CN106908248A - The double regular empirical parameter automatic calibrating methods of weber burning of self-identifying list - Google Patents

The double regular empirical parameter automatic calibrating methods of weber burning of self-identifying list Download PDF

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CN106908248A
CN106908248A CN201710173226.5A CN201710173226A CN106908248A CN 106908248 A CN106908248 A CN 106908248A CN 201710173226 A CN201710173226 A CN 201710173226A CN 106908248 A CN106908248 A CN 106908248A
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weber
combustion
data
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fraction
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王银燕
胡松
王贺春
杨传雷
袁帅
周鹏程
吕游
刘晓梅
杨鹏
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Harbin Engineering University
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    • G01MEASURING; TESTING
    • G01MTESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
    • G01M15/00Testing of engines
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Abstract

本发明的目的在于提供自识别单双韦伯燃烧规则经验参数自动校准方法。本发明根据已燃分数试验数据判断需要选取的韦伯方程个数:对于韦伯方程个数为1时,采用代数分析得出韦伯参数的初步估计值,然后采用最小二乘算法得出最终估计值。对于韦伯方程个数为2时,采用燃烧相位分离点确定方法得出燃烧相位分离点,将已燃分数试验数据按燃烧相位分离点分成两部分并进行相应的处理,分别对两部分数据采用代数分析得出韦伯参数初步估计值,再采用最小二乘算法得出最终估计值。本发明可实现自识别韦伯方程个数并对韦伯方程参数进行自动校准,从而能够快速且精确搭建基于韦伯燃烧规则的零维燃烧模型,并能保证校准结果的稳定性和最优性。

The purpose of the present invention is to provide an automatic calibration method for empirical parameters of self-identifying single and double Weber combustion rules. The present invention judges the number of Weber equations to be selected according to the test data of the burned fraction: when the number of Weber equations is 1, algebraic analysis is used to obtain the preliminary estimated value of the Weber parameter, and then the least square algorithm is used to obtain the final estimated value. When the number of Weber's equations is 2, the combustion phase separation point is obtained by using the combustion phase separation point determination method, and the burned fraction test data is divided into two parts according to the combustion phase separation point and processed accordingly. The preliminary estimated value of Weber parameter was obtained through analysis, and then the final estimated value was obtained by the least square algorithm. The invention can realize the self-identification of the number of Weber equations and automatically calibrate the parameters of the Weber equations, so that a zero-dimensional combustion model based on Weber's combustion rules can be quickly and accurately built, and the stability and optimality of the calibration results can be guaranteed.

Description

自识别单双韦伯燃烧规则经验参数自动校准方法Automatic Calibration Method for Empirical Parameters of Self-identifying Single and Double Weber Combustion Rules

技术领域technical field

本发明涉及的是一种内燃机燃烧参数校准方法。The invention relates to a method for calibrating combustion parameters of an internal combustion engine.

背景技术Background technique

为了解决日益严重的环境污染问题,国际排放法规越来越苛刻,限制发动机的有害排放物,致使生产厂家,对发动机的排放控制看得尤为重要。而柴油机的排放特性与缸内燃烧过程有着密切的联系,因此实现对燃烧过程的实时控制对发动机的排放控制具有重要意义。随着计算机技术的迅猛发展,计算机仿真技术拥有了蓬勃的生命力,通过对现实系统的抽象模仿,抽象出系统模型,人们在计算机上对这样的模型进行模拟试验研究,既降节约了科研和生产成本,降低了风险,也提高了科研效率。那么系统模型的可靠性和准确性,直接决定仿真结果的可靠性和准确性。在内燃机领域,基于韦伯(Wiebe)燃烧规则的零维燃烧模型形式简单,建模难度小,同时在一定的工况范围内具备一定的仿真精度。以此韦伯Wiebe)燃烧模型为基础,众多研究者们成功的对直喷,非直喷,二冲程柴油机进行了缸内压力和温度的预测。韦伯Wiebe)燃烧规则的经验参数会直接影响韦伯(Wiebe)燃烧模型的准确性,有文献对韦伯(Wiebe)燃烧模型的经验参数如何校准进行了研究,比如代数分析方法和最小二乘算法,但是代数分析方法和最小二乘算法各有优缺点。前者稳定性好,不需要给定初值,但不能保证校准参数的最优性;后者可保证校准参数的局部最优性,但是收敛性和校准结果依赖于给定的初值。因此有必要考虑将两种方法进行结合,使两者优缺点互补,最终实现快速且精确地校准韦伯燃烧规则经验参数。研究表明,单韦伯(Wiebe)燃烧规则只适用于一种燃烧相位或者带有轻微混合的两种燃烧相位的燃烧过程仿真,而对于明显两种燃烧相位掺混的燃烧过程不能实现较好仿真。双韦伯(Wiebe)燃烧规则可以对两种燃烧相位掺混的燃烧过程进行较好仿真,但是校准难度较高,因此单双韦伯(Wiebe)方程个数的选择需要在校准难度和精度之间权衡折中。对于给定的燃烧过程,如何自动识别所需采用的韦伯(Wiebe)方程个数并自动校准得出韦伯(Wiebe)方程经验参数十分关键。In order to solve the increasingly serious environmental pollution problem, the international emission regulations are becoming more and more stringent, restricting the harmful emissions of the engine, so that the manufacturers regard the emission control of the engine as particularly important. The emission characteristics of diesel engines are closely related to the combustion process in the cylinder, so realizing the real-time control of the combustion process is of great significance to the emission control of the engine. With the rapid development of computer technology, computer simulation technology has a vigorous vitality. Through the abstract imitation of the real system, the system model is abstracted, and people conduct simulation experiments on such models on the computer, which saves scientific research and production. Costs are reduced, risks are reduced, and scientific research efficiency is improved. Then the reliability and accuracy of the system model directly determine the reliability and accuracy of the simulation results. In the field of internal combustion engines, the zero-dimensional combustion model based on the Weber (Wiebe) combustion rule is simple in form, less difficult to model, and has a certain simulation accuracy within a certain range of operating conditions. Based on this Weber (Wiebe) combustion model, many researchers have successfully predicted the in-cylinder pressure and temperature of direct injection, non-direct injection and two-stroke diesel engines. The empirical parameters of the Weber (Wiebe) combustion rule will directly affect the accuracy of the Weber (Wiebe) combustion model. Some literatures have studied how to calibrate the empirical parameters of the Weber (Wiebe) combustion model, such as algebraic analysis methods and least squares algorithms, but Both the algebraic analysis method and the least squares algorithm have advantages and disadvantages. The former has good stability and does not need to give an initial value, but it cannot guarantee the optimality of the calibration parameters; the latter can guarantee the local optimality of the calibration parameters, but the convergence and calibration results depend on the given initial value. Therefore, it is necessary to consider the combination of the two methods, so that the advantages and disadvantages of the two complement each other, and finally realize the rapid and accurate calibration of the empirical parameters of Weber's combustion rule. The research shows that the single-Wiebe combustion rule is only suitable for the combustion process simulation of one combustion phase or two combustion phases with slight mixing, but it cannot achieve a good simulation for the combustion process of the obvious mixture of two combustion phases. The double Weber (Wiebe) combustion rule can better simulate the combustion process of the two combustion phases mixed, but the calibration is difficult, so the selection of the number of single and double Wiebe equations needs to be a trade-off between calibration difficulty and accuracy compromise. For a given combustion process, how to automatically identify the number of Wiebe equations to be used and automatically calibrate to obtain the empirical parameters of the Wiebe equations is very critical.

发明内容Contents of the invention

本发明的目的在于提供以已燃分数试验数据为依托快速而精确地自动校准参数的自识别单双韦伯燃烧规则经验参数自动校准方法。The purpose of the present invention is to provide a self-identifying single and double Weber combustion rule empirical parameter automatic calibration method based on the burned fraction test data, which can quickly and accurately automatically calibrate parameters.

本发明的目的是这样实现的:The purpose of the present invention is achieved like this:

本发明自识别单双韦伯燃烧规则经验参数自动校准方法,其特征是:The self-recognition method for automatic calibration of empirical parameters of single and double Weber combustion rules of the present invention is characterized in that:

(1)对柴油机进行燃烧试验,收集试验数据序列其中为曲轴转角,xb为和对应的已燃分数,燃烧拟合起始角取为1%的已燃分数对应的曲轴转角,燃烧拟合终点角取为99%的已燃分数对应的曲轴转角;(1) Carry out combustion test on diesel engine and collect test data sequence in is the crankshaft angle, x b is and Corresponding burnt fraction, combustion fitting start angle Take it as the crankshaft angle corresponding to the burned fraction of 1%, and the combustion fitting end angle Take it as the crankshaft angle corresponding to the burned fraction of 99%;

(2)将试验数据序列线性化:根据已燃分数试验数据序列首先计算得出的初步估计值其中 为已燃分数为零时对应的曲轴转角,如果已燃分数试验数据始终大于零,以数据始点对应曲轴转角作为将单韦伯方程进行线性化,令 实现将试验数据序列的线性化,线性化后的数据序列为 (2) The test data sequence Linearization: Experimental data series based on fraction burned first calculated with preliminary estimate of with in is the corresponding crankshaft angle when the burnt fraction is zero. If the burnt fraction test data is always greater than zero, the crankshaft angle corresponding to the data starting point is taken as Linearizing the single Weber equation, let The implementation will test the data sequence The linearization of , the data sequence after linearization is

(3)确定韦伯方程个数:预设为数据序列进行线性拟合,得出拟合精度R2,设定单双韦伯识别度E,若R2≥E,韦伯方程个数识别为1;若R2<E,韦伯方程个数识别为2;(3) Determine the number of Weber equations: defaults to right The data sequence is linearly fitted to obtain the fitting accuracy R 2 , and set the single and double Weber recognition degree E. If R 2 ≥ E, the number of Weber equations is recognized as 1; if R 2 < E, the number of Weber equations is recognized as 2;

(4)针对确定的韦伯方程个数采用相应的韦伯参数自动校准方法,得出韦伯方程参数校准结果:(4) For the determined number of Weber equations, the corresponding Weber parameter automatic calibration method is adopted to obtain the Weber equation parameter calibration result:

韦伯方程个数识别为1时,根据已燃分数试验值,首先得出的初步估计值其中 为已燃分数为零时对应的曲轴转角,如果已燃分数试验数据始终大于零,以数据始点对应曲轴转角作为然后对数据序列进行线性拟合,得出拟合斜率A,由m0=A-1计算得出m0,其中m0为燃烧指数的初始值;然后由计算出燃烧效率因数a;以作为待拟合方程,以m0分别作为m、的迭代初值,采用非线性最小二乘算法拟合得出m、的最终估计值;When the number of Weber's equations is identified as 1, according to the experimental value of the burned fraction, it is first obtained that with preliminary estimate of with in is the corresponding crankshaft angle when the burnt fraction is zero. If the burnt fraction test data is always greater than zero, the crankshaft angle corresponding to the data starting point is taken as Then for the data sequence Carry out linear fitting to obtain the fitting slope A, and m 0 is calculated by m 0 =A-1, where m 0 is the initial value of the combustion index; then by Calculate the combustion efficiency factor a; As the equation to be fitted, m 0 , with respectively as m, with The iterative initial value is obtained by fitting the non-linear least squares algorithm to obtain m, with the final estimate of

韦伯方程个数识别为2时,根据已燃分数试验值,首先得出的初步估计值其中 为已燃分数为零时对应的曲轴转角,如果已燃分数试验数据始终大于零,以数据始点对应曲轴转角作为然后对线性化后的数据确认燃烧相位分离点p,即是找到一个点p使得此点之前和之后的数据分别进行直线拟合的综合R2精度达到最大;根据燃烧相位分离点p将已燃分数试验数据序列分成两部分,即其中x1b=[xb(1),xb(2),…,xb(p)],x2b=[xb(p+1),xb(p+2),…,xb(n)];α0=xb(p)作为预混燃烧比例初始值,并对x1b和x2b进行归一化处理: 分别实现将线性化,对两部分数据序列分别进行线性拟合,分别得出拟合斜率A1和A2,由m10=A1-1、m20=A2-1分别得出m10和m20,其中m10和m20分别为预混燃烧燃烧指数初始值,扩散燃烧燃烧指数初始值;以α0、m10m20分别作为α、m1、m2、的迭代初值,采用非线性最小二乘算法拟合得出α、m1、m2、的最终估计值;When the number of Weber's equations is identified as 2, according to the experimental value of the burnt fraction, first obtain with preliminary estimate of with in is the corresponding crankshaft angle when the burnt fraction is zero. If the burnt fraction test data is always greater than zero, the crankshaft angle corresponding to the data starting point is taken as Then for the linearized The data confirm the combustion phase separation point p, that is, to find a point p such that the points before and after this point with The comprehensive R 2 accuracy of straight line fitting to the data reaches the maximum; according to the combustion phase separation point p, the burnt fraction test data sequence into two parts, namely with in x1 b = [x b (1), x b (2), ..., x b (p)], x2 b = [x b (p+1), x b (p+2),..., x b (n)]; α 0 =x b (p) is used as the initial value of the premixed combustion ratio, and x1 b and x2 b are normalized: make respectively realize the with linearization, yes with The two parts of the data series are linearly fitted respectively, and the fitting slopes A 1 and A 2 are obtained respectively, and m1 0 and m2 0 are respectively obtained from m1 0 =A 1 -1, m2 0 =A 2 -1, where m1 0 and m2 0 are the initial values of combustion index of premixed combustion and combustion index of diffusion combustion respectively; with α 0 , m1 0 , m2 0 , with as α, m1, m2, with The iterative initial value of α, m1, m2, with the final estimate of

(5)输出韦伯方程个数及对应韦伯方程参数集,从而完成自识别单双韦伯燃烧规则并自动校准得出韦伯燃烧规则的经验参数。(5) Output the number of Weber equations and the corresponding Weber equation parameter sets, so as to complete the self-identification of single and double Weber combustion rules and automatically calibrate to obtain the empirical parameters of Weber combustion rules.

本发明还可以包括:The present invention may also include:

1、燃烧相位分离点p的确定方法如下:1. The determination method of combustion phase separation point p is as follows:

假设数据分离点i将数据序列分成两部分,第i个数据之前的部分为第i个数据之后的部分为分别进行直线拟合,两部分数据的线性拟合精度分别为R2 1和R2 2,综合精度R2为:R2(i)=[R2 1×i+R2 2×(n-i)]/n,其中n为总的数据个数,可使数据分离点i由1~n变化,依次分别求出综合精度R2,然后取使得综合精度R2达到最大值时的数据分离点i作为燃烧相位分离点p。Suppose the data separation point i will be the data sequence Divided into two parts, the part before the i-th data is The part after the i-th data is right with Carry out linear fitting respectively, the linear fitting precision of the two parts of data is R 2 1 and R 2 2 respectively, and the comprehensive precision R 2 is: R 2 (i)=[R 2 1 ×i+R 2 2 ×(ni) ]/n, where n is the total number of data, the data separation point i can be changed from 1 to n, and the comprehensive precision R 2 is calculated in turn, and then the data separation point i when the comprehensive precision R 2 reaches the maximum value is taken As the combustion phase separation point p.

本发明的优势在于:本发明根据韦伯(Wiebe)燃烧规则,以已燃分数试验数据为依托,采用原创的自识别单双韦伯(Wiebe)算法,自动识别韦伯(Wiebe)方程个数,并根据识别到的韦伯(Wiebe)方程个数采用相应的韦伯参数自动校准算法,最终实现快速且精确地自动校准得出韦伯燃烧规则经验参数的方法。自识别单双韦伯(Wiebe)燃烧规则经验参数自动校准方法采用原创的单双韦伯(Wiebe)自识别算法实现自动识别韦伯(Wiebe)方程个数,将代数分析方法和最小二乘算法结合,使两者优缺点互补,实现韦伯(Wiebe)燃烧规则经验参数的自动校准,此方法自动识别韦伯(Wiebe)方程个数,参数校准时收敛性和稳定性较好,精确度较高,为业内研究人员选择单双韦伯(Wiebe)燃烧规则以及校准韦伯(Wiebe)燃烧规则经验参数提供极大便利。The advantage of the present invention is: the present invention is according to Weber (Wiebe) combustion rule, relying on the test data of burned fraction, adopts original self-recognition odd and double Weber (Wiebe) algorithm, automatically recognizes the number of Weber (Wiebe) equations, and according to The number of identified Weber (Wiebe) equations adopts the corresponding automatic calibration algorithm of Wiebe parameters, and finally realizes the method of fast and accurate automatic calibration to obtain the empirical parameters of the Wiebe combustion rule. Self-recognition single and double Wiebe combustion rule empirical parameter automatic calibration method adopts original single and double Wiebe self-recognition algorithm to realize automatic recognition of the number of Wiebe equations, and combines algebraic analysis method and least square algorithm to make The advantages and disadvantages of the two complement each other to realize the automatic calibration of the empirical parameters of the Weber (Wiebe) combustion rule. This method automatically recognizes the number of Weber (Wiebe) equations. The convergence and stability of the parameter calibration are better, and the accuracy is higher. It is a research in the industry. It provides great convenience for personnel to select single and double Wiebe combustion rules and to calibrate empirical parameters of Wiebe combustion rules.

附图说明Description of drawings

图1为本发明的流程图。Fig. 1 is a flowchart of the present invention.

具体实施方式detailed description

下面结合附图举例对本发明做更详细地描述:The present invention is described in more detail below in conjunction with accompanying drawing example:

结合图1,常用于内燃机零维燃烧建模的单、双韦伯(Wiebe)燃烧规则,分别如式(1)和式(2)所示的参数方程。Combined with Figure 1, the single and double Wiebe combustion rules commonly used in the zero-dimensional combustion modeling of internal combustion engines are shown in the parameter equations shown in equations (1) and (2) respectively.

式(1)中:xb为已燃燃料百分数;m为燃烧品质指数;a为燃烧效率因子;—瞬时曲轴转角;—燃烧持续角;—燃烧始点。其中m、a、和为待校准经验参数。式(2)中:xb为已燃燃料百分数;m1和m2分别为第一韦伯(Wiebe)和第二韦伯(Wiebe)方程的燃烧品质指数;a1和a2分别为第一韦伯(Wiebe)和第二韦伯(Wiebe)方程的燃烧效率因子;—瞬时曲轴转角;分别为第一韦伯(Wiebe)和第二韦伯(Wiebe)方程的燃烧持续角;分别为第一韦伯(Wiebe)和第二韦伯(Wiebe)方程的燃烧始点。其中α、m1、m2为待校准经验参数。In formula (1): x b is the percentage of burned fuel; m is the combustion quality index; a is the combustion efficiency factor; — Instantaneous crankshaft angle; — combustion duration angle; - The starting point of combustion. where m, a, with and are empirical parameters to be calibrated. In formula (2): x b is the percentage of burned fuel; m 1 and m 2 are the combustion quality indices of the first Wiebe and second Wiebe equations; a 1 and a 2 are the first Wiebe (Wiebe) and the combustion efficiency factor of the second Weber (Wiebe) equation; — Instantaneous crankshaft angle; with are the combustion duration angles of the first and second Wiebe equations, respectively; with are the starting points of combustion for the first and second Wiebe equations, respectively. where α, m 1 , m 2 , with is the empirical parameter to be calibrated.

首先以点火始点试验值作为燃烧始点的预估值作为燃烧持续期的估计值对已燃分数试验数据根据韦伯(Wiebe)方程进行线性化处理;然后对处理后的试验数据采用线性拟合,以线性拟合的R2精度作为衡量采用韦伯(Wiebe)方程个数的标准,以人为设定值E作为韦伯(Wiebe)方程个数的识别度,当R2≥E,韦伯(Wiebe)方程个数选为1,当R2<E,韦伯(Wiebe)方程个数选为2;根据确定的韦伯方程个数采用相应的韦伯(Wiebe)参数自动校准方法,最终得出校准好的韦伯(Wiebe)方程经验参数。韦伯方程个数为1时,首先采用代数分析方法得出韦伯(Wiebe)方程参数初步估计值,然后以此作为韦伯(Wiebe)参数迭代初值,采用非线性最小二乘算法校准得出韦伯(Wiebe)参数的最终估计值。韦伯方程个数为2时,首先采用本发明提出的燃烧相位分离点确定方法得出燃烧相位分离点,其次根据燃烧相位分离点将试验数据分成两部分,并对这两部分数据分别进行相应处理,然后对处理后的两部分数据分别采用代数分析方法得出韦伯(Wiebe)方程初步估计值,最后采用非线性最小二乘算法校准得出双韦伯(Wiebe)方程经验参数最终估计值。Firstly, the ignition start point test value is used as the estimated value of the combustion start point by as burning duration The estimated value of the burned fraction test data is linearized according to the Weber (Wiebe) equation; then the processed test data is used for linear fitting, and the R2 accuracy of the linear fitting is used as a measure of the number of Weber ( Wiebe) equations The standard of , taking the artificially set value E as the recognition degree of the number of Weber (Wiebe) equations, when R 2 ≥ E, the number of Weber (Wiebe) equations is selected as 1, when R 2 <E, the number of Weber (Wiebe) equations The number is selected as 2; according to the determined number of Weber equations, the corresponding automatic calibration method of Weber (Wiebe) parameters is adopted, and finally the calibrated empirical parameters of Weber (Wiebe) equations are obtained. When the number of Weber equations is 1, the algebraic analysis method is first used to obtain the preliminary estimated value of the parameters of the Weber (Wiebe) equation, and then it is used as the initial value of the iteration of the Weber (Wiebe) parameter, and the nonlinear least square algorithm is used to calibrate the Weber ( The final estimate of the Wiebe) parameters. When the number of Weber's equations is 2, first adopt the combustion phase separation point determination method proposed by the present invention to obtain the combustion phase separation point, and then divide the test data into two parts according to the combustion phase separation point, and carry out corresponding processing on the two parts of data respectively , and then use the algebraic analysis method to obtain the preliminary estimated value of the Wiebe equation for the two parts of the processed data, and finally use the nonlinear least squares algorithm to calibrate to obtain the final estimated value of the empirical parameters of the double Wiebe equation.

自识别单双韦伯(Wiebe)燃烧规则经验参数自动校准方法,计算流程如下:The automatic calibration method of empirical parameters of self-identifying single and double Weber (Wiebe) combustion rules, the calculation process is as follows:

步骤一:导入测定的已燃分数试验数据序列其中为曲轴转角,xb为和对应的已燃分数,燃烧拟合起始角取为略大于0(优选为1%)的已燃分数对应的曲轴转角,燃烧拟合终点角取为略小于1(优选为99%)的已燃分数对应的曲轴转角,并提取之间的试验数据。Step 1: Import the measured burnt fraction test data sequence in is the crankshaft angle, x b is and Corresponding burnt fraction, combustion fitting start angle Taken as the crankshaft angle corresponding to the burned fraction slightly greater than 0 (preferably 1%), the combustion fitting end angle Take the crank angle corresponding to the burnt fraction slightly less than 1 (preferably 99%), and extract between test data.

步骤二:将试验数据序列线性化。根据已燃分数试验数据序列首先计算得出的初步估计值其中 为已燃分数为零时对应的曲轴转角(为提高该方法的适用性和稳定性,如果已燃分数试验数据始终大于零,以数据始点对应曲轴转角作为)。将单韦伯方程进行线性化,令实现将试验数据序列的线性化,线性化后的数据序列为 Step 2: Put the test data sequence linearization. According to burnt fraction test data series first calculated with preliminary estimate of with in is the corresponding crankshaft angle when the burnt fraction is zero (in order to improve the applicability and stability of the method, if the burnt fraction test data is always greater than zero, the crankshaft angle corresponding to the data starting point is taken as ). Linearizing the single Weber equation, let The implementation will test the data sequence The linearization of , the data sequence after linearization is

步骤三:确定韦伯(Wiebe)方程个数。预设为数据序列进行线性拟合,得出拟合精度R2,设定单双韦伯(Wiebe)识别度E(E通常选取为0.99~1之间的数,优选为0.995),若R2≥E,韦伯(Wiebe)方程个数识别为1;若R2<E,韦伯(Wiebe)方程个数识别为2。Step 3: Determine the number of Wiebe equations. defaults to right Perform linear fitting on the data sequence to obtain the fitting accuracy R 2 , and set the single and double Wiebe recognition degree E (E is usually selected as a number between 0.99 and 1, preferably 0.995), if R 2 ≥ E, The number of Wiebe equations is identified as 1; if R 2 <E, the number of Wiebe equations is identified as 2.

步骤四:针对步骤三确定的韦伯方程个数采用相应的韦伯参数自动校准方法,得出韦伯方程参数校准结果。韦伯(Wiebe)方程个数识别为1时,根据已燃分数试验值,首先得出的初步估计值其中 为已燃分数为零时对应的曲轴转角(为提高该方法的适用性和稳定性,如果已燃分数试验数据始终大于零,以数据始点对应曲轴转角作为);然后对数据序列进行线性拟合,得出拟合斜率A,由m0=A-1计算得出m0,其中m0为燃烧指数的初始值;然后由计算出燃烧效率因数a,优选为定值4.605,对应于0%~99%已燃分数燃烧持续期;以权利要求1中的式(1)作为待拟合方程,以m0分别作为m、的迭代初值,采用非线性最小二乘算法拟合得出m、的最终估计值。韦伯(Wiebe)方程个数识别为2时,根据已燃分数试验值,首先得出的初步估计值其中 为已燃分数为零时对应的曲轴转角(为提高该方法的适用性和稳定性,如果已燃分数试验数据始终大于零,以数据始点对应曲轴转角作为);然后对线性化后的数据确认燃烧相位分离点p,即是找到一个点p使得此点之前和之后的数据分别进行直线拟合的综合R2精度达到最大;根据燃烧相位分离点p将已燃分数试验数据序列分成两部分,即其中x1b=[xb(1),xb(2),…,xb(p)],x2b=[xb(p+1),xb(p+2),…,xb(n)]。α0=xb(p)作为预混燃烧比例初始值,并对x1b和x2b进行归一化处理: 分别实现将线性化,对两部分数据序列分别进行线性拟合,分别得出拟合斜率A1和A2,由m10=A1-1、m20=A2-1分别得出m10和m20,其中m10和m20分别为预混燃烧燃烧指数初始值,扩散燃烧燃烧指数初始值;a1和a2均优选为定值4.605(不局限于4.605),对应于0%~99%已燃分数燃烧持续期,作为预混燃烧和扩散燃烧效率因数。以α0、m10m20分别作为α、m1、m2、的迭代初值,采用非线性最小二乘算法拟合得出α、m1、m2、的最终估计值。Step 4: According to the number of Weber equations determined in step 3, the corresponding Weber parameter automatic calibration method is adopted to obtain the Weber equation parameter calibration result. When the number of Wiebe equations is identified as 1, according to the experimental value of the burnt fraction, firstly get with preliminary estimate of with in is the corresponding crankshaft angle when the burnt fraction is zero (in order to improve the applicability and stability of the method, if the burnt fraction test data is always greater than zero, the crankshaft angle corresponding to the data starting point is taken as ); then the data sequence Carry out linear fitting to obtain the fitting slope A, and m 0 is calculated by m 0 =A-1, where m 0 is the initial value of the combustion index; then by Calculate the combustion efficiency factor a, which is preferably a fixed value of 4.605, corresponding to the combustion duration of 0% to 99% of the burned fraction; with the formula (1) in claim 1 as the equation to be fitted, with m 0 , with respectively as m, with The iterative initial value is obtained by fitting the non-linear least squares algorithm to obtain m, with final estimate of . When the number of Wiebe equations is identified as 2, according to the experimental value of the burnt fraction, firstly get with preliminary estimate of with in is the corresponding crankshaft angle when the burnt fraction is zero (in order to improve the applicability and stability of the method, if the burnt fraction test data is always greater than zero, the crankshaft angle corresponding to the data starting point is taken as ); then the linearized The data confirm the combustion phase separation point p, that is, to find a point p such that the points before and after this point with The comprehensive R 2 accuracy of straight line fitting to the data reaches the maximum; according to the combustion phase separation point p, the burnt fraction test data sequence into two parts, namely with in x1 b = [x b (1), x b (2), ..., x b (p)], x2 b =[x b (p+1), x b (p+2), . . . , x b (n)]. α 0 =x b (p) is used as the initial value of the premixed combustion ratio, and x1 b and x2 b are normalized: make respectively realize the with linearization, yes with The two parts of the data series are linearly fitted respectively, and the fitting slopes A 1 and A 2 are obtained respectively, and m1 0 and m2 0 are respectively obtained from m1 0 =A 1 -1, m2 0 =A 2 -1, where m1 0 and m2 0 are the initial value of the combustion index of premixed combustion and the initial value of the combustion index of diffusion combustion; both a1 and a2 are preferably a fixed value of 4.605 (not limited to 4.605), corresponding to the combustion duration of 0% to 99% of the burned fraction, As a premixed combustion and diffusion combustion efficiency factor. With α 0 , m1 0 , m2 0 , with as α, m1, m2, with The iterative initial value of α, m1, m2, with final estimate of .

步骤五:输出韦伯方程个数及对应韦伯方程参数集。Step 5: Output the number of Weber equations and the corresponding parameter set of Weber equations.

至此根据测定的试验数据,就可以自识别单双韦伯(Wiebe)燃烧规则并自动校准得出韦伯燃烧规则的经验参数。So far, according to the measured test data, the empirical parameters of the Wiebe combustion rules can be obtained by self-identifying the single and double Wiebe combustion rules and automatically calibrating.

步骤四中所述的燃烧相位分离点p的确定方法原理如下:The principle of the determination method of the combustion phase separation point p described in step four is as follows:

燃烧相位分离点p。假设数据分离点i将数据序列分成两部分,第i个数据之前的部分为第i个数据之后的部分为分别进行直线拟合,两部分数据的线性拟合精度分别为R2 1和R2 2,综合精度R2定义如下式所示,其中n为总的数据个数,可使数据分离点i由1~n变化,依次分别求出综合精度R2,然后取使得综合精度R2达到最大值时的数据分离点i作为燃烧相位分离点p。Combustion phase separation point p. Suppose the data separation point i will be the data sequence Divided into two parts, the part before the i-th data is The part after the i-th data is right with Carry out linear fitting respectively, the linear fitting precision of the two parts of data is R 2 1 and R 2 2 respectively, the comprehensive precision R 2 is defined as shown in the following formula, where n is the total number of data, the data separation point i can be determined by 1~n are changed, and the comprehensive precision R 2 is calculated respectively in turn, and then the data separation point i when the comprehensive precision R 2 reaches the maximum value is taken as the combustion phase separation point p.

自识别单双韦伯(Wiebe)燃烧规则经验参数自动校准方法具体原理如下:The specific principle of the automatic calibration method of empirical parameters of self-identifying single and double Weber (Wiebe) combustion rules is as follows:

单韦伯方程如式(1)所示。The single Weber equation is shown in formula (1).

对于由xb为0时对应的曲轴转角确定;对于由xb为0~0.99对应的曲轴转角期确定。for Determined by the corresponding crankshaft angle when x b is 0; for It is determined by the crank angle period corresponding to x b being 0-0.99.

通常将50%放热量对应的曲轴转角作为燃烧中心,对应于式(1),即是:Usually 50% of the heat release corresponds to the crankshaft angle As the combustion center, it corresponds to formula (1), that is:

整理可得:Organized to get:

将式(5)转化为:Transform formula (5) into:

由式(6)可知,通过求G和H的斜率即可计算得出m。It can be known from formula (6) that m can be calculated by calculating the slope of G and H.

假设燃烧拟合起始点为xbs,对应的曲轴转角为燃烧拟合终点为xbc,对应的曲轴转角为由式(1)可以得出:Assuming that the starting point of combustion fitting is x bs , the corresponding crankshaft angle is The combustion fitting end point is x bc , and the corresponding crankshaft angle is From formula (1), it can be concluded that:

对于燃烧持续期选为0~99%已燃分数对应的曲轴转角期间时,When the combustion duration is selected as the crank angle period corresponding to the burned fraction of 0-99%,

由式(7)可以看出,对于不同的燃烧持续期和m,a也会不同。本发明a优选为4.605。 It can be seen from formula (7) that for different combustion durations and m, a will be different. The present invention a is preferably 4.605.

将式(1)单韦伯燃烧规则转化为:The single Weber combustion rule of formula (1) is transformed into:

由式(8)可知,m的大小可表示燃烧速度的快慢。It can be seen from formula (8) that the size of m can represent the speed of burning speed.

对于单燃烧相位或轻微双燃烧相位掺混的燃烧过程来说,由于整个燃烧过程中燃烧速度相差不大,因此K和G的线性关系较好,对K和G采用线性拟合的R2精度较高;对于明显双燃烧相位掺混的燃烧过程来说,由于整个燃烧过程中燃烧速度相差较大,因此K和G的线性关系较差,对K和G采用线性拟合的R2精度较低。由以上分析可知,K和G线性拟合的R2精度水平可以表征双燃烧相位掺混的严重程度,E为韦伯方程个数识别度,选取R2≥E作为单韦伯方程标识,选取R2<E作为双韦伯方程标识,以实现单双韦伯自识别功能。本发明中E优选为0.995。单双韦伯方程自识别算法的数学表达式如下:For the combustion process with single combustion phase or slight dual combustion phase blending, the linear relationship between K and G is better because the burning speed is not much different in the whole combustion process, and the R2 accuracy of linear fitting is used for K and G For the combustion process with obvious double combustion phase blending, the linear relationship between K and G is poor due to the large difference in combustion velocity throughout the combustion process, and the R2 accuracy of linear fitting for K and G is relatively low Low. From the above analysis, it can be seen that the R 2 precision level of linear fitting of K and G can characterize the severity of double combustion phase blending, E is the identification degree of the number of Weber equations, and R 2 ≥ E is selected as the identity of a single Weber equation, and R 2 <E is used as the double Weber equation identification to realize the single and double Weber self-identification function. In the present invention, E is preferably 0.995. The mathematical expression of the single and double Weber equation self-identification algorithm is as follows:

式中,Num为韦伯方程个数。In the formula, Num is the number of Weber equations.

对于直喷柴油机,燃烧过程中除了扩散燃烧模式外总是或多或少地存在预混燃烧模式,为了方便双韦伯方程参数校准,找到预混燃烧和扩散燃烧两种燃烧模式的分离点十分关键。本软件采取了一种原创性方法来确定燃烧模式分离点,确认算法描述如下。For direct injection diesel engines, in addition to the diffusion combustion mode, there is always a premixed combustion mode more or less in the combustion process. In order to facilitate the parameter calibration of the double Weber equation, it is very important to find the separation point of the two combustion modes of premixed combustion and diffusion combustion . This software takes an original approach to determine the combustion mode separation point, the validation algorithm is described below.

由式(8)可以看出m的大小可以反映燃烧过程的快慢。对于预混燃烧模式,燃烧速度较快,因此m较小;对于扩散燃烧模式,燃烧速度较慢,因此m较大。燃烧模式分离点即是找到一个点使得此点之前和之后的G和K数据分别进行直线拟合的综合R2精度达到最大。假设对此点(第p个数据点)之前的G和K采用线性拟合的R2精度为R2 1,此点之后的G和K采用线性拟合的R2精度为R2 2,定义综合R2(p)精度为:It can be seen from formula (8) that the size of m can reflect the speed of the combustion process. For the premixed combustion mode, the combustion velocity is faster, so m is smaller; for the diffusion combustion mode, the combustion velocity is slower, so m is larger. The separation point of the combustion mode is to find a point so that the comprehensive R2 accuracy of the G and K data before and after this point is respectively fitted with a straight line to maximize. Assuming that the R 2 precision of linear fitting for G and K before this point (the pth data point) is R 2 1 , and the R 2 precision of linear fitting for G and K after this point is R 2 2 , define The combined R 2 (p) accuracy is:

则,取R2(p)为最大值时对应的p即为所要找的燃烧模式分离点。Then, when R 2 (p) is taken as the maximum value, the corresponding p is the combustion mode separation point to be found.

根据数据分离点p将已燃分数试验数据分成两部分,x1b=xb(1:p),x2b=xb(p+1:end), α0=xb(p),并对x1b和x2b进行处理:对处理后的两拨数据分别进行代数分析,得出m、的预估值,作为最小二乘算法的迭代初始值。Divide the burnt fraction test data into two parts according to the data separation point p, x1 b = x b (1:p), x2 b = x b (p+1:end), α 0 =x b (p), and process x1 b and x2 b : Algebraic analysis is carried out on the processed two sets of data respectively, and m, with The estimated value of is used as the iterative initial value of the least squares algorithm.

最小二乘算法常用于非线性方程拟合问题,其理论如下所述。The least squares algorithm is commonly used in nonlinear equation fitting problems, and its theory is described below.

给定n对自变量和因变量的试验数据(xi,yi),待确定的参数集为β,选取的拟合方程为p(x,β),因此,误差的平方和为:Given n pairs of independent variable and dependent variable test data ( xi , y i ), the parameter set to be determined is β, and the fitting equation selected is p(x, β), therefore, the sum of squares of errors is:

最小二乘算法即是得到一组β使得S(β)最小。The least squares algorithm is to obtain a set of β such that S(β) is the smallest.

本发明优选的最小二乘算法为Levenberg-Marquardt算法。算法计算开始需要给定待校准参数集β的初始值。之后,在每一个迭代步β采用新估计的值β+δ代替。为了确定δ,对方程p(xi,β+δ)进行线性估计:The preferred least squares algorithm of the present invention is the Levenberg-Marquardt algorithm. The initial value of the parameter set β to be calibrated needs to be given at the beginning of the algorithm calculation. Afterwards, at each iteration step β is replaced by the newly estimated value β+δ. To determine δ, the equation p( xi ,β+δ) is estimated linearly:

p(xi,β+δ)=p(xi,β)+Jiδ (12)p( xi ,β+δ)=p( xi ,β)+J i δ (12)

式中为相对于β的梯度。当S(β)达到最小时,S(β)对δ的梯度变为0。根据式(12),式(11)的一阶估计如下式:In the formula is the gradient relative to β. When S(β) reaches the minimum, the gradient of S(β) to δ becomes 0. According to formula (12), the first-order estimate of formula (11) is as follows:

以向量的形式表示为:Expressed in vector form as:

S(β+δ)≈||y-f(β)-Jδ||2 (14)S(β+δ)≈||yf(β)-Jδ|| 2 (14)

式(14)对J求导,并令导函数为零,可得:Equation (14) is derived with respect to J, and the derivative function is set to zero, we can get:

(JTJ)δ=JT[y-f(β)] (15)(J T J)δ=J T [yf(β)] (15)

Levenberg-Marquardt算法对式(15)进行了改进,变为下式:The Levenberg-Marquardt algorithm improves formula (15) and becomes the following formula:

(JTJ+λI)δ=JT[y-f(β)] (16)(J T J+λI)δ=J T [yf(β)] (16)

式中,I为单位矩阵,λ为阻尼系数,用于调整每次迭代的步长。λ为零时,式(16)退化为式(15),为高斯—牛顿算法;λ为较大值时,式(16)退化为梯度下降算法。In the formula, I is the identity matrix, and λ is the damping coefficient, which is used to adjust the step size of each iteration. When λ is zero, formula (16) degenerates into formula (15), which is a Gauss-Newton algorithm; when λ is a larger value, formula (16) degenerates into a gradient descent algorithm.

为了提高式(16)的收敛速度,对式(16)用JTJ代替I,最终的Levenberg-Marquardt算法如下式所示:In order to improve the convergence speed of formula (16), replace I with J T J for formula (16), and the final Levenberg-Marquardt algorithm is shown in the following formula:

(JTJ+λdiag(JTJ))δ=JT[y-f(β)] (17)(J T J+λdiag(J T J))δ=J T [yf(β)] (17)

由于最小二乘算法在计算开始时需要给定待校准参数的初始值,而最小二乘算法的收敛性和迭代计算时间对初始值依赖性较强,且最终的结果不能保证全局最优性,只能保证局部最优性,因此给定较合理的初值十分关键。本发明采用代数分析方法根据试验数据计算得出的韦伯经验参数作为最小二乘算法的初始值,然后进行进一步的迭代计算,如此即可保证校准结果的最优性,又可很大程度提高最小二乘法的收敛性,并能减小迭代计算时间。Since the least squares algorithm needs to give the initial value of the parameters to be calibrated at the beginning of the calculation, the convergence and iterative calculation time of the least squares algorithm are strongly dependent on the initial value, and the final result cannot guarantee the global optimality. Only local optimality can be guaranteed, so it is very important to give a reasonable initial value. The present invention adopts the Weber empirical parameters calculated by the algebraic analysis method according to the test data as the initial value of the least squares algorithm, and then performs further iterative calculations, so that the optimality of the calibration results can be guaranteed, and the minimum value can be greatly improved. The convergence of the square method can reduce the iterative calculation time.

Claims (2)

1.自识别单双韦伯燃烧规则经验参数自动校准方法,其特征是:1. An automatic calibration method for empirical parameters of self-identifying single and double Weber combustion rules, which is characterized by: (1)对柴油机进行燃烧试验,收集试验数据序列其中为曲轴转角,xb为和对应的已燃分数,燃烧拟合起始角取为1%的已燃分数对应的曲轴转角,燃烧拟合终点角取为99%的已燃分数对应的曲轴转角;(1) Carry out combustion test on diesel engine and collect test data sequence in is the crankshaft angle, x b is and Corresponding burnt fraction, combustion fitting start angle Take it as the crankshaft angle corresponding to the burned fraction of 1%, and the combustion fitting end angle Take it as the crankshaft angle corresponding to the burned fraction of 99%; (2)将试验数据序列线性化:根据已燃分数试验数据序列首先计算得出的初步估计值其中 为已燃分数为零时对应的曲轴转角,如果已燃分数试验数据始终大于零,以数据始点对应曲轴转角作为将单韦伯方程进行线性化,令 实现将试验数据序列的线性化,线性化后的数据序列为 (2) The test data sequence Linearization: Experimental data series based on fraction burned first calculated with preliminary estimate of with in is the corresponding crankshaft angle when the burnt fraction is zero. If the burnt fraction test data is always greater than zero, the crankshaft angle corresponding to the data starting point is taken as Linearizing the single Weber equation, let The implementation will test the data sequence The linearization of , the data sequence after linearization is (3)确定韦伯方程个数:预设为数据序列进行线性拟合,得出拟合精度R2,设定单双韦伯识别度E,若R2≥E,韦伯方程个数识别为1;若R2<E,韦伯方程个数识别为2;(3) Determine the number of Weber equations: defaults to right The data sequence is linearly fitted to obtain the fitting accuracy R 2 , and set the single and double Weber recognition degree E. If R 2 ≥ E, the number of Weber equations is recognized as 1; if R 2 < E, the number of Weber equations is recognized as 2; (4)针对确定的韦伯方程个数采用相应的韦伯参数自动校准方法,得出韦伯方程参数校准结果:(4) For the determined number of Weber equations, the corresponding Weber parameter automatic calibration method is adopted to obtain the Weber equation parameter calibration result: 韦伯方程个数识别为1时,根据已燃分数试验值,首先得出的初步估计值其中 为已燃分数为零时对应的曲轴转角,如果已燃分数试验数据始终大于零,以数据始点对应曲轴转角作为然后对数据序列进行线性拟合,得出拟合斜率A,由m0=A-1计算得出m0,其中m0为燃烧指数的初始值;然后由计算出燃烧效率因数a;以作为待拟合方程,以m0分别作为m、的迭代初值,采用非线性最小二乘算法拟合得出m、的最终估计值;When the number of Weber's equations is identified as 1, according to the experimental value of the burned fraction, it is first obtained that with preliminary estimate of with in is the corresponding crankshaft angle when the burnt fraction is zero. If the burnt fraction test data is always greater than zero, the crankshaft angle corresponding to the data starting point is taken as Then for the data sequence Carry out linear fitting to obtain the fitting slope A, and m 0 is calculated by m 0 =A-1, where m 0 is the initial value of the combustion index; then by Calculate the combustion efficiency factor a; As the equation to be fitted, m 0 , with respectively as m, with The iterative initial value is obtained by fitting the non-linear least squares algorithm to obtain m, with the final estimate of 韦伯方程个数识别为2时,根据已燃分数试验值,首先得出的初步估计值其中 为已燃分数为零时对应的曲轴转角,如果已燃分数试验数据始终大于零,以数据始点对应曲轴转角作为然后对线性化后的数据确认燃烧相位分离点p,即是找到一个点p使得此点之前和之后的数据分别进行直线拟合的综合R2精度达到最大;根据燃烧相位分离点p将已燃分数试验数据序列分成两部分,即其中x1b=[xb(1),xb(2),…,xb(p)],x2b=[xb(p+1),xb(p+2),…,xb(n)];α0=xb(p)作为预混燃烧比例初始值,并对x1b和x2b进行归一化处理: 分别实现将线性化,对两部分数据序列分别进行线性拟合,分别得出拟合斜率A1和A2,由m10=A1-1、m20=A2-1分别得出m10和m20,其中m10和m20分别为预混燃烧燃烧指数初始值,扩散燃烧燃烧指数初始值;以α0、m10m20分别作为α、m1、m2的迭代初值,采用非线性最小二乘算法拟合得出α、m1、m2、的最终估计值;When the number of Weber's equations is identified as 2, according to the experimental value of the burnt fraction, first obtain with preliminary estimate of with in is the corresponding crankshaft angle when the burnt fraction is zero. If the burnt fraction test data is always greater than zero, the crankshaft angle corresponding to the data starting point is taken as Then for the linearized The data confirm the combustion phase separation point p, that is, to find a point p such that the points before and after this point with The comprehensive R 2 accuracy of straight line fitting to the data reaches the maximum; according to the combustion phase separation point p, the burnt fraction test data sequence into two parts, namely with in x1 b = [x b (1), x b (2), ..., x b (p)], x2 b = [x b (p+1), x b (p+2),..., x b (n)]; α 0 =x b (p) is used as the initial value of the premixed combustion ratio, and x1 b and x2 b are normalized: make respectively realize the with linearization, yes with The two parts of the data series are linearly fitted respectively, and the fitting slopes A 1 and A 2 are obtained respectively, and m1 0 and m2 0 are respectively obtained from m1 0 =A 1 -1, m2 0 =A 2 -1, where m1 0 and m2 0 are the initial values of combustion index of premixed combustion and combustion index of diffusion combustion respectively; with α 0 , m1 0 , m2 0 , with as α, m1, m 2 , with The iterative initial value of α, m1, m2, with the final estimate of (5)输出韦伯方程个数及对应韦伯方程参数集,从而完成自识别单双韦伯燃烧规则并自动校准得出韦伯燃烧规则的经验参数。(5) Output the number of Weber equations and the corresponding Weber equation parameter sets, so as to complete the self-identification of single and double Weber combustion rules and automatically calibrate to obtain the empirical parameters of Weber combustion rules. 2.根据权利要求1所述的自识别单双韦伯燃烧规则经验参数自动校准方法,其特征是:2. The self-identifying single and double Weber combustion rule empirical parameter automatic calibration method according to claim 1 is characterized in that: 燃烧相位分离点p的确定方法如下:The determination method of combustion phase separation point p is as follows: 假设数据分离点i将数据序列分成两部分,第i个数据之前的部分为第i个数据之后的部分为分别进行直线拟合,两部分数据的线性拟合精度分别为R2 1和R2 2,综合精度R2为:R2(i)=[R2 1×i+R2 2×(n-i)]/n,其中n为总的数据个数,可使数据分离点i由1~n变化,依次分别求出综合精度R2,然后取使得综合精度R2达到最大值时的数据分离点i作为燃烧相位分离点p。Suppose the data separation point i will be the data sequence Divided into two parts, the part before the i-th data is The part after the i-th data is right with Carry out linear fitting respectively, the linear fitting precision of the two parts of data is R 2 1 and R 2 2 respectively, and the comprehensive precision R 2 is: R 2 (i)=[R 2 1 ×i+R 2 2 ×(ni) ]/n, where n is the total number of data, the data separation point i can be changed from 1 to n, and the comprehensive precision R 2 is calculated in turn, and then the data separation point i when the comprehensive precision R 2 reaches the maximum value is taken As the combustion phase separation point p.
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Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107844625A (en) * 2017-09-13 2018-03-27 上海机电工程研究所 Spary coating type ablation jet vane, which rises, burns moment point estimation approach
CN108918588A (en) * 2018-04-02 2018-11-30 广西玉柴机器股份有限公司 The method of simulated high-pressure common rail diesel engine combustion state
WO2019047863A1 (en) * 2017-09-06 2019-03-14 Xuesong Li Apparatuses and methods for optical calibration
CN112065584A (en) * 2020-08-06 2020-12-11 南京瑞华动力科技有限公司 System and method for controlling Weber correction index of gas turbine fuel

Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2007248119A (en) * 2006-03-14 2007-09-27 Toyota Motor Corp Method for determining Wiebe function parameter and heat generation rate estimating apparatus for internal combustion engine
CN102722699A (en) * 2012-05-22 2012-10-10 湖南大学 Face identification method based on multiscale weber local descriptor and kernel group sparse representation
US20140139557A1 (en) * 2012-11-19 2014-05-22 Samsung Display Co., Ltd., Display apparatus and control method for saving power thereof
CN105157055A (en) * 2015-06-24 2015-12-16 黄红林 Method for identifying combustion model of circulating fluidized bed on basis of least squares
CN105868544A (en) * 2016-03-25 2016-08-17 华北电力大学(保定) A method of analyzing insulating material performance by using three-parameter Weibull distribution to process flashover voltages

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JP2007248119A (en) * 2006-03-14 2007-09-27 Toyota Motor Corp Method for determining Wiebe function parameter and heat generation rate estimating apparatus for internal combustion engine
CN102722699A (en) * 2012-05-22 2012-10-10 湖南大学 Face identification method based on multiscale weber local descriptor and kernel group sparse representation
US20140139557A1 (en) * 2012-11-19 2014-05-22 Samsung Display Co., Ltd., Display apparatus and control method for saving power thereof
CN105157055A (en) * 2015-06-24 2015-12-16 黄红林 Method for identifying combustion model of circulating fluidized bed on basis of least squares
CN105868544A (en) * 2016-03-25 2016-08-17 华北电力大学(保定) A method of analyzing insulating material performance by using three-parameter Weibull distribution to process flashover voltages

Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2019047863A1 (en) * 2017-09-06 2019-03-14 Xuesong Li Apparatuses and methods for optical calibration
CN107844625A (en) * 2017-09-13 2018-03-27 上海机电工程研究所 Spary coating type ablation jet vane, which rises, burns moment point estimation approach
CN108918588A (en) * 2018-04-02 2018-11-30 广西玉柴机器股份有限公司 The method of simulated high-pressure common rail diesel engine combustion state
CN112065584A (en) * 2020-08-06 2020-12-11 南京瑞华动力科技有限公司 System and method for controlling Weber correction index of gas turbine fuel
CN112065584B (en) * 2020-08-06 2021-12-17 南京瑞华动力科技有限公司 System and method for controlling Weber correction index of gas turbine fuel

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