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基于庞特里亚金极小值原理的混合动力拖拉机节能控制

Energy-saving Control of Hybrid Tractor Based on Pontryagin’s Minimum Principle

  • 摘要: 以某并联式柴电混合动力拖拉机为研究对象,分析其拓扑结构特点及工作特性,构建拖拉机旋耕、犁耕耦合动力学模型,以整机等效燃油消耗量最小为目标,电机功率和柴油机功率为控制变量、电池荷电状态为状态变量,建立基于庞特里亚金极小值原理的节能控制策略,基于Matlab仿真平台对该节能控制策略进行仿真试验。结果表明:与基于最佳经济性曲线的节能控制策略相比,所制定的基于庞特里亚金极小值原理节能控制策略能够合理控制柴油机和电机的运行状态,使柴油机、电机工作在高效率区,有效降低了拖拉机田间作业时的等效燃油消耗量。旋耕工况下,等效燃油消耗量降低10.44%;犁耕工况下,等效燃油消耗量降低11.20%。

     

    Abstract: A parallel diesel-electric hybrid tractor was taken as the research object. By analyzing the topological characteristics and working characteristics of hybrid tractors, the coupling dynamic model of tractor rotary tillage unit and ploughing unit was constructed. With the goal of minimizing the equivalent fuel consumption of the whole machine, the motor power and diesel engine power were the control variables, and the state of charge(SOC)of the battery was the state variable, and the energy-saving control strategy based on Pontryagin’s minimum principle(PMP)was established. Finally, the Matlab simulation platform was used to simulate the energy-saving control strategy based on the Pontryagin’s minimum principle for the two typical working conditions of the tractor. The control strategy based on the optimal economic curve was used as a comparison strategy to verify the control effect based on the Pontryagin’s minimum principle. The analysis and comparison of the results of these two control strategies showed that: under rotary tillage conditions, the SOC value based on the optimal economic curve control strategy was decreased rapidly, while the SOC value based on the PMP control strategy was decreased slowly. Under the ploughing condition, the SOC value based on the optimal economic curve control strategy was both increased and decreased by a large margin, while the SOC value based on the PMP control strategy was only decreased. It was shown that the energy management strategy based on the Pontriagin minimum principle can reasonably control the operating state of diesel engine and motor, so that diesel engine and motor work in high-efficiency areas. It effectively reduced the equivalent fuel consumption of tractors in the field. Under rotary tillage, the equivalent fuel consumption was reduced by 10.44%; under the ploughing condition, the equivalent fuel consumption was reduced by 11.20%.

     

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