WO2018161486A1 - Method and system for estimating soc of power battery on the basis of dynamic parameters - Google Patents

Method and system for estimating soc of power battery on the basis of dynamic parameters Download PDF

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WO2018161486A1
WO2018161486A1 PCT/CN2017/092130 CN2017092130W WO2018161486A1 WO 2018161486 A1 WO2018161486 A1 WO 2018161486A1 CN 2017092130 W CN2017092130 W CN 2017092130W WO 2018161486 A1 WO2018161486 A1 WO 2018161486A1
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battery
soc
equivalent circuit
ocv
circuit model
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PCT/CN2017/092130
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French (fr)
Chinese (zh)
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张瑞锋
王海帆
吴晋
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深圳市海云图新能源有限公司
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/36Arrangements for testing, measuring or monitoring the electrical condition of accumulators or electric batteries, e.g. capacity or state of charge [SoC]
    • G01R31/389Measuring internal impedance, internal conductance or related variables
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/36Arrangements for testing, measuring or monitoring the electrical condition of accumulators or electric batteries, e.g. capacity or state of charge [SoC]
    • G01R31/367Software therefor, e.g. for battery testing using modelling or look-up tables

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  • the invention relates to the field of electric vehicle and energy storage battery management systems, and particularly to a power battery SOC estimation method and system based on dynamic parameters.
  • domestic and international methods for estimating the State of Charge (SOC) of power batteries include: internal resistance method, ampere-time integration method, open circuit voltage method, Kalman filter method, observer method, particle filter method and neural network. law.
  • the internal resistance method is based on the relationship between the internal resistance of the battery and the SOC, and the battery SOC is calculated by detecting the internal resistance of the battery internal resistance.
  • the online and accurate measurement of the internal resistance of the battery is difficult, which limits the actual engineering of the method.
  • Application in Although the principle of Ampere integration is simple and easy to implement, it cannot eliminate the initial error of SOC and the accumulated error caused by inaccurate current measurement.
  • the open circuit voltage method calculates the battery SOC based on the correspondence between the open circuit voltage (OCV) and the SOC. It is necessary to fully rest the battery before measuring the OCV, and thus is not suitable for online estimation of the SOC. Both the Kalman filter method and the observer method can well correct the initial error of the battery SOC and have good anti-noise ability. However, they have very high requirements on model accuracy. Particle filtering method, the convergence time is too long.
  • the neural network method requires a large number of training samples. In practical applications, it is impossible to obtain sample data covering all actual working conditions, so the accuracy will be affected to some extent, and the calculation method is difficult to implement in hardware.
  • the power battery is a complex nonlinear power system, and the battery model parameters are obviously affected by many factors such as temperature, battery self-discharge, and aging.
  • the existing battery SOC estimation method has some inconveniences and defects to varying degrees, so further improvement is necessary.
  • the present invention provides a method and system for estimating a SOC of a power battery based on dynamic parameters, the method comprising the steps of: performing a discharge-station test on a battery to obtain an OCV of the battery at different temperatures.
  • the second-order RC equivalent circuit model of the battery is mainly composed of a first resistor (R 0 ), a second resistor (R 1 ), a third resistor (R 2 ), a first capacitor (C 1 ), and a second capacitor ( C 2 ) constitutes.
  • the value of the forgetting factor is from 0.95 to 0.98.
  • the present invention provides a power battery SOC estimation system based on dynamic parameters, the system comprising: a first calculation module for performing a discharge-station experiment on a battery to obtain an OCV-SOC of the battery at different temperatures The characteristic curve is fitted to the relational expression of OCV-SOC; the second calculation module is used for performing a constant current pulse discharge-station experiment on the battery, and the voltage response during recording is identified by an off-line method according to the obtained voltage response curve.
  • the parameter initial value of the second-order RC equivalent circuit model of the battery is used for dynamic parameter identification of the second-order RC equivalent circuit model by using the recursive least squares method RRFLS with forgetting factor; fourth calculation module Used to estimate the battery SOC online using the EKF algorithm.
  • the invention overcomes the phenomenon that the initial value of the SOC is inaccurate and accumulated error in the integration time method, adapts to the dynamic change of the battery characteristic, the battery model has high precision, the convergence speed is fast, stable and reliable, and the accuracy of the SOC online estimation is improved, and the invention can be widely used. Used in the field of electric vehicles and energy storage battery management systems.
  • FIG. 1 is a schematic flow chart of a method for estimating a SOC of a power battery based on dynamic parameters according to an embodiment of the present invention
  • FIG. 2 is a schematic structural diagram of a second-order RC equivalent circuit model of a battery.
  • FIG. 1 is a schematic flow chart of a method for estimating a SOC of a power battery based on dynamic parameters according to an embodiment of the present invention. As shown in Figure 1, the method includes the following steps:
  • Step 1 Perform a discharge-station test on the battery to obtain the OCV-SOC characteristic curve of the battery at different temperatures, and fit the relationship expression of OCV-SOC.
  • Step 2 Perform a pulsed discharge-station experiment on the battery with constant current, record the voltage response during the period, and identify the initial value of the parameter of the second-order RC equivalent circuit model of the battery by off-line method according to the obtained voltage response curve.
  • the second-order RC equivalent circuit model of the battery is shown in FIG. 2.
  • the second-order RC equivalent circuit model of the battery is mainly composed of a first resistor R 0 , a second resistor R 1 , and a third resistor R 2 .
  • the first capacitor C 1 and the second capacitor C 2 are formed; wherein U oc represents an open circuit voltage (OCV) of the battery; U 1 is a terminal voltage of the battery; R 0 is an ohmic internal resistance of the battery; R 1 , R 2 They are the electrochemical polarization and concentration difference polarization resistance during charge and discharge of the battery respectively; C 1 and C 2 are the transient capacitance effect, electrochemical polarization and concentration difference polarization capacitance during charge and discharge of the battery, respectively; U 1 U 2 is the voltage value through the capacitors C 1 and C 2 respectively; U is the battery terminal voltage; I is the battery terminal current.
  • OCV open circuit voltage
  • Step 3 Using the recursive least squares method RRFLS with forgetting factor, the second-order RC equivalent circuit model is parameterized.
  • the value of the forgetting factor is from 0.95 to 0.98.
  • aU oc s 2 +bU oc s+U oc aR 0 Is 2 +dIs+cI+aUs 2 +bUs+U;
  • R 1 ( ⁇ 1 c+ ⁇ 2 R i -d)/( ⁇ 1 - ⁇ 2 )
  • R 2 cR 1 -R i
  • the second-order RC equivalent circuit model parameters R 0 , R 1 , R 2 , C 1 , and C 2 are calculated to realize dynamic identification of model parameters.
  • Step 4 The EKF algorithm is used to estimate the battery SOC online.
  • the EKF algorithm is called Extended Kalman Filter, which is an extended Kalman filter, a high-efficiency recursive filter (autoregressive filter).
  • the state equation and the measurement equation of the battery are obtained as follows:
  • the system input u is the operating current I of the lithium ion battery, and the discharge is positive
  • the system output y is Lithium-ion battery operating voltage U
  • sampling time is T.
  • the discrete state space model of a lithium ion battery is:
  • P k is the covariance
  • G k is the Kalman gain
  • Q k-1 is the process noise error
  • R k-1 is the observed noise error
  • Step 6 Update the parameter values Ak, Bk, Ck, and Dk of the state equation in the EFK algorithm in real time, and then run the extended Kalman filter algorithm to obtain the SOC estimation value at time k+1, and then return to step 4.
  • the two steps of calculating the updated model parameters and estimating the SOC by step six are performed, and each obtained SOC and time model parameter values R 0 , R 1 , R 2 , C 1 , and C 2 are substituted into the discrete state space equation.
  • the new predicted value calculated by continuous prediction and modified recursive method, can recurively obtain the real-time parameter value of the lithium battery model and the current SOC estimation value, so that the final SOC and model parameter values R 0 , R 1
  • the R 2 , C 1 , and C 2 filtering results are constantly approaching the actual situation of the battery.
  • an embodiment of the present invention provides a power battery SOC estimation system based on dynamic parameters, and the system includes:
  • the first calculation module is configured to perform a discharge-station experiment on the battery, obtain an OCV-SOC characteristic curve of the battery at different temperatures, and fit a relationship expression of OCV-SOC;
  • the second calculation module is used for performing a constant current pulse discharge-station experiment on the battery, and the voltage response during recording, according to the obtained voltage response curve, the parameter initial value of the second-order RC equivalent circuit model of the battery is identified by an off-line method. ;
  • the third calculation module is configured to perform dynamic parameter identification on the second-order RC equivalent circuit model by using a recursive least squares method RRFLS with a forgetting factor;
  • the fourth calculation module is configured to perform online estimation of the battery SOC by using the EKF algorithm.
  • the embodiment of the invention overcomes the phenomenon that the initial value of the SOC is inaccurate and the cumulative error in the integration time method, adapts to the dynamic change of the battery characteristics, the battery model has high precision, the convergence speed is fast, stable and reliable, and the accuracy of the SOC online estimation is improved. Can be widely used in the field of electric vehicles and energy storage battery management systems.

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Abstract

Provided are a method and system for estimating SOC of a power battery on the basis of dynamic parameters. The method comprises the following steps: performing a discharging-standing experiment on the battery to obtain an OCV-SOC characteristic curve of the battery at different temperatures, and performing fitting to obtain an OCV-SOC relationship expression; performing a pulse discharging-standing experiment on the battery with a constant current and recording the voltage response during the experiment, and identifying, by using an offline method, an initial parameter value of a second-order RC equivalent circuit model of the battery according to an obtained voltage response curve; performing dynamic parameter identification on the second-order RC equivalent circuit model by using a recursive least-squares method containing a forgetting factor; and performing online estimation of the SOC of the battery by using an EKF algorithm. The estimation method prevents inaccurate SOC initial values and accumulated errors in the ampere-hour integral method, adapts to dynamic changes of battery characteristics, has a high accuracy battery model and high convergence rate, is stable and reliable, improves the accuracy of SOC online estimation, and can be widely used in the field of electric automobiles and energy storage battery management systems.

Description

一种基于动态参数的动力电池SOC估算方法及系统Power battery SOC estimation method and system based on dynamic parameters 技术领域Technical field
本发明涉及电动汽车和储能电池管理系统领域,特别涉及一种基于动态参数的动力电池SOC估算方法及系统。The invention relates to the field of electric vehicle and energy storage battery management systems, and particularly to a power battery SOC estimation method and system based on dynamic parameters.
背景技术Background technique
目前,国内外关于动力电池荷电状态(State of Charge,SOC)估计方法主要包括:内阻法、安时积分法、开路电压法、卡尔曼滤波法、观测器法、粒子滤波法和神经网络法。其中,内阻法依据电池内阻和SOC之间的函数关系,通过检测电池内阻检测内阻来计算电池SOC,然而在线、准确地测量电池内阻存在因难,限制了该方法在实际工程中的应用。安时积分法虽然原理简单、易于实现,但是无法消除SOC初始误差以及因电流测量不准确而引起的累计误差。开路电压法根据开路电压(OCV)和SOC的对应关系来计算电池SOC,需要将电池充分静置后才能测量OCV,因此不适用于SOC的在线估计。卡尔曼滤波法和观测器法,都能够很好地修正电池SOC的初始误差,且具有良好的抗噪能力,然而它们对模型精度的要求非常高。粒子滤波法,收敛时间过长。神经网络法,需要大量的训练样本,在实际应用中我们不可能得到覆盖所有实际工况的样本数据,因此其精度也将受到一定的影响,而且该方法计算量大难以在硬件中实现。动力电池是是个复杂的非线性动力系统,电池模型参数明显受到温度、电池自放电、老化等诸多因素的影响。At present, domestic and international methods for estimating the State of Charge (SOC) of power batteries include: internal resistance method, ampere-time integration method, open circuit voltage method, Kalman filter method, observer method, particle filter method and neural network. law. Among them, the internal resistance method is based on the relationship between the internal resistance of the battery and the SOC, and the battery SOC is calculated by detecting the internal resistance of the battery internal resistance. However, the online and accurate measurement of the internal resistance of the battery is difficult, which limits the actual engineering of the method. Application in . Although the principle of Ampere integration is simple and easy to implement, it cannot eliminate the initial error of SOC and the accumulated error caused by inaccurate current measurement. The open circuit voltage method calculates the battery SOC based on the correspondence between the open circuit voltage (OCV) and the SOC. It is necessary to fully rest the battery before measuring the OCV, and thus is not suitable for online estimation of the SOC. Both the Kalman filter method and the observer method can well correct the initial error of the battery SOC and have good anti-noise ability. However, they have very high requirements on model accuracy. Particle filtering method, the convergence time is too long. The neural network method requires a large number of training samples. In practical applications, it is impossible to obtain sample data covering all actual working conditions, so the accuracy will be affected to some extent, and the calculation method is difficult to implement in hardware. The power battery is a complex nonlinear power system, and the battery model parameters are obviously affected by many factors such as temperature, battery self-discharge, and aging.
现有的电池SOC估计方法在实际应用中,都不同程度地存在一定不便和缺陷,因此有必要做进一步的改进。In the actual application, the existing battery SOC estimation method has some inconveniences and defects to varying degrees, so further improvement is necessary.
发明内容Summary of the invention
本发明的目的在于,解决现有电池SOC估算精度和速度的问题。 It is an object of the present invention to solve the problem of the accuracy and speed of SOC estimation of existing batteries.
为实现上述目的,第一方面,本发明提供了一种基于动态参数的动力电池SOC估算方法及系统,该方法包括以下步骤:对电池开展放电-静置实验,获得电池在不同温度下的OCV-SOC特性曲线,拟合出OCV-SOC的关系表达式;对电池进行恒定电流的脉冲放电-静置实验,记录期间的电压响应,根据所得电压响应曲线,通过离线的方法辨识出电池二阶RC等效电路模型的参数初始值;利用含遗忘因子的递推最小二乘法RRFLS,对二阶RC等效电路模型进行动态参数辨识;采用EKF算法对电池SOC进行在线估算。To achieve the above object, in a first aspect, the present invention provides a method and system for estimating a SOC of a power battery based on dynamic parameters, the method comprising the steps of: performing a discharge-station test on a battery to obtain an OCV of the battery at different temperatures. -SOC characteristic curve, fitting the relational expression of OCV-SOC; performing a pulse discharge-station experiment of constant current on the battery, recording the voltage response during the period, and identifying the second order of the battery by offline method according to the obtained voltage response curve The initial value of the parameters of the RC equivalent circuit model; the recursive least squares method RRFLS with forgetting factor is used to identify the dynamic parameters of the second-order RC equivalent circuit model; the EKF algorithm is used to estimate the battery SOC online.
优选地,电池二阶RC等效电路模型主要由第一电阻(R0)、第二电阻(R1)、第三电阻(R2)、第一电容(C1)、和第二电容(C2)构成。Preferably, the second-order RC equivalent circuit model of the battery is mainly composed of a first resistor (R 0 ), a second resistor (R 1 ), a third resistor (R 2 ), a first capacitor (C 1 ), and a second capacitor ( C 2 ) constitutes.
优选地,遗忘因子的值为0.95~0.98。Preferably, the value of the forgetting factor is from 0.95 to 0.98.
第二方面,本发明提供了一种基于动态参数的动力电池SOC估算系统,该系统包括:第一计算模块,用于对电池开展放电-静置实验,获得电池在不同温度下的OCV-SOC特性曲线,拟合出OCV-SOC的关系表达式;第二计算模块,用于对电池进行恒定电流的脉冲放电-静置实验,记录期间的电压响应,根据所得电压响应曲线通过离线的方法辨识出电池二阶RC等效电路模型的参数初始值;第三计算模块,用于利用含遗忘因子的递推最小二乘法RRFLS,对二阶RC等效电路模型进行动态参数辨识;第四计算模块,用于采用EKF算法对电池SOC进行在线估算。In a second aspect, the present invention provides a power battery SOC estimation system based on dynamic parameters, the system comprising: a first calculation module for performing a discharge-station experiment on a battery to obtain an OCV-SOC of the battery at different temperatures The characteristic curve is fitted to the relational expression of OCV-SOC; the second calculation module is used for performing a constant current pulse discharge-station experiment on the battery, and the voltage response during recording is identified by an off-line method according to the obtained voltage response curve. The parameter initial value of the second-order RC equivalent circuit model of the battery; the third calculation module is used for dynamic parameter identification of the second-order RC equivalent circuit model by using the recursive least squares method RRFLS with forgetting factor; fourth calculation module Used to estimate the battery SOC online using the EKF algorithm.
本发明克服了安时积分法中的SOC初值不准确及累计误差的现象,适应电池特性的动态变化,电池模型精度高,收敛速度快,稳定可靠,提高了SOC在线估算的精度,可广泛应用于电动汽车和储能电池管理系统领域。The invention overcomes the phenomenon that the initial value of the SOC is inaccurate and accumulated error in the integration time method, adapts to the dynamic change of the battery characteristic, the battery model has high precision, the convergence speed is fast, stable and reliable, and the accuracy of the SOC online estimation is improved, and the invention can be widely used. Used in the field of electric vehicles and energy storage battery management systems.
附图说明DRAWINGS
图1是本发明实施例提供的一种基于动态参数的动力电池SOC估算方法流程示意图;1 is a schematic flow chart of a method for estimating a SOC of a power battery based on dynamic parameters according to an embodiment of the present invention;
图2是电池二阶RC等效电路模型结构示意图。 2 is a schematic structural diagram of a second-order RC equivalent circuit model of a battery.
具体实施方式detailed description
为使本发明实施例的目的、技术方案和优点更加清楚,下面将结合本发明实施例中的附图,对本发明实施例中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 in the embodiments of the present invention will be clearly and completely described in conjunction with the drawings in the embodiments of the present invention. It is a partial embodiment of the invention, and not all of the embodiments. All other embodiments obtained by those skilled in the art based on the embodiments of the present invention without creative efforts are within the scope of the present invention.
为便于对本发明实施例的理解,下面将结合附图以具体实施例做进一步的解释说明,实施例并不构成对本发明实施例的限定。In order to facilitate the understanding of the embodiments of the present invention, the embodiments of the present invention are not to be construed as limiting.
图1是本发明实施例提供的一种基于动态参数的动力电池SOC估算方法流程示意图。如图1所示,该方法包括以下步骤:1 is a schematic flow chart of a method for estimating a SOC of a power battery based on dynamic parameters according to an embodiment of the present invention. As shown in Figure 1, the method includes the following steps:
步骤一、对电池开展放电-静置实验,获得电池在不同温度下的OCV-SOC特性曲线,拟合出OCV-SOC的关系表达式。 Step 1. Perform a discharge-station test on the battery to obtain the OCV-SOC characteristic curve of the battery at different temperatures, and fit the relationship expression of OCV-SOC.
步骤二、对电池进行恒定电流的脉冲放电-静置实验,记录期间的电压响应,根据所得电压响应曲线,通过离线的方法辨识出电池二阶RC等效电路模型的参数初始值。Step 2: Perform a pulsed discharge-station experiment on the battery with constant current, record the voltage response during the period, and identify the initial value of the parameter of the second-order RC equivalent circuit model of the battery by off-line method according to the obtained voltage response curve.
在一个优选的方案中,电池二阶RC等效电路模型如图2所示,该电池二阶RC等效电路模型主要由第一电阻R0、第二电阻R1、第三电阻R2、第一电容C1、和第二电容C2构成;其中,Uoc代表电池的开路电压(OCV);U1为电池组的端电压;R0为电池的欧姆内阻;R1、R2分别为电池充放电过程中的电化学极化和浓度差极化电阻;C1、C2分别为电池充放电过程中的暂态电容效应、电化学极化和浓度差极化电容;U1、U2分别为通过电容C1、C2的电压值;U为电池端电压;I为电池端电流。In a preferred solution, the second-order RC equivalent circuit model of the battery is shown in FIG. 2. The second-order RC equivalent circuit model of the battery is mainly composed of a first resistor R 0 , a second resistor R 1 , and a third resistor R 2 . The first capacitor C 1 and the second capacitor C 2 are formed; wherein U oc represents an open circuit voltage (OCV) of the battery; U 1 is a terminal voltage of the battery; R 0 is an ohmic internal resistance of the battery; R 1 , R 2 They are the electrochemical polarization and concentration difference polarization resistance during charge and discharge of the battery respectively; C 1 and C 2 are the transient capacitance effect, electrochemical polarization and concentration difference polarization capacitance during charge and discharge of the battery, respectively; U 1 U 2 is the voltage value through the capacitors C 1 and C 2 respectively; U is the battery terminal voltage; I is the battery terminal current.
步骤三、利用含遗忘因子的递推最小二乘法RRFLS,对二阶RC等效电路模型进行参数辨识。优选地,遗忘因子的值为0.95~0.98。Step 3: Using the recursive least squares method RRFLS with forgetting factor, the second-order RC equivalent circuit model is parameterized. Preferably, the value of the forgetting factor is from 0.95 to 0.98.
具体地,由基尔霍夫定律与拉布拉斯变换,得到二阶RC等效电路模型频域下的状态方程为: Specifically, from the Kirchhoff's law and the Labrador transform, the state equation in the frequency domain of the second-order RC equivalent circuit model is:
Figure PCTCN2017092130-appb-000001
Figure PCTCN2017092130-appb-000001
令时间常数τ1=R1C1,τ2=R2C2Let the time constant τ 1 = R 1 C 1 , τ 2 = R 2 C 2 ;
则上式可化简为:Then the above formula can be reduced to:
τ1τ2Uocs2+(τ12)Uocs+Uoc=τ1τ2IR0s2+Is|R1τ2+R2τ1+R012)|+I(R1+R2+R0)+τ1τ2Us2+(τ12)Us+U;τ 1 τ 2 U oc s 2 +(τ 12 )U oc s+U oc1 τ 2 IR 0 s 2 +Is|R 1 τ 2 +R 2 τ 1 +R 01 + τ 2 )|+I(R 1 +R 2 +R 0 )+τ 1 τ 2 Us 2 +(τ 12 )Us+U;
设a=τ1τ2,b=τ12,c=R1+R2+R0,d=R1τ2+R2τ1+R012)Let a = τ 1 τ 2 , b = τ 1 + τ 2 , c = R 1 + R 2 + R 0 , d = R 1 τ 2 + R 2 τ 1 + R 01 + τ 2 )
则上式可简化为:Then the above formula can be simplified as:
aUocs2+bUocs+Uoc=aR0Is2+dIs+cI+aUs2+bUs+U;aU oc s 2 +bU oc s+U oc =aR 0 Is 2 +dIs+cI+aUs 2 +bUs+U;
将上式进行离散化处理,其中T为采样时间,整理可得:The above formula is discretized, where T is the sampling time, and the finishing is available:
Uoc(k)-U=k1|U(k-1)-Uoc(k-1)|+k2|U(k-2)-Uoc(k-2)|+k3I(k)+k4I(k-1)+k5I(k-2)U oc (k)-U=k 1 |U(k-1)-U oc (k-1)|+k 2 |U(k-2)-U oc (k-2)|+k 3 I( k)+k 4 I(k-1)+k 5 I(k-2)
其中,among them,
Figure PCTCN2017092130-appb-000002
Figure PCTCN2017092130-appb-000002
Figure PCTCN2017092130-appb-000003
Figure PCTCN2017092130-appb-000003
Figure PCTCN2017092130-appb-000004
Figure PCTCN2017092130-appb-000004
Figure PCTCN2017092130-appb-000005
Figure PCTCN2017092130-appb-000005
Figure PCTCN2017092130-appb-000006
Figure PCTCN2017092130-appb-000006
式中,即可代入递推最小二乘的辨识方法中,当前时刻的θ=|k1k2k3k4k5|T值,然后根据以下公式:In the formula, you can substitute the recursive least squares identification method, the current time θ = | k 1 k 2 k 3 k 4 k 5 | T value, and then according to the following formula:
R0=k5/k2 R 0 = k 5 /k 2
R1=(τ1c+τ2Ri-d)/(τ12)R 1 =(τ 1 c+τ 2 R i -d)/(τ 12 )
R2=c-R1-Ri R 2 =cR 1 -R i
C1=τ1/R1 C 11 /R 1
C2=τ2/R2 C 22 /R 2
计算出二阶RC等效电路模型参数R0、R1、R2、C1、C2,从而实现模型参数 的动态辨识。The second-order RC equivalent circuit model parameters R 0 , R 1 , R 2 , C 1 , and C 2 are calculated to realize dynamic identification of model parameters.
步骤四、采用EKF算法对电池SOC进行在线估算,EKF算法全称Extended Kalman Filter,即扩展卡尔曼滤波器,一种高效率的递归滤波器(自回归滤波器)。Step 4: The EKF algorithm is used to estimate the battery SOC online. The EKF algorithm is called Extended Kalman Filter, which is an extended Kalman filter, a high-efficiency recursive filter (autoregressive filter).
具体地,根据所选取的二阶RC等效电路模型,得到电池的状态方程和量测方程如下:Specifically, according to the selected second-order RC equivalent circuit model, the state equation and the measurement equation of the battery are obtained as follows:
Figure PCTCN2017092130-appb-000007
Figure PCTCN2017092130-appb-000007
Figure PCTCN2017092130-appb-000008
Figure PCTCN2017092130-appb-000008
状态方程离散化后的离散模型:Discrete model after discretization of the state equation:
Figure PCTCN2017092130-appb-000009
Figure PCTCN2017092130-appb-000009
Figure PCTCN2017092130-appb-000010
Figure PCTCN2017092130-appb-000010
令电池模型中的状态变量为x=[x1 x2 x3]=[Uoc U1 U2]T,系统输入u为锂离子电池的工作电流I,且放电为正,系统输出y为锂离子电池的工作电压U,采样时间为T。Let the state variable in the battery model be x=[x 1 x 2 x 3 ]=[U oc U 1 U 2 ] T , the system input u is the operating current I of the lithium ion battery, and the discharge is positive, the system output y is Lithium-ion battery operating voltage U, sampling time is T.
锂离子电池离散状态空间模型为:The discrete state space model of a lithium ion battery is:
Figure PCTCN2017092130-appb-000011
Figure PCTCN2017092130-appb-000011
其中among them
Figure PCTCN2017092130-appb-000012
Figure PCTCN2017092130-appb-000012
Figure PCTCN2017092130-appb-000013
Figure PCTCN2017092130-appb-000013
Figure PCTCN2017092130-appb-000014
Figure PCTCN2017092130-appb-000014
Dk=-R0(k)D k =-R 0 (k)
算法系统参数状态量初始化Algorithm system parameter state quantity initialization
x0=[SOC(0) 0 0]T x 0 =[SOC(0) 0 0] T
Figure PCTCN2017092130-appb-000015
Figure PCTCN2017092130-appb-000015
运行扩展卡尔曼滤波算法Running extended Kalman filter algorithm
预测模块:Prediction module:
(1)状态预测:(1) Status prediction:
Figure PCTCN2017092130-appb-000016
Figure PCTCN2017092130-appb-000016
(2)状态预测误差协方差矩阵:(2) State prediction error covariance matrix:
Figure PCTCN2017092130-appb-000017
Figure PCTCN2017092130-appb-000017
纠错模块:Error correction module:
(1)卡尔曼增益:(1) Kalman gain:
Figure PCTCN2017092130-appb-000018
Figure PCTCN2017092130-appb-000018
其中,among them,
Figure PCTCN2017092130-appb-000019
Figure PCTCN2017092130-appb-000019
(2)状态估计:(2) State estimation:
Figure PCTCN2017092130-appb-000020
Figure PCTCN2017092130-appb-000020
(3)状态估计误协方差矩阵:(3) State estimation mismatched variance matrix:
Pk=(I-GkCk)Pk|k-1 P k =(IG k C k )P k|k-1
其中,Pk为协方差;Gk为卡尔曼增益;Qk-1为过程噪声误差;Rk-1为观测噪 声误差。Where P k is the covariance; G k is the Kalman gain; Q k-1 is the process noise error; and R k-1 is the observed noise error.
步骤五、由SOC估算值,根据步骤一所获得的OCV-SOC特性曲线,得到k时刻的开路电压值Uoc,利用RRFLS算法得求到k时刻的θ=|k1k2k3k4k5|T值,再计算出k时刻模型参数值R0、R1、R2、C1、C2Step 5: From the SOC estimation value, according to the OCV-SOC characteristic curve obtained in step one, the open circuit voltage value U oc at time k is obtained, and the RRFLS algorithm is used to obtain θ=|k 1 k 2 k 3 k 4 at time k. k 5 | T value, then calculate the model parameter values R 0 , R 1 , R 2 , C 1 , C 2 at time k;
步骤六:实时更新EFK算法中状态方程的参数值Ak、Bk、Ck、Dk,然后再运行扩展卡尔曼滤波算法,得到k+1时刻的SOC估计值,然后返回步骤四。Step 6: Update the parameter values Ak, Bk, Ck, and Dk of the state equation in the EFK algorithm in real time, and then run the extended Kalman filter algorithm to obtain the SOC estimation value at time k+1, and then return to step 4.
通过步骤六计算更新模型参数和步骤五估算SOC这两个循环步骤,将每一次经过得到的SOC和时刻模型参数值R0、R1、R2、C1、C2代入离散状态空间方程得到新的预测值,通过不断的预测和修正的递推方式进行计算,便可以递推得到锂电池模型的实时参数值和当前的SOC估算值,使最终的SOC和模型参数值R0、R1、R2、C1、C2滤波结果不断趋近于电池的实际情况。The two steps of calculating the updated model parameters and estimating the SOC by step six are performed, and each obtained SOC and time model parameter values R 0 , R 1 , R 2 , C 1 , and C 2 are substituted into the discrete state space equation. The new predicted value, calculated by continuous prediction and modified recursive method, can recurively obtain the real-time parameter value of the lithium battery model and the current SOC estimation value, so that the final SOC and model parameter values R 0 , R 1 The R 2 , C 1 , and C 2 filtering results are constantly approaching the actual situation of the battery.
相应地,本发明实施例提供了一种基于动态参数的动力电池SOC估算系统,该系统包括:Correspondingly, an embodiment of the present invention provides a power battery SOC estimation system based on dynamic parameters, and the system includes:
第一计算模块,用于对电池开展放电-静置实验,获得电池在不同温度下的OCV-SOC特性曲线,拟合出OCV-SOC的关系表达式;The first calculation module is configured to perform a discharge-station experiment on the battery, obtain an OCV-SOC characteristic curve of the battery at different temperatures, and fit a relationship expression of OCV-SOC;
第二计算模块,用于对电池进行恒定电流的脉冲放电-静置实验,记录期间的电压响应,根据所得电压响应曲线,通过离线的方法辨识出电池二阶RC等效电路模型的参数初始值;The second calculation module is used for performing a constant current pulse discharge-station experiment on the battery, and the voltage response during recording, according to the obtained voltage response curve, the parameter initial value of the second-order RC equivalent circuit model of the battery is identified by an off-line method. ;
第三计算模块,用于利用含遗忘因子的递推最小二乘法RRFLS,对二阶RC等效电路模型进行动态参数辨识;The third calculation module is configured to perform dynamic parameter identification on the second-order RC equivalent circuit model by using a recursive least squares method RRFLS with a forgetting factor;
第四计算模块,用于采用EKF算法对电池SOC进行在线估算。The fourth calculation module is configured to perform online estimation of the battery SOC by using the EKF algorithm.
本发明实施例克服了安时积分法中的SOC初值不准确及累计误差的现象,适应电池特性的动态变化,电池模型精度高,收敛速度快,稳定可靠,提高了SOC在线估算的精度,可广泛应用于电动汽车和储能电池管理系统领域。The embodiment of the invention overcomes the phenomenon that the initial value of the SOC is inaccurate and the cumulative error in the integration time method, adapts to the dynamic change of the battery characteristics, the battery model has high precision, the convergence speed is fast, stable and reliable, and the accuracy of the SOC online estimation is improved. Can be widely used in the field of electric vehicles and energy storage battery management systems.
以上对本发明进行了详细介绍,并结合具体实施例对本发明做了进一步阐述,必须指出,以上实施例的说明不用于限制而只是用于帮助理解本发明的 核心思想,对于本技术领域的普通技术人员来说,在不脱离本发明原理的前提下,对本发明进行的任何改进以及与本产品等同的替代方案,也属于本发明权利要求的保护范围内。 The present invention has been described in detail above, and the present invention is further described in conjunction with the specific embodiments. It is pointed out that the description of the above embodiments is not intended to be limiting but merely to assist in understanding the present invention. The core idea is that those skilled in the art, without departing from the principles of the invention, any modifications of the invention and equivalents to the invention are also within the scope of the invention.

Claims (4)

  1. 一种基于动态参数的动力电池SOC估算方法,其特征在于,包括以下步骤:A method for estimating a SOC of a power battery based on dynamic parameters, comprising the steps of:
    对电池开展放电-静置实验,获得电池在不同温度下的OCV-SOC特性曲线,拟合出OCV-SOC的关系表达式;Conducting a discharge-station experiment on the battery, obtaining the OCV-SOC characteristic curve of the battery at different temperatures, and fitting the relationship expression of OCV-SOC;
    对电池进行恒定电流的脉冲放电-静置实验,记录期间的电压响应,根据所得电压响应曲线,通过离线的方法辨识出电池二阶RC等效电路模型的参数初始值;The battery is subjected to a constant current pulse discharge-station test, the voltage response during recording, and the initial value of the parameter of the second-order RC equivalent circuit model of the battery is identified by an off-line method according to the obtained voltage response curve;
    利用含遗忘因子的递推最小二乘法RRFLS,对二阶RC等效电路模型进行动态参数辨识;The dynamic parameter identification of the second-order RC equivalent circuit model is carried out by using the recursive least squares method RRFLS with forgetting factor.
    采用EKF算法对电池SOC进行在线估算。The SOC of the battery is estimated online using the EKF algorithm.
  2. 根据权利要求1所述的方法,其特征在于,所述电池二阶RC等效电路模型主要由第一电阻(R0)、第二电阻(R1)、第三电阻(R2)、第一电容(C1)、和第二电容(C2)构成。The method according to claim 1, wherein the second-order RC equivalent circuit model of the battery is mainly composed of a first resistor (R 0 ), a second resistor (R 1 ), and a third resistor (R 2 ). A capacitor (C 1 ) and a second capacitor (C 2 ) are formed.
  3. 根据利要求1所述的方法,其特征在于,所述遗忘因子的值为0.95~0.98。The method according to claim 1, wherein the value of the forgetting factor is 0.95 to 0.98.
  4. 一种基于动态参数的动力电池SOC估算系统,其特征在于,包括:A dynamic battery based SOC estimation system based on dynamic parameters, comprising:
    第一计算模块,用于对电池开展放电-静置实验,获得电池在不同温度下的OCV-SOC特性曲线,拟合出OCV-SOC的关系表达式;The first calculation module is configured to perform a discharge-station experiment on the battery, obtain an OCV-SOC characteristic curve of the battery at different temperatures, and fit a relationship expression of OCV-SOC;
    第二计算模块,用于对电池进行恒定电流的脉冲放电-静置实验,记录期间的电压响应,根据所得电压响应曲线,通过离线的方法辨识出电池二阶RC等效电路模型的参数初始值;The second calculation module is used for performing a constant current pulse discharge-station experiment on the battery, and the voltage response during recording, according to the obtained voltage response curve, the parameter initial value of the second-order RC equivalent circuit model of the battery is identified by an off-line method. ;
    第三计算模块,用于利用含遗忘因子的递推最小二乘法RRFLS,对二阶RC等效电路模型进行动态参数辨识;The third calculation module is configured to perform dynamic parameter identification on the second-order RC equivalent circuit model by using a recursive least squares method RRFLS with a forgetting factor;
    第四计算模块,利用采用EKF算法对电池SOC进行在线估算。 The fourth calculation module utilizes the EKF algorithm to estimate the battery SOC online.
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