理想冷贮备系统可靠度通用算法的研究

Research on Reliability General Formula of Ideal Stand-By Redundancy System

冷贮备系统是工业设计中常用的一种余度技术,但其系统可靠度却难以计算。应用概率论,推导出由N个相同单元组成的理想冷贮备系统可靠度的积分表达式,并在此基础上利用卷积定理、卷积的微分性质及拉普拉斯变换等知识,从理论上推导出一个便于运用的冷贮备系统可靠度的一般公式,为理想冷贮备系统的设计和计算提供依据,有助于解决组成系统元器件的故障密度函数比较复杂时的冷储备系统可靠性问题,这对余度技术的进一步研究具有参考意义。对于等价于理想冷贮备的系统,也可以参考该公式对其可靠性进行研究。

The stand-by redundancy system is one kind of redundancy technique widely used in industrial design. However, its system reliability is difficult to calculate. By means of probability theory, a kind of reliability integral formula of the ideal standby redundancy system composed of N same units were de- duced. Based on this, by means of convolution theorem, differential character of convolution and Laplace transform, the reliability general formula of the ideal stand-by redundancy system was deduced from the point of view of theory. The general formula is easy to use, it is helpful to solve reliability problems of stand-by redundancy system when failure-density functions of parts contained in the system are complicated. The research results have important reference meaning for redundancy technique study, and for sys- tems equal to stand-by redundancy system, this formula can also be used to perform research on its system reliability.