CN109039034A - Multi-functional gird-connected inverter harmonic compensation method based on any step-length sliding fourier transfonn - Google Patents
Multi-functional gird-connected inverter harmonic compensation method based on any step-length sliding fourier transfonn Download PDFInfo
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02M—APPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
- H02M1/00—Details of apparatus for conversion
- H02M1/12—Arrangements for reducing harmonics from ac input or output
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
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Abstract
Present invention discloses a kind of multi-functional gird-connected inverter harmonic compensation methods based on any step-length sliding fourier transfonn, include the following steps: S1, sampling interception voltage signal and current signal from power grid;S2, fundamental wave reference current is acquired according to the voltage signal calculating interceptedThe current signal that S3, foundation have intercepted acquires harmonic reference current using the method calculating of any step-length sliding fourier transfonnS4, by the fundamental wave reference currentWith harmonic reference currentAddition obtains final reference electric current i*, and active and harmonic compensation is carried out using multi-functional gird-connected inverter.The present invention calculates the specific order harmonic instruction current of gained as reference current using active command electric current and HDFT, " in-situ balancing " and " local compensation " to harmonic wave in micro-capacitance sensor and fundamental wave are realized using the residual capacity of multi-functional gird-connected inverter, the target for having adapted to the customization of power quality flexibility, improves the power quality of micro-capacitance sensor entirety significantly.
Description
Technical field
The present invention relates to a kind of selective harmonic compensation methodes, slide Fu based on any step-length in particular to one kind
The multi-functional gird-connected inverter harmonic compensation method of vertical leaf transformation, belongs to electric power energy technical field.
Background technique
In recent years, be integrated with renewable energy, localised load, energy storage micro-capacitance sensor technology as a kind of special distribution
Electricity generation system has obtained more and more concerns.However, containing a large amount of power electronic equipment in micro-capacitance sensor, part is negative in addition
May also be containing non-linear, uneven and idle characteristic in lotus, this is all greatly degrading micro-capacitance sensor point of common coupling
Power quality at (point of common coupling, PCC).
The power quality of micro-capacitance sensor directly decides that can micro-capacitance sensor with economic, stable state operation.On the one hand, electric energy
Fix price according to quality, high quality and favourable price by be Power Market Development trend, the superiority and inferiority of power quality at micro-capacitance sensor point of common coupling will
It is directly related to the sale of electricity price of micro-capacitance sensor, and influences its economic benefit.On the other hand, the electric energy at micro-capacitance sensor point of common coupling
Quality will also directly influence the stable operation of gird-connected inverter in micro-capacitance sensor, since gird-connected inverter is generally connected to power distribution network
The low-pressure side of transformer, if containing more nonlinear-load in micro-capacitance sensor, the voltage at point of common coupling may exist
Biggish harmonic distortion.This will directly influence the voltage control loop and current regulator of gird-connected inverter, it is made to export electric current
Contain biggish harmonic component.In severe case, it results even in due to gird-connected inverter is stablized because losing and trips.
Multi-functional gird-connected inverter (multi-functional grid-tied inverters's, MFGTIs) has
The above both sides problem is alleviated to effect, MFGTIS is while realizing that renewable energy is grid-connected, moreover it is possible to take into account grid-connected to its
The improvement of power quality at point not only can produce active power and reactive power, but also has and inhibit harmonic wave and uneven point
The function of amount.However, the power quality controlling function of MFGTIS is its ancillary service, the compensation capacity that can be put into is limited.
But contain more multi-functional gird-connected inverters in micro-capacitance sensor, if the surplus of these multi-functional gird-connected inverters can be efficiently used
Covolume amount improves the power quality of micro-capacitance sensor, and " in-situ balancing " of harmonic wave and fundamental wave in micro-capacitance sensor may be implemented and " mend on the spot
Repay ", the propagation of harmonic wave and fundamental wave in micro-capacitance sensor is reduced, this is a new think of for the governing problem of micro-capacitance sensor power quality
Road.
During aforesaid operations, basis and pass that reference current is undoubtedly every subsequent operation are obtained in which way
Where key, and mode relatively conventional at present is calculated based on Fourier transformation, specifically as follows:
Sliding fourier transfonn (Sliding Discrete Fourier transform, SDFT) is in detection harmonic current
When introduce sliding window iteration thought, it is fixed to be translated using Discrete Fourier Transform (Discrete Fourier transform, DFT)
Reason/annular translation feature is replaced the sampled value of previous cycle with the value sampled every time, carries out each harmonic in each frame and contain
The calculating of amount, to substantially increase calculating speed.This method is using the calculating side sample-by-sample (sample-by-sample)
Formula, i.e. one signal sampling sampling point of every input carry out a DFT immediately) operation, it updates and corresponds to spectrum information on frequency point out.This makes
It obtains the signal frequency point output speed that DFT transform generates and is equal to signal input sample rate, met at hard real time signal well
The requirement of reason.
However in the not high signal processing applications of certain requirement of real-time, it is not required that in each signal input sample
It carves all to calculate and generates corresponding frequency point DFT output, it is defeated only need to update primary corresponding frequency point DFT at interval of L (0 < L < M) a clock cycle
Out.Such as: it requires to provide a DFT output transform as a result, the long sliding DFT of single step every L signal in the analysis of a certain signal
Transformation recursive operation mechanism requires that DFT transform must be carried out at each signal input sample moment, is only needing every L clock week
When the frequency point output of phase, the calculating at remaining moment is all dropped, thus the transformation of single step long sliding DFT this requirement of real-time not
Computational efficiency is very low in high signal processing applications.
In conclusion a kind of completely new multi-functional gird-connected inverter harmonic compensation method how is proposed, fully using more
The residual capacity of function gird-connected inverter realizes the considerable improvement of micro-capacitance sensor power quality, also just becomes in the art at present
Technical staff institute urgent problem to be solved.
Summary of the invention
In view of the prior art there are drawbacks described above, the purpose of the present invention is to propose to one kind to slide Fourier based on any step-length
The multi-functional gird-connected inverter harmonic compensation method of transformation.
Specifically, including the following steps:
S1, interception voltage signal and current signal are sampled from power grid by multi-functional gird-connected inverter;
S2, fundamental wave reference current is acquired according to the voltage signal calculating intercepted
The current signal that S3, foundation have intercepted acquires harmonic wave using the method calculating of any step-length sliding fourier transfonn
Reference current
S4, by the fundamental wave reference currentWith harmonic reference currentAddition obtains final reference electric current i*, and according to institute
State final reference electric current i*, use multi-functional gird-connected inverter carry out active and harmonic compensation.
Preferably, S2 specifically comprises the following steps:
S21, the voltage signal that multi-functional gird-connected inverter samples interception from power grid is denoted as uabc, voltage signal is led to
It crosses under Clarke transform to the coordinate system of α β, obtains result
S22, fundamental wave reference current is calculatedCalculation formula is
Wherein, P*Indicate the reference value of the given active power of multi-functional gird-connected inverter, Q*Indicate multi-functional parallel network reverse
The reference value of the given reactive power of device;
S23, by fundamental wave reference currentIt is changed under tri- phase coordinate system of abc by Clarke inversion, obtains result
Preferably, the Clarke transform formula is
The inverse form of the Clarke transform formula is T2s-3s=(3/2*T3s-2s)T。
Preferably, S3 specifically comprises the following steps:
S31, it defines in a discrete-time signal sequence x (n), the discrete Fourier transform formula of M point is
Wherein, M is discrete Fourier transform points, and variable q is a dummy variable,
It is duplicate twiddle factor, k is the frequency domain index value of discrete Fourier transform, AN domain index value when n is signal sampling point;Xn(k) it indicates
K-th of frequency point value of discrete Fourier transform when given time n;
S32, when to obtain step-length L in conjunction with formula in S31 be 1, when n, inscribes k-th of Frequency point spectrum value and is
S33, formula in S32 is extended into any step-length, obtains the expression formula of any step-length sliding discrete Fourier transform
For
Wherein,K-th of frequency point information in vector is updated for L point,
It is in conjunction with the recursive computing formula that two formulas can obtain any step-length sliding fourier transfonn
S34, the recursive computing formula progress transform of any step-length sliding fourier transfonn is obtained into any step-length of single-frequency point
The transmission function of sliding fourier transfonn is
Numerical value substitution function is calculated, the plural number that result is a+bi form is obtained;
S35, result a+bi is handled, processing formula is
Finally obtaining harmonic reference current is
Preferably, S4 includes the following steps:
S41, according to the fundamental wave reference currentWith harmonic reference currentCalculate final reference electric current i*, calculation formula
For
Preferably, S4 further includes following steps:
S42, foundation use quasi- ratio resonant controller track reference electric current, the expression formula of quasi- ratio resonant controller model
For
Wherein, ω1And ωhIt is the natural angular frequency of fundamental wave and h resonance, ωc1And ωchIt is off frequency, KpAnd KrhIt is
The ratio and resonance integral gain of quasi- ratio resonant controller.
Compared with prior art, advantages of the present invention is mainly reflected in the following aspects:
The present invention calculates the specific order harmonic instruction current of gained as reference current using active command electric current and HDFT, utilizes
The residual capacity of multi-functional gird-connected inverter realizes " in-situ balancing " and " local compensation " to harmonic wave in micro-capacitance sensor and fundamental wave,
Reduce the propagation of harmonic wave and fundamental wave in micro-capacitance sensor, has better adapted to the target of power quality flexibility customization, changed significantly
It has been apt to the power quality of micro-capacitance sensor entirety.
In addition, the present invention also provides reference for other relevant issues in same domain, can be opened up on this basis
Extension is stretched, and is applied in field in the technical solution of other correlative compensation methods, has very strong applicability and wide application
Prospect.
In general, using effect of the present invention is good, has very high use and promotional value.
Just attached drawing in conjunction with the embodiments below, the embodiment of the present invention is described in further detail, so that of the invention
Technical solution is more readily understood, grasps.
Detailed description of the invention
Fig. 1 the principle of the present invention schematic diagram;
Fig. 2 is mapped structure figure of the invention;
Fig. 3 is simulation architecture figure of the invention;
Fig. 4 is one of emulation signal graph of the invention;
Fig. 5 is the two of emulation signal graph of the invention;
Fig. 6 is the three of emulation signal graph of the invention;
Fig. 7 is the four of emulation signal graph of the invention.
Specific embodiment
The present invention in view of the drawbacks of the prior art, using any step-length sliding fourier transfonn (Hopping Discrete
Fourier transform, HDFT), can according to the actual application, any sliding step that DFT window is arranged greatly promotes
The operation efficiency of algorithm.
And this new harmonic detection algorithm based on HDFT to be used to calculate the harmonic reference of multi-functional gird-connected inverter
Electric current improves micro-capacitance sensor power quality collectively as the reference current of MFGTIs in addition calculating gained active command electric current.
The reference current of MFGTIs includes 2 parts: one instructs for fundamental wave, and fundamental wave is instructed by upper layer Energy Management System
Or maximum exportable power decision.Another is harmonic wave instruction, is calculated by HDFT algorithm.
As shown in FIG. 1 to 3, present invention discloses a kind of based on the multi-functional grid-connected of any step-length sliding fourier transfonn
Inverter harmonic compensation method, which comprises the steps of:
S1, interception voltage signal and current signal are sampled from power grid by multi-functional gird-connected inverter.
S2, fundamental wave reference current is acquired according to the voltage signal calculating intercepted
S2 specifically comprises the following steps:
S21, the voltage signal that multi-functional gird-connected inverter samples interception from power grid is denoted as uabc, voltage signal is led to
It crosses under Clarke transform to the coordinate system of α β, obtains result
S22, fundamental wave reference current is calculatedCalculation formula is
Wherein, P*Indicate the reference value of the given active power of multi-functional gird-connected inverter, Q*Indicate multi-functional parallel network reverse
The reference value of the given reactive power of device.
S23, by fundamental wave reference currentIt is changed under tri- phase coordinate system of abc by Clarke inversion, obtains result
The Clarke transform formula is
The inverse form of the Clarke transform formula is T2s-3s=(3/2*T3s-2s)T。
The current signal that S3, foundation have intercepted acquires harmonic wave using the method calculating of any step-length sliding fourier transfonn
Reference current
Since HDFT is improved according to SDFT, the principle of sliding fourier transfonn is first sketched.For one
A discrete-time signal sequence x (n), if being carried out continuously M point DFT transform, two continuous frames to it at each signal sampling point moment
It is as shown in Figure 1 that DFT calculates used signal sampling point.As can be seen from the figure when two signals used in n-hour and N+1 moment
Domain sampling point data block has very big similitude, i.e., the sample data block at the latter moment is only by first sample at previous moment
Point is given up along with new sampling point signal, the frequency spectrum at moment continuous for two, it is known that previous moment DFT transform is as a result, logical
Simple iterative recursive is crossed, the output of later moment in time DFT transform is obtained.
Based on above-mentioned thought, S3 specifically comprises the following steps:
S31, it defines in a discrete-time signal sequence x (n), the discrete Fourier transform formula of M point is
Wherein, M is discrete Fourier transform points, and variable q is a dummy variable, q=n-M+1, WM=ej2π/MIt is multiple
Twiddle factor, k are the frequency domain index value of DFT transform, AN domain index value when n is signal sampling point.Xn(k) when indicating given time n
K-th of frequency point value of DFT transform.
Given time n, then the signal sampling point sequence for being used to calculate M point DFT are
Xn=[x (n-M+1), x (n-M+2) ..., x (n-1), x (n)]
=[x (q), x (q+1) ..., x (q+M-2), x (q+M-1)],
For subsequent time n+1, for calculating the signal sampling point sequence of M point DFT are as follows:
Xn+1=[x (n-M+2), x (n-M+3) ..., x (n), x (n+1)]
=[x (q+1), x (q+2) ..., x (q+M-1), x (q+M)],
Comprehensive above formula can obtain, and the n+1 moment spectrum value of k-th of Frequency point is
Substituting into formula can obtain
S32, when to obtain step-length L in conjunction with formula in S31 be 1, when n, inscribes k-th of Frequency point spectrum value and is
S33, formula in S32 is extended into any step-length,
Sliding step L=2 can be obtained by SDFT transformation
Wherein, d (n)=x (n)-x (n-M).
Xn-1(k) and Xn-2(k) relationship between is as follows:
Above-mentioned formula substitution can be acquired
Therefore, as sliding step L=2, the recursion equation of HDFT transformation is
For any sliding step L, Xn(k) and Xn-L(k) transformation relation between can be obtained by continuously bringing L times into.
In order to facilitate derivation, L=2 is considered herea, the case where a >=0, continuously brought by L times, obtain any step-length and slide discrete Fu
In the expression formula of leaf transformation be
Wherein,K-th of frequency in vector (Updating Vector Transform, UVT) is updated for L point
Point information,
It is in conjunction with the recursive computing formula that two formulas can obtain any step-length sliding fourier transfonn
By the above formula visible n moment DFT output can according to the DFT at n-L moment export andTransformation results directly count
It obtains.
According to the definition of UVT we have found thatCalculation formula and DFT definition it is quite similar, therefore we can be with
As calculating DFT, realized using fft algorithmEfficient operation.
Wherein,
The sequence that length is L is resolved into the sequence that two length are L/2 by odd point and even number point by base -2FFT algorithm,
Again the sequence that two length are L/2 is continued by odd even point, until sequence is divided into single-point sequence.
S34, the recursive computing formula progress transform of any step-length sliding fourier transfonn is obtained into any step-length of single-frequency point
The transmission function of sliding fourier transfonn is
HDFT mapped structure figure is as shown in Figure 2.
Unifrequency HDFT algorithm be realized by a comb filter followed by the iir filter of a complex resonance, if
Want to calculate all M point DFT spectrums, needs M resonator, and controlled by a comb filter.
Numerical value substitution function is calculated, the plural number that result is a+bi form is obtained.
S35, result a+bi is handled, processing formula is
Finally obtaining harmonic reference current is
S4, by the fundamental wave reference currentWith harmonic reference currentAddition obtains final reference electric current i*, and according to institute
State final reference electric current i*, use multi-functional gird-connected inverter carry out active and harmonic compensation.
S4 specifically comprises the following steps:
S41, according to the fundamental wave reference currentWith harmonic reference currentCalculate final reference electric current i*, calculation formula
For
S42, foundation use quasi- ratio resonant controller track reference electric current, the expression formula of quasi- ratio resonant controller model
For
Wherein, ω1And ωhIt is the natural angular frequency of fundamental wave and h resonance, ωc1And ωchIt is off frequency, KpAnd KrhIt is
The ratio and resonance integral gain of quasi- ratio resonant controller, h=1,3,5,7....
Specific order harmonic often need to be only compensated in practical engineering application, and (5 times to be such as affected, 7 times, 9 times, 11 is inferior
Harmonic wave) it may make THD to meet national standard, therefore only several MFGTIs need to be used in parallel, carry out active and harmonic compensation just
Better effects can be reached.
Signal when Fig. 4 is indicated without any compensation analyzes analogous diagram, indicates fundametal component shared by 5 subharmonic in circle
19.76%, rate of total harmonics (THD) is about 25.16%.
Fig. 5 indicates that the signal after single MFGTIS is using 5 subharmonic of HDFT algorithm compensation analyzes analogous diagram, can by figure
See that 5 subharmonic amounts are almost nil after harmonic compensation, and THD also drops to 15.57%.
Fig. 6 indicates that biggish 5,7,11,13,17,19 subharmonic is disturbed to fundamental wave all (uses 6 by MFGTIs improvement here
A multi-functional gird-connected inverter parallel connection is realized) after signal analyze analogous diagram, above-mentioned order harmonic is all by good compensation to connect
Nearly 0, THD drops to only 2.43%.
As shown in fig. 7, added active compensation while harmonic wave to administer, because of active compensation, fundamental wave content tails off,
Slightly risen so as to cause THD and each harmonic, meets the claim of this patent.Above-mentioned 4 signals analyze analogous diagram
Demonstrate the accuracy and validity of this patent proposed method.
The present invention calculates the specific order harmonic instruction current of gained as reference current using active command electric current and HDFT, utilizes
The residual capacity of multi-functional gird-connected inverter realizes " in-situ balancing " and " local compensation " to harmonic wave in micro-capacitance sensor and fundamental wave,
Reduce the propagation of harmonic wave and fundamental wave in micro-capacitance sensor, has better adapted to the target of power quality flexibility customization, changed significantly
It has been apt to the power quality of micro-capacitance sensor entirety.
In addition, the present invention also provides reference for other relevant issues in same domain, can be opened up on this basis
Extension is stretched, and is applied in field in the technical solution of other correlative compensation methods, has very strong applicability and wide application
Prospect.
In general, using effect of the present invention is good, has very high use and promotional value.
It is obvious to a person skilled in the art that invention is not limited to the details of the above exemplary embodiments, Er Qie
In the case where without departing substantially from spirit and essential characteristics of the invention, the present invention can be realized in other specific forms.Therefore, no matter
From the point of view of which point, the present embodiments are to be considered as illustrative and not restrictive, and the scope of the present invention is by appended power
Benefit requires rather than above description limits, it is intended that all by what is fallen within the meaning and scope of the equivalent elements of the claims
Variation is included within the present invention, and any reference signs in the claims should not be construed as limiting the involved claims.
In addition, it should be understood that although this specification is described in terms of embodiments, but not each embodiment is only wrapped
Containing an independent technical solution, this description of the specification is merely for the sake of clarity, and those skilled in the art should
It considers the specification as a whole, the technical solutions in the various embodiments may also be suitably combined, forms those skilled in the art
The other embodiments being understood that.
Claims (6)
1. a kind of multi-functional gird-connected inverter harmonic compensation method based on any step-length sliding fourier transfonn, feature exist
In including the following steps:
S1, interception voltage signal and current signal are sampled from power grid by multi-functional gird-connected inverter;
S2, fundamental wave reference current is acquired according to the voltage signal calculating intercepted
The current signal that S3, foundation have intercepted acquires harmonic reference using the method calculating of any step-length sliding fourier transfonn
Electric current
S4, by the fundamental wave reference currentWith harmonic reference currentAddition obtains final reference electric current i*, and according to it is described most
Whole reference current i*, use multi-functional gird-connected inverter carry out active and harmonic compensation.
2. the multi-functional gird-connected inverter harmonic compensation according to claim 1 based on any step-length sliding fourier transfonn
Method, which is characterized in that S2 specifically comprises the following steps:
S21, the voltage signal that multi-functional gird-connected inverter samples interception from power grid is denoted as uabc, by voltage signal by gram
Clarke transforms under the coordinate system of α β, obtains result
S22, fundamental wave reference current is calculatedCalculation formula is
Wherein, P*Indicate the reference value of the given active power of multi-functional gird-connected inverter, Q*Indicate multi-functional gird-connected inverter to
The reference value of fixed reactive power;
S23, by fundamental wave reference currentIt is changed under tri- phase coordinate system of abc by Clarke inversion, obtains result
3. the multi-functional gird-connected inverter harmonic compensation according to claim 2 based on any step-length sliding fourier transfonn
Method, it is characterised in that: the Clarke transform formula is
The inverse form of the Clarke transform formula is T2s-3s=(3/2*T3s-2s)T。
4. the multi-functional gird-connected inverter harmonic compensation according to claim 1 based on any step-length sliding fourier transfonn
Method, which is characterized in that S3 specifically comprises the following steps:
S31, it defines in a discrete-time signal sequence x (n), the discrete Fourier transform formula of M point is
Wherein, M is discrete Fourier transform points, and variable q is a dummy variable, q=n-M+1, WM=ej2π/MIt is multiple rotation
The factor, k are the frequency domain index value of discrete Fourier transform, AN domain index value when n is signal sampling point;Xn(k) given time n is indicated
When discrete Fourier transform k-th of frequency point value;
S32, when to obtain step-length L in conjunction with formula in S31 be 1, when n, inscribes k-th of Frequency point spectrum value and is
S33, formula in S32 is extended into any step-length, the expression formula for obtaining any step-length sliding discrete Fourier transform is
Wherein,K-th of frequency point information in vector is updated for L point,
It is in conjunction with the recursive computing formula that two formulas can obtain any step-length sliding fourier transfonn
S34, the recursive computing formula progress transform of any step-length sliding fourier transfonn is obtained into any step-length sliding of single-frequency point
The transmission function of Fourier transform is
Numerical value substitution function is calculated, the plural number that result is a+bi form is obtained;
S35, result a+bi is handled, processing formula is
Finally obtaining harmonic reference current is
5. the multi-functional gird-connected inverter harmonic compensation according to claim 1 based on any step-length sliding fourier transfonn
Method, which is characterized in that S4 includes the following steps:
S41, according to the fundamental wave reference currentWith harmonic reference currentCalculate final reference electric current i*, calculation formula is
6. the multi-functional gird-connected inverter harmonic compensation according to claim 1 based on any step-length sliding fourier transfonn
Method, which is characterized in that S4 further includes following steps:
S42, foundation use quasi- ratio resonant controller track reference electric current, and the expression formula of quasi- ratio resonant controller model is
Wherein, ω1And ωhIt is the natural angular frequency of fundamental wave and h resonance, ωc1And ωchIt is off frequency, KpAnd KrhIt is quasi- ratio
The ratio and resonance integral gain of example resonant controller.
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Application publication date: 20181218 |