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Value resolving method of fault correlation voting system reliability mathematic model

A voting system and mathematical model technology, applied in general control systems, control/regulation systems, simulators, etc., can solve the problems of slow calculation speed and low accuracy of simulation calculation, and achieve the effect of improving calculation speed and accuracy

Active Publication Date: 2016-02-17
BEIHANG UNIV
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Problems solved by technology

This results in lower accuracy of simulation solution and slower calculation speed

Method used

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  • Value resolving method of fault correlation voting system reliability mathematic model
  • Value resolving method of fault correlation voting system reliability mathematic model
  • Value resolving method of fault correlation voting system reliability mathematic model

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Embodiment

[0075] Take a cooling system as an example. The cooling system consists of three identical cooling devices. The three cooling devices share the total load of the system and obey the principle of load sharing. As long as one cooling device is functioning properly, the system will function normally.

[0076] All units obey the exponential distribution, failure rate λ = 0.0001, calculate the reliability of the system when the time t = 1500h.

[0077] According to the numerical solution method of the reliability mathematical model of the fault-related voting system of the present invention, its steps are as follows:

[0078] Step 1, obtaining the reliability mathematical model of the fault-related voting system;

[0079] The reliability formula of the system is:

[0080] R = 3 ! 1 ...

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Abstract

The invention discloses a value resolving method of a fault correlation voting system reliability mathematic model. The method comprises the following steps: step one, obtaining the fault correlation voting system reliability mathematic model; step two, simplifying a reliability formula; step three, performing elimination on equivalent time; step four, arranging multiple integrals in the reliability formula into repeated integrals; and step five, applying a pseudo fixed value Gauss method to the multiple integrals in the reliability formula to obtain resolutions of the multiple integrals, and finally substituting the resolutions into the reliability formula to obtain fault correlation voting system reliability. The method provided by the invention is applied to a fault correlation voting system comprising random distribution forms of non exponent distribution and expands the application scope of an analytic method. The method starts from a value resolving method, does not require vast data for simulation, and can effectively improve the calculation speed and precision.

Description

technical field [0001] The invention relates to a method for solving a reliability mathematical model of a fault-related voting system based on a pseudo-fixed value Gaussian method, and belongs to the technical field of reliability. Background technique [0002] In general, the mathematical model of reliability of fault-related systems contains the problem of solving integral terms. Since the equation contains complex integral terms, it is very difficult to just find the original function of the integrand in the integral term. In the simplest case (a fault-related system composed of two identical fault-related units ), it is also a very laborious thing to calculate by the ordinary integral method. Therefore, the conventional method of finding the original function for integral solution is not applicable. At the same time, the formula contains several integrals, which are determined by the system structure. The integral area of ​​each integral is a general area, that is, ex...

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Application Information

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IPC IPC(8): G05B17/02
CPCG05B17/02
Inventor 赵广燕蔡茗茜孙宇锋胡薇薇杜康
Owner BEIHANG UNIV
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