北斗卫星导航系统效能综合建模与分析研究

Research on modeling and analysis of BeiDou satellite navigation system effectiveness

针对卫星导航系统效能要素多样、作用关系复杂的特点,构建了基于质量特性视角的导航系统效能指标体系,研究提出一种综合考虑空间信号精度、卫星平均中断间隔时间、卫星在轨测试时间、运载火箭可靠性、星间逻辑关系等要素的导航系统效能集成分析方法.该方法采用广义随机Petri网构建导航单星可用性模型,考虑随机故障和耗损故障构建导航单星可靠性模型,采用应力-强度分析构建导航单星能力模型,综合星间逻辑关系并运用动态贝叶斯网络开展导航系统效能建模与分析.北斗卫星导航系统仿真算例验证了方法的有效性和可行性,并对其他卫星系统效能分析具有一定的参考价值.

For the multi-factors and complex relationship of navigation system effectiveness,an index system is established based on quality characteristic,and an integrated method of system effectiveness analysis is proposed,considering the mean time between outages,satellite in-orbit testing time,launch vehicle reliability,relationship of satellites as well as signal-in-space accuracy.The single navigation satellite availability is confirmed based on generalized stochastic Petri Nets,the multi parameters reliability is analyzed considering the random faults and wearout faults,the performances are modelled based on stressstrength analysis,and the navigation system effectiveness is presented based on dynamic Bayesian networks,considering relationship of each satellite.The method is verified by simulation of BeiDou satellite navigation system,and can be instructive for the system effectiveness study of others satellites.