CN108490254A - A kind of broadband multi-frequency signal measurement method based on more algorithm fusions - Google Patents
A kind of broadband multi-frequency signal measurement method based on more algorithm fusions Download PDFInfo
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- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R23/00—Arrangements for measuring frequencies; Arrangements for analysing frequency spectra
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Abstract
The broadband multi-frequency signal measurement method based on more algorithm fusions that the invention discloses a kind of, includes the following steps：To being sampled containing multicomponent broadband multi-frequency signal voltage, electric current for AD acquisitions；Each frequency content contained therein is detected by fft algorithm；For low-frequency oscillation component, after filtering out disturbing high frequency components therein by wave digital lowpass filter；It reuses Prony algorithm and calculates the amplitude of each component, frequency；For harmonic wave, m-Acetyl chlorophosphonazo component, bandpass filtering is carried out by digital band-pass filter, obtains other frequency components X in addition to power frequency component and low-frequency oscillation componenti；It reuses FFT methods and calculates XiAmplitude, frequency parameter；For power frequency component, bandpass filtering is carried out by digital band-pass filter, fixed sampling interval technique phasor correcting algorithm is then used, obtains the phasor, frequency of power frequency component, frequency change rate in broadband multi-frequency signal.The present invention realizes accurate, the quick detection of each component parameters of broadband multi-frequency signal.
Description
Technical field
The broadband multi-frequency signal measurement method based on more algorithm fusions that the present invention relates to a kind of, belong to power system stability with
Control technology field.
Background technology
In recent years, the fast development of intelligent grid and the rise of energy internet so that China is completed and accommodates in the world
Regenerative resource is most, the highest ultra-large complicated interconnected electric power system of transmission voltage grade.Meanwhile effectively to realize new energy
The scale in source accesses, and electric system of new generation shows that power supply type is more, transformation of electrical energy form is more, power converter quantity is more
And load type demand waits new features more.To improve long distance power transmission ability and the flexible control ability of grid power, special (super)
High-voltage alternating or Multi-end flexible direct current transmission, fixation or controllable series compensation become the basic component units of power transmission network framework.Respectively
Kind novel electric power electric equipment, such as solid-state transformer, static synchronous compensator, Thyristor Controlled Series Capacitors, substitution tradition
Power equipment is widely used in field of power.And with HVDC Transmission Technology, new energy power generation technology and FACTS skills
The fast development of art, traditional power grid access a large amount of power electronic equipments, mains by harmonics interference, low-frequency oscillation, sub-synchronous oscillation etc.
Disturbing phenomenon is more frequent, finds in time and the oscillation in the suppression system that takes measures, and becomes and ensures power system security, stabilization
Run one of critical issue urgently to be resolved hurrily.
The measuring apparatus such as current PMU, fault oscillograph and measure and control device both for power grid a certain specific run behavior,
And certain device sample frequencys are relatively low, the different frequency that cannot adapt to increasingly complexity caused by grid power electronization very well is electrical
The quick measurement demand of amount cannot fast and accurately analyze ground state power frequency amount and higher hamonic wave, m-Acetyl chlorophosphonazo, low frequency point simultaneously
The main features amounts such as centre frequency, the amplitudes of various frequency components such as amount provide a strong guarantee for the accurate measurements of grid disturbance.
Invention content
In view of the deficienciess of the prior art, it is an object of the present invention to provide a kind of, the broadband multi-frequency based on more algorithm fusions is believed
Number measurement method, fft analysis, Prony algorithm, Grandke frequency calibrating methods, digital filter are blended, and are realized
Accurate, the quick detections of each component parameters of broadband multi-frequency signal, it is existing for monitoring low-frequency oscillation of electric power system, sub-synchronous oscillation etc.
As providing effective monitoring means.
To achieve the goals above, the present invention is to realize by the following technical solutions：
A kind of broadband multi-frequency signal measurement method based on more algorithm fusions of the present invention, including following steps：
Step (1)：To being sampled containing multicomponent broadband multi-frequency signal voltage, electric current for AD acquisitions；
Step (2)：Each frequency content in step (1) contained by acquisition signal, including low frequency are detected by fft algorithm
Oscillating component, harmonic wave and m-Acetyl chlorophosphonazo component and power frequency component；
Step (3)：For low-frequency oscillation component, after filtering out disturbing high frequency components therein by wave digital lowpass filter；
It reuses the existing Prony algorithms of extension and calculates the amplitude of each component, frequency；
Step (4)：For harmonic wave, m-Acetyl chlorophosphonazo component, bandpass filtering is carried out by digital band-pass filter, obtains removing power frequency
Other frequency components except component and low-frequency oscillation component；Reuse what the FFT methods based on Grandke Spectrum Corrections calculated
Amplitude, frequency parameter；
Step (5)：For power frequency component, bandpass filtering is carried out by digital band-pass filter, it is existing fixed then to use
Interval sampling phasor correcting algorithm obtains the phasor, frequency of power frequency component, frequency change rate in broadband multi-frequency signal.
In step (1), current signal resampling frequency fsFor 4KHz.
In step (1), broadband multi-frequency signal voltage, the mathematical model of current signal are as follows：
In formula (1), XiIt is each frequency component of broadband multi-frequency signal, wiFor the frequency of each frequency component,For each frequency point
The initial phase angle of amount, AiFor the amplitude of each frequency component, i is each frequency component subscript, and i=1,2,3 ..., M, M is that frequency component is total
Number, t is the time.
For low-frequency oscillation component, wiFrequency range is between 0.1Hz-2.5Hz；For power frequency component, wiFrequency range exists
Between 45Hz-55Hz.
In step (2), the long N of data window of FFT spectrum analysis is 4096, and its FFT spectrum is denoted as X (n).
In step (3), the wave digital lowpass filter is 5Hz by frequency.
In step (4), the passband frequency range of digital band-pass filter is 1Hz.
In step (5), the passband frequency range of digital band-pass filter is 10Hz, and bandpass filter centre frequency is
50Hz。
In step (5), bandpass filtering is carried out by digital band-pass filter, obtains the power frequency component of 45Hz-55Hz.
The present invention blends fft analysis, Prony algorithm, Grandke frequency calibrating methods, digital filter, real
The various frequencies such as ground state power frequency amount and higher hamonic wave, m-Acetyl chlorophosphonazo, the low-frequency oscillation component in quick analysis electric power signal are showed
Centre frequency, the amplitude of component；To monitor the low-frequency oscillation in electric system, subsynchronous/supersynchronous oscillation and harmonic wave point in time
Analysis takes measures to ensure unit safety and power system stability operation, provides a kind of effective, reliable means.
Description of the drawings
Fig. 1 is the broadband multi-frequency signal measurement method work flow diagram based on more algorithm fusions of the present invention；
Fig. 2 is containing 4096 FFT spectrum figures of multicomponent voltage signal.
Specific implementation mode
To make the technical means, the creative features, the aims and the efficiencies achieved by the present invention be easy to understand, with reference to
Specific implementation mode, the present invention is further explained.
Referring to Fig. 1, a kind of broadband multi-frequency signal based on more algorithm fusions of the invention unifies method for fast measuring, including
Following steps：
Step (1)：To being sampled containing multicomponent broadband multi-frequency signal voltage, electric current for AD acquisitions；
Step (2)：Frequency content therein is detected by using fft algorithm, realizes the automatic detection and classification of frequency band；
Step (3)：For low-frequency oscillation component signal, divided using High-frequency Interference therein is filtered out after wave digital lowpass filter
After amount, Prony Algorithm Analysis its low frequency component parameter, including the amplitude of each component, frequency are reused；
Step (4)：For harmonic wave, m-Acetyl chlorophosphonazo component, the low-frequency component and high-frequency noise of signal are filtered out through bandpass filter
Component analyzes the electric parameter of each component, including the amplitude of each component, frequency using Grandke spectrum correcting methods；
Step (5)：For power frequency component, then after bandpass filtering, using fixed sampling interval technique phasor correcting algorithm, realize
Dynamic Phasors calculate, and income analysis result parameter includes amplitude, frequency, phase.
In step (1), the current signal resampling frequency fsFor 4KHz.
Shown in the mathematical model such as formula (1) of broadband multi-frequency signal voltage, current signal described in step (1)：
X in formula 1iFor each frequency component of broadband multi-frequency signal, wiFor the frequency of each component,For the initial phase angle of each component,
AiFor the amplitude of each component.For low-frequency oscillation component, wiFrequency range is usually between 0.1Hz-2.5Hz；For power frequency point
Amount, wiFrequency range is usually between 45Hz-55Hz.
The long N of data window of FFT spectrum analysis described in step (2) is 4096, and its FFT spectrum is denoted as X (n).
Low-pass filter described in step (3) is 5Hz by frequency, and step is：
Step (3-1)：Low-pass filtering is carried out to the broadband multi-frequency signal.
Step (3-2)：Prony algorithm, analysis is used to calculate amplitude, the frequency of each component filtered signal.
Bandpass filter passband frequency range described in step (4) is 1Hz, and step is：
Step (4-1)：Bandpass filtering is carried out to the broadband multi-frequency signal, obtains each component except power frequency component and low frequency point
Other frequency components X except amounti。
Step (4-2)：X is calculated using the FFT methods based on Grandke Spectrum CorrectionsiAmplitude, frequency parameter；
Bandpass filter passband frequency range described in step (5) is 10Hz, and bandpass filter centre frequency is 50Hz, and
Step is：
Step (5-1)：Bandpass filtering is carried out to the broadband multi-frequency signal, obtains the power frequency component of 45Hz-55Hz.
Step (5-2)：It using fixed sampling interval technique phasor correcting algorithm, realizes that Dynamic Phasors calculate, calculates broadband multi-frequency letter
The phasor, frequency of power frequency component, frequency change rate in number.
The emulation signal applied is：
X (n)=0.5*cos (2*pi*2*n/4000)+0.4*
cos(2*pi*15*n/4000)+1*cos(2*pi*50*n/4000)+0.3*cos(2*pi*75*n/4000)+
0.4*cos(2*pi*220*n/4000)；
4096 fft analysis are carried out to the signal, it is as shown in Figure 2 to obtain its spectrogram.As shown in Figure 2, by FFT spectrum
After analysis, 5 frequency components can be obtained, frequency is F1=1.953Hz, F2=14.65Hz, F3=49.8Hz, F4=respectively
75.2Hz F5=219.7Hz.
Prony algorithm is reused after 10Hz low-pass filtering for the low frequency component that frequency is 1.953Hz, is obtained
To shown in parameter such as table 1 (low frequency component result of calculation)：
Table 1
| Serial number | Frequency | Amplitude |
| 1 | 2.003Hz | 0.5005 |
For the subsynchronous component that frequency is 14.65Hz, by selected bandpass filter, (centre frequency is
14.6Hz, passband 1Hz) after, it reuses Grandke spectrum correcting methods and calculates its amplitude and frequency parameter, as table 2 is (secondary same
Walk component result of calculation) shown in：
Table 2
| Serial number | Frequency | Amplitude |
| 1 | 14.995Hz | 0.401 |
For the supersynchronous component that frequency is 75.2Hz, by selected bandpass filter, (centre frequency is 75Hz, is led to
Band is 1Hz) after, it reuses Grandke spectrum correcting methods and calculates its amplitude and frequency parameter, as (supersynchronous component calculates table 3
As a result shown in)：
Table 3
| Serial number | Frequency | Amplitude |
| 1 | 75.004Hz | 0.1995 |
For the m-Acetyl chlorophosphonazo component that frequency is 219.7Hz, by selected bandpass filter (centre frequency is 220Hz,
Passband is 1Hz) after, it reuses Grandke spectrum correcting methods and calculates its amplitude and frequency parameter, such as (the m-Acetyl chlorophosphonazo component meter of table 4
Calculate result) shown in：
Table 4
| Serial number | Frequency | Amplitude |
| 1 | 219.997Hz | 0.4003 |
For the power frequency component of 49.8Hz, using phasor correcting algorithm, as a result such as table 5 (power frequency component result of calculation) institute
Show：
Table 5
| Serial number | Frequency | Amplitude |
| 1 | 50.000Hz | 0.9998 |
The above shows and describes the basic principles and main features of the present invention and the advantages of the present invention.The technology of the industry
Personnel are it should be appreciated that the present invention is not limited to the above embodiments, and the above embodiments and description only describe this
The principle of invention, without departing from the spirit and scope of the present invention, various changes and improvements may be made to the invention, these changes
Change and improvement all fall within the protetion scope of the claimed invention.The claimed scope of the invention by appended claims and its
Equivalent thereof.
Claims (9)
1. a kind of broadband multi-frequency signal measurement method based on more algorithm fusions, which is characterized in that including following steps：
Step (1)：To being sampled containing multicomponent broadband multi-frequency signal voltage, electric current for AD acquisitions；
Step (2)：Detect each frequency content in step (1) contained by acquisition signal by fft algorithm, each frequency at
It includes low-frequency oscillation component, harmonic wave and m-Acetyl chlorophosphonazo component and power frequency component to divide；
Step (3)：For low-frequency oscillation component, after filtering out disturbing high frequency components therein by wave digital lowpass filter；Make again
Amplitude, the frequency of each low-frequency oscillation component are calculated with Prony algorithm；
Step (4)：For harmonic wave, m-Acetyl chlorophosphonazo component, bandpass filtering is carried out by digital band-pass filter, obtains removing power frequency component
With each harmonic wave and m-Acetyl chlorophosphonazo component except low-frequency oscillation component；The FFT methods based on Grandke Spectrum Corrections are reused to calculate
The amplitude of each component, frequency parameter；
Step (5)：For power frequency component, bandpass filtering is carried out by digital band-pass filter, then uses fixed sampling interval technique phase
Correcting algorithm is measured, the phasor, frequency of power frequency component, frequency change rate in broadband multi-frequency signal are obtained.
2. the broadband multi-frequency signal measurement method according to claim 1 based on more algorithm fusions, which is characterized in that step
(1) in, current signal resampling frequency fsFor 4KHz.
3. the broadband multi-frequency signal measurement method according to claim 1 based on more algorithm fusions, which is characterized in that step
(1) in, broadband multi-frequency signal voltage, the mathematical model of current signal are as follows：
In formula (1), XiIt is each frequency component of broadband multi-frequency signal, wiFor the frequency of each frequency component,For each frequency component
Initial phase angle, AiFor the amplitude of each frequency component, i is each frequency component subscript, and i=1,2,3 ..., M, M is frequency component sum, t
For the time.
4. the broadband multi-frequency signal measurement method according to claim 3 based on more algorithm fusions, which is characterized in that for
Low-frequency oscillation component, wiFrequency range is between 0.1Hz-2.5Hz；For power frequency component, wiFrequency range 45Hz-55Hz it
Between.
5. the broadband multi-frequency signal measurement method according to claim 1 based on more algorithm fusions, which is characterized in that step
(2) in, the long N of data window of FFT spectrum analysis is 4096, and its FFT spectrum is denoted as X (n), and wherein n is each frequency point in frequency spectrum
Measure serial number, n=1,2,3 ..., N.
6. the broadband multi-frequency signal measurement method according to claim 1 based on more algorithm fusions, which is characterized in that step
(3) in, the wave digital lowpass filter is 5Hz by frequency.
7. the broadband multi-frequency signal measurement method according to claim 1 based on more algorithm fusions, which is characterized in that step
(4) in, the passband frequency range of digital band-pass filter is 1Hz.
8. the broadband multi-frequency signal measurement method according to claim 1 based on more algorithm fusions, which is characterized in that step
(5) in, the passband frequency range of digital band-pass filter is 10Hz, and bandpass filter centre frequency is 50Hz.
9. the broadband multi-frequency signal measurement method according to claim 1 based on more algorithm fusions, which is characterized in that step
(5) in, bandpass filtering is carried out by digital band-pass filter, obtains the power frequency component of 45Hz-55Hz.
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Cited By (3)
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| CN111239489A (en) * | 2018-11-29 | 2020-06-05 | 南京南瑞继保电气有限公司 | Subsynchronous oscillation analysis method combining PRONY and FFT algorithm |
| CN111521898A (en) * | 2020-05-06 | 2020-08-11 | 中国电力科学研究院有限公司 | Power grid broadband signal intelligent sensing terminal and implementation method |
| CN116566041A (en) * | 2023-03-31 | 2023-08-08 | 国网浙江省电力有限公司双创中心 | Power grid broadband oscillation monitoring method and stability control device |
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