768518DEST_PATH_IMAGE006
,PLiFor the occurrence probability of the consequence event i in the time T, i =1, 2 and 3 respectively represent three consequence events of fuel tank leakage, gas supply system leakage and safety valve jump leakage, wherein W is an over-brake mode factor, and S is an over-brake stage factor;
Figure 737611DEST_PATH_IMAGE007
is the occurrence probability of the ith outcome event.
2. The LNG fuel powered ship leakage accident probability calculation method according to claim 1, wherein determining initial event probabilities of a ship collision risk scenario and a ship fire risk scenario corresponding to a fuel tank leakage consequence event according to data of a risk scenario corresponding to the consequence event comprises:
determining the ship collision risk scene corresponding to the fuel tank leakage consequence event and the initial event probability of the ship fire risk scene according to the data of the ship collision risk scene and the ship fire risk scene corresponding to the fuel tank leakage consequence event and a corresponding initial event probability formula;
the initial event probability formula of the ship collision risk scene corresponding to the fuel tank leakage consequence event is
Figure 315485DEST_PATH_IMAGE008
The initial event probability formula of the ship fire risk scene is
Figure 319213DEST_PATH_IMAGE009
Wherein A is the proportion of collision accidents in the total number of accidents of the ships of the Yangtze river trunk line, B is the proportion of fire accidents in the total number of accidents of the ships of the Yangtze river trunk line, N is the total number of annual gate-passing ships in the three gorges dam region,
Figure 839187DEST_PATH_IMAGE010
the expected value of the distribution function of the number of monthly ship accidents of the Yangtze river trunk line.
3. The method for calculating the probability of the LNG-fueled ship leakage accident according to claim 1, wherein the probability of the initial event in the risk scenario corresponding to the consequence event is determined according to the data of the risk scenario corresponding to the consequence event, and further comprising:
determining the initial event probability of the pipeline or equipment failure risk scene corresponding to the gas supply system leakage consequence event according to the pipeline or equipment failure risk scene corresponding to the gas supply system leakage consequence event and a Bayesian formula; the Bayes formula is
Figure 295576DEST_PATH_IMAGE011
Wherein
Figure 175676DEST_PATH_IMAGE012
,i=2,m=1,2,…,6,
Figure 502752DEST_PATH_IMAGE013
Figure 193628DEST_PATH_IMAGE014
Respectively, a prior function and a likelihood function of the pipeline or equipment failure class.
4. The method for calculating the probability of the LNG-fueled ship leakage accident according to claim 1, wherein the probability of the initial event in the risk scenario corresponding to the consequence event is determined according to the data of the risk scenario corresponding to the consequence event, and further comprising:
determining the initial event probability of the human error scene corresponding to the air supply system leakage consequence event according to the human error risk scene data corresponding to the air supply system leakage consequence event and an air supply system leakage probability formula; the leakage probability formula of the gas supply system is
Figure 137313DEST_PATH_IMAGE015
Wherein T is the allowable response time after human error, T is the actual response time after considering the influence factor of the brake passing,
Figure 322569DEST_PATH_IMAGE016
Figure 300889DEST_PATH_IMAGE017
Figure 631508DEST_PATH_IMAGE018
is a distribution shape parameter.
5. The method for calculating the probability of the LNG-fueled ship leakage accident according to claim 1, wherein the probability of the initial event in the risk scenario corresponding to the consequence event is determined according to the data of the risk scenario corresponding to the consequence event, and further comprising: according to the number of power system long-term outage risk scenes corresponding to the safety valve take-off leakage consequence eventsAccording to the formula of the tripping probability of the safety valve
Figure 328068DEST_PATH_IMAGE019
Determining the initial event probability of the power system long-term outage risk scene corresponding to the safety valve take-off leakage consequence event; wherein the content of the first and second substances,
Figure 549971DEST_PATH_IMAGE020
initial event probability, t, of a power system long-term outage risk scenario corresponding to a safety valve jump-out leakage consequence eventvFor the maximum possible leakage time of the safety valve during the switching-off process, tsThe average lockdown time of an LNG fuelled ship.
6. An apparatus for calculating a probability of an LNG-fueled ship leakage accident, comprising a processor and a memory, wherein the memory stores a computer program, and the computer program, when executed by the processor, implements the method for calculating a probability of an LNG-fueled ship leakage accident according to any one of claims 1 to 5.
7. A computer-readable storage medium, on which a computer program is stored, which, when being executed by a processor, carries out a method for calculating a leak accident probability of an LNG-fueled ship according to any one of claims 1 to 5.
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