CN105548688B - Frequency measurement method and system are carried out according to zero initial phase benchmark cosine function sequence - Google Patents
Frequency measurement method and system are carried out according to zero initial phase benchmark cosine function sequence Download PDFInfo
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Abstract
Frequency measurement method and system are carried out according to zero initial phase benchmark cosine function sequence the present invention relates to one kind, obtain real frequency mixing sequence and empty frequency is mixed sequence, then digital filtering and integration are carried out to the real frequency mixing sequence and the empty frequency mixing sequence, obtain real frequency integrated value and empty frequency integrated value, according to the real frequency integrated value and empty frequency integrated value, the phase of zero initial phase benchmark cosine function modulation sequence is obtained, the frequency of electric power signal is obtained according to the phase.The frequency of electric power signal is obtained by mode of the present invention, is remarkably improved the degree of accuracy of frequency power signal measurement.
Description
Technical field
The present invention relates to technical field of power systems, more particularly to one kind according to zero initial phase benchmark cosine function sequence
Carry out frequency measurement method and system.
Background technology
The frequency measurement of power system, phase measurement, amplitude measurement 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 power system.But as sine parameter is surveyed
The development of amount technology, the problem of Fourier transformation is present also more aobvious protrusion, it is difficult to further meet that sine is joined in power system
The requirement that number high accuracy calculates.
In terms of power 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..Because the specified power frequency of operation of power networks is near 50Hz (hertz),
Belong to the relatively low sinusoidal frequency of frequency, and interference in the electric power signal of reality be present, such as harmonic wave interference, electric load are small
In the range of similar white noise acoustic jamming etc. caused by 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, provide one kind enters line frequency according to zero initial phase benchmark cosine function sequence
Rate measuring method and system, it is possible to increase the degree of accuracy of frequency power signal measurement.
In order to solve the above technical problems, the present invention adopts the following technical scheme that：
It is a kind of that frequency measurement method, including step are carried out according to zero initial phase benchmark cosine function sequence：
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；
Line frequency preliminary survey is entered to the preliminary sequence, obtains the preliminary frequency of the electric power signal, 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 grown
Degree；
The default integer signal period number is multiplied with the unit period sequence length, obtains preprocessing sequence length
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 grown
Spend the residue length after comb filtering processing is carried out 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, 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, it is anti-phase to obtain first 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, the second anti-pleat sequence is obtained according to the second positive sequence；
Second positive phase is obtained according to the described second positive sequence, it is anti-phase to obtain second 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 is added with the described second anti-pleat sequence, obtained and sequence, according to described and sequence and
The cosine function value of described second average initial phase, obtains cosine function modulation sequence；
Exported from the cosine function modulation sequence central point, obtain zero initial phase benchmark cosine function modulation sequence；
The zero initial phase benchmark cosine function modulation sequence is multiplied with the discrete cosine function of reference frequency respectively and
The discrete sine function of reference frequency is multiplied, and obtains real frequency mixing sequence and empty frequency is mixed sequence；
Digital filtering is carried out to the real frequency mixing sequence and the empty frequency mixing sequence respectively, obtains real frequency filtered sequence
With imaginary frequency filtering sequence；
The real frequency filtered sequence and the imaginary frequency filtering sequence are integrated respectively, obtain real frequency integrated value and empty frequency
Integrated value；
According to the real frequency integrated value and empty frequency integrated value, the phase of zero initial phase benchmark cosine function modulation sequence of acquisition
Position, the frequency of electric power signal is obtained according to the phase.
It is a kind of that frequency measuring system is carried out according to zero initial phase benchmark cosine function sequence, including：
Preliminary sequence length determination modul, for the lower limit according to frequency power signal scope, preset sample frequency and pre-
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 entering line frequency preliminary survey to the preliminary sequence, obtain the first of the electric power signal
Synchronizing frequency, reference frequency is obtained 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, obtain pectination filter
Wave train, wherein comb filtering sequence length are residue length of the preprocessing sequence after comb filtering processing is carried out；
Predetermined sequence length determination modul, for determining that the comb filtering sequence length is grown with the unit period sequence
The ratio integer of degree, predetermined sequence length is obtained according to the ratio integer and the unit period sequence length, wherein described
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, acquisition cosine function are modulated
Sequence；
Zero initial phase modulation sequence acquisition module, for being exported from the cosine function modulation sequence central point, obtain zero
Initial phase benchmark cosine function modulation sequence；
Be mixed sequence determining module, for by the zero initial phase benchmark cosine function modulation sequence respectively with reference frequency
Discrete cosine function be multiplied and be multiplied with the discrete sine function of reference frequency, obtain real frequency mixing sequence and empty mixing sequence frequently
Row；
Filtered sequence determining module, for carrying out numeral to the real frequency mixing sequence and the empty frequency mixing sequence respectively
Filtering, obtains real frequency filtered sequence and imaginary frequency filtering sequence；
Integrated value determining module, for being integrated respectively to the real frequency filtered sequence and the imaginary frequency filtering sequence,
Obtain real frequency integrated value and empty frequency integrated value；
Frequency power signal determining module, for according to the real frequency integrated value and empty frequency integrated value, obtaining zero initial phase
The phase of benchmark cosine function modulation sequence, the frequency of electric power signal is obtained according to the phase.
The present invention carries out frequency measurement method and system according to zero initial phase benchmark cosine function sequence, obtains real frequency and is mixed
Sequence and empty frequency are mixed sequence, then carry out digital filtering and product to the real frequency mixing sequence and the empty frequency mixing sequence
Point, real frequency integrated value and empty frequency integrated value are obtained, according to the real frequency integrated value and empty frequency integrated value, obtains zero initial phase benchmark
The phase of cosine function modulation sequence, the frequency of electric power signal is obtained according to the phase.Electric power is obtained by mode of the present invention
The frequency of signal, it is remarkably improved the degree of accuracy of frequency power signal measurement.
Brief description of the drawings
Fig. 1 is that the present invention shows according to the flow of zero initial phase benchmark cosine function sequence progress frequency measurement method embodiment
It is intended to；
Fig. 2 is schematic diagram of the comb filtering of the present invention processing in frequency domain amplitude versus frequency characte；
Fig. 3 is comb filtering sequence of the present invention, the first positive sequence, the schematic diagram of the first anti-pleat sequence；
Fig. 4 is the pictorial diagram of zero initial phase datum mark of the invention；
Fig. 5 is that the present invention shows according to the structure of zero initial phase benchmark cosine function sequence progress frequency measuring system embodiment
It is intended to.
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 carry out frequency measurement method, including step according to zero initial phase benchmark cosine function sequence：
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, according to the preliminary sequence length electric power signal is sampled, obtain the preliminary sequence of the electric power signal
Row；
S103, line frequency preliminary survey is entered to the preliminary sequence, obtain the preliminary frequency of the electric power signal, according to described first
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 is multiplied with the unit period sequence length, 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, obtain comb filtering sequence, wherein comb filtering sequence
Row length is residue length of the preprocessing sequence after comb filtering processing is carried out；
S108, the ratio integer for determining the comb filtering sequence length and the unit period sequence length, according to institute
State 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 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, the second anti-pleat sequence is obtained according to the second positive sequence；
S114, the second positive phase 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 is added with the described second anti-pleat sequence, 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, from the cosine function modulation sequence central point export, obtain zero initial phase benchmark cosine function modulation sequence
Row；
S118, by the zero initial phase benchmark cosine function modulation sequence discrete cosine function phase with reference frequency respectively
Multiply and be multiplied with the discrete sine function of reference frequency, obtain real frequency mixing sequence and empty frequency is mixed sequence；
S119, digital filtering is carried out to the real frequency mixing sequence and the empty frequency mixing sequence respectively, obtain real frequency and filter
Wave train and imaginary frequency filtering sequence；
S120, the real frequency filtered sequence and the imaginary frequency filtering sequence are integrated respectively, obtain real frequency integrated value
With empty frequency integrated value；
S121, according to the real frequency integrated value and empty frequency integrated value, obtain zero initial phase benchmark cosine function modulation sequence
Phase, according to the phase obtain electric power signal frequency.
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 typically (conspicuous in 45Hz
Hereby) -55Hz, so the lower limit f of frequency power signal scopemin45Hz can be taken as.Default integer signal period number C2πCan root
Set according to being actually needed, for example, by C2πIt is taken as 17.Preliminary sequence length can calculate according to formula (1)：
Wherein, NstartFor preliminary sequence length；(int) represent to round；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, NstartGrown 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 enter line frequency preliminary survey to preliminary sequence based on the frequency algorithm of phase difference, 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.The error in 1 sampling interval be present in 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；N2πGrown for unit periodic sequence
Degree.
For step S106, in one embodiment, preprocessing sequence is obtained, is formula (5)：
Wherein, Xset(n) it is preprocessing sequence, Xstart(n) it is preliminary sequence, NsetFor preprocessing sequence length.
Subharmonic, even-order harmonic, odd harmonic etc. in electric power signal be present, in optical mixing process, caused mixing
Interfering frequency has a strong impact on 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 suppressed.
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 is handled.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 NLRise
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
Suppress and subharmonic is decayed.
In one embodiment, comb filtering processing can be carried out to the preprocessing sequence by comb filter.By
In reference frequency has error, comb filtering parameter has integer error, in order to improve comb-filter effects, 8 can be passed through
Level 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；NsetFor pre- place
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 is 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 is predetermined sequence length, and k is 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 first positive sequence, it 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) is 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.Comb filtering 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 not 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 that the first anti-real frequency is mixed sequence, I-start(- n) is that the first anti-empty frequency is mixed sequence, cos (ωs) or cos (- ω TnsTn)
For the discrete cosine function of reference frequency, sin (ωs) or sin (- ω TnsTn) it is for the discrete sine function of reference frequency, Ω
Signal frequency ωiWith reference frequency ωsFrequency difference, T is sampling interval duration, and n is series of discrete number, KL(ωi) it is comb filtering
Processing is in signal frequency ωiDimensionless amplitude gain,For the first positive sequence initial phase, β 1 is the first positive sequence first phase
Position, N is predetermined sequence length.
Wherein, R+startFor the first just 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, it is expressed as formula (14)：
Wherein, PH+startFor the first positive phase, PH-startFor the first antiphase, R+startIt is single for the first just real frequency integrated value
Position dimensionless, I+startFor the first weakened body resistance frequency integrated value, unit dimensionless, R-startIt is immeasurable for the first anti-real frequency integrated value, unit
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, formula (15) is expressed as：
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
Equal initial phase and preset phase value, the step of obtaining phase fiducial value, can include：
If the described first average initial phase is less than or equal to pi/2 more than or equal to 0, 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.
The computational methods of the second positive phase and the second antiphase, it is based on orthogonal mixing and numeral filter for step S114
The result that ripple calculates.The digital filtering is made up of 6 grades of rectangular window arithmetic mean filters of 2 kinds of filtering parameters.
When not considering the mixing interfering frequency of orthogonal mixing, orthogonal mixing is expressed as formula (19), and the 6 of 2 kinds of filtering parameters
Level 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 that the second anti-empty frequency is mixed sequence, cos (ωs) or cos (- ω TnsTn it is) ginseng
Examine the discrete cosine function of frequency, sin (ωs) or sin (- ω TnsTn it is) discrete sine function of reference frequency, KL(ωi) be
Comb filtering processing is in signal frequency ωiDimensionless amplitude gain, Ω is signal frequency ωiWith reference frequency ωsFrequency 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 is first anti-
Pleat sequence initial phase, N are predetermined sequence length.
Wherein, R+endFor the second just 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 frequency difference Ω amplitude gain, 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 individual
Continuous centrifugal pump is added, and then takes its arithmetic mean of instantaneous value to be exported as this filter value；ND2For filtering parameter 2, i.e., to ND2Individual company
Continuous centrifugal pump is added, and then takes its arithmetic mean of instantaneous value to be exported as this filter value；NDSequence length is used for digital filtering, number
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 suppression to being mixed interfering frequency caused by 1/3 subharmonic；Filtering parameter ND2Value is the reference frequency
2 times of unit period sequence length, purpose carries out depth to being mixed interfering frequency caused by direct current, 1/2 gradation, subharmonic etc.
Suppress.6 grades of rectangular window arithmetic mean filters filtering of 2 kinds of filtering parameters, which calculates, needs to use 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, it is expressed as formula (22)：
Wherein, PH+endFor the second positive phase, PH-endFor the second antiphase, R+endFor the second just 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, formula (23) is expressed as：
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；A KL(ωi) it is 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 second
Positive sequence initial phase, β 2 are the second anti-pleat sequence initial phase.
For step S117, in one embodiment, zero initial phase benchmark cosine function modulation sequence is obtained, is expressed as formula
(25)：
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 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 S118, in one embodiment, obtain real frequency mixing sequence and empty frequency is mixed sequence, be expressed as formula
(26)：
Wherein, R (n) is mixed sequence for real frequency, and I (n) is mixed sequence, X0 for empty frequencycos(n) it is zero initial phase benchmark cosine
FUNCTION MODULATION sequence, cos (ωsTn it is) the discrete cosine function of reference frequency, sin (ωsTn it is) discrete sine of reference frequency
Function, U are public amplitude, and unit v, Ω are signal frequency ωiWith reference frequency ωsFrequency difference, T is sampling interval duration, and n is
Series of discrete number, 0.5 (N-1) are mixing sequence length.Its middle frequency difference Ω parts are useful component, frequency (ωi+ωs) be partly
It is mixed interference component.
For step S119, the filtering series of digital filtering is set, in one embodiment, rectangular window arithmetic can be passed through
Average value filtering algorithm carries out digital filtering to the real frequency mixing sequence and the empty frequency mixing sequence respectively.
In one embodiment, the filtering series of digital filtering could be arranged to 5 etc., and digital filter parameters are the unit cycle
1 times of sequence length, it is therefore an objective to which depth suppression is carried out to subharmonic mixing interfering frequency.Do not consider to be mixed interfering frequency, real frequency
Filtered sequence and imaginary frequency filtering sequence are expressed as formula (27)：
Wherein, RD(n) it is real frequency filtered sequence；ID(n) it is imaginary frequency filtering sequence；R (n) is mixed sequence for real frequency；I (n) is
Empty frequency mixing sequence；U is public amplitude, unit v；NDFor the filtering parameter of rectangular window arithmetic mean of instantaneous value filtering algorithm, i.e., to NDIt is individual
Continuous centrifugal pump is added, and then takes its arithmetic mean of instantaneous value to be exported as this filter value；T is sampling interval duration；N2πFor unit
Periodic sequence length；KD(Ω) is digital filtering in frequency difference Ω amplitude gain, unit dimensionless；α (Ω) is that digital filtering exists
Frequency difference Ω phase shift；M is digital filtering output sequence length；0.5 (N-1) is digital filtering list entries length；N is default sequence
Row length.
For step S120, in one embodiment, the digital filtering output sequence length is integration lengths, is obtained real
Frequency integrated value and empty frequency integrated value, are expressed as formula (28)：
Wherein, RDFor real frequency integrated value；IDFor empty frequency integrated value；RD(n) it is real frequency filtered sequence；ID(n) it is imaginary frequency filtering
Sequence；T is sampling interval duration, and M is integration lengths；NDFor the filtering parameter of rectangular window arithmetic mean of instantaneous value filtering algorithm；0.5
(N-1) it is digital filtering list entries length；N is predetermined sequence length.
For step S121, in one embodiment, the phase of zero initial phase benchmark cosine function modulation sequence, table are obtained
Up to for formula (29)：
Wherein, PH is the phase of zero initial phase benchmark cosine function modulation sequence, IDFor empty frequency integrated value, RDFor real frequency product
Score value, M are integration lengths；NDFor the filtering parameter of rectangular window arithmetic mean of instantaneous value filtering algorithm.
In one embodiment, according to the phase of zero initial phase benchmark cosine function modulation sequence, electric power signal frequency is obtained
Rate, it is expressed as formula (30)：
Wherein, ωiFor the frequency of electric power signal, PH is the phase of zero initial phase benchmark cosine function modulation sequence, and T is to adopt
Sample interval time, M are integration lengths, NDFor the filtering parameter of rectangular window arithmetic mean of instantaneous value filtering algorithm, ωsFor reference frequency.
Based on same inventive concept, the present invention also provides one kind and enters line frequency according to zero initial phase benchmark cosine function sequence
Measuring system, embodiments of systems of the invention are described in detail below in conjunction with the accompanying drawings.
As shown in figure 5, a kind of carry out frequency measuring system according to zero initial phase benchmark cosine function sequence, including：
Preliminary sequence length determination modul 101, for the lower limit according to frequency power signal scope, 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, obtain institute
State the preliminary sequence of electric power signal；
Reference frequency determining module 103, for entering line frequency preliminary survey to the preliminary sequence, obtain the electric power signal
Preliminary frequency, reference frequency is obtained 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, obtain pectination
Filtered sequence, wherein comb filtering sequence length are residue length of the preprocessing sequence after comb filtering processing is carried out；
Predetermined sequence length determination modul 108, for determining the comb filtering sequence length and the unit period sequence
The ratio integer of row length, predetermined sequence length is obtained 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
State the first anti-pleat sequence and obtain 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
State the second anti-pleat sequence and obtain 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, according to described and sequence and the cosine function value of the second average initial phase, obtains cosine function and adjust
Sequence processed；
Zero initial phase modulation sequence acquisition module 117, for being exported from the cosine function modulation sequence central point, obtain
Zero initial phase benchmark cosine function modulation sequence；
Be mixed sequence determining module 118, for by the zero initial phase benchmark cosine function modulation sequence respectively with reference
The discrete cosine function of frequency is multiplied and is multiplied with the discrete sine function of reference frequency, obtains real frequency mixing sequence and empty frequency is mixed
Sequence；
Filtered sequence determining module 119, for being carried out respectively to the real frequency mixing sequence and the empty frequency mixing sequence
Digital filtering, obtain real frequency filtered sequence and imaginary frequency filtering sequence；
Integrated value determining module 120, for being accumulated respectively to the real frequency filtered sequence and the imaginary frequency filtering sequence
Point, obtain real frequency integrated value and empty frequency integrated value；
Frequency power signal determining module 121, for according to the real frequency integrated value and empty frequency integrated value, obtaining zero first phase
The phase of position benchmark cosine function modulation sequence, the frequency of electric power signal is obtained according to the phase.
In one embodiment, the mixing sequence determining module 118 can be according to expression formula R (n)=X0cos(n)cos
(ωsTn real frequency mixing sequence R (n)) is obtained, wherein, X0cos(n) it is zero initial phase benchmark cosine function modulation sequence, cos (ωsTn it is) the discrete cosine function of reference frequency, ωsFor reference frequency, T is sampling interval duration, and n is series of discrete number,
The mixing sequence determining module 118 can be according to expression formula I (n)=X0cos(n)sin(ωsTn empty frequency) is obtained
Sequence I (n) is mixed, wherein, X0cos(n) it is zero initial phase benchmark cosine function modulation sequence, sin (ωsTn) it is reference frequency
Discrete sine function, ωsFor reference frequency, T is sampling interval duration, and n is series of discrete number,
In one embodiment, the filtered sequence determining module 119 can be calculated by rectangular window arithmetic average value filtering
Method carries out digital filtering to the real frequency mixing sequence and the empty frequency mixing sequence respectively.
In one embodiment, the frequency power signal determining module 121 can be according to expression formulaThe phase PH of zero initial phase benchmark cosine function modulation sequence is obtained, wherein, RDFor real frequency integrated value,
IDFor empty frequency integrated value.
In one embodiment, the frequency power signal determining module 121 can be according to expression formulaObtain the frequencies omega of electric power signali, wherein, PH is the modulation of zero initial phase benchmark cosine function
The phase of sequence, T are sampling interval duration, and M is integration lengths, NDJoin for the filtering of rectangular window arithmetic mean of instantaneous value filtering algorithm
Number, ωsFor reference frequency.
The other technical characteristics of present system are identical with the inventive method, 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
Apply 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 its description is more specific and detailed, but simultaneously
Can not therefore it be construed as limiting the scope of the patent.It should be pointed out that come for one of ordinary skill in the art
Say, 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 (10)
1. a kind of carry out frequency measurement method according to zero initial phase benchmark cosine function sequence, it is characterised 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；
Line frequency preliminary survey is entered to the preliminary sequence, obtains the preliminary frequency of the electric power signal, 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 is multiplied with the unit period sequence length, 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
Residue length of the preprocessing sequence after comb filtering processing is carried out；
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 length
Spend 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 is added with the described second anti-pleat sequence, obtained and sequence, by described and sequence and twice
The ratio of the cosine function value of described second average initial phase is as cosine function modulation sequence；
Exported from the cosine function modulation sequence central point, obtain zero initial phase benchmark cosine function modulation sequence；
The zero initial phase benchmark cosine function modulation sequence is multiplied and referred to the discrete cosine function of reference frequency respectively
The discrete sine function of frequency is multiplied, and obtains real frequency mixing sequence and empty frequency is mixed sequence；
Digital filtering is carried out to the real frequency mixing sequence and the empty frequency mixing sequence respectively, obtains real frequency filtered sequence and void
Frequency filtered sequence；
The real frequency filtered sequence and the imaginary frequency filtering sequence are integrated respectively, real frequency integrated value is obtained and empty frequency integrates
Value；
According to the real frequency integrated value and empty frequency integrated value, the phase of zero initial phase benchmark cosine function modulation sequence of acquisition, root
The frequency of electric power signal is obtained according to the phase.
2. according to claim 1 carry out frequency measurement method, its feature according to zero initial phase benchmark cosine function sequence
It is, according to expression formulaThe phase PH of zero initial phase benchmark cosine function modulation sequence is obtained, wherein,
RDFor real frequency integrated value, IDFor empty frequency integrated value.
3. according to claim 1 carry out frequency measurement method, its feature according to zero initial phase benchmark cosine function sequence
It is, the real frequency mixing sequence and the empty frequency mixing sequence is carried out respectively by rectangular window arithmetic mean of instantaneous value filtering algorithm
Digital filtering.
4. according to claim 3 carry out frequency measurement method, its feature according to zero initial phase benchmark cosine function sequence
It is, according to expression formulaObtain the frequencies omega of electric power signali, wherein, PH is zero initial phase base
The phase of quasi- cosine function modulation sequence, T are sampling interval duration, and M is integration lengths, NDFor rectangular window arithmetic average value filtering
The filtering parameter of algorithm, ωsFor reference frequency.
5. frequency measurement is carried out according to zero initial phase benchmark cosine function sequence according to Claims 1-4 any one
Method, it is characterised in that：
According to expression formula R (n)=X0cos(n)cos(ωsTn real frequency mixing sequence R (n)) is obtained, wherein, X0cos(n) it is zero first phase
Position benchmark cosine function modulation sequence, cos (ωsTn it is) the discrete cosine function of reference frequency, ωsFor reference frequency, T is to adopt
Sample interval time, n are series of discrete number,
According to expression formula I (n)=X0cos(n)sin(ωsTn empty frequency mixing sequence I (n)) is obtained, wherein, X0cos(n) it is zero first phase
Position benchmark cosine function modulation sequence, sin (ωsTn it is) discrete sine function of reference frequency, ωsFor reference frequency, T is to adopt
Sample interval time, n are series of discrete number,
6. a kind of carry out frequency measuring system according to zero initial phase benchmark cosine function sequence, it is characterised in that including：
Preliminary sequence length determination modul, for the lower limit according to frequency power signal scope, preset sample frequency and preset whole
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, obtain the electric power
The preliminary sequence of signal；
Reference frequency determining module, for entering line frequency preliminary survey to the preliminary sequence, obtain the first cadence of the electric power signal
Rate, reference frequency is obtained 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, obtain comb filtering sequence
Row, wherein comb filtering sequence length is residue length of the preprocessing sequence after comb filtering processing is carried out；
Predetermined sequence length determination modul, for determining the comb filtering sequence length and the unit period sequence length
Ratio integer, predetermined sequence length is obtained 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, for according to the predetermined sequence length and default starting point, from the comb filtering sequence
The first positive sequence of middle acquisition, 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, obtain
Arrive and sequence, using the ratio of described and sequence and the cosine function value of twice of the described second average initial phase as cosine function
Modulation sequence；
Zero initial phase modulation sequence acquisition module, for being exported from the cosine function modulation sequence central point, obtain zero first phase
Position benchmark cosine function modulation sequence；
Be mixed sequence determining module, for by the zero initial phase benchmark cosine function modulation sequence respectively with reference frequency from
Dissipate cosine function and be multiplied and be multiplied with the discrete sine function of reference frequency, obtain real frequency mixing sequence and empty frequency is mixed sequence；
Filtered sequence determining module, for carrying out digital filter to the real frequency mixing sequence and the empty frequency mixing sequence respectively
Ripple, obtain real frequency filtered sequence and imaginary frequency filtering sequence；
Integrated value determining module, for being integrated respectively to the real frequency filtered sequence and the imaginary frequency filtering sequence, obtain
Real frequency integrated value and empty frequency integrated value；
Frequency power signal determining module, for according to the real frequency integrated value and empty frequency integrated value, obtaining zero initial phase benchmark
The phase of cosine function modulation sequence, the frequency of electric power signal is obtained according to the phase.
7. according to claim 6 carry out frequency measuring system, its feature according to zero initial phase benchmark cosine function sequence
It is, the frequency power signal determining module is according to expression formulaObtain zero initial phase benchmark cosine letter
The phase PH of number modulation sequence, wherein, RDFor real frequency integrated value, IDFor empty frequency integrated value.
8. according to claim 6 carry out frequency measuring system, its feature according to zero initial phase benchmark cosine function sequence
Be, the filtered sequence determining module by rectangular window arithmetic mean of instantaneous value filtering algorithm respectively to the real frequency mixing sequence and
The empty frequency mixing sequence carries out digital filtering.
9. according to claim 8 carry out frequency measuring system, its feature according to zero initial phase benchmark cosine function sequence
It is, the frequency power signal determining module is according to expression formulaObtain the frequency of electric power signal
Rate ωi, wherein, PH is the phase of zero initial phase benchmark cosine function modulation sequence, and T is sampling interval duration, and M grows for integration
Degree, NDFor the filtering parameter of rectangular window arithmetic mean of instantaneous value filtering algorithm, ωsFor reference frequency.
10. frequency measurement is carried out according to zero initial phase benchmark cosine function sequence according to claim 6 to 9 any one
System, it is characterised in that：
The mixing sequence determining module is according to expression formula R (n)=X0cos(n)cos(ωsTn real frequency mixing sequence R (n)) is obtained,
Wherein, X0cos(n) it is zero initial phase benchmark cosine function modulation sequence, cos (ωsTn it is) the discrete cosine letter of reference frequency
Number, ωsFor reference frequency, T is sampling interval duration, and n is series of discrete number,
The mixing sequence determining module is according to expression formula I (n)=X0cos(n)sin(ωsTn empty frequency mixing sequence I (n)) is obtained,
Wherein, X0cos(n) it is zero initial phase benchmark cosine function modulation sequence, sin (ωsTn it is) the discrete sine letter of reference frequency
Number, ωsFor reference frequency, T is sampling interval duration, and n is series of discrete number,
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