CN107563565A - A kind of short-term photovoltaic for considering Meteorology Factor Change decomposes Forecasting Methodology - Google Patents
A kind of short-term photovoltaic for considering Meteorology Factor Change decomposes Forecasting Methodology Download PDFInfo
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Abstract
本发明公开了一种考虑气象因素变化的短期光伏分解预测方法,包括:S1通过奇异谱分析方法对光伏出力时间序列进行分解,获得低频序列、高频序列和噪声序列;S2采用Pearson相关系数法确定影响光伏出力的主要气象因素,并分析其对光伏出力的灵敏度;S3针对低频序列和高频序列并结合灵敏度分别建立考虑气象因素的预测模型;S4根据预测模型获得低频序列预测值和高频序列预测值,并根据低频序列预测值和高频序列预测值获得光伏出力预测值。本发明通过奇异谱分析方法将光伏出力分解为不同的子序列单独分析各序列的特征;通过相关性分析和灵敏度分析获取不同气象因素的单位变化量对光伏出力的影响程度,以便更为精确地预测光伏出力。
The invention discloses a short-term photovoltaic decomposition and prediction method considering changes in meteorological factors, including: S1 decomposing the photovoltaic output time series through a singular spectrum analysis method to obtain low-frequency series, high-frequency series and noise series; S2 using the Pearson correlation coefficient method Determine the main meteorological factors affecting photovoltaic output, and analyze their sensitivity to photovoltaic output; S3 establish a forecast model considering meteorological factors for the low-frequency sequence and high-frequency sequence combined with sensitivity; S4 obtain the low-frequency sequence prediction value and high-frequency sequence according to the prediction model Sequence prediction value, and obtain the photovoltaic output prediction value according to the low-frequency sequence prediction value and the high-frequency sequence prediction value. The present invention decomposes the photovoltaic output into different sub-sequences through the singular spectrum analysis method to analyze the characteristics of each sequence separately; obtains the influence degree of the unit variation of different meteorological factors on the photovoltaic output through correlation analysis and sensitivity analysis, so as to more accurately Forecast PV output.
Description
技术领域technical field
本发明属于风电、光伏等间歇式可再生能源预测技术领域,更具体地,涉及一种考虑气象因素变化的短期光伏分解预测方法(Singular Spectrum Analysis MethodConsidering Meteorological Factors,简称SSA-MF法)。The invention belongs to the technical field of intermittent renewable energy forecasting such as wind power and photovoltaics, and more specifically relates to a short-term photovoltaic decomposition forecasting method (Singular Spectrum Analysis Method Considering Meteorological Factors, referred to as SSA-MF method) considering changes in meteorological factors.
背景技术Background technique
随着高比例可再生能源的发展,风电、光伏等间歇式可再生能源日益得到推广和应用。但是风电、光伏等间歇式可再生能源具有较强的随机性和波动性,使得电力系统的安全稳定和经济运行面临重要挑战。因此,如何较为精确地对风电、光伏等间歇式可再生能源进行预测,对于电力系统的调度运行具有重要的现实指导意义。With the development of a high proportion of renewable energy, intermittent renewable energy such as wind power and photovoltaics has been increasingly popularized and applied. However, intermittent renewable energy sources such as wind power and photovoltaics have strong randomness and volatility, which makes the safety, stability and economic operation of the power system face important challenges. Therefore, how to accurately predict intermittent renewable energy such as wind power and photovoltaics has important practical guiding significance for the dispatching and operation of power systems.
目前,对于光伏出力预测主要有物理类方法、统计类方法以及上述方法的组合方法等三类。物理方法是根据光伏组件所在的详细地理位置和光电转换效率等因素建立物理模型,依据光伏系统的发电原理直接将气象数据作为输入进行预测。其有效性取决于对研究对象内在结构及其遵循规律的把握程度和模型参数的精度,涉及环节多、过程复杂、参数求解困难。统计类方法是建立在利用某种统计方法对历史光伏出力数据进行分析,寻找数据中的内在规律并用于预测。其主要包括时间序列法、回归分析法、灰色预测法以及元启发式系列方法等。元启发式方法的本质是对生物的作息规律进行模拟,采用某种算法对样本数据进行训练而得到预测条件与待预测量之间的关系。元启发式方法主要包括神经网络、支持向量机、遗传算法、模糊系统等。其中神经网络法具有很强的非线性拟合能力,可以映射任意复杂的非线性关系,这与光伏发电系统的特点十分相似,所以很适合对光伏电站出力短期预测。但是单一的神经网络无法适应多变天气类型泛,预测效果不佳。另外,传统的BP神经网络训练采用梯度下降法,容易陷入局部最小值,收敛速度慢。而模糊系统对光伏出力进行预测时,模糊推理规则的建立需要大量的历史数据和充足的专家经验。组合方法利用不同模型提供的信息并发挥各自优势,选择合适的方式进行组合,以期提高预测效果。较前两种方法而言,组合方法建模要比单一方法复杂,实现过程较为困难。At present, there are three main types of photovoltaic output prediction: physical methods, statistical methods, and combination methods of the above methods. The physical method is to establish a physical model based on factors such as the detailed geographical location of the photovoltaic module and the photoelectric conversion efficiency, and directly use the meteorological data as input to predict according to the power generation principle of the photovoltaic system. Its effectiveness depends on the degree of grasp of the internal structure of the research object and the laws it follows, as well as the accuracy of the model parameters. It involves many links, the process is complicated, and the parameters are difficult to solve. Statistical methods are based on the use of certain statistical methods to analyze historical photovoltaic output data, find inherent laws in the data and use them for prediction. It mainly includes time series method, regression analysis method, gray prediction method and meta-heuristic series method. The essence of the meta-heuristic method is to simulate the work and rest rules of organisms, and use some algorithm to train the sample data to obtain the relationship between the predicted conditions and the predicted quantities. Meta-heuristic methods mainly include neural network, support vector machine, genetic algorithm, fuzzy system and so on. Among them, the neural network method has a strong nonlinear fitting ability, and can map any complex nonlinear relationship, which is very similar to the characteristics of the photovoltaic power generation system, so it is very suitable for short-term prediction of the output of photovoltaic power plants. However, a single neural network cannot adapt to the variety of weather types, and the prediction effect is not good. In addition, the traditional BP neural network training adopts the gradient descent method, which is easy to fall into the local minimum and the convergence speed is slow. When the fuzzy system predicts the photovoltaic output, the establishment of fuzzy reasoning rules requires a large amount of historical data and sufficient expert experience. The combination method utilizes the information provided by different models and exerts their respective advantages, and selects the appropriate way to combine in order to improve the prediction effect. Compared with the former two methods, the modeling of the combination method is more complicated than that of the single method, and the realization process is more difficult.
综合所述,上述方法在对光伏出力进行预测时均是利用历史数据处理后建模预测,未考虑数据分解后的子序列所反映的光伏出力特性,未挖掘出光伏出力的一些隐含信息和内在规律,所以要想达到较好的预测效果较难实现。To sum up, when the above methods are used to predict the photovoltaic output, they use the historical data to process and model the prediction, without considering the photovoltaic output characteristics reflected in the sub-sequences after the data decomposition, and not digging out some hidden information and information of the photovoltaic output. Inherent laws, so it is difficult to achieve a better prediction effect.
发明内容Contents of the invention
针对现有技术的缺陷,本发明的目的在于提供一种考虑气象因素变化的短期光伏分解预测方法,旨在解决现有技术中预测精度低的问题。In view of the defects of the prior art, the purpose of the present invention is to provide a short-term photovoltaic decomposition prediction method considering changes in meteorological factors, aiming to solve the problem of low prediction accuracy in the prior art.
本发明提供了一种考虑气象因素变化的短期光伏分解预测方法,包括下述步骤:The invention provides a short-term photovoltaic decomposition prediction method considering changes in meteorological factors, comprising the following steps:
S1:通过奇异谱分析方法对光伏出力时间序列进行分解,获得低频序列、高频序列和噪声序列,并将噪声序列剔除;S1: Decompose the photovoltaic output time series by singular spectrum analysis method to obtain low frequency series, high frequency series and noise series, and remove the noise series;
S2:采用Pearson相关系数法确定影响光伏出力的主要气象因素,并分析所述主要气象因素对光伏出力的灵敏度;S2: Use the Pearson correlation coefficient method to determine the main meteorological factors affecting photovoltaic output, and analyze the sensitivity of the main meteorological factors to photovoltaic output;
S3:针对所述低频序列和所述高频序列并结合所述灵敏度分别建立考虑气象因素的高频序列的预测模型和低频序列的预测模型;S3: For the low-frequency sequence and the high-frequency sequence and in combination with the sensitivity, respectively establish a high-frequency sequence prediction model and a low-frequency sequence prediction model considering meteorological factors;
S4:根据所述高频序列的预测模型获得高频序列预测值,根据所述低频序列的预测模型获得低频序列预测值;并根据所述低频序列预测值和所述高频序列预测值获得光伏出力预测值。S4: Obtain the predicted value of the high-frequency sequence according to the prediction model of the high-frequency sequence, obtain the predicted value of the low-frequency sequence according to the prediction model of the low-frequency sequence; and obtain the photovoltaic value according to the predicted value of the low-frequency sequence and the predicted value of the high-frequency sequence output forecast.
更进一步地,步骤S1具体为:Further, step S1 is specifically:
S11:将光伏出力时间序列变换成矩阵形式,并将该矩阵分解为与之等价的d个子矩阵之和;S11: Transform the photovoltaic output time series into a matrix form, and decompose the matrix into the sum of d equivalent sub-matrices;
S12:将分解得到的d个子矩阵进行分组后获得低频矩阵Zlow、高频矩阵Zhigh和噪声矩阵Znoise,并将所述低频矩阵Zlow、高频矩阵Zhigh和噪声矩阵Znoise分别对角平均化还原成原始序列形式的重构序列后获得所述低频序列Pl、所述高频序列Ph和所述噪声序列Pn。S12: Decompose the d sub-matrices obtained After grouping, the low-frequency matrix Z low , high-frequency matrix Z high and noise matrix Z noise are obtained, and the low-frequency matrix Z low , high-frequency matrix Z high and noise matrix Z noise are respectively diagonally averaged and restored to the original sequence form The low-frequency sequence P l , the high-frequency sequence Ph and the noise sequence P n are obtained after the sequences are reconstructed.
更进一步地,步骤S2中采用Pearson相关系数法确定影响光伏出力的主要气象因素具体为:Furthermore, in step S2, the Pearson correlation coefficient method is used to determine the main meteorological factors affecting photovoltaic output as follows:
S21:选择温度、辐照、风速和降雨量作为气象因素;S21: Select temperature, radiation, wind speed and rainfall as meteorological factors;
S22:根据公式分别计算光伏出力与温度、辐照、风速或降雨量之间的Pearson相关系数;S22: According to the formula Calculate the Pearson correlation coefficient between photovoltaic output and temperature, irradiance, wind speed or rainfall respectively;
S23:根据Pearson相关系数的大小确定影响光伏出力的主要气象因素;S23: Determine the main meteorological factors affecting photovoltaic output according to the size of the Pearson correlation coefficient;
其中,Pearson相关系数的绝对值越接近于1,表明两变量线性相关程度越高。in, Pearson correlation coefficient absolute value of The closer to 1, the higher the degree of linear correlation between the two variables.
更进一步地,步骤S3中建立考虑气象因素的高频序列的预测模型具体为:Furthermore, in step S3, the prediction model of the high-frequency sequence considering meteorological factors is established as follows:
(1)选取高频序列的参照日和基准值:(1) Select the reference date and benchmark value of the high-frequency series:
以待预测日的前一天作为高频序列参照日,并以参照日的光伏出力高频序列作为待预测日高频序列的基准值;Take the day before the day to be predicted as the reference day for the high-frequency sequence, and use the high-frequency sequence of photovoltaic output on the reference day as the benchmark value of the high-frequency sequence on the day to be predicted;
(2)以不同气象因素与光伏出力之间的Pearson相关系数作为该气象因素影响光伏出力变化的权重系数;(2) The Pearson correlation coefficient between different meteorological factors and photovoltaic output is used as the weight coefficient of the meteorological factors affecting the change of photovoltaic output;
(3)根据气象因素对光伏出力变化的灵敏度、待预测日与参照日的温差和辐照差,并根据公式Phigh=P'high+α1ΔP1+α2ΔP2对光伏出力高频序列Phigh进行修正;(3) According to the sensitivity of meteorological factors to the change of photovoltaic output, the temperature difference and radiation difference between the day to be predicted and the reference day, and according to the formula P high =P' high + α 1 ΔP 1 + α 2 ΔP 2 on the high frequency of photovoltaic output The sequence P high is corrected;
其中,Phigh为待预测日的光伏出力高频序列,P'high为参照日的光伏出力高频序列,ΔP1为因温度变化引起的光伏出力高频序列变化量,ΔP2为因辐照变化引起的光伏出力高频序列变化量;α1为温度影响光伏出力高频序列变化的权重系数,α2为辐照影响光伏出力高频序列变化的权重系数。Among them, P high is the high-frequency sequence of photovoltaic output on the day to be predicted, P' high is the high-frequency sequence of photovoltaic output on the reference day, ΔP 1 is the change in the high-frequency sequence of photovoltaic output due to temperature change, and ΔP 2 is the change in the high-frequency sequence of photovoltaic output due to radiation α 1 is the weight coefficient of temperature affecting the high-frequency sequence change of photovoltaic output, and α 2 is the weight coefficient of radiation affecting the high-frequency sequence change of photovoltaic output.
更进一步地,当待预测日温度与参照日温度处于同一灵敏度区间时,ΔP1=St(t-t');当待预测日温度与参照日温度处于两个不同的灵敏度区间时, Furthermore, when the daily temperature to be predicted and the reference daily temperature are in the same sensitivity interval, ΔP 1 =S t (t-t'); when the daily temperature to be predicted and the reference daily temperature are in two different sensitivity intervals,
其中,t为待预测日温度值,t'为参照日温度值,St为待预测日温度所在区间的灵敏度,S't为参照日温度所在区间的灵敏度,表示两个区间公共端点的温度值。Among them, t is the daily temperature value to be predicted, t' is the reference daily temperature value, S t is the sensitivity of the interval of the daily temperature to be predicted, S' t is the sensitivity of the interval of the reference daily temperature, Represents the temperature value at the common endpoint of the two intervals.
更进一步地,步骤S4中,根据低频序列预测值Plow和高频序列预测值Phigh获得光伏出力预测值P=Plow+Phigh。Furthermore, in step S4, the photovoltaic output prediction value P=P low +P high is obtained according to the low-frequency sequence prediction value P low and the high-frequency sequence prediction value P high .
本发明通过奇异谱分析方法将光伏出力分解为不同的子序列,可以单独分析各序列的特征;通过相关性分析和灵敏度分析,可以获取不同气象因素的单位变化量对光伏出力的影响程度,以便更为精确地预测光伏出力,为调度决策人员提供有利的数据参考,从而减小光伏出力接入给电力系统带来的冲击。The present invention decomposes the photovoltaic output into different sub-sequences through the singular spectrum analysis method, and can analyze the characteristics of each sequence separately; through the correlation analysis and sensitivity analysis, the influence degree of the unit change of different meteorological factors on the photovoltaic output can be obtained, so that Predict photovoltaic output more accurately, provide favorable data reference for dispatching decision makers, thereby reducing the impact of photovoltaic output access on the power system.
附图说明Description of drawings
图1是本发明实施例提供的SSA-MF方法思路图;Fig. 1 is a schematic diagram of the SSA-MF method provided by the embodiment of the present invention;
图2是本发明实施例提供的奇异谱分析技术流程图;Fig. 2 is a technical flow chart of singular spectrum analysis provided by an embodiment of the present invention;
图3是2014年4月份光伏出力分解序列;(a)为历史光伏出力;(b)为历史光伏出力低频序列;(c)为历史光伏出力高频序列;(d)为历史光伏出力噪声序列;Figure 3 is the decomposition sequence of photovoltaic output in April 2014; (a) is the historical photovoltaic output; (b) is the low-frequency sequence of historical photovoltaic output; (c) is the high-frequency sequence of historical photovoltaic output; (d) is the noise sequence of historical photovoltaic output ;
图4是5月12日光伏出力实际数据与预测数据曲线(SSA-MF);(a)为5月12日光伏出力低频序列预测值;(b)为5月12日光伏出力高频序列预测值;(c)为5月12日光伏出力预测值。Figure 4 is the actual data and forecast data curve (SSA-MF) of photovoltaic output on May 12; (a) is the low-frequency sequence prediction value of photovoltaic output on May 12; (b) is the high-frequency sequence prediction of photovoltaic output on May 12 value; (c) is the predicted value of photovoltaic output on May 12.
具体实施方式detailed description
为了使本发明的目的、技术方案及优点更加清楚明白,以下结合附图及实施例,对本发明进行进一步详细说明。应当理解,此处所描述的具体实施例仅仅用以解释本发明,并不用于限定本发明。In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described here are only used to explain the present invention, not to limit the present invention.
常规的预测模型和方法往往难以适应光伏出力的间歇性变化,对分解后的子序列也未进行深入挖掘分析,对光伏出力相关的气象因素的处理也较为复杂,使得实现困难或者预测精度不高。本发明的目的在于克服常规光伏出力预测方法下述的两方面局限性:(1)不考虑气象因素时,预测精度不高,难以达到理想的预测效果;(2)考虑气象因素时,对气象因素的处理方法和过程较为复杂,在实际运用中实现难度大。为此,本发明提供一种考虑气象因素变化的短期光伏分解预测方法;本发明中的方法通过相关性分析和灵敏度分析可以简化复杂气象因素对光伏出力影响的处理过程,可以将历史光伏出力数据进行分解,对分解后的子序列分别进行分析和预测,使得预测结果具有较高的精度,保证光伏接入后电力系统的安全稳定运行。Conventional forecasting models and methods are often difficult to adapt to intermittent changes in photovoltaic output, and the decomposed subsequences have not been deeply excavated and analyzed, and the processing of meteorological factors related to photovoltaic output is also relatively complicated, making it difficult to realize or the prediction accuracy is not high . The purpose of the present invention is to overcome the following two limitations of conventional photovoltaic output forecasting methods: (1) when meteorological factors are not considered, the prediction accuracy is not high, and it is difficult to achieve the desired forecasting effect; (2) when meteorological factors are considered, the weather The processing method and process of factors are relatively complicated, and it is difficult to realize in practical application. For this reason, the present invention provides a short-term photovoltaic decomposition prediction method that considers changes in meteorological factors; the method in the present invention can simplify the processing process of the influence of complex meteorological factors on photovoltaic output through correlation analysis and sensitivity analysis, and can use historical photovoltaic output data Decomposition is carried out, and the decomposed subsequences are analyzed and predicted separately, so that the prediction results have higher accuracy and ensure the safe and stable operation of the power system after photovoltaic access.
图1示出了SSA-MF方法思路图,本发明提供的一种考虑气象因素的短期光伏出力预测的奇异谱分析方法,包括以下步骤:Figure 1 shows the idea of SSA-MF method, a singular spectrum analysis method for short-term photovoltaic output prediction considering meteorological factors provided by the present invention, including the following steps:
(1)通过奇异谱分析技术对光伏出力时间序列进行分解,得到低频序列、高频序列和噪声序列。(1) Decompose the photovoltaic output time series by singular spectrum analysis technology to obtain low frequency series, high frequency series and noise series.
奇异谱分析(SSA)方法是一种用于时间序列分析和预测的技术,对信号进行奇异值分解(Singular Value Decomposition,简称SVD分解)可以得到原始信号的趋势特性、周期特性以及白噪声特性等,有利于对原始信号的分析。图2为奇异谱分析技术流程图,主要包括分解和重构两个互补阶段。SSA分解是先将原始时间序列P转化成一矩阵形式,再利用SVD分解得到与原矩阵等价的d个子矩阵。SSA重构是先将SVD分解后的子矩阵进行分组,得到低频、高频和噪声矩阵,再对其对角平均化得到低频、高频和噪声序列。The Singular Spectrum Analysis (SSA) method is a technique for time series analysis and forecasting. Singular Value Decomposition (SVD for short) can be performed on the signal to obtain the trend characteristics, periodic characteristics and white noise characteristics of the original signal, etc. , which is beneficial to the analysis of the original signal. Figure 2 is a flow chart of singular spectrum analysis technology, which mainly includes two complementary stages of decomposition and reconstruction. SSA decomposition is to convert the original time series P into a matrix form first, and then use SVD decomposition to obtain d sub-matrices equivalent to the original matrix. The SSA reconstruction is to group the sub-matrices after SVD decomposition to obtain low-frequency, high-frequency and noise matrices, and then diagonally average them to obtain low-frequency, high-frequency and noise sequences.
步骤(1)具体为:Step (1) is specifically:
(11):SSA分解:SSA分解方法的基本思想是将原始时间序列变换成一矩阵形式,再将该矩阵分解为与之等价的多个子矩阵之和。SSA分解主要分为嵌入操作(Embedding)和SVD分解(Singular Value Decomposition)两个步骤。(11): SSA decomposition: The basic idea of the SSA decomposition method is to transform the original time series into a matrix form, and then decompose the matrix into the sum of multiple equivalent sub-matrices. SSA decomposition is mainly divided into two steps: embedding operation (Embedding) and SVD decomposition (Singular Value Decomposition).
(111):嵌入操作:嵌入操作是将长度为N(N>2)的原始一维时序光伏出力P=(P1,P2,L,PN)转化为多维时序光伏出力矩阵Z=[Z1,Z2,L,ZK]的一种映射操作,即P=(P1,P2,L,PN)→Z=[Z1,Z2,L,ZK]……(1);其中,Zi(i=1,2,L,K)为矩阵Z的某一列,Zi=(Pi,Pi+1,L,Pi+L-1)T∈RL,共有L维,L为嵌入维数(2≤L≤N),K=N-L+1。通常,L的选取不宜超过整个序列长度的1/3。称矩阵Z为轨迹矩阵(Trajectory Matrix),即:至此,完成一维光伏出力序列向多维光伏出力矩阵的转换。(111): Embedding operation: The embedding operation is to transform the original one-dimensional time-series photovoltaic output P=(P 1 ,P 2 ,L,P N ) with a length of N (N>2) into a multi-dimensional time-series photovoltaic output matrix Z=[ A mapping operation of Z 1 , Z 2 , L, Z K ], that is, P=(P 1 , P 2 , L, P N )→Z=[Z 1 , Z 2 , L, Z K ]...( 1); where Z i (i=1,2,L,K) is a certain column of matrix Z, Z i =(P i ,P i+1 ,L,P i+L-1 ) T ∈ R L , there are L dimensions in total, L is the embedding dimension (2≤L≤N), K=N-L+1. Usually, the selection of L should not exceed 1/3 of the entire sequence length. The matrix Z is called the trajectory matrix (Trajectory Matrix), that is: So far, the transformation from one-dimensional photovoltaic output sequence to multi-dimensional photovoltaic output matrix is completed.
(112):SVD分解:SVD分解将式(2)的轨迹矩阵Z分解为d个子矩阵d为矩阵Z的秩,并使得d个子矩阵之和等于矩阵Z,即: 按式(4)计算式中,λ1,λ2,L,λL(λ1≥λ2≥L≥λL≥0)为S=ZZT的特征值,U1,U2,L,UL为特征向量标准正交系统。(112): SVD decomposition: SVD decomposition decomposes the trajectory matrix Z of formula (2) into d sub-matrices d is the rank of matrix Z, and makes the sum of d submatrices equal to matrix Z, namely: Calculate according to formula (4) In the formula, λ 1 , λ 2 , L, λ L (λ 1 ≥ λ 2 ≥ L ≥ λ L ≥ 0) are the eigenvalues of S=ZZ T , U 1 , U 2 , L, U L are the standard eigenvectors Orthogonal system.
Vj由式(5)求得其中,Uj和Vj分别表示轨迹矩阵Z的左右特征向量,为轨迹矩阵Z的奇异值,集合为矩阵Z的奇异谱,共同形成一个特征环至此,完成SVD分解,得到矩阵Z的奇异谱所对应的d个子矩阵。V j is obtained from formula (5) Among them, U j and V j represent the left and right eigenvectors of the trajectory matrix Z, respectively, is the singular value of trajectory matrix Z, set is the singular spectrum of the matrix Z, together form a characteristic ring So far, the SVD decomposition is completed, and d sub-matrices corresponding to the singular spectrum of the matrix Z are obtained.
(12):SSA重构:SSA重构是先将SVD分解得到的d个子矩阵进行分组,得到低频/高频/噪声矩阵,分别记为Zlow、Zhigh和Znoise;再将低频/高频/噪声矩阵分别对角平均化还原成原始序列形式的重构序列,即低频序列Pl、高频序列Ph和噪声序列Pn。SSA重构主要包括分组(Grouping)和对角平均化(Diagonal Averaging)两个步骤。(12): SSA reconstruction: SSA reconstruction is the d sub-matrix obtained by decomposing SVD first Carry out grouping to obtain the low frequency/high frequency/noise matrix, which are respectively recorded as Z low , Z high and Z noise ; then the low frequency/high frequency/noise matrix is diagonally averaged and restored to the reconstructed sequence in the form of the original sequence, that is, the low frequency Sequence P l , high frequency sequence Ph and noise sequence P n . SSA reconstruction mainly includes two steps: Grouping and Diagonal Averaging.
(121):分组:根据前r(r≥0)个奇异值对矩阵Z的奇异值之和的贡献率η,以及奇异值发生较大跳跃的情况,进行分组。例如,假设λ'和λ”为矩阵S的两个不相等的特征值,且λ'和λ”均远小于其前一个特征值λ'0和λ”0。当λj≥λ'时,λj所对应的矩阵Zj视为低频子矩阵;λ'>λj>λ”时,λj所对应的矩阵Zj视为高频子矩阵;λj≤λ'时,λj所对应的矩阵Zj视为噪声子矩阵。具体分组视实际情况而定。即可将式(3)得到的d个子矩阵分成如式(6)所示的低频/高频/噪声矩阵。贡献率η的计算公式如式(7)所示: (121): Grouping: Grouping is performed according to the contribution rate η of the first r (r≥0) singular values to the sum of the singular values of matrix Z, and the large jumps in the singular values. For example, suppose λ' and λ" are two unequal eigenvalues of matrix S, and both λ' and λ" are much smaller than their previous eigenvalues λ' 0 and λ" 0 . When λ j ≥ λ', The matrix Z j corresponding to λ j is regarded as a low-frequency sub-matrix; when λ'> λ j >λ", the matrix Z j corresponding to λ j is regarded as a high-frequency sub-matrix; when λ j ≤ λ', the corresponding matrix Z j of λ j The matrix Z j of is regarded as a noise sub-matrix. The specific grouping depends on the actual situation. That is, the d sub-matrices obtained by formula (3) can be divided into low-frequency/high-frequency/noise matrices as shown in formula (6). The calculation formula of contribution rate η is shown in formula (7):
(122):对角平均化:进一步将步骤S121分组确定的低频/高频/噪声矩阵变换成长度为N的低频/高频/噪声序列,下面以高频矩阵Zhigh为例进行说明。(122): Diagonal averaging: further transform the low-frequency/high-frequency/noise matrix determined by grouping in step S121 into a low-frequency/high-frequency/noise sequence with a length of N. The high-frequency matrix Z high is used as an example for illustration below.
假定Zhigh为a×b的矩阵,Zij为Zhigh的任一元素,记a*=min(a,b),b*=max(a,b),N=a+b-1,且当a<b时,否则,上述分组矩阵所对应的重构序列RC=(rc1,rc2,…,rcN)可由下式求得:Suppose Z high is a matrix of a×b, Z ij is any element of Z high , denote a * =min(a,b), b * =max(a,b), N=a+b-1, and When a<b, otherwise, The reconstruction sequence RC=(rc 1 ,rc 2 ,…,rc N ) corresponding to the above grouping matrix can be obtained by the following formula:
由式(8),即可得到低频序列Ph,同理可求得低频序列Pl及噪声序列Pn。 From formula (8), the low-frequency sequence P h can be obtained, and the low-frequency sequence P l and the noise sequence P n can be obtained similarly.
(2)采用Pearson相关系数法确定影响光伏出力的主要气象因素。(2) Use the Pearson correlation coefficient method to determine the main meteorological factors affecting photovoltaic output.
具体实现方法如下:对光伏出力时间序列和不同气象因素进行相关性分析。本发明采用如式(9)所示的Pearson相关系数法。1)选择气象因素,本发明对温度、辐照、风速、降雨量等不同气象因素进行研究;2)根据式(9)分别计算光伏出力与温度、辐照、风速、降雨量等气象因素之间的Pearson相关系数,其计算结果如表1所示;3)根据2)中相关系数的大小确定影响光伏出力的主要气象因素。The specific implementation method is as follows: Correlation analysis is performed on the time series of photovoltaic output and different meteorological factors. The present invention adopts the Pearson correlation coefficient method shown in formula (9). 1) select meteorological factors, the present invention studies different meteorological factors such as temperature, radiation, wind speed, rainfall; 2) calculate the difference between photovoltaic output and meteorological factors such as temperature, radiation, wind speed, rainfall, etc. according to formula (9) respectively The calculation results are shown in Table 1; 3) According to the size of the correlation coefficient in 2), determine the main meteorological factors affecting photovoltaic output.
其中,相关系数的绝对值越接近于1,表明两变量线性相关程度越高。 in, correlation coefficient absolute value of The closer to 1, the higher the degree of linear correlation between the two variables.
表1气象数据与光出力数据的相关性系数Table 1 Correlation coefficient between meteorological data and light output data
(3)根据步骤(2)确定的主要气象因素,分析各主要气象对光伏出力的灵敏度。(3) According to the main weather factors determined in step (2), analyze the sensitivity of each main weather to photovoltaic output.
分析主要气象因素对光伏出力变化的灵敏度,光伏出力对气象因素的灵敏度指的是单位气象因素变化下光伏出力的变化量。Analyze the sensitivity of the main meteorological factors to the change of photovoltaic output. The sensitivity of photovoltaic output to meteorological factors refers to the change of photovoltaic output under the change of unit meteorological factors.
分析主要气象因素对光伏出力变化的灵敏度,光伏出力对气象因素的灵敏度指的是单位气象因素变化下光伏出力的变化量。具体操作过程如下:根据2中确定的主要气象因素(以下以温度和辐照强度为例进行阐述),分别分析光伏出力对温度和辐照强度的灵敏度,其求解结果如表2、表3所示。Analyze the sensitivity of the main meteorological factors to the change of photovoltaic output. The sensitivity of photovoltaic output to meteorological factors refers to the change of photovoltaic output under the change of unit meteorological factors. The specific operation process is as follows: According to the main meteorological factors determined in 2 (the temperature and radiation intensity are taken as examples below), the sensitivity of photovoltaic output to temperature and radiation intensity is analyzed respectively, and the solution results are shown in Table 2 and Table 3 Show.
表2光伏出力对气温变化的灵敏度Table 2 Sensitivity of photovoltaic output to temperature changes
表3光伏出力对辐照强度变化的灵敏度Table 3 Sensitivity of photovoltaic output to changes in irradiance intensity
(4)针对低频序列和高频序列,分别建立考虑气象因素的预测模型。(4) For low-frequency series and high-frequency series, respectively establish forecasting models considering meteorological factors.
考虑到对低频/高频序列建模预测的步骤相同,以下以高频序列的预测过程为例进行说明。Considering that the steps of modeling and forecasting low-frequency/high-frequency series are the same, the following takes the forecasting process of high-frequency series as an example to illustrate.
具体做法如下:The specific method is as follows:
a.选取高频序列的参照日和基准值,以待预测日的前一天作为高频序列参照日,并以参照日的光伏出力高频序列作为待预测日高频序列的基准值。a. Select the reference day and benchmark value of the high-frequency series, take the day before the day to be predicted as the reference day of the high-frequency series, and use the high-frequency series of photovoltaic output on the reference day as the benchmark value of the high-frequency series on the day to be predicted.
b.以不同气象因素与光伏出力之间的Pearson相关系数作为该气象因素影响光伏出力变化的权重系数。b. The Pearson correlation coefficient between different meteorological factors and photovoltaic output is used as the weight coefficient of the meteorological factors affecting the change of photovoltaic output.
c.根据气象因素对光伏出力变化的灵敏度、待预测日与参照日的温差和辐照差,按照式(10)对光伏出力高频序列Phigh进行修正。c. According to the sensitivity of meteorological factors to the change of photovoltaic output, the temperature difference and radiation difference between the day to be predicted and the reference day, the high-frequency sequence P high of photovoltaic output is corrected according to formula (10).
Phigh=P'high+α1ΔP1+α2ΔP2……(10);式中:Phigh,P'high,ΔP1和ΔP2分别为待预测日的光伏出力高频序列、参照日的光伏出力高频序列、因温度变化引起的光伏出力高频序列变化量以及因辐照变化引起的光伏出力高频序列变化量。α1和α2分别为温度和辐照影响光伏出力高频序列变化的权重系数。P high =P' high + α 1 ΔP 1 + α 2 ΔP 2 ... (10); where: P high , P' high , ΔP 1 and ΔP 2 are the high-frequency sequence of photovoltaic output on the day to be predicted, and the reference Daily photovoltaic output high-frequency sequence, photovoltaic output high-frequency sequence variation caused by temperature changes, and photovoltaic output high-frequency sequence variation caused by radiation changes. α 1 and α 2 are the weight coefficients of temperature and radiation affecting the high-frequency sequence change of photovoltaic output, respectively.
从式(10)可以看出,修正的量包括ΔP1和ΔP2,本发明采用下述方法确定两者的取值,以下以ΔP1为例进行说明。It can be seen from formula (10) that the corrected amount includes ΔP 1 and ΔP 2 , and the present invention adopts the following method to determine the values of the two, and ΔP 1 is taken as an example for illustration below.
(a)当待预测日温度与参照日温度处于同一灵敏度区间时:(a) When the daily temperature to be predicted is in the same sensitivity range as the reference daily temperature:
ΔP1=St(t-t')……(11);ΔP 1 =S t (t-t')...(11);
(b)当待预测日温度与参照日温度处于两个不同的灵敏度区间时,如以两个相邻区间为例,则式中:t和t'分别表示待预测日温度与参照日温度值;St和S't分别表示待预测日温度与参照日温度各自所在区间的灵敏度;表示两个区间公共端点的温度值。(b) When the daily temperature to be predicted and the reference daily temperature are in two different sensitivity intervals, if two adjacent intervals are taken as an example, then In the formula: t and t' represent the temperature values of the day to be predicted and the reference day, respectively; S t and S' t represent the sensitivity of the respective intervals of the temperature of the day to be predicted and the reference day; Represents the temperature value at the common endpoint of the two intervals.
(5)将步骤(4)得到低频序列预测值和高频序列预测值按照式(13)进行叠加,得到光伏出力预测值。(5) Superimpose the predicted value of the low-frequency sequence and the predicted value of the high-frequency sequence obtained in step (4) according to formula (13) to obtain the predicted value of photovoltaic output.
P=Plow+Phigh……(13);其中,Plow、Phigh分别为低频序列、高频序列预测值。P=P low +P high ... (13); wherein, P low and P high are predicted values of low frequency sequence and high frequency sequence respectively.
以下结合附图对本发明实施案例作进一步详细说明。The implementation examples of the present invention will be described in further detail below in conjunction with the accompanying drawings.
本发明提出了一种适用于风电、光伏等间歇式可再生能源预测的方法;具体提供了一种考虑气象因素的短期光伏出力预测的奇异谱分析方法。该方法可以通过奇异谱分析技术(Singular Spectrum Analysis,简称SSA法)将光伏出力分解为不同的子序列,可以单独分析各序列的特征;通过相关性分析和灵敏度分析,可以获取不同气象因素的单位变化量对光伏出力的影响程度,以便更为精确地预测光伏出力,为调度决策人员提供有利的数据参考,从而减小光伏出力接入给电力系统带来的冲击。The invention proposes a method suitable for forecasting intermittent renewable energy sources such as wind power and photovoltaics; specifically, it provides a singular spectrum analysis method for short-term photovoltaic output forecast considering meteorological factors. This method can decompose the photovoltaic output into different sub-sequences through singular spectrum analysis technology (Singular Spectrum Analysis, referred to as SSA method), and can analyze the characteristics of each sequence separately; through correlation analysis and sensitivity analysis, the units of different meteorological factors can be obtained The degree of influence of the change on the photovoltaic output can be used to more accurately predict the photovoltaic output and provide favorable data reference for dispatching decision makers, thereby reducing the impact of photovoltaic output access on the power system.
实施步骤1:获取2013年5月1日至2014年5月30日的光伏出力、温度、辐照、风速、降雨量及2014年5月的温度、辐照等数据。本发明采用过去1年的数据预测未来1天的光伏出力,发明中以2013年5月1日至2014年5月30日的数据作为预测样本,2014年5月的数据作为测试样本。Implementation step 1: Obtain the data of photovoltaic output, temperature, radiation, wind speed, rainfall from May 1, 2013 to May 30, 2014, and the data of temperature and radiation in May 2014. The present invention uses the data of the past year to predict the photovoltaic output in the next day. In the invention, the data from May 1, 2013 to May 30, 2014 is used as the prediction sample, and the data in May 2014 is used as the test sample.
实施步骤2:利用SSA技术对光伏出力时间序列进行分解,得到光伏出力低频序列、高频序列和噪声序列如图1所示。由于噪声序列是由特征值占比很小的子矩阵重构而成,对原始数据的影响不大,考虑将噪声序列剔除。因此,本发明重点对低频序列和高频序列进行预测。Implementation step 2: Use SSA technology to decompose the time series of photovoltaic output, and obtain the low-frequency sequence, high-frequency sequence and noise sequence of photovoltaic output, as shown in Figure 1. Since the noise sequence is reconstructed from a sub-matrix with a small proportion of eigenvalues and has little effect on the original data, consider removing the noise sequence. Therefore, the present invention focuses on predicting low-frequency sequences and high-frequency sequences.
实施步骤3:利用Pearson相关系数法确定影响光伏出力变化的主要气象因素,根据表1中计算结知,温度和辐照强度为影响光伏出力的主要气象因素。Implementation step 3: Use the Pearson correlation coefficient method to determine the main meteorological factors affecting the change of photovoltaic output. According to the calculation results in Table 1, temperature and radiation intensity are the main meteorological factors affecting photovoltaic output.
实施步骤4:计算主要气象因素即温度和辐照强度对光伏出力变化的灵敏度,如表2和表3所示。Implementation step 4: Calculate the sensitivity of the main meteorological factors, namely temperature and irradiance intensity, to changes in photovoltaic output, as shown in Table 2 and Table 3.
实施步骤5:根据灵敏度计算的结果,对低频序列和高频序列分别进行建模预测。得到低频序列和高频序列的预测结果,如图4(a)、4(b)所示。Implementation step 5: According to the result of sensitivity calculation, model and predict the low-frequency sequence and high-frequency sequence respectively. The prediction results of low-frequency sequence and high-frequency sequence are obtained, as shown in Figure 4(a) and 4(b).
实施步骤6:将步骤5得到的低频序列和高频序列进行叠加,得到图4(c)光伏出力的预测结果。Implement step 6: superimpose the low-frequency sequence and high-frequency sequence obtained in step 5 to obtain the prediction result of photovoltaic output in Figure 4(c).
本领域的技术人员容易理解,以上所述仅为本发明的较佳实施例而已,并不用以限制本发明,凡在本发明的精神和原则之内所作的任何修改、等同替换和改进等,均应包含在本发明的保护范围之内。Those skilled in the art can easily understand that the above descriptions are only preferred embodiments of the present invention, and are not intended to limit the present invention. Any modifications, equivalent replacements and improvements made within the spirit and principles of the present invention, All should be included within the protection scope of the present invention.
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