CN105548699B - Obtain the method and system of the raising frequency reference SIN function sequence of electric power signal - Google Patents

Obtain the method and system of the raising frequency reference SIN function sequence of electric power signal Download PDF

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CN105548699B
CN105548699B CN201510890828.3A CN201510890828A CN105548699B CN 105548699 B CN105548699 B CN 105548699B CN 201510890828 A CN201510890828 A CN 201510890828A CN 105548699 B CN105548699 B CN 105548699B
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sequence
electric power
power signal
frequency
initial phase
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CN105548699A (en
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罗嘉
李军
潘凤萍
叶向前
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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
    • G01R23/16—Spectrum analysis; Fourier analysis
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    • G01R23/167—Spectrum analysis; Fourier analysis using filters with digital filters

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Abstract

The invention discloses a kind of method and system for the raising frequency reference SIN function sequence for obtaining electric power signal, methods described includes：Obtain electric power signal preliminary sequence length and preliminary sequence；Enter line frequency preliminary survey to preliminary sequence, set reference frequency；Electric power signal unit period sequence length and predetermined sequence length are obtained, further obtains first positive/anti-pleat sequence；Averagely initial phase is obtained for the first time according to first positive/anti-pleat sequence；Further according to first averagely initial phase and the first phase fiducial value of ± π/4 and new starting point obtain again positive/anti-pleat sequence, be averaged initial phase again；According to positive/anti-pleat sequence again, be averaged initial phase again, obtain zero initial phase benchmark it is remaining/SIN function modulation sequence, first/second multiplication sequence is further obtained, is finally obtained according to first/second multiplication sequence and puies forward the high-frequency zero initial phase reference sinusoidal sequence of function.The present invention improves the degree of accuracy that sine parameter calculates, and is adapted to application.

Description

Obtain the method and system of the raising frequency reference SIN function sequence of electric power signal
Technical field
The present invention relates to technical field of electric power, more particularly to a kind of raising frequency reference sine letter for obtaining electric power signal The method and system of Number Sequence.
Background technology
The frequency measurement of power system, phase measurement, amplitude measurement etc. are the measurement of sine parameter in itself.Quickly Fourier transformation and discrete Fourier transform are to realize the basic skills of sine parameter measurement, widely should be had in power system With.But the above method blocks in the non-integer of signal sampling process, cause spectrum leakage, and spectrum leakage can produce phase The error answered.
In terms of power system sine parameter measurement, there are many measuring methods, repaiied such as adding window mouth functional based method, using interpolation Correction method etc., reduce the influence of spectrum leakage problem.But above-mentioned measuring method measurement accuracy is low, it is being not suitable for high accuracy just The measurement of string parameter.
The content of the invention
Based on the above situation, the present invention proposes a kind of raising frequency reference SIN function sequence for obtaining electric power signal Method and system, improve the degree of accuracy of sine parameter measurement.
To achieve these goals, the embodiment of technical solution of the present invention is：
A kind of method for the raising frequency reference SIN function sequence for obtaining electric power signal, comprises the following steps：
According to the lower limit of frequency power signal scope, preset sample frequency and default integer signal period number, described in acquisition The preliminary sequence length of electric power signal；
The electric power signal is sampled according to the preliminary sequence length, obtains the preliminary sequence of the electric power signal Row；
Line frequency preliminary survey is entered to the preliminary sequence, generates the preliminary frequency of the electric power signal, and according to described preliminary The reference frequency of electric power signal described in frequency setting；
According to the preset sample frequency and the reference frequency, the unit period sequence for obtaining the electric power signal is grown Degree；
According to the default integer signal period number and the unit period sequence length, the pre- of the electric power signal is obtained If sequence length, the predetermined sequence length is odd number；
According to default starting point and the predetermined sequence length, the first of the electric power signal is obtained from the preliminary sequence Secondary positive sequence；
The first anti-pleat sequence of the electric power signal is obtained according to the first positive sequence；
The first positive phase of the electric power signal is obtained according to the first positive sequence, and according to the first anti-pleat sequence Row obtain the first antiphase of the electric power signal；
The initial phase that is averaged for the first time of the electric power signal is obtained according to the first positive phase and the first antiphase；
By the averagely initial phase for the first time compared with ± π/4, the first phase bit comparison compared with ± π/4 is obtained Value, and according to the first phase fiducial value and the default starting point, obtain new starting point；
According to the new starting point and the predetermined sequence length, the electric power signal is obtained from the preliminary sequence Positive sequence again, and according to the pleat sequence anti-again of the positive sequence acquisition again electric power signal；
The positive phase again of the electric power signal is obtained according to the sequence positive again, and according to the pleat sequence anti-again Row obtain the antiphase again of the electric power signal；
The initial phase that is averaged again of the electric power signal is obtained according to the positive phase again and the antiphase again；
Will described in again positive sequence be added with the pleat sequence anti-again, and according to the result after addition and it is described again Average initial phase, obtain the cosine function modulation sequence of the electric power signal；
The sequence positive again and the pleat sequence anti-again are subtracted each other, and according to the result after subtracting each other and it is described again Average initial phase, obtain the SIN function modulation sequence of the electric power signal；
Exported from the cosine function modulation sequence central point, obtain zero initial phase benchmark cosine letter of the electric power signal Number modulation sequence；Exported from the SIN function modulation sequence central point, obtaining zero initial phase benchmark of the electric power signal just String FUNCTION MODULATION sequence；
The discrete sine function of default fine setting frequency is multiplied with the zero initial phase benchmark cosine function modulation sequence and obtained The first multiplication sequence of the electric power signal is obtained, by the discrete cosine function of the default fine setting frequency and the zero initial phase base Quasi sinusoids modulation sequence, which is multiplied, obtains the second multiplication sequence of the electric power signal；
First multiplication sequence is added with second multiplication sequence, it is high-frequency to obtain carrying for the electric power signal The zero initial phase reference sinusoidal sequence of function.
A kind of system for the raising frequency reference SIN function sequence for obtaining electric power signal, including：
Preliminary sequence length modules, for the lower limit according to frequency power signal scope, preset sample frequency and preset whole Number signal period number, obtain the preliminary sequence length of the electric power signal；
Preliminary sequence module, for being sampled according to the preliminary sequence length to the electric power signal, described in acquisition The preliminary sequence of electric power signal；
Frequency preliminary survey module, for entering line frequency preliminary survey to the preliminary sequence, generate the first cadence of the electric power signal Rate, and according to the reference frequency of the preliminary frequency setting electric power signal；
Unit period sequence length module, for according to the preset sample frequency and the reference frequency, described in acquisition The unit period sequence length of electric power signal；
Predetermined sequence length modules, for according to the default integer signal period number and unit period sequence length Degree, obtains the predetermined sequence length of the electric power signal, the predetermined sequence length is odd number；
First positive block, for the default starting point of basis and the predetermined sequence length, from the preliminary sequence The middle first positive sequence for obtaining the electric power signal；
First anti-pleat block, for obtaining the first anti-pleat sequence of the electric power signal according to the first positive sequence Row；
First phase module, for obtaining the first positive phase of the electric power signal according to the first positive sequence, and The first antiphase of the electric power signal is obtained according to the first anti-pleat sequence；
Be averaged initial phase module for the first time, for obtaining the electric power according to the first positive phase and the first antiphase The initial phase that is averaged for the first time of signal；
Phase bits comparison module, for the averagely initial phase for the first time compared with ± π/4, to be obtained and ± π/4 The first phase fiducial value compared, and according to the first phase fiducial value and the default starting point, obtain new starting point；
Block again, for according to the new starting point and the predetermined sequence length, from the preliminary sequence The sequence positive again of the electric power signal is obtained, and the anti-again of the electric power signal is obtained according to the sequence positive again Pleat sequence；
Phase module again, for the positive phase again according to the positive sequence acquisition again electric power signal, and The antiphase again of the electric power signal is obtained according to the pleat sequence anti-again；
Be averaged initial phase module again, for positive phase and the antiphase again to obtain the electric power again according to The initial phase that is averaged again of signal；
Cosine function modulation sequence module, for will described in again positive sequence be added with the pleat sequence anti-again, and According to the result after addition and the initial phase that is averaged again, the cosine function modulation sequence of the electric power signal is obtained；
SIN function modulation sequence module, for the sequence positive again and the pleat sequence anti-again to be subtracted each other, and According to the result after subtracting each other and the initial phase that is averaged again, the SIN function modulation sequence of the electric power signal is obtained；
Reference function modulation sequence module, for being exported from the cosine function modulation sequence central point, obtain the electricity Zero initial phase benchmark cosine function modulation sequence of force signal；Exported from the SIN function modulation sequence central point, obtain institute State zero initial phase reference sinusoidal FUNCTION MODULATION sequence of electric power signal；
Multiplication sequence module, for by discrete sine function and the zero initial phase benchmark cosine letter of default fine setting frequency Number modulation sequence, which is multiplied, obtains the first multiplication sequence of the electric power signal, by the discrete cosine function of the default fine setting frequency It is multiplied with the zero initial phase reference sinusoidal FUNCTION MODULATION sequence and obtains the second multiplication sequence of the electric power signal；
Frequency reference SIN function block is improved, for by first multiplication sequence and second multiplication sequence It is added, obtain the electric power signal puies forward the high-frequency zero initial phase reference sinusoidal sequence of function.
Compared with prior art, beneficial effects of the present invention are：The present invention is obtaining the raising frequency reference of electric power signal just The method and system of the string sequence of function, according to the lower limit of frequency power signal scope, preset sample frequency and preliminary design integer signal Periodicity, preliminary sequence length is obtained, and electric power signal is tentatively sampled, obtain preliminary sequence；Preliminary sequence is carried out Frequency preliminary survey, preliminary frequency is generated, set reference frequency；According to preset sample frequency and reference frequency, unit period sequence is obtained Row length；According to default integer signal period number and unit period sequence length, predetermined sequence length is obtained；From preliminary sequence First positive sequence is obtained, further obtains first anti-pleat sequence；Obtained according to first positive sequence, first anti-pleat sequence first Positive phase, first antiphase, further obtain for the first time averagely initial phase；First phase fiducial value is obtained compared with ± π/4, Further obtain new starting point；According to new starting point and predetermined sequence length, positive sequence, again anti-pleat sequence again are obtained, Further obtain again positive phase, again antiphase, again be averaged initial phase；According to positive phase again, again antiphase, again Average initial phase obtains cosine function modulation sequence, SIN function modulation sequence；Exported from cosine function modulation sequence central point, Zero initial phase benchmark cosine function modulation sequence is obtained, is exported from SIN function modulation sequence central point, obtains zero initial phase base Quasi sinusoids modulation sequence；According to default fine setting frequency, zero initial phase benchmark cosine function modulation sequence, zero initial phase benchmark SIN function modulation sequence obtains and puies forward the high-frequency zero initial phase reference sinusoidal sequence of function, by the fundamental wave for improving signal sequence It frequency, can be achieved to block the number of cycles of fundamental signal, with the amplitude maximum of fundamental wave component in electric power signal, solve fundamental wave letter Number number of cycles truncated problem, improve sine parameter calculating the degree of accuracy, be adapted to practical application.
Brief description of the drawings
Fig. 1 is the method flow diagram for the raising frequency reference SIN function sequence that electric power signal is obtained in one embodiment；
Fig. 2 is first positive sequence and first anti-pleat sequence diagram in one embodiment；
Fig. 3 is zero initial phase datum mark schematic diagram in one embodiment；
Fig. 4 is the system architecture signal for the raising frequency reference SIN function sequence that electric power signal is obtained in one embodiment Figure.
Embodiment
In order that the object, technical solutions and advantages of the present invention are clearer, the present invention is made below in conjunction with accompanying drawing into One step it is described in detail.
Although the step in the present invention is arranged with label, it is not used to limit the precedence of step, unless It specify that the order of step or based on the execution of certain step needs other steps, otherwise the relative rank of step is It is adjustable.
The method that the raising frequency reference SIN function sequence of electric power signal is obtained in one embodiment, as shown in figure 1, bag Include following steps：
Step S101：According to the lower limit of frequency power signal scope, preset sample frequency and default integer signal period number, Obtain the preliminary sequence length of the electric power signal；
Step S102：The electric power signal is sampled according to the preliminary sequence length, obtains the electric power signal Preliminary sequence；
Step S103：Line frequency preliminary survey is entered to the preliminary sequence, generates the preliminary frequency of the electric power signal, and according to The preliminary frequency sets the reference frequency of the electric power signal；
Step S104：According to the preset sample frequency and the reference frequency, the unit for obtaining the electric power signal is all Phase sequence length；
Step S105：According to the default integer signal period number and the unit period sequence length, the electricity is obtained The predetermined sequence length of force signal, the predetermined sequence length are odd number；
Step S106：According to default starting point and the predetermined sequence length, the electricity is obtained from the preliminary sequence The first positive sequence of force signal；
Step S107：The first anti-pleat sequence of the electric power signal is obtained according to the first positive sequence；
Step S108：The first positive phase of the electric power signal is obtained according to the first positive sequence, and according to described First anti-pleat sequence obtains the first antiphase of the electric power signal；
Step S109：The first average of the electric power signal is obtained according to the first positive phase and the first antiphase Initial phase；
Step S110：By the averagely initial phase for the first time compared with ± π/4, obtain first compared with ± π/4 Secondary phase fiducial value, and according to the first phase fiducial value and the default starting point, obtain new starting point；
Step S111：According to the new starting point and the predetermined sequence length, obtained from the preliminary sequence described The sequence positive again of electric power signal, and according to the pleat sequence anti-again of the positive sequence acquisition again electric power signal；
Step S112：The positive phase again of the electric power signal is obtained according to the sequence positive again, and according to described Anti- pleat sequence obtains the antiphase again of the electric power signal again；
Step S113：The average again of the electric power signal is obtained according to the positive phase again and the antiphase again Initial phase；
Step S114：Positive sequence is added with the pleat sequence anti-again again by described in, and according to the result after addition With the initial phase that is averaged again, the cosine function modulation sequence of the electric power signal is obtained；
Step S115：The sequence positive again and the pleat sequence anti-again are subtracted each other, and according to the result after subtracting each other With the initial phase that is averaged again, the SIN function modulation sequence of the electric power signal is obtained；
Step S116：Exported from the cosine function modulation sequence central point, obtain zero initial phase of the electric power signal Benchmark cosine function modulation sequence；Exported from the SIN function modulation sequence central point, at the beginning of obtain the electric power signal zero Phase reference SIN function modulation sequence；
Step S117：By the discrete sine function of default fine setting frequency and zero initial phase benchmark cosine function modulation sequence Row, which are multiplied, obtains the first multiplication sequence of the electric power signal, by the discrete cosine function and described zero of the default fine setting frequency Initial phase reference sinusoidal FUNCTION MODULATION sequence, which is multiplied, obtains the second multiplication sequence of the electric power signal；
Step S118：First multiplication sequence is added with second multiplication sequence, obtains the electric power signal Put forward the high-frequency zero initial phase reference sinusoidal sequence of function.
It is evidenced from the above discussion that the present invention, which obtains, puies forward the high-frequency zero initial phase reference sinusoidal sequence of function, improve sinusoidal The degree of accuracy that parameter calculates, actual application value are high.
Wherein, the electric power signal is the sinusoidal signal based on a kind of fundamental wave component.Sinusoidal signal extensively refers to SIN function letter Number and cosine function signal.
In one embodiment, power system frequency scope is in 45Hz-55Hz, power taking force signal lower-frequency limit fminFor 45Hz；According to being actually needed, the default integer signal period number C is set2π, in one embodiment, take C2πFor 13.
In one embodiment, for step S101, it is formula (1) to obtain the preliminary sequence length：
In formula, 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.
In one embodiment, the electric power signal is the cosine function signal of single fundamental frequency, for step S102, is obtained The preliminary sequence for obtaining the electric power signal is formula (2)：
Wherein, Xstart(n) it is the preliminary sequence；A is signal amplitude, unit v；ωiFor signal frequency, T is between sampling Every the time, f is preset sample frequency, and unit Hz, n are series of discrete number,For preliminary sequence initial phase, NstartFor preliminary sequence Length.
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 at the beginning of entering line frequency to the preliminary sequence based on the frequency algorithm of phase difference Survey, obtain the preliminary frequency.
In one embodiment, it is formula (3) to generate the preliminary frequency：
ωo(3)；
Wherein, ωoFor preliminary frequency；
Preferably, the reference frequency is formula (4) equal to the preliminary frequency：
ωs=ωo(4)；
Wherein, ωsFor reference frequency, ωoFor preliminary frequency.
In one embodiment, for step S104, the unit period sequence length for obtaining the electric power signal is formula (5)：
In formula, N2πFor the unit period 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.
In one embodiment, for step S105, it is formula (6) to obtain the predetermined sequence length：
Wherein, N is predetermined sequence length, and (int) is round numbers, N2πFor the unit period sequence length, C2πIt is default Integer signal period number.
In one embodiment, 0.5 times that starting point is the unit period sequence length is preset；
In one embodiment, for step S106, it is formula (7) to obtain the first positive sequence：
Wherein, Xstart(n) it is preliminary sequence, X+start(n) it is first positive sequence, PstartDefault starting point, N2πFor institute Unit period sequence length is stated, (int) is round numbers, and A is signal amplitude, unit v, ωiFor signal frequency, T is the sampling interval Time, n are series of discrete number,For first positive sequence initial phase, N predetermined sequence length.First positive sequence pattern table Reach, shown in Fig. 2.
In one embodiment, for step S107, it is formula (8) to obtain first anti-pleat sequence：
Wherein, X-start(- n) is first anti-pleat sequence, X+start(n) it is 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 first anti-pleat sequence initial phase, and N presets sequence Row length.The avatars of the first anti-pleat sequence, as shown in Figure 2.
In one embodiment, first positive phase and first antiphase are the results based on orthogonal mixing and integral and calculating, When not considering the mixing interfering frequency of orthogonal mixing, orthogonal mixing is expressed as formula (9), and integral and calculating is expressed as formula (10)：
Wherein, R+start(n) it is first positive real frequency mixing sequence, I+start(n) sequence, R are mixed for first weakened body resistance frequency-start (- n) is that first anti-real frequency is mixed sequence, I-start(- n) is that 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, ωiFor signal frequency, T is sampling interval duration, and n is series of discrete number, For first positive sequence initial phase, β 1 is first anti-pleat sequence initial phase, and N is predetermined sequence length.
In formula, R+startFirst just real frequency integrated value, unit dimensionless, I+startFor first weakened body resistance frequency integrated value, unit without Dimension, R-startFor first anti-real frequency integrated value, unit dimensionless, I-startIt is immeasurable for first anti-empty frequency mixing integrated value, unit Guiding principle, 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 Row length,For first positive sequence initial phase, β 1 is first anti-pleat sequence initial phase.
In one embodiment, for step S108, the expression formula for obtaining first positive phase and first antiphase is (11)：
In formula, PH+startFor first positive phase, PH-startFor first antiphase, R+startFirst just real frequency integrated value, unit Dimensionless, I+startFor first weakened body resistance frequency integrated value, unit dimensionless, R-startFor first anti-real frequency integrated value, unit dimensionless, I-startFor first anti-empty frequency mixing integrated value, unit dimensionless, Ω is signal frequency ωiWith reference frequency ωsFrequency difference, T is Sampling interval duration, N are predetermined sequence length,For first positive sequence initial phase, β 1 is first anti-pleat sequence initial phase.
In one embodiment, for step S109, the expression formula for obtaining first averagely initial phase is (12)：
In formula, PHstart-avgFor the initial phase that is averaged for the first time, PH+startFor first positive phase, PH-startFor first antiphase,For first positive sequence initial phase, β 1 is first anti-pleat sequence initial phase.
In one embodiment, for step S110, by initial phase and the PH of being averaged for the first timestart-avgCarried out with ± π/4 Compare for formula (13)：
In formula, Δ PHcomFor first phase fiducial value, unit rad, PHstart-avgFor the initial phase that is averaged for the first time.
In one embodiment, it is formula (14) to obtain the new starting point：
In formula, PnewFor new starting point, unit dimensionless, PstartTo preset starting point, Δ PHcomFor first phase bit comparison Value, unit rad, N2πFor unit periodic sequence length, (int) is round numbers.
In one embodiment, for step S111, positive sequence and anti-pleat sequence is formula (15) again again：
In formula, X+end(n) it is positive sequence again, X-end(- n) is anti-pleat sequence again, PnewFor new starting point, unit without Dimension,For positive sequence initial phase again, β 2 is anti-pleat sequence initial phase again, ωiFor signal frequency, T is the sampling interval Time, n are series of discrete number, and N is predetermined sequence length.
In one embodiment, again positive phase and again antiphase be based on it is orthogonal mixing and digital filtering calculate knot Fruit.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 (16), and the 6 of 2 kinds of filtering parameters Level rectangular window arithmetic mean filter filtering calculation expression is formula (17)：
In formula, R+end(n) it is positive real frequency mixing sequence again, I+end(n) sequence, R are mixed for weakened body resistance frequency again-end(-n) For anti-real frequency mixing sequence again, I-end(- n) is mixed sequence, cos (ω for anti-empty frequency agains) 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, Ω is signal Frequencies omegaiWith reference frequency ωsFrequency difference, ωiFor signal frequency, T is sampling interval duration, and n is series of discrete number,For again Secondary positive sequence initial phase, β 2 is anti-pleat sequence initial phase, N are predetermined sequence length again.
In formula, R+endFor just real frequency digital filtering final value again, unit dimensionless；I+endFor weakened body resistance frequency digital filtering again Final value, unit dimensionless；R-endFor anti-digital filtering final value again, unit dimensionless；I-endIt is whole for anti-empty frequency digital filtering again Value, unit dimensionless；Ω is signal frequency ωiWith reference frequency ωsFrequency difference；K (Ω) is amplitude of the digital filtering in frequency difference Ω Gain, unit dimensionless；T is sampling interval duration；For positive sequence initial phase again；β 2 is anti-pleat sequence first phase again Position；ND1For filtering parameter 1, i.e., to ND1Individual continuous centrifugal pump is added, and then takes its arithmetic mean of instantaneous value defeated as this filter value Go out；ND2For filtering parameter 2, i.e., to ND2Individual continuous centrifugal pump is added, and then takes its arithmetic mean of instantaneous value defeated as this filter value Go out；NDSequence length is used for digital filtering, is the summation of 6 grades of rectangular window arithmetic mean filter filtering parameters in quantity, it is small In 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 ND2Expression formula is formula (18)：
In formula, 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, for step S112, positive phase and antiphase expression formula is (19) again again：
In formula, PH+endFor positive phase again, PH-endFor antiphase again, R+endFor just real frequency integrated value again, unit without Dimension, I+endFor weakened body resistance frequency integrated value again, unit dimensionless, R-endFor anti-real frequency integrated value again, unit dimensionless, I-end For anti-empty frequency mixing integrated value again, 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 positive sequence initial phase again, β 2 is anti-pleat sequence first phase again Position.
In one embodiment, for step S113, the expression formula for obtaining the initial phase that is averaged again is (20)：
In formula, PHend-avgFor the initial phase that is averaged again, PH+endFor positive phase again, PH-endFor antiphase again,For Positive sequence initial phase again, β 2 are anti-pleat sequence initial phase again.
In one embodiment, for step S114, it is (21) to obtain cosine function modulation sequence expression formula：
In formula, Xcos(n) it is cosine function modulation sequence；A is cosine function modulation sequence amplitude, unit v；For cosine function modulation sequence initial phase, ωiFor signal frequency, T is sampling interval duration, and n is series of discrete Number, N is predetermined sequence length,For positive sequence initial phase again, β 2 is anti-pleat sequence initial phase again.
In one embodiment, for step S115, it is (22) to obtain SIN function modulation sequence expression formula：
In formula, Xsin(n) it is SIN function modulation sequence, A is SIN function modulation sequence amplitude, unit v,For cosine function modulation sequence initial phase, ωiFor signal frequency, T is sampling interval duration, and n is series of discrete Number, N is predetermined sequence length,For positive sequence initial phase again, β 2 is anti-pleat sequence initial phase again.
In one embodiment, for step S116, obtaining zero initial phase benchmark cosine function modulation sequence expression formula is (23)：
In formula, X0cos(n) it is zero initial phase benchmark cosine function modulation sequence, A is cosine function modulation sequence amplitude, list Position v, ωiSignal frequency, T are sampling interval duration, and n is series of discrete number, and N is predetermined sequence length.
In one embodiment, for step S116, obtaining zero initial phase reference sinusoidal FUNCTION MODULATION sequence expression formula is (24)：
In formula, X0sin(n) it is zero initial phase reference sinusoidal FUNCTION MODULATION sequence, A is cosine function modulation sequence amplitude, list Position v, ωiSignal frequency, T are sampling interval duration, and n is series of discrete number, and N is predetermined sequence length.Zero initial phase datum mark Avatars, shown in Fig. 3.
In one embodiment, the default frequency of finely tuning is the arithmetic number less than or equal to actual signal frequency 1%, unit Rad/s, it is expressed as formula (25)：
In formula, ΩsetTo finely tune frequency, unit rad/s, Ωset≤0.01ωi。
For step S117, the discrete sine function of the fine setting frequency is adjusted with the zero initial phase benchmark cosine function It is formula (26) that sequence multiplication processed, which obtains the first multiplication sequence,：
For step S117, the discrete cosine function of the fine setting frequency is adjusted with the zero initial phase reference sinusoidal function It is formula (27) that sequence multiplication processed, which obtains the second multiplication sequence,：
In formula, X1 (n) is the first multiplication sequence, and X2 (n) is the second multiplication sequence, sin (ΩsetTn it is) the fine setting frequency The discrete sine function of rate, cos (ΩsetTn it is) the discrete cosine function of the fine setting frequency.
In one embodiment, put forward the high-frequency zero initial phase reference sinusoidal sequence of function for step S118, acquisition and be Formula (28)：
In formula, X0sin+f(n) to put forward the high-frequency zero initial phase reference sinusoidal sequence of function, sequence frequency improves Ωset。
The system that the raising frequency reference SIN function sequence of electric power signal is obtained in one embodiment, as shown in figure 4, bag Include：
Preliminary sequence length modules 401, for the lower limit according to frequency power signal scope, preset sample frequency and preset Integer signal period number, obtain the preliminary sequence length of the electric power signal；
Preliminary sequence module 402, for being sampled according to the preliminary sequence length to the electric power signal, obtain institute State the preliminary sequence of electric power signal；
Frequency preliminary survey module 403, for entering line frequency preliminary survey to the preliminary sequence, generate the preliminary of the electric power signal Frequency, and according to the reference frequency of the preliminary frequency setting electric power signal；
Unit period sequence length module 404, for according to the preset sample frequency and the reference frequency, obtaining institute State the unit period sequence length of electric power signal；
Predetermined sequence length modules 405, for according to the default integer signal period number and the unit period sequence Length, obtains the predetermined sequence length of the electric power signal, and the predetermined sequence length is odd number；
First positive block 406, for the default starting point of basis and the predetermined sequence length, from the preliminary sequence The first positive sequence of the electric power signal is obtained in row；
First anti-pleat block 407, for obtaining the first anti-of the electric power signal according to the first positive sequence Pleat sequence；
First phase module 408, for obtaining the first positive phase of the electric power signal according to the first positive sequence, And the first antiphase of the electric power signal is obtained according to the first anti-pleat sequence；
Be averaged initial phase module 409 for the first time, described in being obtained according to the first positive phase and the first antiphase The initial phase that is averaged for the first time of electric power signal；
Phase bits comparison module 410, for by it is described for the first time averagely initial phase with ± π/4 compared with, obtain and it is described ± The first phase fiducial value that π/4 are compared, and according to the first phase fiducial value and the default starting point, obtain new starting Point；
Block 411 again, for according to the new starting point and the predetermined sequence length, from the preliminary sequence The middle sequence positive again for obtaining the electric power signal, and the electric power signal is obtained again according to the sequence positive again Anti- pleat sequence；
Phase module 412 again, for the positive phase again according to the positive sequence acquisition again electric power signal, And the antiphase again of the electric power signal is obtained according to the pleat sequence anti-again；
Be averaged initial phase module 413 again, described in positive phase and the antiphase again obtain again according to The initial phase that is averaged again of electric power signal；
Cosine function modulation sequence module 414, for will described in again positive sequence be added with the pleat sequence anti-again, And according to the result after addition and the initial phase that is averaged again, obtain the cosine function modulation sequence of the electric power signal；
SIN function modulation sequence module 415, for the sequence positive again and the pleat sequence anti-again to be subtracted each other, And according to the result after subtracting each other and the initial phase that is averaged again, obtain the SIN function modulation sequence of the electric power signal；
Reference function modulation sequence module 416, for being exported from the cosine function modulation sequence central point, described in acquisition Zero initial phase benchmark cosine function modulation sequence of electric power signal；Export, obtain from the SIN function modulation sequence central point Zero initial phase reference sinusoidal FUNCTION MODULATION sequence of the electric power signal；
Multiplication sequence module 417, for by more than discrete sine function and the zero initial phase benchmark of default fine setting frequency String FUNCTION MODULATION sequence, which is multiplied, obtains the first multiplication sequence of the electric power signal, by the discrete cosine of the default fine setting frequency Function is multiplied with the zero initial phase reference sinusoidal FUNCTION MODULATION sequence obtains the second multiplication sequence of the electric power signal；
Frequency reference SIN function block 418 is improved, for by first multiplication sequence and second multiplication Sequence is added, and obtain the electric power signal puies forward the high-frequency zero initial phase reference sinusoidal sequence of function.
It is evidenced from the above discussion that the present invention, which obtains, puies forward the high-frequency zero initial phase reference sinusoidal sequence of function, improve sinusoidal The degree of accuracy that parameter calculates, meets to be actually needed.
Wherein, the electric power signal is the sinusoidal signal based on a kind of fundamental wave component.Sinusoidal signal extensively refers to SIN function letter Number and cosine function signal.
In one embodiment, power system frequency scope is in 45Hz-55Hz, power taking force signal lower-frequency limit fminFor 45Hz；According to being actually needed, the default integer signal period number C is set2π, in one embodiment, take C2πFor 13.
In one embodiment, it is formula (1) that preliminary sequence length modules 401, which obtain the preliminary sequence length,：
In formula, 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.
In one embodiment, the electric power signal be single fundamental frequency cosine function signal, preliminary sequence module 402 The preliminary sequence for obtaining the electric power signal is formula (2)：
Wherein, Xstart(n) it is the preliminary sequence；A is signal amplitude, unit v；ωiFor signal frequency, T is between sampling Every the time, f is preset sample frequency, and unit Hz, n are series of discrete number,For preliminary sequence initial phase, NstartFor preliminary sequence Length.
Frequency preliminary survey module 403 can by zero hand over method, the algorithm based on filtering, based on Wavelet Transformation Algorithm, based on nerve The algorithm of network, the frequency algorithm based on DFT transform enter line frequency based on the frequency algorithm of phase difference to the preliminary sequence Preliminary survey, obtain the preliminary frequency.
In one embodiment, it is formula (3) to generate the preliminary frequency：
ωo(3)；
Wherein, ωoFor preliminary frequency；
Preferably, the reference frequency is formula (4) equal to the preliminary frequency：
ωs=ωo(4)；
Wherein, ωsFor reference frequency, ωoFor preliminary frequency.
In one embodiment, unit period sequence length module 404 obtains the unit period sequence of the electric power signal Length is formula (5)：
In formula, N2πFor the unit period 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 unit period sequence length integer.
In one embodiment, it is formula (6) that predetermined sequence length modules 405, which obtain the predetermined sequence length,：
Wherein, N is predetermined sequence length, and (int) is round numbers, N2πFor the unit period sequence length, C2πIt is default Integer signal period number.
In one embodiment, 0.5 times that starting point is the unit period sequence length is preset；
In one embodiment, it is formula (7) that first positive block 406, which obtains the first positive sequence,：
Wherein, Xstart(n) it is preliminary sequence, X+start(n) it is first positive sequence, PstartDefault starting point, N2πFor institute Unit period sequence length is stated, (int) is round numbers, and A is signal amplitude, unit v, ωiFor signal frequency, T is the sampling interval Time, n are series of discrete number,For first positive sequence initial phase, N predetermined sequence length.First positive sequence pattern expression, Shown in Fig. 2.
In one embodiment, it is formula (8) that first anti-pleat block 407, which obtains first anti-pleat sequence,：
Wherein, X-start(- n) is first anti-pleat sequence, X+start(n) it is 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 first anti-pleat sequence initial phase, and N presets sequence Row length.The avatars of the first anti-pleat sequence, as shown in Figure 2.
In one embodiment, first positive phase and first antiphase are the results based on orthogonal mixing and integral and calculating, When not considering the mixing interfering frequency of orthogonal mixing, orthogonal mixing is expressed as formula (9), and integral and calculating is expressed as formula (10)：
Wherein, R+start(n) it is first positive real frequency mixing sequence, I+start(n) sequence, R are mixed for first weakened body resistance frequency-start (- n) is that first anti-real frequency is mixed sequence, I-start(- n) is that 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, ωiFor signal frequency, T is sampling interval duration, and n is series of discrete number, For first positive sequence initial phase, β 1 is first anti-pleat sequence initial phase, and N is predetermined sequence length.
In formula, R+startFirst just real frequency integrated value, unit dimensionless, I+startFor first weakened body resistance frequency integrated value, unit without Dimension, R-startFor first anti-real frequency integrated value, unit dimensionless, I-startIt is immeasurable for first anti-empty frequency mixing integrated value, unit Guiding principle, 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 Row length,For first positive sequence initial phase, β 1 is first anti-pleat sequence initial phase.
In one embodiment, first phase module 408 obtains first positive phase and the expression formula of first antiphase is (11)：
In formula, PH+startFor first positive phase, PH-startFor first antiphase, R+startFirst just real frequency integrated value, unit Dimensionless, I+startFor first weakened body resistance frequency integrated value, unit dimensionless, R-startFor first anti-real frequency integrated value, unit dimensionless, I-startFor first anti-empty frequency mixing integrated value, unit dimensionless, Ω is signal frequency ωiWith reference frequency ωsFrequency difference, T is Sampling interval duration, N are predetermined sequence length,For first positive sequence initial phase, β 1 is first anti-pleat sequence initial phase.
Averagely initial phase module 409 obtains the electric power and believed according to the first positive phase and the first antiphase for the first time Number for the first time averagely initial phase；
In one embodiment, the expression formula for obtaining first averagely initial phase is (12)：
In formula, PHstart-avgFor the initial phase that is averaged for the first time, PH+startFor first positive phase, PH-startFor first antiphase,For first positive sequence initial phase, β 1 is first anti-pleat sequence initial phase.
In one embodiment, phase bits comparison module 410 by it is described for the first time averagely initial phase and PHstart-avgEnter with ± π/4 Row is relatively formula (13)：
In formula, Δ PHcomFor first phase fiducial value, unit rad, PHstart-avgFor the initial phase that is averaged for the first time.
In one embodiment, it is formula (14) to obtain the new starting point：
In formula, PnewFor new starting point, unit dimensionless, PstartTo preset starting point, Δ PHcomFor first phase bit comparison Value, unit rad, N2πFor unit periodic sequence length, (int) is round numbers.
In one embodiment, block 411 obtains positive sequence again again and anti-pleat sequence is formula (15) again：
In formula, X+end(n) it is positive sequence again, X-end(- n) is anti-pleat sequence again, PnewFor new starting point, unit without Dimension,For positive sequence initial phase again, β 2 is anti-pleat sequence initial phase again, ωiFor signal frequency, T is the sampling interval Time, n are series of discrete number, and N is predetermined sequence length.
In one embodiment, again positive phase and again antiphase be based on it is orthogonal mixing and digital filtering calculate knot Fruit.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 (16), and the 6 of 2 kinds of filtering parameters Level rectangular window arithmetic mean filter filtering calculation expression is formula (17)：
In formula, R+end(n) it is positive real frequency mixing sequence again, I+end(n) sequence, R are mixed for weakened body resistance frequency again-end(-n) For anti-real frequency mixing sequence again, I-end(- n) is mixed sequence, cos (ω for anti-empty frequency agains) 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, Ω is signal Frequencies omegaiWith reference frequency ωsFrequency difference, ωiFor signal frequency, T is sampling interval duration, and n is series of discrete number,For again Secondary positive sequence initial phase, β 2 is anti-pleat sequence initial phase, N are predetermined sequence length again.
In formula, R+endFor just real frequency digital filtering final value again, unit dimensionless；I+endFor weakened body resistance frequency digital filtering again Final value, unit dimensionless；R-endFor anti-digital filtering final value again, unit dimensionless；I-endIt is whole for anti-empty frequency digital filtering again Value, unit dimensionless；Ω is signal frequency ωiWith reference frequency ωsFrequency difference；K (Ω) is amplitude of the digital filtering in frequency difference Ω Gain, unit dimensionless；T is sampling interval duration；For positive sequence initial phase again；β 2 is anti-pleat sequence first phase again Position；ND1For filtering parameter 1, i.e., to ND1Individual continuous centrifugal pump is added, and then takes its arithmetic mean of instantaneous value defeated as this filter value Go out；ND2For filtering parameter 2, i.e., to ND2Individual continuous centrifugal pump is added, and then takes its arithmetic mean of instantaneous value defeated as this filter value Go out；NDSequence length is used for digital filtering, is the summation of 6 grades of rectangular window arithmetic mean filter filtering parameters in quantity, it is small In 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 ND2Expression formula is formula (18)：
In formula, 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, phase module 412 obtains positive phase again again and antiphase expression formula is (19) again：
In formula, PH+endFor positive phase again, PH-endFor antiphase again, R+endFor just real frequency integrated value again, unit without Dimension, I+endFor weakened body resistance frequency integrated value again, unit dimensionless, R-endFor anti-real frequency integrated value again, unit dimensionless, I-end For anti-empty frequency mixing integrated value again, 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 positive sequence initial phase again, β 2 is anti-pleat sequence first phase again Position.
In one embodiment, the expression formula that averagely initial phase module 413 obtains the initial phase that is averaged again again is (20)：
In formula, PHend-avgFor the initial phase that is averaged again, PH+endFor positive phase again, PH-endFor antiphase again,For Positive sequence initial phase again, β 2 are anti-pleat sequence initial phase again.
In one embodiment, the acquisition of cosine function modulation sequence module 414 cosine function modulation sequence expression formula is (21)：
In formula, Xcos(n) it is cosine function modulation sequence；A is cosine function modulation sequence amplitude, unit v；For cosine function modulation sequence initial phase, ωiFor signal frequency, T is sampling interval duration, and n is series of discrete Number, N is predetermined sequence length,For positive sequence initial phase again, β 2 is anti-pleat sequence initial phase again.
In one embodiment, the acquisition of SIN function modulation sequence module 415 SIN function modulation sequence expression formula is (22)：
In formula, Xsin(n) it is SIN function modulation sequence, A is SIN function modulation sequence amplitude, unit v,For cosine function modulation sequence initial phase, ωiFor signal frequency, T is sampling interval duration, and n is series of discrete Number, N is predetermined sequence length,For positive sequence initial phase again, β 2 is anti-pleat sequence initial phase again.
In one embodiment, reference function modulation sequence module 416 obtains zero initial phase benchmark cosine function modulation sequence Row expression formula is (23)：
In formula, X0cos(n) it is zero initial phase benchmark cosine function modulation sequence, A is cosine function modulation sequence amplitude, list Position v, ωiSignal frequency, T are sampling interval duration, and n is series of discrete number, and N is predetermined sequence length.
In one embodiment, reference function modulation sequence module 416 obtains zero initial phase reference sinusoidal FUNCTION MODULATION sequence Row expression formula is (24)：
In formula, X0sin(n) it is zero initial phase reference sinusoidal FUNCTION MODULATION sequence, A is cosine function modulation sequence amplitude, list Position v, ωiSignal frequency, T are sampling interval duration, and n is series of discrete number, and N is predetermined sequence length.Zero initial phase datum mark Avatars, shown in Fig. 3.
In one embodiment, the default frequency of finely tuning is the arithmetic number less than or equal to actual signal frequency 1%, unit Rad/s, it is expressed as formula (25)：
In formula, ΩsetTo finely tune frequency, unit rad/s, Ωset≤0.01ωi。
Multiplication sequence module 417 is by discrete sine function and the zero initial phase benchmark cosine function of the fine setting frequency It is formula (26) that modulation sequence multiplication, which obtains the first multiplication sequence,：
Multiplication sequence module 417 is by discrete cosine function and the zero initial phase reference sinusoidal function of the fine setting frequency It is formula (27) that modulation sequence multiplication, which obtains the second multiplication sequence,：
In formula, X1 (n) is the first multiplication sequence, and X2 (n) is the second multiplication sequence, sin (ΩsetTn it is) the fine setting frequency The discrete sine function of rate, cos (ΩsetTn it is) the discrete cosine function of the fine setting frequency.
Frequency reference SIN function block 418 is improved by first multiplication sequence and the second multiplication sequence phase Add, obtain the electric power signal puies forward the high-frequency zero initial phase reference sinusoidal sequence of function；
In one embodiment, it is formula (28) to obtain and put forward the high-frequency zero initial phase reference sinusoidal sequence of function：
In formula, X0sin+f(n) to put forward the high-frequency zero initial phase reference sinusoidal sequence of function, sequence frequency improves Ωset。
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 (6)

  1. A kind of 1. method for the raising frequency reference SIN function sequence for obtaining electric power signal, it is characterised in that including following step Suddenly：
    According to the lower limit of frequency power signal scope, preset sample frequency and default integer signal period number, the electric power is obtained The preliminary sequence length of signal；
    The 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, generates the preliminary frequency of the electric power signal, and according to the preliminary frequency Set the reference frequency of the electric power signal；
    According to the preset sample frequency and the reference frequency, the unit period sequence length of the electric power signal is obtained；
    According to the default integer signal period number and the unit period sequence length, the default sequence of the electric power signal is obtained Row length, the predetermined sequence length are odd number；
    According to default starting point and the predetermined sequence length, obtained from the preliminary sequence electric power signal it is first just To sequence；
    The first anti-pleat sequence of the electric power signal is obtained according to the first positive sequence；
    The first positive phase of the electric power signal is obtained according to the first positive sequence, and is obtained according to the first anti-pleat sequence Obtain the first antiphase of the electric power signal；
    The initial phase that is averaged for the first time of the electric power signal is obtained according to the first positive phase and the first antiphase；
    By the averagely initial phase for the first time compared with ± π/4, the first phase fiducial value compared with ± π/4 is obtained, And according to the first phase fiducial value and the default starting point, obtain new starting point；
    According to the new starting point and the predetermined sequence length, the electric power signal is obtained from the preliminary sequence again Positive sequence, and according to the pleat sequence anti-again of the positive sequence acquisition again electric power signal；
    The positive phase again of the electric power signal is obtained according to the sequence positive again, and obtained according to the pleat sequence anti-again Obtain the antiphase again of the electric power signal；
    The initial phase that is averaged again of the electric power signal is obtained according to the positive phase again and the antiphase again；
    The positive sequence again is added with the pleat sequence anti-again, and described is averaged according to the result after addition and again Initial phase, the cosine function modulation sequence of the electric power signal is obtained, according to expression formula Obtain the cosine function modulation sequence Xcos(n), wherein n=0,1,2 ..., N-1, X+end(n) it is the sequence positive again Row, X-end(- n) pleat sequence anti-again, PH for described inend-avgFor the initial phase that is averaged again, n is series of discrete number, and N is institute State predetermined sequence length；
    The sequence positive again and the pleat sequence anti-again are subtracted each other, and according to the result after subtracting each other and described average again Initial phase, the SIN function modulation sequence of the electric power signal is obtained, according to expression formula Obtain the SIN function modulation sequence Xsin(n), wherein n=0,1,2 ..., N-1, X+end(n) it is the sequence positive again Row, X-end(- n) pleat sequence anti-again, PH for described inend-avgFor the initial phase that is averaged again, n is series of discrete number, and N is institute State predetermined sequence length；
    Exported from the cosine function modulation sequence central point, the zero initial phase benchmark cosine function for obtaining the electric power signal is adjusted Sequence processed；Exported from the SIN function modulation sequence central point, obtain zero initial phase reference sinusoidal letter of the electric power signal Number modulation sequence；
    The discrete sine function of default fine setting frequency is multiplied with the zero initial phase benchmark cosine function modulation sequence and obtains institute The first multiplication sequence of electric power signal is stated, by discrete cosine function and the zero initial phase benchmark of the default fine setting frequency just String FUNCTION MODULATION sequence, which is multiplied, obtains the second multiplication sequence of the electric power signal；
    First multiplication sequence is added with second multiplication sequence, obtains carrying at the beginning of high-frequency zero for the electric power signal Phase reference SIN function sequence.
  2. 2. the method for the raising frequency reference SIN function sequence according to claim 1 for obtaining electric power signal, its feature It is, the electric power signal is the cosine function signal of single fundamental frequency, according to expression formulaObtain Obtain the preliminary sequence Xstart(n), whereinN=0,1,2,3 ..., Nstart- 1, A are signal amplitude, ωiFor signal frequency Rate,For the initial phase of the preliminary sequence, T is sampling interval duration, and f is the preset sample frequency, and n is series of discrete Number, NstartFor the preliminary sequence length.
  3. 3. the method for the raising frequency reference SIN function sequence according to claim 1 for obtaining electric power signal, its feature It is, according to expression formula X1 (n)=X0cos(n)sin(ΩsetTn the first multiplication sequence X1 (n)) is obtained, according to expression formula X2 (n)=X0sin(n)cos(ΩsetTn the second multiplication sequence X2 (n)) is obtained, whereinX0cos (n) it is the zero initial phase benchmark cosine function modulation sequence, X0sin(n) it is the zero initial phase reference sinusoidal FUNCTION MODULATION sequence Row, sin (ΩsetTn it is) discrete sine function of the default fine setting frequency, cos (ΩsetTn) it is the default fine setting frequency Discrete cosine function, ΩsetFor the default fine setting frequency, T is sampling interval duration, and n is series of discrete number, and N is described pre- If sequence length.
  4. A kind of 4. system for the raising frequency reference SIN function sequence for obtaining electric power signal, it is characterised in that including：
    Preliminary sequence length modules, believe for the lower limit according to frequency power signal scope, preset sample frequency and default integer Number periodicity, obtain the preliminary sequence length of the electric power signal；
    Preliminary sequence module, for being sampled according to the preliminary sequence length to the electric power signal, obtain the electric power The preliminary sequence of signal；
    Frequency preliminary survey module, for entering line frequency preliminary survey to the preliminary sequence, the preliminary frequency of the electric power signal is generated, and The reference frequency of the electric power signal is set according to the preliminary frequency；
    Unit period sequence length module, for according to the preset sample frequency and the reference frequency, obtaining the electric power The unit period sequence length of signal；
    Predetermined sequence length modules, for according to the default integer signal period number and the unit period sequence length, obtaining The predetermined sequence length of the electric power signal is obtained, the predetermined sequence length is odd number；
    First positive block, for according to default starting point and the predetermined sequence length, being obtained from the preliminary sequence Obtain the first positive sequence of the electric power signal；
    First anti-pleat block, for obtaining the first anti-pleat sequence of the electric power signal according to the first positive sequence；
    First phase module, for the first positive phase according to the first positive sequence acquisition electric power signal, and according to The first anti-pleat sequence obtains the first antiphase of the electric power signal；
    Be averaged initial phase module for the first time, for obtaining the electric power signal according to the first positive phase and the first antiphase For the first time averagely initial phase；
    Phase bits comparison module, for the averagely initial phase for the first time compared with ± π/4, to be obtained compared with ± π/4 First phase fiducial value, and according to the first phase fiducial value and the default starting point, obtain new starting point；
    Block again, for according to the new starting point and the predetermined sequence length, being obtained from the preliminary sequence The sequence positive again of the electric power signal, and according to the pleat sequence anti-again of the positive sequence acquisition again electric power signal Row；
    Phase module again, for the positive phase again according to the positive sequence acquisition again electric power signal, and according to The pleat sequence anti-again obtains the antiphase again of the electric power signal；
    Be averaged initial phase module again, for positive phase and the antiphase again to obtain the electric power signal again according to Again be averaged initial phase；
    Cosine function modulation sequence module, for will described in again positive sequence be added with the pleat sequence anti-again, and according to Result and the initial phase that is averaged again after addition, the cosine function modulation sequence of the electric power signal is obtained, according to expression FormulaObtain the cosine function modulation sequence Xcos(n), wherein n=0,1,2 ..., N- 1, X+end(n) it is the sequence positive again, X-end(- n) pleat sequence anti-again, PH for described inend-avgIt is averaged again just to be described Phase, n are series of discrete number, and N is the predetermined sequence length；
    SIN function modulation sequence module, for the sequence positive again and the pleat sequence anti-again to be subtracted each other, and according to Result and the initial phase that is averaged again after subtracting each other, the SIN function modulation sequence of the electric power signal is obtained, according to expression FormulaObtain the SIN function modulation sequence Xsin(n), wherein n=0,1,2 ..., N- 1, X+end(n) it is the sequence positive again, X-end(- n) pleat sequence anti-again, PH for described inend-avgIt is averaged again just to be described Phase, n are series of discrete number, and N is the predetermined sequence length；
    Reference function modulation sequence module, for being exported from the cosine function modulation sequence central point, obtain the electric power letter Number zero initial phase benchmark cosine function modulation sequence；Exported from the SIN function modulation sequence central point, obtain the electricity Zero initial phase reference sinusoidal FUNCTION MODULATION sequence of force signal；
    Multiplication sequence module, for the discrete sine function of default fine setting frequency to be adjusted with the zero initial phase benchmark cosine function Sequence processed, which is multiplied, obtains the first multiplication sequence of the electric power signal, by the discrete cosine function of the default fine setting frequency and institute State the second multiplication sequence that the multiplication of zero initial phase reference sinusoidal FUNCTION MODULATION sequence obtains the electric power signal；
    Frequency reference SIN function block is improved, for by first multiplication sequence and the second multiplication sequence phase Add, obtain the electric power signal puies forward the high-frequency zero initial phase reference sinusoidal sequence of function.
  5. 5. the system of the raising frequency reference SIN function sequence according to claim 4 for obtaining electric power signal, its feature It is, the electric power signal is the cosine function signal of single fundamental frequency, and the preliminary sequence module is according to expression formulaObtain the preliminary sequence Xstart(n), whereinN=0,1,2,3 ..., Nstart- 1, A is signal amplitude, ωiFor signal frequency,For the initial phase of the preliminary sequence, T is sampling interval duration, and f is described pre- If sample frequency, n is series of discrete number, NstartFor the preliminary sequence length.
  6. 6. the system of the raising frequency reference SIN function sequence according to claim 4 for obtaining electric power signal, its feature It is, the multiplication sequence module is according to expression formula X1 (n)=X0cos(n)sin(ΩsetTn first multiplication sequence) is obtained X1 (n), according to expression formula X2 (n)=X0sin(n)cos(ΩsetTn the second multiplication sequence X2 (n)) is obtained, whereinX0cos(n) it is the zero initial phase benchmark cosine function modulation sequence, X0sin(n) at the beginning of being described zero Phase reference SIN function modulation sequence, sin (ΩsetTn it is) discrete sine function of the default fine setting frequency, cos (ΩsetTn it is) the discrete cosine function of the default fine setting frequency, ΩsetFor the default fine setting frequency, T is sampling interval duration, N is series of discrete number, and N is the predetermined sequence length.
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Citations (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3441871A (en) * 1967-01-05 1969-04-29 Gen Electric Co Ltd Oscillator system selectively operable as frequency measuring device or automatic frequency control
US3675124A (en) * 1970-10-28 1972-07-04 Sperry Rand Corp Apparatus for measuring frequency modulation noise signals and for calibrating same
DE3327876A1 (en) * 1982-08-02 1984-03-01 Raytheon Co., 02173 Lexington, Mass. FREQUENCY MEASURING DEVICE
JP2015025726A (en) * 2013-07-26 2015-02-05 東芝三菱電機産業システム株式会社 Frequency detecting device, frequency detecting method, and electric power converter
CN104502700A (en) * 2014-12-29 2015-04-08 广东电网有限责任公司电力科学研究院 Sinusoidal parameter measurement method and system of power signal
CN104502706A (en) * 2014-12-29 2015-04-08 广东电网有限责任公司电力科学研究院 Harmonic amplitude measurement method and system of power signal
CN104635044A (en) * 2015-02-05 2015-05-20 广东电网有限责任公司电力科学研究院 Power signal frequency detection method and system based on amplitude modulation
CN104635045A (en) * 2015-02-05 2015-05-20 广东电网有限责任公司电力科学研究院 Power signal frequency detection method and system based on phase modulation
CN105067880A (en) * 2015-09-18 2015-11-18 广东电网有限责任公司电力科学研究院 Method and system for orthogonal modulation of power signals

Patent Citations (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US3441871A (en) * 1967-01-05 1969-04-29 Gen Electric Co Ltd Oscillator system selectively operable as frequency measuring device or automatic frequency control
US3675124A (en) * 1970-10-28 1972-07-04 Sperry Rand Corp Apparatus for measuring frequency modulation noise signals and for calibrating same
DE3327876A1 (en) * 1982-08-02 1984-03-01 Raytheon Co., 02173 Lexington, Mass. FREQUENCY MEASURING DEVICE
JP2015025726A (en) * 2013-07-26 2015-02-05 東芝三菱電機産業システム株式会社 Frequency detecting device, frequency detecting method, and electric power converter
CN104502700A (en) * 2014-12-29 2015-04-08 广东电网有限责任公司电力科学研究院 Sinusoidal parameter measurement method and system of power signal
CN104502706A (en) * 2014-12-29 2015-04-08 广东电网有限责任公司电力科学研究院 Harmonic amplitude measurement method and system of power signal
CN104635044A (en) * 2015-02-05 2015-05-20 广东电网有限责任公司电力科学研究院 Power signal frequency detection method and system based on amplitude modulation
CN104635045A (en) * 2015-02-05 2015-05-20 广东电网有限责任公司电力科学研究院 Power signal frequency detection method and system based on phase modulation
CN105067880A (en) * 2015-09-18 2015-11-18 广东电网有限责任公司电力科学研究院 Method and system for orthogonal modulation of power signals

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