CN107171035B - Lithium-ion battery charging method - Google Patents
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- 238000007600 charging Methods 0.000 title claims abstract description 138
- 238000000034 method Methods 0.000 title claims abstract description 57
- HBBGRARXTFLTSG-UHFFFAOYSA-N Lithium ion Chemical compound [Li+] HBBGRARXTFLTSG-UHFFFAOYSA-N 0.000 title claims abstract description 23
- 229910001416 lithium ion Inorganic materials 0.000 title claims abstract description 23
- 238000005457 optimization Methods 0.000 claims abstract description 33
- 230000008878 coupling Effects 0.000 claims abstract description 21
- 238000010168 coupling process Methods 0.000 claims abstract description 21
- 238000005859 coupling reaction Methods 0.000 claims abstract description 21
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- 238000013528 artificial neural network Methods 0.000 claims abstract description 16
- 238000012546 transfer Methods 0.000 claims abstract description 13
- 230000008569 process Effects 0.000 claims description 22
- 238000010277 constant-current charging Methods 0.000 claims description 21
- 230000010287 polarization Effects 0.000 claims description 18
- 238000013461 design Methods 0.000 claims description 12
- 238000011156 evaluation Methods 0.000 claims description 5
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- 238000002474 experimental method Methods 0.000 abstract description 4
- 230000006870 function Effects 0.000 description 4
- 238000004364 calculation method Methods 0.000 description 3
- 238000010280 constant potential charging Methods 0.000 description 3
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- H—ELECTRICITY
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- H01M—PROCESSES OR MEANS, e.g. BATTERIES, FOR THE DIRECT CONVERSION OF CHEMICAL ENERGY INTO ELECTRICAL ENERGY
- H01M10/00—Secondary cells; Manufacture thereof
- H01M10/42—Methods or arrangements for servicing or maintenance of secondary cells or secondary half-cells
- H01M10/44—Methods for charging or discharging
- H01M10/443—Methods for charging or discharging in response to temperature
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01M—PROCESSES OR MEANS, e.g. BATTERIES, FOR THE DIRECT CONVERSION OF CHEMICAL ENERGY INTO ELECTRICAL ENERGY
- H01M10/00—Secondary cells; Manufacture thereof
- H01M10/42—Methods or arrangements for servicing or maintenance of secondary cells or secondary half-cells
- H01M10/44—Methods for charging or discharging
- H01M10/446—Initial charging measures
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01M—PROCESSES OR MEANS, e.g. BATTERIES, FOR THE DIRECT CONVERSION OF CHEMICAL ENERGY INTO ELECTRICAL ENERGY
- H01M10/00—Secondary cells; Manufacture thereof
- H01M10/42—Methods or arrangements for servicing or maintenance of secondary cells or secondary half-cells
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- H01M—PROCESSES OR MEANS, e.g. BATTERIES, FOR THE DIRECT CONVERSION OF CHEMICAL ENERGY INTO ELECTRICAL ENERGY
- H01M10/00—Secondary cells; Manufacture thereof
- H01M10/42—Methods or arrangements for servicing or maintenance of secondary cells or secondary half-cells
- H01M10/48—Accumulators combined with arrangements for measuring, testing or indicating the condition of cells, e.g. the level or density of the electrolyte
- H01M10/486—Accumulators combined with arrangements for measuring, testing or indicating the condition of cells, e.g. the level or density of the electrolyte for measuring temperature
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Abstract
Description
技术领域technical field
本发明涉及电池技术领域,特别涉及一种锂离子电池的充电方法。The invention relates to the technical field of batteries, in particular to a charging method for lithium ion batteries.
背景技术Background technique
锂离子电池在二次电池中拥有电池电压高、比容量大、自放电效应低,循环寿命较长、没有记忆效应的优势,是应用于可携带电子设备和电动汽车中最优秀的二次电池种类。但锂离子电池也有着容易过充,老化明显等缺点,使用时存在一定安全问题,在工作过程中必须科学有效地把控电池参数,设计合适的充电策略,才能保证电池安全高效地运行。Lithium-ion batteries have the advantages of high battery voltage, large specific capacity, low self-discharge effect, long cycle life, and no memory effect in secondary batteries. They are the best secondary batteries used in portable electronic devices and electric vehicles. type. However, lithium-ion batteries also have shortcomings such as easy overcharging and obvious aging, and there are certain safety issues when using them. In the process of work, it is necessary to scientifically and effectively control battery parameters and design a suitable charging strategy to ensure safe and efficient operation of the battery.
电池的充电策略是一个综合性的问题,为了增加充电的效率,要提高充电电流;大的充电电流又会导致电池内极化现象增加,加快电池循环的老化速率。因此,充电时间、充电效率、循环寿命等性能可看作充电过程的一组权衡,对于充电策略,要做到全方面提高以上充电性能具有设计上的难度。The charging strategy of the battery is a comprehensive issue. In order to increase the charging efficiency, the charging current must be increased; a large charging current will lead to an increase in the internal polarization of the battery and accelerate the aging rate of the battery cycle. Therefore, charging time, charging efficiency, and cycle life can be regarded as a set of trade-offs in the charging process. For charging strategies, it is difficult to design to improve the above charging performance in all aspects.
目前最常用的二次电池充电方法是恒流恒压充电。但由于恒流充电过程中,电池承受大电流的能力逐渐降低,热效应也逐渐增大,简单地进行一段式充电在电池安全和能量效率等考量上有缺陷,因此多阶段恒流充电的概念被提出。这种方法是将充电过程划分为多个阶段,尽量让每个阶段的恒流充电电流大小适应当前电池内最大可接受充电电流的大小。因此,多个阶段的电流是逐渐减小的,来达到保证充电速率的同时保护电池安全的目的。研究显示,多阶段恒流充电的策略相比传统恒流恒压充电具有延长电池循环寿命的优点。实施多阶段恒流充电方法需要设计整个过程的阶段数、阶段电流大小和持续时间,据调研,目前对多阶段恒流策略的设计多是通过经验实现的。但是,这种经验的数值设计不符合电池种类繁多,性能指标参差不齐的应用现状,也就不能满足节能减耗、提高充电速率等要求。The most commonly used secondary battery charging method is constant current and constant voltage charging. However, during the constant current charging process, the battery's ability to withstand large currents gradually decreases, and the thermal effect gradually increases. Simply performing one-stage charging has defects in battery safety and energy efficiency. Therefore, the concept of multi-stage constant current charging is rejected. propose. This method is to divide the charging process into multiple stages, and try to make the constant current charging current in each stage adapt to the maximum acceptable charging current in the current battery. Therefore, the current in multiple stages is gradually reduced to achieve the purpose of ensuring the charging rate while protecting the safety of the battery. Studies have shown that the strategy of multi-stage constant current charging has the advantage of prolonging the battery cycle life compared with traditional constant current and constant voltage charging. The implementation of the multi-stage constant current charging method requires the design of the number of stages, the magnitude of the stage current, and the duration of the entire process. According to research, the current design of the multi-stage constant current strategy is mostly realized through experience. However, this empirical numerical design does not meet the application status quo of a wide variety of batteries and uneven performance indicators, and cannot meet the requirements of energy saving, consumption reduction, and charging rate improvement.
发明内容Contents of the invention
本发明要解决的技术问题是为了克服现有技术中锂离子电池的充电方式要么采用恒流充电,要么通过经验设计多阶段恒流充电的数值致使不能满足节能减耗、提高充电速率等要求的缺陷,提供一种锂离子电池的充电方法。The technical problem to be solved by the present invention is to overcome that the charging method of lithium-ion batteries in the prior art either adopts constant current charging, or designs the value of multi-stage constant current charging through experience so that it cannot meet the requirements of energy saving, consumption reduction, and charging rate improvement. The invention provides a method for charging a lithium-ion battery.
本发明是通过下述技术方案来解决上述技术问题:The present invention solves the above technical problems through the following technical solutions:
一种锂离子电池的充电方法,其特点在于,所述充电方法包括以下步骤:A charging method for a lithium-ion battery, characterized in that the charging method may further comprise the steps:
S1、通过神经网络建立锂离子电池的等效电路模型;所述神经网络的输入参数包括电池温度和不同电池温度下的电池荷电状态数据,输出参数包括等效电路模型中的元件参数;S 1. Establishing an equivalent circuit model of a lithium-ion battery through a neural network; the input parameters of the neural network include battery temperature and battery state of charge data at different battery temperatures, and the output parameters include component parameters in the equivalent circuit model;
S2、在等效电路模型的基础上耦合电池自然对流的传热模型建立初始电-热耦合模型;S 2. On the basis of the equivalent circuit model, the heat transfer model coupled with the natural convection of the battery is established to establish an initial electric-thermal coupling model;
S3、设计多组恒流充电方案,依据恒流充电方案对待测电池进行测试,获得多组测试数据;所述测试数据用于拟合初始电-热耦合模型得到目标电-热耦合模型;拟合参数包括神经网络中的输入权重和传热模型中的热容和对流换热系数;S 3. Design multiple sets of constant current charging schemes, test the battery to be tested according to the constant current charging schemes, and obtain multiple sets of test data; the test data are used to fit the initial electric-thermal coupling model to obtain the target electric-thermal coupling model; Fitting parameters include input weights in the neural network and heat capacity and convective heat transfer coefficients in the heat transfer model;
每组恒流充电方案包括充电时间和对应的电流值;每组测试数据包括待测电池测试过程中的端电压、充电电流、电池温度和环境温度;Each set of constant current charging schemes includes charging time and corresponding current value; each set of test data includes terminal voltage, charging current, battery temperature and ambient temperature during the battery test process;
S4、设计多组多阶段充电方案,每组多阶段充电方案包括充电阶段数、各个充电阶段的充电时间和对应的电流值;S 4. Design multiple sets of multi-stage charging schemes, each set of multi-stage charging schemes includes the number of charging stages, the charging time of each charging stage and the corresponding current value;
将满足多目标优化模型的约束条件的多阶段充电方案依次输入至目标电-热耦合模型,获得与每个多阶段充电方案对应的结果数据;并基于多目标优化模型对结果数据执行迭代优化,从所述多组多阶段充电方案中选取一组Pareto最优解作为待选充电方案;Input the multi-stage charging schemes that meet the constraints of the multi-objective optimization model into the target electric-thermal coupling model in turn to obtain the result data corresponding to each multi-stage charging scheme; and perform iterative optimization on the result data based on the multi-objective optimization model, Select a group of Pareto optimal solutions from the multiple groups of multi-stage charging schemes as the charging scheme to be selected;
每组结果数据包括充电总时间、充电前后的电池温度差和充电过程中的能量损耗率;多目标优化模型的评估目标包括充电总时间、充电前后的电池温度差和充电过程中的能量损耗率;Each set of result data includes the total charging time, the battery temperature difference before and after charging, and the energy loss rate during the charging process; the evaluation objectives of the multi-objective optimization model include the total charging time, the battery temperature difference before and after charging, and the energy loss rate during the charging process ;
S5、通过决策方法从所述待选充电方案中选择目标充电方案。S 5 . Select a target charging scheme from the candidate charging schemes by using a decision-making method.
较佳地,所述等效电路模型为一阶RC支路等效电路模型,所述一阶RC支路等效电路模型中的元件包括直流电阻、极化电阻和极化电容;Preferably, the equivalent circuit model is a first-order RC branch equivalent circuit model, and elements in the first-order RC branch equivalent circuit model include DC resistance, polarization resistance and polarization capacitance;
所述极化电阻和所述极化电容组成并联支路并与所述直流电阻串联。The polarization resistance and the polarization capacitance form a parallel branch and are connected in series with the direct current resistance.
较佳地,在步骤S1中,元件参数包括直流电阻阻值、极化电阻阻值和极化电容的电容值。Preferably, in step S1, the element parameters include a DC resistance value, a polarization resistance value and a capacitance value of a polarization capacitor.
较佳地,在步骤S1中,所述神经网络为ELM神经网络。Preferably, in step S1, the neural network is an ELM neural network.
较佳地,在步骤S3中,基于Baron(Branch-And-Reduce Optimization Navigator,分枝减小最优化导航)算法对初始电-热耦合模型进行拟合。Preferably, in step S3, the initial electric - thermal coupling model is fitted based on the Baron (Branch-And-Reduce Optimization Navigator, branch-and-reduce optimization navigation) algorithm.
较佳地,在步骤S5中,多目标优化模型的约束条件包括:Preferably, in step S5, the constraints of the multi - objective optimization model include:
各个充电阶段的电流值逐渐减小;The current value of each charging stage decreases gradually;
将待测电池充电至SOC(当前电池中的电荷容量占最大电池容量的分数)大于第一预设值;Charge the battery to be tested until the SOC (the fraction of the charge capacity in the current battery to the maximum battery capacity) is greater than the first preset value;
充电过程中待测电池的端电压小于等于截止电压;During the charging process, the terminal voltage of the battery to be tested is less than or equal to the cut-off voltage;
充电过程中电池温度小于等于第二预设值。During the charging process, the battery temperature is less than or equal to the second preset value.
较佳地,在步骤S5之前,所述充电方法还包括:Preferably, before step S5 , the charging method further includes:
基于多目标遗传算法建立多目标优化模型。A multi-objective optimization model is established based on the multi-objective genetic algorithm.
较佳地,步骤S6具体包括:Preferably, step S6 specifically includes:
通过基于TOPSIS(一中优劣评价算法)算法及待测电池的熵系数的决策方法从所述待选充电方案中选择目标充电方案;Select the target charging scheme from the charging schemes to be selected by a decision-making method based on the TOPSIS (a medium quality evaluation algorithm) algorithm and the entropy coefficient of the battery to be tested;
所述熵系数为待测电池的端电压与电池温度的比值。The entropy coefficient is the ratio of the terminal voltage of the battery to be tested to the battery temperature.
本发明的积极进步效果在于:本发明能够利用有限的实验次数为电池充电提供最佳的充电方案,以提升充电的速率、减小充电过程能耗、控制电池温度提升幅度。The positive and progressive effect of the present invention is that the present invention can provide the best charging scheme for battery charging with a limited number of experiments, so as to increase the charging rate, reduce the energy consumption of the charging process, and control the temperature increase of the battery.
附图说明Description of drawings
图1为本发明一较佳实施例的锂离子电池的充电方法的流程图。FIG. 1 is a flowchart of a charging method for a lithium-ion battery according to a preferred embodiment of the present invention.
图2为图1中电-热耦合模型的电路图。Fig. 2 is a circuit diagram of the electric-thermal coupling model in Fig. 1 .
具体实施方式Detailed ways
下面通过实施例的方式进一步说明本发明,但并不因此将本发明限制在所述的实施例范围之中。The present invention is further illustrated below by means of examples, but the present invention is not limited to the scope of the examples.
如图1所示,本实施例的锂离子电池的充电方法包括以下步骤:As shown in Figure 1, the charging method of the lithium ion battery of the present embodiment comprises the following steps:
步骤101、通过神经网络建立锂离子电池的等效电路模型。Step 101, establishing an equivalent circuit model of a lithium-ion battery through a neural network.
其中,神经网络的输入参数包括电池温度和不同电池温度下的电池荷电状态,输出参数包括等效电路模型中的元件参数。本实施例中,使用ELM神经网络进行建模。具体的,如图2所示,等效电路模型为一阶RC支路等效电路模型,一阶RC支路等效电路模型包括直流电阻、极化电阻和极化电容,且极化电阻和极化电容组成并联支路并与直流电阻串联。则元件参数包括直流电阻阻值、极化电阻阻值和极化电容的电容值。Among them, the input parameters of the neural network include the battery temperature and the state of charge of the battery at different battery temperatures, and the output parameters include the component parameters in the equivalent circuit model. In this embodiment, the ELM neural network is used for modeling. Specifically, as shown in Figure 2, the equivalent circuit model is a first-order RC branch equivalent circuit model, and the first-order RC branch equivalent circuit model includes DC resistance, polarization resistance and polarization capacitance, and the polarization resistance and The polarized capacitance forms a parallel branch and is connected in series with the DC resistance. The component parameters include the resistance value of the DC resistance, the resistance value of the polarization resistance and the capacitance value of the polarization capacitor.
步骤102、在等效电路模型的基础上耦合电池自然对流的传热模型以建立初始电-热耦合模型。Step 102 , on the basis of the equivalent circuit model, couple the battery natural convection heat transfer model to establish an initial electric-thermal coupling model.
为了提高数学模型的准确度,建模时考虑温度和SOC对电路参数的影响,因此,还对等效电路模型与热模型实施了耦合。In order to improve the accuracy of the mathematical model, the influence of temperature and SOC on the circuit parameters is considered in the modeling, so the equivalent circuit model and the thermal model are also coupled.
步骤103、设计多组恒流充电方案,依据恒流充电方案对待测电池进行测试,获得多组测试数据;测试数据用于拟合初始电-热耦合模型得到目标电-热耦合模型。Step 103 , designing multiple sets of constant current charging schemes, testing the battery to be tested according to the constant current charging schemes, and obtaining multiple sets of test data; the test data are used to fit the initial electric-thermal coupling model to obtain the target electric-thermal coupling model.
其中,拟合参数包括神经网络中的输入权重和传热模型中的热容和对流换热系数;每组恒流充电方案包括充电时间和对应的电流值;每组测试数据包括待测电池测试过程中的端电压、充电电流、电池温度和环境温度。本实施例中,基于Baron算法对初始电-热耦合模型进行拟合。Among them, the fitting parameters include the input weights in the neural network and the heat capacity and convective heat transfer coefficient in the heat transfer model; each set of constant current charging schemes includes charging time and corresponding current values; each set of test data includes the battery test The terminal voltage, charging current, battery temperature and ambient temperature during the process. In this embodiment, the initial electric-thermal coupling model is fitted based on the Baron algorithm.
下面详细介绍数学建模的过程:The following is a detailed introduction to the process of mathematical modeling:
建立数学模型之前,首先,调查获取目标充电电池的额定工作参数,主要包括最大充电电流,充电截止电压等;其次,确定电池可能的工作温度范围;最后,根据最大充电电流,电池工作温度范围设计恒流恒压充电实验,实验数据越多数学模型越精确,本实施例中设计3-5个温度,3-5个恒流阶段的电流值,进行所选温度开始的CC-CV充电实验,按一定时间间隔记录电池的开路电压、端电压、充电电流、实时温度、不同温度下的电池电荷状态等数据,从而可以得到UOC-SOC曲线、熵系数-SOC曲线,为了进一步提高模型的精确度,还对曲线进行线性拟合。其中,SOC为荷电状态,介于0和1之间,也常用百分比表示,指当前电池中的荷电容量占最大电池容量的分数;UOC为开路电压;熵系数为电池的端电压与电池温度的比值。Before establishing the mathematical model, firstly, investigate and obtain the rated operating parameters of the target rechargeable battery, mainly including the maximum charging current, charging cut-off voltage, etc.; secondly, determine the possible operating temperature range of the battery; finally, design the battery operating temperature range according to the maximum charging current Constant current and constant voltage charging experiment, the more experimental data, the more accurate the mathematical model. In this embodiment, design 3-5 temperatures, 3-5 current values in the constant current stage, and carry out the CC-CV charging experiment starting at the selected temperature. Record the battery’s open circuit voltage, terminal voltage, charging current, real-time temperature, battery charge state at different temperatures and other data at a certain time interval, so that the U OC -SOC curve and the entropy coefficient -SOC curve can be obtained. In order to further improve the accuracy of the model degree, and also perform a linear fit to the curve. Among them, SOC is the state of charge, between 0 and 1, and is also commonly expressed as a percentage, which refers to the fraction of the current charge capacity in the battery to the maximum battery capacity; U OC is the open circuit voltage; the entropy coefficient is the terminal voltage of the battery and Ratio of battery temperature.
得到上述样本训练参数后,进行建模。After obtaining the above sample training parameters, perform modeling.
步骤1:建立描述电池动态特性的一阶RC等效电路模型,该模型由R1,C并联后再串联R0与电池的UOC组成;Step 1: Establish a first-order RC equivalent circuit model to describe the dynamic characteristics of the battery. This model is composed of R1, C connected in parallel, R0 in series and U OC of the battery;
模型可以用以下方程描述:The model can be described by the following equation:
Ub=UOC+U0+U1 U b =U OC +U 0 +U 1
其中Ub是电池端电压,UOC是电池的开路电压,U0是直流电阻R0两端的电压,U1是RC并联支路两端的电压,此式描述电池直接测得的端电压和开路电压、模型电阻上的电压的关系。Among them, U b is the battery terminal voltage, U OC is the open circuit voltage of the battery, U 0 is the voltage at both ends of the DC resistance R 0 , and U 1 is the voltage at both ends of the RC parallel branch. This formula describes the terminal voltage and the open circuit voltage measured directly by the battery Voltage, voltage across model resistors.
RC并联支路上的电压值与电阻和电容的大小有关,根据基尔霍夫电流定律推导,满足以下微分方程:The voltage value on the RC parallel branch is related to the size of the resistance and capacitance, which is derived according to Kirchhoff's current law and satisfies the following differential equation:
其中I为主路上的总电流,上式积分后可得迭代式:Among them, I is the total current on the main road, and the iterative formula can be obtained after integrating the above formula:
式中τ=R1*C1,是并联回路上的时间常数。In the formula, τ=R 1 *C 1 is the time constant on the parallel circuit.
热模型部分主要考虑了电池内部反应的可逆热和不可逆热,电池的热量生成为不可逆热的能量,也即能量损耗可表达为:The thermal model part mainly considers the reversible heat and irreversible heat of the internal reaction of the battery. The heat generated by the battery is the energy of irreversible heat, that is, the energy loss can be expressed as:
电池的温度上升来源于充电过程的热量生成和对流传热耗散之差,故温度满足以下微分方程:The temperature rise of the battery comes from the difference between heat generation and convective heat transfer dissipation during charging, so the temperature satisfies the following differential equation:
其中S为熵系数,m为电池质量,Cp为电池热容,h为电池表面换热系数,A为换热表面积,Temamb表示环境温度;与电压相同,微分方程积分后可以得到电池温度Tem的迭代式:Among them, S is the entropy coefficient, m is the mass of the battery, C p is the heat capacity of the battery, h is the heat transfer coefficient of the battery surface, A is the heat transfer surface area, and Tem amb is the ambient temperature; same as the voltage, the battery temperature can be obtained after integrating the differential equation Tem's iterative formula:
其中,Δt=t(n)-t(n-1)。Wherein, Δt=t(n)-t(n-1).
步骤2:由包含输入层、输出层和隐藏层的ELM神经网络结构,获得系统的输入、输出模型。Step 2: Obtain the input and output models of the system from the ELM neural network structure including the input layer, output layer and hidden layer.
多输出的模型可用下式表示:The multi-output model can be expressed as follows:
式中ai和bi是模型的输入权重,g(ai,bi,x)是ELM的激活函数,βij为某隐藏节点参数的输出权重,n是模型中隐藏节点的数量,结合下面形式的激活函数,以及温度与SOC的双输入变量,可以推导出表达等效电路参数R0、R1、C的通式,而h和Cp当作常数:where a i and b i are the input weights of the model, g(a i , b i , x) is the activation function of the ELM, β ij is the output weight of a hidden node parameter, n is the number of hidden nodes in the model, combined The activation function of the following form, and the dual input variables of temperature and SOC, can be derived to express the general formula of the equivalent circuit parameters R 0 , R 1 , C, and h and C p are taken as constants:
由于模型的多输入,输入权重ai包含Iwi1、Iwi2两部分,Ow为辨识(拟合)后得到的输出权重,在本方法中隐藏节点数n人为设计,Iwi1、Iwi2、bi由算法随机获得。Due to the multi-input of the model, the input weight a i includes two parts Iwi1 and Iwi2, and Ow is the output weight obtained after identification (fitting). In this method, the number of hidden nodes n is artificially designed, and Iwi1, Iwi2, and b i are randomized by the algorithm. get.
步骤3:依据电池测试中的测试数据计算出SOC、开路电压,其中SOC的计算使用的是安时法,公式表达为:Step 3: Calculate the SOC and open circuit voltage based on the test data in the battery test. The calculation of SOC uses the ampere-hour method, and the formula is expressed as:
Ci是电池测量出的总容量。C i is the measured total capacity of the battery.
步骤4:将步骤1、2和3中计算得到的SOC、Temh和Q以及通过电池测试得到的上述测试参数并基于Baron算法对初始电-热耦合模型进行拟合优化,可采用最小二乘法,优化目标是拟合值与测试值的端电压与温度误差等最小,目标函数用公式可表达为:Step 4: The SOC, Temh, and Q calculated in steps 1, 2, and 3 and the above test parameters obtained through battery testing are used to fit and optimize the initial electric-thermal coupling model based on the Baron algorithm, and the least square method can be used. The optimization goal is to minimize the terminal voltage and temperature errors between the fitting value and the test value. The objective function can be expressed as:
其中,指拟合的端电压数据,同理,程序计算得到一组ELM模型的输出权重最优解,用于表征上述的电-热耦合模型,以得到目标电-热耦合模型。in, refers to the fitted terminal voltage data, In the same way, the program calculates the optimal solution of the output weight of a set of ELM models, which is used to characterize the above-mentioned electric-thermal coupling model, so as to obtain the target electric-thermal coupling model.
步骤104、设计多组多阶段充电方案,将满足多目标优化模型的约束条件的多阶段充电方案依次输入至目标电-热耦合模型,获得与每个多阶段充电方案对应的结果数据;并基于多目标优化模型对结果数据执行迭代优化,从多组多阶段充电方案中选取一组Pareto最优解作为待选充电方案。Step 104, designing multiple sets of multi-stage charging schemes, inputting the multi-stage charging schemes satisfying the constraints of the multi-objective optimization model into the target electric-thermal coupling model in sequence, and obtaining the result data corresponding to each multi-stage charging scheme; and based on The multi-objective optimization model performs iterative optimization on the result data, and selects a set of Pareto optimal solutions from multiple sets of multi-stage charging schemes as the charging scheme to be selected.
其中,每组多阶段充电方案包括充电阶段数、各个充电阶段的充电时间和对应的电流值;每组结果数据包括充电总时间、充电前后的电池温度差和充电过程中的能量损耗率;多目标优化模型的评估目标包括充电总时间、充电前后的电池温度差和充电过程中的能量损耗率。Among them, each group of multi-stage charging schemes includes the number of charging stages, the charging time of each charging stage and the corresponding current value; each group of result data includes the total charging time, the battery temperature difference before and after charging, and the energy loss rate during the charging process; The evaluation objectives of the objective optimization model include the total charging time, the battery temperature difference before and after charging, and the energy loss rate during charging.
本实施例中,基于多目标遗传算法建立多目标优化模型。多目标优化模型对结果数据执行迭代优化,从而从多组多阶段充电方案中选取满足评估目标的一组Pareto最优解作为待选充电方案。In this embodiment, a multi-objective optimization model is established based on a multi-objective genetic algorithm. The multi-objective optimization model performs iterative optimization on the result data, so that a group of Pareto optimal solutions that meet the evaluation objectives are selected from multiple sets of multi-stage charging schemes as the charging scheme to be selected.
具体的,多目标优化模型的多目标函数表达为:Specifically, the multi-objective function of the multi-objective optimization model is expressed as:
minF2=max(Tem)-Tem(0)minF 2 =max(Tem)-Tem(0)
F1,F2,F3为电池充电过程中的优化目标,F1描述的是一个方案中所有阶段充电时间之和,即充电总时长,F2是充电前后的电池温度差,F3是充电过程中不可逆热的总和与充电总能量之比,描述的是能量损耗率。F 1 , F 2 , and F 3 are the optimization goals during the charging process of the battery. F 1 describes the sum of the charging time of all stages in a scheme, that is, the total charging time. F 2 is the temperature difference of the battery before and after charging, and F3 is the charging time. The ratio of the sum of irreversible heat in the process to the total charging energy describes the energy loss rate.
满足的约束包括:The constraints that are met include:
I1>I2>…>Ik I 1 >I 2 >… >I k
Ub≤Ucutoff Tem≤Temmax U b ≤ U cutoff Tem ≤ Tem max
约束1保证电流逐级递减;约束2保证优化计算的解策略能将电池充至SOC大于第一预设值,第一预设值以0.99为最佳,认为充满;约束3要求全过程中电池端电压不能超过截止电压(Ucutoff),温度不能超过第二预设值,也即电池温度的安全限定的最大值(Temmax),上述为电池安全考量的基本限定。优化变量是多阶段恒流充电的阶段数、各阶段电流和各阶段时间,算法目标为在满足上述约束条件的情况下优化多阶段恒流充电的总体性能,在全局上搜索出合适的初始充电方案作为待选充电方案。Constraint 1 ensures that the current decreases step by step; Constraint 2 ensures that the solution strategy of the optimization calculation can charge the battery until the SOC is greater than the first preset value, and the first preset value is 0.99 as the best value, which is considered full; The terminal voltage cannot exceed the cut-off voltage (U cutoff ), and the temperature cannot exceed the second preset value, that is, the maximum safety limit of the battery temperature (Tem max ), which are the basic limits for battery safety considerations. The optimization variable is the number of stages of multi-stage constant current charging, the current of each stage, and the time of each stage. The goal of the algorithm is to optimize the overall performance of multi-stage constant current charging under the condition of satisfying the above constraints, and search for a suitable initial charging globally. The scheme is used as the charging scheme to be selected.
步骤105、通过决策方法从待选充电方案中选择目标充电方案。Step 105. Select a target charging scheme from the charging schemes to be selected by a decision-making method.
具体的,本实施例采取基于熵系数和TOPSIS集成的决策方法获得最后的多目标优化充电策略。在评价多目标综合问题中,决策步骤如下:Specifically, this embodiment adopts a decision-making method based on the integration of entropy coefficient and TOPSIS to obtain the final multi-objective optimal charging strategy. In evaluating multi-objective synthesis problems, the decision-making steps are as follows:
步骤1:在优化算法的解集中,将每个优化目标的最优值筛选出;Step 1: In the solution set of the optimization algorithm, filter out the optimal value of each optimization objective;
其中,i=1,2,…,p(P为待选充电方案个数);j=1,2,3。Wherein, i=1,2,...,p (P is the number of charging schemes to be selected); j=1,2,3.
优化目标分为越大越好和越小越好两种,本问题中的目标都为越小越好;The optimization goals are divided into two types: the bigger the better and the smaller the better. The goals in this problem are the smaller the better;
步骤2:计算每个解的目标关于最优值得接近程度并做归一化处理,计算出各个指标的熵值权重;Step 2: Calculate the closeness of the target of each solution to the optimal value and perform normalization processing, and calculate the entropy weight of each index;
式中dij为元素yij的归一化指标,Ej是第j个评价指标的熵值;In the formula, d ij is the normalization index of element y ij , and E j is the entropy value of the jth evaluation index;
步骤3:将熵值权重和主观确定的主观权重(可自行设置)结合,最终确定各指标的权重;Step 3: Combine the entropy weight with the subjective weight determined subjectively (can be set by yourself), and finally determine the weight of each indicator;
客观权重:Objective weight:
最终权重:Final weights:
式中ωj为j目标的主观权重;where ω j is the subjective weight of target j;
步骤4:计算指标的加权欧式距离,距离越短越好,获得该决策下的最优解,也即目标充电方案。Step 4: Calculate the weighted Euclidean distance of the index. The shorter the distance, the better, and obtain the optimal solution under this decision, that is, the target charging scheme.
本实施例完整地设计了从电池获得优化充电策略的方案,得到了多目标性能更好的充电策略。利用该方法建立的模型具有足够的精确性,能很好地描述过程对象的动态特性,并且在计算速度上较快,有希望改进成在线优化的模式。In this embodiment, a scheme for obtaining an optimal charging strategy from a battery is completely designed, and a charging strategy with better multi-objective performance is obtained. The model established by this method has sufficient accuracy, can well describe the dynamic characteristics of the process object, and has a fast calculation speed, which is expected to be improved to an online optimization mode.
虽然以上描述了本发明的具体实施方式,但是本领域的技术人员应当理解,这仅是举例说明,本发明的保护范围是由所附权利要求书限定的。本领域的技术人员在不背离本发明的原理和实质的前提下,可以对这些实施方式做出多种变更或修改,但这些变更和修改均落入本发明的保护范围。Although the specific implementation of the present invention has been described above, those skilled in the art should understand that this is only an example, and the protection scope of the present invention is defined by the appended claims. Those skilled in the art can make various changes or modifications to these embodiments without departing from the principle and essence of the present invention, but these changes and modifications all fall within the protection scope of the present invention.
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