CN113359435B - Correction method for dynamic working condition data of thermal power unit - Google Patents

Correction method for dynamic working condition data of thermal power unit Download PDF

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CN113359435B
CN113359435B CN202110517846.2A CN202110517846A CN113359435B CN 113359435 B CN113359435 B CN 113359435B CN 202110517846 A CN202110517846 A CN 202110517846A CN 113359435 B CN113359435 B CN 113359435B
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司风琪
牟柯昱
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Abstract

本发明公开了一种用于火电机组动态工况数据的修正方法,涉及火电机组动态数据修正技术领域,解决了现有火电机组运行过程中稳态样本数量相对少、工况分布不平衡的技术问题,其技术方案要点是获取历史运行数据,经过稳态判定、工况划分等初步预处理,然后通过距离阈值筛选出各稳态工况样本中与待修正动态工况样本边界参数相似的临近样本,基于最小二乘法和核密度加权法进行修正系数估计。最终以其中闵可夫斯基距离最小的历史最临近稳态工况为基准,计算修正后动态工况样本的状态参数值和性能指标值。该方法参数稳定性更高,满足工程实际需要;并提高了动态运行数据的利用程度,能够有效改善因工况样本分布不平衡而导致数据挖掘精度受限的问题。

Figure 202110517846

The invention discloses a correction method for dynamic working condition data of thermal power units, relates to the technical field of dynamic data correction of thermal power units, and solves the problems that the number of steady-state samples is relatively small and the distribution of working conditions is unbalanced during the operation of the existing thermal power units. The main point of the technical solution is to obtain historical operation data, go through preliminary preprocessing such as steady-state judgment and working condition division, and then filter out the neighboring samples of each steady-state working condition that are similar to the boundary parameters of the dynamic working condition sample to be corrected through the distance threshold. Samples, the correction coefficients are estimated based on the least squares method and the kernel density weighting method. Finally, the state parameter values and performance index values of the modified dynamic working condition samples are calculated based on the historical nearest steady state working condition with the smallest Minkowski distance. The parameter stability of this method is higher, which meets the actual needs of engineering; and the utilization of dynamic operation data is improved, which can effectively improve the problem of limited data mining accuracy due to unbalanced distribution of samples in working conditions.

Figure 202110517846

Description

用于火电机组动态工况数据的修正方法Correction method for dynamic working condition data of thermal power unit

技术领域technical field

本公开涉及火电机组动态数据修正技术领域,尤其涉及一种用于火电机组动态工况数据的修正方法。The present disclosure relates to the technical field of dynamic data correction of thermal power units, in particular to a correction method for dynamic working condition data of thermal power units.

背景技术Background technique

在热工过程数据驱动建模中,稳态工况样本因良好的规律显性度和较少的噪声,成为了模型训练的主要数据来源。然而,在实际运行中,受调峰需求和四季变迁的影响,机组负荷指令和环境因素等外部条件的不断变化,导致机组运行参数也处于持续的波动之中。再加之电厂人为调控的干预和热力系统迟滞特性等内部因素的影响,现场数据偏离的频率和幅度将进一步加重。从中可见频繁且剧烈的波动过程,使得在机组运行历史数据库中,稳态工况的数量相较于动态工况往往要少得多。In the data-driven modeling of thermal process, steady-state condition samples have become the main data source for model training due to their good regularity and less noise. However, in actual operation, affected by peak shaving demand and seasonal changes, the external conditions such as unit load command and environmental factors are constantly changing, resulting in the continuous fluctuation of unit operating parameters. Coupled with the influence of internal factors such as the intervention of the power plant's artificial regulation and the hysteresis characteristics of the thermal system, the frequency and magnitude of field data deviation will be further aggravated. It can be seen that the frequent and violent fluctuation process makes the number of steady-state working conditions in the unit operation history database often much smaller than that of dynamic working conditions.

事实上,完全稳态的运行工况在机组发电过程中并不存在。即使是经过稳态判定得到的稳态数据,也不过是波动幅度较小,噪声较少的准稳态数据。为了提升数据挖掘的精度和效率,采用较小的稳态阈值对历史数据进行筛选,虽然能够获得更高质量的工况信息,但保留的样本数量将大大减小,工况分布不平衡问题降进一步加剧。缺乏充足、全面的优质样本参与模型训练,势必影响到机组运行规律挖掘的效果,这对于全工况下的机组性能评价与诊断优化显然是致命的。In fact, a completely steady-state operating condition does not exist during the generating process of the unit. Even the steady-state data obtained through steady-state judgment are only quasi-steady-state data with small fluctuation range and less noise. In order to improve the accuracy and efficiency of data mining, a smaller steady-state threshold is used to screen historical data. Although higher-quality working condition information can be obtained, the number of retained samples will be greatly reduced, and the problem of unbalanced working condition distribution will be reduced. further intensified. The lack of sufficient and comprehensive high-quality samples to participate in model training will inevitably affect the effect of mining the operating rules of the unit, which is obviously fatal to the performance evaluation and diagnosis optimization of the unit under all operating conditions.

对于数据挖掘,提升原始数据质量始终是关键。机组运行积累的海量数据在高维空间分布不均匀是数据挖掘领域的难点。机组运行状态呈现复杂多样的状态,工况的偏离反映在运行参数的偏离之上,进而造成了系统能耗的偏离。对于整体运行范围下的工况变化规律进行研究,势必面临着高维度、高耦合、高误差等问题。系统的运行性能是由边界参数和运行参数共同决定的,近邻样本能耗的差异,也是由边界参数和运行相关参数的差异共同影响造成的。因此如何对机组动态过程中的数据进行修正以获取高质量的数据,从而为运行优化规则的挖掘提供更完整、干净的数据基础是亟需解决的问题。For data mining, improving the quality of raw data is always the key. The uneven distribution of the massive data accumulated in the high-dimensional space is a difficulty in the field of data mining. The operating state of the unit is complex and diverse, and the deviation of the working conditions is reflected in the deviation of the operating parameters, which in turn causes the deviation of the system energy consumption. To study the changing law of working conditions under the overall operating range, it is bound to face problems such as high dimension, high coupling, and high error. The operating performance of the system is jointly determined by the boundary parameters and the operating parameters, and the difference in energy consumption of the neighboring samples is also caused by the joint influence of the difference between the boundary parameters and the operating-related parameters. Therefore, how to revise the data in the dynamic process of the unit to obtain high-quality data, so as to provide a more complete and clean data foundation for the mining of operational optimization rules, is an urgent problem to be solved.

发明内容SUMMARY OF THE INVENTION

本公开提供了一种用于火电机组动态工况数据的修正方法,其技术目的是针对现有火电机组运行过程中稳态样本数量相对少,工况分布不平衡等问题而公开了一种动态过程数据的修正方法,以获取数量较多的稳态样本,从而解决工况分布不平衡等问题。The present disclosure provides a method for correcting dynamic working condition data of thermal power units, and the technical purpose of which is to disclose a dynamic working condition for the relatively small number of steady-state samples and unbalanced working condition distribution during the operation of existing thermal power units. The correction method of process data to obtain a large number of steady-state samples, so as to solve problems such as unbalanced distribution of operating conditions.

本公开的上述技术目的是通过以下技术方案得以实现的:The above-mentioned technical purpose of the present disclosure is achieved through the following technical solutions:

一种用于火电机组动态工况数据的修正方法,包括:A method for correcting dynamic working condition data of thermal power units, comprising:

通过机理分析初步筛选与系统运行性能相关的第一特征参数,通过灰色关联度算法在所述第一特征参数中遴选与系统运行性能指标关联的第二特征参数;Preliminarily screen the first characteristic parameter related to the system operation performance through mechanism analysis, and select the second characteristic parameter related to the system operation performance index from the first characteristic parameter through the grey correlation degree algorithm;

计算所述第二特征参数的统计量得到描述工况稳定性的稳态因子,将稳态因子与稳态阈值相比较,小于所述稳态阈值的即认为是稳态工况样本;Calculate the statistic of the second characteristic parameter to obtain a steady-state factor describing the stability of the working condition, compare the steady-state factor with the steady-state threshold value, and if the steady-state factor is smaller than the steady-state threshold value, it is regarded as a steady-state working condition sample;

计算所述稳态工况样本与已知边界条件的动态工况样本S的闵可夫斯基距离,若所述稳态工况样本中的第一稳态工况与所述动态工况样本S的闵可夫斯基距离小于距离阈值dε,则所述第一稳态工况为近邻工况,通过闵可夫斯基距离在所述稳态工况样本中筛选出近邻工况样本{w1,w2,...,wK,wN},则所述近邻工况样本中共有(K+1)个近邻工况,wN表示与所述动态工况样本S距离最近的近邻工况;Calculate the Minkowski distance between the steady-state working condition sample and the dynamic working condition sample S with known boundary conditions, if the distance between the first steady-state working condition in the steady-state working condition sample and the dynamic working condition sample S If the Minkowski distance is less than the distance threshold d ε , the first steady state condition is a neighbor condition, and the Minkowski distance is used to screen out the neighbor condition samples from the steady state condition samples {w 1 ,w 2 ,...,w K ,w N }, then there are (K+1) neighboring working conditions in the neighbor working condition sample, and w N represents the neighboring working condition with the closest distance to the dynamic working condition sample S;

计算所述近邻工况样本{w1,w2,...,wK,wN}的核密度分布;Calculate the kernel density distribution of the neighbor working case samples {w 1 ,w 2 ,...,w K ,w N };

根据所述核密度分布对所述动态工况样本S的能耗评价指标和相关参数的修正系数进行最小二乘估计,得到最终修正系数;According to the kernel density distribution, the least squares estimation is performed on the energy consumption evaluation index of the dynamic working condition sample S and the correction coefficient of the related parameters to obtain the final correction coefficient;

根据所述最终修正系数对所述动态工况样本S进行修正,得到修正后准稳态工况样本S';Correcting the dynamic working condition sample S according to the final correction coefficient to obtain a corrected quasi-steady-state working condition sample S';

其中,所述动态工况样本S表示为

Figure BDA0003062431360000021
IS表示动态工况下系统的能耗评价指标,
Figure BDA0003062431360000022
表示动态工况下系统的边界参数,
Figure BDA0003062431360000023
表示动态工况下系统的相关参数,其中,u就表示边界参数,r表示相关参数,m、n分别表示边界参数和相关参数的个数。Among them, the dynamic working condition sample S is expressed as
Figure BDA0003062431360000021
IS represents the energy consumption evaluation index of the system under dynamic conditions,
Figure BDA0003062431360000022
represents the boundary parameters of the system under dynamic conditions,
Figure BDA0003062431360000023
Represents the relevant parameters of the system under dynamic conditions, where u represents the boundary parameters, r represents the relevant parameters, and m and n represent the number of boundary parameters and relevant parameters, respectively.

本公开的有益效果在于:通过在电厂运行数据库中获取历史运行数据,经过稳态判定、工况划分等初步预处理,然后以一定的距离阈值,筛选出各稳态工况样本中与待修正动态工况样本边界参数相似的临近样本,基于最小二乘法和核密度加权法进行修正系数估计。最终以其中闵可夫斯基距离最小的历史最临近稳态工况为基准,计算修正后动态工况样本的状态参数值和性能指标值。The beneficial effect of the present disclosure is that: by obtaining historical operation data in the power plant operation database, after preliminary preprocessing such as steady-state judgment, working condition division, etc., and then by a certain distance threshold, the samples of each steady-state working condition that are to be corrected are screened out. For the adjacent samples with similar boundary parameters of the samples in the dynamic condition, the correction coefficients are estimated based on the least squares method and the kernel density weighting method. Finally, the state parameter values and performance index values of the modified dynamic working condition samples are calculated based on the historical nearest steady state working condition with the smallest Minkowski distance.

本申请是一种稳态数据补充方法,相较于传统的建模补充方法速度更快,参数稳定性更高,满足工程实际需要;并提高了动态运行数据的利用程度,能够有效改善因工况样本分布不平衡而导致数据挖掘精度受限的问题。且本申请无需复杂的硬件设备,价格低廉。The present application is a steady-state data supplement method, which is faster than the traditional modeling supplement method, has higher parameter stability, and meets the actual needs of the project; and improves the utilization of dynamic operation data, which can effectively improve the efficiency of engineering Due to the unbalanced sample distribution, the data mining accuracy is limited. In addition, the present application does not require complicated hardware equipment, and the price is low.

附图说明Description of drawings

图1为本申请所述方法的流程图;Fig. 1 is the flow chart of the method described in this application;

图2为不同工况下汽机热耗随负荷分布的散点示意图;Figure 2 is a schematic diagram of the scatter of the turbine heat consumption with the load distribution under different working conditions;

图3为不同负荷区间汽机热耗率均值分布示意图。Figure 3 is a schematic diagram of the distribution of the mean value of the steam turbine heat consumption rate in different load intervals.

具体实施方式Detailed ways

下面将结合附图对本公开技术方案进行详细说明。在本申请的描述中,需要理解地是,术语“第一”、“第二”仅用于描述目的,而不能理解为指示或暗示相对重要性或者隐含指明所指示的技术特征的数量,仅用来区分不同的技术特征。The technical solutions of the present disclosure will be described in detail below with reference to the accompanying drawings. In the description of this application, it should be understood that the terms "first" and "second" are only used for description purposes, and cannot be interpreted as indicating or implying relative importance or indicating the number of technical features indicated, It is only used to distinguish different technical characteristics.

图1为本申请所述用于火电机组动态工况数据的修正方法的流程图,如图1所示,该方法包括:Fig. 1 is the flow chart of the modification method described in the application for thermal power unit dynamic working condition data, as shown in Fig. 1, the method includes:

S1:通过机理分析初步筛选与系统运行性能相关的第一特征参数,通过灰色关联度算法在所述第一特征参数中遴选与系统运行性能指标关联的第二特征参数。S1: Preliminarily screen first characteristic parameters related to system operation performance through mechanism analysis, and select second characteristic parameters related to system operation performance indicators from the first characteristic parameters through a grey correlation degree algorithm.

具体地,由机理分析初步筛选系统运行的相关参数,通过灰色关联度算法遴选与机组性能指标关联度较大的特征变量,以一定的关联度阈值进行约简,得到能耗特征参数,记X={Xu,Xr}为某系统的能耗特征参数,由不可控特征参数Xu(边界参数)和可控的特征参数组成Xr(相关参数)。这里需要选择合适的灰色关联度约简阈值。Specifically, the relevant parameters of the system operation are preliminarily screened by the mechanism analysis, and the characteristic variables with greater correlation with the performance indicators of the unit are selected by the grey correlation algorithm, and reduced by a certain correlation threshold to obtain the energy consumption characteristic parameters, denoted by X ={X u , X r } is the energy consumption characteristic parameter of a certain system, and X r (related parameter) is composed of the uncontrollable characteristic parameter X u (boundary parameter) and the controllable characteristic parameter. Here it is necessary to select an appropriate grey relational degree reduction threshold.

S2:计算所述第二特征参数的统计量得到描述工况稳定性的稳态因子,将稳态因子与稳态阈值相比较,小于所述稳态阈值的即认为是稳态工况样本。这一过程可通过R检验法来实现。S2: Calculate the statistic of the second characteristic parameter to obtain a steady state factor describing the stability of the working condition, compare the steady state factor with the steady state threshold value, and consider the steady state working condition sample if the steady state factor is smaller than the steady state threshold value. This process can be achieved by the R test method.

S3:计算所述稳态工况样本与已知边界条件的动态工况样本S的闵可夫斯基距离,若所述稳态工况样本中的第一稳态工况与所述动态工况样本S的闵可夫斯基距离小于距离阈值dε,则所述第一稳态工况为近邻工况,通过闵可夫斯基距离在所述稳态工况样本中筛选出近邻工况样本{w1,w2,...,wK,wN},则所述近邻工况样本中共有(K+1)个近邻工况,wN表示与所述动态工况样本S距离最近的近邻工况。S3: Calculate the Minkowski distance between the steady-state working condition sample and the dynamic working condition sample S with known boundary conditions, if the first steady-state working condition in the steady-state working condition sample is the same as the dynamic working condition sample The Minkowski distance of S is smaller than the distance threshold d ε , then the first steady state condition is a neighbor condition, and the Minkowski distance is used to screen out the neighbor condition samples from the steady state condition samples {w 1 , w 2 ,...,w K ,w N }, then there are (K+1) neighboring working conditions in the neighboring working condition sample, and w N represents the neighboring working condition with the closest distance to the dynamic working condition sample S .

在筛选近邻工况时,可以优先选相邻网格内的样本计算距离,类似于缩小搜索范围的功能,即进行工况划分,工况划分一般采用等宽度法。When screening the neighboring working conditions, the samples in the adjacent grids can be preferentially selected to calculate the distance, which is similar to the function of narrowing the search range, that is, the working conditions are divided. The working conditions are generally divided by the equal width method.

距离阈值dε会根据实际系统运行情况而定。The distance threshold d ε will be determined according to the actual system operation.

具体地,闵可夫斯基距离表示为:

Figure BDA0003062431360000031
其中,d(A,B)表示m维空间内任意两点A(a1,a2,...am)与B(b1,b2,...bm)之间的闵可夫斯基距离,A(a1,a2,...am)表示所述动态工况样本S中的任意一个动态工况,B(b1,b2,...bm)表示所述稳态工况样本中的任意一个稳定工况,所述p表示变参数,且p=2。Specifically, the Minkowski distance is expressed as:
Figure BDA0003062431360000031
Among them, d(A,B) represents the Minkoffs between any two points A(a 1 ,a 2 ,...am ) and B(b 1 ,b 2 ,...b m ) in the m -dimensional space Base distance, A(a 1 ,a 2 ,... am ) represents any dynamic condition in the dynamic condition sample S, and B(b 1 ,b 2 ,...b m ) means the For any stable working condition in the steady-state working condition sample, the p represents a variable parameter, and p=2.

M既表示边界参数个数,也表示划分工况的维度数。每一个工况点都对应着m个边界参数,在计算高维空间内的距离时,需计算两点间在每一个维度上边界参数的差值再进行求和得到最终的距离。M represents not only the number of boundary parameters, but also the number of dimensions for dividing the working conditions. Each operating point corresponds to m boundary parameters. When calculating the distance in the high-dimensional space, it is necessary to calculate the difference of the boundary parameters between the two points in each dimension and then sum them up to obtain the final distance.

近邻工况样本中的任意一个工况到动态工况样本S的闵可夫斯基距离,需要分别计算近邻工况到动态工况样本S中每一个工况的闵可夫斯基距离,那么近邻工况到动态工况样本S中的工况的一个最大闵可夫斯基距离即为该近邻工况到动态工况样本S的闵可夫斯基距离。The Minkowski distance from any one of the neighboring working condition samples to the dynamic working condition sample S needs to be calculated separately from the neighboring working condition to each working condition in the dynamic working condition sample S. A maximum Minkowski distance of a working condition in the dynamic working condition sample S is the Minkowski distance between the neighboring working condition and the dynamic working condition sample S.

在计算闵可夫斯基距离之前,需要对工况的边界参数进行归一化处理。Before calculating the Minkowski distance, the boundary parameters of the working conditions need to be normalized.

S4:计算所述近邻工况样本{w1,w2,...,wK,wN}的核密度分布,可以选用高斯核函数进行估算。S4: Calculate the kernel density distribution of the neighbor working condition samples {w 1 , w 2 ,...,w K ,w N }, and a Gaussian kernel function can be used for estimation.

具体地,近邻工况样本{w1,w2,...,wK,wN}的核密度分布,包括:

Figure BDA0003062431360000041
其中,fh(d)表示任意近邻工况与最近近邻工况wN的距离为d时对应的概率密度,dk表示表示近邻工况wk与wN的距离,k=1,2,...,K,h表示带宽,h=dε/10,g(.)表示核函数。Specifically, the kernel density distribution of the samples {w 1 ,w 2 ,...,w K ,w N } of the nearest neighbors includes:
Figure BDA0003062431360000041
Among them, f h (d) represents the corresponding probability density when the distance between any nearest neighbor working condition and the nearest neighbor working condition w N is d, d k represents the distance between the nearest neighbor working condition w k and w N , k=1,2, ..., K, h represents the bandwidth, h=d ε /10, g(.) represents the kernel function.

S5:根据所述核密度分布对所述动态工况样本S的能耗评价指标和相关参数的修正系数进行最小二乘估计,得到最终修正系数。S5: Perform a least square estimation on the energy consumption evaluation index of the dynamic working condition sample S and the correction coefficient of the related parameters according to the kernel density distribution, to obtain a final correction coefficient.

具体包括:

Figure BDA0003062431360000042
Specifically include:
Figure BDA0003062431360000042

Figure BDA0003062431360000043
表示边界参数
Figure BDA0003062431360000044
对能耗评价指标IS的修正系数,
Figure BDA0003062431360000045
表示边界参数
Figure BDA0003062431360000046
对第j个相关参数
Figure BDA0003062431360000047
的修正系数,j∈[1,n];
Figure BDA0003062431360000048
表示近邻工况wk的能耗评价指标与wN的能耗评价指标的差值;
Figure BDA0003062431360000049
表示近邻工况wk的边界参数与wN的边界参数的差值集合;
Figure BDA00030624313600000410
表示近邻工况wk的第j个相关参数与wN的第j个边界参数的差值;fh(dk)表示任意近邻工况与wN的距离为dk时对应的概率密度;θ1、θ2表示使argmin(.)结果最小的参数。
Figure BDA0003062431360000043
represents the boundary parameter
Figure BDA0003062431360000044
Correction coefficient for the energy consumption evaluation index IS ,
Figure BDA0003062431360000045
represents the boundary parameter
Figure BDA0003062431360000046
For the jth relevant parameter
Figure BDA0003062431360000047
The correction coefficient of , j∈[1,n];
Figure BDA0003062431360000048
represents the difference between the energy consumption evaluation index of the neighboring working condition w k and the energy consumption evaluation index of w N ;
Figure BDA0003062431360000049
Represents the set of difference values between the boundary parameters of the neighbor case w k and the boundary parameters of w N ;
Figure BDA00030624313600000410
Represents the difference between the jth related parameter of the nearest neighbor working condition w k and the jth boundary parameter of w N ; f h (d k ) represents the corresponding probability density when the distance between any nearest neighbor operating condition and w N is d k ; θ1, θ2 represent the parameters that minimize the result of argmin(.).

S6:根据所述最终修正系数对所述动态工况样本S进行修正,得到修正后准稳态工况样本S'。S6: Correct the dynamic working condition sample S according to the final correction coefficient to obtain a corrected quasi-steady-state working condition sample S'.

动态工况样本S表示为

Figure BDA00030624313600000411
IS表示动态工况下系统的能耗评价指标,
Figure BDA00030624313600000412
表示动态工况下系统的边界参数,
Figure BDA00030624313600000413
表示动态工况下系统的相关参数,其中,u就表示边界参数,r表示相关参数,m、n分别表示边界参数和相关参数的个数。The dynamic condition sample S is expressed as
Figure BDA00030624313600000411
IS represents the energy consumption evaluation index of the system under dynamic conditions,
Figure BDA00030624313600000412
represents the boundary parameters of the system under dynamic conditions,
Figure BDA00030624313600000413
Represents the relevant parameters of the system under dynamic conditions, where u represents the boundary parameters, r represents the relevant parameters, and m and n represent the number of boundary parameters and relevant parameters, respectively.

修正的过程包括:

Figure BDA00030624313600000414
The correction process includes:
Figure BDA00030624313600000414

Figure BDA00030624313600000415
表示动态工况样本S的边界参数与wN的边界参数的差值集合;
Figure BDA00030624313600000416
表示wN的能耗评价指标;
Figure BDA00030624313600000417
表示wN的第j个相关参数;最终得到准稳态工况样本
Figure BDA0003062431360000051
Figure BDA00030624313600000415
Represents the set of differences between the boundary parameters of the dynamic working condition sample S and the boundary parameters of w N ;
Figure BDA00030624313600000416
represents the energy consumption evaluation index of w N ;
Figure BDA00030624313600000417
Represents the jth related parameter of w N ; finally, the quasi-steady state sample is obtained
Figure BDA0003062431360000051

作为具体实施例地,现场DCS采样数据存入厂级监控信息系统(SIS)的历史数据库,结合需要分析的具体系统,首先将现场数据进行数据清洗、稳态筛选等预处理,得到稳态运行工况数据库留待后续分析。然后通过灰色关联度算法选取汽机运行过程中的能耗特征变量,以其中相对不可控的特征参数作为边界条件对稳态数据进行划分,剩余参数为运行相关参数。对于待修正的动态工况样本,可将其边界参数在稳态运行工况库中进行匹配,筛选出边界相似工况之内的稳态样本,分别计算这些稳态样本与待修正工况之间的闵可夫斯基距离。设置闵可夫斯基距离的距离阈值dε为0.5,筛选出一定数量的近邻工况样本,并计算各样本的闵可夫斯基距离的核密度概率作为权值,以最小二乘法对各相关参数的修正系数进行拟合,最终给出修正后工况的参数结果。As a specific example, the on-site DCS sampling data is stored in the historical database of the factory-level monitoring information system (SIS). Combined with the specific system to be analyzed, the on-site data is first subjected to data cleaning, steady-state screening and other preprocessing to obtain steady-state operation. The operating condition database is reserved for subsequent analysis. Then, the characteristic variables of energy consumption during the operation of the turbine are selected through the grey correlation algorithm, and the relatively uncontrollable characteristic parameters are used as boundary conditions to divide the steady-state data, and the remaining parameters are operation-related parameters. For the dynamic working condition samples to be corrected, its boundary parameters can be matched in the steady-state operating condition library, and the steady-state samples within the boundary similar working conditions can be screened out, and the difference between these steady-state samples and the working conditions to be corrected can be calculated separately. The Minkowski distance between them. Set the distance threshold d ε of the Minkowski distance to 0.5, filter out a certain number of samples of neighboring working conditions, and calculate the kernel density probability of the Minkowski distance of each sample as the weight, and use the least squares method to correct the relevant parameters. The coefficients are fitted, and the parameter results of the modified working conditions are finally given.

本发明结合内蒙古某电厂600MW亚临界空冷机组的汽机系统,分析本发明方法的实用性。以汽机热耗为例,原始数据来自机组的SIS系统PI数据库,时间为2020年8月1日至8月15日,采样间隔1min,共21600组数据。取稳态阈值为1.5,共得到8765组稳态样本,其余12835条为动态样本。The invention analyzes the practicability of the method of the invention in combination with the turbine system of a 600MW subcritical air-cooling unit of a power plant in Inner Mongolia. Taking the heat consumption of the steam turbine as an example, the original data comes from the PI database of the SIS system of the unit. The time is from August 1st to August 15th, 2020. The sampling interval is 1min, and there are a total of 21,600 sets of data. Taking the steady-state threshold as 1.5, a total of 8765 sets of steady-state samples were obtained, and the remaining 12,835 samples were dynamic samples.

对稳态工况下样本进行灰色关联度分析,得到结果如表1所示。The gray correlation degree analysis was carried out on the samples under steady state conditions, and the results are shown in Table 1.

Figure BDA0003062431360000052
Figure BDA0003062431360000052

表1Table 1

取灰色关联度约简阈值为0.75,对于汽机运行工况而言,共筛选主蒸汽压力、主蒸汽温度、再热蒸汽温度、真空度、负荷、主蒸汽流量、调节级压力、调节级温度为汽机的能耗特征变量。其中,主蒸汽压力、主蒸汽温度、再热蒸汽温度、真空度和负荷为汽机运行工况的边界参数,主蒸汽流量、调节级压力和调节级温度为汽机运行工况的相关参数。根据参数的历史波动范围,可人为确定工况区间划分的间隔,具体划分参数如表2所示。Taking the gray correlation degree reduction threshold as 0.75, for the turbine operating conditions, the main steam pressure, main steam temperature, reheat steam temperature, vacuum degree, load, main steam flow, regulating stage pressure, and regulating stage temperature are screened as Turbine energy consumption characteristic variables. Among them, the main steam pressure, main steam temperature, reheat steam temperature, vacuum degree and load are the boundary parameters of the turbine operating conditions, and the main steam flow, regulating stage pressure and regulating stage temperature are the relevant parameters of the turbine operating conditions. According to the historical fluctuation range of the parameters, the interval for dividing the working condition interval can be artificially determined. The specific dividing parameters are shown in Table 2.

主蒸汽压力/MPaMain steam pressure/MPa 主蒸汽温度/℃Main steam temperature/℃ 再热蒸汽温度/℃Reheat steam temperature/℃ 真空度/kPaVacuum degree/kPa 参数变化范围Parameter variation range 13-1713-17 520-570520-570 500-570500-570 7-187-18 区间间隔interval 0.50.5 55 55 11

表2Table 2

对于每一条待修正的动态过程数据而言,取闵可夫斯基距离最近的40条工况作为参考样本。基于最小二乘估计法,由主蒸汽压力、主蒸汽温度、再热蒸汽温度、真空度等参数的差值对负荷、主汽流量、高压缸排汽压力等运行相关参数的修正系数进行估计。部分原动态工况、修正后工况及最近邻工况的参数分布情况如表3所示,图2为不同工况下汽机热耗随负荷分布的散点图,表4为所有负荷区间下,不同工况对应的汽机热耗标准差与偏差率,图3为不同负荷区间汽机热耗率均值分布。从图2中可见,经过近邻工况插值修正之后的工况,其热耗率的投影区域显著减小。从表4和图3中可见,修正后的热耗偏差率大幅下降,波动性得到抑制。从各负荷区间的热耗均值来看,修正后的汽机热耗随负荷逐渐降低的趋势更为明显,数值也与试验报告中的结果更为接近,证明动态样本修正后的效果较理想,能够满足工程需要。For each piece of dynamic process data to be corrected, the 40 working conditions closest to the Minkowski distance are taken as reference samples. Based on the least squares estimation method, the correction coefficients of the operation-related parameters such as the load, the main steam flow, and the exhaust steam pressure of the high-pressure cylinder are estimated by the difference of the main steam pressure, the main steam temperature, the reheat steam temperature, and the vacuum degree. The parameter distributions of some of the original dynamic conditions, the corrected conditions and the nearest neighbor conditions are shown in Table 3. Figure 2 is the scatter plot of the turbine heat consumption distribution with load under different conditions. , the standard deviation and deviation rate of turbine heat consumption corresponding to different working conditions. Figure 3 shows the mean distribution of turbine heat consumption rate in different load intervals. It can be seen from Figure 2 that the projected area of the heat consumption rate is significantly reduced for the operating conditions after interpolation and correction of the neighboring operating conditions. From Table 4 and Figure 3, it can be seen that the corrected heat consumption deviation rate is greatly reduced, and the fluctuation is suppressed. Judging from the average heat consumption of each load interval, the trend of the revised turbine heat consumption gradually decreasing with the load is more obvious, and the value is closer to the result in the test report, which proves that the effect of dynamic sample correction is ideal, and it can meet engineering needs.

Figure BDA0003062431360000061
Figure BDA0003062431360000061

表3table 3

Figure BDA0003062431360000071
Figure BDA0003062431360000071

表4Table 4

为进一步验证修正后工况参数的可复现性,以稳态热耗预测模型验证能耗特征参数之间的耦合性。神经网络模型的输入参数即为能耗特征参数,共计筛选500条稳态工况样本,以前400条稳态工况样本训练基于BP神经网络算法的稳态热耗预测模型,以后100条稳态工况样本和100条动态修正后的工况样本为测试集评估模型的误差,误差的评价指标分别为平均相对误差(Mean Relate Error,MRE)和均方根误差(Root Mean Square Error,RMSE),训练集和测试集的误差如表5所示。由表5可见,修正后的运行参数预测汽机热耗的误差相比稳态工况样本的预测误差略大,但MRE也在1.5%以内,证明各相关参数之间的耦合关系依然是有保障的,在实际运行优化中仍然具有指导意义。In order to further verify the reproducibility of the modified operating parameters, the steady-state heat consumption prediction model was used to verify the coupling between the energy consumption characteristic parameters. The input parameters of the neural network model are the energy consumption characteristic parameters. A total of 500 steady-state working condition samples are screened. The first 400 steady-state working condition samples train the steady-state heat consumption prediction model based on the BP neural network algorithm, and the next 100 steady-state working condition samples are used to train the steady-state heat consumption prediction model. The working condition samples and 100 dynamically corrected working condition samples are the errors of the test set evaluation model. The evaluation indicators of the errors are the mean relative error (MRE) and the root mean square error (RMSE). , the errors of training set and test set are shown in Table 5. It can be seen from Table 5 that the error of the modified operating parameters in predicting the heat consumption of the turbine is slightly larger than that of the steady state sample, but the MRE is also within 1.5%, which proves that the coupling relationship between the relevant parameters is still guaranteed. , which is still instructive in practical operation optimization.

Figure BDA0003062431360000072
Figure BDA0003062431360000072

表5table 5

本发明充分利用了机组历史稳态数据对变化复杂的动态工况进行修正,相较于传统的建模补充方法速度更快,计算量较小,参数稳定性更高,适宜用于火电机组数据挖掘与运行优化领域,对数据稀疏区域和进行样本补充。The invention makes full use of the historical steady-state data of the unit to correct the complex dynamic working conditions. Compared with the traditional modeling supplementary method, the speed is faster, the calculation amount is smaller, and the parameter stability is higher, and it is suitable for thermal power unit data. Mining and running optimization areas, data sparse areas and sample supplementation.

以上为本申请示范性实施例,本申请的保护范围由权利要求书及其等效物限定。The above are exemplary embodiments of the present application, and the protection scope of the present application is defined by the claims and their equivalents.

Claims (6)

1. A correction method for dynamic working condition data of a thermal power generating unit is characterized by comprising the following steps:
primarily screening first characteristic parameters related to system operation performance through mechanism analysis, and selecting second characteristic parameters related to system operation performance indexes from the first characteristic parameters through a grey correlation algorithm;
calculating the statistic of the second characteristic parameter to obtain a steady-state factor describing the stability of the working condition, comparing the steady-state factor with a steady-state threshold value, and considering the steady-state factor smaller than the steady-state threshold value as a steady-state working condition sample;
calculating the Minkowski distance between the steady-state operating condition sample and the dynamic operating condition sample S of known boundary conditions, if the Minkowski distance between the first steady-state operating condition sample and the dynamic operating condition sample S is less than a distance threshold d ε If the first steady-state working condition is a neighboring working condition, screening out samples { w ] of the neighboring working condition from the samples of the steady-state working condition through Minkowski distance 1 ,w 2 ,...,w K ,w N And f, obtaining (K +1) neighbor working conditions in the neighbor working condition samples, w N Representing the nearest neighbor working condition to the dynamic working condition sample S;
calculating the neighbor condition samples { w 1 ,w 2 ,...,w K ,w N Nuclear density distribution of };
performing least square estimation on the energy consumption evaluation index of the dynamic working condition sample S and the correction coefficient of the related parameter according to the nuclear density distribution to obtain a final correction coefficient;
correcting the dynamic working condition sample S according to the final correction coefficient to obtain a corrected quasi-steady-state working condition sample S';
wherein the dynamic condition sample S is represented as
Figure FDA0003694474220000011
I S The energy consumption evaluation index of the system under the dynamic working condition is shown,
Figure FDA0003694474220000012
representing the boundary parameters of the system under dynamic conditions,
Figure FDA0003694474220000013
and expressing the relevant parameters of the system under the dynamic working condition, wherein u expresses the boundary parameters, r expresses the relevant parameters, and m and n respectively express the number of the boundary parameters and the relevant parameters.
2. A method as claimed in claim 1 wherein the Minkowski distance is expressed as:
Figure FDA0003694474220000014
wherein d (A, B) represents any two points A (a) in m-dimensional space 1 ,a 2 ,...a m ) And B (B) 1 ,b 2 ,...b m ) Minkowski distance, A (a) 1 ,a 2 ,...a m ) Represents any one of the dynamic conditions, B (B) 1 ,b 2 ,...b m ) And representing any stable working condition in the steady-state working condition samples, wherein p represents a variable parameter.
3. The method of claim 2, wherein the computing the neighbor condition samples { w } 1 ,w 2 ,...,w K ,w N A nuclear density distribution of { includes:
Figure FDA0003694474220000015
wherein f is h (d) Representing any near neighbor working condition and nearest neighbor working condition w N When the distance of (d) is the corresponding probability density, d k Indicating neighbor condition w k And w N K1, 2, K, h denotes the bandwidth, h d ε The/10, g (.) represents the kernel function.
4. The method according to claim 3, wherein the least square estimation is performed on the energy consumption evaluation index of the dynamic working condition sample S and the correction coefficient of the related parameter according to the nuclear density distribution to obtain a final correction coefficient,
the method comprises the following steps:
Figure FDA0003694474220000021
Figure FDA0003694474220000022
wherein,
Figure FDA0003694474220000023
representing boundary parameters
Figure FDA0003694474220000024
Energy consumption evaluation index I S The correction coefficient of (a) is determined,
Figure FDA0003694474220000025
representing boundary parameters
Figure FDA0003694474220000026
For j relevant parameter
Figure FDA0003694474220000027
J is within [1, n ]];
Figure FDA0003694474220000028
Indicating neighbor condition w k Energy consumption evaluation index of (1) and w N The difference of the energy consumption evaluation indexes;
Figure FDA0003694474220000029
indicating neighbor condition w k Boundary parameter and w N The set of difference values of the boundary parameters of (a);
Figure FDA00036944742200000210
indicating neighbor condition w k J-th correlation parameter of (1) and w N The difference of the jth boundary parameter of (a); f. of h (d k ) Represents any neighbor operating condition and w N A distance of d k Probability density of temporal correspondence; θ 1, θ 2 represent parameters that minimize the argmin (.) result.
5. The method according to claim 1, wherein the modifying the dynamic condition sample S according to the final modification coefficient to obtain a modified quasi-steady state condition sample S' comprises:
Figure FDA00036944742200000211
Figure FDA00036944742200000212
wherein,
Figure FDA00036944742200000213
boundary parameter and w representing dynamic condition sample S N A set of difference values of the boundary parameters of (a);
Figure FDA00036944742200000214
denotes w N The energy consumption evaluation index of (1);
Figure FDA00036944742200000215
denotes w N The j-th correlation parameter of (1); finally obtaining a quasi-steady state working condition sample
Figure FDA00036944742200000216
6. The method of claim 2, wherein p is 2.
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