HUANGFU Lanlan， ZHAO Yifan， SU Hongsheng
（School of Automation and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China）
Abstract： To improve the operation and maintenance management level of large repairable components, such as electrical equipment, large nuclear power facilities, and high-speed electric multiple unit (EMU), and increase economic benefits, preventive maintenance has been widely used in industrial enterprises in recent years. Focusing on the problems of high maintenance costs and considerable failure hazards of EMU components in operation, we establish a state preventive maintenance model based on a stochastic differential equation. Firstly, a state degradation model of the repairable components is established in consideration of the degradation of the components and external random interference. Secondly, based on topology and martingale theory, the state degradation model is analyzed, and its simplex, stopping time, and martingale properties are proven. Finally, the monitoring data of the EMU components are taken as an example, analyzed and simulated to verify the effectiveness of the model.
Key words： preventive maintenance； stochastic differential equation； simplex； martingale； electric multiple unit components
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基于随机微分方程的动车组部件状态预防性模型研究
皇甫兰兰， 赵祎帆， 苏宏升
（兰州交通大学 自动化与电气工程学院， 甘肃 兰州 730070）
摘要:为了提高大型可修部件， 如电力设备、 大型核电设施、 高速动车组等的运行维护管理水平， 增加经济效益， 预防性维护近年来在工业企业中得到了广泛应用。 针对动车组部件运行过程中存在的维修成本高、 故障危害大等问题， 建立了一种基于随机微分方程的状态预防性维护模型。 首先， 考虑部件本身的退化和外界随机干扰两种因素， 建立了可修部件的状态退化模型。 其次， 基于拓扑知识和鞅理论， 对状态退化模型进行了分析， 证明了该模型的单纯形、 停时性和鞅性。 最后， 对动车组部件的监测数据进行了算例分析， 验证了该模型的有效性。
关键词:预防性维护； 随机微分方程； 单纯形； 鞅； 动车组部件
引用格式：HUANGFU Lanlan， ZHAO Yifan， SU Hongsheng． Preventive condition-based maintenance model of EMU components based on stochastic differential equation． Journal of Measurement Science and Instrumentation， 2022， 13（3）： 345-351. DOI： 10．3969／j．issn．1674-8042．2022．03．010
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