摘要
为解决传统的高速列车动力学性能多目标优化方法缺乏考虑设计指标之间的相互作用且主观性强、可解释性差、效率低等问题,提出一种基于博弈论的高速列车转向架动力学设计指标分解协调方法。首先,基于灵敏度分析结果建立7个动力学性能设计指标与13个转向架设计参数之间的分解映射,分析了动力学设计指标分解中的冲突关系并提取了冲突要素;然后,将互相冲突的动力学设计指标的分解协调转化为一个博弈过程,确定博弈中的决策结构,构建了博弈主体的效用函数并建立冲突性能的主从博弈协调模型;其次,设计一种基于遗传算法和二次规划联合的Nash均衡求解算法,以Nash均衡作为设计指标分解结果;最后,以高速列车稳定性和曲线通过性能的博弈协调为例验证了博弈协调模型与求解方法的可行性和有效性。研究结果表明:该方法不依赖于人工设置即可快速得到与高速列车实际设计参数相近的结果,并且在该结果下临界速度、脱轨系数、轮重减载率等指标均满足要求。引入博弈论进行动力学性能多目标优化不仅可获得直线稳定性和曲线通过安全性相对均衡的动力学性能,还减少了设计迭代次数,提高了设计效率,且所求取的是数学意义上的Nash均衡,极大地降低了主观性。研究成果可为高速列车悬挂系统设计和动力学性能协调优化提供参考。
In order to solve the problems of high subjectivity,poor interpretability,low efficiency,and lack of consideration of the interaction between design indicators inherent in the conventional multi-objective optimization method for the dynamic performance of high-speed trains,a decomposition and coordination method of high-speed train bogie dynamic design indicators based on game theory was proposed.First,the decomposition mapping between 7 design indicators of dynamic performance and 13 design parameters of the bogie was established based on the results of sensitivity analysis.The conflict relationship in the decomposition of dynamic design indicators was analyzed,and conflict elements were extracted.Then,the decomposition coordination of conflicting dynamic design indicators was transformed into a game process,determining the decision structure of the game,constructing utility functions of game players,and establishing a master-slave game coordination model of conflicting performance.Furthermore,a Nash equilibrium solution algorithm based on genetic algorithm and quadratic programming was designed,with the Nash equilibrium as the result of the decomposition of design indicators.Finally,by taking the game coordination of high-speed train stability and curve negotiation performance as an example,the feasibility and effectiveness of the game coordination model and solution method were verified.The results show that the method can quickly obtain the results similar to the actual design parameters of high-speed trains without relying on manual settings.The critical speed,derailment coefficient,wheel load reduction rate,and other indicators can satisfy the requirements under the results.By incorporating game theory into the multi-objective optimization of dynamic performance,it can be done to achieve not only a dynamic performance that is relatively balanced in terms of linear stability and curve passing safety but also a reduction in the number of design iterations and an improvement in design efficiency.What’s more,the Nash equilibrium in the mathematical sense is obtained,which greatly reduces subjectivity.The research results can provide a reference for the design of high-speed train suspension systems and the coordinated optimization of dynamic performance.
作者
饶坝
马术文
张海柱
黎荣
谷孙权
RAO Ba;MA Shuwen;ZHANG Haizhu;LI Rong;GU Sunquan(School of Mechanical Engineering,Southwest Jiaotong University,Chengdu 610031,China)
出处
《铁道科学与工程学报》
EI
CAS
CSCD
北大核心
2024年第4期1334-1344,共11页
Journal of Railway Science and Engineering
基金
国家自然科学基金资助项目(52105277)
四川省重点研发计划项目(2022YFG0252)。
关键词
高速列车
动力学
设计指标
分解协调
博弈论
high-speed train
dynamics
design indicators
decomposition-coordination
game theory
