CN109239463A - Dielectric loss measurement method based on linear correction algorithm - Google Patents

Dielectric loss measurement method based on linear correction algorithm Download PDF

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CN109239463A
CN109239463A CN201811014756.6A CN201811014756A CN109239463A CN 109239463 A CN109239463 A CN 109239463A CN 201811014756 A CN201811014756 A CN 201811014756A CN 109239463 A CN109239463 A CN 109239463A
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CN109239463B (en
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傅中君
王建宇
欧云
陈鉴富
侯雪亚
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Jiangsu University of Technology
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Abstract

本发明涉及一种基于线性修正算法的介质损耗测量方法，该方法在准同步DFT基础上改进实现，包括如下步骤：同时采样被试件上施加的电压信号V和流过的电流信号I；应用准同步DFT谐相角线性修正方法获取施加电压的基波相角应用准同步DFT谐相角线性修正方法获取被试件中流过的电流信号基波初相角根据公式计算介质损耗角正切。本发明的介质损耗测量方法，适于有效改进准同步DFT谐波分析技术的分析误差，获得高精度的谐相角分析结果，从而提高介质损耗测量的可靠性。The invention relates to a method for measuring dielectric loss based on a linear correction algorithm. The method is improved and realized on the basis of quasi-synchronous DFT, and includes the following steps: simultaneously sampling the voltage signal V applied on the test piece and the current signal I flowing through; applying Quasi-synchronous DFT harmonic phase angle linear correction method to obtain fundamental phase angle of applied voltage Obtaining the initial phase angle of the fundamental wave of the current signal flowing through the test piece by applying the quasi-synchronous DFT harmonic phase angle linear correction method According to the formula Calculates the dielectric loss tangent. The dielectric loss measurement method of the invention is suitable for effectively improving the analysis error of the quasi-synchronous DFT harmonic analysis technology, obtaining high-precision harmonic phase angle analysis results, thereby improving the reliability of the dielectric loss measurement.

Description

A kind of dielectric loss measurement method based on linear correction algorithm
The application be application No. is: 201510258036.4, invention and created name be " a kind of dielectric loss measurement method ", The applying date are as follows: the divisional application of application for a patent for invention on May 19th, 2015.
Technical field
The present invention relates to a kind of high-precision dielectric loss measurement methods.
Background technique
Intelligent medium loss measurent instrument is the self-reacting device of measuring medium loss angle tangent and capacitance, can be in work Under frequency high voltage, the high pressures such as the various insulating materials of in-site measurement, insulating sleeve, power cable, capacitor, mutual inductor, transformer The dielectric loss angle tangent and capacitance of equipment.The instrument be also applied for workshop, laboratory, R&D institution measurement High-Voltage Electrical Appliances set Standby dielectric loss angle tangent and capacitance；Being equipped with insulation lubricating cup can measure insulation oil loss.
The working principle of intelligent medium loss measurent instrument: the voltage when applying alternating voltage on dielectric, in dielectric At in phase angle difference between electric currentComplementary angle δ be known as dielectric loss angle, the tangent tg δ of δ is known as dielectric loss angle tangent.tgδ Value is the parameter for measuring dielectric loss.The measurement route of the instrument is including standard loop (Cn) all the way and is tested back all the way Road (Cx).Standard loop is made of built-in high stability standard capacitor and measurement route, is tested circuit by test item and measurement Route.Measurement route is made of sample resistance and preamplifier and A/D converter, before being connected in parallel on sample resistance both ends It sets amplifier input resistance and is far longer than sample resistance, it can thus be assumed that loop current all flows through sample resistance.Pass through measurement Current signal is converted to digital signal by route, then is measured standard respectively with digitlization real-time collecting method by single-chip microcontroller and returned Road electric current and subject loop current amplitude and its phase difference can show that the capacitance of test product and medium are damaged by vector calculus Consumption.
Frequency analysis technology is answered in various fields such as electric energy quality monitoring, electronic product production testing, electric appliances monitorings It is the important technical for carrying out power system monitor, quality inspection, monitoring of tools with extensive.Frequency analysis is most widely used at present Technology be discrete Fourier transform (DFT) and Fast Fourier Transform (FFT) (FFT).Quasi-synchronous sampling technique is mutually tied with DFT technique The frequency analysis technology of conjunction can be improved the precision of frequency analysis, formula are as follows:
In formula: k is the number (such as fundamental wave k=1,3 subharmonic k=3) for needing the harmonic wave obtained；Sin and cos are positive respectively String and cosine function；And akAnd bkThe respectively real and imaginary parts of k subharmonic；N is the number of iterations；W is determined by integration method, is adopted When with muiltiple-trapezoid integration method, W=nN；γiFor a weighting coefficient；For the sum of all weighting coefficients；f(i) For the ith sample value of analysis waveform；N is sampling number in the period.
In engineer application, frequency analysis always carry out the sampling of finite point be difficult to stricti jurise synchronize adopt Sample.In this way, when the plesiochronous DFT of application carries out frequency analysis, will exist the leakage of the long range as caused by truncation effect and The short range leakage as caused by fence effect, so that analysis result precision is not high or even insincere.
Summary of the invention
The technical problem to be solved in the present invention is to provide a kind of high-precision dielectric loss surveys based on linear correction algorithm Amount method, to be efficiently modified the analytical error of plesiochronous DFT frequency analysis technology, obtain high-precision frequency analysis as a result, from And improve the reliability of dielectric loss measurement.
Realize that the technical solution of the object of the invention is to provide a kind of dielectric loss measurement method based on linear correction algorithm, It comprises the following steps:
(1) the W+2 sample point data for the voltage signal V and current signal I that synchronized sampling is applied on test specimen at equal intervals: {fV(i),fI(i), i=0,1 ..., W+1 }；
(2) plesiochronous DFT formula is applied since the sampled point i=0 of the voltage signal V:
W+1 data of analysis obtain the base of the voltage signal V Wave informationWith
Plesiochronous DFT formula is applied from the sampled point i=1 of the voltage signal V:
W+1 data of analysis obtain the base of the voltage signal V Wave informationWith
Using formula:Calculate the frequency drift μ of the voltage signal VV；
Using formulaCalculate the fundamental wave initial phase angle of the voltage signal V；
Using formulaLinearly correct the fundamental wave initial phase angle of the voltage signal V.
(3) plesiochronous DFT formula is applied since the sampled point i=0 of the current signal I:
W+1 data of analysis obtain the base of the current signal I Wave informationWith
Plesiochronous DFT formula is applied from the sampled point i=1 of the current signal I:
W+1 data of analysis obtain the base of the current signal I Wave informationWith
Using formula:Calculate the frequency drift μ of the current signal II；
Using formulaCalculate the fundamental wave initial phase angle of the current signal I；
Using formulaLinearly correct the fundamental wave initial phase angle of the current signal I.
(4) according to formulaCalculation medium loss angle tangent.
The main reason for plesiochronous DFT frequency analysis can effectively inhibit long range and leak, spectrum leakage is signal Short range leakage caused by frequency drift, the present invention, which discloses one kind, can effectively inhibit the humorous phase angle of short range leakage linearly to correct Method, to obtain high-precision humorous phase angle information and dielectric dissipation factor.
N is the sampling number in an ideal period.The equal interval sampling is according to the ideal for carrying out frequency analysis The cycle T and frequency f (such as power frequency component frequency f is 50Hz, period 20mS) of signal, sample N point in one cycle, that is, adopt Sample frequency is fs=Nf, and N >=64.
Described W+2 sample point data of sampling is accordingly selected according to selected integration method, according to multiple Change trapezoidal integration method, then W=nN；According to complexification rectangular integration method, then W=n (N-1)；According to iterative Simpson product Divide method, then W=n (N-1)/2；Then according to sample frequency fs=Nf obtains sample point data sequence；N is the number of iterations, one As n >=3.
An iteration coefficient gammaiIt is determined by integration method, ideal period sampled point N and the number of iterations n, specific derivation process Referring to document [wear some problem [J] the electrical measurement and instrument in the application of quasi-synchro sampling in elder generation, 1988, (2): 2-7.].
For the sum of all weighting coefficients.
The drift μ of signal frequencyVAnd μIIt is according to sampling number N in neighbouring sample point fundamental wave phase angle difference and ideal period Fixed relationship and obtain, the drift of signal frequency can also be used for amendment fundamental wave and higher hamonic wave frequency f1With higher hamonic wave Frequency fk。
The present invention has the effect of positive: (1) present invention has high-precision dielectric loss measurement result.
(2) method of the present invention fundamentally solves the problems, such as that the humorous phase angle analysis precision of plesiochronous DFT is low, and nothing Complicated inverting and amendment need to be carried out, algorithm is simple.
(3) relative to plesiochronous DFT, frequency analysis technology of the present invention only needs to increase a sampled point and just solves Plesiochronous DFT analytical error big problem, it is easy to accomplish.
(4) existing instrument and equipment is improved using the present invention, be technically feasible, and do not need to increase any hard Part expense can be such that analysis result can be improved to 10-8Grade.
(5) this method is similarly also applied for carrying out successive ignition rather than the frequency analysis process of an iteration, at this time only Needing an iteration to resolve into successive ignition realization can.As an iteration with successive ignition is substantially, only It is that when calculating, successive ignition carries out decoupled method, and an iteration is that the process of successive ignition is merged into iteration coefficient γi In once calculate complete, so the present disclosure applies equally to successive ignition processes.
Specific embodiment
(embodiment 1)
A kind of dielectric loss measurement method based on linear correction algorithm of the present embodiment, comprising the following steps:
(1) the W+2 sample point data for the voltage signal V and current signal I that synchronized sampling is applied on test specimen at equal intervals: {fV(i),fI(i), i=0,1 ..., W+1 }.W is accordingly selected according to selected integration method, according to the trapezoidal product of complexification Divide method, then W=nN；According to complexification rectangular integration method, then W=n (N-1)；According to iterative Simpson integration method, then W=n (N-1)/2；Then according to sample frequency fs=Nf obtains sample point data sequence；N is the number of iterations, general n >=3.
(2) plesiochronous DFT formula is applied since the sampled point i=0 of the voltage signal V:
W+1 data of analysis obtain the base of the voltage signal V Wave informationWithAn iteration coefficient gammaiIt is determined by integration method, ideal period sampled point N and the number of iterations n；For the sum of all weighting coefficients；
Plesiochronous DFT formula is applied from the sampled point i=1 of the voltage signal V:
W+1 data of analysis obtain the base of the voltage signal V Wave informationWith
Using formula:Calculate the frequency drift μ of the voltage signal VV；
Using formulaCalculate the fundamental wave initial phase angle of the voltage signal V；
Using formulaLinearly correct the fundamental wave initial phase angle of the voltage signal V.
(3) plesiochronous DFT formula is applied since the sampled point i=0 of the current signal I:
W+1 data of analysis obtain the base of the current signal I Wave informationWith
Plesiochronous DFT formula is applied from the sampled point i=1 of the current signal I:
W+1 data of analysis obtain the base of the current signal I Wave informationWith
Using formula:Calculate the frequency drift μ of the current signal II；
Using formulaCalculate the fundamental wave initial phase angle of the current signal I；
Using formulaLinearly correct the fundamental wave initial phase angle of the current signal I.
(4) according to formulaCalculation medium loss angle tangent.
Those skilled in the art it should be appreciated that more than embodiment be intended merely to illustrate the present invention, and It is not intended as limitation of the invention, the present invention can also be changing into more modes, as long as in connotation model of the invention In enclosing, variation, the modification of embodiment described above will all be fallen within the scope of claims of the present invention.

Claims (2)

1.一种基于线性修正算法的介质损耗测量方法，其特征在于包括以下步骤：1. a medium loss measurement method based on a linear correction algorithm, is characterized in that comprising the following steps: (1)等间隔同步采样被试件上施加的电压信号V和电流信号I的W+2个采样点数据：{fV(i),fI(i),i＝0,1,…,W+1}；所述的采样W+2个采样点数据是采用复化梯形积分方法，则W＝nN；(1) Simultaneously sample the data of W+2 sampling points of the voltage signal V and the current signal I applied to the test piece at equal intervals: {f V (i), f I (i), i=0,1,…, W+1}; The described sampling W+2 sampling point data adopts the complex trapezoidal integration method, then W=nN; (2)从所述电压信号V的采样点i＝0开始应用准同步DFT公式：(2) Apply the quasi-synchronous DFT formula from the sampling point i=0 of the voltage signal V: 分析W+1个数据获得所述电压信号V的基波信息和 Analyze W+1 data to obtain the fundamental wave information of the voltage signal V and 从所述电压信号V的采样点i＝1应用准同步DFT公式：Apply the quasi-synchronous DFT formula from the sampling point i=1 of the voltage signal V: 分析W+1个数据获得所述电压信号V的基波信息和 Analyze W+1 data to obtain the fundamental wave information of the voltage signal V and 应用公式：计算所述电压信号V的频率漂移μV；Apply the formula: Calculate the frequency drift μ V of the voltage signal V ; 应用公式计算所述电压信号V的基波初相角；Apply formula Calculate the initial phase angle of the fundamental wave of the voltage signal V; 应用公式线性修正所述电压信号V的基波初相角；Apply formula linearly correcting the initial phase angle of the fundamental wave of the voltage signal V; (3)从所述电流信号I的采样点i＝0开始应用准同步DFT公式：(3) Apply the quasi-synchronous DFT formula from the sampling point i=0 of the current signal I: 分析W+1个数据获得所述电流信号I的基波信息和 Analyze W+1 data to obtain the fundamental wave information of the current signal I and 从所述电流信号I的采样点i＝1应用准同步DFT公式：Apply the quasi-synchronous DFT formula from the sampling point i=1 of the current signal I: 分析W+1个数据获得所述电流信号I的基波信息和 Analyze W+1 data to obtain the fundamental wave information of the current signal I and 应用公式：计算所述电流信号I的频率漂移μI；Apply the formula: Calculate the frequency drift μ I of the current signal I ; 应用公式计算所述电流信号I的基波初相角；Apply formula Calculate the initial phase angle of the fundamental wave of the current signal I; 应用公式线性修正所述电流信号I的基波初相角；Apply formula Linearly correct the initial phase angle of the fundamental wave of the current signal I; (4)根据公式计算介质损耗角正切；(4) According to the formula Calculate the dielectric loss tangent; 式中：k为需要获得的谐波的次数；sin和cos分别为正弦和余弦函数；而ak和bk分别为k次谐波的实部和虚部；n为迭代次数；W由积分方法决定；γi为一次加权系数；为所有加权系数之和；f(i)为分析波形的第i个采样值；N为周期内采样次数；In the formula: k is the order of the harmonic to be obtained; sin and cos are the sine and cosine functions, respectively; a k and b k are the real and imaginary parts of the k-th harmonic, respectively; n is the number of iterations; W is calculated by the integral method; γ i is the first-order weighting coefficient; is the sum of all weighting coefficients; f(i) is the i-th sampling value of the analyzed waveform; N is the number of samples in the cycle; 所述的等间隔采样是根据进行谐波分析的理想信号的周期T和频率f，在一个周期内采样N点，即采样频率为fs＝Nf，且N≥64。The equal interval sampling is to sample N points in one cycle according to the period T and frequency f of the ideal signal for harmonic analysis, that is, the sampling frequency is f s =Nf, and N≧64. 2.根据权利要求1所述的一种基于线性修正算法的介质损耗测量方法，其特征在于：所述的采样W+2个采样点数据是根据所选择的积分方法而作相应选择，然后根据采样频率fs＝Nf，获得采样点数据序列；n为迭代次数，n≥3。2. A kind of dielectric loss measurement method based on linear correction algorithm according to claim 1, it is characterized in that: described sampling W+2 sampling point data is to make corresponding selection according to the integration method selected, and then according to Sampling frequency f s =Nf, to obtain sampling point data sequence; n is the number of iterations, n≥3.
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