CN108400596A - A kind of fractional harmonic wave detection method in single-phase active power filter system and the active filter control method based on the detection method - Google Patents

A kind of fractional harmonic wave detection method in single-phase active power filter system and the active filter control method based on the detection method Download PDF

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Publication number
CN108400596A
CN108400596A CN201810462694.9A CN201810462694A CN108400596A CN 108400596 A CN108400596 A CN 108400596A CN 201810462694 A CN201810462694 A CN 201810462694A CN 108400596 A CN108400596 A CN 108400596A
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subharmonic
current
compensation
detection method
harmonic wave
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杨树德
蒋伟
张继勇
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Yangzhou University
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Yangzhou University
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/01Arrangements for reducing harmonics or ripples
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R23/00Arrangements for measuring frequencies; Arrangements for analysing frequency spectra
    • G01R23/16Spectrum analysis; Fourier analysis
    • G01R23/165Spectrum analysis; Fourier analysis using filters
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E40/00Technologies for an efficient electrical power generation, transmission or distribution
    • Y02E40/40Arrangements for reducing harmonics

Abstract

A kind of fractional harmonic wave detection method in single-phase active power filter system and the active filter control method based on the detection method, belong to electric system Active Power Filter Technology field.Subharmonic current virtual orthographic amount building method to be detected provided by the present invention(Fractional harmonic wave detection method i.e. in single-phase active power filter system), can realize in the case that sample frequency it is fixed it is simple to accurate 90 ° of phase shifts of all subharmonic currents to be detected and algorithm, memory requirements is small, fast response time and will not introduce noise amplification the characteristics of.Using above-mentioned fractional harmonic wave detection method, single-phase shunt active power filter control method provided by the present invention can realize " specified subharmonic compensation " and " Harmonics Compensation " two kinds of operating modes, the achievable harmonic compensation frequency is optional under " specified subharmonic compensation " pattern, and each independent setting for selecting subharmonic degree of compensation.

Description

Fractional harmonic wave detection method in a kind of single-phase active power filter system and based on should The active filter control method of detection method
Technical field
The invention belongs to electric system Active Power Filter Technology field, a kind of be related in single-phase active power filter system gradation The detection method of harmonic wave and the active filter control method based on the detection method.
Background technology
It is a very important ring to specifying the detection method of subharmonic in parallel connection type active electric filter system Section.Wherein, the specified subharmonic detection method based on synchronous rotating angle is used widely, however in three-phase system Unlike, it is needed when being detected to the specified subharmonic in monophase system using the method based on synchronous rotating angle It constructs and virtual component (differing 90 ° with the subharmonic current in phase) that the subharmonic current is orthogonal.
A kind of scheme in the prior art is realized by way of " storage of array+data movement ", this method physics Meaning is clear, still, more memory source can be occupied when overtone order to be detected is more, further, since digital control Discretization feature, when carrying out data movement, it is desirable that mobile step-length must be integer so that be fixed in system sampling frequency In the case of, may certain subharmonic cannot achieve with accurate 90 ° of phase shifts, apply more difficult.
Another kind scheme in the prior art is realized by Second Order Generalized Integrator, and the method significantly reduce memories Demand, but Second Order Generalized Integrator has bandpass characteristics, can reduce response speed when being detected to harmonic current.
Another kind scheme in the prior art is realized by derivative operation, and this method memory requirements is smaller, and responds Speed, but derivative operation can introduce noise amplification in practice, it is caused to face larger difficulty in practical applications.
Invention content
The purpose of the present invention is in view of the above shortcomings of the prior art, provide point in a kind of single-phase active power filter system Subharmonic detection method and active filter control method based on the detection method.
Subharmonic current virtual orthographic amount building method (i.e. single-phase active power filter system to be detected provided by the present invention In fractional harmonic wave detection method), can realize fixed to all subharmonic currents to be detected in sample frequency Accurate 90 ° of phase shifts, but have the characteristics that algorithm is simple, memory requirements is small, fast response time and will not introduce noise amplification.
Using above-mentioned fractional harmonic wave detection method, single-phase shunt active power filter controlling party provided by the present invention Method can realize " specified subharmonic compensation " and " Harmonics Compensation " two kinds of operating modes, can under " specified subharmonic compensation " pattern Realize that the harmonic compensation frequency is optional, and each independent setting for selecting subharmonic degree of compensation.
Technical scheme is as follows:
Fractional harmonic wave detection method in one kind (parallel connection type) single-phase active (electric power) filter system, is by that will load Electric current realizes that, by the way that the parameter of all-pass filter is arranged, realization surpasses h subharmonic currents to be detected by all-pass filter Preceding or 90 ° of phase shifts of lag, obtain the virtual orthographic amount of h subharmonic currents to be detected.Then by load current and all-pass filter Output quantity carry out α β/dq coordinate transforms, using low-pass filtering treatment extract d, q axis DC component, finally by d, q axis DC component carries out dq/ α β coordinate transforms, and gained α shaft currents are h subharmonic currents to be detected.
Single-phase shunt active power filter control method based on above-mentioned detection method is, it can be achieved that " specified subharmonic Compensation " and " Harmonics Compensation " two kinds of operating modes.
Under " specified subharmonic compensation " pattern:It is waited for first using fractional harmonic wave detection method provided by the present invention The DC component of d, q axis (in subharmonic detection process, need to be multiplied by corresponding subharmonic respectively by the individual harmonic current of compensation Degree of compensation carry out dq/ α β coordinate transforms again, ranging from the 0%~100% of degree of compensation), by each harmonic to be compensated The output of electric current and DC voltage outer ring controller is superimposed and is instructed as the output current of active filter, then will output Input of the deviation as repetitive controller between current-order and actual current, finally by the output of repetitive controller and power grid Voltage superposition is used as modulated signal together, generates the pwm signal of each switching tube more afterwards with triangular carrier.
Under " Harmonics Compensation " pattern:Load electricity is obtained using fractional harmonic wave detection method provided by the present invention first Fundamental current in stream, then it is the harmonic current in load current that load current, which subtracts fundamental current, by harmonic current and directly The output of galvanic electricity pressure outer ring controller is superimposed and is instructed as the output current of active filter, then output current is instructed The output of repetitive controller, is finally superimposed by input of the deviation as repetitive controller between actual current with network voltage It is used as modulated signal together, generates the pwm signal of each switching tube more afterwards with triangular carrier.
Beneficial effects of the present invention are as follows:
1) virtual orthographic when to specifying subharmonic to be detected in monophase system is simplified based on synchronous rotating angle The construction algorithm of amount;
It 2) can be in the fixed accurate 90 ° of phase shifts realized to all subharmonic currents to be detected of sample frequency, together When have the characteristics that small memory requirements, fast response time and will not introduce noise amplification;
3) the single-phase active power filter control method based on the subharmonic detection algorithm can realize the harmonic compensation frequency It is optional, and each selection subharmonic degree of compensation independent setting, improve active filter compensation capacity is utilized it is flexible Property.
Description of the drawings
Fig. 1 is the main circuit structure and its operation principle schematic diagram of single-phase shunt active power filter;
Fig. 2 is a kind of fractional harmonic wave detection method provided by the present invention and the specified subharmonic compensation control based on this method Principle processed;
Fig. 3 is based on a kind of Harmonics Compensation control principle of fractional harmonic wave detection method provided by the present invention;
Fig. 4 is in fractional harmonic wave detection method provided by the present invention to fundamental wave, 5 times and 11 subharmonic virtual orthographic amount structures The test result made;
Fig. 5 is the test result of fractional harmonic wave detection method pair 5,11 and 19 subharmonic provided by the present invention;
Fig. 6 is the single-phase active electric-power filter based on fractional harmonic wave detection method provided by the present invention at " specified time Simulation result under harmonic compensation " pattern;
Fig. 7 is the single-phase active electric-power filter based on fractional harmonic wave detection method provided by the present invention at " specified time The result of spectrum analysis of load current and current on line side under harmonic compensation " pattern;
Fig. 8 is the single-phase active electric-power filter based on fractional harmonic wave detection method provided by the present invention " harmonic wave is complete Simulation result under compensation " pattern;
Fig. 9 is the single-phase active electric-power filter based on fractional harmonic wave detection method provided by the present invention " harmonic wave is complete The result of spectrum analysis of load current and current on line side under compensation " pattern;
Figure 10 is the single-phase active electric-power filter based on fractional harmonic wave detection method provided by the present invention at " specified time Under harmonic compensation " pattern, test result when 5 times and 13 subharmonic degree of compensation are 50%;
Figure 11 is the single-phase active electric-power filter based on fractional harmonic wave detection method provided by the present invention at " specified time The spectrum analysis knot of load current and current on line side when harmonic compensation " pattern lower 5 times and 13 subharmonic degree of compensation are 50% Fruit.
Specific implementation mode
The following describes the present invention in detail with reference to the accompanying drawings and specific embodiments.
(1) fractional harmonic wave detection method in monophase system
Referring to Fig.1, the operation principle of single-phase active electric-power filter is:To load current iLIn harmonic wave be detected, Then active filter is adjusted by control system so that its output current iAPFIn harmonic wave and load current in harmonic wave size It is equal, to realize the compensation to harmonic wave in load current.With reference to Fig. 2, a kind of subharmonic detection side provided by the present invention Method is embodied according to the following steps:
Step 1 detects load current i by current Hall sensorL
If step 2, harmonic wave to be detected are h subharmonic, the load current i that will be detectedLBy all-pass wave filtering operation, The output of all-pass filter is the virtual β shaft currents i of constructionβ.h, the domains the s description of all-pass wave filtering algorithm is as shown in formula (1), formula Middle ω0For power frequency angular frequency;
By the frequency response of analysis mode (1) it is found that Gaf(s) amplitude-versus-frequency curve is 0dB under all frequencies, i.e., All-pass filter will not change the amplitude of original signal, therefore will not introduce noise amplification in practical applications;Analyze Gaf(s) phase Frequency characteristic curve is it is found that all-pass filter is h ω to frequency0Signal can introduce 90 ° of delayed phase.As it can be seen that formula (1) is retouched It is h ω that the all-pass filter stated, which can be constructed under the premise of not changing signal amplitude for frequency,0The virtual component of signal in orthogonal. In addition, with reference to formula (1), all-pass filter is first-order system, is easily achieved in digital control and memory requirements is less.
With reference to Fig. 4, fundamental current that amplitude is 40A, 5 times and 11 subharmonic currents are passed through into corresponding all-pass wave filtering respectively Operation obtains corresponding virtual β shaft currents, it is seen then that obtained virtual β shaft currents lag behind 90 ° of original signal respectively, realize list The construction of phase current virtual orthographic amount.
Step 3, reference formula (2), by load current iLWith the output i of all-pass filterβ.hCarry out α β/dq coordinate transforms (electric network voltage phase used in coordinate transform is obtained by phaselocked loop, and phaselocked loop no longer embodies in fig. 2), respectively obtains id.h And iq.h
Step 4, the i to obtainingd.hAnd iq.hLow-pass filtering treatment is carried out, DC component therein is extractedWith
Step 5, reference formula (3), to id.hAnd iq.hIn DC componentWithCarry out dq/ α β coordinate transforms, obtained α Shaft current is h subharmonic i to be detectedh
With reference to Fig. 5, three-phase diode commutating zone resistive load is accessed into power grid, it is humorous using gradation provided by the present invention Wave detecting method is to the testing result of 5 times, 7 times in A phase load electric currents and 11 subharmonic:5 subharmonic current peak value 64.11A; 11 subharmonic current peak value 25.19A;19 subharmonic current peak value 11.71A.Result of spectrum analysis is shown 5 in A phase load electric currents The peak value of subharmonic current is 64.17A;The peak value of 11 subharmonic currents is 25.36A;The peak value of 19 subharmonic currents is 12.06A.As it can be seen that fractional harmonic wave detection method provided by the present invention can accurately detect that each selection time in monophase system is humorous Wave electric current.
(2) the single-phase active electric-power filter control based on fractional harmonic wave detection method provided by the present invention
Based on above-mentioned fractional harmonic wave detection method, single-phase active electric-power filter provided by the present invention is operable with two kinds Pattern:" specified subharmonic compensation " pattern and " Harmonics Compensation " pattern.Specified subharmonic compensation " pattern is applicable to compensate The few situation of overtone order, " Harmonics Compensation " pattern is applicable to the feelings compensated to a wide range of harmonic frequency Condition, in engineer application, user can be set according to actual conditions the operating mode of active filter.With reference to Fig. 2, " specified time humorous The control of active filter is implemented according to the following steps under wave compensation " pattern:
Step 1, the actual value work for obtaining the given value of DC voltage and sampling are poor, are obtained after pi regulator active Watt current given value I of the filter under dq coordinate systemsd.ref
Step 2 enables Iq.ref=0, with reference to formula (3), using the I obtained by step 1d.refDq/ α β coordinate transforms are carried out, are obtained IαAs watt current given value of the active filter under α β coordinate systems;
Step 3 detects load current i by current Hall sensorL, right according to the harmonic compensation number that user selects Each harmonic carries out step 2, step 3 and step 4 operation in " fractional harmonic wave detection method in monophase system ", obtains each By selection subharmonicWith
Step 4, will be obtained each by selection subharmonicWithIt is multiplied by the benefit of corresponding subharmonic set by user Repay degree Kh(0%<Kh≤ 100%);
Step 5, with reference to formula (3), by each by selection subharmonicWithDq/ α β coordinate transforms are carried out, By the output of α axis as corresponding secondary harmonic current;
Step 6, each active filter obtained by selection subharmonic current and step 2 for exporting α axis are in α β coordinates Watt current given value i under systemαThe output current instruction being superimposed as active filter;
Output current is instructed the deviation between actual current as the input of repetitive controller by step 7, is repeated Control operation (specific repetitive control no longer embodies in fig. 2);
The network voltage that the output of repetitive controller and measurement obtain is superimposed (in order to improve device by step 8 Startability and inhibition network voltage low-order harmonic disturbance, introduce voltage feed-forward control herein) it is exchanged as active filter The given value of side inverter output voltage;
Step 9 compares the given value of active filter exchange side inverter output voltage and triangular carrier, generates four The pwm signal of switching tube.
With reference to Fig. 6, loads as three-phase diode commutating zone resistive load, selected under " specified subharmonic compensation " pattern 5 times, 11 times and 19 subharmonic are compensated, current on line side quality is improved after single-phase active power filter accesses A phases, analytical table It is bright:The THD of load current is 29.45%, and the THD of current on line side is 16.21%.With reference to Fig. 7 it is found that at this time in current on line side 5 times, 11 times and 19 subharmonic be it often fully compensated, and the amplitude of other subharmonic remains unchanged, and realizes single-phase active electric-power Compensation of the filter to specified subharmonic.
With reference to Fig. 3, under " Harmonics Compensation " pattern the control of single-phase active power filter implement according to the following steps:
Step 1, the actual value work for obtaining the given value of DC voltage and sampling are poor, are obtained after pi regulator active Watt current given value I of the filter under dq coordinate systemsd.ref
Step 2 enables Iq.ref=0, with reference to formula (3), using the I obtained by step 1d.refDq/ α β coordinate transforms are carried out, are obtained IαAs watt current given value of the active filter under α β coordinate systems;
Step 3 detects load current i by current Hall sensorL
Load current is carried out all-pass wave filtering operation by step 4, realizes 90 ° of phase shifts of lag to fundamental current;
Step 5, reference formula (2), by load current iLα β/dq coordinates are carried out with the all-pass filter output quantity in step 4 Transformation, obtains id.1And iq.1
Step 6, the i to obtainingd.1And iq.1Low-pass filtering treatment is carried out, extracts the DC component in the two respectivelyWith
Step 7, reference formula (3) are rightWithDq/ α β coordinate transforms are carried out, obtained α axis output quantities are load current In fundamental current;
Step 8, by load current iLFundamental current therein is subtracted, the harmonic current components in load current are obtained, it will Itself and watt current given value i of the gained active filter under α β coordinate systems in step 2αIt is superimposed as active power filtering The output current of device instructs;
Output current is instructed the deviation between actual current as the input of repetitive controller by step 9, is repeated Control operation;
The network voltage that the output of repetitive controller and measurement obtain is superimposed as active filter by step 10 The given value of exchange side inverter output voltage;
Step 11 compares the given value of active filter exchange side inverter output voltage and triangular carrier, generates four The pwm signal of a switching tube.
With reference to Fig. 8, loads as three-phase diode commutating zone resistive load, have single-phase under " Harmonics Compensation " pattern Current on line side quality significantly improves after source filter access A phases, analysis shows before the THD of current on line side is by compensating 29.45% drops to 3.38%.With reference to Fig. 9 it is found that the harmonic wave in current on line side within 50 times is it often fully compensated at this time, realize Compensation of the single-phase active electric-power filter to a wide range of harmonic frequency.
In the single-phase shunt active power filter control method that this patent is provided, " specified subharmonic compensation " and The compensation to harmonic wave in single-phase electrical system can be achieved under " Harmonics Compensation " two kinds of operating modes to use in engineer application It family can be according to the specific operating mode of how much selections for needing compensation harmonic number in practice.Referring to Fig.1 0, it loads as two pole of three-phase Pipe commutating zone resistive load, under " specified subharmonic compensation " pattern selection compensation 5 times, 7 times, 11 times, 13 times, 17 times, 19 Secondary, 23 times and 25 subharmonic, while the degree of compensation that 5 times and 13 subharmonic are arranged is 50%, as single-phase active power filter access A Current on line side quality is improved after phase, analysis shows:The THD of load current is 29.45%, and the THD of current on line side is 13.51%.1 it is found that harmonic wave is it often fully compensated within 25 times in current on line side in addition to 5 times and 13 times at this time referring to Fig.1, net The surplus of side 5 times and 13 subharmonic is 50% in load current, realizes the independent setting of harmonic compensation degree.

Claims (2)

1. the fractional harmonic wave detection method in a kind of single-phase active power filter system, characterized in that the detection method be pass through by Load current is realized by all-pass filter, by the way that the parameter of all-pass filter is arranged, is realized to h subharmonic currents to be detected It is advanced or lag 90 ° of phase shifts, obtain the virtual orthographic amount of h subharmonic currents to be detected;Then load current and all-pass are filtered The output quantity of wave device carries out α β/dq coordinate transforms, the DC component of d, q axis is extracted using low-pass filtering treatment, finally by d, q The DC component of axis carries out dq/ α β coordinate transforms, and gained α shaft currents are h subharmonic currents to be detected.
2. a kind of active power filtering based on the fractional harmonic wave detection method in single-phase active power filter system described in claim 1 Device control method, characterized in that the control method can realize " specified subharmonic compensation " and " Harmonics Compensation " two kinds of Working moulds Formula:
1)Under " specified subharmonic compensation " pattern:It is humorous that be compensated each time is obtained using above-mentioned fractional harmonic wave detection method first The DC component of d, q axis need to be multiplied by the degree of compensation of corresponding subharmonic respectively again by wave electric current in subharmonic detection process Carry out dq/ α β coordinate transforms, the ranging from 0%-100% of degree of compensation;It will be outside individual harmonic current and DC voltage to be compensated The output of ring controller is superimposed and is instructed as the output current of active filter, then output current instruction and reality is electric The output of repetitive controller and network voltage are finally superimposed work by input of the deviation as repetitive controller between stream For modulated signal, the pwm signal of each switching tube is generated more afterwards with triangular carrier;
2)Under " Harmonics Compensation " pattern:The fundamental wave electricity in load current is obtained using above-mentioned fractional harmonic wave detection method first Stream, then it is the harmonic current in load current that load current, which subtracts fundamental current, by harmonic current and DC voltage outer shroud control The output of device processed be superimposed as active filter output current instruction, then by output current instruction with actual current it Between input of the deviation as repetitive controller, finally the output of repetitive controller and network voltage are superimposed as tune Signal processed generates the pwm signal of each switching tube with triangular carrier more afterwards.
CN201810462694.9A 2018-05-15 2018-05-15 A kind of fractional harmonic wave detection method in single-phase active power filter system and the active filter control method based on the detection method Pending CN108400596A (en)

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Application publication date: 20180814