CN105548701B - Obtain the method and system of the reduction frequency orthogonal sequence of electric power signal - Google Patents

Obtain the method and system of the reduction frequency orthogonal sequence of electric power signal Download PDF

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CN105548701B
CN105548701B CN201510891240.XA CN201510891240A CN105548701B CN 105548701 B CN105548701 B CN 105548701B CN 201510891240 A CN201510891240 A CN 201510891240A CN 105548701 B CN105548701 B CN 105548701B
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sequence
electric power
frequency
power signal
positive
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CN105548701A (en
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潘凤萍
李军
吴乐
朱亚清
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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
    • G01R23/165—Spectrum analysis; Fourier analysis using filters
    • G01R23/167—Spectrum analysis; Fourier analysis using filters with digital filters
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R25/00—Arrangements for measuring phase angle between a voltage and a current or between voltages or currents

Abstract

The invention discloses it is a kind of obtain electric power signal reduction frequency orthogonal sequence method and system, the described method includes：Obtain electric power signal preliminary sequence length and preliminary sequence；To preliminary sequence into line frequency preliminary survey, reference frequency is set；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, obtains remaining/SIN function modulation sequence；The multiplication sequence of first/second/the 3rd/the 4th is obtained according to default fine setting frequency, remaining/SIN function modulation sequence, further according to reduce frequency just/cosine function sequence obtains reduces frequency orthogonal sequence.The present invention improves the accuracy that sine parameter calculates, and is adapted to application.

Description

Obtain the method and system of the reduction frequency orthogonal sequence of electric power signal
Technical field
The present invention relates to technical field of electric power, more particularly to a kind of reduction frequency orthogonal sequence for obtaining electric power signal Method and system.
Background technology
The frequency measurement of electric 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 electric system With.But the above method is blocked in the non-integer of signal sampling process, cause spectrum leakage, and spectrum leakage can produce phase The error answered.
In terms of electric system sine parameter measurement, there are many measuring methods, repaiied such as adding window mouth functional based method, using interpolation Correction method etc., reduces 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 method of reduction frequency orthogonal sequence for obtaining electric power signal and is System, improves the 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 reduction frequency orthogonal 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；
To the preliminary sequence into line frequency preliminary survey, the preliminary frequency of the electric power signal is generated, and according to described preliminary Frequency sets the reference frequency of the electric power signal；
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；
According to default starting point and the predetermined sequence length, the first of the electric power signal is obtained from the preliminary sequence Secondary forward direction 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；
The sequence of forward direction again is added with the pleat sequence anti-again, and according to the result after addition and it is described again Average initial phase, obtains 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, obtains the SIN function modulation sequence of the electric power signal；
The discrete sine function of default fine setting frequency is multiplied with the cosine function modulation sequence and obtains the electric power letter Number the first multiplication sequence, the discrete cosine function of the default fine setting frequency is multiplied with the SIN function modulation sequence and obtains The second multiplication sequence of the electric power signal is obtained, the discrete sine function of default fine setting frequency is modulated into sequence with the SIN function Row, which are multiplied, obtains the 3rd multiplication sequence of the electric power signal, by the discrete cosine function of the default fine setting frequency with it is described remaining String FUNCTION MODULATION sequence, which is multiplied, obtains the 4th multiplication sequence of the electric power signal；
Second multiplication sequence and first multiplication sequence are subtracted each other, obtaining the reduction frequency of the electric power signal just The string sequence of function；4th multiplication sequence is added with the 3rd multiplication sequence, obtains the reduction frequency of the electric power signal Rate cosine function sequence；
The electric power letter is obtained according to the reduction frequency sine sequence of function and the reduction frequency cosine function sequence Number reduction frequency orthogonal sequence.
A kind of system for the reduction frequency orthogonal 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, obtains 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 into line frequency preliminary survey, generating the first cadence of the electric power signal to the preliminary sequence 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；
First forward direction 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 the sequence of forward direction again to 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；
Multiplication sequence module, for by it is default fine setting frequency discrete sine function and the cosine function modulation sequence phase Multiply the first multiplication sequence for obtaining the electric power signal, by the discrete cosine function of the default fine setting frequency and the sinusoidal letter Number modulation sequence, which is multiplied, obtains the second multiplication sequence of the electric power signal, by the discrete sine function of default fine setting frequency and institute The 3rd multiplication sequence that the multiplication of SIN function modulation sequence obtains the electric power signal is stated, by the discrete of the default fine setting frequency Cosine function is multiplied with the cosine function modulation sequence obtains the 4th multiplication sequence of the electric power signal；
Frequency function block is reduced, for second multiplication sequence and first multiplication sequence to be subtracted each other, is obtained Obtain the reduction frequency sine sequence of function of the electric power signal；By the 4th multiplication sequence and the 3rd multiplication sequence phase Add, obtain the reduction frequency cosine function sequence of the electric power signal；
Reduce frequency orthogonal block, for according to it is described reduction the frequency sine sequence of function and it is described reduction frequency more than The string sequence of function obtains the reduction frequency orthogonal sequence of the electric power signal.
Compared with prior art, beneficial effects of the present invention are：The present invention obtains the reduction frequency orthogonal sequence of electric power signal The method and system of row, according to the lower limit of frequency power signal scope, preset sample frequency and preliminary design integer signal period number, is obtained Preliminary sequence length is obtained, and electric power signal is tentatively sampled, obtains preliminary sequence；To preliminary sequence into line frequency preliminary survey, Preliminary frequency is generated, sets reference frequency；According to preset sample frequency and reference frequency, unit period sequence length is obtained；Root According to default integer signal period number and unit period sequence length, predetermined sequence length is obtained；Obtained from preliminary sequence first Positive sequence, further obtains first anti-pleat sequence；According to first positive sequence, first anti-pleat sequence obtain first positive phase, First antiphase, further obtains 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 it is average just Phase obtains cosine function modulation sequence, SIN function modulation sequence；According to it is default fine setting frequency, cosine function modulation sequence, SIN function modulation sequence, which obtains, to be reduced the frequency sine sequence of function, reduces frequency cosine function sequence, is further reduced Frequency orthogonal sequence, by reducing the fundamental frequency of signal sequence, it can be achieved that being blocked to the number of cycles of fundamental signal, electric power letter With the amplitude maximum of fundamental wave component in number, the number of cycles truncated problem of fundamental signal is solved, improves sine parameter calculating Accuracy, is adapted to practical application.
Brief description of the drawings
Fig. 1 is the method flow diagram for the reduction frequency orthogonal 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 the system structure diagram for the reduction frequency orthogonal sequence that electric power signal is obtained in one embodiment.
Embodiment
In order to make the object, technical solutions and advantages of the present invention clearer, the present invention is made below in conjunction with attached 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 reduction frequency orthogonal sequence of electric power signal is obtained in one embodiment, as shown in Figure 1, including following step Suddenly：
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：To the preliminary sequence into line frequency preliminary survey, the preliminary frequency of the electric power signal is generated, 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；
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：The discrete sine function of default fine setting frequency is multiplied with the cosine function modulation sequence and obtains institute The first multiplication sequence of electric power signal is stated, the discrete cosine function of the default fine setting frequency is modulated into sequence with the SIN function Row, which are multiplied, obtains the second multiplication sequence of the electric power signal, by the discrete sine function of default fine setting frequency and the sinusoidal letter Number modulation sequence, which is multiplied, obtains the 3rd multiplication sequence of the electric power signal, by the discrete cosine function of the default fine setting frequency It is multiplied with the cosine function modulation sequence and obtains the 4th multiplication sequence of the electric power signal；
Step S117：Second multiplication sequence and first multiplication sequence are subtracted each other, obtain the electric power signal Reduce the frequency sine sequence of function；4th multiplication sequence is added with the 3rd multiplication sequence, obtains the electric power letter Number reduction frequency cosine function sequence；
Step S118：Institute is obtained according to the reduction frequency sine sequence of function and the reduction frequency cosine function sequence State the reduction frequency orthogonal sequence of electric power signal.
It is evidenced from the above discussion that the present invention, which obtains, reduces frequency orthogonal sequence, the accuracy that sine parameter calculates is improved, it is real Border application value is 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 takes frequency power signal lower limit f in 45Hz-55HzminFor 45Hz；According to being actually needed, the default integer signal period number C is set2π, in one embodiment, take C2πFor 13.At one In embodiment, for step S101, it is formula (1) to obtain the preliminary sequence length：
In formula, NstartFor preliminary sequence length；(int) rounding is represented；C2πTo preset integer signal period number；fminFor electricity The lower limit of force signal frequency range, unit Hz；F is preset sample frequency, unit Hz.
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 based on the frequency algorithm of phase difference at the beginning of the preliminary sequence into line frequency 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.
There are the error in 1 sampling interval for the unit period sequence length integer.
In one embodiment, for step S105, it is formula (6) to obtain the predetermined sequence length：
N=(int) [(C2π-1)N2π] (6)；
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 forward direction 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 be based on it is orthogonal mixing and integral and calculating as a result, When without 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 positive 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 positive 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 of 6 grades of rectangular window arithmetic mean filters of 2 kinds of filtering parameters.
When without considering the mixing interfering frequency of orthogonal mixing, orthogonal mixing is expressed as formula (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 forward direction sequence initial phase, β 2 is anti-pleat sequence initial phase, N are predetermined sequence length again.
In formula, R+endFor positive 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 ND1A 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 ND2A 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, The mixing interfering frequency that purpose produces 1/3 subharmonic carries out depth suppression；Filtering parameter ND2Value is the reference frequency 2 times of unit period sequence length, purpose carries out depth to the mixing interfering frequency of the generations such as direct current, 1/2 gradation, subharmonic Suppress.6 grades of rectangular window arithmetic mean filters filtering of 2 kinds of filtering parameters, which calculates, to be needed using signal period sequence length 10.5 times.
Filtering parameter ND1With filtering parameter 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 positive 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, the default frequency of finely tuning is the arithmetic number less than or equal to actual signal frequency 1%, unit Rad/s, is expressed as formula (23)：
In formula, ΩsetTo finely tune frequency, unit rad/s, Ωset≤0.01ωi。
For step S116, the discrete sine function of the fine setting frequency is multiplied with the cosine function modulation sequence and is obtained It is formula (24) to obtain the first multiplication sequence：
For step S116, the discrete cosine function of the fine setting frequency is multiplied with the SIN function modulation sequence and is obtained It is formula (25) to obtain the second multiplication sequence：
For step S116, the discrete sine function of default fine setting frequency is multiplied with the SIN function modulation sequence and is obtained The 3rd multiplication sequence for obtaining the electric power signal is formula (26)：
For step S116, by the discrete cosine function of the default fine setting frequency and the cosine function modulation sequence phase Multiply that to obtain the 4th multiplication sequence of the electric power signal be formula (27)：
In formula, X1 (n) is the first multiplication sequence, and X2 (n) is the second multiplication sequence, and X3 (n) is the first multiplication sequence, X4 (n) it is the second multiplication sequence, sin (ΩsetTn it is) discrete sine function of the fine setting frequency, cos (ΩsetTn) to be described micro- The discrete cosine function of frequency modulation rate.
In one embodiment, for step S117, it is formula (28) that obtaining, which reduces the frequency sine sequence of function,：
In one embodiment, for step S117, it is formula (29) that obtaining, which reduces frequency cosine function sequence,：
In formula, Xsin+f(n) it is the reduction frequency sine sequence of function, Xcos+f(n) it is reduction frequency cosine function sequence, sequence Row frequency reduces Ωset。
In one embodiment, for step S118, it is formula (30) that obtaining, which reduces frequency orthogonal sequence,：
In formula, sequence Xsin+f(n) and sequence Xcos+f(n) it is orthogonal each other.
The system that the reduction frequency orthogonal sequence of electric power signal is obtained in one embodiment, as shown in figure 3, including：
Preliminary sequence length modules 301, for the lower limit according to frequency power signal scope, preset sample frequency and preset Integer signal period number, obtains the preliminary sequence length of the electric power signal；
Preliminary sequence module 302, for being sampled according to the preliminary sequence length to the electric power signal, obtains institute State the preliminary sequence of electric power signal；
Frequency preliminary survey module 303, for, into line frequency preliminary survey, generating the preliminary of the electric power signal to the preliminary sequence Frequency, and according to the reference frequency of the preliminary frequency setting electric power signal；
Unit period sequence length module 304, 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 305, 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；
First forward direction block 306, 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 307, for obtaining the first anti-of the electric power signal according to the first positive sequence Pleat sequence；
First phase module 308, 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 309 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 310, 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 311 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 312 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 313 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 314, for the sequence of forward direction again to 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 315, 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；
Multiplication sequence module 316, for the discrete sine function of default fine setting frequency to be modulated sequence with the cosine function Row, which are multiplied, obtains the first multiplication sequence of the electric power signal, by the discrete cosine function of the default fine setting frequency with it is described just String FUNCTION MODULATION sequence, which is multiplied, obtains the second multiplication sequence of the electric power signal, by the discrete sine function of default fine setting frequency It is multiplied with the SIN function modulation sequence and obtains the 3rd multiplication sequence of the electric power signal, by the default fine setting frequency Discrete cosine function is multiplied with the cosine function modulation sequence obtains the 4th multiplication sequence of the electric power signal；
Frequency function block 317 is reduced, for second multiplication sequence and first multiplication sequence to be subtracted each other, Obtain the reduction frequency sine sequence of function of the electric power signal；By the 4th multiplication sequence and the 3rd multiplication sequence phase Add, obtain the reduction frequency cosine function sequence of the electric power signal；
Frequency orthogonal block 318 is reduced, for according to the reduction frequency sine sequence of function and the reduction frequency Rate cosine function sequence obtains the reduction frequency orthogonal sequence of the electric power signal.
It is evidenced from the above discussion that the present invention, which obtains, reduces frequency orthogonal sequence, the accuracy that sine parameter calculates is improved, it is full Foot is 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 takes frequency power signal lower limit f in 45Hz-55HzminFor 45Hz；In one embodiment, C is taken2πFor 13.In one embodiment, preliminary sequence length modules 301 obtain the preliminary sequence Row length is formula (1)：
In formula, NstartFor preliminary sequence length；(int) rounding is represented；C2πTo preset integer signal period number；fminFor electricity The lower limit of force signal frequency range, unit Hz；F is preset sample frequency, unit Hz.
In one embodiment, the electric power signal is the cosine function signal of single fundamental frequency, preliminary sequence module 302 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 303 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 or based on the frequency algorithm of phase difference to the preliminary sequence into line frequency Preliminary survey, obtains 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 304 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.
There are the error in 1 sampling interval for the unit period sequence length integer.
In one embodiment, it is formula (6) that predetermined sequence length modules 305, which obtain the predetermined sequence length,：
N=(int) [(C2π-1)N2π] (6)；
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 306, 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 forward direction sequence pattern table Reach, shown in Fig. 2.
In one embodiment, it is formula (8) that first anti-pleat block 307, 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 be based on it is orthogonal mixing and integral and calculating as a result, When without 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 positive 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 308 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 positive 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, it is formula (12) that averagely initial phase module 309, which obtains averagely initial phase for the first time, for the first time：
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 310 by it is described for the first time averagely initial phase and PHstart-avgWith ± π/4 into 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 311 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 of 6 grades of rectangular window arithmetic mean filters of 2 kinds of filtering parameters.
When without considering the mixing interfering frequency of orthogonal mixing, orthogonal mixing is expressed as formula (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 forward direction sequence initial phase, β 2 is anti-pleat sequence initial phase, N are predetermined sequence length again.
In formula, R+endFor positive 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 ND1A 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 ND2A 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, The mixing interfering frequency that purpose produces 1/3 subharmonic carries out depth suppression；Filtering parameter ND2Value is the reference frequency 2 times of unit period sequence length, purpose carries out depth to the mixing interfering frequency of the generations such as direct current, 1/2 gradation, subharmonic Suppress.6 grades of rectangular window arithmetic mean filters filtering of 2 kinds of filtering parameters, which calculates, to be needed using signal period sequence length 10.5 times.
Filtering parameter ND1With filtering parameter 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 312 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 positive 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 313 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 314 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 315 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, the default frequency of finely tuning is the arithmetic number less than or equal to actual signal frequency 1%, unit Rad/s, is expressed as formula (23)：
In formula, ΩsetTo finely tune frequency, unit rad/s, Ωset≤0.01ωi。
It is formula (24) that multiplication sequence module 316, which obtains the first multiplication sequence,：
It is formula (25) that multiplication sequence module 316, which obtains the second multiplication sequence,：
The 3rd multiplication sequence that multiplication sequence module 316 obtains the electric power signal is formula (26)：
The 4th multiplication sequence that multiplication sequence module 316 obtains the electric power signal is formula (27)：
In formula, X1 (n) is the first multiplication sequence, and X2 (n) is the second multiplication sequence, and X3 (n) is the first multiplication sequence, X4 (n) it is the second multiplication sequence, sin (ΩsetTn it is) discrete sine function of the fine setting frequency, cos (ΩsetTn) to be described micro- The discrete cosine function of frequency modulation rate.
In one embodiment, it is formula to reduce frequency function block 317 and obtain the reduction frequency sine sequence of function (28)：
In one embodiment, it is formula to reduce frequency function block 317 and obtain reduction frequency cosine function sequence (29)：
In formula, Xsin+f(n) it is the reduction frequency sine sequence of function, Xcos+f(n) it is reduction frequency cosine function sequence, sequence Row frequency reduces Ωset。
In one embodiment, it is formula (30) to reduce frequency orthogonal block 318 and obtain reduction frequency orthogonal sequence：
In formula, sequence Xsin+f(n) and sequence Xcos+f(n) it is orthogonal each other.
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, its description is more specific and detailed, but simultaneously Cannot therefore it be construed as limiting the scope of the patent.It should be pointed out that come for those 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 reduction frequency orthogonal sequence for obtaining electric power signal, it is characterised in that comprise the following steps：
    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；
    To the preliminary sequence into line frequency preliminary survey, the preliminary frequency of the electric power signal is generated, 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；
    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 is 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 sequence positive again is added with the pleat sequence anti-again, and described is averaged according to the result after addition and again Initial phase, obtains the cosine function modulation sequence of the electric power signal；
    It is described to be added the sequence of forward direction again with the pleat sequence anti-again, and according to the result after addition and it is described again Average initial phase, obtaining the cosine function modulation sequence of the electric power signal includes：
    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-avgTo be described Be averaged initial phase again, and n is series of discrete number, and N is the 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, obtains the SIN function modulation sequence of the electric power signal；
    It is described to subtract each other the sequence positive again and the pleat sequence anti-again, and according to the result after subtracting each other and it is described again Average initial phase, obtaining the SIN function modulation sequence of the electric power signal includes：
    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-avgTo be described Be averaged initial phase again, and n is series of discrete number, and N is the predetermined sequence length；
    The discrete sine function of default fine setting frequency is multiplied with the cosine function modulation sequence and obtains the electric power signal First multiplication sequence, the discrete cosine function of the default fine setting frequency is multiplied with the SIN function modulation sequence and obtains institute The second multiplication sequence of electric power signal is stated, by the discrete sine function of default fine setting frequency and the SIN function modulation sequence phase Multiply the 3rd multiplication sequence for obtaining the electric power signal, by the discrete cosine function of the default fine setting frequency and the cosine letter Number modulation sequence, which is multiplied, obtains the 4th multiplication sequence of the electric power signal；
    Second multiplication sequence and first multiplication sequence are subtracted each other, obtain the reduction frequency sine letter of the electric power signal Number Sequence；4th multiplication sequence is added with the 3rd multiplication sequence, more than the reduction frequency for obtaining the electric power signal The string sequence of function；
    The electric power signal is obtained according to the reduction frequency sine sequence of function and the frequency cosine function sequence that reduces Reduce frequency orthogonal sequence.
  2. 2. the method for the reduction frequency orthogonal sequence according to claim 1 for obtaining electric power signal, it is characterised in that described Electric power signal is the cosine function signal of single fundamental frequency, according to expression formulaObtain described first Step sequence Xstart(n), whereinA is signal amplitude, ωiFor signal frequency,To be described The initial phase of preliminary sequence, T are sampling interval duration, and f is the preset sample frequency, and n is series of discrete number, NstartTo be described Preliminary sequence length.
  3. 3. the method for the reduction frequency orthogonal sequence according to claim 1 for obtaining electric power signal, it is characterised in that according to Expression formula X1 (n)=Xcos(n)sin(ΩsetTn the first multiplication sequence X1 (n)) is obtained, according to expression formula X2 (n)=Xsin (n)cos(ΩsetTn the second multiplication sequence X2 (n)) is obtained, according to expression formula X3 (n)=Xsin(n)sin(ΩsetTn) obtain The 3rd multiplication sequence X3 (n) is obtained, according to expression formula X4 (n)=Xcos(n)cos(ΩsetTn the 4th multiplication sequence) is obtained Arrange X4 (n), wherein n=0,1,2 ..., N-1, Xcos(n) it is the cosine function modulation sequence, Xsin(n) it is the sinusoidal letter Number modulation sequence, sin (ΩsetTn it is) discrete sine function of the default fine setting frequency, cos (ΩsetTn) to be described default Finely tune the discrete cosine function of frequency, ΩsetFor the default fine setting frequency, T is sampling interval duration, and n is series of discrete number, N For the predetermined sequence length.
  4. A kind of 4. system for the reduction frequency orthogonal 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, obtains 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, obtains the electric power The preliminary sequence of signal；
    Frequency preliminary survey module, for into line frequency preliminary survey, generating the preliminary frequency of the electric power signal to the preliminary sequence, 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 Obtain the predetermined sequence length of the electric power signal；
    First forward direction 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 compared with ± π/4, obtaining the averagely initial phase for the first time 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 the sequence of forward direction again to be added with the pleat sequence anti-again, and according to Result and the initial phase that is averaged again after addition, obtain the cosine function modulation sequence of the electric power signal；
    It is described to be added the sequence of forward direction again with the pleat sequence anti-again, and according to the result after addition and it is described again Average initial phase, obtaining the cosine function modulation sequence of the electric power signal includes：
    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-avgTo be described Be averaged initial phase again, and n is 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, obtain the SIN function modulation sequence of the electric power signal；
    It is described to subtract each other the sequence positive again and the pleat sequence anti-again, and according to the result after subtracting each other and it is described again Average initial phase, obtaining the SIN function modulation sequence of the electric power signal includes：
    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-avgFor it is described again Secondary average initial phase, n is series of discrete number, and N is the predetermined sequence length；
    Multiplication sequence module, is obtained for the discrete sine function of default fine setting frequency to be multiplied with the cosine function modulation sequence The first multiplication sequence of the electric power signal is obtained, by the discrete cosine function of the default fine setting frequency and the SIN function tune Sequence processed, which is multiplied, obtains the second multiplication sequence of the electric power signal, by the discrete sine function of default fine setting frequency with it is described just String FUNCTION MODULATION sequence, which is multiplied, obtains the 3rd multiplication sequence of the electric power signal, by the discrete cosine of the default fine setting frequency Function is multiplied with the cosine function modulation sequence obtains the 4th multiplication sequence of the electric power signal；
    Frequency function block is reduced, for second multiplication sequence and first multiplication sequence to be subtracted each other, obtains institute State the reduction frequency sine sequence of function of electric power signal；4th multiplication sequence is added with the 3rd multiplication sequence, is obtained Obtain the reduction frequency cosine function sequence of the electric power signal；
    Frequency orthogonal block is reduced, for according to the reduction frequency sine sequence of function and the reduction frequency cosine letter Number Sequence obtains the reduction frequency orthogonal sequence of the electric power signal.
  5. 5. the system of the reduction frequency orthogonal sequence according to claim 4 for obtaining electric power signal, it is characterised in that described 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 reduction frequency orthogonal sequence according to claim 4 for obtaining electric power signal, it is characterised in that described Multiplication sequence module is according to expression formula X1 (n)=Xcos(n)sin(ΩsetTn the first multiplication sequence X1 (n)) is obtained, according to Expression formula X2 (n)=Xsin(n)cos(ΩsetTn the second multiplication sequence X2 (n)) is obtained, according to expression formula X3 (n)=Xsin (n)sin(ΩsetTn the 3rd multiplication sequence X3 (n)) is obtained, according to expression formula X4 (n)=Xcos(n)cos(ΩsetTn) obtain Obtain the 4th multiplication sequence X4 (n), wherein n=0,1,2 ..., N-1, Xcos(n) it is the cosine function modulation sequence, Xsin (n) it is the 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, when T is the sampling interval Between, n is series of discrete number, and N is the predetermined sequence length.
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