%0 Journal Article %T HXD2牵引货运列车长大下坡区间周期性制动研究<br>Periodic Braking of Freight Trains with HXD2 Locomotive on Long Heavy Down Grade %A 林轩 %A 王青元 %A 刘强强 %A 冯晓云< %A br> %A LIN Xuan %A WANG Qingyuan %A LIU Qiangqiang %A FENG Xiaoyun %J 西南交通大学学报 %D 2017 %R 10.3969/j.issn.0258-2724.2017.05.004 %X 针对货运列车在长大下坡道空气制动无法恒速且相邻两次空气制动之间需满足缓解再充风约束的特点,以司机实际操纵中普遍采用的50kPa小减压量调速制动为依据,根据列车牵引计算原理和能耗分析方法,建立了考虑再生制动能量利用的货运列车最优控制模型.首先,研究了货运列车在长大下坡道上的最优操纵策略和站间各子区间运行时间分配;其次,基于极大值原理分析了"全电制-全制-全电制"周期性制动控制策略的最优性,以及列车入坡、出坡应满足的必要条件,提出长大下坡道及其相邻区间列车运行最优控制的数值求解算法;最后,以HXD2型电力机车牵引100节C80重车为例,对提出的列车最优控制模型和数值算法进行仿真验证,并分别与模糊预测控制和实测数据进行比较,研究结果表明:在准点的前提下,所采用的周期性制动策略能实现5.6%和17.9%节能效果.<br>:An optimal control model of freight train operation, with focus on the regenerative braking energy, was established, based on the fundamental principles of railway traction and energy consumption analysis. The model was specifically developed for the following conditions(1) the train travels along the track in the long steep downhill section at a non-constant speed while the air brake is applied. (2) The air recharging time should be guaranteed between two successive braking operations. The model was developed based on a pressure reduction of 50 kPa, which is a typical condition during braking. The optimal control strategies were studied for the case where the train travels along the track in the long steep downhill section. The time allocation for each sub-section between two stations was also studied. The optimality of the periodic braking strategy (full electrical braking-full braking-full electrical braking) was analysed using Pontryagin's maximum principle. The necessary conditions were also analysed for the case where the train enters and then leaves the long steep downhill section. The numerical algorithm used for optimal control of the train travelling along the track in the long steep downhill section and its adjacent section was presented in detail. The proposed model and numerical algorithm were verified by performing simulations of an HXD2 locomotive with 100 fully loaded cars. The simulation results were compared with those of the fuzzy predictive control and field test data. Based on the condition that the train is punctual, it is found that the energy consumption during train operation can be reduced by up to 5.6% and 17.9% with respect to the fuzzy predictive control and field test data, respectively %K 货运列车 %K 极大值原理 %K 周期性制动 %K 控制策略 %K 数值算法 %K < %K br> %K freight train %K maximum principle %K periodic braking %K control strategy %K numerical algorithm %U http://manu19.magtech.com.cn/Jweb_xnjd/CN/abstract/abstract12477.shtml