CN115879799A - Transformer substation electric energy quality analysis method - Google Patents
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Abstract
本发明公开一种变电站电能质量分析方法,包括:按照预设的电能质量指标体系获取监测点的变电站电能质量数据,对各监测周期的变电站电能质量数据进行有效性判别,得到监测点的有效监测周期;计算监测点有效监测周期内各类数据的平均值;根据各类数据的平均值以及数据的质量特性,计算各类数据的单指标质量;根据各类数据的平均值计算各类数据的客观权重;获取各类数据的重要程度信息,根据所述重要程度信息计算各类数据的主观权重;根据各类数据的主观权重、客观权重以及单指标质量,计算监测点的综合电能质量。利用本发明方法能够全面准确地分析电能质量,为电网安全、经济运行提供可靠数据基础。
The invention discloses a method for analyzing power quality of a substation, comprising: obtaining power quality data of a monitoring point in a substation according to a preset power quality index system, and discriminating the validity of the power quality data of a substation in each monitoring cycle to obtain effective monitoring of the monitoring point Period; calculate the average value of various data in the effective monitoring period of the monitoring point; calculate the single index quality of various data according to the average value of various data and the quality characteristics of the data; calculate the quality of various data according to the average value of various data Objective weight: obtain the importance degree information of various data, and calculate the subjective weight of various data according to the importance degree information; calculate the comprehensive power quality of the monitoring point according to the subjective weight, objective weight and single index quality of various data. The method of the invention can comprehensively and accurately analyze the power quality, and provide reliable data basis for the safe and economical operation of the power grid.
Description
技术领域Technical Field
本发明涉及电力系统运行分析技术领域,特别是一种变电站电能质量分析方法。The invention relates to the technical field of power system operation analysis, in particular to a method for analyzing power quality of a substation.
背景技术Background Art
随着电气化铁路、风电等特殊重点负荷接入电网,其固有的波动性和并网所需整流电力电子设备的使用,给电网带来谐波、三相不平衡等电能质量问题,恶化了电网单项指标的水平;同时随着科技的发展,工业设备采用的新型设备和用户智能家用电器的使用,电力用户对电能的需求已从供电量向优质供电转变。因此,电能质量日益受到各方面的高度关注,电能质量分析可以为用户提供判断供电质量的参考依据,也可以为电网安全、经济运行提供指导。With the access of special key loads such as electrified railways and wind power to the power grid, their inherent volatility and the use of rectifier power electronic equipment required for grid connection have brought power quality problems such as harmonics and three-phase imbalance to the power grid, worsening the level of single indicators of the power grid; at the same time, with the development of science and technology, the use of new equipment in industrial equipment and the use of smart home appliances by users, the demand of power users for electricity has shifted from power supply quantity to high-quality power supply. Therefore, power quality has received increasing attention from all parties. Power quality analysis can provide users with a reference for judging power supply quality, and can also provide guidance for the safe and economic operation of the power grid.
电能质量指标数据主要通过电能质量监测装置获取,每个监测点每天上传的数据量是一定的,实际应用中,由于监测装置故障或者数据上传异常,在监测周期内各指标实际收到的数据不齐全。现有的分析方法在选择数据时具有一定随机性,导致电能质量综合分析结果不贴近真实水平,且往往只能粗犷确定各监测点电能质量等级,分析结果不够精细。Power quality index data is mainly obtained through power quality monitoring devices. The amount of data uploaded by each monitoring point every day is certain. In actual applications, due to monitoring device failures or abnormal data uploads, the data actually received by each indicator during the monitoring period is incomplete. The existing analysis methods have a certain degree of randomness when selecting data, resulting in the comprehensive analysis results of power quality not being close to the actual level, and often can only roughly determine the power quality level of each monitoring point, and the analysis results are not detailed enough.
发明内容Summary of the invention
本发明的目的是提供一种变电站电能质量分析方法,能够全面准确的分析电能质量,为电网安全、经济运行提供可靠数据基础。The purpose of the present invention is to provide a substation power quality analysis method, which can comprehensively and accurately analyze the power quality and provide a reliable data basis for the safe and economical operation of the power grid.
为达到以上目的,本发明采用的技术方案为,一种变电站电能质量分析方法,包括:To achieve the above objectives, the technical solution adopted by the present invention is a substation power quality analysis method, comprising:
按照预设的电能质量指标体系,获取监测点处至少一个监测周期内的变电站电能质量数据,其中,所述变电站电能质量数据包括电压偏差、电压总谐波率、三相不平衡度指标、长时电压闪变、功率因数中的多类数据;According to the preset power quality index system, the power quality data of the substation within at least one monitoring period at the monitoring point is obtained, wherein the power quality data of the substation includes multiple types of data such as voltage deviation, voltage total harmonic rate, three-phase unbalance index, long-term voltage flicker, and power factor;
根据获取到的各监测周期内各类数据的数量,对各监测周期的变电站电能质量数据进行有效性判别,得到监测点的有效监测周期;According to the quantity of each type of data obtained in each monitoring period, the validity of the substation power quality data in each monitoring period is judged to obtain the effective monitoring period of the monitoring point;
计算监测点有效监测周期内各类数据的平均值;Calculate the average value of various data within the effective monitoring period of the monitoring point;
根据各类数据的平均值以及数据的质量特性,计算各类数据的单指标质量;Calculate the single indicator quality of each type of data based on the average value of each type of data and the quality characteristics of the data;
根据各类数据的平均值计算各类数据的客观权重;Calculate the objective weight of each type of data based on the average value of each type of data;
获取各类数据的重要程度信息,根据所述重要程度信息计算各类数据的主观权重;Obtaining importance information of various types of data, and calculating subjective weights of various types of data based on the importance information;
根据各类数据的主观权重、客观权重以及单指标质量,计算监测点的综合电能质量。The comprehensive power quality of the monitoring point is calculated based on the subjective weight, objective weight and single indicator quality of various types of data.
上述技术方案中,可在变电站内不同位置设置监测点,利用变电站电能质量监测装置监测各类变电站电能质量数据,并通过以上方案计算得到各个监测点的综合电能质量参考值,方便针对综合电能质量水平相当的监测点进行进一步的电能质量影响因素分析,为电能质量改善提供依据。In the above technical scheme, monitoring points can be set up at different locations in the substation, and the substation power quality monitoring device can be used to monitor the power quality data of various substations. The comprehensive power quality reference value of each monitoring point can be calculated through the above scheme, which is convenient for further analysis of power quality influencing factors for monitoring points with equivalent comprehensive power quality levels, providing a basis for improving power quality.
可选的,所述根据获取到的各监测周期内各类数据的数量,对各监测周期的变电站电能质量数据进行有效性判别,包括:Optionally, judging the validity of the substation power quality data of each monitoring period according to the quantity of each type of data in each monitoring period obtained includes:
a1)根据数据采样频率确定数据完整度阈值;a1) Determine the data integrity threshold based on the data sampling frequency;
b1)对于各监测周期内的各类数据,分别判断数据个数是否超过所述数据完整度阈值,若超过则相应类数据为有效数据;b1) for each type of data in each monitoring period, determine whether the number of data exceeds the data integrity threshold, if so, the corresponding type of data is valid data;
c1)对于各监测周期,若其每一类数据皆为有效数据,则监测周期为有效监测周期,否则为无效监测周期。c1) For each monitoring period, if each type of data is valid data, then the monitoring period is a valid monitoring period, otherwise it is an invalid monitoring period.
可选的,所述根据数据采样频率确定数据完整度阈值,公式为:Optionally, the data integrity threshold is determined according to the data sampling frequency, and the formula is:
式中,M表示数据完整度阈值,N表示监测周期数据采样的标准数据个数,表示为:In the formula, M represents the data integrity threshold, and N represents the number of standard data sampled during the monitoring period, which can be expressed as:
式中,T表示监测周期时间长度,t1表示采样时间间隔。Where T represents the length of the monitoring cycle, and t1 represents the sampling time interval.
可选的,所述根据各类数据的平均值以及数据的质量特性,计算各类数据的单指标质量,包括:Optionally, the calculating of the single indicator quality of each type of data according to the average value of each type of data and the quality characteristics of the data includes:
a2)根据各类数据的质量特性确定数据指标类型,其中,所述数据指标类型包括质量特性为数值越大指标越好的极大型指标,质量特性为数值越小指标越好的极小型指标,以及数值在某一区间内时指标最好的区间型指标;a2) determining the data indicator type according to the quality characteristics of each type of data, wherein the data indicator type includes a very large indicator whose quality characteristic is that the larger the value, the better the indicator, a very small indicator whose quality characteristic is that the smaller the value, the better the indicator, and an interval indicator whose quality characteristic is that the indicator is best when the value is within a certain interval;
b2)对于各类数据,根据数据指标类型以及数据平均值计算单指标质量:b2) For each type of data, calculate the quality of a single indicator based on the data indicator type and the data average value:
对于极大型指标和极小型指标,单指标质量计算公式为:For very large and very small indicators, the single indicator quality calculation formula is:
式中,表示数据指标类型为极大型指标或者极小型指标的第j类数据的平均值,Kj、kj分别表示该类数据的理想值及阈值,60分表示合格分数,40表示基准变化分数,合格分数和基准变化分数可根据需要适当调整;In the formula, It indicates the average value of the jth type of data whose data indicator type is extremely large indicator or extremely small indicator. K j and k j respectively represent the ideal value and threshold of this type of data. 60 points represent the passing score and 40 represents the benchmark change score. The passing score and benchmark change score can be adjusted appropriately according to needs.
对于区间型指标,单指标质量计算公式为:For interval indicators, the single indicator quality calculation formula is:
式中,表示数据指标类型为区间型指标的第j类数据的平均值,qj、Qj分别表示该类数据的理想值左右边界,fj、Fj分别表示第j个区间型指标阈值左右边界。In the formula, It represents the average value of the j-th type of data whose data indicator type is interval indicator. q j and Q j represent the left and right boundaries of the ideal value of this type of data respectively. f j and F j represent the left and right boundaries of the j-th interval indicator threshold respectively.
可选的,所述根据各类数据的平均值计算各类数据的客观权重,包括:Optionally, the calculating the objective weight of each type of data according to the average value of each type of data includes:
a3)对多个监测点的有效监测周期内的各类数据的平均值进行标准化处理,得到由多个监测点的有效监测周期内多类数据的标准化数据组成的标准化矩阵:a3) Standardize the average values of various types of data within the effective monitoring period of multiple monitoring points to obtain a standardized matrix composed of standardized data of multiple types of data within the effective monitoring period of multiple monitoring points:
式中,用表示第j个监测点的有效监测周期内第i类数据的平均值,则表示的标准化结果,标准化公式为:In the formula, use represents the average value of the i-th type of data in the effective monitoring period of the j-th monitoring point, then express The standardized result is:
其中,m为监测点数量,n为所考虑的变电站电能质量数据的种类数量;Where m is the number of monitoring points, n is the number of types of substation power quality data considered;
b3)求正定矩阵H=A1 TA1中最大特征值所对应的特征向量,并进行归一化处理,得到向量:b3) Find the eigenvector corresponding to the maximum eigenvalue in the positive definite matrix H = A 1 T A 1 and normalize it to obtain the vector:
w'={w1',w2',…wn'}w'={w 1 ', w 2 ',... w n '}
c3)将其中的w1',w2',…wn'分别作为n类数据的客观权重。c3) Take w 1 ', w 2 ', ... w n ' as the objective weights of n types of data respectively.
可选的,所述根据重要程度信息计算各类数据的主观权重包括:Optionally, the calculating of subjective weights of various types of data according to importance information includes:
a4)根据获取到的重要程度信息,按照重要程度对各类数据进行排序;a4) Sort the various types of data by importance based on the acquired importance information;
b4)对于排序后的各类数据,根据所述重要程度信息计算相邻指标数据类型之间的相对重要程度Rk,k=2,3,...,n,n为数据种类数量;b4) for each type of data after sorting, the relative importance R k between adjacent indicator data types is calculated according to the importance information, k=2, 3, ..., n, where n is the number of data types;
c4)根据所述相对重要程度Rk,计算排序后各类数据的主观权重wk,k=1,2,3,...,n。c4) According to the relative importance R k , the subjective weight w k of each type of data after sorting is calculated, k=1, 2, 3, ..., n.
可选的,b4中,所述根据所述重要程度信息计算相邻指标数据类型之间的相对重要程度Rk的方法为,对于按照重要程度由大到小排序后的第k类数据,k≠1:Optionally, in b4, the method for calculating the relative importance R k between adjacent indicator data types according to the importance information is, for the kth type of data sorted in descending order of importance, k≠1:
若第k类数据与第k-1类数据一样重要,则Rk=1;If the k-th category data is as important as the k-1-th category data, then R k = 1;
若第k类数据比第k-1类数据稍微重要,则Rk=1.2;If the kth class data is slightly more important than the k-1th class data, then R k = 1.2;
若第k类数据比第k-1类数据明显重要,则Rk=1.4;If the k-th category data is significantly more important than the k-1-th category data, then R k = 1.4;
若第k类数据比第k-1类数据强烈重要,则Rk=1.6;If the k-th category data is more important than the k-1-th category data, then R k = 1.6;
若第k类数据比第k-1类数据极端重要,则Rk=1.8。If the k-th category data is extremely important than the k-1-th category data, then R k = 1.8.
可选的,c4中,所述根据相对重要程度Rk,计算排序后各类数据的主观权重wk,k=1,2,3,...,n,包括:Optionally, in c4, the calculation of the subjective weight w k of each type of data after sorting according to the relative importance R k , k=1,2,3,...,n, includes:
c41)计算相对重要程度排在最后的第n类数据的主观权重,公式为:c41) Calculate the subjective weight of the nth category of data with the lowest relative importance. The formula is:
c42)根据wn依次计算其它各类数据的主观权重,公式为:wk-1=Rkwk。c42) Calculate the subjective weights of other types of data in turn according to w n , the formula is: w k-1 =R k w k .
可选的,所述根据各类数据的主观权重、客观权重以及单指标质量,计算监测点的综合电能质量,包括:Optionally, the comprehensive power quality of the monitoring point is calculated according to the subjective weight, objective weight and single indicator quality of various types of data, including:
a5)根据预设的主观权重系数和客观权重系数确定各类数据的综合权重,公式为:a5) Determine the comprehensive weight of each type of data based on the preset subjective weight coefficient and objective weight coefficient. The formula is:
Wi=αwi+βwi' Wi = αwi + βwi '
式中,Wi表示第i类数据的综合权重,wi和wi'分别为第i类数据的主观权重和客观权重,α和β分别为主观权重系数和客观权重系数;In the formula, Wi represents the comprehensive weight of the i-th category data, Wi and Wi ' are the subjective weight and objective weight of the i-th category data, α and β are the subjective weight coefficient and objective weight coefficient, respectively;
b5)根据各类数据的的综合权重和单指标质量,计算监测点的综合电能质量,公式为:b5) According to the comprehensive weight of various data and the quality of single indicators, the comprehensive power quality of the monitoring point is calculated. The formula is:
式中,Pi表示第i个监测点的综合电能质量,表示第i个监测点的有效监测周期中第j类数据的单指标质量,n为数据种类数量。Where Pi represents the comprehensive power quality of the ith monitoring point, It represents the single indicator quality of the j-th type of data in the effective monitoring period of the ith monitoring point, and n is the number of data types.
可选的,方法还包括:根据监测点的综合电能质量确定相应监测点的电能质量等级,其中,电能质量等级划分为优秀、良好、中等、较差和极差5个等级。Pi≥90表示电能质量为优秀等级,80≤Pi<90表示电能质量为良好等级,70≤Pi<80表示电能质量为中等级别,60≤Pi<70表示电能质量为较差级别,Pi<60表示电能质量极差。Optionally, the method further includes: determining the power quality level of the corresponding monitoring point according to the comprehensive power quality of the monitoring point, wherein the power quality level is divided into five levels: excellent, good, medium, poor and extremely poor. P i ≥ 90 indicates that the power quality is excellent, 80 ≤ P i < 90 indicates that the power quality is good, 70 ≤ P i < 80 indicates that the power quality is medium, 60 ≤ P i < 70 indicates that the power quality is poor, and P i < 60 indicates that the power quality is extremely poor.
有益效果Beneficial Effects
本发明根据监测周期内的理论数据总量确定数据完整度参考值,对所采集的数据进行有效性辨识,并进而获得各监测点的有效监测周期,可避免因数据缺失导致电能质量结果不贴近真实水平。同时,本发明采用主客观综合赋权方法为各数据指标赋权,既体现专家意见对电能质量分析结果的重要程度,又凸显各数据指标对象之间的整体差异性,避免了采用单一赋权法使电能质量指标权重过于主观或过于客观。利用本发明的方法,能够得出不同监测点电能质量并可进一步划分电能质量等级,针对处于同一电能质量等级的各监测点,可进一步评估电能质量优劣情况及电能质量影响因素,使分析结果更精细,并为电力线路建设维护提供数据参考,具有较高的适用性和推广性。The present invention determines the data integrity reference value based on the total amount of theoretical data within the monitoring period, identifies the validity of the collected data, and then obtains the effective monitoring period of each monitoring point, which can avoid the power quality results not being close to the actual level due to data loss. At the same time, the present invention adopts a subjective and objective comprehensive weighting method to weight each data indicator, which not only reflects the importance of expert opinions to the power quality analysis results, but also highlights the overall differences between the data indicator objects, avoiding the use of a single weighting method to make the power quality indicator weight too subjective or too objective. Using the method of the present invention, the power quality of different monitoring points can be obtained and the power quality level can be further divided. For each monitoring point at the same power quality level, the power quality and power quality influencing factors can be further evaluated, making the analysis results more refined, and providing data reference for power line construction and maintenance, with high applicability and promotion.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
图1所示为本发明方法的流程示意图;FIG1 is a schematic flow diagram of the method of the present invention;
图2所示为本发明方法的一种具体实施例流程示意图;FIG2 is a schematic flow chart of a specific embodiment of the method of the present invention;
图3所示为本发明方法中对数据进行有效性判别的流程示意图;FIG3 is a schematic diagram showing a flow chart of determining the validity of data in the method of the present invention;
图4所示为本发明方法中采用序关系法确定主观权重的流程示意图;FIG4 is a schematic diagram showing a flow chart of determining subjective weights using the sequence relationship method in the method of the present invention;
图5所示为本发明方法中采用拉开档次法确定客观权重的流程示意图;FIG5 is a schematic diagram showing a flow chart of determining objective weights using the grade separation method in the method of the present invention;
图6所示为本发明方法中综合权重确定方法示意图;FIG6 is a schematic diagram of a method for determining a comprehensive weight in the method of the present invention;
图7所示为本发明方法中由各类指标数据及权重计算监测点综合质量示意图;FIG7 is a schematic diagram showing the calculation of the comprehensive quality of monitoring points by various indicator data and weights in the method of the present invention;
图8所示为一种应用例中采用本发明方法分析得到的多个监测点的电能质量结果示意图。FIG8 is a schematic diagram showing power quality results of multiple monitoring points obtained by analyzing the method of the present invention in an application example.
具体实施方式DETAILED DESCRIPTION
以下结合附图和具体实施例进一步描述。The invention is further described below with reference to the accompanying drawings and specific embodiments.
参考图1,本发明的变电站电能质量分析方法,包括:Referring to FIG1 , the power quality analysis method of a substation of the present invention comprises:
按照预设的电能质量指标体系,获取监测点处至少一个监测周期内的变电站电能质量数据;According to the preset power quality index system, obtain the power quality data of the substation within at least one monitoring cycle at the monitoring point;
根据获取到的各监测周期内各类数据的数量,对各监测周期的变电站电能质量数据进行有效性判别,得到监测点的有效监测周期;According to the quantity of each type of data obtained in each monitoring period, the validity of the substation power quality data in each monitoring period is judged to obtain the effective monitoring period of the monitoring point;
计算监测点有效监测周期内各类数据的平均值;Calculate the average value of various data within the effective monitoring period of the monitoring point;
根据各类数据的平均值以及数据的质量特性,计算各类数据的单指标质量;Calculate the single indicator quality of each type of data based on the average value of each type of data and the quality characteristics of the data;
根据各类数据的平均值计算各类数据的客观权重;Calculate the objective weight of each type of data based on the average value of each type of data;
获取各类数据的重要程度信息,根据所述重要程度信息计算各类数据的主观权重;Obtaining importance information of various types of data, and calculating subjective weights of various types of data based on the importance information;
根据各类数据的主观权重、客观权重以及单指标质量,计算监测点的综合电能质量。The comprehensive power quality of the monitoring point is calculated based on the subjective weight, objective weight and single indicator quality of various types of data.
在应用时,可在同一电压等级的不同线路侧设置监测点,并通过以上方案计算得到各个监测点的综合电能质量参考值,方便针对综合电能质量水平相当的监测点进行进一步的电能质量影响因素分析,为电能质量改善提供依据。When applied, monitoring points can be set up on different line sides of the same voltage level, and the comprehensive power quality reference value of each monitoring point can be calculated through the above scheme, which is convenient for further analysis of power quality influencing factors for monitoring points with equivalent comprehensive power quality levels, providing a basis for improving power quality.
实施例Example
本实施例以10kV的电网为例进行说明。参考图2所示,本实施例具体涉及以下步骤。This embodiment is described by taking a 10 kV power grid as an example. Referring to FIG2 , this embodiment specifically involves the following steps.
一、确定电能质量指标体系及指标数据获取1. Determine the power quality index system and obtain index data
根据国家相关标准及经验,本实施例选用电压偏差、电压总谐波、三相不平衡度、长时电压闪变和功率因数构成电能质量指标体系。According to relevant national standards and experience, this embodiment selects voltage deviation, voltage total harmonics, three-phase unbalance, long-term voltage flicker and power factor to form a power quality index system.
对于不同的电压等级或线路,可根据实际情况调整构成电能质量指标体系的指标类型。For different voltage levels or lines, the types of indicators that constitute the power quality indicator system can be adjusted according to actual conditions.
二、指标数据的有效性判别2. Determination of the validity of indicator data
电能质量指标数据可通过电能质量监测装置在监测点获取,本实施例选取7个监测点进行说明,参考图3,首先确定监测周期及监测周期内各类数据的采样时间间隔,本实施例中,每个监测点监测周期为一周,每间隔15分钟收集一次数据,则在监测周期内各指标收集的标准数据个数N为:The power quality index data can be obtained at the monitoring point through the power quality monitoring device. In this embodiment, 7 monitoring points are selected for illustration. Referring to FIG3 , the monitoring period and the sampling time interval of various data in the monitoring period are first determined. In this embodiment, the monitoring period of each monitoring point is one week, and data is collected every 15 minutes. Then, the number of standard data N collected for each indicator in the monitoring period is:
7个监测点各指标实际收到的数据个数如下表1所示:The actual number of data received for each indicator at the 7 monitoring points is shown in Table 1:
表1Table 1
由公式(1)可计算得到监测周期内各指标收集的标准数据个数为672个,根据数据完整度阈值公式:则数据完整度阈值即M=336。From formula (1), it can be calculated that the number of standard data collected for each indicator during the monitoring period is 672. According to the data integrity threshold formula: Then the data integrity threshold is M=336.
根据数据完整度阈值,对各监测点各监测周期的数据进行有效性判别,如图3中所示,对于各监测周期内的各类数据,分别判断数据个数是否超过所述数据完整度阈值336,若超过则相应类数据为有效数据;对于各监测周期,若其每一类数据皆为有效数据,则监测周期为有效监测周期,否则为无效监测周期。According to the data integrity threshold, the validity of the data of each monitoring point and each monitoring period is judged. As shown in Figure 3, for each type of data in each monitoring period, it is judged whether the number of data exceeds the data integrity threshold 336. If it exceeds, the corresponding type of data is valid data; for each monitoring period, if each type of data is valid data, the monitoring period is a valid monitoring period, otherwise it is an invalid monitoring period.
对于任意监测点所获取的监测周期为无效监测周期的情形,需要重新获取新的监测周期数据,并进行有效性判别,直至得到各个监测点的有效监测周期,如下表2所示。In the case where the monitoring cycle obtained at any monitoring point is an invalid monitoring cycle, it is necessary to re-acquire new monitoring cycle data and perform validity determination until a valid monitoring cycle for each monitoring point is obtained, as shown in Table 2 below.
表2 7个监测点在有效监测周期内收集到的数据个数Table 2 Number of data collected by 7 monitoring points during the effective monitoring period
三、计算各监测点有效监测周期内各指标数据的单指标质量3. Calculate the single indicator quality of each indicator data within the effective monitoring period of each monitoring point
首先,对于各监测点,根据指标数据平均值计算公式计算各类指标数据的平均值:First, for each monitoring point, the average value of each indicator data is calculated according to the indicator data average value calculation formula:
式(2)中,表示第j类指标数据的平均值,Nj为有效监测周期内第j类指标数据实际收集的数据个数,表示第j类指标数据的第g个数据值。In formula (2), represents the average value of the j-th indicator data, Nj is the number of data actually collected for the j-th indicator data within the effective monitoring period, Represents the g-th data value of the j-th category indicator data.
至此可得到7个监测点各类指标数据的平均值,如下表3所示:So far, the average values of various indicator data of the 7 monitoring points can be obtained, as shown in Table 3 below:
表3Table 3
根据各类指标数据的电能质量特性,数据指标类型可分为3类:极大性型指标、极小型指标、区间指标:极大型指标是指指标值越大,指标越好;极小型指标是指指标值越小,指标越好;区间型指标是指指标值在某一区间时指标最好。According to the power quality characteristics of various indicator data, data indicator types can be divided into three categories: maximum indicator, minimum indicator, and interval indicator: Maximum indicator means that the larger the indicator value, the better the indicator; minimum indicator means that the smaller the indicator value, the better the indicator; interval indicator means that the indicator value is within a certain interval and the indicator is best.
正常情况下,电网电能质量指标应满足国标限值或者用户自定义标准阈值,此时表示指标合格。为了量化电能质量指标,本发明建立电能质量单指标质量函数,直观反映各指标数据好坏程度。Under normal circumstances, the power quality index of the power grid should meet the national standard limit or the user-defined standard threshold, which means that the index is qualified. In order to quantify the power quality index, the present invention establishes a single index quality function of power quality to intuitively reflect the quality of each index data.
极大型和极小型指标质量评分函数计算公式如式(3):The calculation formula of the quality scoring function of the extremely large and extremely small indicators is as follows:
式中,Kj、kj分别表示第j类极大型或者极小型指标数据的理想值及阈值,60分表示合格分数,40表示基准变化分数。Where Kj and kj represent the ideal value and threshold of the jth type of extremely large or extremely small indicator data, 60 points represent the passing score, and 40 represents the benchmark change score.
区间型指标评分函数计算公式如式(4):The calculation formula of interval index scoring function is as follows:
式中,qj、Qj分别表示第j类区间型指标数据的理想区间左右边界,fj、Fj分别表示第j类区间型指标数据的阈值左右边界。Where q j and Q j represent the left and right boundaries of the ideal interval of the j-th interval indicator data, and f j and F j represent the left and right boundaries of the threshold of the j-th interval indicator data.
电压偏差是区间型指标,针对10kV的电网,根据国家标准及用户要求电压偏差阈值为+7%~-10%,理想区间为0%-2%,所以上述(4)中,qi=0,Qi=2%,fi=-10%,Fi=7%。Voltage deviation is an interval indicator. For a 10 kV power grid, according to national standards and user requirements, the voltage deviation threshold is +7% to -10%, and the ideal interval is 0%-2%. Therefore, in (4) above, qi = 0, Qi = 2%, fi = -10%, and Fi = 7%.
电压总谐波率是极小型指标,根据国家标准及用户要求电压偏差阈值为4%,理想值为0%,,所以上述式(3)中Kj=0%、kj=4%。The voltage total harmonic rate is an extremely small index. According to national standards and user requirements, the voltage deviation threshold is 4%, and the ideal value is 0%. Therefore, in the above formula (3), K j = 0%, k j = 4%.
三相不平衡度是极小型指标,根据国家标准及用户要求电压偏差阈值为4%,理想值为0%,,所以上述式(3)中Kj=0%、kj=4%。The three-phase unbalance is an extremely small index. According to national standards and user requirements, the voltage deviation threshold is 4%, and the ideal value is 0%. Therefore, in the above formula (3), K j = 0%, k j = 4%.
长时间电压闪变是极小型指标,根据国家标准及用户要求电压偏差阈值为1,理想值为0,所以上述式(3)中Kj=0、kj=1。Long-term voltage flicker is an extremely small indicator. According to national standards and user requirements, the voltage deviation threshold is 1, and the ideal value is 0. Therefore, in the above formula (3), K j = 0, k j = 1.
功率因数是极大型指标,根据国家标准及用户要求电压偏差阈值为0.80,理想值为1,所以上述式(3)中Kj=1、kj=0.8。The power factor is a very large index. According to national standards and user requirements, the voltage deviation threshold is 0.80, and the ideal value is 1. Therefore, in the above formula (3), K j = 1, k j = 0.8.
则7个监测点处各类指标数据的单指标质量分值如下表4:The single indicator quality scores of various indicator data at the 7 monitoring points are as follows in Table 4:
表4Table 4
四、根据各类数据的平均值计算各类数据的客观权重4. Calculate the objective weight of each type of data based on the average value of each type of data
本实施例采用拉开档次法确定各类指标数据的客观权重,包括如下步骤:This embodiment adopts the method of spreading out the grades to determine the objective weights of various indicator data, including the following steps:
(4.1)对多个监测点的有效监测周期内的各类数据的平均值进行标准化处理,得到由多个监测点的有效监测周期内多类数据的标准化数据组成的标准化矩阵A1,其中,标准化公式为:(4.1) The average values of various types of data within the effective monitoring period of multiple monitoring points are standardized to obtain a standardized matrix A 1 composed of standardized data of multiple types of data within the effective monitoring period of multiple monitoring points, wherein the standardized formula is:
式(5)中,表示第j个监测点的有效监测周期内第i类数据的平均值,表示的标准化结果,m为监测点数量,n为所考虑的变电站电能质量数据的种类数量,则标准化矩阵A1表示为:In formula (5), It represents the average value of the i-th type of data in the effective monitoring period of the j-th monitoring point, express The standardized result of , m is the number of monitoring points, n is the number of types of substation power quality data considered, then the standardized matrix A1 is expressed as:
根据上述公式,本实施例中利用7个监测点5类指标数据的平均值构建电能质量综合评估矩阵如下:According to the above formula, in this embodiment, the average value of 5 types of indicator data at 7 monitoring points is used to construct a comprehensive power quality evaluation matrix as follows:
对A中各指标数据进行预处理后得到标准化矩阵A1,表示为:After preprocessing the index data in A, the standardized matrix A 1 is obtained, which is expressed as:
(4.2)求正定矩阵H=A1 TA1的最大特征值所对应的特征向量,并进行归一化处理,得到多类指标数据的客观权重向量w'={w1',w2',…wn'},在本实施例中可计算得到:w'={0.213,0.179,0.222,0.197,0.189},将其中的w1',w2',…wn'分别作为5类指标数据的客观权重,5类指标数据的客观权重依次为电压偏差0.213,电压总谐波率0.179,三相不平衡度0.222,长时电压闪变0.197,功率因数0.189。(4.2) The eigenvector corresponding to the maximum eigenvalue of the positive definite matrix H = A 1 T A 1 is calculated and normalized to obtain the objective weight vector w' = {w 1 ', w 2 ', ... w n '} of the multiple categories of index data. In this embodiment, it can be calculated that: w' = {0.213, 0.179, 0.222, 0.197, 0.189}, where w 1 ', w 2 ', ... w n ' are respectively used as the objective weights of the five categories of index data. The objective weights of the five categories of index data are voltage deviation 0.213, voltage total harmonic rate 0.179, three-phase unbalance 0.222, long-term voltage flicker 0.197, and power factor 0.189.
本实施例采用的拉开档次法弱化了电压总谐波率和功率因数的权重,强化了长时电压闪变权重,强调客观事实,可使电能质量分析结果更贴近真实水平。The grading method adopted in this embodiment weakens the weight of the total harmonic rate of voltage and the power factor, strengthens the weight of long-term voltage flicker, emphasizes objective facts, and can make the power quality analysis results closer to the actual level.
五、计算各类指标数据的主观权重5. Calculation of subjective weights of various indicator data
本实施例采用序关系法确定各类指标数据的主观权重,具体步骤如下。This embodiment adopts the order relationship method to determine the subjective weights of various indicator data, and the specific steps are as follows.
(5.1)根据专家或者决策者意见确定指标序关系式:(5.1) Determine the index sequence relationship based on the opinions of experts or decision makers:
本实施例中,5类指标数据的序关系为:In this embodiment, the order relationship of the five types of indicator data is:
(5.2)确定序关系中相邻指标数据间的相对重要性程度Rk。(5.2) Determine the relative importance R k between adjacent indicator data in the order relationship.
相邻指标间的相对重要性程度Rk的理性判断值,可参照如下表5确定:The rational judgment value of the relative importance degree R k between adjacent indicators can be determined by referring to the following Table 5:
表5Table 5
由此可进一步确定5个指标的相对重要程度为:指标比指标明显重要,则R2=1.4,指标与指标一样重要,则R3=1,指标比指标稍微重要,则R4=1.2,指标比指标稍微重要,则R5=1.2From this, the relative importance of the five indicators can be further determined as follows: Index ratio The indicator is obviously important, then R2=1.4, Indicators and The indicators are equally important, then R3=1, Index ratio The indicator is slightly important, then R4=1.2, Index ratio The indicator is slightly important, then R5=1.2
(5.3)根据相对重要性程度计算主观权重(5.3) Calculate subjective weights based on relative importance
用wk表示对应的指标数据类型的主观权重,专家评价指标与的重要程度之比Rk的理性判断式为:Expressed in w k Corresponding subjective weights of indicator data types, expert evaluation indicators and The rational judgment formula of the importance ratio R k is:
因此可以首先确定即本实施例中专家意见认为最不重要的指标数据类型的主观权重w5,为:Therefore, we can first determine That is, the subjective weight w 5 of the indicator data type that experts consider to be the least important in this embodiment is:
根据式(8)的变形式wk-1=Rkwk,可进一步计算得到其它类指标数据的主观权重分别为:w4=0.141×1.2=0.169,w3=0.169×1.2=0.203,w2=0.203×1=0.203,w1=0.203×1.4=0.284。According to the variant form of formula (8) w k-1 =R k w k , the subjective weights of other types of indicator data can be further calculated as: w 4 =0.141×1.2=0.169, w 3 =0.169×1.2=0.203, w 2 =0.203×1=0.203, w 1 =0.203×1.4=0.284.
至此可得到5类指标数据的主观权重依次为:电压偏差0.284,电压总谐波率0.203,三相不平衡度0.169,长时电压闪变0.141,功率因数0.203。So far, the subjective weights of the five types of indicator data are: voltage deviation 0.284, voltage total harmonic rate 0.203, three-phase unbalance 0.169, long-term voltage flicker 0.141, and power factor 0.203.
六、根据主观权重和客观权重计算各类指标数据的综合权重6. Calculate the comprehensive weight of various indicator data based on subjective weight and objective weight
本实施例采用主客观综合赋权方法为各数据指标赋权,避免采用单一赋权法使电能质量指标权重过于主观或过于客观。This embodiment adopts a subjective and objective comprehensive weighting method to weight each data indicator, avoiding the use of a single weighting method that makes the weight of the power quality indicator too subjective or too objective.
第i类指标数据的综合权重的计算公式为:The calculation formula for the comprehensive weight of the i-th category indicator data is:
Wi=αwi+βwi′ (10) Wi = αwi + βwi ′ (10)
式(10)中,α为指标主观权重系数,β为指标客观权重系数,两系数的值可根据需要调整。在本实施例中将两者均设定为0.5,则根据式(10)计算得到的5类指标数据的主观权重、客观权重及综合权重如下表6所示:In formula (10), α is the subjective weight coefficient of the indicator, and β is the objective weight coefficient of the indicator. The values of the two coefficients can be adjusted as needed. In this embodiment, both are set to 0.5. The subjective weight, objective weight and comprehensive weight of the five types of indicator data calculated according to formula (10) are shown in Table 6 below:
表6Table 6
七、计算各监测点的综合电能质量7. Calculate the comprehensive power quality of each monitoring point
根据上述第三部分计算得到表3所示的单指标质量以及第六部分计算得到的表6所示的综合权重,本发明可计算得到各监测点的综合电能质量,公式为:According to the single index quality shown in Table 3 calculated in the third part and the comprehensive weight shown in Table 6 calculated in the sixth part, the present invention can calculate the comprehensive power quality of each monitoring point, and the formula is:
式中,Pi表示第i个监测点的综合电能质量,表示第i个监测点的有效监测周期中第j类数据的单指标质量,n为数据种类数量,在本实施例中即为5,根据式(11),7个监测点的综合电能质量结果参考图8。Where Pi represents the comprehensive power quality of the ith monitoring point, It represents the single indicator quality of the jth type of data in the effective monitoring period of the ith monitoring point, n is the number of data types, which is 5 in this embodiment. According to formula (11), the comprehensive power quality results of the 7 monitoring points refer to Figure 8.
八、评估各监测点的电能质量等级8. Evaluate the power quality level of each monitoring point
在第七部分计算得到各监测点的综合电能质量后,本实施例还可根据综合电能质量结果进行进一步的分析,如通过分析综合电能质量分值相近的监测点数据,推断电能质量影响因素等。本实施例还根据综合电能质量结果对各监测点进行电能质量等级评估。After the comprehensive power quality of each monitoring point is calculated in the seventh part, the present embodiment can further analyze the comprehensive power quality results, such as analyzing the data of monitoring points with similar comprehensive power quality scores to infer the factors affecting the power quality. The present embodiment also evaluates the power quality level of each monitoring point based on the comprehensive power quality results.
在等级评估时,电能质量等级划分为优秀、良好、中等、较差和极差5个等级。Pi≥90表示电能质量为优秀等级,80≤Pi<90表示电能质量为良好等级,70≤Pi<80表示电能质量为中等级别,60≤Pi<70表示电能质量为较差级别,Pi<60表示电能质量极差。In the grade assessment, the power quality grade is divided into 5 grades: excellent, good, medium, poor and extremely poor. Pi ≥ 90 indicates that the power quality is excellent, 80 ≤ Pi < 90 indicates that the power quality is good, 70 ≤ Pi < 80 indicates that the power quality is medium, 60 ≤ Pi < 70 indicates that the power quality is poor, and Pi < 60 indicates that the power quality is extremely poor.
在图8中,第6个监测点电能质量总评估分数为92.97分,为优秀级别,监测点2、5的评估分分别为81.26、84.23,为良好级别,监测点3、7为中等级别,监测点4为较差级别,监测点1为极差级别。In Figure 8, the total power quality assessment score of the 6th monitoring point is 92.97 points, which is an excellent level. The assessment scores of monitoring points 2 and 5 are 81.26 and 84.23 respectively, which are good levels. Monitoring points 3 and 7 are medium levels, monitoring point 4 is a poor level, and monitoring point 1 is a very poor level.
在同一级别中,监测点2的评估分比监测点5高,监测点7的评估分比监测点3的评分高,说明同一级别比较,监测点2、监测点7的电能质量水平更好,可由此进一步分析该两个监测点之间影响电能质量差异的因素,实现电能质量分析的进一步细化,为线路维护提供数据基础,保障线路安全稳定运行。At the same level, the evaluation score of monitoring point 2 is higher than that of monitoring point 5, and the evaluation score of monitoring point 7 is higher than that of monitoring point 3, which means that at the same level, the power quality levels of monitoring points 2 and 7 are better. This can be used to further analyze the factors affecting the power quality difference between the two monitoring points, further refine the power quality analysis, provide a data basis for line maintenance, and ensure safe and stable operation of the line.
本领域内的技术人员应明白,本申请的实施例可提供为方法、系统、或计算机程序产品。因此,本申请可采用完全硬件实施例、完全软件实施例、或结合软件和硬件方面的实施例的形式。而且,本申请可采用在一个或多个其中包含有计算机可用程序代码的计算机可用存储介质(包括但不限于磁盘存储器、CD-ROM、光学存储器等)上实施的计算机程序产品的形式。Those skilled in the art will appreciate that the embodiments of the present application may be provided as methods, systems, or computer program products. Therefore, the present application may adopt the form of a complete hardware embodiment, a complete software embodiment, or an embodiment in combination with software and hardware. Moreover, the present application may adopt the form of a computer program product implemented in one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) that contain computer-usable program code.
本申请是参照根据本申请实施例的方法、设备(系统)、和计算机程序产品的流程图和/或方框图来描述的。应理解可由计算机程序指令实现流程图和/或方框图中的每一流程和/或方框、以及流程图和/或方框图中的流程和/或方框的结合。可提供这些计算机程序指令到通用计算机、专用计算机、嵌入式处理机或其他可编程数据处理设备的处理器以产生一个机器,使得通过计算机或其他可编程数据处理设备的处理器执行的指令产生用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的装置。The present application is described with reference to the flowchart and/or block diagram of the method, device (system) and computer program product according to the embodiment of the present application. It should be understood that each process and/or box in the flowchart and/or block diagram, and the combination of the process and/or box in the flowchart and/or block diagram can be realized by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor or other programmable data processing device to produce a machine, so that the instructions executed by the processor of the computer or other programmable data processing device produce a device for realizing the function specified in one process or multiple processes in the flowchart and/or one box or multiple boxes in the block diagram.
这些计算机程序指令也可存储在能引导计算机或其他可编程数据处理设备以特定方式工作的计算机可读存储器中,使得存储在该计算机可读存储器中的指令产生包括指令装置的制造品,该指令装置实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能。These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing device to work in a specific manner, so that the instructions stored in the computer-readable memory produce a manufactured product including an instruction device that implements the functions specified in one or more processes in the flowchart and/or one or more boxes in the block diagram.
这些计算机程序指令也可装载到计算机或其他可编程数据处理设备上,使得在计算机或其他可编程设备上执行一系列操作步骤以产生计算机实现的处理,从而在计算机或其他可编程设备上执行的指令提供用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的步骤。These computer program instructions may also be loaded onto a computer or other programmable data processing device so that a series of operational steps are executed on the computer or other programmable device to produce a computer-implemented process, whereby the instructions executed on the computer or other programmable device provide steps for implementing the functions specified in one or more processes in the flowchart and/or one or more boxes in the block diagram.
以上结合附图对本发明的实施例进行了描述,但是本发明并不局限于上述的具体实施方式,上述的具体实施方式仅仅是示意性的,而不是限制性的,本领域的普通技术人员在本发明的启示下,在不脱离本发明宗旨和权利要求所保护的范围情况下,还可做出很多形式,这些均属于本发明的保护之内。The embodiments of the present invention are described above in conjunction with the accompanying drawings, but the present invention is not limited to the above-mentioned specific implementation methods. The above-mentioned specific implementation methods are merely illustrative and not restrictive. Under the enlightenment of the present invention, ordinary technicians in this field can also make many forms without departing from the scope of protection of the purpose of the present invention and the claims, which all fall within the protection of the present invention.
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