CN108717141A - Method, the measuring system of electrical quantity frequency are measured using single-phase voltage - Google Patents
Method, the measuring system of electrical quantity frequency are measured using single-phase voltage Download PDFInfo
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- CN108717141A CN108717141A CN201810385342.8A CN201810385342A CN108717141A CN 108717141 A CN108717141 A CN 108717141A CN 201810385342 A CN201810385342 A CN 201810385342A CN 108717141 A CN108717141 A CN 108717141A
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- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
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Abstract
The present invention relates to a kind of method, measuring system measuring electrical quantity frequency using single-phase voltage, this method includes：Using being divided between continuous threeNThe sampled data window data of/2 sampled points calculate corresponding recursion Fourier phasor, are established using exemplary frequency deviation values as the Analytical Expression of parameter by above-mentioned recursion Fourier phasor；And using existing intrinsic geometry site between above three recursion Fourier's phasor, calculated rate deviation is calculated, and then obtain signal actual frequency；The wherein described exemplary frequency deviation values are the difference of signal actual frequency and signal predeterminated frequency；The present invention, using that for recursion Fourier's phasor frequency measurement, can eliminate because sample frequency does not track " tail item " influence for the Fourier's phasor brought in signal frequency, obtains accurate frequency measurement result for single-phase electrical quantity.
Description
Technical field
The present invention relates to a kind of method, measuring systems measuring electrical quantity frequency using single-phase voltage.
Background technology
For AC electric power systems, the measurement of frequency, amplitude, phase is extensive, normalization demand.For electric system
And for net operation, if having combined floodgate condition, basis for estimation is built upon the basis of accurate measurement frequency, amplitude, phase
On.Frequency, amplitude, phase measurement poor accuracy, on the one hand may cause automatic device accidentally hair close a floodgate enable, gently then produce
Raw huge dash current, for causing to damage in network operation equipment；Heavy then generation system vibrates, and makes grid disconnection.Another party
Face, it is also possible to owe accurate because measuring, cause to miss closing time.There is a possibility that two systems can not be grid-connected, it is also possible to so that
Miss the best opportunity, cause to close a floodgate thereafter caused by dash current it is bigger than normal.
For frequency, physical essence characterization be sinusoidal quantity signal period, it is harmonic wave that may be in by signal, logical
The influence of the factors such as road background noise.It is a kind of having for row that phase angle change based on recursion Fourier transformation phasor, which goes measurement frequency,
The method for overcoming harmonic wave, background noise of effect, but since sample frequency does not track when signal frequency, deposited in Fourier's phasor
In the influence of " tail item ", thus while for the frequency measurement of three-phase alternating current amount can obtain it is theoretically accurate as a result, for
But there is constant error for blow-up flow.But but largely there is the case where single-phase electrical quantity access in electric system, such as
Access in route protection for the line voltage distribution of reclosing.
Invention content
The object of the present invention is to provide a kind of method, measuring systems measuring electrical quantity frequency using single-phase voltage, so that
It obtains for single-phase electrical quantity when carrying out frequency measurement using recursion Fourier's phasor, the influence of " tail item " can be eliminated, obtain accurate
Frequency measurement result.
In order to solve the above technical problem, the present invention provides a kind of sides measuring electrical quantity frequency using single-phase voltage
Method, including：
Corresponding recursion Fourier phasor is calculated using the sampled data window data for being divided into N/2 sampled point between continuous three,
And it is established using exemplary frequency deviation values as the Analytical Expression of parameter by above-mentioned recursion Fourier phasor；And
Using existing intrinsic geometry site between above three recursion Fourier's phasor, calculated rate deviation is calculated
Value, and then obtain signal actual frequency；Wherein
The exemplary frequency deviation values are the difference of signal actual frequency and signal predeterminated frequency.
Further, it is calculated in corresponding recursion Fu using the sampled data window data for being divided into N/2 sampled point between continuous three
The method of leaf phasor includes：
For single-phase electrical quantity, it is equipped with sample data sequence, i.e.,
x0,x1,x2....xN/2,xN/2+1....xN-1,xN,xN+1...x3N/2-1...x2N-1；
X is chosen from above-mentioned sample data sequence0,x1,x2....xN-1, and calculated by the discrete Fourier transform of recursion
Obtain recursion Fourier's phasorAnd
X is chosen from above-mentioned sample data sequenceN/2,xN/2+1....x3N/2-1, and the discrete Fourier transform for passing through recursion
Recursion Fourier's phasor is calculatedAnd
X is chosen from above-mentioned sample data sequenceN,xN+1...x2N-1, and calculated by the discrete Fourier transform of recursion
Obtain recursion Fourier's phasor
Wherein N is preset per cycle sampled point number, i.e. the data window length of discrete Fourier transform.
Further, the method for calculating the exemplary frequency deviation values includes：
If exemplary frequency deviation values are △ f, and the value range of determination frequency deviation △ f；And
Establish exemplary frequency deviation values △ f calculation formula.
Further, the method for the value range of the determination frequency deviation △ f includes：
A comparison reference α is set, then
If α>0, then △ f>0；
If α<0, then △ f<0.
Further, the calculation formula of the exemplary frequency deviation values △ f, i.e.,Wherein
θ is the phase angle difference of adjacent phasor, and
fmeasFor signal predeterminated frequency；And
Further, the calculation formula of the signal actual frequency, i.e.,
freal=fmeas+△f。
Another aspect, the present invention also provides a kind of measuring systems, including：
Phasor calculation module, the sampled data window data by being divided into N/2 sampled point between continuous three, which calculate, obtains phase
Answer recursion Fourier's phasor；
Frequency computing module is established by above-mentioned recursion Fourier phasor using exemplary frequency deviation values as the Analytical Expression of parameter,
Using existing intrinsic geometry site between above-mentioned continuous three recursion Fourier's phasor, calculated rate deviation is calculated
Value, and then obtain signal actual frequency；Wherein exemplary frequency deviation values are the difference of signal actual frequency and signal predeterminated frequency.
Further, it is calculated in corresponding recursion Fu using the sampled data window data for being divided into N/2 sampled point between continuous three
Leaf phasor, i.e.,
For single-phase electrical quantity, it is equipped with sample data sequence：
x0,x1,x2....xN/2,xN/2+1....xN-1,xN,xN+1...x3N/2-1...x2N-1；
X is chosen from above-mentioned sample data sequence0,x1,x2....xN-1, and calculated by the discrete Fourier transform of recursion
Obtain recursion Fourier's phasorAnd
X is chosen from above-mentioned sample data sequenceN/2,xN/2+1....x3N/2-1, and the discrete Fourier transform for passing through recursion
Recursion Fourier's phasor is calculatedAnd
X is chosen from above-mentioned sample data sequenceN,xN+1...x2N-1, and calculated by the discrete Fourier transform of recursion
To recursion Fourier's phasor
Wherein N is preset per cycle sampled point number, i.e. the data window length of discrete Fourier transform.
Further, the exemplary frequency deviation values are △ f, and the value range of determination frequency deviation △ f, i.e.,
A comparison reference α is set, then
If α>0, then △ f>0, if α<0, then △ f<0, to obtain the value range of exemplary frequency deviation values △ f；And
Exemplary frequency deviation values △ f calculation formula are established, i.e.,
IfWherein
θ is the phase angle of adjacent phasor, and
fmeasFor signal predeterminated frequency；And
Further, the frequency computing module is further adapted for obtaining signal actual frequency, i.e. freal=fmeas+△f。
The invention has the advantages that the present invention measures the method and measuring system of electrical quantity frequency using single-phase voltage,
For single-phase electrical quantity using for recursion Fourier's phasor frequency measurement, the influence of " tail item " can be eliminated, accurate frequency measurement is obtained
As a result.
Description of the drawings
Present invention will be further explained below with reference to the attached drawings and examples.
Fig. 1 is the rotation relationship of corresponding phasor in the present invention in the case of self_part, conj_part and recurrence calculation
Figure；
Fig. 2 is self_parts of the Fig. 1 after positive sequence transformation calculations, the pass of the phase angle change and r, △ f of self_part
System's figure；
Fig. 3 is the discrete Fourier transform for recursion in the present invention, is takenThe three recursion Fourier obtained
Phasor relation figure；
Fig. 4 be withThe phasor diagram for the triangle that three phasors are constituted；
Fig. 5 is the functional block diagram of measuring system of the present invention.
Specific implementation mode
In conjunction with the accompanying drawings, the present invention is further explained in detail.These attached drawings are simplified schematic diagram, only with
Illustration illustrates the basic structure of the present invention, therefore it only shows the composition relevant to the invention.
Assuming that sinusoidal quantity isWherein X is sinusoidal quantity amplitude,It is the initial phase angle of sinusoidal quantity,
frealFor signal actual frequency.Assuming that sample frequency fsample=N × fmeas, fmeasIt is the signal predeterminated frequency of process of measurement identification
(possible fmeas=freal, it is also possible to fmeas≠freal), N is preset per cycle sampled point number and discrete Fourier transform
Data window length.
Define discrete recursion Fourier variationWhereinIt is the sampling interval
Time.Consider △ f=freal-fmeas。
The discrete recursion Fourier transformation of abbreviation obtains：
Wherein WithIt is conjugated each other, i.e. two phases
Amount is using real axis X-axis as symmetry axis.Definition
As △ f=0,Conj_part=0, i.e., as signal actual frequency is equal to the default frequency of signal
Rate, discrete recursion Fourier phasor can accurately reflect original phasor；Otherwise discrete recursion Fourier phasor can not be accurately
Reflect original phasor.In embodiment, self_part is defined as this item, conj_part is defined as tail item.self_
In the case of part, conj_part and recurrence calculation, the rotation relationship of corresponding phasor is as shown in Figure 1.
Fig. 2 is referred to, positive sequence is defined and is transformed to：WhereinIt is A phase electrical quantity
Phasor,Be B phase electrical quantity phasor,It is C phase electrical quantity phasors.ABC three-phases are the three-phases for being in electrically positive sequence.It in backward, is filtered out by positive sequence transformation calculations, only residue self_part, the phase of self_part
Angle variation is related with r, △ f, therefore seeks △ f using phase angle change, and then obtains signal actual frequency.
In the prior art, positive sequence transformation calculations can be used tail item (conj_ only for three-phase alternating current amount at present
Part it) filters out, but for single-phase electrical quantity, since tail item (conj_part) can not eliminate, cannot directly use phase
The variation at angle measures △ f.
Therefore, it selects in the present embodimentThree recursion Fourier's phasors are established, and utilize above-mentioned three
Existing intrinsic geometry site between a recursion Fourier phasor calculates calculated rate deviation, and then it is real to obtain signal
Border frequency.
Concrete implementation mode is as follows：
A kind of method measuring electrical quantity frequency using single-phase voltage is present embodiments provided, including：
Corresponding recursion Fourier phasor is calculated using the sampled data window data for being divided into N/2 sampled point between continuous three,
And it is established using exemplary frequency deviation values as the Analytical Expression of parameter by above-mentioned recursion Fourier phasor；And utilize above three recursion
Existing intrinsic geometry site between Fourier's phasor calculates calculated rate deviation, and then obtains signal actual frequency；
Wherein
The exemplary frequency deviation values are the difference of signal actual frequency and signal predeterminated frequency.
In the present embodiment, it is accordingly passed using the sampled data window data calculating for being divided into N/2 sampled point between continuous three
The method for pushing away Fourier's phasor includes：
For single-phase electrical quantity, it is equipped with sample data sequence, i.e.,
x0,x1,x2....xN/2,xN/2+1....xN-1,xN,xN+1...x3N/2-1...x2N-1；
X is chosen from above-mentioned sample data sequence0,x1,x2....xN-1, and calculated by the discrete Fourier transform of recursion
Obtain recursion Fourier's phasorAnd
X is chosen from above-mentioned sample data sequenceN/2,xN/2+1....x3N/2-1, and the discrete Fourier transform for passing through recursion
Recursion Fourier's phasor is calculatedAnd
X is chosen from above-mentioned sample data sequenceN,xN+1...x2N-1, and calculated by the discrete Fourier transform of recursion
To recursion Fourier's phasor
Wherein N is preset per cycle sampled point number, i.e. the data window length of discrete Fourier transform.
Specifically, the method for calculating the exemplary frequency deviation values includes：If exemplary frequency deviation values are △ f, and determination frequency deviation
The value range of value △ f；And establish exemplary frequency deviation values △ f calculation formula.
The method of the value range of the determination frequency deviation △ f includes：A comparison reference α is set, thenIf α>0, then △ f>0；If α<0, then △ f<0.
The calculation formula of the exemplary frequency deviation values △ f, i.e.,
fmeasFor signal predeterminated frequency；And
Relationship between above three phasor as shown in figure 3, can further abbreviation,
IfAnd
It obtains
So
WithThree phasors constitute triangle show shaped like Fig. 4,
So obtainingAnd then it obtains
θ is the phase angle difference of adjacent phasor.
The calculation formula of the signal actual frequency, i.e.,
freal=fmeas+△f。
As shown in figure 5, the present embodiment additionally provides a kind of measuring system, including：
Phasor calculation module, the sampled data window data by being divided into N/2 sampled point between continuous three, which calculate, obtains phase
Answer recursion Fourier's phasor；
Frequency computing module is established by above-mentioned recursion Fourier phasor using exemplary frequency deviation values as the Analytical Expression of parameter,
Using existing intrinsic geometry site between above-mentioned continuous three recursion Fourier's phasor, calculated rate deviation is calculated
Value, and then obtain signal actual frequency；Wherein exemplary frequency deviation values are the difference of signal actual frequency and signal predeterminated frequency.
Corresponding recursion Fourier phasor is calculated using the sampled data window data for being divided into N/2 sampled point between continuous three,
I.e.
For single-phase electrical quantity, it is equipped with sample data sequence：
x0,x1,x2....xN/2,xN/2+1....xN-1,xN,xN+1...x3N/2-1...x2N-1；
X is chosen from above-mentioned sample data sequence0,x1,x2....xN-1, and calculated by the discrete Fourier transform of recursion
Obtain recursion Fourier's phasorAnd
X is chosen from above-mentioned sample data sequenceN/2,xN/2+1....x3N/2-1, and the discrete Fourier transform for passing through recursion
Recursion Fourier's phasor is calculatedAnd
X is chosen from above-mentioned sample data sequenceN,xN+1...x2N-1, and calculated by the discrete Fourier transform of recursion
To recursion Fourier's phasor
Wherein N is preset measurement with per cycle sampled point number, i.e. the data window length of discrete Fourier transform.
The exemplary frequency deviation values are △ f, and the value range of determination frequency deviation △ f, i.e.,
A comparison reference α is set, then
If α>0, then △ f>0, if α<0, then △ f<0, to obtain the value range of exemplary frequency deviation values △ f；And
Exemplary frequency deviation values △ f calculation formula are established, i.e.,
IfWherein
θ is the phase angle of adjacent phasor, and
fmeasFor signal predeterminated frequency；And
The frequency computing module is suitable for obtaining signal actual frequency, i.e., by freal=fmeas+△f。
Above-mentioned phasor calculation module, frequency computing module measure electrical quantity frequency in above-described embodiment using single-phase voltage
Method has been described in detail, and details are not described herein again.
Method, the measuring system provided by the present invention that electrical quantity frequency is measured using single-phase voltage, for single-phase electrical
Amount can eliminate the influence of " tail item ", obtain accurate frequency measurement result using for recursion Fourier's phasor frequency measurement.
It is enlightenment with above-mentioned desirable embodiment according to the present invention, through the above description, relevant staff is complete
Various changes and amendments can be carried out without departing from the scope of the technological thought of the present invention' entirely.The technology of this invention
Property range is not limited to the contents of the specification, it is necessary to determine its technical scope according to right.
Claims (10)
1. a kind of method measuring electrical quantity frequency using single-phase voltage, which is characterized in that including：
Corresponding recursion Fourier phasor is calculated using the sampled data window data for being divided into N/2 sampled point between continuous three, and is led to
Above-mentioned recursion Fourier phasor is crossed to establish using exemplary frequency deviation values as the Analytical Expression of parameter；And
Using existing intrinsic geometry site between above three recursion Fourier's phasor, calculated rate deviation is calculated,
And then obtain signal actual frequency；Wherein
The exemplary frequency deviation values are the difference of signal actual frequency and signal predeterminated frequency.
2. the method as described in claim 1, which is characterized in that
The method for calculating corresponding recursion Fourier phasor using the sampled data window data for being divided into N/2 sampled point between continuous three
Including：
For single-phase electrical quantity, it is equipped with sample data sequence, i.e.,
x0,x1,x2....xN/2,xN/2+1....xN-1,xN,xN+1...x3N/2-1...x2N-1；
X is chosen from above-mentioned sample data sequence0,x1,x2....xN-1, and be calculated by the discrete Fourier transform of recursion
Recursion Fourier's phasorAnd
X is chosen from above-mentioned sample data sequenceN/2,xN/2+1....x3N/2-1, and calculated by the discrete Fourier transform of recursion
Obtain recursion Fourier's phasorAnd
X is chosen from above-mentioned sample data sequenceN,xN+1...x2N-1, and be calculated and passed by the discrete Fourier transform of recursion
Push away Fourier's phasor
Wherein N is preset per cycle sampled point number, i.e. the data window length of discrete Fourier transform.
3. method as claimed in claim 2, which is characterized in that
The method for calculating the exemplary frequency deviation values includes：
If exemplary frequency deviation values are △ f, and the value range of determination frequency deviation △ f；And
Establish exemplary frequency deviation values △ f calculation formula.
4. method as claimed in claim 3, which is characterized in that
The method of the value range of the determination frequency deviation △ f includes：
A comparison reference α is set, then
If α>0, then △ f>0；
If α<0, then △ f<0.
5. method as claimed in claim 4, which is characterized in that
The calculation formula of the exemplary frequency deviation values △ f, i.e.,Wherein
θ is the phase angle difference of adjacent phasor, and
fmeasFor signal predeterminated frequency；And
6. method as claimed in claim 5, which is characterized in that
The calculation formula of the signal actual frequency, i.e.,
freal=fmeas+△f。
7. a kind of measuring system, which is characterized in that including：
Phasor calculation module, the sampled data window data by being divided into N/2 sampled point between continuous three, which calculate to obtain, accordingly passs
Push away Fourier's phasor；
Frequency computing module is established using exemplary frequency deviation values as the Analytical Expression of parameter by above-mentioned recursion Fourier phasor, is utilized
Existing intrinsic geometry site between above-mentioned continuous three recursion Fourier's phasor calculates calculated rate deviation, into
And obtain signal actual frequency；
Wherein exemplary frequency deviation values are the difference of signal actual frequency and signal predeterminated frequency.
8. measuring system as claimed in claim 7, which is characterized in that
Corresponding recursion Fourier phasor is calculated using the sampled data window data for being divided into N/2 sampled point between continuous three, i.e.,
For single-phase electrical quantity, it is equipped with sample data sequence：
x0,x1,x2....xN/2,xN/2+1....xN-1,xN,xN+1...x3N/2-1...x2N-1；
X is chosen from above-mentioned sample data sequence0,x1,x2....xN-1, and be calculated by the discrete Fourier transform of recursion
Recursion Fourier's phasorAnd
X is chosen from above-mentioned sample data sequenceN/2,xN/2+1....x3N/2-1, and calculated by the discrete Fourier transform of recursion
Obtain recursion Fourier's phasorAnd
X is chosen from above-mentioned sample data sequenceN,xN+1...x2N-1, and be calculated and passed by the discrete Fourier transform of recursion
Push away Fourier's phasor
Wherein N is preset per cycle sampled point number, i.e. the data window length of discrete Fourier transform.
9. measuring system as claimed in claim 8, which is characterized in that
The exemplary frequency deviation values are △ f, and the value range of determination frequency deviation △ f, i.e.,
A comparison reference α is set, then
If α>0, then △ f>0, if α<0, then △ f<0, to obtain the value range of exemplary frequency deviation values △ f；And
Exemplary frequency deviation values △ f calculation formula are established, i.e.,
IfWherein
θ is the phase angle of adjacent phasor, and
fmeasFor signal predeterminated frequency；And
10. measuring system as claimed in claim 9, which is characterized in that
The frequency computing module is further adapted for obtaining signal actual frequency, i.e., by freal=fmeas+△f。
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