CN107878445A - A kind of energy-optimised management method of hybrid vehicle for considering cell performance decay - Google Patents
A kind of energy-optimised management method of hybrid vehicle for considering cell performance decay Download PDFInfo
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Abstract
本发明公开了一种考虑电池性能衰减的混合动力汽车能量优化管理方法,包括以下步骤:根据中国城市典型循环工况制定均衡考虑燃油消耗和电池性能衰减的针对电量保持型混合动力汽车能量管理优化控制策略,以电池功率为控制变量,电池荷电状态(SOC)为状态变量,引入权重因子,把每阶段的燃油消耗成本与电池性能衰减成本、电量维持成本总和作为目标函数,形成全局优化控制问题,利用离散动态规划算法进行求解;最后根据优化结果提取可用于实车的控制规则。与现有技术相比,本发明在保证燃油经济性的基础上,能够有效减少电池内阻增加,提高电池峰值功率和寿命,有利于提高车辆的动力性、降低车辆使用总成本。
The invention discloses a hybrid electric vehicle energy optimization management method considering battery performance attenuation. The control strategy takes the battery power as the control variable, the battery state of charge (SOC) as the state variable, introduces a weight factor, and takes the sum of fuel consumption cost, battery performance attenuation cost, and power maintenance cost at each stage as the objective function to form a global optimal control The discrete dynamic programming algorithm is used to solve the problem; finally, the control rules that can be used in real vehicles are extracted according to the optimization results. Compared with the prior art, on the basis of ensuring fuel economy, the present invention can effectively reduce the increase of internal resistance of the battery, increase the peak power and life of the battery, and is beneficial to improving the power of the vehicle and reducing the total cost of the vehicle.
Description
技术领域technical field
本发明属于混合动力汽车能量管理技术领域,特别涉及一种考虑电池性能衰减的混合动力汽车能量优化管理方法。The invention belongs to the technical field of energy management of hybrid electric vehicles, and in particular relates to an energy optimization management method of hybrid electric vehicles considering battery performance attenuation.
背景技术Background technique
在全球能源紧张、环境保护意识日益增长的时代,再加上汽车工业的发展,传统内燃机汽车由于其高污染和高能源消耗已经不能满足当前时代的要求,节能与新能源汽车的发展迫在眉睫。由于新能源汽车中纯电动汽车电池续驶里程、能量密度等技术限制有待突破,当前混合动力汽车正逐渐受到汽车开发商和消费者的青睐。混合动力汽车是将发动机、电机以及蓄电池通过控制系统组合的一种车辆,结合了电动汽车和传统内燃机汽车的优点,具有低能源消耗、动力性好的优点。In the era of global energy shortage and increasing awareness of environmental protection, coupled with the development of the automobile industry, traditional internal combustion engine vehicles can no longer meet the requirements of the current era due to their high pollution and high energy consumption. The development of energy-saving and new energy vehicles is imminent. Due to the technical limitations of pure electric vehicle battery mileage and energy density in new energy vehicles, the current hybrid vehicles are gradually being favored by vehicle developers and consumers. A hybrid vehicle is a vehicle that combines the engine, motor and battery through a control system. It combines the advantages of electric vehicles and traditional internal combustion engine vehicles, and has the advantages of low energy consumption and good power.
混合动力系统由多个能量源构成,多个能量源和动力系统各部件通过相互配合实现不同的工作模式,从而达到车辆的整体性能最优。能量管理策略是混合动力整车控制的核心内容,是实现整车性能的关键。当前的能量优化管理控制策略主要集中在如何通过性能指标和优化策略的选取来达到燃油消耗最小,很少考虑控制策略对车载电池的性能衰减的影响。混合动力汽车工作时,动力电池主要是弥补发动机功率相对整车需求功率的不足,即起到“削峰填谷”的作用,电池频繁工作在充放电状态,会导致其内阻增加,功率降低,影响整车的动力性和经济性。研究表明,燃油消耗与电池性能衰减速度是矛盾的关系,因此在能量管理优化控制策略中协调油耗与电池性能衰减的关系对于提高车辆运行过程中的动力性和燃油经济性、降低车辆使用总成本是十分必要的。电池的性能衰减主要表现为容量衰减和内阻增加,对于纯电动和插电式混合动力汽车,电池的实际容量直接影响到其续驶里程的多少,因此电池性能模型多为容量衰减模型。如中国专利公布号为CN104627167A,公布日为2015-5-20,公开了一种考虑电池寿命的混合动力车能量管理方法,该方法以油耗成本和电池容量衰减成本之和作为控制策略成本函数,可以有效提高电池寿命,而未考虑由于混合动力汽车工作在电量维持模式,其电池为功率型电池,电池容量衰减模型并不适用于混合动力汽车的情况。The hybrid power system is composed of multiple energy sources. Multiple energy sources and components of the power system cooperate with each other to achieve different working modes, so as to achieve the best overall performance of the vehicle. Energy management strategy is the core content of hybrid vehicle control and the key to realize vehicle performance. The current energy optimization management control strategy mainly focuses on how to achieve the minimum fuel consumption through the selection of performance indicators and optimization strategies, and rarely considers the impact of the control strategy on the performance degradation of the vehicle battery. When a hybrid electric vehicle is working, the power battery is mainly to make up for the lack of engine power relative to the vehicle's demanded power, that is, to play the role of "shaving peaks and filling valleys". Frequent work of the battery in the state of charging and discharging will lead to an increase in its internal resistance and a decrease in power , affecting the power and economy of the vehicle. Studies have shown that there is a contradictory relationship between fuel consumption and battery performance decay speed, so coordinating the relationship between fuel consumption and battery performance decay in the energy management optimization control strategy is crucial to improving the power and fuel economy during vehicle operation and reducing the total cost of vehicle use. is very necessary. The performance attenuation of the battery is mainly manifested as capacity attenuation and internal resistance increase. For pure electric and plug-in hybrid electric vehicles, the actual capacity of the battery directly affects the driving range, so the battery performance model is mostly a capacity attenuation model. For example, the Chinese patent publication number is CN104627167A, and the publication date is 2015-5-20, which discloses a hybrid electric vehicle energy management method considering battery life, which uses the sum of fuel consumption cost and battery capacity decay cost as the control strategy cost function, It can effectively improve the battery life, but does not consider that because the hybrid electric vehicle works in the power maintenance mode, its battery is a power battery, and the battery capacity decay model is not suitable for the situation of the hybrid electric vehicle.
此外,混合动力控制策略一般可分为规则控制策略和优化控制策略,虽然规则控制策略经常应用于实时控制,但其规则的确定由于没有准确的数学模型往往需要根据经验或直观性观察进行反复调试而确定,所以其性能水平对规则的调整依赖性非常大,而国内研究的性能优异的动态规划全局优化管理策略由于是进行离线优化不能直接应用于实时控制。In addition, hybrid control strategies can generally be divided into rule control strategies and optimal control strategies. Although rule control strategies are often used in real-time control, the determination of the rules often requires repeated debugging based on experience or intuitive observations due to the lack of accurate mathematical models. Therefore, its performance level is very dependent on the adjustment of rules, and the dynamic programming global optimization management strategy with excellent performance in domestic research cannot be directly applied to real-time control because it performs offline optimization.
发明内容Contents of the invention
为解决上述现有技术存在的不足,本发明提供了一种考虑电池性能衰减的混合动力汽车能量优化管理方法,均衡考虑燃油消耗和电池性能衰减的针对电量保持型混合动力汽车,其可在实现节油的同时保证车辆的动力性、有效提高电池性能和寿命、降低车辆使用总成本。In order to solve the above-mentioned deficiencies in the prior art, the present invention provides a hybrid electric vehicle energy optimization management method that considers battery performance attenuation, and balances consideration of fuel consumption and battery performance attenuation for battery-maintenance hybrid electric vehicles. While saving fuel, the power of the vehicle is guaranteed, the performance and life of the battery are effectively improved, and the total cost of the vehicle is reduced.
为实现上述目的,本发明提出的一种考虑电池性能衰减的混合动力汽车能量优化管理方法主要包括以下步骤:In order to achieve the above object, a kind of hybrid electric vehicle energy optimization management method that considers battery performance attenuation that the present invention proposes mainly comprises the following steps:
(1)根据中国城市典型循环工况开展全局优化得到混合动力系统发动机和电池工作状态随车速和整车需求功率的变化结果,具体包括:(1) Carry out global optimization according to the typical cycle conditions of Chinese cities to obtain the results of changes in the working state of the engine and battery of the hybrid system with the speed of the vehicle and the required power of the vehicle, including:
①把中国城市典型循环工况划分为不同的阶段,通常以秒为单位,根据每一阶段的速度和整车功率需求,计算每一阶段的燃油消耗成本、电池性能衰减成本和电量维持成本总和;①Divide the typical cycle conditions of Chinese cities into different stages, usually in seconds, and calculate the sum of fuel consumption cost, battery performance attenuation cost and power maintenance cost of each stage according to the speed and vehicle power demand of each stage ;
②建立多目标控制模型,所述多目标控制模型包括目标函数和约束条件,采用动态规划算法获得满足优化目标的最优控制量;② establish a multi-objective control model, the multi-objective control model includes objective functions and constraints, and adopts a dynamic programming algorithm to obtain the optimal control quantity that satisfies the optimization target;
所述目标函数为:The objective function is:
式中,α为权重因子,取值为0~1,取1时为只考虑燃油经济性的控制策略,取0时为只考虑电池性能衰减的控制策略;M为度量常数,保证燃油消耗成本和电池性能衰减成本有相同的量级;xk为状态变量;uk为控制变量;In the formula, α is a weight factor, with a value of 0 to 1. When it is 1, it is a control strategy that only considers fuel economy, and when it is 0, it is a control strategy that only considers battery performance attenuation; M is a measurement constant, which ensures that fuel consumption costs It has the same magnitude as the cost of battery performance decay; x k is the state variable; u k is the control variable;
xk=g[xk-1,uk-1]x k =g[x k-1 , u k-1 ]
g为状态转移函数,具体为:g is the state transition function, specifically:
SOCk为k时刻电池的荷电状态,Ik+1为k时刻电池的电流,CE(xk,uk)为k时刻燃油消耗成本;CH(xk,uk)为k时刻电池性能衰减成本;CSOC(xk)为k时刻电量维持成本;SOC k is the state of charge of the battery at time k, I k+1 is the current of the battery at time k, C E (x k , u k ) is the fuel consumption cost at time k; CH (x k , u k ) is the Battery performance attenuation cost; C SOC (x k ) is the power maintenance cost at time k;
所述k时刻燃油消耗成本CE(xk,uk)通过下式求取:The fuel consumption cost C E (x k , u k ) at time k is calculated by the following formula:
CE(xk,uk)=feng(k)+Keqfbatt(k)C E (x k ,u k )=f eng (k)+K eq f batt (k)
式中,feng(k)为k时刻发动机燃油消耗量,由发动机工作点确定,发动机工作点由确定发动机需求功率后查取发动机最优工作曲线获得,每一阶段发动机需求功率与电池功率的关系为:In the formula, f eng (k) is the engine fuel consumption at time k, which is determined by the engine operating point. The engine operating point is obtained by checking the optimal operating curve of the engine after determining the engine demand power. The relationship between the engine demand power and the battery power in each stage The relationship is:
Preq(k)=Peng(k)+Pbatt(k)P req (k) = P eng (k) + P batt (k)
式中,Preq(k)为k时刻的整车需求功率,Peng(k)为k时刻的发动机功率,Pbatt(k)为k时刻的电池功率;fbatt(k)为k时刻电池提供的能量,Keq为等效燃油系数;In the formula, P req (k) is the vehicle demand power at time k, P eng (k) is the engine power at time k, P batt (k) is the battery power at time k; f batt (k) is the battery power at time k The energy provided, K eq is the equivalent fuel oil coefficient;
所述k时刻电池性能衰减成本CH(xk,uk)通过下式求取:The battery performance attenuation cost CH (x k , u k ) at time k is calculated by the following formula:
CH(xk,uk)=ΔR(k)=a(I)SOC(k)2+b(I)SOC(k)+c(I) CH (x k , u k )=ΔR(k)=a(I)SOC(k) 2 +b(I)SOC(k)+c(I)
a(I)=A1I2+B1I+C1 a(I)=A 1 I 2 +B 1 I+C 1
b(I)=A2I+B2 b(I)=A 2 I+B 2
c(I)=A3I3+B3I2+C3I+D3 c(I)=A 3 I 3 +B 3 I 2 +C 3 I+D 3
式中,ΔR(k)为k时刻的电池内阻增长值,SOC为电池k时刻的荷电状态,A1、B1、C1、A2、B2、A3、B3、C3、D3为利用最小二乘法结合特定电池的不同电流对应的恒流充放电工况实验数据拟合得到的各项系数;In the formula, ΔR(k) is the battery internal resistance growth value at time k, SOC is the state of charge of the battery at time k, A 1 , B 1 , C 1 , A 2 , B 2 , A 3 , B 3 , C 3 , D 3 is the various coefficients obtained by fitting the experimental data of constant current charging and discharging conditions corresponding to different currents of a specific battery by using the least square method;
所述k时刻电量维持成本CSOC(xk)通过下式求取:The power maintenance cost C SOC (x k ) at time k is obtained by the following formula:
CSOC(xk)=αsoc(SOC(k)-SOCcs)2 C SOC (x k )=α soc (SOC(k)-SOC cs ) 2
式中,αsoc为常数,代表惩罚系数,SOC为电池k时刻的荷电状态,SOCcs为电池的荷电状态控制阈值;In the formula, α soc is a constant, which represents the penalty coefficient, SOC is the state of charge of the battery at time k, and SOC cs is the control threshold of the state of charge of the battery;
所述约束条件为:The constraints are:
SOCmin≤SOC(k)≤SOCmax SOC min ≤ SOC(k) ≤ SOC max
所述最优控制量为电池应提供的功率;The optimal control amount is the power that the battery should provide;
利用动态规划求解出在整个综合测试工况内每一步的最优控制量,步长一般取为1s,即每一时刻电池应提供的功率;Use dynamic programming to solve the optimal control amount of each step in the entire comprehensive test condition. The step size is generally taken as 1s, which is the power that the battery should provide at each moment;
(2)对基于动态规划的优化结果进行控制规则提取,具体为:(2) Extract control rules from the optimization results based on dynamic programming, specifically:
①提取模式切换规则,确定混合动力系统纯电动模式与混合动力模式的切换规则;① Extract the mode switching rules, and determine the switching rules between the pure electric mode and the hybrid mode of the hybrid power system;
②混合动力模式下,根据全局优化结果中的车速、整车需求功率、电池荷电状态对混合动力模式下的电池需求功率进行拟合,得到发动机工作点、电池需求功率与整车运行状态之间的关系,从而确定实车中的节气门控制和电机控制。② In the hybrid power mode, according to the vehicle speed, vehicle power demand, and battery charge state in the global optimization results, the battery power demand in the hybrid power mode is fitted, and the relationship between the engine operating point, the battery demand power and the vehicle operating state is obtained. The relationship between them can determine the throttle control and motor control in the real vehicle.
与现有技术相比,本发明具有以下优点:Compared with the prior art, the present invention has the following advantages:
(1)本发明均衡考虑了燃油经济性和电池性能衰减,将电池性能衰减成本加入目标函数,引入权重因子对两种成本进行协调控制,在保证燃油消耗变化不大的情况下,提高电池性能。(1) The present invention balances fuel economy and battery performance attenuation, adds the cost of battery performance attenuation to the objective function, and introduces a weight factor to coordinate and control the two costs, thereby improving battery performance while ensuring little change in fuel consumption .
(2)本发明用电池内阻增长值代表电池性能衰减程度,考虑了电池内阻增加导致电池峰值功率降低从而降低混合动力汽车的动力性的情况,设计的能量管理优化控制策略在油耗成本增加不大的基础上,使得内阻增加最小,避免电池功率降低过多影响车辆动力性,提高电池寿命降低车辆使用总成本。(2) The present invention uses the battery internal resistance increase value to represent the battery performance attenuation degree, considering the situation that the battery internal resistance increases and causes the peak power of the battery to decrease thereby reducing the dynamic performance of the hybrid electric vehicle, the energy management optimization control strategy of the design increases the cost of fuel consumption On a small basis, the increase in internal resistance is minimized, avoiding excessive reduction in battery power that affects vehicle dynamics, improving battery life and reducing the total cost of vehicle use.
(3)本发明基于优化结果提取控制规则,可以实车应用。(3) The present invention extracts control rules based on optimization results, which can be applied to real vehicles.
附图说明Description of drawings
图1为本发明的流程示意图。Fig. 1 is a schematic flow chart of the present invention.
图2为本发明的根据优化结果提取控制规则流程图。Fig. 2 is a flow chart of extracting control rules according to the optimization results of the present invention.
具体实施方式Detailed ways
下面结合附图和具体实施方式对本发明做进一步说明。The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.
(1)基于中国城市典型循环工况开展全局优化得到混合动力系统发动机和电池工作状态随车速和整车需求功率的变化结果,具体包括:(1) Based on the overall optimization of the typical cycle conditions in Chinese cities, the results of the changes in the working state of the engine and battery of the hybrid system with the speed of the vehicle and the required power of the vehicle are obtained, including:
①把中国城市典型循环工况划分为不同的阶段,通常以秒为单位,根据每一阶段的速度和整车功率需求,计算每一阶段的燃油消耗成本、电池性能衰减成本和电量维持成本总和;①Divide the typical cycle conditions of Chinese cities into different stages, usually in seconds, and calculate the sum of fuel consumption cost, battery performance attenuation cost and power maintenance cost of each stage according to the speed and vehicle power demand of each stage ;
②建立多目标控制模型,所述多目标控制模型包括目标函数和约束条件,采用动态规划算法获得满足优化目标的最优控制量;2. Establish a multi-objective control model, the multi-objective control model includes an objective function and a constraint condition, and adopts a dynamic programming algorithm to obtain the optimal control quantity satisfying the optimization objective;
所述目标函数为:The objective function is:
式中,α为权重因子,取值为0~1,取1时为只考虑燃油经济性的控制策略,取0时为只考虑电池性能衰减的控制策略;M为度量常数,保证燃油消耗成本和电池性能衰减成本有相同的量级;xk为状态变量;uk为控制变量;In the formula, α is a weight factor, with a value of 0 to 1. When it is 1, it is a control strategy that only considers fuel economy, and when it is 0, it is a control strategy that only considers battery performance attenuation; M is a measurement constant, which ensures that fuel consumption costs It has the same magnitude as the cost of battery performance decay; x k is the state variable; u k is the control variable;
xk=g[xk-1,uk-1]x k =g[x k-1 , u k-1 ]
g为状态转移函数,具体为:g is the state transition function, specifically:
SOCk为k时刻电池的荷电状态,Ik+1为k时刻电池的电流,CE(xk,uk)为k时刻燃油消耗成本;CH(xk,uk)为k时刻电池性能衰减成本;CSOC(xk)为k时刻电量维持成本;SOC k is the state of charge of the battery at time k, I k+1 is the current of the battery at time k, C E (x k , u k ) is the fuel consumption cost at time k; CH (x k , u k ) is the Battery performance attenuation cost; C SOC (x k ) is the power maintenance cost at time k;
所述k时刻燃油消耗成本CE(xk,uk)通过下式求取:The fuel consumption cost C E (x k , u k ) at time k is calculated by the following formula:
CE(xk,uk)=feng(k)+Keqfbatt(k)C E (x k ,u k )=f eng (k)+K eq f batt (k)
式中,feng(k)为k时刻发动机燃油消耗量,,由发动机工作点确定,发动机工作点由确定发动机需求功率后查取发动机最优工作曲线获得,每一阶段发动机需求功率与电池功率的关系为:In the formula, f eng (k) is the fuel consumption of the engine at time k, which is determined by the engine operating point. The engine operating point is obtained by checking the optimal operating curve of the engine after determining the required power of the engine. The required power of the engine and the power of the battery in each stage The relationship is:
Preq(k)=Peng(k)+Pbatt(k)P req (k) = P eng (k) + P batt (k)
式中,Preq(k)为k时刻的整车需求功率,Peng(k)为k时刻发动机提供的功率,Pbatt(k)为k时刻电池提供的功率;fbatt(k)为k时刻电池提供的能量,Keq为等效燃油系数;In the formula, P req (k) is the required power of the vehicle at time k, P eng (k) is the power provided by the engine at time k, P batt (k) is the power provided by the battery at time k; f batt (k) is k The energy provided by the battery at all times, K eq is the equivalent fuel coefficient;
所述k时刻电池性能衰减成本CH(xk,uk)通过下式求取:The battery performance attenuation cost CH (x k , u k ) at time k is calculated by the following formula:
CH(xk,uk)=ΔR(k)=a(I)SOC2+b(I)SIC+c(I) CH (x k , u k )=ΔR(k)=a(I)SOC 2 +b(I)SIC+c(I)
a(I)=A1I2+B1I+C1 a(I)=A 1 I 2 +B 1 I+C 1
b(I)=A2I+B2 b(I)=A 2 I+B 2
c(I)=A3I3+B3I2+G3I+D3 c(I)=A 3 I 3 +B 3 I 2 +G 3 I+D 3
式中,ΔR(k)为k时刻的电池内阻增长值,SOC为电池k时刻的荷电状态,A1、B1、C1、A2、B2、A3、B3、C3、D3为利用最小二乘法结合特定电池的不同电流对应的恒流充放电工况实验数据拟合得到的各项系数;In the formula, ΔR(k) is the battery internal resistance growth value at time k, SOC is the state of charge of the battery at time k, A 1 , B 1 , C 1 , A 2 , B 2 , A 3 , B 3 , C 3 , D 3 is the various coefficients obtained by fitting the experimental data of constant current charging and discharging conditions corresponding to different currents of a specific battery by using the least square method;
所述k时刻电量维持成本CSOC(xk)通过下式求取:The power maintenance cost C SOC (x k ) at time k is obtained by the following formula:
CSOC(xk)=αsoc(SOC-SOCcs)2 C SOC (x k )=α soc (SOC-SOC cs ) 2
式中,αsoc为常数,代表惩罚系数,SOC为电池k时刻的荷电状态,SOCcs为电池的荷电状态控制阈值;In the formula, α soc is a constant, which represents the penalty coefficient, SOC is the state of charge of the battery at time k, and SOC cs is the control threshold of the state of charge of the battery;
所述约束条件为:The constraints are:
SOCmin≤SOC(k)≤SOCmax SOC min ≤ SOC(k) ≤ SOC max
式中,SOC(k)为电池k时刻的荷电状态;In the formula, SOC(k) is the state of charge of the battery at time k;
所述最优控制量为电池应提供的功率;The optimal control amount is the power that the battery should provide;
将全局优化的控制问题转换为在一定约束条件下求解一系列最小值问题,根据Bellman最优化原理写出递推关系:The control problem of global optimization is transformed into solving a series of minimum value problems under certain constraints, and the recurrence relation is written according to the Bellman optimization principle:
利用动态规划方法求解,将求解过程控制在控制变量的约束范围及状态变量的约束范围内,分别把这两个范围定义为:容许控制集和可达状态集,如下所示:Use the dynamic programming method to solve the problem, control the solution process within the constraint range of the control variable and the state variable, and define these two ranges as: allowable control set and reachable state set, as follows:
Peng_min(k)≤Peng(k)≤Peng_max(k)P eng_min (k)≤P eng (k)≤P eng_max (k)
Pbatt_min(k)≤Pbatt(k)≤Pbatt_max(k)P batt_min (k)≤P batt (k)≤P batt_max (k)
SOCmin≤SOC(k)≤SOCmax SOC min ≤ SOC(k) ≤ SOC max
式中,Peng(k)为k时刻发动机提供的功率,Pbatt(k)为k时刻电池提供的功率,SOC(k)为电池k时刻的荷电状态;In the formula, P eng (k) is the power provided by the engine at time k, P batt (k) is the power provided by the battery at time k, and SOC(k) is the state of charge of the battery at time k;
首先为逆向计算,即从N时刻开始到第一时刻结束。在容许状态集里对控制变量等分离散化,以k时刻u(k)、ui(k)为例,根据状态变量的传递方程:The first is the reverse calculation, that is, from the time N to the end of the first time. Discretize the control variables equally in the allowable state set, taking u(k) and u i (k) at time k as an example, according to the transfer equation of the state variables:
可计算出SOC(k+1)、SOCi(k+1),插值得出与SOC(k+1)、SOCi(k+1)相对应的性能指标J(k+1),Ji(k+1)。其中u(k),ui(k)的k阶段的C(k)、Ci(k)可通过计算得出,然后取C(k)+J(k+1)、Ci(k)+Ji(k+1)的最小值,并取得最小值相对应的控制变量,即为该阶段最优控制变量。其余阶段同理,根据性能目标函数递推方程逆向迭代上述内容直到在容许控制集内的取点结束。SOC(k+1), SOC i (k+1) can be calculated, interpolated to obtain performance indicators J(k+1), J i corresponding to SOC(k+1), SOC i (k+1) (k+1). Among them u(k), C(k) and C i (k) of stage k of u i (k) can be obtained by calculation, and then take C(k)+J(k+1), C i (k) +J i (k+1), and obtain the control variable corresponding to the minimum value, which is the optimal control variable at this stage. The rest of the stages are the same, according to the recursive equation of the performance objective function, iterate the above content in reverse until the point in the allowable control set ends.
其次采用正向计算,即从第一时刻开始到N时刻结束。已知初始值SOC0,以逆向结束的结果为已知数据,分别通过插值获得各个时刻的最优控制量,至此求得了此工况下的能量管理优化策略。Secondly, forward calculation is adopted, that is, from the first moment to the end of N moment. The initial value SOC 0 is known, and the result of the reverse end is known data, and the optimal control quantity at each time is obtained through interpolation respectively, so far the energy management optimization strategy under this working condition is obtained.
(2)对基于动态规划的优化结果进行控制规则提取,具体为:(2) Extract control rules from the optimization results based on dynamic programming, specifically:
①提取模式切换规则,确定混合动力系统纯电动模式与混合动力模式的切换规则;① Extract the mode switching rules, and determine the switching rules between the pure electric mode and the hybrid mode of the hybrid power system;
②混合动力模式下,根据全局优化结果中的车速、整车需求功率、电池荷电状态对混合动力模式下的电池需求功率进行拟合,得到发动机工作点、电池需求功率与整车运行状态之间的关系,从而确定实车中的节气门控制和电机控制。② In the hybrid power mode, according to the vehicle speed, vehicle power demand, and battery charge state in the global optimization results, the battery power demand in the hybrid power mode is fitted, and the relationship between the engine operating point, the battery demand power and the vehicle operating state is obtained. The relationship between them can determine the throttle control and motor control in the real vehicle.
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