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CN107229801B - On-line Identification Method of Tire Rolling Resistance Coefficient - Google Patents

On-line Identification Method of Tire Rolling Resistance Coefficient Download PDF

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CN107229801B
CN107229801B CN201710436235.9A CN201710436235A CN107229801B CN 107229801 B CN107229801 B CN 107229801B CN 201710436235 A CN201710436235 A CN 201710436235A CN 107229801 B CN107229801 B CN 107229801B
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林楠
宗长富
施树明
张曼
牟宇
徐超
李文茹
于晓军
陈光辉
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Jilin University
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Abstract

本发明涉及一种轮胎滚动阻力系数在线辨识方法。首先利用行驶方程式建立辨识模型,然后结合在线聚类辨识算法实现了滚动阻力系数的在线辨识。辨识模型的建立融合了原始的行驶方程式和差分的行驶方程式,消除了整车质量的影响,弥补了以往需要依赖于整车质量计算滚动阻力系数的缺点。传统技术对轮胎滚动阻力系数的测量都是通过滑行试验获取,受单一试验环境限制,无法适应车辆行驶的复杂工况。本发明建立的在线辨识算法能够做到整车重要的参数在线获取,适应不同车辆运行状态和道路环境。

Figure 201710436235

The invention relates to an online identification method for tire rolling resistance coefficient. Firstly, the identification model is established by using the driving equation, and then the online identification of the rolling resistance coefficient is realized by combining with the online cluster identification algorithm. The establishment of the identification model integrates the original driving equation and the differential driving equation, which eliminates the influence of the vehicle mass and makes up for the shortcomings of the previous need to rely on the vehicle mass to calculate the rolling resistance coefficient. The measurement of tire rolling resistance coefficient by traditional technology is obtained through sliding test, which is limited by a single test environment and cannot adapt to the complex working conditions of vehicle driving. The online identification algorithm established by the invention can achieve online acquisition of important parameters of the whole vehicle, and adapt to different vehicle operation states and road environments.

Figure 201710436235

Description

轮胎滚动阻力系数在线辨识方法On-line Identification Method of Tire Rolling Resistance Coefficient

技术领域technical field

本发明涉及汽车自动控制技术中的轮胎滚动阻力系数在线辨识方法,特别是一种不需要整车质量参数,利用纵向加速度传感器信息以及车辆行驶信息的轮胎滚动阻力系数在线辨识方法。The invention relates to an on-line identification method of tire rolling resistance coefficient in automobile automatic control technology, in particular to an on-line identification method of tire rolling resistance coefficient using longitudinal acceleration sensor information and vehicle driving information without requiring the quality parameters of the whole vehicle.

背景技术Background technique

轮胎滚动阻力系数是车辆运行经济性、动力性控制的重要参数,轮胎滚动阻力对整车纵向受力影响较大。随着自动控制技术的发展,许多整车控制参数已经能够做到在线辨识。然而滚动阻力系数是将滚动阻力简化表达为与整车质量成比例关系的抽象系数,不容易建立动力学或表达其产生机理的物理模型计算。Tire rolling resistance coefficient is an important parameter for vehicle operation economy and dynamic control, and tire rolling resistance has a great influence on the longitudinal force of the whole vehicle. With the development of automatic control technology, many vehicle control parameters can be identified online. However, the rolling resistance coefficient is an abstract coefficient that simplifies and expresses the rolling resistance as a proportional relationship with the mass of the whole vehicle, and it is not easy to establish the dynamics or to express the physical model calculation of its generation mechanism.

在整车条件下,常用的轮胎滚动阻力系数测量方法是滑行试验,在切断动力输出的前提下根据行驶阻力和空气阻力做功来计算。场地试验有诸多环境限制,例如温度,道路情况等等,针对特定环境测得的滚动阻力系数不能够表达多变工况下真实的滚动阻力。建立面向整车控制的轮胎滚动阻力系数在线辨识方法就是要摆脱试验场严苛的环境限制,采集行车过程中一些可以利用的行驶数据来实时辨识滚动阻力系数,使整车的自动控制能够做到重要参数的自适应。Under the condition of the whole vehicle, the commonly used tire rolling resistance coefficient measurement method is the sliding test, which is calculated according to the driving resistance and air resistance work under the premise of cutting off the power output. The field test has many environmental limitations, such as temperature, road conditions, etc. The rolling resistance coefficient measured for a specific environment cannot express the real rolling resistance under variable working conditions. The establishment of an online tire rolling resistance coefficient identification method for vehicle control is to get rid of the harsh environmental restrictions of the test site, collect some available driving data during the driving process to identify the rolling resistance coefficient in real time, and enable the automatic control of the vehicle to achieve Adaptation of important parameters.

传统的车辆固定参数辨识经常选用最小二乘算法,然而当真实的采样数据误差较大或者不是高斯白噪声时最小二乘算法将会产生较大误差。The traditional vehicle fixed parameter identification often uses the least squares algorithm. However, when the real sampled data has a large error or is not Gaussian white noise, the least squares algorithm will produce large errors.

发明内容SUMMARY OF THE INVENTION

本发明的目的在于,为适应滚动阻力系数会随着车辆使用条件变化而变化,做到整车重要参数自适应,提出一种滚动阻力系数在线辨识方法,以实现滚动阻力系数的在线获取,适应不同工况环境,提高整车动力性和经济性控制系统的性能。The purpose of the present invention is to provide an online identification method of rolling resistance coefficient in order to adapt to the change of rolling resistance coefficient with the change of vehicle use conditions and to achieve self-adaptation of important parameters of the whole vehicle, so as to realize the online acquisition of rolling resistance coefficient and adapt to Different working conditions and environments, improve the performance of the vehicle dynamic and economical control system.

本发明滚动阻力系数在线聚类辨识方法,是基于车辆行驶状态信息和车载纵向加速度信息所建立的滚动阻力系数在线聚类辨识模型,包括以下步骤:The online clustering identification method of rolling resistance coefficient of the present invention is an online clustering identification model of rolling resistance coefficient established based on vehicle driving state information and vehicle longitudinal acceleration information, and includes the following steps:

S1.模型初始化S1. Model initialization

加载模型所需的固定参数,包含整车参数和算法参数;Fixed parameters required for loading the model, including vehicle parameters and algorithm parameters;

整车参数包含:整车传动效率η、轮胎滚动半径r、车辆行驶加速度av、飞轮转动惯量If、车轮转动惯量Iw、空气阻力系数CD、整车迎风面积A、空气密度ρ、重力加速度g;Vehicle parameters include: vehicle transmission efficiency η, tire rolling radius r, vehicle acceleration a v , flywheel moment of inertia I f , wheel moment of inertia I w , air resistance coefficient C D , vehicle windward area A, air density ρ, Gravitational acceleration g;

算法参数包含:聚类个数m,m个初始聚类中心

Figure BDA0001318672110000021
The algorithm parameters include: the number of clusters m, m initial cluster centers
Figure BDA0001318672110000021

S2.采集车辆行驶状态信息S2. Collect vehicle driving status information

在每一个采样时刻需要同步采集的CAN总线信息包含:整车速度v、发动机转速n、离合器踏板信号、制动踏板信号和纵向加速度传感器提供的加速度asenThe CAN bus information that needs to be collected synchronously at each sampling moment includes: vehicle speed v, engine speed n, clutch pedal signal, brake pedal signal and the acceleration a sen provided by the longitudinal acceleration sensor;

S3.判断是否是空挡滑行数据,如果是,继续执行后续步骤;如果不是,返回步骤S2采集下一时刻车辆行驶状态信息;S3. Determine whether it is the neutral gear sliding data, if so, continue to perform the subsequent steps; if not, return to step S2 to collect the vehicle driving state information at the next moment;

S4.计算整车质量表达式S4. Calculate the vehicle mass expression

首先计算整车纵向行驶滑行阻力,即Fwjw=-Fw-FjwFirst, calculate the sliding resistance of the vehicle in the longitudinal direction, namely F wjw = -F w -F jw ,

式中:

Figure BDA0001318672110000022
为空气阻力;
Figure BDA0001318672110000023
为车轮惯性力;av为车辆行驶加速度,是车速的导数;where:
Figure BDA0001318672110000022
is air resistance;
Figure BDA0001318672110000023
is the inertial force of the wheel; a v is the acceleration of the vehicle, which is the derivative of the vehicle speed;

然后利用差分法计算整车质量表达式:首先计算滑行阻力的差分量ΔFwjw,加速度传感器的差分量Δasen和车速平方值的差分量Δv2,然后根据差分的行驶方程式建立整车质量表达式为:M=ΔFwjw/ΔasenThen use the differential method to calculate the vehicle mass expression: first calculate the differential component ΔF wjw of the sliding resistance, the differential component Δa sen of the acceleration sensor and the differential component Δv 2 of the square value of the vehicle speed, and then establish the vehicle mass expression according to the differential driving equation is: M=ΔF wjw /Δa sen ;

S5.计算滚动阻力系数初步结果S5. Preliminary results of calculating rolling resistance coefficient

将整车质量表达式带入不含驱动力的行驶方程式,利用带遗忘因子的最小二乘算法估计该采样时刻(i)滚动阻力系数初步结果

Figure BDA0001318672110000024
最小二乘的输入量为X=ΔFwjwg,输出量为Y=FwjwΔasen-asenΔFwjw;Bring the vehicle mass expression into the driving equation without driving force, and use the least squares algorithm with forgetting factor to estimate the initial result of the rolling resistance coefficient at the sampling time (i)
Figure BDA0001318672110000024
The input quantity of the least squares is X=ΔF wjw g, and the output quantity is Y=F wjw Δa sen -a sen ΔF wjw ;

S6.对初步辨识结果利用在线K均值聚类,更新聚类中心S6. Use online K-means clustering for the preliminary identification results to update the cluster center

计算滚动阻力系数初步结果至各类聚类中心的距离

Figure BDA0001318672110000025
待聚类点归类至距离最短的一类;更新输入量的聚类中心
Figure BDA0001318672110000031
其中Fm(i)和Fm(i-1)分别是当前采样时刻以及前一采样时刻第m类的聚类中心。Calculate the distance from the preliminary results of the rolling resistance coefficient to the centers of various clusters
Figure BDA0001318672110000025
The points to be clustered are classified into the class with the shortest distance; the cluster center of the input quantity is updated
Figure BDA0001318672110000031
where F m (i) and F m (i-1) are the cluster centers of the mth class at the current sampling time and the previous sampling time, respectively.

S7.计算各类数据的占比,判断当前采样时刻的数据是否是数据量占比最大的一类;如果是,执行后续步骤,如果不是,返回步骤S2重新采集行驶状态信息;S7. Calculate the proportion of various types of data, and determine whether the data at the current sampling time is the category with the largest proportion of data; if so, perform subsequent steps, if not, return to step S2 to re-collect the driving state information;

S8.利用最小二乘算法对滚动阻力系数进一步辨识;S8. Use the least squares algorithm to further identify the rolling resistance coefficient;

S9.计算各类数据量,判断是否满足终止条件,当数据量最大的类满足设定数量时判别算法终止。S9. Calculate the amount of each type of data, and determine whether the termination condition is met. When the class with the largest amount of data meets the set amount, the algorithm terminates.

本发明建立了一种基于车辆行驶信息和纵向加速度传感器信息的滚动阻力系数在线聚类辨识模型。运用差分的纵向动力学公式和原始纵向动力学公式相融合的方法,消除了整车质量对辨识的影响,建立滚动阻力系数在线估计算法。建立的模型具有适应复杂工况的优点,在线K均值聚类算法能够有效剔除不良数据对辨识结果的影响。本发明设计了结合最小二乘算法和在线K均值聚类相结合的滚动阻力系数在线辨识方法,能够有效解决非高斯噪声分布对辨识结果产生不良影响的问题。The invention establishes an online cluster identification model of rolling resistance coefficient based on vehicle driving information and longitudinal acceleration sensor information. Using the method of integrating the differential longitudinal dynamics formula and the original longitudinal dynamics formula, the influence of the vehicle mass on the identification is eliminated, and an online estimation algorithm of the rolling resistance coefficient is established. The established model has the advantage of adapting to complex working conditions, and the online K-means clustering algorithm can effectively eliminate the influence of bad data on the identification results. The invention designs an online identification method of rolling resistance coefficient which combines the least squares algorithm and online K-means clustering, which can effectively solve the problem that the non-Gaussian noise distribution has an adverse effect on the identification result.

本发明滚动阻力系数在线辨识方法,能够在整车质量不同,道路环境变化等复杂工况环境下得到稳定可靠的滚动阻力系数,有助于提高整车动力性和经济性控制系统的性能。The on-line identification method for rolling resistance coefficient of the invention can obtain stable and reliable rolling resistance coefficient under complex working conditions such as different vehicle qualities and changes in road environment, and is helpful for improving the performance of the vehicle dynamic and economical control system.

附图说明Description of drawings

图1为本发明滚动阻力系数辨识方法流程示意图;Fig. 1 is the schematic flow chart of the rolling resistance coefficient identification method of the present invention;

具体实施方式Detailed ways

通过以下实施例的进一步具体描述,以便对本发明内容作进一步理解,但并不是对本发明的具体限定。The content of the present invention can be further understood through further detailed description of the following embodiments, but it is not intended to specifically limit the present invention.

实施例1Example 1

参照图1,一种滚动阻力系数在线辨识方法,是基于行驶信息和车载纵向加速度信息所建立的滚动阻力系数辨识模型,包括以下步骤:1, an online identification method for rolling resistance coefficient is a rolling resistance coefficient identification model established based on driving information and vehicle longitudinal acceleration information, including the following steps:

步骤S1:模型初始化。加载模型所需的固定参数,包含整车参数和算法参数。Step S1: Model initialization. Fixed parameters required for loading the model, including vehicle parameters and algorithm parameters.

整车参数包含:整车传动效率η、轮胎滚动半径r、车辆行驶加速度av、飞轮转动惯量If、车轮转动惯量Iw、空气阻力系数CD、整车迎风面积A、空气密度ρ、重力加速度g。算法参数包含:聚类个数m,m个初始聚类中心

Figure BDA0001318672110000041
Vehicle parameters include: vehicle transmission efficiency η, tire rolling radius r, vehicle acceleration a v , flywheel moment of inertia I f , wheel moment of inertia I w , air resistance coefficient C D , vehicle windward area A, air density ρ, Gravitational acceleration g. The algorithm parameters include: the number of clusters m, m initial cluster centers
Figure BDA0001318672110000041

步骤S2:采集车辆行驶状态信息。Step S2: Collect vehicle driving state information.

在每一个采样时刻需要同步采集的CAN总线信息包含:整车速度v、发动机转速n、离合器踏板信号、制动踏板信号和纵向加速度传感器提供的加速度asenThe CAN bus information that needs to be collected synchronously at each sampling moment includes: vehicle speed v, engine speed n, clutch pedal signal, brake pedal signal and the acceleration a sen provided by the longitudinal acceleration sensor.

步骤S3:判断是否是空挡滑行数据。如果是,继续执行后续步骤,如果不是返回S2采集下一时刻车辆行驶状态信息。Step S3: judging whether it is neutral sliding data. If yes, continue to perform the subsequent steps, if not, return to S2 to collect vehicle driving state information at the next moment.

步骤S4:计算整车质量表达式。Step S4: Calculate the vehicle mass expression.

首先计算滑行阻力。整车纵向受力平衡方程被运用于滑行阻力表达式的推导。整车纵向受力平衡方程为:First calculate the sliding resistance. The longitudinal force balance equation of the whole vehicle is used in the derivation of the sliding resistance expression. The longitudinal force balance equation of the vehicle is:

Ft=Ff+Fw+Fi+Fj (1)F t =F f +F w +F i +F j (1)

其中,

Figure BDA0001318672110000042
为空气阻力;
Figure BDA0001318672110000043
为汽车驱动力;
Figure BDA0001318672110000044
为车轮加速阻力;
Figure BDA0001318672110000045
为飞轮加速阻力;
Figure BDA0001318672110000046
为变速器传动比与主减速器传动比的乘积;av是车辆行驶加速度,是车速的导数。接下来将加速阻力改写为:in,
Figure BDA0001318672110000042
is air resistance;
Figure BDA0001318672110000043
for the driving force of the car;
Figure BDA0001318672110000044
resistance for wheel acceleration;
Figure BDA0001318672110000045
Acceleration resistance for the flywheel;
Figure BDA0001318672110000046
is the product of the transmission ratio and the final gear ratio; a v is the driving acceleration of the vehicle, which is the derivative of the vehicle speed. Next, rewrite the acceleration resistance as:

Fj=Fja+Fjw+Fjf (2)F j =F ja +F jw +F jf (2)

其中,Fja为整车平动加速阻力(Fja=mav);Fjw为车轮转动加速阻力

Figure BDA0001318672110000047
Fjf为飞轮转动加速阻力
Figure BDA0001318672110000048
Among them, F ja is the vehicle translational acceleration resistance (F ja =ma v ); F jw is the wheel rotational acceleration resistance
Figure BDA0001318672110000047
F jf is the acceleration resistance of flywheel rotation
Figure BDA0001318672110000048

将(2)式的表达带入(1)整理为:Bring the expression of (2) into (1) and organize it as:

Ft=Ff+Fw+Fi+Fja+Fjw+Fjf (3)F t =F f +F w +F i +F ja +F jw +F jf (3)

根据整车纵向受力平衡方程,在空挡滑行的过程中无驱动力和由发动机飞轮产生的惯性力,最终可得滑行阻力表达式:Fwjw=-Fw-FjwAccording to the longitudinal force balance equation of the whole vehicle, there is no driving force and inertial force generated by the engine flywheel during the neutral sliding process, and finally the sliding resistance expression can be obtained: F wjw = -F w -F jw .

另一方面,加速度传感器的测量值定义为:asen=gi+av,其中,asen是加速度传感器采集到的加速度值(单位m/s2)。根据加速度传感器定义式可得到含加速度传感器信息的滚动阻力系数辨识模型:On the other hand, the measurement value of the acceleration sensor is defined as: a sen =gi+ av , where a sen is the acceleration value (unit m/s 2 ) collected by the acceleration sensor. According to the definition of the acceleration sensor, the rolling resistance coefficient identification model containing the information of the acceleration sensor can be obtained:

Fwjw=m(gf+asen) (4)F wjw = m(gf+a sen ) (4)

然后利用差分的行驶方程式计算整车质量表达式。首先计算滑行阻力的差分量ΔFres,加速度传感器的差分量Δasen和车速平方值的差分量Δv2,然后根据差分的行驶方程式建立整车质量表达式为:M=ΔFwjw/Δasen Then use the differential driving equation to calculate the vehicle mass expression. First calculate the differential component ΔF res of the sliding resistance, the differential component Δa sen of the acceleration sensor and the differential component Δv 2 of the square value of the vehicle speed, and then establish the vehicle mass expression according to the differential driving equation: M=ΔF wjw /Δa sen

步骤S5:计算滚动阻力系数初步结果。Step S5: Calculate the preliminary result of the rolling resistance coefficient.

将整车质量表达式带入不含驱动力的行驶方程式,利用带遗忘因子的最小二乘算法估计该采样时刻(i)滚动阻力系数初步结果

Figure BDA0001318672110000051
最小二乘的输入量为X=ΔFwjwg,输出量为Y=FwjwΔasen-asenΔFwjw Bring the vehicle mass expression into the driving equation without driving force, and use the least squares algorithm with forgetting factor to estimate the initial result of the rolling resistance coefficient at the sampling time (i)
Figure BDA0001318672110000051
The input quantity of the least squares is X=ΔF wjw g, and the output quantity is Y=F wjw Δa sen -a sen ΔF wjw

步骤S6:对初步辨识结果利用在线K均值聚类,更新聚类中心。Step S6: Use online K-means clustering on the preliminary identification result to update the cluster center.

计算滚动阻力系数初步结果至各类聚类中心的距离

Figure BDA0001318672110000052
待聚类点归类至距离最短的一类。更新输入量的聚类中心
Figure BDA0001318672110000053
其中Fm(i)和Fm(i-1)分别是当前采样时刻以及前一采样时刻第m类的聚类中心。Calculate the distance from the preliminary results of the rolling resistance coefficient to the centers of various clusters
Figure BDA0001318672110000052
The points to be clustered are classified into the class with the shortest distance. Update the cluster centers of the input
Figure BDA0001318672110000053
where F m (i) and F m (i-1) are the cluster centers of the mth class at the current sampling time and the previous sampling time, respectively.

步骤S7:计算各类数据的占比,判断当前采样时刻的数据是否是数据量占比最大的一类。如果是,执行后续步骤,如果不是,返回S2重新采集行驶状态信息。Step S7: Calculate the proportions of various types of data, and determine whether the data at the current sampling time is the category with the largest proportion of data. If yes, perform the following steps, if not, return to S2 to collect the driving state information again.

步骤S8:滚动阻力系数进一步辨识。利用最小二乘算法对滚动阻力系数进一步辨识。Step S8: The rolling resistance coefficient is further identified. The rolling resistance coefficient is further identified by the least squares algorithm.

步骤S9:计算各类数据量,判断是否满足终止条件。当数据量最大的类满足一定数量时判别算法终止。本实施例推荐的数据数量是2000个。Step S9: Calculate the amount of various types of data, and determine whether the termination condition is satisfied. The discriminant algorithm terminates when the class with the largest amount of data satisfies a certain number. The recommended data quantity in this embodiment is 2000.

Claims (1)

1. An online identification method for a tire rolling resistance coefficient is an online clustering identification model for the rolling resistance coefficient established based on vehicle running state information and vehicle-mounted longitudinal acceleration information, and is characterized by comprising the following steps:
s1. model initialization
Loading fixed parameters required by the model, wherein the fixed parameters comprise vehicle parameters and algorithm parameters;
the vehicle-finishing parameters comprise vehicle transmission efficiency η, tire rolling radius r and vehicle running acceleration avFlywheel moment of inertia IfWheel moment of inertia IwAir resistance coefficient CDThe windward area A of the whole vehicle, the air density rho and the gravity acceleration g;
the algorithm parameters include: number of clusters m, m initial cluster centers
Figure FDA0002110944260000011
S2, collecting vehicle running state information
The CAN bus information that needs to be synchronously acquired at each sampling moment includes: speed v of whole vehicle, engine speed n, clutch pedal signal, brake pedal signal and acceleration a provided by longitudinal acceleration sensorsen
S3, judging whether the data is neutral gear sliding data or not, and if so, continuing to execute the subsequent steps; if not, returning to the step S2 to collect the vehicle running state information at the next moment;
s4, calculating the whole vehicle mass expression
Firstly, calculating the longitudinal running sliding resistance of the whole vehicle, namely Fwjw=-Fw-Fjw
In the formula:
Figure FDA0002110944260000012
is the air resistance;
Figure FDA0002110944260000013
is the wheel inertia force; a isvIs the vehicle travel acceleration, is the derivative of the vehicle speed;
and then calculating the expression of the mass of the whole vehicle by using a difference method: first, a difference amount Δ F of the sliding resistance is calculatedwjwDifferential quantity of acceleration sensor DeltaasenDifference Δ v from the square value of vehicle speed2Then, establishing a whole vehicle mass expression according to the differential running equation as follows: m ═ Δ Fwjw/Δasen
S5, calculating a rolling resistance coefficient preliminary result
Substituting the whole vehicle mass expression into a running equation without driving force, and estimating the initial result of the rolling resistance coefficient at the sampling moment i by using a least square algorithm with a forgetting factor
Figure FDA0002110944260000014
The input quantity of least square is X ═ Δ Fwjwg, output amount is Y ═ FwjwΔasen-asenΔFwjw
S6, utilizing the online K mean value clustering to the primary identification result to update the clustering center
Calculating the distance from the initial result of the rolling resistance coefficient to various cluster centers
Figure FDA0002110944260000021
Classifying the points to be clustered into a class with the shortest distance; updating cluster centers of input quantities
Figure FDA0002110944260000022
Wherein Fm(i) And Fm(i-1) clustering centers of the mth class at the current sampling moment and the previous sampling moment respectively;
s7, calculating the ratio of various types of data, and judging whether the data at the current sampling moment is the type with the largest data volume ratio; if yes, executing the subsequent steps, and if not, returning to the step S2 to collect the driving state information again;
s8, further identifying the rolling resistance coefficient by using a least square algorithm;
and S9, calculating various data volumes, judging whether a termination condition is met or not, and judging that the algorithm is terminated when the class with the largest data volume meets the set number.
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