CN113326572B - Double-motor coupling driving system integration optimization method for electric bus - Google Patents
Double-motor coupling driving system integration optimization method for electric bus Download PDFInfo
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Abstract
本发明提供了一种用于电动大巴的双电机耦合驱动系统集成优化方法,利用粒子群算法与动态规划算法分别构建了上层、下层算法。其中,粒子群算法以粒子坐标代表待优化的系统参数,并在每个粒子下用动态规划算法作为控制策略优化算法,以系统功率损失为目标函数对耦合驱动系统的控制策略实现优化,保证了每个粒子都以最优的控制策略运行,使得到的粒子能够达到的最小功率损失,以此功率损失与功率等级进行加权求和后作为粒子群算法的目标函数,粒子群算法寻求其目标函数最小值所对应的粒子坐标即为最优的系统参数。
The invention provides an integrated optimization method for a dual-motor coupling drive system for an electric bus, and uses particle swarm algorithm and dynamic programming algorithm to construct upper-layer and lower-layer algorithms respectively. Among them, the particle swarm algorithm uses the particle coordinates to represent the system parameters to be optimized, and uses the dynamic programming algorithm as the control strategy optimization algorithm under each particle to optimize the control strategy of the coupled drive system with the system power loss as the objective function. Each particle runs with the optimal control strategy, so that the minimum power loss that the obtained particle can achieve, and the weighted summation of the power loss and the power level is used as the objective function of the particle swarm optimization algorithm, and the particle swarm optimization algorithm seeks its objective function. The particle coordinate corresponding to the minimum value is the optimal system parameter.
Description
技术领域technical field
本发明属于双电机耦合驱动系统的参数匹配技术领域,特别是涉及双电机耦合驱动系统系统参数与控制策略的集成优化。The invention belongs to the technical field of parameter matching of a dual-motor coupling drive system, in particular to the integrated optimization of system parameters and control strategies of the dual-motor coupling drive system.
背景技术Background technique
双电机耦合驱动系统是一种新兴的主要面向于载重较大,对输出功率要求较高的大型载重或载客电动汽车的驱动系统,其主要优势在于通过对工作模式进行适合的调整,能够提高整个运行工况中电机的负载率,进而提高驱动效率。双电机耦合驱动系统有多种拓扑结构形式,电机功率、传动齿轮传动比等参数在不同拓扑结构中均具有比较重要的地位,拓扑结构和系统参数选择是否合适将很大程度的影响耦合装置效率的发挥。The dual-motor coupling drive system is an emerging drive system mainly for large-scale heavy-duty or passenger-carrying electric vehicles with large load and high output power requirements. Its main advantage is that by adjusting the working mode appropriately, it can improve the The load rate of the motor in the entire operating condition, thereby improving the drive efficiency. The dual-motor coupling drive system has a variety of topology structures. Parameters such as motor power and transmission gear ratio have a relatively important position in different topology structures. Whether the topology structure and system parameters are appropriate will greatly affect the efficiency of the coupling device. play.
目前常见的参数匹配方式包括:根据车辆动力性的要求进行电机功率和齿轮传动比的匹配,从匹配的参数取值范围中取值进行耦合装置设计,这种方法最简单,但是没有考虑系统参数匹配对于耦合装置效率的影响,对于电动大巴这种对系统动力性要求不高而对系统经济性要求更高的车辆驱动系统并不合适;基于能量管理使用优化算法对系统参数进行匹配优化,这种优化方法虽然考虑了耦合装置系统参数对于驱动系统效率的影响,但是没有考虑到控制策略对于效率产生的影响,这会导致实验结果与实际结果有较大的出入。因此,如何综合考虑参数匹配、控制策略影响因素,进一步提高双电机耦合驱动系统效率,是本领域中亟待解决的技术问题。At present, the common parameter matching methods include: matching the motor power and gear ratio according to the requirements of vehicle dynamics, and designing the coupling device by taking the value from the matching parameter value range. This method is the simplest, but does not consider the system parameters. The influence of matching on the efficiency of the coupling device is not suitable for the electric bus, which does not require high system dynamics but requires higher system economy. The system parameters are matched and optimized based on energy management. Although this optimization method considers the influence of the coupling device system parameters on the efficiency of the drive system, it does not consider the influence of the control strategy on the efficiency, which will lead to a large discrepancy between the experimental results and the actual results. Therefore, how to comprehensively consider the parameters matching and the influencing factors of the control strategy to further improve the efficiency of the dual-motor coupling drive system is a technical problem to be solved urgently in the field.
发明内容SUMMARY OF THE INVENTION
针对上述本领域中存在的技术问题,本发明提供了一种用于电动大巴的双电机耦合驱动系统集成优化方法,具体包括以下步骤:In view of the technical problems existing in the above-mentioned field, the present invention provides a method for integrating and optimizing a dual-motor coupling drive system for an electric bus, which specifically includes the following steps:
步骤一、选取驱动系统中的待优化系统参数作为粒子坐标,包括两个电机各自的额定功率和传动齿轮的传动比,并设定相应的取值范围,完成粒子群算法初始化;Step 1: Select the parameters of the system to be optimized in the drive system as the particle coordinates, including the respective rated power of the two motors and the transmission ratio of the transmission gear, and set the corresponding value range to complete the initialization of the particle swarm algorithm;
步骤二、验证所选取的粒子是否满足汽车动力性要求,保留满足要求的粒子并进入动态规划算法,对不满足要求的粒子使其跳过动态规划算法并输入粒子群算法,同时将其粒子群目标函数值取为预定值;Step 2: Verify whether the selected particles meet the requirements of vehicle dynamics, retain the particles that meet the requirements and enter the dynamic programming algorithm, and skip the dynamic programming algorithm and enter the particle swarm algorithm for the particles that do not meet the requirements. The objective function value is taken as a predetermined value;
步骤三、以驱动系统的工作模式与耦合驱动时两电机的功率分配比例作为状态参量、换挡决策与功率分配比例变化量作为决策参量,并以整个运行工况中考虑效率的电机、带排和齿轮总功率损失最小为动态规划算法目标,对保留的粒子进行控制策略优化,并计算对应的所述总功率损失;Step 3. Take the working mode of the drive system and the power distribution ratio of the two motors during coupled drive as the state parameter, the shift decision and the change in the power distribution ratio as the decision parameter, and take the motor, belt-exhaust, etc. considering the efficiency in the entire operating condition as the state parameter. The goal of the dynamic programming algorithm is to minimize the total power loss of the gear and the gear, optimize the control strategy for the retained particles, and calculate the corresponding total power loss;
步骤四、以步骤三计算得到的所述总功率损失与两电机决定的功率等级加权求和作为粒子群算法的目标函数,并对由步骤三优化后的粒子以及步骤二输入的粒子所组成的粒子群进行迭代计算,在粒子群算法满足终止条件时输出最优解;驱动系统基于最优解对应的两电机额定功率、耦合装置拓扑结构对应的齿轮传动比,提供优化控制策略;Step 4. Use the weighted summation of the total power loss calculated in step 3 and the power levels determined by the two motors as the objective function of the particle swarm algorithm, and compare the particles optimized in step 3 and the particles input in step 2. The particle swarm is iteratively calculated, and the optimal solution is output when the particle swarm algorithm meets the termination conditions; the drive system provides an optimal control strategy based on the rated power of the two motors corresponding to the optimal solution and the gear ratio corresponding to the topology of the coupling device;
步骤五、定期将步骤四得到的最优解输入步骤二,对最优解进行更新。Step 5. Regularly input the optimal solution obtained in Step 4 into Step 2 to update the optimal solution.
进一步地,所述粒子的坐标与待优化参数具有相同维度,每个坐标的初始值在待优化参数的取值范围内随机取值;Further, the coordinates of the particles and the parameters to be optimized have the same dimension, and the initial value of each coordinate is randomly selected within the value range of the parameters to be optimized;
进一步地,步骤二中验证所选取的粒子是否满足汽车动力性要求可根据电机外特性曲线,求解各车速下耦合装置的最大输出转矩,将其与车辆最大爬坡度要求的耦合装置输出转矩需求、车辆最高车速要求的耦合装置输出转矩需求进行比较来判断。Further, in step 2, to verify whether the selected particles meet the requirements of the vehicle dynamic performance, the maximum output torque of the coupling device at each vehicle speed can be calculated according to the external characteristic curve of the motor, and the output torque of the coupling device required by the maximum grade of the vehicle can be compared with the output torque of the coupling device. It is judged by comparing the output torque demand of the coupling device with the demand and the maximum speed demand of the vehicle.
进一步地,步骤三中动态规划算法具体采用逆行寻优迭代,计算过程如下:Further, in step 3, the dynamic programming algorithm specifically adopts retrograde optimization iteration, and the calculation process is as follows:
mode(n)=mode(n+1)+shift(n)mode(n)=mode(n+1)+shift(n)
k(n)=k(n+1)+Δk(n)k(n)=k(n+1)+Δk(n)
其中,mode(n),mode(n+1)分别为第n个状态和第n+1个状态的工作模式状态参量,k(n),k(n+1)为第n个状态和第n+1个状态的功率分配比例状态参量,shift(n)为第n 个状态和第n+1个状态之间的换挡决策参量,Δk(n)为第n个状态和第n+1个状态之间的功率分配比例变化量;Among them, mode(n), mode(n+1) are the working mode state parameters of the nth state and the n+1th state, respectively, and k(n), k(n+1) are the nth state and the nth state. The power distribution proportional state parameter of n+1 states, shift(n) is the shift decision parameter between the nth state and the n+1th state, Δk(n) is the nth state and the n+1th state The amount of change in the power distribution ratio between the states;
对于第n个状态,动态规划算法的目标函数为从第n个状态到最后一个状态的运行过程中整个耦合装置的总功率损失为目标函数,即:For the nth state, the objective function of the dynamic programming algorithm is the total power loss of the entire coupling device during the operation from the nth state to the last state as the objective function, namely:
JDP(mode(n),k(n))=min(JDP(mode(n+1),k(n+1))+loss(shift(n),Δk(n)))J DP (mode(n),k(n))=min(J DP (mode(n+1),k(n+1))+loss(shift(n),Δk(n)))
式中,JDP为相应状态对应的最小的功率损失,loss(shift(n),Δk(n))为从第n+1个状态到第n个状态的决策过程产生的功率损失。In the formula, J DP is the minimum power loss corresponding to the corresponding state, and loss(shift(n), Δk(n)) is the power loss generated by the decision-making process from the n+1th state to the nth state.
进一步地,步骤三中所述考虑效率的电机、带排和齿轮功率损失分别通过以下方式计算:Further, the motor, belt row and gear power losses considering the efficiency described in step 3 are calculated in the following ways:
基于Willans线性模型计算电机功率损失lossmotor:Calculate the motor power loss loss motor based on the Willans linear model:
pme=e·pma-pmloss,e=e0-e1·pma p me =e·p ma -p mloss , e=e 0 -e 1 ·p ma
e0=e00+e01·cm+e02·cm 2,e1=e10+e11·cm e 0 =e 00 +e 01 · cm +e 02 · cm 2 , e 1 =e 10 +e 11 · cm
pmloss=pmloss0+pmloss1·cm+pmloss2·cm 2, p mloss =p mloss0 +p mloss1 ·c m +p mloss2 ·c m 2 ,
其中,pme为电机转子表面的平均有效压力,cm为电机转子表面线速度,ηmotor为电机效率,e0,e00,e01,e02,e10,e11,pmloss0,pmloss1,pmloss2可以由实验数据经多元线性回归得到,u、i分别表示电压和电流,Te为电机额定转矩,Vr表示电机的有效体积,pma为平均有效压力,可以通过下式计算;Among them, p me is the average effective pressure on the surface of the motor rotor, cm is the linear speed of the motor rotor surface, η motor is the motor efficiency, e 0 ,e 00 ,e 01 ,e 02 ,e 10 ,e 11 , p mloss0 ,p mloss1 and p mloss2 can be obtained from the experimental data through multiple linear regression, u and i represent voltage and current respectively, T e is the rated torque of the motor, V r is the effective volume of the motor, and p ma is the average effective pressure, which can be obtained by the following formula calculate;
基于以下公式计算带排功率损失lossclu:Calculate the belt row power loss loss clu based on the following formula:
式中Tclu为由于油膜剪切应力导致的带排转矩,nclu为带排主动部分和从动部分的相对转速,h0为带排油膜厚度,num为离合器摩擦片片数,ε为离合器油膜粘度,R0为离合器外径,R1为带排有效内径;In the formula, T clu is the belt displacement torque caused by the shear stress of the oil film, n clu is the relative speed of the driving part and the driven part of the belt displacement, h 0 is the thickness of the belt displacement oil film, num is the number of clutch friction plates, and ε is the Clutch oil film viscosity, R 0 is the outer diameter of the clutch, R 1 is the effective inner diameter of the belt row;
式中ρ为润滑油密度,,Q为润滑油流量,β0为接触角,α为表面张力系数;where ρ is the lubricating oil density, Q is the lubricating oil flow rate, β 0 is the contact angle, and α is the surface tension coefficient;
基于以下公式计算平行轴齿轮功率损失lossgear:Calculate the parallel shaft gear power loss loss gear based on the following formula:
lossgear=Tgearωgear(1-ηgear)loss gear =T gear ω gear (1-η gear )
式中ηgear为平行轴齿轮传动效率,z1,z2为传动齿轮齿数,Tgear,ωgear为齿轮的传动转矩和转速;In the formula, η gear is the transmission efficiency of the parallel shaft gear, z 1 and z 2 are the number of teeth of the transmission gear, and T gear and ω gear are the transmission torque and speed of the gear;
对于行星排将其视为行星架固定的转化机构并计算其功率损失losspai:For the planetary row, it is regarded as a planetary carrier fixed transformation mechanism and its power loss loss pai is calculated:
驱动时 when driving
制动时 when braking
losspai=Tpaiωpai(1-ηpai)loss pai =T pai ω pai (1-η pai )
式中ηpai为行星排的效率,转化机构的功率损失,Pin为输入功率,ψc为转化机构的功率损失系数,为转化机构从太阳轮到齿圈的传动效率,ip为行星排的传动比,Ts,ωs分别为太阳轮的转矩和转速,Tr,ωr为齿圈的转矩和转速,Tc,ωc分别为行星架的转矩和转速。where η pai is the efficiency of the planetary row, The power loss of the conversion mechanism, P in is the input power, ψ c is the power loss coefficient of the conversion mechanism, is the transmission efficiency of the conversion mechanism from the sun gear to the ring gear, i p is the transmission ratio of the planetary row, T s , ω s are the torque and rotational speed of the sun gear, respectively, T r , ω r are the torque and rotational speed of the ring gear , T c , ω c are the torque and rotational speed of the planet carrier, respectively.
进一步地,步骤四中所述粒子群算法的目标函数具体采用以下形式:Further, the objective function of the particle swarm algorithm in step 4 specifically adopts the following form:
JPSO(c,d)=(1-λ)·JDP(c,d)+λ·Pzon(c,d)J PSO (c,d)=(1-λ)·J DP (c,d)+λ·P zon (c,d)
JPSO(c,d)为第d次迭代后第c个粒子的目标函数值,其中λ为功率损失和功率等级的加权因子,JDP(c,d)为第d次迭代第c个粒子的动态规划算法的优化结果,Pzon(c,d)为第 d次迭代第c个粒子的功率等级,由下式可得:J PSO (c, d) is the objective function value of the c-th particle after the d-th iteration, where λ is the weighting factor of power loss and power level, and J DP (c, d) is the c-th particle of the d-th iteration The optimization result of the dynamic programming algorithm of , P zon (c, d) is the power level of the c-th particle in the d-th iteration, which can be obtained by the following formula:
Pzon(c,d)=Pe1(c,d)+Pe2(c,d)P zon (c,d)=P e1 (c,d)+P e2 (c,d)
式中,Pe1(c,d),Pe2(c,d)分别为第d次迭代第c个粒子的两个电机的额定功率,In the formula, P e1 (c, d) and P e2 (c, d) are the rated powers of the two motors of the c-th particle in the d-th iteration, respectively,
根据以下关系求得最优粒子坐标也即最优的参数匹配结果:The optimal particle coordinates, that is, the optimal parameter matching result, are obtained according to the following relationship:
g(d)=F-1(JPSO.i(d))g(d)=F -1 (J PSO.i (d))
式中JPSO.i(d)为第d次 迭代全局最优粒子的目标函数值,g(d)为第d次迭代最优粒子的位置,F-1()为目标函数值与粒子位置之间的对应关系。where J PSO.i (d) is the objective function value of the global optimal particle in the d-th iteration, g(d) is the position of the optimal particle in the d-th iteration, and F -1 () is the objective function value and particle position Correspondence between.
上述本发明所提供的方法,利用粒子群算法与动态规划算法分别构建了上层、下层算法。其中,粒子群算法以粒子坐标代表待优化的系统参数,并在每个粒子下用动态规划算法作为控制策略优化算法,以系统功率损失为目标函数对耦合驱动系统的控制策略实现优化,保证了每个粒子都以最优的控制策略运行,使得到的粒子能够达到的最小功率损失,以此功率损失与功率等级进行加权求和后作为粒子群算法的目标函数,粒子群算法寻求其目标函数最小值所对应的粒子坐标即为最优的系统参数。相对于现有技术,本发明至少能够提供以下有益效果:The above-mentioned method provided by the present invention utilizes the particle swarm algorithm and the dynamic programming algorithm to construct the upper-layer and lower-layer algorithms respectively. Among them, the particle swarm algorithm uses the particle coordinates to represent the system parameters to be optimized, and uses the dynamic programming algorithm as the control strategy optimization algorithm under each particle to optimize the control strategy of the coupled drive system with the system power loss as the objective function, ensuring that Each particle runs with the optimal control strategy, so that the minimum power loss that the obtained particle can achieve, and the weighted summation of the power loss and the power level is used as the objective function of the particle swarm optimization algorithm, and the particle swarm optimization algorithm seeks its objective function. The particle coordinate corresponding to the minimum value is the optimal system parameter. Compared with the prior art, the present invention can at least provide the following beneficial effects:
1、本发明的方法优化速度快,能够有效的避免落入局部最优。1. The method of the present invention has a fast optimization speed and can effectively avoid falling into a local optimum.
2、通过使用动态规划算法作为控制策略优化算法,能够获得最优的控制策略,保证每组系统参数都能够在最优的控制效果下进行比较,且其优化结果能够为耦合装置的实际控制策略提供依据。2. By using the dynamic programming algorithm as the control strategy optimization algorithm, the optimal control strategy can be obtained, ensuring that each group of system parameters can be compared under the optimal control effect, and the optimization result can be the actual control strategy of the coupling device Provide evidence.
3、由于引入了汽车动力性作为约束条件,保证了参与寻优的系统参数均可以满足车辆的动力性要求。3. The introduction of vehicle dynamics as a constraint ensures that the parameters of the system participating in the optimization can meet the vehicle dynamics requirements.
4、优化过程同时考虑了系统参数和控制策略对于驱动系统效率发挥的影响,使优化结果更具有实际应用的意义。4. The optimization process takes into account the influence of system parameters and control strategies on the efficiency of the drive system, making the optimization results more meaningful for practical applications.
5、所采用的粒子群算法目标函数同时考虑了功率损失和功率等级,同时考虑驱动系统效率和成本两方面的影响进行优化。5. The adopted particle swarm optimization objective function considers both power loss and power level, and at the same time optimizes the drive system efficiency and cost.
附图说明Description of drawings
图1为本发明所提供方法的总体流程示意图;Fig. 1 is the overall flow schematic diagram of the method provided by the present invention;
图2为基于本发明对转矩耦合进行系统优化的效果;Fig. 2 is the effect of system optimization of torque coupling based on the present invention;
图3为基于本发明对转速耦合进行系统优化的效果。FIG. 3 shows the effect of system optimization of rotational speed coupling based on the present invention.
具体实施方式Detailed ways
下面将结合附图对本发明的技术方案进行清楚、完整地描述,显然,所描述的实施例是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The technical solutions of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are a part of the embodiments of the present invention, but not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.
本发明所提供的用于电动大巴的双电机耦合驱动系统集成优化方法,如图1所示,具体包括以下步骤:The integrated optimization method for a dual-motor coupling drive system for an electric bus provided by the present invention, as shown in Figure 1, specifically includes the following steps:
步骤一、选取驱动系统中的待优化系统参数作为粒子坐标,包括两个电机各自的额定功率和传动齿轮的传动比,并设定相应的取值范围,完成粒子群算法初始化;Step 1: Select the parameters of the system to be optimized in the drive system as the particle coordinates, including the respective rated power of the two motors and the transmission ratio of the transmission gear, and set the corresponding value range to complete the initialization of the particle swarm algorithm;
步骤二、验证所选取的粒子是否满足汽车动力性要求,保留满足要求的粒子并进入动态规划算法,对不满足要求的粒子使其跳过动态规划算法并输入粒子群算法,同时将其粒子群目标函数值取为预定值;Step 2: Verify whether the selected particles meet the requirements of vehicle dynamics, retain the particles that meet the requirements and enter the dynamic programming algorithm, and skip the dynamic programming algorithm and enter the particle swarm algorithm for the particles that do not meet the requirements. The objective function value is taken as a predetermined value;
步骤三、以驱动系统的工作模式与耦合驱动时两电机的功率分配比例作为状态参量、换挡决策与功率分配比例变化量作为决策参量,并以整个运行工况中考虑效率的电机、带排和齿轮总功率损失最小为动态规划算法目标,对保留的粒子进行控制策略优化,并计算对应的所述总功率损失;Step 3. Take the working mode of the drive system and the power distribution ratio of the two motors during coupled drive as the state parameter, the shift decision and the change in the power distribution ratio as the decision parameter, and take the motor, belt-exhaust, etc. considering the efficiency in the entire operating condition as the state parameter. The goal of the dynamic programming algorithm is to minimize the total power loss of the gear and the gear, optimize the control strategy for the retained particles, and calculate the corresponding total power loss;
步骤四、以步骤三计算得到的所述总功率损失与两电机决定的功率等级加权求和作为粒子群算法的目标函数,并对由步骤三优化后的粒子以及步骤二输入的粒子所组成的粒子群进行迭代计算,在粒子群算法满足终止条件时输出最优解;驱动系统基于最优解对应的两电机额定功率、耦合装置拓扑结构对应的齿轮传动比,提供优化控制策略;Step 4. Use the weighted summation of the total power loss calculated in step 3 and the power levels determined by the two motors as the objective function of the particle swarm algorithm, and compare the particles optimized in step 3 and the particles input in step 2. The particle swarm is iteratively calculated, and the optimal solution is output when the particle swarm algorithm meets the termination conditions; the drive system provides an optimal control strategy based on the rated power of the two motors corresponding to the optimal solution and the gear ratio corresponding to the topology of the coupling device;
步骤五、定期将步骤四得到的最优解输入步骤二,对最优解进行更新。Step 5. Regularly input the optimal solution obtained in Step 4 into Step 2 to update the optimal solution.
所述粒子的坐标与待优化参数具有相同维度,每个坐标初始值在待优化参数的取值范围内随机取值;The coordinates of the particles have the same dimension as the parameters to be optimized, and the initial value of each coordinate is randomly selected within the value range of the parameters to be optimized;
动力性约束作为本发明的算法中所考虑的重要因素,具体是指车辆动力性指标对耦合驱动系统系统参数匹配的约束,即所匹配的系统参数必须满足耦合装置的动力输出能够达到汽车动力性的需求。The dynamic constraint is an important factor considered in the algorithm of the present invention, and specifically refers to the constraint of the vehicle dynamic index on the parameter matching of the coupling drive system, that is, the matched system parameters must satisfy the power output of the coupling device to achieve the vehicle dynamic performance. demand.
汽车的动力性需求使用车辆的动力性指标和相关动力性方程表征The power requirement of the car is characterized by the vehicle power index and the related power equation
FD=Fα+FA+Ff+Fδ F D =F α +F A +F f +F δ
式中驱动转矩,为牵引力,Rtire为车轮半径,TOUT(v)为耦合装置输出转矩,ig为主减速器齿轮传动比,ηg为耦合箱输出到车轮的效率,Fα为坡度阻力,FA为空气阻力,Ff为滚动阻力,Fδ为加速阻力,M为车辆总体重量,g为重力加速度,为爬坡坡度,ρ为空气密度,A为车辆迎风面积,CD为风阻系数,v为车速,f为滚动阻力系数,δ为质量转换系数。in the formula drive torque, is the traction force, R tire is the wheel radius, T OUT (v) is the output torque of the coupling device, i g is the gear ratio of the main reducer, η g is the output efficiency of the coupling box to the wheel, F α is the slope resistance, F A is the air resistance, F f is the rolling resistance, F δ is the acceleration resistance, M is the overall weight of the vehicle, g is the gravitational acceleration, is the climbing gradient, ρ is the air density, A is the windward area of the vehicle, C D is the wind resistance coefficient, v is the vehicle speed, f is the rolling resistance coefficient, and δ is the mass conversion coefficient.
需要考虑的动力性指标有最高车速和最大爬坡度,其中最高车速可以表征高车速工况对于耦合装置输出的要求,最大爬坡度表征低车速工况对于耦合装置输出的需求。The dynamic indicators that need to be considered are the maximum speed and the maximum grade, in which the maximum speed can represent the output requirements of the coupling device in high speed conditions, and the maximum grade can represent the output requirements of the coupling device in low speed conditions.
最大爬坡度:v=v0 Maximum grade: v=v 0
最高车速: Maximum speed:
式中为满足最大爬坡度要求所需的驱动力,为满足最高车速要求所需的驱动力,为最大爬坡度,v0,vm分别为低车速和高车速的一个代表车速,可选择为最低临界车速和最高车速。in the formula The driving force required to meet the maximum grade requirement, The driving force required to meet the maximum speed requirement, is the maximum grade, v 0 , v m are respectively a representative vehicle speed of low vehicle speed and high vehicle speed, and can be selected as the minimum critical vehicle speed and the maximum vehicle speed.
耦合装置的最大输出转矩与耦合装置的拓扑结构有关。根据耦合装置在两个代表车速v0,vm下的输出转矩和车辆最大爬坡度和最高车速的需求驱动转矩可以建立动力学约束。对于耦合装置输出转矩不能满足车辆驱动需求的粒子,可以在步骤二执行中,直接将其粒子群算法的目标函数置为1000000,表示其为淘汰粒子,并跳过动态规划过程。The maximum output torque of the coupling is related to the topology of the coupling. Dynamic constraints can be established based on the output torque of the coupling device at two representative vehicle speeds v 0 , vm and the required drive torque for the vehicle's maximum gradeability and maximum vehicle speed. For the particles whose output torque of the coupling device cannot meet the driving requirements of the vehicle, the objective function of the particle swarm algorithm can be directly set to 1,000,000 in the execution of step 2, indicating that they are eliminated particles, and the dynamic programming process is skipped.
在每个粒子的一组坐标所定义的系统参数下,对整个运行工况的控制策略进行优化,将车辆运行工况划分为N个小段,每个分段点作为一个状态点,即有N+1个状态点,每个状态点的状态由两个状态参量——工作模式和功率分配比例组成,每两个状态点之间的决策由两个决策参量——换挡策略和功率分配比例变化值组成。不同的工作模式和不同的功率分配比例将组成多种状态参量,不同的换挡策略和功率分配比例变化值将组成多种决策参量。动态规划算法的目的是在于寻找最优的控制策略使整个系统的功率损失最小。Under the system parameters defined by a set of coordinates of each particle, the control strategy of the entire operating condition is optimized, and the vehicle operating condition is divided into N subsections, and each subsection point is used as a state point, that is, there are N +1 state point, the state of each state point is composed of two state parameters - working mode and power distribution ratio, and the decision between each two state points is composed of two decision parameters - shift strategy and power distribution ratio change value composition. Different working modes and different power distribution ratios will constitute a variety of state parameters, and different shifting strategies and power distribution ratio changes will constitute a variety of decision parameters. The purpose of dynamic programming algorithm is to find the optimal control strategy to minimize the power loss of the whole system.
工作模式是一个有限的离散参量,因为耦合装置的工作模式个数是有限且离散的;功率分配比例是一个连续量,因为耦合装置的功率分配比例是能够在一定范围内连续变化的。The working mode is a finite discrete parameter, because the number of working modes of the coupling device is limited and discrete; the power distribution ratio is a continuous quantity, because the power distribution ratio of the coupling device can be continuously changed within a certain range.
基于这种考虑,在本发明的一个优选实施方式中,步骤三中动态规划算法具体采用逆行寻优迭代,计算过程如下:Based on this consideration, in a preferred embodiment of the present invention, the dynamic programming algorithm in step 3 specifically adopts reverse optimization iteration, and the calculation process is as follows:
mode(n)=mode(n+1)+shift(n)mode(n)=mode(n+1)+shift(n)
k(n)=k(n+1)+Δk(n)k(n)=k(n+1)+Δk(n)
其中,mode(n),mode(n+1)分别为第n个状态和第n+1个状态的工作模式状态参量,k(n),k(n+1)为第n个状态和第n+1个状态的功率分配比例状态参量,shift(n)为第n 个状态和第n+1个状态之间的换挡决策参量,Δk(n)为第n个状态和第n+1个状态之间的功率分配比例变化量;Among them, mode(n), mode(n+1) are the working mode state parameters of the nth state and the n+1th state, respectively, and k(n), k(n+1) are the nth state and the nth state. The power distribution proportional state parameter of n+1 states, shift(n) is the shift decision parameter between the nth state and the n+1th state, Δk(n) is the nth state and the n+1th state The amount of change in the power distribution ratio between the states;
对于第n个状态,动态规划算法的目标函数为从第n个状态到最后一个状态的运行过程中整个耦合装置的总功率损失,即:For the nth state, the objective function of the dynamic programming algorithm is the total power loss of the entire coupling device during the operation from the nth state to the last state, namely:
JDP(mode(n),k(n))=min(JDP(mode(n+1),k(n+1))+loss(shift(n),Δk(n)))J DP (mode(n),k(n))=min(J DP (mode(n+1),k(n+1))+loss(shift(n),Δk(n)))
式中,JDP为相应状态对应的最小的功率损失,loss(shift(n),Δk(n))为从第n+1个状态到第n个状态各个状态参量之间决策过程产生的功率损失。In the formula, J DP is the minimum power loss corresponding to the corresponding state, and loss(shift(n), Δk(n)) is the power generated by the decision-making process between the state parameters from the n+1th state to the nth state. loss.
在本发明的一个优选实施方式中,步骤三中所述考虑效率的电机、带排和齿轮功率损失分别通过以下方式计算:In a preferred embodiment of the present invention, the motor, belt row and gear power losses considering the efficiency in step 3 are calculated in the following ways:
基于Willans线性模型计算电机功率损失lossmotor:Calculate the motor power loss loss motor based on the Willans linear model:
pme=e·pma-pmloss,e=e0-e1·pma p me =e·p ma -p mloss , e=e 0 -e 1 ·p ma
e0=e00+e01·cm+e02·cm 2,e1=e10+e11·cm e 0 =e 00 +e 01 · cm +e 02 · cm 2 , e 1 =e 10 +e 11 · cm
pmloss=pmloss0+pmloss1·cm+pmloss2·cm 2, p mloss =p mloss0 +p mloss1 ·c m +p mloss2 ·c m 2 ,
其中,pme为电机转子表面的平均有效压力,cm为电机转子表面线速度,ηmotor为电机效率,e0,e00,e01,e02,e10,e11,pmloss0,pmloss1,pmloss2可以由实验数据经多元线性回归得到,u、i分别表示电压和电流,Te为电机额定转矩,Vr表示电机的有效体积,pma为平均有效压力,可以通过下式计算;Among them, p me is the average effective pressure on the surface of the motor rotor, cm is the linear speed of the motor rotor surface, η motor is the motor efficiency, e 0 ,e 00 ,e 01 ,e 02 ,e 10 ,e 11 , p mloss0 ,p mloss1 and p mloss2 can be obtained from the experimental data through multiple linear regression, u and i represent voltage and current respectively, T e is the rated torque of the motor, V r is the effective volume of the motor, and p ma is the average effective pressure, which can be obtained by the following formula calculate;
基于以下公式计算带排功率损失lossclu:Calculate the belt row power loss loss clu based on the following formula:
式中Tclu为由于油膜剪切应力导致的带排转矩,nclu为带排主动部分和从动部分的相对转速,h0为带排油膜厚度,num为离合器摩擦片片数,ε为离合器油膜粘度,R0为离合器外径,R1为带排有效内径;In the formula, T clu is the belt displacement torque caused by the shear stress of the oil film, n clu is the relative speed of the driving part and the driven part of the belt displacement, h 0 is the thickness of the belt displacement oil film, num is the number of clutch friction plates, and ε is the Clutch oil film viscosity, R 0 is the outer diameter of the clutch, R 1 is the effective inner diameter of the belt row;
式中ρ为润滑油密度,,Q为润滑油流量,β0为接触角,α为表面张力系数;where ρ is the lubricating oil density, Q is the lubricating oil flow rate, β 0 is the contact angle, and α is the surface tension coefficient;
基于以下公式计算平行轴齿轮功率损失lossgear:Calculate the parallel shaft gear power loss loss gear based on the following formula:
lossgear=Tgearωgear(1-ηgear)loss gear =T gear ω gear (1-η gear )
式中ηgear为平行轴齿轮传动效率,z1,z2为传动齿轮齿数,Tgear,ωgear为齿轮的传动转矩和转速;In the formula, η gear is the transmission efficiency of the parallel shaft gear, z 1 and z 2 are the number of teeth of the transmission gear, and T gear and ω gear are the transmission torque and speed of the gear;
对于行星排将其视为行星架固定的转化机构并计算其功率损失losspai:For the planetary row, it is regarded as a planetary carrier fixed transformation mechanism and its power loss loss pai is calculated:
驱动时 when driving
制动时 when braking
losspai=Tpaiωpai(1-ηpai)loss pai =T pai ω pai (1-η pai )
式中ηpai为行星排的效率,转化机构的功率损失,Pin为输入功率,ψc为转化机构的功率损失系数,为转化机构从太阳轮到齿圈的传动效率,ip为行星排的传动比,Ts,ωs分别为太阳轮的转矩和转速,Tr,ωr为齿圈的转矩和转速,Tc,ωc分别为行星架的转矩和转速。where η pai is the efficiency of the planetary row, The power loss of the conversion mechanism, P in is the input power, ψ c is the power loss coefficient of the conversion mechanism, is the transmission efficiency of the conversion mechanism from the sun gear to the ring gear, i p is the transmission ratio of the planetary row, T s , ω s are the torque and rotational speed of the sun gear, respectively, T r , ω r are the torque and rotational speed of the ring gear , T c , ω c are the torque and rotational speed of the planet carrier, respectively.
在逆向寻优完成后,每个状态的最优的状态参量和每个状态之间的决策参量已经得到决定,便可以按照效率模型进行正向的计算,计算整个运行工况下,按照最优决策轨迹进行控制,耦合驱动系统的功率损失值,并将其作为最终的动态规划算法最优目标函数值JDP。After the reverse optimization is completed, the optimal state parameters of each state and the decision parameters between each state have been determined, and the forward calculation can be performed according to the efficiency model. The decision trajectory is used for control, coupling the power loss value of the drive system, and taking it as the optimal objective function value J DP of the final dynamic programming algorithm.
在本发明的一个优选实施方式中,步骤四中所述粒子群算法的目标函数具体采用以下形式:In a preferred embodiment of the present invention, the objective function of the particle swarm algorithm in step 4 specifically adopts the following form:
JPSO(c,d)=(1-λ)·JDP(c,d)+λ·Pzon(c,d)J PSO (c,d)=(1-λ)·J DP (c,d)+λ·P zon (c,d)
JPSO(c,d)为第d次迭代后第c个粒子的目标函数值,其中λ为功率损失和功率等级的加权因子,JDP(c,d)为第d次迭代第c个粒子的动态规划算法的优化结果,Pzon(c,d)为第 d次迭代第c个粒子的功率等级,由下式可得:J PSO (c, d) is the objective function value of the c-th particle after the d-th iteration, where λ is the weighting factor of power loss and power level, and J DP (c, d) is the c-th particle of the d-th iteration The optimization result of the dynamic programming algorithm of , P zon (c, d) is the power level of the c-th particle in the d-th iteration, which can be obtained by the following formula:
Pzon(c,d)=Pe1(c,d)+Pe2(c,d)P zon (c,d)=P e1 (c,d)+P e2 (c,d)
式中,Pe1(c,d),Pe2(c,d)分别为第d次迭代第c个粒子的两个电机的额定功率,In the formula, P e1 (c, d) and P e2 (c, d) are the rated powers of the two motors of the c-th particle in the d-th iteration, respectively,
计算全局最优粒子Calculate the global optimal particle
g(d)=F-1(JPSO.i(d))g(d)=F -1 (J PSO.i (d))
式中,JPSO.i(d)为第d次 迭代全局最优粒子的目标函数值,g(d)为第d次迭代最优粒子的位置;In the formula, J PSO.i (d) is the objective function value of the global optimal particle in the d-th iteration, and g(d) is the position of the optimal particle in the d-th iteration;
根据以下关系求得粒子轨迹上的最优粒子,也即最优的电机额定功率:The optimal particle on the particle trajectory, that is, the optimal motor rated power, is obtained according to the following relationship:
p(c,d)=F-1(JPSO.p(c,d))p(c,d)=F -1 (J PSO.p (c,d))
式中,JPSO.p(c,d)表示第c个粒子在经历了d次迭代之后出现过的目标函数值中的最小值,p(c,d)为JPSO.p(c,d)对应的粒子位置,F-1()为目标函数值与粒子坐标之间的对应关系。In the formula, J PSO.p (c, d) represents the minimum value of the objective function value that the c-th particle has appeared after d iterations, and p(c, d) is J PSO.p (c, d) ) corresponds to the particle position, and F -1 ( ) is the correspondence between the objective function value and the particle coordinates.
在本发明的一个优选实施方式中,根据粒子坐标位置可以进行粒子速度的迭代:In a preferred embodiment of the present invention, the particle velocity iteration can be performed according to the particle coordinate position:
式中,x(c,d)为第c个粒子在第d次迭代后的位置坐标,式中v(c,d)为第c个粒子在第d次迭代后的速度;φ表示惯性系数,表征上一循环的速度对本循环的速度的影响程度;α1,α2表示加速度系数,表征粒子受到p(c,d)和g(d)的吸引而对速度产生的影响;γ(d),γ(d)是两个[0,1]内的随机数;In the formula, x(c, d) is the position coordinate of the c-th particle after the d-th iteration, where v(c, d) is the velocity of the c-th particle after the d-th iteration; φ represents the inertia coefficient , representing the influence of the speed of the previous cycle on the speed of the current cycle; α 1 , α 2 represent the acceleration coefficient, representing the influence of the particle on the speed caused by the attraction of p(c,d) and g(d); γ(d ), γ(d) is a random number within two [0,1];
为进一步提升粒子群算法的性能,本发明将式中的φ设置为为先线性减少再保持恒定。最初设计值比较大是为了在初期尽快地进行粗略地全局扫略,确定最优值的大体位置,后期惯性系数较小是为了保证粒子能够快速地集中,其满足下式:In order to further improve the performance of particle swarm optimization, the present invention sets φ in the formula to linearly decrease first and then keep constant. The initial design value is relatively large in order to perform a rough global sweep as soon as possible in the early stage to determine the general position of the optimal value, and the small inertia coefficient in the later stage is to ensure that the particles can be concentrated quickly, which satisfies the following formula:
式中φ0,φm分别是线性变化区间的起始与终止处的惯性系数,l0为线性变化区间的终止位置。where φ 0 and φ m are the inertia coefficients at the start and end of the linear change interval, respectively, and l 0 is the end position of the linear change interval.
图2和图3示出了针对一种转矩耦合驱动系统与转速耦合驱动系统,分别运行本发明所的算法所达到的优化效果,可以看出对不同拓扑结构本发明均能提供符合要求的优化策略。Fig. 2 and Fig. 3 show the optimization effect achieved by running the algorithm of the present invention for a torque coupled drive system and a rotational speed coupled drive system respectively. It can be seen that the present invention can provide satisfactory performance for different topology structures Optimization Strategy.
应理解,本发明实施例中各步骤的序号的大小并不意味着执行顺序的先后,各过程的执行顺序应以其功能和内在逻辑确定,而不应对本发明实施例的实施过程构成任何限定。It should be understood that the size of the sequence numbers of the steps in the embodiments of the present invention does not imply the sequence of execution, and the execution sequence of each process should be determined by its functions and internal logic, and should not constitute any limitation to the implementation process of the embodiments of the present invention .
尽管已经示出和描述了本发明的实施例,对于本领域的普通技术人员而言,可以理解在不脱离本发明的原理和精神的情况下可以对这些实施例进行多种变化、修改、替换和变型,本发明的范围由所附权利要求及其等同物限定。Although embodiments of the present invention have been shown and described, it will be understood by those skilled in the art that various changes, modifications, and substitutions can be made in these embodiments without departing from the principle and spirit of the invention and modifications, the scope of the present invention is defined by the appended claims and their equivalents.
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