A Failure Mechanism Cumulative Model for Reliability Evaluation of a k-Out-of-n System With Load Sharing Effect

Abstract

In this paper, we propose a failure mechanism cumulative model that considers the loading history of the load sharing effect in a k-out-of-n system. Three types of failure mechanisms are considered, continuous degradation, compound point degradation, and sudden failure due to shock. By constructing a logic diagram with functional dependence gate, the load-sharing effect can be explained from the failure mechanism point of view using a mechanism-acceleration gate that shows that when one component fails, the failure mechanisms of the other surviving components will be accelerated. By deriving the total damage equation and a constructing failure behavior model, the system reliability of a k-out-of-n system with different types of failure mechanisms were evaluated. A voltage stabilizing system that contains a 1-out-of-2 subsystem, or a 2-out-of 3 subsystem was used to illustrate the practical applicability of the proposed approach. A combined Monte Carlo and binary decision diagram method was used in the numerical simulation process. INDEX TERMS K-out-of-n system, load sharing effect, failure mechanism cumulative model, functional dependence, acceleration.

Seleção Da Tensão De Bloqueio Ótima De Igbts Para Inversores De Frequência Baseados Em Conversor Modular Multinível

“…As células redundantes são operadas no modo ativo ou no modo de espera. O modo ativo opera com ou sem o compartilhamento de carga [31]. Neste trabalho, será considerada a redundância ativa que opera sem o compartilhamento de carga.…”

“…Desta forma, quando um componente falha, a carga sobre os componentes funcionais restantes não é alterada. Portanto, a confiabilidade no nível de braço do MMC considerando a redundância ativa pode ser avaliada através do modelo k-out-of-n, fornecido por [31]:…”

“…Por sua vez, considerando a redundância no modo de espera, em que os SMs redundantes são inseridos no CMM apenas quando ocorre falha em algum SM operante, a confiabilidade pode ser modelada como um processo de Poisson homogêneo com uma taxa constante λ SM [31]. A confiabilidade no nível de braço do MMC é dada por [29]:…”

Reliability modeling for planetary gear transmission system considering dependent failure processes

“…k-out-of-n system with multiple components, the system remains normal when k parts work simultaneously; when the number of failed components exceeds n-k, the system will fail. [33][34] In literature, [35][36] the actuator of microelectro-mechanical systems (MEMS) is considered as a k-out-of-n system. Researchers have obtained the reliability of the MEMS actuator to determine the vulnerable components in the mechanism by testing actuator failure efficiency under shocks.…”

A Reliability Model of Micro-Engines Subject to Natural Degradation and Dependent Zoned Shocks

“…In this paper, the shock process is considered to contain fatal shocks that can cause hard failure immediately [26], damage shocks that can influence the micro-engine in two ways: (i) damaging the micro-engine by increasing the wear debris, and (ii) weakening the system strength by reducing the hard failure threshold, and safety shocks that have no effect on the micro-engine. After the micro-engine survives a damage shock, the decreased hard failure threshold makes the micro-engine more vulnerable to hard failure.…”