CN105203840B - The method and system of zero initial phase SIN function modulation is carried out to electric power signal sequence - Google Patents
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Abstract
The present invention relates to a kind of method and system that the modulation of zero initial phase SIN function is carried out to electric power signal sequence.The present invention obtains positive sequence and anti-pleat sequence by sequence of operations, the positive sequence and anti-pleat sequence are subtracted each other, it is the SIN function modulation sequence of zero initial phase or initial phase near zero by electric power signal sequence modulation in the range of electric power signal sequence initial phase large change.The SIN function modulation sequence that the present invention obtains avoids the influence that signal sequence initial phase changes greatly problem, the SIN function modulation sequence carries the larger signal sequence all phase difference information of numerical value simultaneously, can significantly improve the degree of accuracy of sine parameter measurement, improve anti-harmonic wave and noise jamming.
Description
Technical Field
The invention relates to the technical field of electric power, in particular to a method for performing zero initial phase sine function modulation on an electric power signal sequence and a system for performing zero initial phase sine function modulation on the electric power signal sequence.
Background
Measurements of sinusoidal parameters of the power system include frequency measurements, phase measurements, amplitude measurements, and the like. The Fourier transform is a basic method for realizing sinusoidal parameter measurement and has wide application in power systems. However, with the development of sinusoidal parameter measurement technology, the problems of fourier transform are more prominent, and it is difficult to further meet the requirement of the power system on high accuracy calculation of sinusoidal parameters.
In the aspect of measuring sinusoidal parameters of the power system, there are some improved parameter measuring methods, such as a zero-crossing method, a filter-based measuring method, a wavelet transform-based measuring method, a neural network-based measuring method, a DFT (Discrete fourier transform) -transform-based measuring method, and the like. The rated power frequency of the power grid is near 50Hz (hertz), and the frequency is low sinusoidal. Due to the limitations of the actual signal processing technology and the complexity of signal composition, such as the influence of data quantization background noise generated by signal discrete sampling, the problem of frequency spectrum leakage caused by signal sequence truncation is objectively difficult to avoid, the influence of any initial phase problem of signals, the influence of direct current, sub-harmonic and subharmonic problems in signals and the like, the measurement precision of the algorithms is low, and the harmonic and noise interference resistance is poor.
Disclosure of Invention
In view of the foregoing, there is a need to provide a method and a system for performing zero initial phase sine function modulation on a power signal sequence, which can improve accuracy of sine parameter calculation and improve harmonic and noise immunity.
In order to solve the technical problems, the invention adopts the following technical scheme:
a method for performing zero initial phase sine function modulation on a power signal sequence, comprising the steps of:
obtaining a preliminary sampling sequence length according to the lower limit of the power signal frequency range, a preset sampling frequency and a preset integer signal period number;
performing preliminary sampling on the electric power signal according to the length of the preliminary sampling sequence to obtain a preliminary sampling sequence of the electric power signal;
carrying out frequency initial measurement on the initial sampling sequence to obtain an initial frequency of the power signal, and determining a reference frequency according to the initial frequency;
obtaining the unit cycle sequence length of the power signal according to the preset sampling frequency and the reference frequency;
obtaining a preset sequence length according to the preset integer signal period number and the unit period sequence length;
acquiring a forward sequence from the preliminary sampling sequence according to the preset sequence length;
reversely outputting the forward sequence to obtain a reverse pleat sequence of the forward sequence;
and subtracting the forward sequence and the reverse pleat sequence to obtain a zero initial phase sine function modulation sequence.
A system for zero initial phase sine function modulation of a power signal sequence, comprising:
the preliminary sampling sequence length determining module is used for obtaining the preliminary sampling sequence length according to the lower limit of the power signal frequency range, the preset sampling frequency and the preset integer signal period number;
the preliminary sampling sequence acquisition module is used for preliminarily sampling the electric power signal according to the length of the preliminary sampling sequence to acquire a preliminary sampling sequence of the electric power signal;
a reference frequency determining module, configured to perform frequency initial measurement on the initial sampling sequence, obtain an initial frequency of the power signal, and determine a reference frequency according to the initial frequency;
the unit cycle sequence length determining module is used for obtaining the unit cycle sequence length of the power signal according to the preset sampling frequency and the reference frequency;
the preset sequence length determining module is used for obtaining the length of a preset sequence according to the number of the preset integer signal cycles and the length of the unit cycle sequence;
a forward sequence obtaining module, configured to obtain a forward sequence from the preliminary sampling sequence according to the preset sequence length;
the reverse pleat sequence acquisition module is used for reversely outputting the forward sequence to acquire a reverse pleat sequence of the forward sequence;
and the sine function modulation sequence determining module is used for subtracting the forward sequence and the reverse pleat sequence to obtain a zero initial phase sine function modulation sequence.
The invention relates to a method and a system for modulating a sine function of a zero initial phase of an electric power signal sequence. The sine function modulation sequence obtained by the invention avoids the influence of the problem of large initial phase change of the signal sequence, and simultaneously carries the signal sequence full phase difference information with large numerical value, so that the accuracy of sine parameter measurement can be obviously improved, and the harmonic wave and noise interference resistance can be improved.
Drawings
FIG. 1 is a schematic flow chart illustrating an embodiment of a method for performing zero initial phase sine function modulation on a power signal sequence according to the present invention;
FIG. 2 is a schematic representation of a forward sequence and a reverse pleat sequence of the present invention;
fig. 3 is a schematic structural diagram of a system for performing zero initial phase sine function modulation on a power signal sequence according to an embodiment of the present invention.
Detailed Description
In order to better understand the technical problems to be solved, the technical solutions adopted and the technical effects achieved by the present invention, the following detailed description of the embodiments of the present invention is provided with reference to the accompanying drawings.
As shown in fig. 1, a method for performing zero initial phase sine function modulation on a power signal sequence includes the steps of:
s101, obtaining a preliminary sampling sequence length according to a lower limit of a power signal frequency range, a preset sampling frequency and a preset integer signal cycle number;
s102, performing preliminary sampling on the electric power signal according to the length of the preliminary sampling sequence to obtain a preliminary sampling sequence of the electric power signal;
s103, carrying out frequency initial measurement on the initial sampling sequence, acquiring the initial frequency of the power signal, and determining a reference frequency according to the initial frequency;
s104, obtaining the unit cycle sequence length of the power signal according to the preset sampling frequency and the reference frequency;
s105, obtaining a preset sequence length according to the preset integer signal period number and the unit period sequence length;
s106, acquiring a forward sequence from the preliminary sampling sequence according to the preset sequence length;
s107, reversely outputting the forward sequence to obtain a reverse pleat sequence of the forward sequence;
and S108, subtracting the forward sequence and the reverse pleat sequence to obtain a zero initial phase sine function modulation sequence.
The power signal is a sinusoidal signal with a dominant fundamental component. The sine signal is broadly referred to as sine function signal and cosine function signal. The power signal frequency range is typically 45Hz (hertz) to 55 Hz. So that the lower limit f of the frequency range of the power signalminMay be taken to be 45 Hz. Presetting integer signal period number C2πCan be set according to actual needs, for example, the integer signal period number C can be preset2πSet to an even number, assume 12, etc. In one embodiment, the preliminary sample sequence length N may be determined according to equation (1)start：
Wherein INT () represents rounding; f. ofnIs a preset sampling frequency with the unit of Hz; n is a radical ofstartUnit of (a) is dimensionless, C2πUnit of (a) is dimensionless, fminIs not only a sheetThe bit is Hz.
And after the length of the preliminary sampling sequence is obtained, preliminarily sampling the power signal according to the length of the preliminary sampling sequence. For example, the power signal is a sine function signal of a single fundamental frequency, the sine function signal of the single fundamental frequency is preliminarily sampled according to the length of the preliminary sampling sequence, and an preliminary sampling sequence X of the power signal is obtainedstart(n) is formula (2):
wherein, A is signal amplitude, and the unit can be v; omega is signal frequency, and the unit is rad/s; t isnIs the sampling interval, with the unit of s; f. ofnIs a preset sampling frequency with the unit of Hz; n is a discrete number of sequences, and the unit is dimensionless;is the initial phase of the signal, and the unit is rad; n is a radical ofstartThe unit is dimensionless for the preliminary sample sequence length.
After the preliminary sampling sequence is obtained, the preliminary frequency omega can be obtained by carrying out frequency preliminary measurement on the preliminary sampling sequence through a zero-crossing method, a filtering-based algorithm, a wavelet transform algorithm, a neural network-based algorithm, a DFT (discrete Fourier transform) -based frequency algorithm or a phase difference-based frequency algorithm and the likeoPreliminary frequency ωoIn units of rad/s. In one embodiment, the preliminary frequency may be used as a reference frequency, i.e., reference frequency ωs＝ωoReference frequency omegasIn units of rad/s.
Having obtained the reference frequency, in one embodiment, the unit period sequence length N may be determined according to equation (3)2π：
Wherein INT () is an integer; f. ofnIs a preset sampling frequency with the unit of Hz; f. ofsReference frequency, ω, in HzsReference frequency in rad/s units; n is a radical of2πThe unit of (a) is dimensionless. The sequence length integer quantization per unit period has an error within 1 sampling interval.
Having obtained the sequence length per unit period, in one embodiment, the predetermined sequence length N is determined according to equation (4):
N＝INT(C2πN2π) (4)
wherein INT () is an integer; the unit of N is dimensionless. From equation (4), the predetermined sequence length N and the integer number of signal periods C2πAnd (7) corresponding. The predetermined sequence length N may be a unit period sequence length N2π12 times higher than the original value. The integer number of signal periods included in the predetermined sequence length may have an error.
And after the preset series length N is obtained, acquiring a forward sequence from the preliminary sampling sequence according to the preset sequence length. In one embodiment, the forward sequence X obtained by the present invention is based on the preliminary sampling sequence obtained by equation (2)i(n) is formula (5):
wherein, Xstart(n) is a preliminary sampling sequence; a is the signal amplitude, and the unit can be v; omega is signal frequency, and the unit is rad/s; t isnIs the sampling interval, with the unit of s; n is a discrete number of sequences, and the unit is dimensionless;is the initial phase of the signal, and the unit is rad; n is the forward sequence length, i.e. the predetermined sequence length, and the unit is dimensionless.
Reverse pleated sequence X of the invention based on the forward sequence obtained in formula (5)-i(-n) is formula (6):
wherein β is an inverse convolution sequence initial phase, and the inverse convolution sequence initial phase is a cut-off phase of a forward sequence, namely the cut-off phase of the power signal, and the unit is rad; and N is the length of the reverse pleat sequence, and as shown in FIG. 2, the length of the reverse pleat sequence is the same as that of the forward sequence, and the unit is dimensionless.
Based on the forward sequence of the formula (5) and the inverse pleat sequence obtained by the formula (6), the invention obtains a sine function modulation sequence X with zero initial phase or initial phase near zerosin(n) is formula (7):
wherein,modulating the sequence amplitude for a sine function, wherein the unit can be v;the initial phase of the sequence is modulated by a sine function, and the unit is rad. Initial phase of forward sequenceAnd the change range of the initial phase β of the deconvolution sequence can be 0- + -0.375 π rad.
Because the length of the preset sequence has an error corresponding to the number of the preset integer signal cycles, one reason is the error caused by the error of the reference frequency, and the other reason is the integer error of the length of the preset sequence. If the error is zero, the initial phase of the sine function modulation sequenceIs zero, otherwise the sine function modulates the initial phase of the sequenceAround zero. The initial phaseThe error compared with the zero value is in a direct proportion relation with the error of the preset integer signal period number.
The sine function modulation sequence obtained by the invention avoids the influence of the problem of large initial phase change of the signal sequence, and simultaneously carries the signal sequence full phase difference information with large numerical value, so that the accuracy of sine parameter measurement can be obviously improved, and the harmonic wave and noise interference resistance can be improved.
Based on the same inventive concept, the invention also provides a system for performing zero initial phase sine function modulation on the power signal sequence, and the following describes in detail the specific implementation of the system of the invention with reference to the accompanying drawings.
As shown in fig. 3, a system for performing zero initial phase sine function modulation on a power signal sequence includes:
the preliminary sampling sequence length determining module 101 is configured to obtain a preliminary sampling sequence length according to a lower limit of a power signal frequency range, a preset sampling frequency, and a preset integer signal cycle number;
a preliminary sampling sequence obtaining module 102, configured to perform preliminary sampling on the power signal according to the length of the preliminary sampling sequence, and obtain a preliminary sampling sequence of the power signal;
a reference frequency determining module 103, configured to perform frequency initial measurement on the preliminary sampling sequence, obtain a preliminary frequency of the power signal, and determine a reference frequency according to the preliminary frequency;
a unit cycle sequence length determining module 104, configured to obtain a unit cycle sequence length of the power signal according to the preset sampling frequency and the reference frequency;
a preset sequence length determining module 105, configured to obtain a preset sequence length according to the preset integer signal cycle number and the unit cycle sequence length;
a forward sequence obtaining module 106, configured to obtain a forward sequence from the preliminary sampling sequence according to the preset sequence length;
an inverse-convolution sequence obtaining module 107, configured to reversely output the forward sequence to obtain an inverse-convolution sequence of the forward sequence;
and the sine function modulation sequence determining module 108 is configured to subtract the forward sequence and the inverse pleat sequence to obtain a zero initial phase sine function modulation sequence.
The power signal is a sinusoidal signal with a dominant fundamental component. The sine signal is broadly referred to as sine function signal and cosine function signal. The frequency range of the power signal is generally 45Hz to 55 Hz. So that the lower limit f of the frequency range of the power signalminMay be taken to be 45 Hz. Presetting integer signal period number C2πCan be set according to actual needs, for example, the integer signal period number C can be preset2πSet to an even number. In one embodiment, the preliminary sample sequence length determination module 101 may be based onDetermining a preliminary sample sequence length NstartWhere INT () denotes rounded, fnIs a preset sampling frequency.
After the preliminary sampling sequence length determining module 101 obtains the preliminary sampling sequence length, the preliminary sampling sequence obtaining module 102 performs preliminary sampling on the power signal according to the preliminary sampling sequence length. For example, the power signal is a sine function signal of a single fundamental frequency, the preliminary sampling sequence acquisition module 102 performs preliminary sampling on the sine function signal of the single fundamental frequency according to the length of the preliminary sampling sequence, and an obtained preliminary sampling sequence X of the power signalstart(n) is:wherein A is a signal amplitude; omega is the signal frequency;is the sampling interval; f. ofnA preset sampling frequency is set; n-0, 1,2,3start-1, being a sequence discrete number;is the initial phase of the signal; n is a radical ofstartIs the preliminary sample sequence length.
After the preliminary sampling sequence obtaining module 102 obtains the preliminary sampling sequence, the reference frequency determining module 103 may perform a frequency preliminary measurement on the preliminary sampling sequence by using a zero-crossing method, a filtering-based algorithm, a wavelet transform-based algorithm, a neural network-based algorithm, a DFT-based frequency algorithm, or a phase difference-based frequency algorithm, to obtain a preliminary frequency ωo. In one embodiment, the reference frequency determination module 103 may use the preliminary frequency as a reference frequency, i.e., the reference frequency ωs＝ωo。
After the reference frequency is obtained by the reference frequency determination module 103, in one embodiment, the unit cycle sequence length determination module 104 may be based onDetermining a unit period sequence length N2π. Wherein INT () is an integer, fnIn order to preset the sampling frequency, the sampling frequency is set,fsreference frequency, ω, in HzsIs the reference frequency in rad/s units. The sequence length integer quantization per unit period has an error within 1 sampling interval.
After the unit cycle sequence length determination module 104 obtains the unit cycle sequence length, in one embodiment, the preset sequence length determination module 105 determines the unit cycle sequence length according to N ═ INT (C)2πN2π) The preset sequence length N is determined. Wherein INT () is an integer, C2πFor presetting the number of integer signal cycles, N2πIs the unit period sequence length. From the equation, the predetermined sequence length N and the integer number of signal periods C2πAnd (7) corresponding. The predetermined sequence length N may be a unit period sequence length N2π12 times higher than the original value. The integer number of signal periods included in the predetermined sequence length may have an error.
After the preset sequence length determining module 105 obtains the preset series length N, the forward sequence obtaining module 106 obtains the forward sequence from the preliminary sampling sequence according to the preset sequence length. In one embodiment, the forward sequence acquisition module 106 acquires the forward sequence X based on the preliminary sampling sequence obtained by the preliminary sampling sequence acquisition module 102i(n) is:wherein, Xstart(n) is a preliminary sampling sequence; a is the signal amplitude; omega is the signal frequency; t isnIs the sampling interval; n-0, 1,2, 3.. and N-1, which are sequence discrete numbers; n is less than or equal to Nstart；Is the initial phase of the signal; n is the forward sequence length, i.e. the predetermined sequence length.
Based on the forward sequence obtained by the forward sequence obtaining module 106, the inverse pleat sequence X obtained by the inverse pleat sequence obtaining module 107-i(-n) is: x-i(-n)＝Xi(N-n)＝Asin(-ωTnN + β), where N is 0,1,2,3,.. times, N-1, β is the unwrapped sequence initial phase, which is the cut-off phase of the forward sequence, i.e. the cut-off phase of the power signal, and N is the unwrapped sequence length, which is the same as the forward sequence length as shown in fig. 2.
Based on the forward sequence obtained by the forward sequence obtaining module 106 and the inverse pleat sequence obtained by the inverse pleat sequence obtaining module 107, the sinusoidal function modulation sequence determining module 108 is obtainedModulation sequence X of sine function with zero initial phase or initial phase near zerosin(n) is:
wherein,modulating the sequence amplitude for a sine function;the initial phase of the sequence is modulated for a sine function. Initial phase of forward sequenceAnd the change range of the initial phase β of the deconvolution sequence can be 0- + -0.375 π rad.
Because the length of the preset sequence has an error corresponding to the number of the preset integer signal cycles, one reason is the error caused by the error of the reference frequency, and the other reason is the integer error of the length of the preset sequence. If the error is zero, the initial phase of the sine function modulation sequenceIs zero, otherwise the sine function modulates the initial phase of the sequenceAround zero. The initial phaseThe error compared with the zero value is in a direct proportion relation with the error of the preset integer signal period number.
The sine function modulation sequence obtained by the invention avoids the influence of the problem of large initial phase change of the signal sequence, and simultaneously carries the signal sequence full phase difference information with large numerical value, so that the accuracy of sine parameter measurement can be obviously improved, and the harmonic wave and noise interference resistance can be improved.
The technical features of the embodiments described above may be arbitrarily combined, and for the sake of brevity, all possible combinations of the technical features in the embodiments described above are not described, but should be considered as being within the scope of the present specification as long as there is no contradiction between the combinations of the technical features.
The above-mentioned embodiments only express several embodiments of the present invention, and the description thereof is more specific and detailed, but not construed as limiting the scope of the invention. It should be noted that, for a person skilled in the art, several variations and modifications can be made without departing from the inventive concept, which falls within the scope of the present invention. Therefore, the protection scope of the present patent shall be subject to the appended claims.
Claims (10)
1. A method for performing zero initial phase sine function modulation on a power signal sequence, comprising the steps of:
obtaining a preliminary sampling sequence length according to the lower limit of the power signal frequency range, a preset sampling frequency and a preset integer signal period number;
performing preliminary sampling on the electric power signal according to the length of the preliminary sampling sequence to obtain a preliminary sampling sequence of the electric power signal;
carrying out frequency initial measurement on the initial sampling sequence to obtain an initial frequency of the power signal, and determining a reference frequency according to the initial frequency;
obtaining the unit cycle sequence length of the power signal according to the preset sampling frequency and the reference frequency;
obtaining a preset sequence length according to the preset integer signal period number and the unit period sequence length;
acquiring a forward sequence from the preliminary sampling sequence according to the preset sequence length;
reversely outputting the forward sequence to obtain a reverse pleat sequence of the forward sequence;
and subtracting the forward sequence and the reverse pleat sequence to obtain a zero initial phase sine function modulation sequence.
2. A method of zero initial phase sine function modulation of a power signal sequence as claimed in claim 1, wherein said method is based onDetermining a preliminary sample sequence length NstartWhere INT () denotes rounded, C2πFor presetting integer signal period number, fnTo preset sampling frequency, fminThe lower limit of the power signal frequency range.
3. A method of zero initial phase sine function modulation of a power signal sequence as claimed in claim 1, wherein said method is based onDetermining a unit period sequence length N2πWherein INT () is an integer, fnIn order to preset the sampling frequency, the sampling frequency is set,ωsis the reference frequency.
4. According to claimMethod for zero initial phase sine function modulation of a power signal sequence as claimed in claim 1, characterized in that it is based on N-INT (C)2πN2π) Obtaining the length N of the preset sequence, wherein INT () represents an integer, C2πFor the number of the predetermined integer signal periods, N2πIs the unit period sequence length.
5. The method of claim 1, wherein the power signal is a sine function signal of a single fundamental frequency, and the preliminary sampling sequence is a sine function signal of a zero preliminary phaseWhere A is the signal amplitude, ω is the signal frequency, TnIn order to be the sampling interval of the sample,fnn is a predetermined sampling frequency, N is 0,1,2,3start-1，NstartFor the purpose of preliminary sample sequence length,is the initial phase of the signal;
the forward sequenceWherein N is 0,1,2,3startN is a preset sequence length;
the reverse pleat sequence X-i(-n)＝Xi(N-n)＝Asin(-ωTnn + β), where β is the cutoff phase of the power signal.
6. A system for zero initial phase sine function modulation of a power signal sequence, comprising:
the preliminary sampling sequence length determining module is used for obtaining the preliminary sampling sequence length according to the lower limit of the power signal frequency range, the preset sampling frequency and the preset integer signal period number;
the preliminary sampling sequence acquisition module is used for preliminarily sampling the electric power signal according to the length of the preliminary sampling sequence to acquire a preliminary sampling sequence of the electric power signal;
a reference frequency determining module, configured to perform frequency initial measurement on the initial sampling sequence, obtain an initial frequency of the power signal, and determine a reference frequency according to the initial frequency;
the unit cycle sequence length determining module is used for obtaining the unit cycle sequence length of the power signal according to the preset sampling frequency and the reference frequency;
the preset sequence length determining module is used for obtaining the length of a preset sequence according to the number of the preset integer signal cycles and the length of the unit cycle sequence;
a forward sequence obtaining module, configured to obtain a forward sequence from the preliminary sampling sequence according to the preset sequence length;
the reverse pleat sequence acquisition module is used for reversely outputting the forward sequence to acquire a reverse pleat sequence of the forward sequence;
and the sine function modulation sequence determining module is used for subtracting the forward sequence and the reverse pleat sequence to obtain a zero initial phase sine function modulation sequence.
7. The system of claim 6, wherein the preliminary sample sequence length determination module is based onDetermining a preliminary sample sequence length NstartWhere INT () denotes rounded, C2πFor presetting integer signal period number, fnTo preset sampling frequency, fminThe lower limit of the power signal frequency range.
8. The pair of electric power of claim 6The system for modulating the sine function of the zero initial phase of the signal sequence is characterized in that the unit cycle sequence length determining module is based onDetermining a unit period sequence length N2πWherein INT () is an integer, fnIn order to preset the sampling frequency, the sampling frequency is set,ωsis the reference frequency.
9. The system of claim 6, wherein the predetermined sequence length determination module is based on N-INT (C)2πN2π) Obtaining the length N of the preset sequence, wherein INT () represents an integer, C2πFor the number of the predetermined integer signal periods, N2πIs the unit period sequence length.
10. The system of claim 6, wherein the power signal is a sine function signal of a single fundamental frequency, and the preliminary sampling sequence is a sine function signal of a zero preliminary phaseWhere A is the signal amplitude, ω is the signal frequency, TnIn order to be the sampling interval of the sample,fnn is the predetermined sampling frequency, 0,1,2,3start-1，NstartFor the purpose of preliminary sample sequence length,is the initial phase of the signal;
the forward sequenceWherein N is 0,1,2,3startN is a preset sequence length;
the reverse pleat sequence X-i(-n)＝Xi(N-n)＝Asin(-ωTnn + β), where β is the cutoff phase of the power signal.
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