CN105548693B - Obtain the method and system of zero initial phase reference sinusoidal function times frequency sequence - Google Patents

Obtain the method and system of zero initial phase reference sinusoidal function times frequency sequence Download PDF

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CN105548693B
CN105548693B CN201510891393.4A CN201510891393A CN105548693B CN 105548693 B CN105548693 B CN 105548693B CN 201510891393 A CN201510891393 A CN 201510891393A CN 105548693 B CN105548693 B CN 105548693B
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sequence
initial phase
positive
frequency
length
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CN105548693A (en
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陈世和
李军
万文军
史玲玲
胡康涛
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Electric Power Research Institute of Guangdong Power Grid Co Ltd
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Electric Power Research Institute of Guangdong Power Grid Co Ltd
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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R23/00—Arrangements for measuring frequencies; Arrangements for analysing frequency spectra
    • G01R23/02—Arrangements for measuring frequency, e.g. pulse repetition rate; Arrangements for measuring period of current or voltage

Abstract

The present invention relates to a kind of method and systems for obtaining zero initial phase reference sinusoidal function times frequency sequence, pass through sequence of operations, obtain cosine function modulation sequence and SIN function modulation sequence, it is exported from the cosine function modulation sequence central point, obtain zero initial phase benchmark cosine function modulation sequence, it is exported from the SIN function modulation sequence central point, obtain zero initial phase reference sinusoidal FUNCTION MODULATION sequence, then zero initial phase reference sinusoidal function times frequency sequence is obtained according to the zero initial phase benchmark cosine function modulation sequence and the zero initial phase reference sinusoidal FUNCTION MODULATION sequence.The zero initial phase reference sinusoidal function times frequency sequence that the present invention is obtained is used for the measurement of frequency power signal, is remarkably improved the accuracy of frequency power signal measurement.

Description

Obtain the method and system of zero initial phase reference sinusoidal function times frequency sequence
Technical field
The present invention relates to technical field of power systems, more particularly to a kind of zero initial phase reference sinusoidal function frequency multiplication of acquisition The method and system of sequence.
Background technology
Frequency measurement, phase measurement, amplitude measurement of electric system etc. are the measurement of sine parameter in itself.Fu Li Leaf transformation is the basic skills for realizing sine parameter measurement, is widely used in electric system.But as sine parameter is surveyed The development of amount technology, Fourier transformation there are the problem of also more aobvious protrusion, be difficult to further to meet electric system and sine joined The requirement that number high accuracy calculates.
In terms of electric system sine parameter measurement, there are some improved measurement method of parameters, such as zero hands over method, based on filter The mensuration of ripple, the mensuration based on Wavelet Transform, based on neutral net, based on DFT (Discrete Fourier Transform, discrete Fourier transform) conversion mensuration etc..Since the specified power frequency of operation of power networks is near 50Hz (hertz), Belong to the relatively low sinusoidal frequency of frequency, and there is interference in actual electric power signal, such as harmonic wave interference, electric load are small In the range of the similar white noise acoustic jamming etc. that generates of random fluctuation, under interference environment, the measurement of these algorithm generally existings is accurate The problem of degree is not high.
The content of the invention
Based on this, it is necessary in view of the above-mentioned problems, providing a kind of zero initial phase reference sinusoidal function times frequency sequence of acquisition Method and system can improve the accuracy of frequency power signal measurement.
In order to solve the above technical problems, the present invention adopts the following technical scheme that：
A kind of method for obtaining zero initial phase reference sinusoidal function times frequency sequence, including step：
According to the lower limit of frequency power signal scope, preset sample frequency and default integer signal period number, obtain preliminary Sequence length；
Electric power signal is sampled according to the preliminary sequence length, obtains the preliminary sequence of the electric power signal；
To the preliminary sequence into line frequency preliminary survey, the preliminary frequency of the electric power signal is obtained, according to the just cadence Rate obtains reference frequency；
According to the preset sample frequency and the reference frequency, the unit period sequence for obtaining the electric power signal is long Degree；
The default integer signal period number with the unit period sequence length is multiplied, it is long to obtain preprocessing sequence Degree；
According to the preprocessing sequence length, preprocessing sequence is obtained from the preliminary sequence of the electric power signal；
Comb filtering processing is carried out to the preprocessing sequence, obtains comb filtering sequence, wherein comb filtering sequence is long It spends and is carrying out comb filtering treated residue length for the preprocessing sequence；
The ratio integer of the comb filtering sequence length and the unit period sequence length is determined, according to the ratio Integer and the unit period sequence length obtain predetermined sequence length, wherein the ratio integer is odd number, the default sequence Row length is odd number；
According to the predetermined sequence length and default starting point, the first positive sequence is obtained from the comb filtering sequence Row obtain the first anti-pleat sequence according to the described first positive sequence；
First positive phase is obtained according to the described first positive sequence, the first reverse phase is obtained according to the described first anti-pleat sequence Position；
First average initial phase is obtained according to first positive phase and first antiphase；
According to the described first average initial phase and preset phase value, obtain phase fiducial value, according to the phase fiducial value, The default starting point and the unit period sequence length, obtain new starting point；
According to the predetermined sequence length and the new starting point, the second positive sequence is obtained from the comb filtering sequence Row obtain the second anti-pleat sequence according to the second positive sequence；
Second positive phase is obtained according to the described second positive sequence, the second reverse phase is obtained according to the described second anti-pleat sequence Position；
Second average initial phase is obtained according to second positive phase and second antiphase；
Described second positive sequence with the described second anti-pleat sequence is added, is obtained and sequence, according to it is described with sequence with The cosine function value of described second average initial phase, obtains cosine function modulation sequence；
Described second positive sequence with the described second anti-pleat sequence is subtracted each other, obtains difference sequence, according to the difference sequence with The sine function of described second average initial phase, obtains SIN function modulation sequence；
It is exported from the cosine function modulation sequence central point, obtains zero initial phase benchmark cosine function modulation sequence, from The SIN function modulation sequence central point output, obtains zero initial phase reference sinusoidal FUNCTION MODULATION sequence；
By the zero initial phase benchmark cosine function modulation sequence and the zero initial phase reference sinusoidal FUNCTION MODULATION sequence Multiplied by with 2 after multiplication, zero initial phase reference sinusoidal function times frequency sequence is obtained.
A kind of system for obtaining zero initial phase reference sinusoidal function times frequency sequence, including：
Preliminary sequence length determination modul, for lower limit, the preset sample frequency and pre- according to frequency power signal scope If integer signal period number, preliminary sequence length is obtained；
Preliminary sequence acquisition module, for being sampled according to the preliminary sequence length to electric power signal, described in acquisition The preliminary sequence of electric power signal；
Reference frequency determining module, for, into line frequency preliminary survey, obtaining the first of the electric power signal to the preliminary sequence Synchronizing frequency obtains reference frequency according to the preliminary frequency；
Unit period sequence length determining module, for according to the preset sample frequency and the reference frequency, obtaining The unit period sequence length of the electric power signal；
Preprocessing sequence length determination modul, for by the default integer signal period number and the unit period sequence Length is multiplied, and obtains preprocessing sequence length；
Preprocessing sequence acquisition module, for according to the preprocessing sequence length, from the preliminary sequence of the electric power signal Preprocessing sequence is obtained in row；
Comb filtering sequence determining module for carrying out comb filtering processing to the preprocessing sequence, obtains pectination filter Wave train, wherein comb filtering sequence length are carrying out comb filtering treated residue length for the preprocessing sequence；
Predetermined sequence length determination modul, for determining that the comb filtering sequence length and the unit period sequence are long The ratio integer of degree obtains predetermined sequence length, wherein described according to the ratio integer and the unit period sequence length Ratio integer is odd number, and the predetermined sequence length is odd number；
First ray acquisition module, for according to the predetermined sequence length and default starting point, from the comb filtering The first positive sequence is obtained in sequence, the first anti-pleat sequence is obtained according to the described first positive sequence；
First positive and negative phase determination module, for obtaining the first positive phase according to the described first positive sequence, according to described First anti-pleat sequence obtains the first antiphase；
First average initial phase determining module, for obtaining first according to first positive phase and first antiphase Average initial phase；
New starting point determining module, for according to the described first average initial phase and preset phase value, obtaining phase bit comparison Value, according to the phase fiducial value, the default starting point and the unit period sequence length, obtains new starting point；
Second retrieval module, for according to the predetermined sequence length and the new starting point, being filtered from the pectination The second positive sequence is obtained in wave train, the second anti-pleat sequence is obtained according to the second positive sequence；
Second positive and negative phase determination module, for obtaining the second positive phase according to the described second positive sequence, according to described Second anti-pleat sequence obtains the second antiphase；
Second average initial phase determining module, for obtaining second according to second positive phase and second antiphase Average initial phase；
Cosine function modulation sequence determining module, for by the described second positive sequence and the described second anti-pleat sequence phase Add, obtain and sequence, the cosine function value for the initial phase that is averaged according to described and sequence and described second obtain cosine function modulation Sequence；
SIN function modulation sequence determining module, for by the described second positive sequence and the described second anti-pleat sequence phase Subtract, obtain difference sequence, according to the difference sequence and the sine function of the second average initial phase, obtain SIN function modulation Sequence；
Zero initial phase modulation sequence acquisition module for being exported from the cosine function modulation sequence central point, obtains zero Initial phase benchmark cosine function modulation sequence is exported from the SIN function modulation sequence central point, obtains zero initial phase benchmark SIN function modulation sequence；
Zero initial phase reference sinusoidal function times frequency sequence determining module, for by the zero initial phase benchmark cosine function tune Sequence processed be multiplied with the zero initial phase reference sinusoidal FUNCTION MODULATION sequence after multiplied by with 2, obtain zero initial phase reference sinusoidal letter Several times frequency sequence.
The present invention obtains the method and system of zero initial phase reference sinusoidal function times frequency sequence, to input electric power signal sequence Frequency carry out process of frequency multiplication, obtain zero initial phase reference sinusoidal function times frequency sequence.The zero initial phase base that the present invention is obtained Quasi sinusoids times frequency sequence is used for the measurement of frequency power signal, is remarkably improved the accuracy of frequency power signal measurement.
Description of the drawings
Fig. 1 is the flow diagram for the embodiment of the method that the present invention obtains zero initial phase reference sinusoidal function times frequency sequence；
Fig. 2 is schematic diagram of the comb filtering of the present invention processing in frequency domain amplitude versus frequency characte；
Fig. 3 is the schematic diagram of preliminary sequence of the present invention, the first positive sequence and the first anti-pleat sequence；
Fig. 4 is the pictorial diagram of zero initial phase datum mark of the invention；
Fig. 5 is the structure diagram for the system embodiment that the present invention obtains zero initial phase reference sinusoidal function times frequency sequence.
Specific embodiment
It is below in conjunction with the accompanying drawings and preferably real further to illustrate the effect of the technological means of the invention taken and acquirement Example is applied, to technical scheme, carries out clear and complete description.
As shown in Figure 1, a kind of method for obtaining zero initial phase reference sinusoidal function times frequency sequence, including step：
S101, according to the lower limit of frequency power signal scope, preset sample frequency and default integer signal period number, obtain Preliminary sequence length；
S102, electric power signal is sampled according to the preliminary sequence length, obtains the preliminary sequence of the electric power signal Row；
S103, to the preliminary sequence into line frequency preliminary survey, obtain the preliminary frequency of the electric power signal, according to it is described just Synchronizing frequency obtains reference frequency；
S104, according to the preset sample frequency and the reference frequency, obtain the unit period sequence of the electric power signal Row length；
S105, the default integer signal period number with the unit period sequence length is multiplied, obtains pretreatment sequence Row length；
S106, according to the preprocessing sequence length, obtain preprocessing sequence from the preliminary sequence of the electric power signal；
S107, comb filtering processing is carried out to the preprocessing sequence, obtains comb filtering sequence, wherein comb filtering sequence Row length is carrying out comb filtering treated residue length for the preprocessing sequence；
S108, the ratio integer for determining the comb filtering sequence length and the unit period sequence length, according to institute It states ratio integer and the unit period sequence length obtains predetermined sequence length, wherein the ratio integer is odd number, it is described Predetermined sequence length is odd number；
S109, according to the predetermined sequence length and default starting point, obtaining first just from the comb filtering sequence To sequence, the first anti-pleat sequence is obtained according to the described first positive sequence；
S110, the first positive phase is obtained according to the described first positive sequence, first is obtained according to the described first anti-pleat sequence Antiphase；
S111, the first average initial phase is obtained according to first positive phase and first antiphase；
S112, be averaged initial phase and preset phase value according to described first, phase fiducial value is obtained, according to the phase ratio Compared with value, the default starting point and the unit period sequence length, new starting point is obtained；
S113, according to the predetermined sequence length and the new starting point, obtain second from the comb filtering sequence Positive sequence obtains the second anti-pleat sequence according to the second positive sequence；
S114, the second positive phase is obtained according to the described second positive sequence, second is obtained according to the described second anti-pleat sequence Antiphase；
S115, the second average initial phase is obtained according to second positive phase and second antiphase；
S116, the described second positive sequence with the described second anti-pleat sequence is added, obtained and sequence, according to described and sequence The cosine function value of row and the described second average initial phase, obtains cosine function modulation sequence；
S117, the described second positive sequence with the described second anti-pleat sequence is subtracted each other, obtains difference sequence, according to the poor sequence The sine function of row and the described second average initial phase, obtains SIN function modulation sequence；
S118, exported from the cosine function modulation sequence central point, obtain zero initial phase benchmark cosine function modulation sequence Row are exported from the SIN function modulation sequence central point, obtain zero initial phase reference sinusoidal FUNCTION MODULATION sequence；
S119, by the zero initial phase benchmark cosine function modulation sequence and the zero initial phase reference sinusoidal FUNCTION MODULATION Multiplied by with 2 after sequence multiplication, zero initial phase reference sinusoidal function times frequency sequence is obtained.
Actual electric power signal is a kind of sinusoidal signal based on fundamental wave component, and unless otherwise specified, electric power signal refers both to Fundamental signal, frequency power signal refer both to fundamental frequency.For step S101, power system frequency scope is generally (conspicuous in 45Hz Hereby) -55Hz, so the lower limit f of frequency power signal scopeminIt can be taken as 45Hz.Default integer signal period number C2πIt can root It is set according to actual needs, for example, by C2πIt is taken as 17.Preliminary sequence length can be calculated according to formula (1)：
Wherein, NstartFor preliminary sequence length；(int) rounding is represented；C2πTo preset integer signal period number；fminFor electricity The lower limit of force signal frequency range, unit Hz；F is preset sample frequency, unit Hz.
For step S102, the cosine function signal representation electric power signal of single fundamental frequency can be used, then preliminary sequence For formula (2)：
Wherein, Xstart(n) it is preliminary sequence；A is signal amplitude, unit v；ωiFor signal frequency, when T is the sampling interval Between, f is preset sample frequency, and unit Hz, n are series of discrete number,For the initial phase of preliminary sequence, NstartIt is long for preliminary sequence Degree.
For step S103, can by zero hand over method, the algorithm based on filtering, based on Wavelet Transformation Algorithm, based on nerve net The algorithm of network, the frequency algorithm based on DFT transform or based on the frequency algorithm of phase difference to preliminary sequence into line frequency preliminary survey, obtain Take preliminary frequency ωo.In one embodiment, the reference frequency ωs=ωo。
For step S104, in one embodiment, the unit period sequence length of the electric power signal calculates, and is formula (3)：
Wherein, N2πFor unit periodic sequence length；(int) it is round numbers；F is preset sample frequency, unit Hz；ωsFor Reference frequency.There are the errors in 1 sampling interval for the unit period sequence length integer.
For step S105, the preprocessing sequence length is formula (4)：
Nset=C2πN2π (4)
Wherein, NsetFor preprocessing sequence length；C2πTo preset integer signal period number；N2πIt is long for unit periodic sequence Degree.
For step S106, in one embodiment, preprocessing sequence is obtained, be formula (5)：
Wherein, Xset(n) it is preprocessing sequence, Xstart(n) it is preliminary sequence, NsetFor preprocessing sequence length.
There are subharmonic, even-order harmonic, odd harmonics etc., in optical mixing process, generated mixing in electric power signal Interfering frequency seriously affects the accuracy in computation of sine parameter, and carrying out comb filtering processing can be from source to mixing interfering frequency production Raw factor is effectively inhibited.
For step S107,2 different list entries of starting point are subtracted each other, the frequency domain amplitude-frequency filtering that can obtain pectination is special Property, referred to as comb filtering processing.The interval of 2 list entries is defined as comb filtering parameter, the processing of single-stage comb filtering It is expressed as formula (6)：
Wherein, XL(n) it is single-stage comb filtering output sequence；Xset(n) it is preprocessing sequence；Xset(NL+ n) it is from NLIt rises The preprocessing sequence of beginning；NLFor 2 train intervals or single-stage comb filtering parameter；NsetFor preprocessing sequence length；N2πFor unit Periodic sequence length.Comb filtering parameter NLValue is unit periodic sequence length N2π0.5 times, even-order harmonic can be carried out Inhibit and decay to subharmonic.
In one embodiment, can comb filtering processing be carried out to the preprocessing sequence by comb filter.By , in order to improve comb-filter effects, 8 can be passed through there are integer error there are error, comb filtering parameter in reference frequency Grade comb filter carries out comb filtering processing, is expressed as formula (7)：
Wherein, X8L(n) it is 8 grades of comb filter or comb filtering sequence；Filter[8,NL,Xset(n)] 8 represent comb in Shape filtering series is 8, NLFor single-stage comb filtering parameter, Xset(n) it is preprocessing sequence；KL(ωi) exist for comb filtering processing Signal frequency ωiDimensionless amplitude gain, T is sampling interval duration；For comb filtering sequence initial phase；NsetTo locate in advance Manage sequence length.
Comb filtering processing needs to use unit period sequence length N2π4 times of sequence lengths.Comb filtering processing is in frequency Domain amplitude versus frequency characte is as shown in Figure 2.
For step S108, in one embodiment, ratio integer is set to odd number, determines the comb filtering sequence length It is formula (8) with the ratio integer of the unit period sequence length：
Wherein, k be the ratio integer, NsetFor preprocessing sequence length, NLFor single-stage comb filtering parameter, N2πFor list Bit period sequence length.
In one embodiment, predetermined sequence length is arranged to odd number, and predetermined sequence length computation is formula (9)：
Wherein, N be predetermined sequence length, k be the ratio integer, N2πFor unit periodic sequence length.
For step S109, in one embodiment, default starting point can be the 0.5 of the unit period sequence length Times, the described first positive sequence, is formula (10)：
Wherein, X8L(n) it is 8 grades of comb filtering sequences, X+start(n) it is the first positive sequence, PstartTo preset starting point, N2πFor unit periodic sequence length, (int) is round numbers, and A is signal amplitude, unit v, ωiFor signal frequency, KL(ωi) it is comb Shape filtering process is in signal frequency ωiDimensionless amplitude gain, T is sampling interval duration, and n is series of discrete number,For One positive sequence initial phase, N are predetermined sequence length.
In one embodiment, the described first anti-pleat sequence is formula (11)：
Wherein, X-start(- n) be the first anti-pleat sequence, X+start(n) it is the first positive sequence, A is signal amplitude, unit V, ωiFor signal frequency, T is sampling interval duration, and n is series of discrete number, and β 1 is the first anti-pleat sequence initial phase, and N is default Sequence length.Preliminary sequence, the first positive sequence and the first anti-pleat sequence pattern expression are as shown in Figure 3.
For step S110, the calculating of the first positive phase and the first antiphase is the knot based on orthogonal mixing and integral and calculating Fruit.
When without considering the mixing interfering frequency of orthogonal mixing, orthogonal mixing is expressed as formula (12), and integral and calculating is expressed as Formula (13)：
Wherein, R+start(n) it is the first positive real frequency mixing sequence, I+start(n) sequence, R are mixed for the first weakened body resistance frequency-start (- n) is mixed sequence, I for the first anti-real frequency-start(- n) is mixed sequence, cos (ω for the first anti-empty frequencys) or cos (- ω Tns Tn it is) the discrete cosine function of reference frequency, sin (ωs) or sin (- ω TnsTn it is) discrete sine function of reference frequency, Ω is signal frequency ωiWith reference frequency ωsFrequency difference, T is sampling interval duration, and n is series of discrete number, KL(ωi) it is pectination Filtering process is in signal frequency ωiDimensionless amplitude gain,For the first positive sequence initial phase, β 1 is the first positive sequence Initial phase, N are predetermined sequence length.
Wherein, R+startFor the first positive real frequency integrated value, unit dimensionless, I+startFor the first weakened body resistance frequency integrated value, unit Dimensionless, R-startFor the first anti-real frequency integrated value, unit dimensionless, I-startFor the first anti-empty frequency mixing integrated value, unit without Dimension, Ω are signal frequency ωiWith reference frequency ωsFrequency difference, T is sampling interval duration, and n is series of discrete number, and N is default Sequence length,For the first positive sequence initial phase, β 1 is the first anti-pleat sequence initial phase, and N is predetermined sequence length.
In one embodiment, the calculating of the first positive phase and the first antiphase is expressed as formula (14)：
Wherein, PH+startFor the first positive phase, PH-startFor the first antiphase, R+startIt is single for the first positive real frequency integrated value Position dimensionless, I+startFor the first weakened body resistance frequency integrated value, unit dimensionless, R-startFor first, anti-reality frequency integrated value, unit are immeasurable Guiding principle, I-startFor the first anti-empty frequency mixing integrated value, unit dimensionless, Ω is signal frequency ωiWith reference frequency ωsFrequency difference, T For sampling interval duration, N is predetermined sequence length,For the first positive sequence initial phase, β 1 is the first anti-pleat sequence first phase Position.
For step S111, in one embodiment, the first average initial phase computational methods are expressed as formula (15)：
Wherein, PHstart-avgFor the first average initial phase, PH+startFor the first positive phase, PH-startFor the first antiphase,For the first positive sequence initial phase, β 1 is the first anti-pleat sequence initial phase.
For step S112, in one embodiment, the preset phase value can be ± π/4；It is flat according to described first The step of equal initial phase and preset phase value, acquisition phase fiducial value, can include：
If the described first average initial phase is more than or equal to 0 and is less than or equal to pi/2, the described first average first phase is subtracted according to π/4 Position obtains phase fiducial value；
If the described first average initial phase is more than or equal to-pi/2 is less than or equal to 0, according to-π/4 subtract described first it is average just Phase obtains phase fiducial value.
Specially formula (16)：
Wherein, △ PHcomFor phase fiducial value, unit rad, PHstart-avgFor the first average initial phase.
In one embodiment, the new starting point calculates, and is formula (17)：
Wherein, PnewFor new starting point, unit dimensionless, PstartTo preset starting point, △ PHcomIt is single for phase fiducial value Position rad, N2πFor unit periodic sequence length, (int) is round numbers.
For step S113, the second positive sequence and the second anti-pleat sequence are formula (18)：
Wherein, X8L(n) it is 8 grades of comb filtering sequences, X+end(n) it is the second positive sequence, X-end(- n) is the second anti-pleat Sequence, PnewFor new starting point, unit dimensionless, KL(ωi) handled for comb filtering in signal frequency ωiDimensionless amplitude increase Benefit,For the second positive sequence initial phase, β 2 is the second anti-pleat sequence initial phase, ωiFor signal frequency, when T is the sampling interval Between, n is series of discrete number, and N is predetermined sequence length.
For step S114, the computational methods of the second positive phase and the second antiphase are based on orthogonal mixing and number filter The result that ripple calculates.The digital filtering is made of 6 grades of rectangular window arithmetic mean filters of 2 kinds of filtering parameters.
When without considering the mixing interfering frequency of orthogonal mixing, orthogonal mixing is expressed as formula (19), and the 6 of 2 kinds of filtering parameters Grade rectangular window arithmetic mean filter filtering calculation expression is formula (20)：
Wherein, R+end(n) it is the second positive real frequency mixing sequence, I+end(n) sequence, R are mixed for the second weakened body resistance frequency-end(-n) For the second anti-real frequency mixing sequence, I-end(- n) is mixed sequence, cos (ω for the second anti-empty frequencys) or cos (- ω TnsTn) it is The discrete cosine function of reference frequency, sin (ωs) or sin (- ω TnsTn it is) discrete sine function of reference frequency, KL (ωi) handled for comb filtering in signal frequency ωiDimensionless amplitude gain, Ω be signal frequency ωiWith reference frequency ωs Frequency difference, ωiFor signal frequency, T is sampling interval duration, and n is series of discrete number,For the first positive sequence initial phase, β 1 For the first anti-pleat sequence initial phase, N is predetermined sequence length.
Wherein, R+endFor the second positive real frequency digital filtering final value, unit dimensionless；I+endFor the second weakened body resistance frequency digital filtering Final value, unit dimensionless；R-endFor the second anti-digital filtering final value, unit dimensionless；I-endIt is whole for the second anti-empty frequency digital filtering Value, unit dimensionless；KL(ωi) handled for comb filtering in signal frequency ωiDimensionless amplitude gain, Ω is signal frequency ωiWith reference frequency ωsFrequency difference；K (Ω) is digital filtering in the amplitude gain of frequency difference Ω, unit dimensionless；T is between sampling Every the time；For the second positive sequence initial phase；β 2 is the second anti-pleat sequence initial phase；ND1For filtering parameter 1, i.e., to ND1It is a Continuous centrifugal pump is added, its arithmetic mean of instantaneous value is then taken to be exported as this filter value；ND2For filtering parameter 2, i.e., to ND2A company Continuous centrifugal pump is added, its arithmetic mean of instantaneous value is then taken to be exported as this filter value；NDSequence length, number are used for digital filtering It is the summation of 6 grades of rectangular window arithmetic mean filter filtering parameters in amount, less than or equal to predetermined sequence length N.
In one embodiment, filtering parameter ND1Value is 1.5 times of the unit period sequence length of the reference frequency, Purpose carries out depth inhibition to the mixing interfering frequency that 1/3 subharmonic generates；Filtering parameter ND2Value is the reference frequency 2 times of unit period sequence length, purpose carries out depth to the mixing interfering frequency of the generations such as direct current, 1/2 gradation, subharmonic Inhibit.6 grades of rectangular window arithmetic mean filters filtering of 2 kinds of filtering parameters, which calculates, to be needed using signal period sequence length 10.5 times.
Filtering parameter ND1With filtering parameter ND2It is calculated as formula (21)：
Wherein, ND1For digital filter parameters 1, unit dimensionless, (int) is round numbers, ND2It is single for digital filter parameters 2 Position dimensionless, N2πFor unit periodic sequence length.
In one embodiment, the computational methods of the second positive phase and the second antiphase are expressed as formula (22)：
Wherein, PH+endFor the second positive phase, PH-endFor the second antiphase, R+endFor the second positive real frequency integrated value, unit without Dimension, I+endFor the second weakened body resistance frequency integrated value, unit dimensionless, R-endFor the second anti-real frequency integrated value, unit dimensionless, I-end For the second anti-empty frequency mixing integrated value, unit dimensionless, Ω is signal frequency ωiWith reference frequency ωsFrequency difference, T for sampling between Every the time, NDSequence length is used for digital filtering,For the second positive sequence initial phase, β 2 is the second anti-pleat sequence first phase Position.
For step S115, the second average initial phase computational methods are expressed as formula (23)：
Wherein, PHend-avgFor the second average initial phase, PH+endFor the second positive phase, PH-endFor the second antiphase,For Second positive sequence initial phase, β 2 are the second positive sequence initial phase.
For step S116, cosine function modulation sequence is expressed as formula (24)：
Wherein, Xcos(n) it is cosine function modulation sequence；X+end(n) it is the second positive sequence；X-end(- n) is the second anti-pleat Sequence；PHend-avgFor the second average initial phase；A KL(ωi) for cosine function modulation sequence amplitude, unit v； For cosine function modulation sequence initial phase, KL(ωi) handled for comb filtering in signal frequency ωiDimensionless amplitude gain, ωiFor signal frequency, T is sampling interval duration, and n is series of discrete number, and N is predetermined sequence length,For the second positive sequence Initial phase, β 2 are the second anti-pleat sequence initial phase.
For step S117, SIN function modulation sequence is expressed as formula (25)：
Wherein, Xsin(n) it is SIN function modulation sequence, X+end(n) it is the second positive sequence, X-end(- n) is the second anti-pleat Sequence, PHend-avgFor the second average initial phase, A KL(ωi) for SIN function modulation sequence amplitude, unit v, For cosine function modulation sequence initial phase, KL(ωi) handled for comb filtering in signal frequency ωiDimensionless amplitude gain, ωiSignal frequency, T are sampling interval duration, and n is series of discrete number, and N is predetermined sequence length,For at the beginning of the second positive sequence Phase, β 2 are the second anti-pleat sequence initial phase.
For step S118, in one embodiment, zero initial phase benchmark cosine function modulation sequence is obtained, is expressed as formula (26)：
Wherein, X0cos(n) it is zero initial phase benchmark cosine function modulation sequence, A KL(ωi) it is cosine function modulation sequence Amplitude, unit v, ωiFor signal frequency, KL(ωi) handled for comb filtering in signal frequency ωiDimensionless amplitude gain, T For sampling interval duration, n is series of discrete number, and N is predetermined sequence length.
In one embodiment, zero initial phase reference sinusoidal FUNCTION MODULATION sequence is obtained, is expressed as formula (27)：
Wherein, X0sin(n) it is zero initial phase reference sinusoidal FUNCTION MODULATION sequence, A KL(ωi) it is SIN function modulation sequence Amplitude, unit v, ωiFor signal frequency, KL(ωi) handled for comb filtering in signal frequency ωiDimensionless amplitude gain, T is sampling interval duration, and n is series of discrete number, and N is predetermined sequence length.Zero initial phase datum mark avatars such as Fig. 4 institutes Show.
For step S119, in one embodiment, zero initial phase reference sinusoidal function times frequency sequence is obtained, is expressed as formula (28)：
Wherein, X02sin(n) it is zero initial phase reference sinusoidal function times frequency sequence, (N-1)/2 are sequence length.
Based on same inventive concept, the present invention also provides it is a kind of obtain zero initial phase reference sinusoidal function times frequency sequence be System, is below in conjunction with the accompanying drawings described in detail embodiments of systems of the invention.
As shown in figure 5, a kind of system for obtaining zero initial phase reference sinusoidal function times frequency sequence, including：
Preliminary sequence length determination modul 101, for according to frequency power signal scope lower limit, preset sample frequency and Default integer signal period number, obtains preliminary sequence length；
Preliminary sequence acquisition module 102 for being sampled according to the preliminary sequence length to electric power signal, obtains institute State the preliminary sequence of electric power signal；
Reference frequency determining module 103, for, into line frequency preliminary survey, obtaining the electric power signal to the preliminary sequence Preliminary frequency obtains reference frequency according to the preliminary frequency；
Unit period sequence length determining module 104, for according to the preset sample frequency and the reference frequency, obtaining Obtain the unit period sequence length of the electric power signal；
Preprocessing sequence length determination modul 105, for by the default integer signal period number and the unit period Sequence length is multiplied, and obtains preprocessing sequence length；
Preprocessing sequence acquisition module 106, for according to the preprocessing sequence length, from the preliminary of the electric power signal Preprocessing sequence is obtained in sequence；
Comb filtering sequence determining module 107 for carrying out comb filtering processing to the preprocessing sequence, obtains pectination Filtered sequence, wherein comb filtering sequence length are carrying out comb filtering treated residue length for the preprocessing sequence；
Predetermined sequence length determination modul 108, for determining the comb filtering sequence length and the unit period sequence The ratio integer of row length obtains predetermined sequence length according to the ratio integer and the unit period sequence length, wherein The ratio integer is odd number, and the predetermined sequence length is odd number；
First ray acquisition module 109, for according to the predetermined sequence length and default starting point, being filtered from the pectination The first positive sequence is obtained in wave train, the first anti-pleat sequence is obtained according to the described first positive sequence；
First positive and negative phase determination module 110, for obtaining the first positive phase according to the described first positive sequence, according to institute It states the first anti-pleat sequence and obtains the first antiphase；
First average initial phase determining module 111, for according to first positive phase and first antiphase acquisition First average initial phase；
New starting point determining module 112, for according to the described first average initial phase and preset phase value, obtaining phase ratio Compared with value, according to the phase fiducial value, the default starting point and the unit period sequence length, new starting point is obtained；
Second retrieval module 113, for according to the predetermined sequence length and the new starting point, from the pectination The second positive sequence is obtained in filtered sequence, the second anti-pleat sequence is obtained according to the second positive sequence；
Second positive and negative phase determination module 114, for obtaining the second positive phase according to the described second positive sequence, according to institute It states the second anti-pleat sequence and obtains the second antiphase；
Second average initial phase determining module 115, for according to second positive phase and second antiphase acquisition Second average initial phase；
Cosine function modulation sequence determining module 116, for by the described second positive sequence and the described second anti-pleat sequence It is added, obtains and sequence, the cosine function value for the initial phase that is averaged according to described and sequence and described second obtain cosine function tune Sequence processed；
SIN function modulation sequence determining module 117, for by the described second positive sequence and the described second anti-pleat sequence Subtract each other, obtain difference sequence, according to the difference sequence and the sine function of the second average initial phase, obtain SIN function tune Sequence processed；
Zero initial phase modulation sequence acquisition module 118 for being exported from the cosine function modulation sequence central point, obtains Zero initial phase benchmark cosine function modulation sequence is exported from the SIN function modulation sequence central point, obtains zero initial phase base Quasi sinusoids modulation sequence；
Zero initial phase reference sinusoidal function times frequency sequence determining module 119, for by the zero initial phase benchmark cosine letter It counts after modulation sequence is multiplied with the zero initial phase reference sinusoidal FUNCTION MODULATION sequence multiplied by with 2, is obtaining zero initial phase benchmark just String function times frequency sequence.
In one embodiment, the cosine function modulation sequence determining module 116 is according to expression formulaObtain cosine function modulation sequence Xcos(n), wherein, X+end(n) it is the second positive sequence Row, X-end(- n) be the second anti-pleat sequence, PHend-avgFor the second average initial phase.
In one embodiment, the SIN function modulation sequence determining module 117 can be according to expression formulaObtain SIN function modulation sequence Xsin(n), wherein, X+end(n) it is the second positive sequence Row, X-end(- n) be the second anti-pleat sequence, PHend-avgFor the second average initial phase.
In one embodiment, the zero initial phase modulation sequence acquisition module 118 can be according to expression formulaObtain the zero initial phase benchmark cosine function modulation sequence X0cos(n), wherein,N be series of discrete number, N be predetermined sequence length, Xcos(n) it is cosine function modulation sequence.
In one embodiment, the zero initial phase modulation sequence acquisition module 118 can be according to expression formulaObtain the zero initial phase reference sinusoidal FUNCTION MODULATION sequence X 0sin(n), wherein,N be series of discrete number, N be predetermined sequence length, Xsin(n) it is SIN function modulation sequence.
The other technical characteristics of present system are identical with the method for the present invention, and it will not be described here.
Each technical characteristic of embodiment described above can be combined arbitrarily, to make description succinct, not to above-mentioned reality It applies all possible combination of each technical characteristic in example to be all described, as long as however, the combination of these technical characteristics is not deposited In contradiction, the scope that this specification is recorded all is considered to be.
Embodiment described above only expresses the several embodiments of the present invention, and description is more specific and detailed, but simultaneously It cannot therefore be construed as limiting the scope of the patent.It should be pointed out that come for those of ordinary skill in the art It says, without departing from the inventive concept of the premise, various modifications and improvements can be made, these belong to the protection of the present invention Scope.Therefore, the protection domain of patent of the present invention should be determined by the appended claims.

Claims (6)

  1. A kind of 1. method for obtaining zero initial phase reference sinusoidal function times frequency sequence, which is characterized in that including step：
    According to the lower limit of frequency power signal scope, preset sample frequency and default integer signal period number, preliminary sequence is obtained Length；
    Electric power signal is sampled according to the preliminary sequence length, obtains the preliminary sequence of the electric power signal；
    To the preliminary sequence into line frequency preliminary survey, the preliminary frequency of the electric power signal is obtained, is obtained according to the preliminary frequency To reference frequency；
    According to the preset sample frequency and the reference frequency, the unit period sequence length of the electric power signal is obtained；
    The default integer signal period number with the unit period sequence length is multiplied, obtains preprocessing sequence length；
    According to the preprocessing sequence length, preprocessing sequence is obtained from the preliminary sequence of the electric power signal；
    Comb filtering processing is carried out to the preprocessing sequence, obtains comb filtering sequence, wherein comb filtering sequence length is The preprocessing sequence is carrying out comb filtering treated residue length；
    The ratio integer of the comb filtering sequence length and the unit period sequence length is determined, according to the ratio integer Predetermined sequence length is obtained with the unit period sequence length, wherein the ratio integer is odd number, the predetermined sequence is long It spends for odd number；
    According to the predetermined sequence length and default starting point, the first positive sequence, root are obtained from the comb filtering sequence The first anti-pleat sequence is obtained according to the described first positive sequence；
    First positive phase is obtained according to the described first positive sequence, the first antiphase is obtained according to the described first anti-pleat sequence；
    First average initial phase is obtained according to first positive phase and first antiphase；
    According to the described first average initial phase and preset phase value, phase fiducial value is obtained, according to the phase fiducial value, described Default starting point and the unit period sequence length, obtain new starting point；
    According to the predetermined sequence length and the new starting point, the second positive sequence is obtained from the comb filtering sequence, Second anti-pleat sequence is obtained according to the second positive sequence；
    Second positive phase is obtained according to the described second positive sequence, the second antiphase is obtained according to the described second anti-pleat sequence；
    Second average initial phase is obtained according to second positive phase and second antiphase；
    Described second positive sequence with the described second anti-pleat sequence is added, is obtained and sequence, according to described with sequence and described The cosine function value of second average initial phase, obtains cosine function modulation sequence；
    According to expression formulaObtain cosine function modulation sequence Xcos(n), wherein, X+end(n) For the second positive sequence, X-end(- n) be the second anti-pleat sequence, PHend-avgFor the second average initial phase；
    Described second positive sequence with the described second anti-pleat sequence is subtracted each other, obtains difference sequence, according to the difference sequence and described The sine function of second average initial phase, obtains SIN function modulation sequence；
    According to expression formulaObtain SIN function modulation sequence Xsin(n), wherein, X+end(n) For the second positive sequence, X-end(- n) be the second anti-pleat sequence, PHend-avgFor the second average initial phase；
    It is exported from the cosine function modulation sequence central point, zero initial phase benchmark cosine function modulation sequence is obtained, from described SIN function modulation sequence central point exports, and obtains zero initial phase reference sinusoidal FUNCTION MODULATION sequence；
    The zero initial phase benchmark cosine function modulation sequence is multiplied with the zero initial phase reference sinusoidal FUNCTION MODULATION sequence Afterwards multiplied by with 2, zero initial phase reference sinusoidal function times frequency sequence is obtained.
  2. 2. the method according to claim 1 for obtaining zero initial phase reference sinusoidal function times frequency sequence, which is characterized in that root According to expression formulaObtain the zero initial phase benchmark cosine function modulation sequence X0cos(n), wherein,N be series of discrete number, N be predetermined sequence length, Xcos(n) it is cosine function modulation sequence.
  3. 3. the method according to claim 1 for obtaining zero initial phase reference sinusoidal function times frequency sequence, which is characterized in that root According to expression formulaObtain the zero initial phase reference sinusoidal FUNCTION MODULATION sequence X 0sin(n), wherein,N be series of discrete number, N be predetermined sequence length, Xsin(n) it is SIN function modulation sequence.
  4. 4. a kind of system for obtaining zero initial phase reference sinusoidal function times frequency sequence, which is characterized in that including：
    Preliminary sequence length determination modul, for lower limit, the preset sample frequency and default whole according to frequency power signal scope Number signal period number, obtains preliminary sequence length；
    Preliminary sequence acquisition module for being sampled according to the preliminary sequence length to electric power signal, obtains the electric power The preliminary sequence of signal；
    Reference frequency determining module, for, into line frequency preliminary survey, obtaining the first cadence of the electric power signal to the preliminary sequence Rate obtains reference frequency according to the preliminary frequency；
    Unit period sequence length determining module, for according to the preset sample frequency and the reference frequency, described in acquisition The unit period sequence length of electric power signal；
    Preprocessing sequence length determination modul, for by the default integer signal period number and the unit period sequence length It is multiplied, obtains preprocessing sequence length；
    Preprocessing sequence acquisition module, for according to the preprocessing sequence length, from the preliminary sequence of the electric power signal Obtain preprocessing sequence；
    Comb filtering sequence determining module for carrying out comb filtering processing to the preprocessing sequence, obtains comb filtering sequence Row, wherein comb filtering sequence length are carrying out comb filtering treated residue length for the preprocessing sequence；
    Predetermined sequence length determination modul, for determining the comb filtering sequence length and the unit period sequence length Ratio integer obtains predetermined sequence length, wherein the ratio according to the ratio integer and the unit period sequence length Integer is odd number, and the predetermined sequence length is odd number；
    First ray acquisition module, for according to the predetermined sequence length and default starting point, from the comb filtering sequence It is middle to obtain the first positive sequence, the first anti-pleat sequence is obtained according to the described first positive sequence；
    First positive and negative phase determination module, for obtaining the first positive phase according to the described first positive sequence, according to described first Anti- pleat sequence obtains the first antiphase；
    First average initial phase determining module, it is average for obtaining first according to first positive phase and first antiphase Initial phase；
    New starting point determining module, for according to the described first average initial phase and preset phase value, obtaining phase fiducial value, root According to the phase fiducial value, the default starting point and the unit period sequence length, new starting point is obtained；
    Second retrieval module, for according to the predetermined sequence length and the new starting point, from the comb filtering sequence The second positive sequence is obtained in row, the second anti-pleat sequence is obtained according to the second positive sequence；
    Second positive and negative phase determination module, for obtaining the second positive phase according to the described second positive sequence, according to described second Anti- pleat sequence obtains the second antiphase；
    Second average initial phase determining module, it is average for obtaining second according to second positive phase and second antiphase Initial phase；
    Cosine function modulation sequence determining module for the described second positive sequence to be added with the described second anti-pleat sequence, obtains It arrives and sequence, the cosine function value for the initial phase that is averaged according to described and sequence and described second obtains cosine function modulation sequence；
    The cosine function modulation sequence determining module is according to expression formulaObtain cosine function Modulation sequence Xcos(n), wherein, X+end(n) it is the second positive sequence, X-end(- n) be the second anti-pleat sequence, PHend-avgFor second Average initial phase；
    SIN function modulation sequence determining module for the described second positive sequence to be subtracted each other with the described second anti-pleat sequence, obtains To difference sequence, according to the difference sequence and the sine function of the second average initial phase, SIN function modulation sequence is obtained；
    The SIN function modulation sequence determining module is according to expression formulaObtain SIN function Modulation sequence Xsin(n), wherein, X+end(n) it is the second positive sequence, X-end(- n) be the second anti-pleat sequence, PHend-avgFor second Average initial phase；
    Zero initial phase modulation sequence acquisition module for being exported from the cosine function modulation sequence central point, obtains zero first phase Position benchmark cosine function modulation sequence, exports from the SIN function modulation sequence central point, obtains zero initial phase reference sinusoidal FUNCTION MODULATION sequence；
    Zero initial phase reference sinusoidal function times frequency sequence determining module, for the zero initial phase benchmark cosine function to be modulated sequence It arranges after being multiplied with the zero initial phase reference sinusoidal FUNCTION MODULATION sequence multiplied by with 2, obtains zero initial phase reference sinusoidal function times Frequency sequence.
  5. 5. the system according to claim 4 for obtaining zero initial phase reference sinusoidal function times frequency sequence, which is characterized in that institute Zero initial phase modulation sequence acquisition module is stated according to expression formulaIt obtains more than the zero initial phase benchmark String FUNCTION MODULATION sequence X 0cos(n), wherein,N is series of discrete number, and N is predetermined sequence length, Xcos(n) it is cosine function modulation sequence.
  6. 6. the system according to claim 4 for obtaining zero initial phase reference sinusoidal function times frequency sequence, which is characterized in that institute Zero initial phase modulation sequence acquisition module is stated according to expression formulaObtain the zero initial phase benchmark SIN function modulation sequence X0sin(n), wherein,N is series of discrete number, and N is long for predetermined sequence Degree, Xsin(n) it is SIN function modulation sequence.
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