CN103592514A - Novel harmonic high-precision detection method - Google Patents
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Abstract
The invention discloses a novel harmonic high-precision detection method. The method comprises: establishing a novel time-frequency filter, restraining frequency of a minus semiaxis by Hilbert transformation, and detecting frequency, amplitude, and phase positions of each subharmonic and inter-harmonics by a time domain convolution method in a high precision manner. From theoretical analysis basis and calculation formula derivation of the method, the method prevents Fourier (FFT) region spectrum leakage, picket fence effect, and non-integral subwave phenomenon. Results of experiment simulation shows that the time domain filtering convolution method is flexible in design and realization, and convenient in engineering real-time realization, and overcomes influence of fundamental frequency on harmonic analysis, and detection precision of frequency, amplitude values, and initial phases of signals including multiple harmonics and inter-harmonics. Frequency, amplitude, and phase of a voltage flicker signal can be obtained by a signal converting equation. For flicker signals polluted by the inter-harmonics, detection results are not influenced.
Description
Technical field
The invention belongs to signal processing technology field, refer to especially
a kind ofnew harmonic high-precision detecting method.
Background technology
Fast development along with China's process of industrialization, installed capacity in power grid continues to increase, in electrical network, the use of power electronic element is also more and more, cause a large amount of harmonic current injection electrical networks, cause sinusoidal wave distortion, the quality of power supply declines, and not only some visual plants of electric system is produced to significant impact; Users have also been produced to serious harm; At present, harmonic wave and electromagnetic interference (EMI), power factor reduce by the three large public hazards that are listed in electric system; Harmonious Waves in Power Systems harm:
(1) harmonic wave can make the power equipment in utility network produce additional loss, has reduced the efficiency of generating, transmission of electricity and consumer.A large amount of third harmonic flow through center line can make circuit overheated, serious even possibility initiation fire;
(2) harmonic wave can affect the normal operation of electrical equipment, makes motor produce the faults such as mechanical vibration and noise, and transformer part is seriously overheated, the apparatus overheats such as capacitor, cable, and insulated part is aging, rotten, and reduction equipment life, until finally damage;
(3) harmonic wave can cause electrical network resonance, several times of amplified harmonic currents decades of times even can may be formed to significant threat to system, and particularly, to capacitor and the reactor of series connection with it, electrical network resonance often can make it to burn;
(4) harmonic wave can cause relay protection and aut.eq. misoperation, causes unnecessary power failure and loss;
(5) harmonic wave can make electrical measuring instrument metering inaccurate, produces error in dipping, brings direct economic loss to power supply department or power consumer;
(6) harmonic wave can produce and disturb near communication system equipment, gently produces noise, and reduction communication quality is heavy causes information dropout, and communication system cannot be worked;
(7) harmonic wave is understood the normal operation of the electronic equipments such as interference calculation machine system, causes loss of data or deadlock;
(8) harmonic wave can affect the serviceability of the equipment such as radio transmitting system, radar system, nuclear magnetic resonance, causes noise and image disorderly.
The high accuracy analysis of electric harmonic is to important in inhibitings such as electric energy metrical, harmonic trend calculating, equipment networking detection, Harmonic Current Compensating In Electric Power System and inhibition; Due to non-synchronous sampling and data brachymemma, adopt Fast Fourier Transform (FFT) (FFT) algorithm to carry out frequency analysis and produce spectrum leakage and fence effect, affect frequency analysis precision;
For reducing this class error, Chinese scholars has proposed based on rectangular window, Hanning window, Hamming window
], Blackman window, Blackman-Harris window, Kaiser window and various improvement window
]deng signal windowed interpolation fft analysis algorithm, the spectrum leakage and the fence effect problem that in the time of alleviating independent application FFT, run into, improved the accuracy of detection of harmonic parameters, but near the harmonic wave of asking integral frequency harmonizing wave cannot be detected; The two spectral lines of employing based on high-order cosine composite window
]or multiline interpolation FFT algorithm carries out first-harmonic and harmonic parameters while estimating, need to separate the equation of higher degree, computing is complicated; Between continuous wavelet transform can be realized pair/and the detection of subharmonic, but there is phase mutual interference in the wavelet function of different scale in frequency domain, while containing the close harmonic component of frequency in detected signal, detection method will lose efficacy; Prony method is the effective ways of harmonic wave, a frequency analysis and modeling, can accurately estimate frequency, amplitude and the phase angle of each sinusoidal component, but need to solve two groups of odd equations and an order polynomial, and computation complexity is high and to noise-sensitive; Also have other method, or frequency resolution is limited, or calculated amount is large, in concrete application, all has limitation.
Summary of the invention
(1) technical matters that will solve
In view of this, fundamental purpose of the present invention is to propose
a kind ofnew harmonic high-precision detecting method,
1) effectivetime frequency Filter design
; 2)hilbert conversion suppresses negative semiaxis frequency
; 3) designconvolution algorithm detects signal each harmonic and a humorous wave frequency, phase and magnitude accurately;
3) the effective theoretical proof of algorithm.
(2) technical scheme
For achieving the above object, the invention provides
a kind ofnew harmonic high-precision detecting method, the method comprises:
design a kind of Time frequency Filter, with Hilbert conversion, suppressed negative semiaxis frequency, by convolution, signal each harmonic and a humorous wave frequency, phase and magnitude detected accurately; In invention, carried out theoretical analysis and calculating formula and derived, the method has been evaded Fourier (FFT) territory spectrum leakage, fence effect and non-whole subwave phenomenon.
Preferably, the Time frequency Filter of described extraction:
Wherein
for step function,
for filter center parameter, coefficient B is used for adjusting filter bandwidht (as getting B=1), ω
0centre frequency; Its frequency-domain expression is:
Wherein
; Fig. 2 provides this time-frequency filter characteristic trend, (a) figure time domain trend, (b) frequency domain trend; They are with centre frequency ω
0and change; By (2) formula and the visible G(ω of Fig. 1 (b), ω
0) only at ω
0centered by narrow-band amplitude remarkable, other is almost nil.
Preferably, the Hilbert of described extraction conversion:
Real signal
hT be defined as
Wherein
for asking convolution,
fourier transform be
,
fourier transform is
A critical nature of analytic signal has retained exactly
positive frequency part, reject
negative frequency part;
Preferably, described extraction
continuous type theoretical analysis:
At ω
0centered by narrow-band within the scope of to have frequency be ω
1the harmonic signal of >0:
Its frequency-domain expression:
（11）
:
Preferably, the parameter initialization of described extraction: sample frequency is fs, sampling period DT=1/fs,
Sampling number is N; Get N
1=[0.9N], N
2=[0.94N].
Preferably, described this invention implementation procedure is shown in Fig. 1, and the time/frequency property of Time frequency Filter as shown in Figure 2.
(3) beneficial effect
1, this new harmonic high-precision detecting method provided by the invention, this inventive method has been evaded Fourier (FFT) territory spectrum leakage, fence effect and non-whole subwave phenomenon; Time-frequency filtering convolution method design realizes flexibly, through engineering approaches real-time implementation is convenient, has overcome the impact of fundamental frequency fluctuation on frequency analysis, to high containing multiple harmonic, the frequency of a harmonic signal, wave amplitude, initial phase accuracy of detection;
2, this new harmonic high-precision detecting method advantage provided by the invention and characteristic:
1) Fourier (FFT) territory spectrum leakage, fence effect and non-whole subwave phenomenon have been evaded;
2) time-frequency filtering convolution method design realization is flexible, through engineering approaches real-time implementation is convenient;
3) this invention is the harmonic wave in detectable signal, also can be used for detecting voltage flicker;
4) algorithm complex is low, and wide accommodation is real-time.
accompanying drawing explanation
Fig. 1 a kind of new harmonic high-precision detecting method process flow diagram provided by the invention;
Fig. 2 is time/frequency property figure of Time frequency Filter provided by the invention;
Fig. 3 is actual value and the detected value contrast of each harmonic characteristic parameter provided by the invention;
Fig. 4 is subfrequency f=350.7Hz result provided by the invention.
embodiment
For making the object, technical solutions and advantages of the present invention clearer, below in conjunction with specific embodiment, and with reference to accompanying drawing, the present invention is described in more detail.
Core content of the present invention is: realize a kind of novel Time frequency Filter, with Hilbert conversion, suppress negative semiaxis frequency, by time domain convolution, signal each harmonic and a humorous wave frequency, phase and magnitude detected accurately; It is parallel that this invention wants theoretical analysis and calculating formula to derive, and the method has been evaded Fourier (FFT) territory spectrum leakage, fence effect and non-whole subwave phenomenon.
As shown in Figure 1, accompanying drawing 1 is a kind of new harmonic high-precision detecting method process flow diagram provided by the invention, and the method comprises the following steps:
Step 101: choose time-frequency filter function;
Step 102: parameter initialization: sample frequency is fs, sampling period DT=1/fs, sampling number is N; Get N
1=[0.9N], N
2=[0.94N];
Step 103: calculate discrete convolution;
Step 104: calculate harmonic frequency f (Hz), amplitude A;
Step 105: calculating harmonic wave prima facies φ (℃).
Described in above-mentioned steps 103, discrete convolution calculation procedure comprises:
If discrete sampling frequency is fs, sampling period DT=
, hits is N; Get N
1=[0.9N], N
2=[0.94N], calculates discrete convolution:
Harmonic frequency f described in above-mentioned steps 104 (Hz), amplitude A calculation procedure comprise:
（19）。
The φ of harmonic wave prima facies described in above-mentioned steps 105 (℃) calculation procedure comprises:
A kind of new harmonic high-precision detecting method process flow diagram based on shown in accompanying drawing 1, Fig. 2 further shows time/frequency property figure of Time frequency Filter.
Below in conjunction with specific embodiment, this new harmonic high-precision detecting method provided by the invention is further described;
experiment:signal contains harmonic wave and 3 subharmonic between first-harmonic, direct current, 2, and their parameter is in Table 1, its expression formula:
Its sample frequency fs=2kHz, sample number N=5000; This paper method testing result is also at table 1 right part; The actual value of each harmonic frequency, amplitude, initial phase and detected value are plotted in to same coordinate diagram 2, and result is very accurate;
Near the concrete diagram 4 of the detection calculations subfrequency f=350.7Hz of his-and-hers watches 1, the horizontal ordinate of figure (a), (b), (c) is sample points; Figure (a) is the amplitude of formula (15), the amplitude of the figure filtered Fourier inversion of (c) signal frequency domain (IFFT), and both are consistent after 500 o'clock; Figure (b) is the instantaneous frequency of formula (16), and figure (d) horizontal ordinate is frequency (Hz), and signal Hilbert converts to obtain analytic signal
frequency domain amplitude.
Above-described specific embodiment; object of the present invention, technical scheme and beneficial effect are further described; institute is understood that; the foregoing is only specific embodiments of the invention; be not limited to the present invention; within the spirit and principles in the present invention all, any modification of making, be equal to replacement, improvement etc., within all should being included in protection scope of the present invention.
Claims (3)
1. a new harmonic high-precision detecting method, it is characterized in that the method comprises: design a kind of novel Time frequency Filter, with Hilbert conversion, suppress negative semiaxis frequency, by time domain convolution, signal each harmonic and a humorous wave frequency, phase and magnitude detected accurately; Derive with calculating formula in this invention theoretical analysis basis, the method has been evaded Fourier (FFT) territory spectrum leakage, fence effect and non-whole subwave phenomenon; Time-frequency filtering convolution method design realizes flexibly, through engineering approaches real-time implementation is convenient, has overcome the impact of fundamental frequency fluctuation on frequency analysis, to high containing multiple harmonic, the frequency of a harmonic signal, wave amplitude, initial phase accuracy of detection; And can detect voltage flicker thus.
2. new harmonic high-precision detecting method according to claim 1, is characterized in that, described novel Time frequency Filter:
1）
Wherein
for step function,
for filter center parameter, coefficient B is used for adjusting filter bandwidht (as getting B=1), ω
0centre frequency;
2）
Wherein
for filter center parameter, coefficient B is used for adjusting filter bandwidht (as getting B=0.04), ω
0centre frequency.
3. new harmonic high-precision detecting method according to claim 1, is characterized in that, described convolution harmonic wave high precision detection algorithm: establishing discrete sampling frequency is fs, sampling period DT=
, hits is N; Get N
1=[0.9N], N
2=[0.94N], calculates discrete convolution:
Harmonic frequency f (Hz), amplitude A, prima facies φ (℃) for being respectively:
，
，
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Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104076203A (en) * | 2014-07-07 | 2014-10-01 | 国家电网公司 | Ultralow-frequency inter-harmonic detection method with negative frequency influence considered |
| CN111579868A (en) * | 2020-05-25 | 2020-08-25 | 云南电网有限责任公司电力科学研究院 | Method and device for measuring higher harmonics |
| CN113640579A (en) * | 2021-10-13 | 2021-11-12 | 四川大学 | Harmonic measurement method based on double spectral line transformation, electronic device and storage medium |
| RU2768238C1 (en) * | 2021-06-23 | 2022-03-23 | Акционерное общество "Концерн "Созвездие" | Method for two-stage selection of spectral components of radio signals in multichannel radio monitoring equipment |
| CN117828279A (en) * | 2024-03-04 | 2024-04-05 | 中国电子产品可靠性与环境试验研究所（（工业和信息化部电子第五研究所）（中国赛宝实验室）） | Pulse signal measurement data processing method and device and computer equipment |
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Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104076203A (en) * | 2014-07-07 | 2014-10-01 | 国家电网公司 | Ultralow-frequency inter-harmonic detection method with negative frequency influence considered |
| CN111579868A (en) * | 2020-05-25 | 2020-08-25 | 云南电网有限责任公司电力科学研究院 | Method and device for measuring higher harmonics |
| CN111579868B (en) * | 2020-05-25 | 2022-06-10 | 云南电网有限责任公司电力科学研究院 | Method and device for measuring higher harmonics |
| RU2768238C1 (en) * | 2021-06-23 | 2022-03-23 | Акционерное общество "Концерн "Созвездие" | Method for two-stage selection of spectral components of radio signals in multichannel radio monitoring equipment |
| CN113640579A (en) * | 2021-10-13 | 2021-11-12 | 四川大学 | Harmonic measurement method based on double spectral line transformation, electronic device and storage medium |
| CN117828279A (en) * | 2024-03-04 | 2024-04-05 | 中国电子产品可靠性与环境试验研究所（（工业和信息化部电子第五研究所）（中国赛宝实验室）） | Pulse signal measurement data processing method and device and computer equipment |
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