Quantitative method of dynamic fault tree analysis for imperfect coverage system

In order to efficiently perform reliability analysis for imperfect coverage system which contains standby units that make the dynamic fault tree analysis very complicated, a quantitative reliability analysis method applied to warm spare gate is proposed. The step function and impulse function are introduced to describe the dynamic failure characteristics of standby units. Then, considering the dynamic system with imperfect coverage, the paper deduces the formulas for calculating the reliability of warm spare gate. Finally, an airborne electronic device as an example illustrates the feasibility of the method by establishing system dynamic fault tree. Compared to the existing method without consideration of imperfect coverage, combined with system sensitivity analysis, the computational result of the proposed method is more rational and provides a novel foundation for further research on reliability quantitative analysis.