摘要
针对列车节能驾驶问题,以牵引变电站输出能量最小为目标,研究运行操纵策略。分析列车运行能量与功率流关系,结合实测数据和电路理论建立牵引链路非线性损耗模型。考虑线路限速、坡道和准点时间约束,构建节能最优控制模型。采用极大值原理进行分析,得出列车运行时间对应的伴随变量为恒定常数。在此基础上,设计一种满足列车正点运行条件的动态规划算法。选取实际运行线路,验证模型和算法的有效性。结果表明,变电站电能最小化模型会改变列车节能驾驶策略,在部分运行区段小功率电制动工况取代惰行工况以减小牵引链路损耗。相比轮周机械能最小化优化结果,电能最小化策略可节能约8%。
To address the train eco-driving problem, operation strategies that focus on minimizing the output energy from traction substations were studied. Firstly, based on the analysis of the relationship between train operation energy flow and power flow, the nonlinear power loss model of the traction chain was established by integrating measured operation data and the traction power system model. The energy saving optimal control problem was built with constrains of speed limitations, gradients and trip time. Then, the co-state of operation time was a constant value in the journey derived from the Pontryagin’s maximum principle, and a dynamic programming algorithm was designed subject to the punctuality requirements. Finally, case studies were conducted based on a real-world operation line to verify the proposed model and algorithm. The simulation results indicate that eco-driving strategies are changed by the proposed electrical energy minimization model, and coast regimes are replaced by the electrical low-power braking regimes in some operation sections to reduce the traction chain power loss. Compared with the mechanical energy minimization model, the proposed method can further reduce energy consumption about 8%.
作者
肖壮
冯晓云
王青元
孙鹏飞
黄德青
XIAO Zhuang;FENG Xiaoyun;WANG Qingyuan;SUN Pengfei;HUANG Deqing(School of Electrical Engineering,Southwest Jiaotong University,Chengdu 611756,China)
出处
《铁道学报》
EI
CAS
CSCD
北大核心
2022年第10期33-39,共7页
Journal of the China Railway Society
基金
国家自然科学基金(U1934221,62003283)
四川省科技厅重点研发项目(2020YFQ0057)。
关键词
城市轨道交通
牵引系统损耗
极大值原理
动态规划算法
urban rail transit
power loss of traction drive system
pontryagin’s maximum principle
dynamic programming
