CN105203840A - Method and system for conducting zero initial phase sine function modulation on electric power signal sequence - Google Patents
Method and system for conducting zero initial phase sine function modulation on electric power signal sequence Download PDFInfo
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Abstract
The invention relates to a method and system for conducting zero initial phase sine function modulation on an electric power signal sequence. A forward sequence and an inverse sequence are obtained through a series of operations, the forward sequence and the inverse sequence are subtracted from each other, and the electric power signal sequence is modulated to a sine function modulation sequence with the zero initial phase or with the initial phase near zero within the large change range of the initial phase of the electric power signal sequence. The obtained sine function modulation sequence avoids the influence of the large initial phase change of the signal sequence, meanwhile, the sine function modulation sequence carries signal sequence all-phase difference information with the large value, the accuracy of sine parameter measurement can be remarkably improved, and harmonic and noise interference resistance is improved.
Description
Technical field
The present invention relates to technical field of electric power, particularly relate to and a kind of electric power signal sequence is carried out to the method for zero initial phase sine function modulation, electric power signal sequence carried out to the system of zero initial phase sine function modulation.
Background technology
The measurement of the sine parameter of electric system comprises frequency measurement, phase measurement, amplitude measurement etc.Fourier transform is the basic skills realizing sine parameter measurement, is widely used in electric system.But along with the development of sine parameter measuring technique, Fourier transform Problems existing is also more aobvious outstanding, and it is difficult to the requirement meeting the calculating of electric system offset of sinusoidal parameter pin-point accuracy further.
In the measurement of electric system sine parameter, also has the measurement method of parameters that some improve, as zero hands over method, based on the mensuration of filtering, based on Wavelet Transform, the mensuration based on neural network, the mensuration etc. that converts based on DFT (DiscreteFourierTransform, discrete Fourier transformation).The specified power frequency of operation of power networks, near 50Hz (hertz), belongs to the sinusoidal frequency that frequency is lower.Due to the complicacy that limitation and the signal of actual signal treatment technology are formed, the data produced as signal discrete sampling quantize ground unrest impact, burst blocks the spectrum leakage problem caused objectively to be difficult to avoid, the impact of any initial phase problem of signal, the impact etc. of the direct current in signal and subharmonic and subharmonic problem, the measuring accuracy of these algorithms is also lower, and anti-harmonic wave and noise poor.
Summary of the invention
Based on this, be necessary for the problems referred to above, a kind of method and system electric power signal sequence being carried out to zero initial phase sine function modulation be provided, the accuracy of sine parameter calculating can be improved, improve anti-harmonic wave and noise.
For solving the problems of the technologies described above, the present invention adopts following technical scheme:
Electric power signal sequence is carried out to a method for zero initial phase sine function modulation, comprises step:
According to the lower limit of frequency power signal scope, default sample frequency and default integer signal period number, obtain preliminary sample sequence length;
According to described preliminary sample sequence length, described electric power signal is tentatively sampled, obtain the preliminary sample sequence of described electric power signal;
Frequency preliminary survey is carried out to described preliminary sample sequence, obtains the first synchronizing frequency of described electric power signal, according to described just synchronizing frequency determination reference frequency;
According to described default sample frequency and described reference frequency, obtain the unit period sequence length of described electric power signal;
According to described default integer signal period number and described unit period sequence length, obtain predetermined sequence length;
According to described predetermined sequence length, from described preliminary sample sequence, obtain forward sequence;
Described forward sequence is oppositely exported, obtains the anti-pleat sequence of described forward sequence;
Described forward sequence and described anti-pleat sequence are subtracted each other, obtains zero initial phase sine function modulation sequence.
Electric power signal sequence is carried out to a system for zero initial phase sine function modulation, comprising:
Preliminary sample sequence length determination modul, for the lower limit according to frequency power signal scope, presets sample frequency and default integer signal period number, obtains preliminary sample sequence length;
Preliminary sample sequence acquisition module, for tentatively sampling to described electric power signal according to described preliminary sample sequence length, obtains the preliminary sample sequence of described electric power signal;
Reference frequency determination module, for carrying out frequency preliminary survey to described preliminary sample sequence, obtains the first synchronizing frequency of described electric power signal, according to described just synchronizing frequency determination reference frequency;
Unit period sequence length determination module, for according to described default sample frequency and described reference frequency, obtains the unit period sequence length of described electric power signal;
Predetermined sequence length determination modul, for according to described default integer signal period number and described unit period sequence length, obtains predetermined sequence length;
Forward retrieval module, for according to described predetermined sequence length, obtains forward sequence from described preliminary sample sequence;
Anti-pleat retrieval module, for described forward sequence oppositely being exported, obtains the anti-pleat sequence of described forward sequence;
Sine function modulation sequence determination module, for described forward sequence and described anti-pleat sequence being subtracted each other, obtains zero initial phase sine function modulation sequence.
The present invention carries out the method and system of zero initial phase sine function modulation to electric power signal sequence, forward sequence and anti-pleat sequence is obtained by sequence of operations, described forward sequence and anti-pleat sequence are subtracted each other, in the larger variation range of electric power signal sequence initial phase, be zero initial phase or the sine function modulation sequence of initial phase near zero by electric power signal sequence modulation.The described sine function modulation sequence that the present invention obtains avoids the impact that burst initial phase changes greatly problem, described sine function modulation sequence carries the larger burst all phase difference information of numerical value simultaneously, can improve the accuracy of sine parameter measurement significantly, improve anti-harmonic wave and noise.
Accompanying drawing explanation
Fig. 1 is the present invention carries out the embodiment of the method for zero initial phase sine function modulation schematic flow sheet to electric power signal sequence;
Fig. 2 is the schematic diagram of forward sequence of the present invention and anti-pleat sequence;
Fig. 3 is the present invention carries out the system embodiment of zero initial phase sine function modulation structural representation to electric power signal sequence.
Embodiment
The technical matters that will solve for a better understanding of the present invention, the technical scheme taked and the technique effect reached, be described in detail the specific embodiment of the present invention below in conjunction with accompanying drawing.
As shown in Figure 1, a kind of method of electric power signal sequence being carried out to zero initial phase sine function modulation, comprises step:
S101, the lower limit according to frequency power signal scope, default sample frequency and default integer signal period number, obtain preliminary sample sequence length;
S102, according to described preliminary sample sequence length, described electric power signal tentatively to be sampled, obtain the preliminary sample sequence of described electric power signal;
S103, frequency preliminary survey is carried out to described preliminary sample sequence, obtain the first synchronizing frequency of described electric power signal, according to described just synchronizing frequency determination reference frequency;
S104, according to described default sample frequency and described reference frequency, obtain the unit period sequence length of described electric power signal;
S105, according to described default integer signal period number and described unit period sequence length, obtain predetermined sequence length;
S106, according to described predetermined sequence length, from described preliminary sample sequence, obtain forward sequence;
S107, described forward sequence oppositely to be exported, obtain the anti-pleat sequence of described forward sequence;
S108, described forward sequence and described anti-pleat sequence to be subtracted each other, obtain zero initial phase sine function modulation sequence.
Electric power signal is a kind of first-harmonic composition is main sinusoidal signal.Sinusoidal signal is extensively made a comment or criticism string function signal and cosine function signal.Frequency power signal scope is generally 45Hz (hertz) ~ 55Hz.So the lower limit f of frequency power signal scope
min45Hz can be taken as.Preset integer signal period number C
2 πcan arrange according to actual needs, such as, can by default integer signal period number C
2 πbe set to even number, be assumed to be 12 etc.In one embodiment, preliminary sample sequence length N can be determined according to formula (1)
start:
Wherein, (int) expression rounds; f
nfor default sample frequency, unit is Hz; N
startunit dimensionless, C
2 πunit dimensionless, f
minunit be Hz.
After obtaining preliminary sample sequence length, according to preliminary sample sequence length, electric power signal is tentatively sampled.Such as, described electric power signal is the sine function signal of single fundamental frequency, tentatively samples according to the sine function signal of preliminary sample sequence length to single fundamental frequency, the preliminary sample sequence X of the electric power signal of acquisition
startn () is formula (2):
n＝0,1,2,3,.....,N
start-1
Wherein, A is signal amplitude, and unit can be v; ω is signal frequency, and unit is rad/s; T
nfor sampling interval, unit is s; f
nfor default sample frequency, unit is Hz; N is series of discrete number, unit dimensionless;
for signal initial phase, unit is rad; N
startfor preliminary sample sequence length, unit dimensionless.
After obtaining preliminary sample sequence, can by zero friendship method, based on filtering algorithm, based on Wavelet Transformation Algorithm, based on neural network algorithm, based on DFT conversion frequency algorithm or based on the frequency algorithm etc. of phase differential, frequency preliminary survey is carried out to preliminary sample sequence, obtain preliminary frequencies omega
o, preliminary frequencies omega
ounit be rad/s.In one embodiment, can using this first synchronizing frequency as reference frequency, i.e. reference frequency ω
s=ω
o, reference frequency ω
sunit be rad/s.
After obtaining reference frequency, in one embodiment, unit period sequence length N can be determined according to formula (3)
2 π:
Wherein, (int) is round numbers; f
nfor default sample frequency, unit is Hz; f
sfor the reference frequency of Hz unit, ω
sfor the reference frequency of rad/s unit; N
2 πunit dimensionless.There is the error in 1 sampling interval in unit period sequence length integer.
After obtaining unit period sequence length, in one embodiment, predetermined sequence length N is determined according to formula (4):
N＝(int)(C
2πN
2π)(4)
Wherein, (int) is round numbers; The unit dimensionless of N.As can be seen from formula (4), predetermined sequence length N and integer signal period number C
2 πcorresponding.Predetermined sequence length N can be unit periodic sequence length N
2 π12 times.May error be there is in the signal period integer that predetermined sequence length comprises.
After obtaining default series length N, according to predetermined sequence length, from described preliminary sample sequence, obtain forward sequence.In one embodiment, based on the preliminary sample sequence that formula (2) obtains, the forward sequence X that the present invention obtains
in () is formula (5):
n＝0,1,2,3,.....,N-1
(5)
N≤N
start
Wherein, X
startn () is preliminary sample sequence; A is signal amplitude, and unit can be v; ω is signal frequency, and unit is rad/s; T
nfor sampling interval, unit is s; N is series of discrete number, unit dimensionless;
for signal initial phase, unit is rad; N is forward sequence length, that is to say predetermined sequence length, unit dimensionless.
Based on the forward sequence that formula (5) obtains, anti-pleat sequence X of the present invention
-i(-n) is formula (6):
X
-i(-n)＝X
i(N-n)＝Asin(-ωT
nn+β)
(6)
n＝0,1,2,3,.....,N-1
Wherein, β is anti-pleat sequence initial phase, and anti-pleat sequence initial phase is the cut-off phase place of forward sequence, i.e. the cut-off phase place of described electric power signal, and unit is rad; N is anti-pleat sequence length, and as shown in Figure 2, anti-pleat sequence length is identical with forward sequence length, unit dimensionless.
Based on the anti-pleat sequence that forward sequence and the formula (6) of formula (5) obtain, the present invention obtains zero initial phase or the sine function modulation sequence X of initial phase near zero
sinn () is formula (7):
n＝0,1,2,3,.....,N-1
Wherein,
for sine function modulation sequence amplitude, unit can be v;
for sine function modulation sequence initial phase, unit is rad.Forward sequence initial phase
can at 0 ~ ± 0.375 π rad with the variation range of anti-pleat sequence initial phase β.
Preset integer signal period number due to predetermined sequence length correspondence and there is error, one of reason is the error that reference frequency error causes, and two of reason is integer errors of predetermined sequence length.If described error is zero, then sine function modulation sequence initial phase
be zero, on the contrary sine function modulation sequence initial phase
near zero.Described initial phase
it is proportional relation between the error of the error compared with null value and described default integer signal period number.
The described sine function modulation sequence that the present invention obtains avoids the impact that burst initial phase changes greatly problem, described sine function modulation sequence carries the larger burst all phase difference information of numerical value simultaneously, can improve the accuracy of sine parameter measurement significantly, improve anti-harmonic wave and noise.
Based on same inventive concept, the present invention also provides a kind of system of electric power signal sequence being carried out to zero initial phase sine function modulation, is described in detail embodiments of systems of the invention below in conjunction with accompanying drawing.
As shown in Figure 3, a kind of system of electric power signal sequence being carried out to zero initial phase sine function modulation, comprising:
Preliminary sample sequence length determination modul 101, for the lower limit according to frequency power signal scope, presets sample frequency and default integer signal period number, obtains preliminary sample sequence length;
Preliminary sample sequence acquisition module 102, for tentatively sampling to described electric power signal according to described preliminary sample sequence length, obtains the preliminary sample sequence of described electric power signal;
Reference frequency determination module 103, for carrying out frequency preliminary survey to described preliminary sample sequence, obtains the first synchronizing frequency of described electric power signal, according to described just synchronizing frequency determination reference frequency;
Unit period sequence length determination module 104, for according to described default sample frequency and described reference frequency, obtains the unit period sequence length of described electric power signal;
Predetermined sequence length determination modul 105, for according to described default integer signal period number and described unit period sequence length, obtains predetermined sequence length;
Forward retrieval module 106, for according to described predetermined sequence length, obtains forward sequence from described preliminary sample sequence;
Anti-pleat retrieval module 107, for described forward sequence oppositely being exported, obtains the anti-pleat sequence of described forward sequence;
Sine function modulation sequence determination module 108, for described forward sequence and described anti-pleat sequence being subtracted each other, obtains zero initial phase sine function modulation sequence.
Electric power signal is a kind of first-harmonic composition is main sinusoidal signal.Sinusoidal signal is extensively made a comment or criticism string function signal and cosine function signal.Frequency power signal scope is generally 45Hz ~ 55Hz.So the lower limit f of frequency power signal scope
min45Hz can be taken as.Preset integer signal period number C
2 πcan arrange according to actual needs, such as, can by default integer signal period number C
2 πbe set to even number.In one embodiment, described preliminary sample sequence length determination modul 101 can basis
determine preliminary sample sequence length N
start, wherein (int) expression rounds, f
nfor default sample frequency.
After described preliminary sample sequence length determination modul 101 obtains preliminary sample sequence length, preliminary sample sequence acquisition module 102 is tentatively sampled to electric power signal according to preliminary sample sequence length.Such as, described electric power signal is the sine function signal of single fundamental frequency, and preliminary sample sequence acquisition module 102 is tentatively sampled according to the sine function signal of preliminary sample sequence length to single fundamental frequency, the preliminary sample sequence X of the electric power signal of acquisition
start(n) be:
wherein, A is signal amplitude; ω is signal frequency;
for sampling interval; f
nfor default sample frequency; N=0,1,2,3 ... .., N
start-1, be series of discrete number;
for signal initial phase; N
startfor preliminary sample sequence length.
After preliminary sample sequence acquisition module 102 obtains preliminary sample sequence, reference frequency determination module 103 can by zero friendship method, based on filtering algorithm, based on Wavelet Transformation Algorithm, based on neural network algorithm, based on DFT conversion frequency algorithm or based on the frequency algorithm etc. of phase differential, frequency preliminary survey is carried out to preliminary sample sequence, obtain preliminary frequencies omega
o.In one embodiment, reference frequency determination module 103 can using this first synchronizing frequency as reference frequency, i.e. reference frequency ω
s=ω
o.
After reference frequency determination module 103 obtains reference frequency, in one embodiment, unit period sequence length determination module 104 can basis
determine unit period sequence length N
2 π.Wherein (int) is round numbers, f
nfor default sample frequency,
f
sfor the reference frequency of Hz unit, ω
sfor the reference frequency of rad/s unit.There is the error in 1 sampling interval in unit period sequence length integer.
After unit period sequence length determination module 104 obtains unit period sequence length, in one embodiment, predetermined sequence length determination modul 105 is according to N=(int) (C
2 πn
2 π) determine predetermined sequence length N.Wherein (int) is round numbers, C
2 πfor default integer signal period number, N
2 πfor unit periodic sequence length.As can be seen from this formula, predetermined sequence length N and integer signal period number C
2 πcorresponding.Predetermined sequence length N can be unit periodic sequence length N
2 π12 times.May error be there is in the signal period integer that predetermined sequence length comprises.
After predetermined sequence length determination modul 105 obtains default series length N, forward retrieval module 106, according to predetermined sequence length, obtains forward sequence from described preliminary sample sequence.In one embodiment, based on the preliminary sample sequence that above-mentioned preliminary sample sequence acquisition module 102 obtains, the forward sequence X that forward retrieval module 106 obtains
i(n) be:
.Wherein, X
startn () is preliminary sample sequence; A is signal amplitude; ω is signal frequency; T
nfor sampling interval; N=0,1,2,3 ... .., N-1 are series of discrete number; N≤N
start;
for signal initial phase; N is forward sequence length, that is to say predetermined sequence length.
Based on the forward sequence that above-mentioned forward retrieval module 106 obtains, the anti-pleat sequence X that anti-pleat retrieval module 107 obtains
-i(-n) is: X
-i(-n)=X
i(N-n)=Asin (-ω T
nn+ β).Wherein n=0,1,2,3 ..., N-1; β is anti-pleat sequence initial phase, and anti-pleat sequence initial phase is the cut-off phase place of forward sequence, i.e. the cut-off phase place of described electric power signal; N is anti-pleat sequence length,
as Fig. 2shown in, anti-pleat sequence length is identical with forward sequence length.
The anti-pleat sequence that the forward sequence obtained based on above-mentioned forward retrieval module 106 and anti-pleat retrieval module 107 obtain, zero initial phase that sine function modulation sequence determination module 108 obtains or the initial phase sine function modulation sequence X near zero
sin(n) be:
n＝0,1,2,3,.....,N-1
Wherein,
for sine function modulation sequence amplitude;
for sine function modulation sequence initial phase.Forward sequence initial phase
can at 0 ~ ± 0.375 π rad with the variation range of anti-pleat sequence initial phase β.
Preset integer signal period number due to predetermined sequence length correspondence and there is error, one of reason is the error that reference frequency error causes, and two of reason is integer errors of predetermined sequence length.If described error is zero, then sine function modulation sequence initial phase
be zero, on the contrary sine function modulation sequence initial phase
near zero.Described initial phase
it is proportional relation between the error of the error compared with null value and described default integer signal period number.
The described sine function modulation sequence that the present invention obtains avoids the impact that burst initial phase changes greatly problem, described sine function modulation sequence carries the larger burst all phase difference information of numerical value simultaneously, can improve the accuracy of sine parameter measurement significantly, improve anti-harmonic wave and noise.
Each technical characteristic of the above embodiment can combine arbitrarily, for making description succinct, the all possible combination of each technical characteristic in above-described embodiment is not all described, but, as long as the combination of these technical characteristics does not exist contradiction, be all considered to be the scope that this instructions is recorded.
The above embodiment only have expressed several embodiment of the present invention, and it describes comparatively concrete and detailed, but can not therefore be construed as limiting the scope of the patent.It should be pointed out that for the person of ordinary skill of the art, without departing from the inventive concept of the premise, can also make some distortion and improvement, these all belong to protection scope of the present invention.Therefore, the protection domain of patent of the present invention should be as the criterion with claims.
Claims (10)
1. electric power signal sequence is carried out to a method for zero initial phase sine function modulation, it is characterized in that, comprise step:
According to the lower limit of frequency power signal scope, default sample frequency and default integer signal period number, obtain preliminary sample sequence length;
According to described preliminary sample sequence length, described electric power signal is tentatively sampled, obtain the preliminary sample sequence of described electric power signal;
Frequency preliminary survey is carried out to described preliminary sample sequence, obtains the first synchronizing frequency of described electric power signal, according to described just synchronizing frequency determination reference frequency;
According to described default sample frequency and described reference frequency, obtain the unit period sequence length of described electric power signal;
According to described default integer signal period number and described unit period sequence length, obtain predetermined sequence length;
According to described predetermined sequence length, from described preliminary sample sequence, obtain forward sequence;
Described forward sequence is oppositely exported, obtains the anti-pleat sequence of described forward sequence;
Described forward sequence and described anti-pleat sequence are subtracted each other, obtains zero initial phase sine function modulation sequence.
2. method of electric power signal sequence being carried out to zero initial phase sine function modulation according to claim 1, is characterized in that, according to
determine preliminary sample sequence length N
start, wherein (int) expression rounds, C
2 πfor default integer signal period number, f
nfor default sample frequency, f
minfor the lower limit of frequency power signal scope.
3. method of electric power signal sequence being carried out to zero initial phase sine function modulation according to claim 1, is characterized in that, according to
determine unit period sequence length N
2 π, wherein (int) is round numbers, f
nfor default sample frequency,
ω
sfor reference frequency.
4. method of electric power signal sequence being carried out to zero initial phase sine function modulation according to claim 1, is characterized in that, according to N=(int) (C
2 πn
2 π) obtain described predetermined sequence length N, wherein (int) represents round numbers, C
2 πfor described default integer signal period number, N
2 πfor described unit period sequence length.
5. method of electric power signal sequence being carried out to zero initial phase sine function modulation according to claim 1, it is characterized in that, described electric power signal is the sine function signal of single fundamental frequency, described preliminary sample sequence
wherein A is signal amplitude, and ω is signal frequency, T
nfor sampling interval,
f
nfor default sample frequency, n=0,1,2,3 ... .., N
start-1, N
startfor preliminary sample sequence length,
for signal initial phase;
Described forward sequence
wherein, n=0,1,2,3 ... .., N-1, N≤N
start, N is predetermined sequence length;
Described anti-pleat sequence X
-i(-n)=X
i(N-n)=Asin (-ω T
nn+ β), wherein β is the cut-off phase place of described electric power signal.
6. electric power signal sequence is carried out to a system for zero initial phase sine function modulation, it is characterized in that, comprising:
Preliminary sample sequence length determination modul, for the lower limit according to frequency power signal scope, presets sample frequency and default integer signal period number, obtains preliminary sample sequence length;
Preliminary sample sequence acquisition module, for tentatively sampling to described electric power signal according to described preliminary sample sequence length, obtains the preliminary sample sequence of described electric power signal;
Reference frequency determination module, for carrying out frequency preliminary survey to described preliminary sample sequence, obtains the first synchronizing frequency of described electric power signal, according to described just synchronizing frequency determination reference frequency;
Unit period sequence length determination module, for according to described default sample frequency and described reference frequency, obtains the unit period sequence length of described electric power signal;
Predetermined sequence length determination modul, for according to described default integer signal period number and described unit period sequence length, obtains predetermined sequence length;
Forward retrieval module, for according to described predetermined sequence length, obtains forward sequence from described preliminary sample sequence;
Anti-pleat retrieval module, for described forward sequence oppositely being exported, obtains the anti-pleat sequence of described forward sequence;
Sine function modulation sequence determination module, for described forward sequence and described anti-pleat sequence being subtracted each other, obtains zero initial phase sine function modulation sequence.
7. according to claim 6 to electric power signal sequence carry out zero initial phase sine function modulation system, it is characterized in that, described preliminary sample sequence length determination modul according to
determine preliminary sample sequence length N
start, wherein (int) expression rounds, C
2 πfor default integer signal period number, f
nfor default sample frequency, f
minfor the lower limit of frequency power signal scope.
8. according to claim 6 to electric power signal sequence carry out zero initial phase sine function modulation system, it is characterized in that, described unit period sequence length determination module according to
determine unit period sequence length N
2 π, wherein (int) is round numbers, f
nfor default sample frequency,
ω
sfor reference frequency.
9. system of electric power signal sequence being carried out to zero initial phase sine function modulation according to claim 6, it is characterized in that, described predetermined sequence length determination modul is according to N=(int) (C
2 πn
2 π) obtain described predetermined sequence length N, wherein (int) represents round numbers, C
2 πfor described default integer signal period number, N
2 πfor described unit period sequence length.
10. system of electric power signal sequence being carried out to zero initial phase sine function modulation according to claim 6, it is characterized in that, described electric power signal is the sine function signal of single fundamental frequency, described preliminary sample sequence
wherein A is signal amplitude, and ω is signal frequency, T
nfor sampling interval,
f
nfor described default sample frequency, n=0,1,2,3 ... .., N
start-1, N
startfor preliminary sample sequence length,
for signal initial phase;
Described forward sequence
wherein, n=0,1,2,3 ... .., N-1, N≤N
start, N is predetermined sequence length;
Described anti-pleat sequence X
-i(-n)=X
i(N-n)=Asin (-ω T
nn+ β), wherein β is the cut-off phase place of described electric power signal.
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