Optimal power distribution of front and rear motors for minimizing energy consumption of 4-wheel-drive electric vehicles

In this paper, the optimal power distribution of the front and rear motors for minimizing energy consumption of a 4WD EV is investigated. An optimal power distribution control is developed based on the mathematical energy consumption model of an EV. The objective function is defined while ignoring time. And, the time effect is applied by considering the objective function for every single driving point which consists of the vehicle driving force and velocity. From the optimization problem, the optimal torque distribution maps of the front and rear motors can be obtained for all vehicle driving force and velocity ranges. These maps can be expressed using a 3-dimensional map. If the vehicle driving force and velocity are determined, the optimal front and rear motor torques can be determined using these maps. These maps can distribute the front and rear motor torques for the entire velocity range. Thus, these maps can perform the optimal power (torque times speed) distribution of the front and rear motors for minimizing the energy consumption of the 4WD EV. The performance of the optimal power distribution is evaluated by comparing the energy consumption to that of simple power distribution control. For obtaining the energy consumption, a vehicle driving simulation is performed. For the simulation, the driving cycle is required, and the NEDC (New European Driving Cycle) is used. From the simulation results, it is found that the energy consumption of simple power distribution is 4.8 % larger than the optimal one. Thus, the optimal power distribution can minimize the 4WD EV energy consumption as the optimization objective function.     

转向加速工况下汽车驱动防滑控制系统滑转率算法研究

汽车低速转弯加速时,用后轮轮速作为参考车速计算驱动轮滑转率会造成计算偏差,引起驱动防滑控制系统误干预,为此提出了驱动轮滑转率计算的修正算法.该修正算法不需要增加前轮转角传感器,而是采用两非驱动轮轮速估计车身横摆角速度和汽车前轮转角,进而计算出前轮参考轮速,并将前轮参考轮速代替车速对转弯工况的驱动轮滑转率计算进行修正.试验结果表明,该修正算法消除了滑转率计算误差,可防止汽车在高附着路面上转弯加速时驱动防滑控制系统的误干预.     

Automotive Stability and Handling Dynamics in Cornering and Braking Maneuvers

SUMMARY

Automotive steering behaviour is classified for steady-state cornering and the definitions of over-/understeer and stability/instability are well known. In this paper it is intended to apply these definitions to combined cornering and braking maneuvers i.e. to extend the criteria to quasi-steady-state conditions. This way of investigation was chosen because it gives a clear idea of the typical handling behaviour. Furthermore, the vehicle behaviour is analyzed using the cornering stiffness of the axles and front/rear cornering stiffness ratio because this is always of primary significance. The following contribution is based on a theoretical analysis considering the most important non-linear vehicle properties.

The paper deals with two groups of vehicles: single vehicles (passenger cars) and combinations (passenger car/caravan and tractor/semitrailer). In the case of combinations the effect of trailers on the towing vehicles is examined. So, careful attention is paid to the coupling forces, which alter the wheel loads and influence steerability and stability.     

Speed ratio control of a parallel layout double cavity half-toroidal CVT for four-wheel drive

A double cavity half-toroidal CVT has two variators, which gives a hint of a new four-wheel drive without a center differential gear unit by applying each of them to drive front and rear drive shafts independently. Torque re-circulation at cornering or different tire radii between front and rear tire is avoided by compensating the speed ratio of variator. The controller adjusts the attitude angle of power roller of the front variator against the rear by measuring the steering angle at cornering. This paper describes the speed ratio control system of the 4WD-CVT with speed ratio range of 1 : 8.7 and test results of vehicle motion mounted on a 3.2L RV.     

Nonlinear PI front and rear steering control in four wheel steering vehicles

Vehicle steering dynamics show resonances, which depend on the longitudinal speed, unstable equilibrium points and limited stability regions depending on the constant steering wheel angle, longitudinal speed and car parameters.

The main contribution of this paper is to show that a combined decentralized proportional active front steering control and proportional-integral active rear steering control from the yaw rate tracking error can assign the eigenvalues of the linearised single track steering dynamics, without lateral speed measurements, using a standard single track car model with nonlinear tire characteristics and a non-linear first-order reference model for the yaw rate dynamics driven by the driver steering wheel input. By choosing a suitable nonlinear reference model it is shown that the responses to driver step inputs tend to zero (or reduced) lateral speed for any value of longitudinal speed: in this case the resulting controlled vehicle static gain from driver input to yaw rate differs from the uncontrolled one at higher speed. The closed loop system shows the advantages of both active front and rear steering control: higher controllability, enlarged bandwidth for the yaw rate dynamics, suppressed resonances, new stable cornering manoeuvres, enlarged stability regions, reduced lateral speed and improved manoeuvrability; in addition comfort is improved since the phase lag between lateral acceleration and yaw rate is reduced.

For the designed control law a robustness analysis is presented with respect to system failures, driver step inputs and critical car parameters such as mass, moment of inertia and front and rear cornering stiffness coefficients. Several simulations are carried out on a higher order experimentally validated nonlinear dynamical model to confirm the analysis and to explore the robustness with respect to unmodelled dynamics.     

Nonlinear PI front and rear steering control in four wheel steering vehicles

Vehicle steering dynamics show resonances, which depend on the longitudinal speed, unstable equilibrium points and limited stability regions depending on the constant steering wheel angle, longitudinal speed and car parameters.

The main contribution of this paper is to show that a combined decentralized proportional active front steering control and proportional-integral active rear steering control from the yaw rate tracking error can assign the eigenvalues of the linearised single track steering dynamics, without lateral speed measurements, using a standard single track car model with nonlinear tire characteristics and a non-linear first-order reference model for the yaw rate dynamics driven by the driver steering wheel input. By choosing a suitable nonlinear reference model it is shown that the responses to driver step inputs tend to zero (or reduced) lateral speed for any value of longitudinal speed: in this case the resulting controlled vehicle static gain from driver input to yaw rate differs from the uncontrolled one at higher speed. The closed loop system shows the advantages of both active front and rear steering control: higher controllability, enlarged bandwidth for the yaw rate dynamics, suppressed resonances, new stable cornering manoeuvres, enlarged stability regions, reduced lateral speed and improved manoeuvrability; in addition comfort is improved since the phase lag between lateral acceleration and yaw rate is reduced.

For the designed control law a robustness analysis is presented with respect to system failures, driver step inputs and critical car parameters such as mass, moment of inertia and front and rear cornering stiffness coefficients. Several simulations are carried out on a higher order experimentally validated nonlinear dynamical model to confirm the analysis and to explore the robustness with respect to unmodelled dynamics.     

电子差速系统轮胎附着特性模拟仿真研究

电子差速系统相对于传统的机械式差速器可以实现转矩的精准分配,根据轮胎的纵向运动特性以及侧向运动特性,结合轮胎滑移率让内外侧车轮在过弯时拥有足够的附着力,减小整车的横摆角速度,提高过弯稳定性。采用后轮双电机的驱动方案,驱动电机采用直接转矩控制的方法,由整车控制器将指定的计算转矩信号发送给电机控制器完成动力分配,所需转矩根据驾驶员的加速踏板及方向盘转角,运用阿克曼转向模型计算得到。     

乘用车传动系与底盘的技术特征

通过对全球乘用车传动及底盘结构进行统计分析,给出了乘用车驱动方式与车长、手动变速器与车长、自动变速器与车长、前单横臂后扭力梁组合与车长、前单横臂后多连杆组合与车长、前双横臂后多连杆组合与车长、装空气弹簧车辆与车长关系的统计数据。论述了乘用车不同车身形式所采用的弹性元件与稳定杆类别,以及乘用车所采用的不同制动方式。     

基于自适应模型预测的智能汽车横向轨迹跟踪控制

当路面附着情况和车辆行驶状态不断变化时,基于恒定侧偏刚度的模型预测控制(MPC)不能考虑轮胎非线性特性的影响,难以保证车辆轨迹跟踪的适应性。为此,提出一种考虑轮胎侧向力计算误差的自适应模型预测控制(AMPC),以提高智能汽车在不确定工况下的轨迹跟踪性能。分析了路面附着系数和垂向载荷对轮胎侧向力的影响,基于平方根容积卡尔曼滤波(SCKF)算法,设计了利用侧向加速度和横摆角速度作为测量变量的前后轮胎侧向力估计器。利用轮胎侧向力线性计算值与估计值的差值计算得到侧偏刚度修正因子,设计了前后轮胎侧偏刚度的自适应修正准则,进而提出了一种基于时变修正刚度的AMPC控制方法。基于CarSim与MATLAB/Simulink联合仿真和硬件在环测试平台,对AMPC控制的有效性和实时性进行了验证。研究结果表明：在不同的路面附着情况和车辆行驶状态下,AMPC控制都能够降低横向位置偏差和航向角偏差,有效提高车辆的轨迹跟踪精度,其控制效果明显优于基于恒定侧偏刚度的标准MPC控制。尤其在低附着工况下,标准MPC控制会因为线性轮胎力的计算误差过大而导致车辆在轨迹跟踪时严重失稳,而AMPC控制通过估计轮胎力修正侧偏刚度依然能够保证车辆稳定有效的跟踪参考轨迹。所提出的AMPC控制在保证控制精度的同时具有良好的实时性,对智能汽车控制系统的设计与优化具有重要参考价值。     

四轮转向汽车自适应模型跟踪控制研究

使用单点预瞄驾驶员模型，针对确定性汽车模型探讨了４ＷＳ汽车在单移线行驶过程中后轮的最优转向控制规律。通过引入状态反馈，改善了整车的转向特性，将实际汽车的前后轮胎侧刚度及外界干扰视为有界的不确定性参数，采用自适应模型跟踪变结构控制方法，使得不确定的实际汽车模型能够很好地跟踪确定的最优理论模型，仿真结果表明该方法的可行性，控制系统能够有效地克服参数摄动及外界干扰对系统稳定性的影响。     

轿车前后轴制动力平衡分布研究

基于大量轿车前后轴制动力实测数据，运用数理统计手段，研究确定国产主要轿车前后轴制动车平衡分布规律及分布参数，进而建立相应车型的前后轴制动力平衡分布计算模型，本文研究对从统计规律上掌握国产轿车前后轴承动力平衡性能和准确地计算相应的分布数值具有十分重要的意义。     

摩擦材料摩擦特性对轿车前,后制动力之比的影响

本研究了摩擦材料摩擦特性对轿车（盘式），后（鼓式）制动器制动力之比的影响。根据对前，后制动器部总成大量的测功器试结果，计算并绘出前，后制动之比值随制动管路压力，车速，制动温度的变化关系曲线，并与设计作了对比分析，讨论了它对轿车制动稳定性的影响，为制动性能计算，制动器设计和制动衬片摩擦材料的选配提供依据和参考，从而保证了轿车的制动稳定性。     

Effect of the Controller Parameters on the Steerability of the Four Wheel Steered Car

The four-wheel-steering systems of the cars are becoming more and more wide-spread. In addition to the conventional 4WS systems (e.g. the steering-wheel-angle dependent four-wheel-steering and the speed dependent 4WS) there already exist some so called active 4WS systems. The front wheels and rear wheels are steered autonomously by the feedback compensation and in this manner the behaviour of the car during high-speed turning manoeuvre and under the side wind gust is improved. But what happens if some of the parameters of the car are changed? In the present paper, the author will analyze the system's response when the internal tyre pressure in the rear wheels is lower than the normal. Due to this the under-steered car becomes over-steered and the question is whether the control system is able to stabilize the motion of the vehicle.     

大型载货汽车被动安全性的特点及改进措施

大型载货汽车造成的人员死亡仅次于小型客车，工货汽车在交通事故中造成对方伤害的主要因素是：大载货汽车车架结构离地高度大，在前、后方造成轿车钻入碰撞、侧面造成展压，大型载货汽车的质量远大于轿车；与轿车时导致碰撞相容性问题，前、后下部防护装置能有效地防止轿车钻入，合理的能量吸收特性可改善载货汽车与轿车的碰撞相容性。中用交通事故统计数说明载货汽车被动安全性的重要性，深入分析载货汽车被动安全性的特点，最后介绍了改进载货汽车被动安全性的措施。     

扭转梁后悬架C特性对转向特性的影响分析

为分析扭转梁C特性对稳态转向性能的影响,文章以模态综合法建立了某乘用车扭转梁后悬柔性模型,对建立的原型车进行侧向力C特性仿真,与对标车进行对比发现仿真与试验值存大较大差异,且侧向力前束特性存在较大的过度转向趋势.通过优化安装衬套的刚度使得原型车与试验结果吻合,最后对整车进行稳态回转仿真发现,负的前束侧向力特性不利于转向,优化后的模型提高了整车不足转向.     

Feedback brake distribution control for minimum pitch

The distribution of brake forces between front and rear axles of a vehicle is typically specified such that the same level of brake force coefficient is imposed at both front and rear wheels. This condition is known as ‘ideal’ distribution and it is required to deliver the maximum vehicle deceleration and minimum braking distance. For subcritical braking conditions, the deceleration demand may be delivered by different distributions between front and rear braking forces. In this research we show how to obtain the optimal distribution which minimises the pitch angle of a vehicle and hence enhances driver subjective feel during braking. A vehicle model including suspension geometry features is adopted. The problem of the minimum pitch brake distribution for a varying deceleration level demand is solved by means of a model predictive control (MPC) technique. To address the problem of the undesirable pitch rebound caused by a full-stop of the vehicle, a second controller is designed and implemented independently from the braking distribution in use. An extended Kalman filter is designed for state estimation and implemented in a high fidelity environment together with the MPC strategy. The proposed solution is compared with the reference ‘ideal’ distribution as well as another previous feed-forward solution.     

Development and implementation of a torque vectoring algorithm for an innovative 4WD driveline for a high-performance vehicle

The sporting spirit that characterises a high-performance car can be observed in certain technical solutions. The power distribution on the rear wheels is the simplest example of that. It is well known that rear-wheel drive (RWD) vehicles are more fun to drive and faster in their reactions. Unfortunately, they are also less intuitive and harder to control because of their natural oversteering behaviour. The idea of maintaining an RWD driveline in the future is not farseeing, because it would imply an excessive tyre dimension increasing to let the driver use all engine power in many cornering and low-friction conditions. The choice of adopting a part-time all-wheel drive (AWD) driveline comes from the will of enhancing the overall performance by using all the available friction every time that it is needed. It has to be kept into account that a normally aspirated motor of a sport car can supply 500–600 Hp nowadays, and that it will supply 700–800 Hp in the very near future. However, the proposed driveline has not to worsen the weight characteristics (mass and load distribution) that make an RWD vehicle better than other cars. Because of all these considerations and constraints, a new driveline system has been designed. It derives from an RWD driveline with a semi-active differential, to which has been added a controlled wet clutch that directly connects the engine to the front differential. This device allows the drive torque to be distributed between the two axles. It can be understood that in such a device, the torque distribution does not depend only on the central clutch action, but also on the engaged gear. Because of this particular layout, this system can not work in the whole gear range because of thermal problems due to kinematical reasons. So the centre clutch controller has to consider the gear position too. The control algorithms development was carried out using a vehicle model, which can precisely simulate the handling response, the powertrain dynamic, and the actuation system behaviour. Such a modelling precision required the development of a customised powertrain model library in Matlab/Simulink.     

Development of control logic for hydraulic active roll control system

Developed in this research is a control logic for the ARC (Active Roll Control) system that uses rotary-type hydraulic stabilizer actuators at the front and rear axles. The hydraulic components of the system were modeled in detail using AMESim, and a driving logic for the hydraulic circuit was constructed based upon the model. The performance of the driving logic was evaluated on a test bench, and it demonstrated good pressure tracking capability. The control logic was then designed with the target of reducing the roll motion of the vehicle during cornering. The control logic consists of two parts: a feedforward controller that generates anti-roll moments in response to the centrifugal force, and a feedback controller that generates anti-roll moments in order to make the roll angle to follow its target value. The developed ARC logic was evaluated on a test vehicle under various driving conditions including a slowly accelerated circular motion and a sinusoidal steering. Through the test, the ARC system demonstrated successful reduction of the roll motion under all conditions, and any discomfort due to the control delay was not observed even at a fast steering maneuver.     

基于理想制动力分配曲线的复合制动设计

以理想制动力分配曲线为目标,在车辆液压制动力分配系数保持不变的情况下,研究了前后液压制动力和再生制动力分配的比例关系,确定了制动力分配控制策略;在确保液压制动力分配系数满足法规要求的情况下,以最优制动力分配为目标优化了整车结构参数。     

分布式驱动电动汽车转矩节能优化分配

为了提高分布式驱动电动汽车的经济性和续航里程,对4个轮毂电机驱动转矩优化分配问题进行研究。通过轮毂电机台架试验得到轮毂电机的驱动效率特性,分析转矩优化分配实现节约整车能耗的可行性;建立侧重提高电机效率的目标函数,使电机转矩处于电机效率Map图中的高效区;建立侧重提高电机响应速度的目标函数,减小转矩分配瞬间电流波动过大带来的能耗;基于模糊理论设计以电机效率为变量的权重函数,实时调节权重来协调2种目标函数,提出一种转矩节能优化分配方法,得到最优的轴间转矩分配系数。在后轴驱动、平均分配、优化分配3种分配方式下进行整车能耗的ECE城市循环工况对比仿真分析。结果表明：提出的节能优化分配方法通过实时优化驱动电机的转矩,避免了电机工作在转矩过大和过小的低效区,提高了整个驱动系统的能量利用率,相比于后轴驱动和平均分配整车能耗效率提高了5.91%和10.54%;实车试验验证了转矩节能优化分配算法的节能效果,优化分配相比另外2种分配方式整车能耗效率分别提高了3.66%和8.58%。