Summary of the invention
In view of the deficiencies in the prior art, the purpose of the present invention is to provide one kind to input three exported all the way all the wayStatus devices analogy method, for the deficiency of existing GO method operator, simplifying tool, there are three types of the GO methods of status devices to analyze work,Direct quantitative calculates the state probability and state cumulative probability of output signal, improves the efficiency of GO method fail-safe analysis.
To achieve the above object, The technical solution adopted by the invention is as follows:
It is a kind of to input the three condition equipment simulating method exported all the way all the way, comprising the following steps:
Establish the GO method operator with an input signal and an output signal, in which:
The operator is used to simulate the three condition equipment for having an input signal and an output signal,
The state that setting input signal and output signal specifically include,
The operation rule of setting operation symbol, embodies the state value of input signal and the state value of operator to output signalThe influence of state value,
The three condition GO method operator exported all the way and its operation rule, setting operation are inputted all the way according to as described aboveThe state probability of symbol is Pc(i),
Calculate the state probability and state cumulative probability under output signal different conditions.
Further, as described above a kind of to input the three condition equipment simulating method exported all the way all the way, input signal andOutput signal all has four kinds of states: signal normal through success status, the loss state lost of signal section, signal it is wholeThe miss status of loss, the no signal malfunction as caused by other equipment failure.
Further, one kind as described above inputs the three condition equipment simulating method exported all the way, operation rule packet all the wayIt includes:
When the state of operator is successfully, the state value of output signal is identical as input signal；
When the state of operator is loss, if the state of input signal is successfully or to lose, the shape of output signalState is loss；If the state of input signal is missing or no signal failure, it is scarce that the state of output signal, which respectively corresponds,Mistake or no signal failure；
When the state of operator is missing, if the state of input signal is no signal failure, the shape of output signalState is no signal failure；For remaining state of input signal, the state of output signal is missing.
Further, one kind as described above inputs the three condition equipment simulating method exported all the way all the way, if VSFor inputState value, the V of signalCState value, V for operatorRFor the state value of output signal,
Signal success status is indicated with (1~N-1),
The no signal malfunction as caused by other equipment failure is indicated with N,
Use N1Indicate loss of signal malfunction,
Use N2Indicate signal deletion malfunction.
Further, one kind as described above inputs the three condition equipment simulating method exported all the way all the way, calculates output letterState probability and state cumulative probability under number different conditions use following algorithm:
The state probability of input signal is Ps(i), state cumulative probability is AS(i), i is the state value of input signal,
The state probability of output signal is PR(i), state cumulative probability is AR(i), i is the state value of output signal,
Then:
Output signal is that the state probability of success status and state cumulative probability calculation formula are respectively as follows:
PR(i)=Ps(i)·Pc(i) i=1 ..., N-1 (1)
AR(i)=AS(i)·Pc(i) i=1 ..., N-1 (2)
Output signal is that the state probability for losing malfunction and state cumulative probability calculation formula are respectively as follows:
PR(N1)=Ps(N1)·Pc(i)+[Ps(i)+Ps(N1)]·Pc(N1)
I=1 ..., N-1 (3)
AR(N1)=[AS(i)+Ps(N1)]·[Pc(N1)+Pc(i)]
I=1 ..., N-1 (4)
Output signal is that the state probability of miss fault state and state cumulative probability calculation formula are respectively as follows:
PR(N2)=Ps(N2)·Pc(i)+Ps(N2)·Pc(N1)+[Ps(i)+Ps(N1)+Ps(N2)]·Pc(N2)
I=1 ..., N-1 (5)
AR(N2)=1-Ps(N)
I=1 ..., N-1 (6)
Output signal is that the state probability of no signal malfunction and the calculation formula of state cumulative probability are respectively as follows:
PR(N)=Ps(N) (7)
AR(N)=1 (8).
The beneficial effects of the present invention are: the present invention simplifies GO method and analyzes work, and direct quantitative calculates the shape of output signalState probability and state cumulative probability, applied to multi-Fault State process system GO method fail-safe analysis work in can obviously reduce workIt measures.
The present invention is directed to have inputs the three kinds of status devices exported all the way all the way, initially sets up with an input signalWith the GO method operator of an output signal, determines the state of the operator and its input signal and output signal, then determineThe state probability and state cumulative probabilistic algorithm of operator operation rule and output signal different conditions.
Specific embodiment
The present invention is described in further detail with specific embodiment with reference to the accompanying drawings of the specification.
Fig. 1 shows the one kind provided in the specific embodiment of the invention and inputs the three condition equipment mould exported all the way all the wayThe flow chart of quasi- method, Fig. 2 shows the schematic diagram of three condition GO method operator, this method is specifically included that
Establish the GO method operator with an input signal and an output signal, in which:
The operator is used to simulate the three condition equipment for having an input signal and an output signal,
Input signal is S,
Output signal is R,
The state that setting input signal and output signal specifically include, the state specifically included are as follows:
Input signal and output signal all have four kinds of states: signal normal through success status, signal section losesLoss state, signal miss status, the no signal malfunction as caused by other equipment failure all lost,
The operation rule of setting operation symbol, embodies the state value of input signal and the state value of operator to output signalThe influence of state value,
The operation rule table specific as follows (table 1):
In table, VSState value, V for input signalCState value, V for operatorRFor the state value of output signal,
Signal success status is indicated with (1~N-1),
The no signal malfunction as caused by other equipment failure is indicated with N,
Use N1Indicate loss of signal malfunction,
Use N2Indicate signal deletion malfunction,
Operation rule includes:
When the state of operator is successfully, the state value of output signal is identical as input signal；Corresponding in tableSerial number 1,2,3,4；
When the state of operator is loss, if the state of input signal is successfully or to lose, the shape of output signalState is loss；Corresponding to the serial number 5 in table；If the state of input signal is missing or no signal failure, letter is exportedNumber state respectively correspond for missing or no signal failure；Corresponding to the serial number 6,7 in table；
When the state of operator is missing, if the state of input signal is no signal failure, the shape of output signalState is no signal failure；Corresponding to the serial number 9 in table；For remaining state of input signal, the state of output signal isMissing；Corresponding to the serial number 8 in table；
The three condition GO method operator exported all the way and its operation rule, setting operation are inputted all the way according to as described aboveThe state probability of symbol is Pc(i), i is the state value of operator, it may be assumed that i=1 ..., N-1, N1, N2；
State probability and state cumulative probabilistic algorithm under calculating output signal different conditions is as follows:
The state probability of input signal is Ps(i), state cumulative probability is AS(i), i is the state value of input signal, as beforeIt is described, i=1 ..., N, N1, N2；
The state probability of output signal is PR(i), state cumulative probability is AR(i), i is the state value of output signal, as beforeIt is described, i=1 ..., N, N1, N2；
Output signal is that the state probability of success status and state cumulative probability calculation formula are respectively as follows:
PR(i)=Ps(i)·Pc(i) i=1 ..., N-1 (1)
AR(i)=AS(i)·Pc(i) i=1 ..., N-1 (2)
Output signal is that the state probability for losing malfunction and state cumulative probability calculation formula are respectively as follows:
PR(N1)=Ps(N1)·Pc(i)+[Ps(i)+Ps(N1)]·Pc(N1)
I=1 ..., N-1 (3)
AR(N1)=[AS(i)+Ps(N1)]·[Pc(N1)+Pc(i)]
I=1 ..., N-1 (4)
Output signal is that the state probability of miss fault state and state cumulative probability calculation formula are respectively as follows:
PR(N2)=Ps(N2)·Pc(i)+Ps(N2)·Pc(N1)+[Ps(i)+Ps(N1)+Ps(N2)]·Pc(N2)
I=1 ..., N-1 (5)
AR(N2)=1-Ps(N)
I=1 ..., N-1 (6)
Output signal is that the state probability of no signal malfunction and the calculation formula of state cumulative probability are respectively as follows:
PR(N)=Ps(N) (7)
AR(N)=1 (8).
Based on the above technical solution, operator has following three kinds of states for analog machine:
Success status, representation signal normal through,
Loss state, representation signal partial loss,
Miss status, representation signal are all lost.
The embodiments given below are intended to further illustrate the invention, but is not to be construed as to the scope of the present inventionLimitation, content still falls within this to some nonessential modifications and adaptations of the invention to those skilled in the art according to the present inventionThe protection scope of invention.
Assuming that certain valve there are three state, can allow fluid normal through success status probability be Pc(1)=0.98, valveIt is P that the loss of signal probability of malfunction that leakage segment fluid flow passes through, which occurs,c(21)=0.01, valve occur what rupture passed through without fluidSignal deletion probability of malfunction is Pc(22)=0.01.The GO method operator model for being heated pipeline is as shown in Figure 2.
In GO method, 1~N-1 of state value indicates that a variety of success status, maximum value N indicate malfunction.Increase in the present inventionAdd various faults state, uses N1、N2、N3It indicates.There was only a kind of success status, i.e. state 1 in example, so malfunction is 2With 2x。
Assuming that input signal is there are four state, fluid normal through success status probability be Ps(1)=0.7, fluid is let outThe loss of signal probability of malfunction that leakage part passes through is Ps(21)=0.1, since the signal deletion that rupture passes through without fluid occurs for valveProbability of malfunction is Ps(22)=0.1, no signal malfunction P caused by other equipment failures(2)=0.1.
According to the operation rule of three condition equipment operation symbol and the state value and state probability of input signal and operatorValue, table 2 give the state value and state probability of output signal.
The sum of state probability that last in table arranges is 1, and the correctness that can be combined with proofing state illustrates that combinations of states does not haveThere are missing or repetition.According to the probability results statistics in table:
The probability of success status is 0.686,
The probability for losing malfunction is 0.106,
Miss fault shape probability of state is 0.108,
The probability of no signal malfunction caused by other equipment failure is 0.1.
The output signal estimation result for the three condition equipment simulating example that the input of 2 one tunnel of table exports all the way
According to state probability and state cumulative probabilistic algorithm, it is as follows to obtain result:
The state probability and state cumulative probability of success status are as follows:
PR(1)=Ps(1)·Pc(1)=0.7 × 0.98=0.686
AR(1)=AS(1)·Pc(1)=0.7 × 0.98=0.686
Lose the state probability and state cumulative probability of malfunction are as follows:
PR(21)=Ps(21)·Pc(1)+[Ps(i)+Ps(21)]·Pc(21)
=0.1 × 0.98+ (0.7+0.1) × 0.01
=0.106
AR(21)=[AS(1)+Ps(21)]·[Pc(1)+Pc(21)]
=(0.7+0.1) × (0.98+0.01)
=0.792
The state probability and cumulative probability of miss fault state are as follows:
PR(22)=Ps(22)·Pc(1)+Ps(22)·Pc(21)+[Ps(1)+Ps(21)+Ps(22)]·Pc(22)
=0.1 × 0.98+0.1 × 0.01+ (0.7+0.1+0.1) × 0.01
=0.108
AR(22)=1-Ps(2)
=1-0.1
=0.9
The state probability and cumulative probability of no signal malfunction caused by other equipment failure are as follows:
PR(2)=Ps(2)=0.1
AR(2)=1
According to result it is found that the combinations of states result of state probability and state cumulative probability is consistent with formula calculated result,Illustrate that the formula of state cumulative probability is correct.
Obviously, various changes and modifications can be made to the invention without departing from essence of the invention by those skilled in the artMind and range.In this way, if these modifications and changes of the present invention belongs to the range of the claims in the present invention and its equivalent technologyWithin, then the present invention is also intended to include these modifications and variations.