[1]崔铁军,王重鑫,李莎莎.拓扑安全熵和熵梯度场的系统故障演化方向研究[J].智能系统学报,2026,21(3):776-782.[doi:10.11992/tis.202510010]
CUI Tiejun,WANG Chongxin,LI Shasha.System fault evolution direction based on topological safety entropy and an entropy gradient field[J].CAAI Transactions on Intelligent Systems,2026,21(3):776-782.[doi:10.11992/tis.202510010]
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CUI Tiejun,WANG Chongxin,LI Shasha.System fault evolution direction based on topological safety entropy and an entropy gradient field[J].CAAI Transactions on Intelligent Systems,2026,21(3):776-782.[doi:10.11992/tis.202510010]
拓扑安全熵和熵梯度场的系统故障演化方向研究
《智能系统学报》[ISSN 1673-4785/CN 23-1538/TP] 卷:
21
期数:
2026年第3期
页码:
776-782
栏目:
学术论文—人工智能基础
出版日期:
2026-05-05
- Title:
- System fault evolution direction based on topological safety entropy and an entropy gradient field
- Keywords:
- complex system; system fault; evolution; topological safety entropy; entropy gradient field; critical point identification; evolution direction; space fault network; fault prediction
- 分类号:
- TP181；X913
- 文献标志码:
- 2026-3-24
- 摘要:
- 针对复杂系统故障演化路径无序性量化和主导故障类型判定问题，提出一种基于拓扑安全熵与熵梯度场的系统故障演化方向分析模型。将系统抽象为节点–链接拓扑结构，通过节点故障率权重与拓扑占比计算拓扑安全熵，量化无序程度；求解拓扑熵空间梯度与演化参数熵梯度，基于梯度夹角判定故障演化的主导类型；结合Hessian矩阵识别系统拓扑失稳临界点，明确故障类型跃变阈值。给出了算法基本思想以及数学模型的推导过程。以风力发电机为实例验证，结果表明：系统拓扑安全熵(2.2577 bit)接近理论上限，反映系统处于高风险无序状态；演化方向角(30.9°)判定为电气元件失效趋向，与控制器高权重(0.6133)、高拓扑占比(0.2224)的结论一致；临界参数为振动频率55.4 Hz、温度174.2 ℃，并作为故障类型跃变的阈值；最后讨论了结果的物理意义。研究可为复杂系统故障预测与安全管控提供方法。
- Abstract:
- To quantify the disorder of fault evolution paths and determine the dominant fault types in complex systems, a system fault evolution direction analysis model based on topological safety entropy and an entropy gradient field is proposed. The system is abstracted as a node–link topological structure, and the topological safety entropy is calculated through node failure rate weights and topological proportions to quantify the degree of disorder. The topological entropy space gradient and evolutionary parameter entropy gradient are solved, and the dominant type of fault evolution is determined based on the gradient angle. By combining this solution with the Hessian matrix, the critical point of system topology instability is identified, and the threshold for fault type jump is clarified. The basic idea of the algorithm and the derivation process of the mathematical model are given. A wind turbine is taken as an example for verification. The results show that the system’s topological safety entropy (2.2577 bit) is near the theoretical upper limit, reflecting that the system is in a high-risk disordered state; the evolution direction angle (30.9°) tends to electrical component failure, which is consistent with the conclusions of the controller’s high weight (0.6133) and high topological proportion (0.2224); the critical parameters are a vibration frequency of 55.4 Hz and a temperature of 174.2 °C, which serve as the threshold for fault type jump. Finally, the physical meaning of the results is discussed. This research provides methods for fault prediction and safety management of complex systems.
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备注/Memo
收稿日期:2025-10-10。
基金项目:辽宁省科技计划联合计划(自然科学基金面上项目)(2025-MSLH-584)；辽宁省属本科高校基本科研业务费专项(LJ212410144051，LJ212410144032).
作者简介:崔铁军，教授，博士生导师，博士，博士后，北京大学访问学者，主要研究方向为系统安全学、智能理论、系统故障演化理论。获辽宁青年科技奖、辽宁省优秀科技工作者等；以第一完成人获省部级及学会科技进步奖一等奖2项、二等奖2项、三等奖5项。出版学术专著10部；主持和参与国家自然科学基金项目、国家重点研发计划项目等8项。获发明专利授权30项。E-mail：ctj.159@163.com。;王重鑫，硕士研究生，主要研究方向为安全科学与工程、风险评价。获全国大学生数字媒体科技作品及创意竞赛等国家级竞赛奖4项，省级竞赛奖20余项；获校级奖学金和省级优秀毕业生、三好学生等荣誉称号；以第一完成人完成大学生创新创业校级项目 1项。E-mail：3387747915@qq.com。;李莎莎，副教授，博士，博士后，清华大学访问学者；中国人工智能学会终身会员，国家自然科学基金项目评审专家，主要研究方向为系统可靠性、安全管理理论。获省部级科技进步奖10项；出版学术专著6部；主持和参与国家自然科学基金项目、国家重点研发计划项目等4项。获发明专利授权17项。E-mail：lsslntu@163.com。
通讯作者:崔铁军. E-mail：ctj.159@163.com
更新日期/Last Update:
1900-01-01