CN108334050B - Method and device for calculating availability of redundant incomplete maintainable system - Google Patents
Method and device for calculating availability of redundant incomplete maintainable system Download PDFInfo
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- G05B23/00—Testing or monitoring of control systems or parts thereof
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Abstract
The invention discloses a method and a device for calculating the availability of a redundant incomplete maintainable system. Wherein, the method comprises the following steps: defining various states in an automatic control system, wherein the various states include: all normal, partial normal and all faults; calculating the probability of conversion among various states in the automatic control system according to the failure rate and the maintenance rate which are obtained in advance; and calculating the probability of conversion among various states according to preset calculation conditions to obtain the availability of the redundant incomplete maintainable system. The invention solves the technical problem that the availability ratio of the redundant incomplete maintainable system of the system is difficult to calculate due to the lack of a calculation method of the availability ratio of the redundant incomplete maintainable system in the prior art.
Description
Technical Field
The invention relates to the technical field of automatic control, in particular to a method and a device for calculating the availability of a redundant incomplete maintainable system.
Background
At present, an automatic control system is widely applied to a plurality of important fields such as petroleum, natural gas, chemical engineering, fire fighting and the like. The availability of the system directly affects the construction difficulty of the engineering site, the engineering progress and the economic benefit of users. Therefore, in order to increase the availability of the system, a technical solution of system redundancy configuration is generally adopted. The system can realize automatic fault switching under the redundant configuration, and can also realize the replacement or maintenance of a fault module. Therefore, the availability ratio of the system is greatly improved, and the Mean Time To Failure (MTTF for short) is prolonged. The high availability system reduces the construction difficulty for field engineering personnel, reduces unnecessary parking, ensures the engineering progress and ensures the economic benefit of users.
At present, although there are many documents relating to a method for calculating the availability of a system, there is no document relating to a method for calculating the availability of a redundant incompletely repairable system.
In view of the above-mentioned problem of difficulty in calculating the availability of the redundant incomplete maintainable system due to the lack of a method for calculating the availability of the redundant incomplete maintainable system in the prior art, no effective solution has been proposed at present.
Disclosure of Invention
The embodiment of the invention provides a method and a device for calculating the availability of a redundant incomplete maintainable system, which at least solve the technical problem that the availability of the redundant incomplete maintainable system is difficult to calculate due to the lack of a method for calculating the availability of the redundant incomplete maintainable system in the prior art.
According to an aspect of the embodiments of the present invention, there is provided a method for calculating the availability of a redundant incomplete repairable system, including: defining various states in an automatic control system, wherein the various states include: all normal, partial normal and all faults; calculating the probability of conversion among various states in the automatic control system according to the failure rate and the maintenance rate which are obtained in advance; and calculating the probability of conversion among various states according to preset calculation conditions to obtain the availability of the redundant incomplete maintainable system.
Optionally, defining various states in the automatic control system includes: dividing all normal states and part normal states in various states into usable states; all faults in the various states are classified as unavailable.
Further, optionally, calculating the probability of transition between various states according to a preset calculation condition, and obtaining the availability of the redundant incomplete maintainable system includes: removing matrix rows and columns corresponding to all faults in various states according to the state transition matrix corresponding to the probability to obtain a cut matrix; subtracting the truncation matrix from the identity matrix to obtain a matrix N; calculating an inverse matrix of the matrix N to obtain an inverse matrix N-1; and calculating the average time before failure in the automatic control system according to the inverse matrix, and obtaining the availability of the redundant incomplete maintainable system according to the average time before failure.
Optionally, calculating an average time before failure in the automatic control system according to the inverse matrix, and obtaining the availability of the redundant incomplete repairable system according to the average time before failure includes: extracting the sum of elements in the first row in the inverse matrix N-1 to obtain the average time before failure; deriving redundant incomplete serviceable system availability as a function of mean time to failure comprises:
where A is the redundant incomplete serviceable system availability and MTTR is the average time to recovery.
According to another aspect of the embodiments of the present invention, there is provided a computing apparatus for redundancy incomplete repairable system availability, including: a definition module for defining various states in the automatic control system, wherein the various states include: all normal, partial normal and all faults; the first calculation module is used for calculating the probability of conversion among various states in the automatic control system according to the failure rate and the maintenance rate which are acquired in advance; and the second calculation module is used for calculating the probability of conversion among various states according to preset calculation conditions to obtain the availability of the redundant incomplete maintainable system.
Optionally, the defining module includes: a first classification unit for classifying all normal and part normal of various states into usable states; and the second classification unit is used for classifying all faults in various states into unavailable states.
Further, optionally, the second calculation module comprises: the second calculation unit is used for removing matrix rows and columns corresponding to all faults in various states according to the state transition matrix corresponding to the probability to obtain a cut matrix; the third calculation unit is used for subtracting the truncation matrix from the identity matrix to obtain a matrix N; a fourth calculating unit, configured to calculate an inverse matrix of the matrix N to obtain an inverse matrix N-1(ii) a And the fifth calculation unit is used for calculating the average time before failure in the automatic control system according to the inverse matrix and obtaining the availability of the redundant incomplete maintainable system according to the average time before failure.
Optionally, the fifth calculating unit includes: an extraction subunit for extracting the inverse matrix N-1The sum of the elements in the first row in the tree is used for obtaining the average time before failure; the calculating subunit is used for obtaining the availability of the redundant incomplete maintainable system according to the average time before failure, and comprises the following steps:
where A is the redundant incomplete serviceable system availability and MTTR is the average time to recovery.
According to another aspect of the embodiment of the present invention, there is further provided a storage medium, where the storage medium includes a stored program, and when the program runs, the apparatus where the storage medium is located is controlled to execute the above calculation method for the availability of the redundant incomplete repairable system.
According to another aspect of the embodiments of the present invention, there is also provided a processor, configured to execute a program, where the program executes the method for calculating the availability of the redundant incomplete repairable system.
In the embodiment of the invention, a Markov model is adopted for analysis, and various states in an automatic control system are defined, wherein the various states comprise: all normal, partial normal and all faults; calculating the probability of conversion among various states in the automatic control system according to the failure rate and the maintenance rate which are obtained in advance; the method comprises the steps of calculating the probability of conversion among various states according to preset calculation conditions to obtain the availability ratio of the redundant incomplete maintainable system, achieving the purposes of simple, visual and quick calculation method, achieving the technical effect of calculating the availability ratio of the redundant incomplete maintainable system of the system, and further solving the technical problem that the availability ratio of the redundant incomplete maintainable system of the system is difficult to calculate due to the fact that the prior art lacks a calculation method of the availability ratio of the redundant incomplete maintainable system.
Drawings
The accompanying drawings, which are included to provide a further understanding of the invention and are incorporated in and constitute a part of this application, illustrate embodiment(s) of the invention and together with the description serve to explain the invention without limiting the invention. In the drawings:
FIG. 1 is a flow chart illustrating a method for calculating availability of redundant incomplete repairable systems according to an embodiment of the present invention;
FIG. 2 is a schematic structural diagram of a system with 2 redundancies in a method for calculating availability of redundant incomplete repairable systems according to an embodiment of the present invention;
FIG. 3 is a block diagram illustrating a state transition in a method for calculating availability of redundant incomplete repairable systems according to an embodiment of the present invention;
FIG. 4 is a block diagram of a computing device with redundant incomplete repairable system availability, according to an embodiment of the invention.
Detailed Description
In order to make the technical solutions of the present invention better understood, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
It should be noted that the terms "first," "second," and the like in the description and claims of the present invention and in the drawings described above are used for distinguishing between similar elements and not necessarily for describing a particular sequential or chronological order. It is to be understood that the data so used is interchangeable under appropriate circumstances such that the embodiments of the invention described herein are capable of operation in sequences other than those illustrated or described herein. Furthermore, the terms "comprises," "comprising," and "having," and any variations thereof, are intended to cover a non-exclusive inclusion, such that a process, method, system, article, or apparatus that comprises a list of steps or elements is not necessarily limited to those steps or elements expressly listed, but may include other steps or elements not expressly listed or inherent to such process, method, article, or apparatus.
The technical terms related to the present application are:
mean time to failure: mean Time To Failure, MTTF for short;
average time to recovery: mean time to restore, MTTR for short.
Example one
In accordance with an embodiment of the present invention, there is provided an embodiment of a method for calculating availability of redundant incomplete repairable systems, wherein the steps illustrated in the flowchart of the figure may be performed in a computer system, such as a set of computer executable instructions, and wherein, although a logical order is illustrated in the flowchart, in some cases, the steps illustrated or described may be performed in an order different than that illustrated herein.
FIG. 1 is a flow chart illustrating a method for calculating availability of a redundant incomplete repairable system according to an embodiment of the present invention, as shown in FIG. 1, the method includes the following steps:
step S102, defining various states in the automatic control system, wherein the various states comprise: all normal, partial normal and all faults;
step S104, calculating the conversion probability among various states in the automatic control system according to the failure rate and the maintenance rate which are acquired in advance;
and step S106, calculating the probability of conversion among various states according to preset calculation conditions to obtain the availability of the redundant incomplete maintainable system.
In the embodiment of the invention, a Markov model is adopted for analysis, and various states in an automatic control system are defined, wherein the various states comprise: all normal, partial normal and all faults; calculating the probability of conversion among various states in the automatic control system according to the failure rate and the maintenance rate which are obtained in advance; the method comprises the steps of calculating the probability of conversion among various states according to preset calculation conditions to obtain the availability ratio of the redundant incomplete maintainable system, achieving the purposes of simple, visual and quick calculation method, achieving the technical effect of calculating the availability ratio of the redundant incomplete maintainable system of the system, and further solving the technical problem that the availability ratio of the redundant incomplete maintainable system of the system is difficult to calculate due to the fact that the prior art lacks a calculation method of the availability ratio of the redundant incomplete maintainable system.
Specifically, the method for calculating the availability of the redundant incomplete maintainable system provided by the present application is described by taking the method applicable to a 2-redundant system as an example, and specifically includes the following steps:
optionally, defining various states in the automatic control system includes: dividing all normal states and part normal states in various states into usable states; all faults in the various states are classified as unavailable.
Optionally, calculating the probability of transition between various states in the automatic control system according to the pre-obtained failure rate and maintenance rate includes: and calculating the probability of conversion between corresponding states according to the failure rate and the maintenance rate.
Here, the various states include: all normal, partial normal, and all faults are illustrated as examples, wherein the probability of a transition between all normal, partial normal, and all faults is calculated in a 2-redundant system based on failure rate and maintenance rate, wherein the probability comprises:
p is probability which is n-order state transition matrix; λ is failure rate; μ is the repair rate and P is used to represent the probability of transitioning from full normal, partial normal, and full fault.
Further, optionally, calculating the probability of transition between various states according to a preset calculation condition, and obtaining the availability of the redundant incomplete maintainable system includes: removing matrix rows and columns corresponding to all faults in various states according to the state transition matrix corresponding to the probability to obtain a cut matrix; subtracting the truncation matrix from the identity matrix to obtain a matrix N; calculating an inverse matrix of the matrix N to obtain an inverse matrix N-1(ii) a And calculating the average time before failure in the automatic control system according to the inverse matrix, and obtaining the availability of the redundant incomplete maintainable system according to the average time before failure.
Optionally, the truncation matrix includes:
further, optionally, a matrix N is obtained according to a mathematical relationship between the identity matrix and the truncation matrix, where the matrix N includes:
optionally, calculating the inverse matrix of the matrix N to obtainTo the inverse matrix N-1(ii) a Wherein, the inverse matrix N-1The method comprises the following steps:
further, optionally, calculating the average time before failure in the automatic control system according to the inverse matrix, and obtaining the available rate of the redundant incomplete maintainable system according to the average time before failure,
the mean time to failure includes:
redundant incomplete serviceable system availability includes:
where A is the redundant incomplete serviceable system availability and MTTR is the average time to recovery.
To sum up, the method for calculating the availability of the redundant incomplete maintainable system provided by the embodiment of the present application is specifically as follows:
first, various states of the automatic control system are defined, including states of normal operation, partial failure, and total failure. It is clear which are available and which are not.
For the 2-redundancy system, as shown in fig. 2, fig. 2 is a schematic structural diagram of the 2-redundancy system in the method for calculating the availability of the redundant incomplete repairable system according to the embodiment of the present invention, and as long as one unit works normally, the system can work normally as a whole. Thus, three states may be defined:
state 0: all 2 units are normal;
state 1: 1 unit fails, one unit is normal;
state 2: both units fail.
Where state 2 is the unavailable state and states 0 and 1 are the available states. Since the system exists in an absorption state (state 2), the system is not fully serviceable. Specifically, as shown in fig. 3, fig. 3 is a schematic structural diagram of state transition in a method for calculating availability of a redundant incomplete repairable system according to an embodiment of the present invention.
Then, the probability of conversion among all states of the system is calculated according to the failure rate and the maintenance rate, and an n-order state transition matrix P is obtained.
The truncated matrix Q is obtained by removing the rows and columns of the absorption state (state 2):
and subtracting the truncation matrix Q from the identity matrix I to obtain a matrix N:
at this time, the inverse matrix N of N is obtained-1：
N-1Row 1 of the matrix represents the total time increment from state 0 and row 2 represents the total time increment from state 1. Normally, the system initial state is state 0, i.e. both units are normal. The MTTF of the system is the sum of the elements of row 1. Further MTTF was obtained as follows:
wherein, the availability ratio A is expressed as follows:
according to the calculation method for the availability ratio of the redundant incomplete maintainable system, the availability ratio of the redundant incomplete maintainable system can be obtained through the steps, and the calculation method is simple, visual and rapid.
It should be noted that, the method for calculating the availability of the redundant incomplete maintainable system provided in the present application is only described with the redundant system 2 as a preferred example, so as to implement the method for calculating the availability of the redundant incomplete maintainable system provided in the present application, and is not limited in particular.
Example two
According to another aspect of the embodiments of the present invention, there is further provided a computing apparatus of redundant incomplete repairable system availability, fig. 4 is a schematic structural diagram of the computing apparatus of redundant incomplete repairable system availability according to the embodiments of the present invention, as shown in fig. 4, the computing apparatus includes:
a definition module 42 for defining various states in the automatic control system, wherein the various states include: all normal, partial normal and all faults; a first calculation module 44, configured to calculate probabilities of transitions between various states in the automatic control system according to pre-obtained failure rates and maintenance rates; and a second calculating module 46, configured to calculate probabilities of transitions between various states according to preset calculating conditions, so as to obtain an availability of the redundant incomplete maintainable system.
In the embodiment of the invention, a Markov model is adopted for analysis, and various states in an automatic control system are defined, wherein the various states comprise: all normal, partial normal and all faults; calculating the probability of conversion among various states in the automatic control system according to the failure rate and the maintenance rate which are obtained in advance; the method comprises the steps of calculating the probability of conversion among various states according to preset calculation conditions to obtain the availability ratio of the redundant incomplete maintainable system, achieving the purposes of simple, visual and quick calculation method, achieving the technical effect of calculating the availability ratio of the redundant incomplete maintainable system of the system, and further solving the technical problem that the availability ratio of the redundant incomplete maintainable system of the system is difficult to calculate due to the fact that the prior art lacks a calculation method of the availability ratio of the redundant incomplete maintainable system.
Optionally, the defining module 42 includes: a first classification unit for classifying all normal and part normal of various states into usable states; and the second classification unit is used for classifying all faults in various states into unavailable states.
Further, optionally, the second calculation module 46 includes: the second calculation unit is used for removing matrix rows and columns corresponding to all faults in various states according to the state transition matrix corresponding to the probability to obtain a cut matrix; the third calculation unit is used for subtracting the truncation matrix from the identity matrix to obtain a matrix N; a fourth calculating unit, configured to calculate an inverse matrix of the matrix N to obtain an inverse matrix N-1(ii) a And the fifth calculation unit is used for calculating the average time before failure in the automatic control system according to the inverse matrix and obtaining the availability of the redundant incomplete maintainable system according to the average time before failure.
Optionally, the fifth calculating unit includes: an extraction subunit for extracting the inverse matrix N-1The sum of the elements in the first row in the tree is used for obtaining the average time before failure; the calculating subunit is used for obtaining the availability of the redundant incomplete maintainable system according to the average time before failure, and comprises the following steps:
where A is the redundant incomplete serviceable system availability and MTTR is the average time to recovery.
EXAMPLE III
According to another aspect of the embodiments of the present invention, there is further provided a storage medium, where the storage medium includes a stored program, and when the program runs, the apparatus where the storage medium is located is controlled to perform the method for calculating the availability of the redundant incomplete repairable system in the first embodiment.
Example four
According to another aspect of the embodiments of the present invention, there is further provided a processor, configured to execute a program, where the program executes a method for calculating the availability of the redundant incomplete repairable system in the first embodiment.
The above-mentioned serial numbers of the embodiments of the present invention are merely for description and do not represent the merits of the embodiments.
In the above embodiments of the present invention, the descriptions of the respective embodiments have respective emphasis, and for parts that are not described in detail in a certain embodiment, reference may be made to related descriptions of other embodiments.
In the embodiments provided in the present application, it should be understood that the disclosed technology can be implemented in other ways. The above-described embodiments of the apparatus are merely illustrative, and for example, the division of the units may be a logical division, and in actual implementation, there may be another division, for example, multiple units or components may be combined or integrated into another system, or some features may be omitted, or not executed. In addition, the shown or discussed mutual coupling or direct coupling or communication connection may be an indirect coupling or communication connection through some interfaces, units or modules, and may be in an electrical or other form.
The units described as separate parts may or may not be physically separate, and parts displayed as units may or may not be physical units, may be located in one place, or may be distributed on a plurality of units. Some or all of the units can be selected according to actual needs to achieve the purpose of the solution of the embodiment.
In addition, functional units in the embodiments of the present invention may be integrated into one processing unit, or each unit may exist alone physically, or two or more units are integrated into one unit. The integrated unit can be realized in a form of hardware, and can also be realized in a form of a software functional unit.
The integrated unit, if implemented in the form of a software functional unit and sold or used as a stand-alone product, may be stored in a computer readable storage medium. Based on such understanding, the technical solution of the present invention may be embodied in the form of a software product, which is stored in a storage medium and includes instructions for causing a computer device (which may be a personal computer, a server, or a network device) to execute all or part of the steps of the method according to the embodiments of the present invention. And the aforementioned storage medium includes: a U-disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), a removable hard disk, a magnetic or optical disk, and other various media capable of storing program codes.
The foregoing is only a preferred embodiment of the present invention, and it should be noted that, for those skilled in the art, various modifications and decorations can be made without departing from the principle of the present invention, and these modifications and decorations should also be regarded as the protection scope of the present invention.
Claims (6)
1. A method for calculating the availability of a redundant incomplete maintainable system, comprising:
defining various states in an automatic control system, wherein the various states include: all normal, partial normal and all faults;
calculating the probability of conversion among the various states in the automatic control system according to the failure rate and the maintenance rate which are acquired in advance;
calculating the probability of conversion among the various states according to a preset calculation condition to obtain the availability ratio of the redundant incomplete maintainable system;
wherein the calculating the probability of the transition between the various states according to a preset calculation condition to obtain the availability of the redundant incomplete maintainable system comprises: removing matrix rows and columns corresponding to all faults in the various states according to the state transition matrix corresponding to the probability to obtain a cut matrix; by subtraction of the identity matrixCutting the matrix to obtain a matrix N; calculating an inverse matrix of the matrix N to obtain the inverse matrix N-1(ii) a And calculating the average time before failure in the automatic control system according to the inverse matrix, and obtaining the availability of the redundant incomplete maintainable system according to the average time before failure.
2. The method of calculating the availability of redundant incomplete repairable systems according to claim 1, wherein the defining the various states in the automatic control system comprises:
dividing all normal and part normal in the various states into usable states;
all faults in the various states are classified as unavailable states.
3. The method of claim 1, wherein the calculating a mean time to failure in the automatic control system according to the inverse matrix and obtaining the availability of the redundant incomplete repairable system according to the mean time to failure comprises:
extracting the inverse matrix N-1The sum of the elements of the first row in (c) to obtain the mean time to failure;
obtaining the availability of the redundant incomplete repairable system according to the mean time to failure comprises:
wherein A is the redundant incomplete repairable system availability and MTTR is the average time to recovery.
4. A computing device for redundant incomplete repairable system availability, comprising:
a definition module for defining various states in an automatic control system, wherein the various states include: all normal, partial normal and all faults;
the first calculation module is used for calculating the probability of conversion among various states in the automatic control system according to the failure rate and the maintenance rate which are acquired in advance;
the second calculation module is used for calculating the probability of conversion among the various states according to preset calculation conditions to obtain the availability of the redundant incomplete maintainable system;
wherein the second computing module comprises: the second calculation unit is used for removing matrix rows and columns corresponding to all faults in the various states according to the state transition matrix corresponding to the probability to obtain a cut matrix; the third calculation unit is used for subtracting the truncation matrix from the identity matrix to obtain a matrix N; a fourth calculating unit, configured to calculate an inverse matrix of the matrix N to obtain the inverse matrix N-1(ii) a And the fifth calculation unit is used for calculating the average time before failure in the automatic control system according to the inverse matrix and obtaining the availability of the redundant incomplete maintainable system according to the average time before failure.
5. The apparatus for calculating the availability of redundant incomplete repairable systems according to claim 4, wherein the definition module comprises:
a first classification unit for classifying all normal and part normal of the various states into usable states;
a second classification unit for classifying all faults in the various states into unavailable states.
6. The apparatus for calculating the availability of redundant incomplete repairable systems according to claim 4, wherein the fifth calculation unit comprises:
an extraction subunit for extracting the inverse matrix N-1The sum of the elements of the first row in (c) to obtain the mean time to failure;
a computing subunit, configured to obtain the availability of the redundant incomplete repairable system according to the mean time before failure, including:
wherein A is the redundant incomplete repairable system availability and MTTR is the average time to recovery.
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