Fuel economy evaluation of fuel cell hybrid vehicles based on optimal control

The fuel economy of a fuel cell hybrid vehicle (FCHV) depends on its power management strategy because the strategy determines the power split between the power sources. Several types of power management strategies have been developed to improve the fuel economy of FCHVs. This paper proposes an optimal control scheme based on the Minimum Principle. This optimal control provides the necessary optimality conditions that minimize the fuel consumption and optimize the power distribution between the fuel cell system (FCS) and the battery during driving. In this optimal control, the final battery state of charge (SOC) and the fuel consumption have an approximately proportional relationship. This relationship is expressed by a linear line, and this line is defined as the optimal line in this research. The optimal lines for different vehicle masses and different driving cycles are obtained and compared. This research presents a new method of fuel economy evaluation. The fuel economy of other power management strategies can be evaluated based on the optimal lines. A rule-based power management strategy is introduced, and its fuel economy is evaluated by the optimal line.     

Fuel consumption of fuel cell hybrid vehicles considering battery SOC differences

Fuel cell hybrid vehicles (FCHVs) have become one of the most promising candidates for future transportation due to current energy supply problem and environmental problem. Fuel economy is an important factor in FCHVs. In order to properly evaluate the fuel economy of an FCHV, the initial battery state of charge (SOC) and the final battery SOC have to be identical so that the effect of the battery energy usage on the fuel economy is neglected. In the simulation or in the real driving, however, the final battery SOC is usually different from the initial battery SOC, and the final battery SOC often depends on the power management strategy. To consider the difference between the two battery SOC values, the concept of equivalent fuel consumption is presented by two methods. One is based on the relationship between delta SOC and delta fuel consumption, and the other is based on the optimal control theory. Two rule-based power management strategies for an FCHV are presented, and for each strategy, the fuel economy is evaluated based on the two methods. The characteristics of the two methods are discussed and compared, and the superior one is selected based on the comparison.     

Modeling and control strategy development for fuel cell hybrid vehicles

Using MATLAB/Simulink, we constructed a comprehensive simulation model for the fuel cell hybrid vehicle (FCHV) power train in parallel with a power control strategy that uses a logic threshold approach implemented with a hybrid control unit (HCU). The simulation implements power flow and power distribution under different vehicle operating modes using the accelerator and decelerator pedal positions deduced from the driving schedule as primary inputs. The HCU control strategy also incorporates regenerative braking and recharging for recovery of battery capacity. Using the D-optimality method for selection of the optimal experiment values, three control threshold variables for the HCU are selected to maximize the hydrogen fuel economy under certain driving cycles. The proposed method provides the optimal configuration of the FCHV model, which has the capability of achieving the requested drive power while also meeting the vehicle driving schedule and recovery needs of the state of charge (SOC) battery, with lower fuel consumption levels.     

氢燃料电池混合动力汽车能量管理系统建模与仿真分析

为了合理分配燃料电池/动力电池混合动力汽车(FCHV)行驶过程中双电源的能量投入比例,更好地保护电池,本文讨论了“FC+B”汽车混合动力系统,设计了一种能量管理控制方法,利用Matlab/Simulink建立了能量管理系统模型,并对该能量管理系统进行了仿真研究。研究结果表明,制定的能量管理控制方法,可有效判断并计算需求功率,准确分配燃料电池和动力电池的功率,使FCHV具有良好经济性和安全性。     

Realization of pmp-based control for hybrid electric vehicles in a backward-looking simulation

Optimal control is generally not possible without information about the future coming up, and it is not easy to obtain an optimal solution even though the information is given a priori. In this paper, a control concept based on Pontryagin’s Minimum Principle (PMP) is introduced as an efficient solution to generate an optimal control trajectory for Hybrid Electric Vehicles (HVEs) when the performance of the vehicles is evaluated on scheduled driving cycles at a simulation level. The main idea of the control concept is to minimize Hamiltonian, which is interpreted as equivalent fuel consumption, and the Hamiltonian is characterized by a co-state, which is interpreted as a weighting factor for the electrical usage. A key aspect of the control problem is that an appropriate initial condition of the co-state is required to satisfy the boundary condition of the problem. In this study, techniques to calculate the Hamiltonian in different hybrid configurations are introduced, and a methodology to look for the initial condition of the co-state is studied, so that the controller is able to realize a desired State Of Charge (SOC) trajectory. To address the issue, we utilize a shooting method with multiple initial conditions based on the concept of the Newton-Raphson method, and all these techniques are realized in a backward looking simulator. The simulation results show that the PMP-based control is a very efficient approach to produce the optimal control trajectory, and the performance is compared to the optimal solution solved by Dynamic Programming (DP).     

Modeling and simulation of fuel cell hybrid vehicles

A comprehensive procedure for mathematical modeling and validation of a fuel cell hybrid vehicle (FCHV) is presented in this paper. The subsystems are modeled based on lab testing and in-field vehicle testing results from the Tongji University Start prototype vehicle. An FCHV-SIM (fuel cell hybrid vehicle simulation) model is then developed based on the experimental data. Model validation results confirm that the FCHV-SIM model is reasonably accurate and suitable for model-based control development.     

Hybrid vehicle power management modeling and refinement

The power management strategy in many hybrid vehicles is based on expert rules and thresholds. These rule-based strategies can result in good efficiency in term of fuel economy and emissions if their thresholds and rules are accurate. However, due to the complexity and the non-linearity of the hybrid powertrain, determining accurate thresholds and rules is neither explicit nor straightforward, and experts in most cases fail to define these thresholds and rules with enough accuracy. Based on this fact, the objective of this paper is to propose a method to improve this rule-based strategy by refining its thresholds and rules. To achieve this, we used an optimization method (dynamic programming) to calculate the optimal power management, determine the optimal control signals, and extract efficient thresholds and rules that can be used in real time. Finally, simulation results for the three strategies (optimal, simple and refined strategy) are shown and discussed.     

基于增益功率燃油系数的HEV能量管理策略

为了优化等效燃油最小能量管理策略的节油效果，以适用于工程批量应用为导向，制定基于增益功率燃油系数的混合动力汽车(HEV)能量管理策略。基于瞬时优化原理，提出基于增益功率燃油系数的工作模式决策机制，根据电机发电或电动引起的发动机功率与燃油消耗率的变化关系，分别给出电机充电和放电模式下增益功率燃油系数的计算方法。考虑发动机扭矩瞬态快速变化对油耗的影响和电机及电池包充放电效率特性，提出发动机高效区域扭矩滞回控制方法，建立基于增益功率燃油系数的能量管理策略算法架构。基于MATLAB/Simulink搭建控制策略软件模型，通过转鼓试验台进行实车试验验证。研究结果表明：相对于等效燃油最小能量管理策略，基于增益功率燃油系数的能量管理策略提升了节油率和舒适性，在全球轻型汽车测试循环(WLTC)工况下的百公里油耗降低了约4.8%，发动机的启停次数降低了约53%；相对于有效燃油消耗率(BSFC)最优工作点控制方法，发动机高效区域滞回控制方法降低百公里油耗约1.8%；与采用基于动态规划的全局优化能量管理策略的仿真结果对比，在不能提前预知工况的条件下，制定的能量管理策略在WLTC工况与新标欧洲测试循环(NEDC)工况下的油耗与理论最优值差距均较小。     

基于混合动态系统理论的简单混联式混合动力客车能量管理策略

分析简单混联式混合动力客车动力系统的结构;基于混合动态系统理论制定能量管理策略,并且通过仿真将该方案与原车进行比较.仿真结果表明,采用该方案的车辆动力性有所改善,燃油经济性有显著提高.     

Development of a control strategy based on the transmission efficiency with mechanical loss for a dual mode power split-type hybrid electric vehicle

In this study, a control strategy for a dual mode power split-type hybrid electric vehicle (HEV) is developed based on the powertrain efficiency. To evaluate the transmission characteristics of the dual mode power split transmission (PST), a mechanical loss model of the transmission (TM loss) is constructed. The transmission efficiency, including the TM loss, is evaluated for the dual mode PST. Two control strategies for the dual mode PST are proposed. An optimal operation line (OOL) control strategy is developed to maintain a high engine thermal efficiency by controlling the engine operation point on the OOL. A speed ratio (SR) control strategy is proposed to obtain a greater transmission efficiency by shifting the engine operation point when the dual mode PST operates near the mechanical points. Using the TM loss and the proposed control strategies, a vehicle performance simulation is conducted to evaluate the performance of the two control strategies for dual mode PST. The simulation results demonstrate that, for the SR control strategy, the engine efficiency decreases because the engine operates beyond the OOL. However, the transmission efficiency of the dual mode PST increases because the PST operates near the mechanical point where the PST shows the greatest transmission efficiency. Consequently, the fuel economy of the SR control strategy is improved by 3.8% compared with the OOL control strategy.     

New Optimal Power Management Strategy for Series Plug-In Hybrid Electric Vehicles

Recently Plug-in hybrid electric vehicles (PHEVs) have gained increasing attention due to their ability to reduce the fuel consumption and emissions. In this paper a new efficient power management strategy is proposed for a series PHEV. According to the battery state of charge (SOC) and vehicle power requirement, a new rule-based optimal power controller with four different operating modes is designed to improve the fuel economy of the vehicle. Furthermore, the teaching-learning based optimization (TLBO) method is employed to find the optimal engine power and battery power under the specified driving cycle while the fuel consumption is considered as the fitness function. In order to demonstrate the effectiveness of the proposed method, four different driving cycles with various numbers of driving distances for each driving cycle are selected for the simulation study. The performance of the proposed optimal power management strategy is compared with the rule-based power management method. The results verify that the proposed power management method could significantly improve the fuel economy of the series PHEV for different driving conditions.     

From Offline to Adaptive Online Energy Management Strategy of Hybrid Vehicle Using Pontryagin’s Minimum Principle

This paper details the development of an energy management strategy (EMS) for real-time control of a multi hybrid plug-in electric bus. The energy management problem has been formulated as an optimal control problem in order to minimize the fuel consumption of the bus drivetrain for a typical day of operation. Considering the physical characteristics of the studied hybrid electric bus and its well-known daily tour, the Pontryagin’s minimum principle (PMP) is firstly used as the mean to obtain offline optimal EMS. Afterward, in order to adapt the proposed strategy for real-time implementation, the proposed control parameters are adapted online using feedback from the battery state of energy (SOE) which allows us to accurately control the battery SOE in the presence of wide range of uncertainties. The work proposed in this paper is conducted on a dedicated high-fidelity dynamical model of the hybrid bus, that was developed on MATLAB/TruckMaker software. The performance evaluation of the proposed strategy is carried out using a normalized driving cycles to represent different driving scenarios. Obtained results show that among the investigated methods, it is reasonable to conclude that the proposed adaptive online strategy based on PMP is the most suitable to design the targeted EMS.     

基于改进全局优化算法的轮毂液压动力系统能量管理策略

现有针对轮毂液压混合动力系统的能量管理策略均为结合研究人员经验与发动机最优工作区域的简单控制，暂未见优化控制策略的应用，导致实际控制值与最优控制值的偏差较大，无法充分发挥该系统的节油能力。基于此，针对该系统提出了一种基于改进全局优化算法的能量管理策略，探寻该系统的理论最大节油量，进一步挖掘该系统的节能潜力。首先，该策略建立了基于车速-蓄能器荷电状态（SOC）自适应调节等效油耗因子的方法计算目标函数中的罚函数，从而提高系统的制动回收能力，避免计算结果陷入局部最优；随后，根据轮毂液压混合动力系统各模式工作点相对固定的特性，实现了控制变量降维；最后以实测数据进行了仿真测验。结果显示：比起传统的全局最优策略，该方法可以进一步实现3.36%的节油效果；同时，在实现节油的基础上，经过控制变量降维后计算时间减少了35%，而计算精度基本不受影响。     

丰田FCHV-4型燃料电池汽车的结构特性分析

丰田汽车公司开发的FCHV-4型采用燃料电池和辅助电池作为混合动力系统的能源,极大提高能源转换效率,使汽车具有良好的性能。燃料电池与牵引电机逆变器直接相连,与辅助电池和DC/DC器串联。该燃料电池汽车的效率为传统内燃机汽车的3倍。     

基于马尔可夫决策理论的燃料电池混合动力汽车能量管理策略

根据道路试验记录的数据建立驾驶员需求功率的马尔可夫模型,利用马尔可夫决策理论获得混合动力汽车的随机能量管理策略。借助燃料电池混合动力汽车控制系统的仿真平台进行仿真计算。北京公交车中速工况的仿真结果表明,与原先的恒电压控制策略相比,随机能量管理策略可以降低燃料消耗。     

燃料电池电动汽车能量管理系统研究

提出多能源燃料电池加镍氢电池及超级电容燃料电池电动汽车混合动力系统的方案,并设计了动力系统结构。通过比较车载3种能源,给出了动力总成控制系统结构,重点对能量管理系统进行优化,采取燃料电池发动机输出功率预测控制策略,减少了其输出功率的频繁波动。仿真结果证明能量管理策略可行。     

氢燃料电池发动机热管理系统的控制方案研究

针对目前氢燃料电池发动机系统在变载过程中存在的电堆温度波动较大、热管理子系统响应速度慢等问题,提出了基于电堆功率、电堆进出口冷却液温差、冷却液流量等多参数跟随的热管理控制方案.利用AMESim仿真软件对某款氢燃料电池发动机的热管理系统建立了一维仿真模型,并在典型工况下对不同控制方案进行仿真分析.结果 表明:水泵转速跟随...     

Optimization of power management among an engine,battery and ultra-capacitor for a series HEV: A dynamic programming application

In a hybrid electric vehicle (HEV) system, it is an important issue on how to distribute the output power from multiple power generating components to operate a vehicle more efficiently. Many studies have been conducted on how to manage multiple power sources of a vehicle based on various optimization theories. In this study, an algorithm to calculate the optimization of a series HEV that has three power generating components, engine, battery and ultra-capacitor, is developed based on dynamic programming. Normally dynamic programming is applied to the optimization of power management and components sizing by estimating potential fuel economy for electrified vehicle such as HEV, Plug-in HEV or Fuelcell HEV. In contrast with most objective systems that have only two power generating components, the system in this study has three power sources. Since the system has three power sources, the number of state and control variables of optimization problem increases. Therefore the number of calculations increases unreasonably. To decrease the number and time of calculations, a new electric model that contains the both characteristics of battery and ultra-capacitor is developed with some assumptions. In comparison with the optimization algorithm which follows the theory of DP with no assumptions, the results from the newly developed algorithm has 1.04 % discrepancy in terms of fuel economy, even though the calculation time decreases to 4400 times less.     

考虑燃料电池衰退的FCHEV反馈优化控制策略

为了提高插电式燃料电池混合动力汽车的经济性和燃料电池耐久性，在构建燃料电池衰退模型的基础上，制定等效氢气消耗最小（ECMS）的反馈优化控制策略。ECMS反馈优化控制策略中目标价值函数的等效氢气消耗除包括燃料电池氢气消耗和动力电池等效氢气消耗外，还将燃料电池开路电压衰退转化成等效的氢气消耗加入到目标价值函数之中，以电机需求功率P_m、动力电池SOC值为状态变量，动力电池目标功率为控制变量，取使目标价值函数最小的动力电池目标功率作为参考动力电池目标功率输出，并根据反馈的燃料电池电压衰退速率对燃料电池系统输出功率限制变化值ΔP_f进行动态调整，最终得到燃料电池目标功率。通过MATLAB/Simulink建立插电式燃料电池汽车前向仿真模型，采用城市道路循环（UDDS）工况进行验证。研究结果表明：相比基于规则的能量管理策略，电量保持（CS）阶段采用ECMS反馈优化控制策略，氢气消耗量降低2.6%，同时燃料电池的开路电压衰退降低4.1%，基于ECMS的反馈优化控制策略相比基于规则的能量管理策略在高效区间的工作点占比更高；与ΔP_f分别为1，2，3 kW时相比，采用燃料电池系统电压衰退速率反馈调节ΔP_f策略的氢气消耗量为0.105 3 kg，相比ΔP_f为1，2 kW的氢气消耗量（0.121 3，0.110 2 kg）有明显优化，接近ΔP_f为3 kW的氢气消耗量（0.102 9 kg），同时燃料电池电压衰退速率有明显的减小，整车经济性与燃料电池耐久性都得到了改善。     

燃料电池城市客车电电混合动力系统研究

对电电混合燃料电池城市客车在不同工况下的输出性能和匹配特性进行分析,研究电电混合动力系统在各种工况下的能量管理策略。表明动力电池可以保障燃料电池系统在平稳状态工作,显著延长燃料电池工作寿命,节约成本,提高整车可靠性。