CN105116202A  Method of rapidly obtaining electric signal fundamental wave amplitude and multiple harmonic amplitudes  Google Patents
Method of rapidly obtaining electric signal fundamental wave amplitude and multiple harmonic amplitudes Download PDFInfo
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 CN105116202A CN105116202A CN201510408318.8A CN201510408318A CN105116202A CN 105116202 A CN105116202 A CN 105116202A CN 201510408318 A CN201510408318 A CN 201510408318A CN 105116202 A CN105116202 A CN 105116202A
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Abstract
A method of rapidly obtaining an electric signal fundamental wave amplitude and multiple harmonic amplitudes comprises the following steps of detecting the fundamental wave cycles of a tested electric signal; acquiring the tested electric signal of at least one fundamental wave cycle; according to the fundamental wave cycles, generating two sets of mutually orthogonal multiple rectangular waves of 1/X times of fundamental wave cycle, wherein X is a positive integer greater than 1; selecting N sampling signals in at least one fundamental wave cycle to multiply the two sets of orthogonal multiple rectangular waves respectively and summing, wherein N is a positive integer; obtaining the fundamental wave amplitude and the Xth harmonic amplitude respectively according to a first rectangular wave rule and an Xth rectangular wave rule.
Description
Technical field
The present invention relates to Electric signal processing method, particularly relate to a kind of method of quick obtaining electric signal fundamental voltage amplitude and multiple harmonic amplitude.
Background technology
Current most widely used signal transacting processes electric signal.Usually comprise firstharmonic, harmonic wave and mAcetyl chlorophosphonazo aliquot in electric signal, these different components have different amplitudes, frequency and initial phase.Different components carries different information, by processing this electric signal, extracting different components, can obtain corresponding information.In recent years, due to the develop rapidly of Power Electronic Technique, the application of various power electronic equipment in electric system, industry, traffic and family is increasingly extensive, and the harm that harmonic wave, mAcetyl chlorophosphonazo cause is day by day serious.The measurement of harmonic wave, mAcetyl chlorophosphonazo is the basis of wave form distortion analysis, harmonic source analysis, mains by harmonics Load flow calculation, harmonic compensation and suppression.
Frequency analysis technology is widely used in various fields such as electric energy quality monitoring, electronic product production testing, electric appliances monitoring, is the important technical of carrying out power system monitor, quality inspection, monitoring of tools.
The main method of Measurement of Harmonics in Power System has: based on harmonic detecting, the harmonic detecting based on instantaneous reactive power, the harmonic detecting based on Fourier transform, the harmonic detecting based on neural network, the harmonic detecting based on wavelet transformation of analog bandpass or rejection filter.
Present most widely used harmonic detecting method is the harmonic detecting method based on Fourier transform.In the harmonic detecting of stable state, it is higher that the harmonic detecting method based on Fourier transform has precision, and function is more, easy to use, is easy to the advantages such as realization.
But, highprecision harmonic detecting at present based on Fourier transform scheduling theory all needs complicated computing method to support, and calculated amount is large, and needs high performance hardware, chip support, as DSP at a high speed, cause detection time slow, volume is large, and cost is high, Maintenance Difficulty, the shortcomings such as portability difference, do not need at some the occasion accurately measuring harmonic content, engineer applied does not have practicality.
Summary of the invention
Based on this, the application proposes a kind of method of quick obtaining electric signal fundamental voltage amplitude and multiple harmonic amplitude, the fundamental voltage amplitude of quick calculating current, voltage and multiple harmonic amplitude, and the method calculated amount is little, hardware design only needs singlechip microcomputer just can complete, have speed fast, volume is little, and structure is simple, the feature such as portable, not needing accurately to measure firstharmonic, harmonic amplitude, only needing the place of ordinary surveying firstharmonic and multiple harmonic amplitude, engineering request for utilization can be met.
A method for quick obtaining electric signal fundamental voltage amplitude and multiple harmonic amplitude, it comprises the steps:
Detect the primitive period of tested electric signals;
Gather the tested electric signals of at least one primitive period;
According to the primitive period, generate the mutually orthogonal repeatedly square wave of two groups of 1/X times of primitive periods, wherein X be greater than 1 positive integer;
The N number of sampled signal repeatedly square wave orthogonal with two groups chosen at least one primitive period is multiplied respectively and sues for peace, and wherein N is positive integer;
The amplitude of firstharmonic and X subharmonic is obtained respectively according to a square wave rule and X square wave rule.
Wherein in an embodiment, described in the N number of sampled signal repeatedly square wave orthogonal with two groups chosen at least one primitive period be multiplied respectively in the step of suing for peace, the selected primitive period is a primitive period.
Wherein in an embodiment, in the step of the tested electric signals of described at least one primitive period of collection, the primitive period gathered is a primitive period.
Wherein in an embodiment, the step of the primitive period of described detection tested electric signals detects the primitive period by the method for detection tested electric signals successive zerocrossings.
Wherein in an embodiment, described according to the primitive period, generate in the step of mutually orthogonal repeatedly square wave of two groups of 1/X times of primitive periods, X is 3.
The method of abovementioned acquisition electric signal fundamental voltage amplitude and multiple harmonic amplitude is compared to traditional halfwave rectification fundamental voltage amplitude acquisition methods, and the method for the application has the following advantages:
(1) firstharmonic and multiple harmonic amplitude can be calculated fast simultaneously.
(2) acquisition methods is simple, be multiplied with measured signal by the repeatedly square wave of generating orthogonal, namely be that the cumulative summation of segmentation is carried out to measured signal, obtain measured signal subsection integral value, simple addition and multiplication several times is only needed to complete computing, computing velocity is fast, and Programming is simple.
(3) two groups of orthogonal three square waves are utilized to modulate, without the need to considering repeatedly the phase equalization problem of square wave and multiple harmonic, firstharmonic.
(4) utilize repeatedly square wave to be multiplied with sampled signal to sue for peace the storage values of pilot process, namely segmentation add up summation obtain measured signal subsection integral value, it is reconfigured, fundamental voltage amplitude can be calculated simultaneously, with only to obtain the multiple harmonic amplitude time substantially the same, save operation time.
(5) because computing is simple, hardware requirement is not high, is easy to singlechip microcomputer realizes, and can effectively reduce device volume and cost.
Accompanying drawing explanation
Fig. 1 is the method flow diagram of acquisition electric signal fundamental voltage amplitude of the present invention and multiple harmonic amplitude;
Fig. 2 is given sinusoidal signal and the square wave schematic diagram with its same frequency;
Fig. 3 is orthogonal square wave schematic diagram corresponding to sinusoidal signal.
Embodiment
Please refer to Fig. 1, better embodiment of the present invention provides a kind of method of quick obtaining electric signal fundamental voltage amplitude and multiple harmonic amplitude.The method of this electric signal fundamental voltage amplitude and multiple harmonic amplitude is based on repeatedly square wave quick obtaining electric signal fundamental voltage amplitude and multiple harmonic amplitude.It comprises the steps:
Step S110, detects the primitive period of tested electric signals.
Step S120, gathers the tested electric signals of at least one primitive period.In order to less calculated amount, the electric signal of a primitive period can be taked when reality uses.
Step S130, according to the primitive period, generates the mutually orthogonal repeatedly square wave of two groups of 1/X times of primitive periods, wherein X be greater than 1 positive integer.
Step S140, the N number of sampled signal repeatedly square wave orthogonal with two groups chosen at least one primitive period is multiplied respectively and sues for peace, and wherein N is positive integer.In order to less calculated amount, the electric signal of a primitive period can be chosen when reality uses.
Step S150, obtains the amplitude of firstharmonic and X subharmonic respectively according to a square wave rule and X square wave rule.
Electric signal is generally sinusoidal signal or cosine signal.For given sinusoidal signal A
_{m}sin (ω t), its integration in half period
to the integration of digital sinusoidal signal in half period when converting digital signal to, being cumulative summation:
wherein
t is the sinusoidal signal cycle, N and i is natural number, and sampled point N is larger, and y ' is more close to y.
The given square wave with sinusoidal signal same frequency, as shown in Figure 2, square wave dutycycle is 50%, true amplitude is 1, negative amplitude is1, be multiplied with measured signal with the square wave of same frequency, namely the sinusoidal signal converting digital signal to sued for peace by square wave rule is cumulative within the whole cycle, obtain measured signal integrated value:
According to abovementioned principle, be multiplied with same frequency square wave with fundamental frequency sine wave, namely the cumulative summation of segmentation carried out to measured signal, try to achieve sinusoidal wave integrated value, thus obtain sinusoidal magnitude A
_{m}.When measured signal also contains harmonic wave except firstharmonic, result of calculation contains harmonic amplitude, but harmonic content is less, negligible when not needing accurate Calculation, in this, as fundamental voltage amplitude.
When measured signal contains and mainly contains some multiple harmonics (such as third harmonic), be multiplied with three square waves with measured signal, namely measured signal is added up by three square wave rules within the whole cycle and sue for peace, obtain measured signal integrated value, can in the hope of three in measured signal time and higher hamonic wave amplitude composition, and not containing fundamental voltage amplitude composition, ignore less higher hamonic wave amplitude, namely obtain third harmonic amplitude.
When considering measured signal and square wave phase problem, if measured signal and square wave phase place inconsistent, now be multiplied with measured signal respectively with two groups of orthogonal square waves, namely the cumulative summation of segmentation is carried out to measured signal, obtain measured signal subsection integral value, obtain two groups of results and be designated as M1, M2, then firstharmonic or harmonic amplitude are:
$M=\sqrt{{{M}_{1}}^{2}+{{M}_{2}}^{2}}.$
The method of the acquisition of fundamental voltage amplitude and third harmonic amplitude is introduced below for fundamental voltage amplitude and third harmonic amplitude.Below just illustrate introduction, the art personnel are understandable that this acquisition methods also may be used for the acquisition of other harmonic amplitude, such as 4 subharmonic amplitudes or 5 subharmonic amplitudes.
First primitive period detection can be carried out to tested electric signals when obtaining fundamental voltage amplitude and third harmonic amplitude.The primitive period is detected by detecting tested electric signals successive zerocrossings.Primitive period is for generating two groups of orthogonal three square wave modulation signals.Three squarewave signals refer to that the cycle is the primitive period square wave of 1/3 times.
Carry out sampling to tested electric signals to go forward side by side line number mode convertion.By the primitive period of measured signal, ensure the data at least sampling a primitive period, be located at the N number of point of sampling in the primitive period, measured signal is f (t), then the signal value sequence generated of sampling is f (k), k=1,2 ... N.Wherein, N is positive integer.
According to primitive period T, generate three square waves of two groups of 1/3 times of primitive periods.Two groups of square wave dutycycles are 50%, and true amplitude is 1, and it is orthogonal that negative amplitude is1, two groups of square waves, phase differential 90 degree.Be designated as Y1 respectively, Y2.Two groups that generated orthogonal three square wave modulation signals as shown in Figure 3.
Herein without the need to considering the phase place consensus of three square waves and measured signal firstharmonic, third harmonic, three the square wave phase places namely generated may be different from measured signal third harmonic phase place, do not affect testing result.
Three times orthogonal with two groups for sampled signal square waves are multiplied respectively and sue for peace, namely the cumulative summation of segmentation is carried out to tested electric signals, obtain measured signal subsection integral value, thus obtain firstharmonic and third harmonic amplitude.Third harmonic amplitude and fundamental voltage amplitude can be obtained respectively in two steps herein.
1) third harmonic amplitude is calculated.
Sampled signal f (k) is multiplied with square wave Y1 sue for peace (i.e. accumulating operation), ask firstharmonic and third harmonic amplitude for convenience of using pilot process calculated value simultaneously, point segment record adds up summing value, obtain measured signal subsection integral value, be designated as A1, A2, A3, A4, A5, A6 respectively, wherein
$A2=\underset{k=N/6+1}{\overset{N/3}{\Σ}}f\left(k\right),A3=\underset{k=N/3+1}{\overset{N/2}{\Σ}}f\left(k\right),A4=\underset{k=N/2+1}{\overset{2N/3}{\Σ}}f\left(k\right),A5=\underset{k=2N/3+1}{\overset{5N/6}{\Σ}}f\left(k\right),A6=\underset{k=5N/6+1}{\overset{N}{\Σ}}f\left(k\right)$
Sampled signal f (k) is multiplied with square wave Y2 sue for peace (i.e. accumulating operation), ask firstharmonic and third harmonic amplitude for convenience of using pilot process calculated value simultaneously, point segment record adds up summing value, obtain measured signal subsection integral value, be designated as B1, B2, B3, B4, B5, B6 respectively, B7, wherein
Make M
_{31}=A1+A2+A3+A4+A5+A6
M
_{32}＝B1+B2+B3+B4+B5+B6+B7。
Then, M
_{31}for sampled signal f (k) to be multiplied with square wave Y1 summed result, be measured signal subsection integral value by three square wave Y1 rule combined result, M
_{32}for sampled signal f (k) to be multiplied with square wave Y1 summed result, be measured signal subsection integral value by three square wave Y2 rule combined result, ignore less higher hamonic wave amplitude composition, third harmonic amplitude is:
2) fundamental voltage amplitude is calculated.
Needing is multiplied to sue for peace with measured signal sampled value with two groups of orthogonal square waves obtains measured signal firstharmonic integrated value.Obtain because a square wave can be combined by three square waves, therefore utilize abovementioned record subsection integral value A, B, fundamental voltage amplitude can be calculated simultaneously.
Make M
_{11}=A1A2+A3+A4A5+A6
M
_{12}＝B1B2B3+B4B5B6+B7
Then, result C1, D1 are equivalent to the result that two groups of orthogonal square waves are multiplied with sampled signal, and namely measured signal is by the integrated value of a square wave rule combination, and ignore less harmonic amplitude composition, fundamental voltage amplitude is:
So just obtain fundamental voltage amplitude and the third harmonic amplitude of tested electric signals.
By obtain above electric signal fundamental voltage amplitude and multiple harmonic amplitude method we can see, the method for the application has the following advantages:
(1) firstharmonic and multiple harmonic amplitude can be calculated fast simultaneously.
(2) acquisition methods is simple, be multiplied with measured signal by the repeatedly square wave of generating orthogonal, namely be that the cumulative summation of segmentation is carried out to measured signal, obtain measured signal subsection integral value, simple addition and multiplication several times is only needed to complete computing, computing velocity is fast, and Programming is simple.
(3) two groups of orthogonal three square waves are utilized to modulate, without the need to considering repeatedly the phase equalization problem of square wave and multiple harmonic, firstharmonic.
(4) utilize repeatedly square wave to be multiplied with sampled signal to sue for peace the storage values of pilot process, namely segmentation add up summation obtain measured signal subsection integral value, it is reconfigured, fundamental voltage amplitude can be calculated simultaneously, with only to obtain the multiple harmonic amplitude time substantially the same, save operation time.
(5) because computing is simple, hardware requirement is not high, is easy to singlechip microcomputer realizes, and can effectively reduce device volume and cost.
The above embodiment only have expressed several embodiment of the present invention, and it describes comparatively concrete and detailed, but therefore can not be interpreted as the restriction to the scope of the claims of the present invention.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 (5)
1. a method for quick obtaining electric signal fundamental voltage amplitude and multiple harmonic amplitude, is characterized in that, comprises the steps:
Detect the primitive period of tested electric signals;
Gather the tested electric signals of at least one primitive period;
According to the primitive period, generate the mutually orthogonal repeatedly square wave of two groups of 1/X times of primitive periods, wherein X be greater than 1 positive integer;
The N number of sampled signal repeatedly square wave orthogonal with two groups chosen at least one primitive period is multiplied respectively and sues for peace, and wherein N is positive integer;
The amplitude of firstharmonic and X subharmonic is obtained respectively according to a square wave rule and X square wave rule.
2. the method for quick obtaining electric signal fundamental voltage amplitude according to claim 1 and multiple harmonic amplitude, it is characterized in that, the described N number of sampled signal chosen at least one primitive period repeatedly square wave orthogonal with two groups is multiplied in the step of suing for peace respectively, and the selected primitive period is a primitive period.
3. the method for quick obtaining electric signal fundamental voltage amplitude according to claim 2 and multiple harmonic amplitude, is characterized in that, in the step of the tested electric signals of described at least one primitive period of collection, the primitive period gathered is a primitive period.
4. the method for quick obtaining electric signal fundamental voltage amplitude according to claim 1 and multiple harmonic amplitude, it is characterized in that, the step of the primitive period of described detection tested electric signals detects the primitive period by the method for detection tested electric signals successive zerocrossings.
5. the method for quick obtaining electric signal fundamental voltage amplitude according to any one of claim 1 to 4 and multiple harmonic amplitude, it is characterized in that, described according to the primitive period, generate in the step of mutually orthogonal repeatedly square wave of two groups of 1/X times of primitive periods, X is 3.
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Application publication date: 20151202 