Reliability evaluation of radar power amplification system considering epistemic uncertainty
摘要: 高可靠性部件短时间内很难得到足够的性能数据,致使对部件退化规律的认知存在一定不确定性,无法准确估计系统的可靠性。为实现对系统可靠性准确估计,假定部件性能参数的分布参数为区间变量,建立了基于区间变量的部件性能参数分布模型,给出了部件状态概率的计算方法。对状态性能区间边界进行补偿,定义了区间通用生成函数及其运算法则,提出了考虑认知不确定性的多态系统可靠性评估方法,并对某型雷达功率放大分系统的可靠性进行分析。本文方法克服了性能参数分布信息缺少、无法准确建立状态性能参数分布模型的不足,具有很强的通用性和工程应用价值。Abstract: There is epistemic uncertainty in degradation law of a high-reliability component because it is hard to obtain its adequate performance data within a short time,and system reliability cannot be accurately estimated. For the purpose of accurate estimation of system reliability,assuming that the component performance distribution parameter was the interval variable,a component' performance parameter distribution model was built based on interval parameter variable and a computational method of the interval-valued state probability was provided. The boundary of the state performance interval was compensated,the interval-valued universal generating function and its algorithm were defined,an assessment method of interval-valued reliability of the multi-state system in consideration of epistemic uncertainty was proposed,and the reliability of a power amplification system was analyzed. This method not only avoids the lack of distribution information of the performance parameters,but also accurately builds a distribution model of the performance parameters. Therefore,it is widely used in engineering.
 LISNIANSKI A,LEVITIN G.Multi-state system reliability:Assessment,optimization and applications[M].Singapore:World Scientific,2003:1-2.  李春洋.基于多态系统理论的可靠性分析与优化设计方法研究[D].长沙:国防科学技术大学,2010: 1-5.LI C Y. Research on reliability analysis and optimization based on the multi-state system theory[D].Changsha:National University of Defense Technology,2010:1-5(in Chinese).  李春洋,陈循,易晓山,等.基于向量通用生成函数的多性能参数多态系统可靠性分析[J].兵工学报,2010,31(12):1604-1610.LI C Y,CHEN X,YI X S,et al. Reliability analysis of multi-state system with multiple performance parameters based on vector universal generating function[J].Acta Armamentarii,2010,31(12):1604-1610(in Chinese).  BARLOW R E,WU A S.Coherent systems with multi-state components[J].Mathematics of Operations Research,1978,3(4):275-281.  NATVIG B.Multi-state systems reliability theory with applications[M].New York:Wiley,2011:11-30.  LEVITIN G.The universal generating function in reliability analysis and optimization[M].London:Springer,2005:99-262.  刘宇.多状态复杂系统可靠性建模及维修决策[D].成都:电子科技大学,2011:48-100.LIU Y.Multi-state complex system reliability modeling and maintenance decision[D].Chengdu:University of Electronic Science and Technology of China,2011:48-100(in Chinese).  LI Y,ZIO E.A multi-state model for the reliability assessment of a distributed generation system via universal generating function[J].Reliability Engineering and System Safety,2012,106:28-36.  TABOADA H A,ESPIRITU J F,COIT D W.Design allocation of multi-state series-parallel systems for power systems planning:A multiple objective evolutionary approach[J].Journal of Reliability and Safety,2008,222(3):381-391.  史新红,齐先军,王治国.基于UGF的发电系统区间可靠性评估及其仿射算法改进[J].合肥工业大学学报(自然科学版),2014,37(3):286-291.SHI X H,QI X J,WANG Z G.Interval reliability estimation of power generating system based on UGF method and its modification by using affine arithmetic[J].Journal of Hefei University of Technology(Natural Science),2014,37(3):286-291(in Chinese).  尚彦龙,蔡琦,赵新文,等.基于UGF和Semi-Markov方法的反应堆泵机组多状态可靠性分析[J]. 核动力工程,2012,33(1):117-123.SHANG Y L,CAI Q,ZHAO X W,et al.Multi-state reliability for pump group in nuclear power system based on UGF and Semi-Markov process[J].Nuclear Power Engineering,2012,33(1):117-123(in Chinese).  DING Y,ZUO M J,LISNIANSKI A,et al.Fuzzy multi-state systems:General definitions,and performance assessment[J].IEEE Transactions on Reliability,2008,57(4):589-594.  DING Y,LISNIANSKI A.Fuzzy universal generating functions for multi-state system reliability assessment[J].Fuzzy Sets and Systems,2008,159(3):307-324.  LI C Y,CHEN X,YI X S. Interval-valued reliability analysis of multi-state systems[J].IEEE Transactions on Reliability,2011,60(1):323-330.  DESTERCKE S,SALLAK M. An extension of universal generating function in multi-state systems considering epistemic uncertainties[J].IEEE Transactions on Reliability,2013,62(2):504-514.  鄢民强,杨波,王展.不完全覆盖的模糊多状态系统可靠性计算方法[J].西安交通大学学报,2011,45(10):109-114.YAN M Q,YANG B,WANG Z.Reliability assessment for multi-state system subject to imperfect fault coverage[J].Journal of Xi'an Jiaotong University,2011,45(10):109-114(in Chinese).  LIU Y,HUANG H. Reliability assessment for fuzzy multi-state system[J].International Journal of Systems Science,2010,41(4):365-379.  陈东宁,姚成玉.基于模糊贝叶斯网络的多态系统可靠性分析及在液压系统中的应用[J].机械工程学报,2012,48(16):175-183.CHEN D N,YAO C Y. Reliability analysis of multi-state system based on fuzzy Bayesian networks and application in hydraulic system[J].Chinese Journal of Mechanical Engineering,2012,48(16): 175-183(in Chinese).  马德仲,周真,于晓洋,等.基于模糊概率的多状态贝叶斯网络可靠性分析[J].系统工程与电子技术,2012,34(12):2607-2611.MA D Z,ZHOU Z,YU X Y,et al.Reliability analysis of multi-state Bayesian networks based on fuzzy probability[J].Systems Engineering and Electronics,2012,34(12):2607-2611(in Chinese).  陈东宁,姚成玉,党振. 基于T-S模糊故障树和贝叶斯网络的多态液压系统可靠性分析[J].中国机械工程,2013,24(7):899-905.CHEN D N,YAO C Y,DANG Z.Reliability analysis of multi-state hydraulic system based on T-S fuzzy fault tree and Bayesian network[J]. China Mechanical Engineering,2013,24(7):899-905(in Chinese).  邱志平.非概率集合理论凸方法及其应用[M].北京:国防工业出版社,2005:30-43.QIU Z P.Convex method of non-probabilistic set-theory and its application[M].Beijing:National Defense Industry Press,2005:30-43(in Chinese).  高峰记.可能度及区间数综合排序[J].系统工程理论与实践,2013,33(8):2033-2040.GAO F J. Possibility degree and comprehensive priority of interval numbers[J].Systems Engineering-Theory and Practice,2013,33(8):2033-2040(in Chinese).
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