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Reliability approximate calculation method for large-scale multi-state series-parallel system

An approximate computing and multi-state technology, applied in computing, information technology support systems, complex mathematical operations, etc., can solve problems that cannot be tolerated by large-scale systems

Active Publication Date: 2018-08-28
ZHEJIANG UNIV
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  • Application Information

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Problems solved by technology

Since accurate calculation of system reliability often requires exponential computational complexity, this computational burden is unbearable for large-scale systems

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  • Reliability approximate calculation method for large-scale multi-state series-parallel system
  • Reliability approximate calculation method for large-scale multi-state series-parallel system
  • Reliability approximate calculation method for large-scale multi-state series-parallel system

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Embodiment Construction

[0065] The present invention is further described below in conjunction with embodiment and accompanying drawing as follows.

[0066] Embodiments of the present invention are as follows:

[0067] This embodiment takes a simplified power system as an example, the system structure tree of the system is as follows Figure 5 shown. The power system is divided into two parts: power generation system and power transmission system. The power generation system consists of 7 units connected in parallel, including 2 A-type units and 5 B-type units. The state distribution of each unit is shown in Table 1. The transmission line system consists of 3 identical transmission lines, each transmission line has a transmission capacity of 285kW during normal operation, and its failure probability is 0.03. In this embodiment, the continuous discrete approximation method is used to evaluate the reliability of the power system, and the approximate results are compared with the accurate results. I...

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Abstract

The invention discloses a reliability approximate calculation method for a large-scale multi-state series-parallel system. According to the multi-state series-parallel system, connection structures between any father node and all subordinate child nodes are divided into four classes, and then different modes are adopted to perform processing according to the four classes; state probability distribution of the father nodes on all layers is sequentially calculated progressively upwards from tail-end leaf nodes of a complete tree structure through the four classes; and finally state probability distribution of root-end father nodes of the whole multi-state series-parallel system can be obtained, and therefore the reliability of the multi-state series-parallel system is obtained. Through the method, reliability approximate calculation of the large-scale multi-state series-parallel system is realized, balance between calculation precision and calculation efficiency is realized, calculationcomplexity is improved to quadratic complexity from original exponential complexity of precise calculation, and calculation speed is greatly increased.

Description

technical field [0001] The invention relates to reliability evaluation of a multi-state series-parallel system, in particular to a reliability approximate calculation method for a large-scale multi-state series-parallel system. Background technique [0002] As a generalization of binary state systems, multi-state systems can describe complex systems in practical engineering in more detail. The series-parallel structure is the most common system structure, which is widely used in power systems, transmission systems and other fields. At the same time, the installation problems and backup design problems based on series-parallel systems are currently popular research directions. Therefore, the reliability evaluation of multi-state series-parallel systems plays an important role in practical engineering. [0003] With the development of industrial level, the scale of engineering system gradually expands. In a large-scale multi-state series-parallel system, the number of compon...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/20G06F17/17G06F17/18Y02E60/00Y04S40/20
Inventor 丁一林雨
Owner ZHEJIANG UNIV
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