CN107370186A - One kind is based on improvement dead beat photovoltaic parallel in system resonance suppressing method - Google Patents
One kind is based on improvement dead beat photovoltaic parallel in system resonance suppressing method Download PDFInfo
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- H02J3/383—
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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
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- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
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- Y02E10/50—Photovoltaic [PV] energy
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- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E40/00—Technologies for an efficient electrical power generation, transmission or distribution
- Y02E40/40—Arrangements for reducing harmonics
Abstract
The reason for the invention discloses one kind based on improving dead beat photovoltaic parallel in system resonance suppressing method, including analyzing generation resonance;According to the result of analysis, improved track with zero error strategy is built, improved track with zero error strategy is:By predicting the sample rate current at k+2 moment, the PWM duty cycle D needed for k+1 moment inverters is calculatedk+1, PWM duty cycle D is performed in k+1 moment photovoltaic parallel in systemk+1;Improved track with zero error strategy is combined with virtual harmonic impedance method, suppresses photovoltaic parallel in system and resonance occurs.Effectively suppression system resonance can occur for the present invention.
Description
Technical field
The present invention relates to one kind based on dead beat photovoltaic parallel in system resonance suppressing method is improved, belong to power electronics neck
Domain.
Background technology
Under energy crisis and the double challenge of environmental pollution, the distributed photovoltaic energy is greatly developed as countries in the world
Common recognition.However, along with the continuous improvement of photovoltaic permeability, distributed photovoltaic grid-connected system can produce to distribution network electric energy quality
Adverse effect, including the distortion of grid entry point voltage, current harmonics injection, three-phase imbalance etc..In view of L or LC filter effects are not
Foot, LCL are more applied in combining inverter, and it has for inverter output current high band harmonic wave preferably suppresses
Effect.However, LCL can be affected as underdamping third-order system, operation and the control of inverter because of its resonance.The opposing party
Face, due to containing a large amount of inverters, the friendship between inverter and inverter, inverter and power network in distributed photovoltaic grid-connected system
Mutual coupling, trigger the series parallel resonance of power distribution network, power distribution network safe and stable operation is caused to have a strong impact on.
To distributed photovoltaic grid-connected system resonance reason and solution, existing scholar deploys correlative study.Related article
Consider the reciprocal effect between more combining inverters and power network, establish comprising the circuit including inverter, transformer and line impedance
Output impedance model, the harmonic resonance mechanism from the angle analysis of circuit in photovoltaic parallel in system.Also article passes through in public affairs
Grid entry point installs the passive damper being made up of resistance, inductance and electric capacity additional altogether, according to grid entry point resonant frequency characteristic, adjusts three
Passive element parameter, destroy resonance formation condition.But these methods are required for installing extra power equipment additional, that is, add
Once put into, also increase system operation loss.
The content of the invention
In order to solve the above-mentioned technical problem, pressed down the invention provides one kind based on dead beat photovoltaic parallel in system resonance is improved
Method processed.
In order to achieve the above object, the technical solution adopted in the present invention is:
One kind is based on improving dead beat photovoltaic parallel in system resonance suppressing method, including,
Analysis produces the reason for resonance;
According to the result of analysis, improved track with zero error strategy is built;Improved track with zero error strategy is:By pre-
The sample rate current at k+2 moment is surveyed, calculates the PWM duty cycle D needed for k+1 moment invertersk+1, in k+1 moment photovoltaic parallel in system
Perform PWM duty cycle Dk+1;
Improved track with zero error strategy is combined with virtual harmonic impedance method, suppresses photovoltaic parallel in system and resonance occurs.
According to photovoltaic parallel in system equivalent model, shadow of the systematic parameter to inverter output current in Researching The Equivalent model
Ring, analyze the reason for producing resonance.
Systematic parameter includes reference current I*, inverter bridge amplification interference Err, line voltage UgWith other combining inverters electricity
Flow summation Is。
Reference current I*For inverter output currentTransmission function GIL(s) it is,
Err is for inverter output current for inverter bridge amplification interferenceTransmission function GEL(s) it is,
Line voltage UgFor inverter output currentTransmission function GGL(s) it is,
Other combining inverter electric current summations IsFor inverter output currentTransmission function GPL(s) it is,
Wherein,
Gg(s)=1/sLg, KPWMFor inverter coefficient, KPAnd KiFor PID coefficient, L1And L2For the filtering in inverter unit
Inductance, LgFor electric network impedance, C is the filter capacitor in inverter unit,WithRepresent the inductance transmission in s domains
Function,WithRepresent inductance transmission function in practice.
Analysis result is, by reference current I*Caused resonance is referred to as internal resonance, total by other combining inverter electric currents
And IsCaused resonance is referred to as parallel resonance, by line voltage UgCaused resonance is referred to as series resonance, inverter bridge amplification interference
Err can after photovoltaic parallel in system operation rapid decay, therefore resonance will not be produced.
Calculate the PWM duty cycle D needed for k+1 moment invertersk+1Process be,
The voltage circuit equation of j-th of unit discretization of combining inverter is,
Wherein, k and k+1 represents moment, L1jAnd L2jFor two filter inductances of j-th of unit of combining inverter, Ts is to adopt
Sample cycle, uαAnd uβRespectively α shaft voltages sampled value and β shaft voltage sampled values, UgαAnd UgβRespectively line voltage is in α axles and β
Component under axle, iikjαAnd iikjβRespectively component of the inverter output current under α axles and β axles, iskjαAnd iskjβIt is respectively inverse
Become component of the device grid-connected current under α axles and β axles;
Ignore the influence of photovoltaic parallel in system filter capacitor, acquiescence electric current iikj=iskj=i, the then moment of kth+2 α shaft currents
Sampled value is,
Wherein, iαFor α shaft current sampled values;
Kth moment and the moment of kth+1 α shaft current deviations value,
Wherein, Δ iαFor α shaft current deviation values;
The moment of kth+1 α shaft current deviations value is made to be,
J-th of unit AC output voltage expression formula of combining inverter, which can be obtained, is,
Make grid side voltage on α axles equal in continuous three sampling instant sampling deviations, expression formula is,
Ugα(k+1)-Ugα(k)=Ugα(k)-Ugα(k-1)
Grid side voltage U on the moment of kth+1 α axles can be obtainedgα(k+1) expression formula is,
Make the set-point that the instance sample of kth+2 electric current is the kth moment, i.e. iα(k+2)=I*;
Then according to UgαAnd i (k+1)α(k+2) j-th of unit AC output voltage of the moment of kth+1 combining inverter can be obtained
uα(k+1), by calculating uα(k+1) with inverter high side voltage UdcRatio, obtain the PWM duty cycle needed for inverter
Dk+1。
Improved track with zero error strategy is combined with virtual harmonic impedance method, detailed process is,
By the voltage U for gathering public grid entry pointpcc, phase theta is obtained using phaselocked loop, by DC bus capacitor C2Electricity
Pressure feedback control obtains active command P, and reactive command Q is arranged to 0, UpccThe component of voltage u under dq is obtained after Park is converteddq,
Instruction current I is obtained after conversiondq, detect Upcc, harmonic voltage is separated with fundamental voltage using virtual harmonic impedance method,
Pass through virtual conductance GvAnd then harmonic current is obtained, then harmonic current is decomposed to be transmitted back in instruction current on dq axles and calculated,
Last improved track with zero error strategy, obtains the pwm switching signal of inverter.
The beneficial effect that the present invention is reached:The present invention is directed to system resonance high frequency characteristics, proposes a kind of improved indifference
Control strategy to be clapped, by predicting the sample rate current at k+2 moment, control delay is reduced, increases circuit bandwidth, resonance suppresses link,
It is combined with virtual harmonic impedance method, system resonance possibility occurrence substantially reduces, and effectively suppression system resonance can occur.
Brief description of the drawings
Fig. 1 is the flow chart of the present invention;
Fig. 2 is photovoltaic parallel in system equivalent circuit;
Fig. 3 is photovoltaic parallel in system control block diagram;
Fig. 4 is control delay schematic diagram;
Fig. 5 is combining inverter unit control block diagram;
Fig. 6 is α axle dead beat current control block diagrams;
Fig. 7 is virtual harmonic impedance method control block diagram;
Fig. 8 is virtual harmonic impedance method control strategy;
Grid side current waveform when Fig. 9 is unchecked measure;
Figure 10 is using grid side current waveform after traditional dead beat;
Figure 11 is using grid side current waveform after improvement dead beat.
Embodiment
The invention will be further described below in conjunction with the accompanying drawings.Following examples are only used for clearly illustrating the present invention
Technical scheme, and can not be limited the scope of the invention with this.
As shown in figure 1, it is a kind of based on dead beat photovoltaic parallel in system resonance suppressing method is improved, comprise the following steps:
Step 1, according to photovoltaic parallel in system equivalent model, systematic parameter is to inverter output current in Researching The Equivalent model
Influence, analysis produce resonance the reason for.
As shown in Fig. 2 LCL type photovoltaic parallel in system equivalent model, L1j、L1jAnd CfjRespectively j-th of list of combining inverter
Inverter side inductance, grid side inductance and the filter capacitor of machine, j=1,2 ..., n, ZgElectric network impedance is represented, it is main to include rising
Pressure transformer leakage inductance resists and transmission line of electricity equivalent resistance and reactance.According to above-mentioned equivalent model, large-sized photovoltaic grid-connected system is established
The equivalent control structure in S domains, as shown in figure 3, systematic parameter includes reference current I*, inverter bridge amplification interference Err, power network electricity
Press UgWith other combining inverter electric current summations Is。
Reference current I*For inverter output currentTransmission function GIL(s) it is,
Err is for inverter output current for inverter bridge amplification interferenceTransmission function GEL(s) it is,
Line voltage UgFor inverter output currentTransmission function GGL(s) it is,
Other combining inverter electric current summations IsFor inverter output currentTransmission function GPL(s) it is,
Wherein,
Gg(s)=1/sLg, KPWMFor inverter coefficient, KPAnd KiFor PID coefficient L1And L2For the filtering in inverter unit
Inductance, LgFor electric network impedance, C is the filter capacitor in inverter unit,WithThe inductance in s domains is represented to pass
Delivery function,WithRepresent inductance transmission function in practice.
By to above-mentioned transfer function analysis, drawing by reference current I*Caused resonance is referred to as internal resonance, by it
He is combining inverter electric current summation IsCaused resonance is referred to as parallel resonance, by line voltage UgCaused resonance is referred to as connecting humorous
Shake, inverter bridge amplification interference Err can after photovoltaic parallel in system operation rapid decay, therefore resonance will not be produced.
Step 2, according to the result of analysis, improved track with zero error strategy is built;Improved track with zero error strategy is:
By predicting the sample rate current at k+2 moment, the PWM duty cycle D needed for k+1 moment inverters is calculatedk+1, in k+1 moment photovoltaic simultaneously
Net system performs PWM duty cycle Dk+1。
As shown in figure 4, at the kth moment, that photovoltaic parallel in system still performs is k-1 moment PWM duty cycles Dk-1, and k
Moment PWM duty cycle DkBe delayed tdJust export, further to improve track with zero error precision, correct all as caused by above reason
Phase sexual deviation, innovatory algorithm calculate the PWM duty cycle needed for k+1 moment inverters by predicting the sample rate current at k+2 moment
Dk+1, PWM duty cycle D is performed in k+1 moment photovoltaic parallel in systemk+1, realize electric current DAZ gene.
Calculate the PWM duty cycle D needed for k+1 moment invertersk+1Process it is as follows:
As it can be seen in figures 5 and 6, the voltage circuit equation of j-th of unit discretization of combining inverter is,
Wherein, j=1, k and k+1 represent moment, L1jAnd L2jFor two filter inductances of j-th of unit of combining inverter,
Ts is the sampling period, uαAnd uβRespectively α shaft voltages sampled value and β shaft voltage sampled values, UgαAnd UgβRespectively line voltage is in α
Component under axle and β axles, iikjαAnd iikjβRespectively component of the inverter output current under α axles and β axles, iskjαAnd iskjβPoint
Wei not component of the grid-connected inverters electric current under α axles and β axles;
Ignore the influence of photovoltaic parallel in system filter capacitor, acquiescence electric current iikj=iskj=i, the then moment of kth+2 α shaft currents
Sampled value is,
Wherein, iαFor α shaft current sampled values;
Kth moment and the moment of kth+1 α shaft current deviations value,
Wherein, Δ iαFor α shaft current deviation values;
The moment of kth+1 α shaft current deviations value is made to be,
J-th of unit AC output voltage expression formula of combining inverter, which can be obtained, is,
Make grid side voltage on α axles equal in continuous three sampling instant sampling deviations, expression formula is,
Ugα(k+1)-Ugα(k)=Ugα(k)-Ugα(k-1)
Grid side voltage U on the moment of kth+1 α axles can be obtainedgα(k+1) expression formula is,
Make the set-point that the instance sample of kth+2 electric current is the kth moment, i.e. iα(k+2)=I*;
Then according to UgαAnd i (k+1)α(k+2) j-th of unit AC output voltage of the moment of kth+1 combining inverter can be obtained
uα(k+1), by calculating uα(k+1) with inverter high side voltage UdcRatio, obtain the PWM duty cycle needed for inverter
Dk+1。
Step 3, improved track with zero error strategy is combined with virtual harmonic impedance method, suppresses photovoltaic parallel in system
Resonance.
Detailed process is:Such as Fig. 7 and 8, by the voltage U for gathering public grid entry pointpcc, phase theta is obtained using phaselocked loop,
By to DC bus capacitor C2Voltage Feedback controls to obtain active command P, and reactive command Q is arranged to 0, UpccConverted by Park
The component of voltage u under dq is obtained afterwardsdq, instruction current I is obtained after conversiondq, detect Upcc, will be humorous using virtual harmonic impedance method
Wave voltage separates with fundamental voltage, passes through virtual conductance GvAnd then harmonic current is obtained, then harmonic current is decomposed on dq axles
It is transmitted back in instruction current and calculates, last improved track with zero error strategy, obtains the pwm switching signal of inverter.
To verify institute's extracting method of the present invention, experimental system is built, by taking internal resonance as an example, examines correctness and validity.
Photovoltaic parallel in system main circuit parameter is as shown in table 1:
The main circuit parameter of table 1
There is high requirement for precision of fuzzy controller and response speed by method carries improved track with zero error, because
This uses the controllers of NI companies Single-Board RIO 9683, and its FPGA possesses the parallel control ability of high speed, and each control follows
It is independent of each other between ring, system resource will not be seized.The controller possesses special power electronics input/output module simultaneously
(GPIC), can be according to requirement of system design autonomous configuration input/output port.
Control and require for this subsystem, GPIC concrete configurations are as follows:1st, 7 road synchronously simulating amount input channels are configured, are used
In collection photovoltaic voltage, photovoltaic electric current, DC bus-bar voltage, inverter output current, line voltage;2nd, 8 road half-bridge numbers are configured
Word output channel, exported for pwm pulse signal;3rd, 6 road differential digital I/O channels are configured, for gathering DC/DC moulds
Block and DC/AC module error signals.
It is unchecked, using traditional dead beat suppress and using improved dead beat suppress after effect such as Fig. 9,10 and 11 institutes
Show.Test result indicates that the above method effectively suppression system resonance, current on line side THD can be decreased obviously.
The above method is directed to system resonance high frequency characteristics, a kind of improved track with zero error strategy is proposed, by predicting k+2
The sample rate current at moment, control delay is reduced, increase circuit bandwidth, resonance suppresses link, by itself and virtual harmonic impedance method phase
With reference to system resonance possibility occurrence substantially reduces, and effectively suppression system resonance can occur.This paper can be carried improvement side by future
Method suppresses strategy with the resonance of feature more of overall importance and is combined, and has not only widened the above method scope of application, and can enter
One step improves inhibition.
Described above is only the preferred embodiment of the present invention, it is noted that for the ordinary skill people of the art
For member, without departing from the technical principles of the invention, some improvement and deformation can also be made, these are improved and deformation
Also it should be regarded as protection scope of the present invention.
Claims (7)
1. one kind is based on improvement dead beat photovoltaic parallel in system resonance suppressing method, it is characterised in that:Including analysis produces resonance
The reason for;
According to the result of analysis, improved track with zero error strategy is built;Improved track with zero error strategy is:By predicting k+
The sample rate current at 2 moment, calculate the PWM duty cycle D needed for k+1 moment invertersk+1, performed in k+1 moment photovoltaic parallel in system
PWM duty cycle Dk+1;
Improved track with zero error strategy is combined with virtual harmonic impedance method, suppresses photovoltaic parallel in system and resonance occurs.
2. according to claim 1 a kind of based on dead beat photovoltaic parallel in system resonance suppressing method is improved, its feature exists
In:According to photovoltaic parallel in system equivalent model, influence of the systematic parameter to inverter output current in Researching The Equivalent model, analysis
The reason for producing resonance.
3. according to claim 2 a kind of based on dead beat photovoltaic parallel in system resonance suppressing method is improved, its feature exists
In:Systematic parameter includes reference current I*, inverter bridge amplification interference Err, line voltage UgWith other combining inverter electric current summations
Is。
4. according to claim 3 a kind of based on dead beat photovoltaic parallel in system resonance suppressing method is improved, its feature exists
In:Reference current I*For inverter output currentTransmission function GIL(s) it is,
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<mo>(</mo>
<mi>s</mi>
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</mrow>
</mrow>
</mfrac>
<mo>=</mo>
<mfrac>
<mrow>
<mo>-</mo>
<msub>
<mi>G</mi>
<msub>
<mi>L</mi>
<mn>2</mn>
</msub>
</msub>
<msub>
<mi>G</mi>
<mi>g</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>s</mi>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<mn>1</mn>
<mo>-</mo>
<msub>
<mi>G</mi>
<mn>2</mn>
</msub>
<mrow>
<mo>(</mo>
<mi>s</mi>
<mo>)</mo>
</mrow>
</mrow>
</mfrac>
</mrow>
Wherein,
<mrow>
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<mi>G</mi>
<mn>1</mn>
</msub>
<mrow>
<mo>(</mo>
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<mi>P</mi>
<mi>I</mi>
</mrow>
</msub>
<msub>
<mi>G</mi>
<msub>
<mi>L</mi>
<mn>1</mn>
</msub>
</msub>
<mrow>
<mo>(</mo>
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<msub>
<mi>G</mi>
<mi>C</mi>
</msub>
<msub>
<mi>G</mi>
<msub>
<mi>L</mi>
<mn>2</mn>
</msub>
</msub>
<mo>+</mo>
<msub>
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<msub>
<mi>L</mi>
<mn>2</mn>
</msub>
</msub>
<msub>
<mi>G</mi>
<mi>g</mi>
</msub>
<mo>)</mo>
</mrow>
<mo>+</mo>
<msub>
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<msub>
<mi>L</mi>
<mn>1</mn>
</msub>
</msub>
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<mi>G</mi>
<mi>C</mi>
</msub>
<mrow>
<mo>(</mo>
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<msub>
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</msub>
</msub>
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<mi>G</mi>
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</msub>
<mo>)</mo>
</mrow>
<mo>+</mo>
<msub>
<mi>G</mi>
<msub>
<mi>L</mi>
<mn>2</mn>
</msub>
</msub>
<mrow>
<mo>(</mo>
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<mi>g</mi>
</msub>
<mo>)</mo>
</mrow>
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<mn>2</mn>
</msub>
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</mrow>
<mo>=</mo>
<mo>-</mo>
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<msub>
<mi>L</mi>
<mn>2</mn>
</msub>
</msub>
<mrow>
<mo>(</mo>
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<mo>)</mo>
</mrow>
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<mi>G</mi>
<mi>g</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>s</mi>
<mo>)</mo>
</mrow>
<mo>-</mo>
<mfrac>
<mrow>
<msub>
<mi>G</mi>
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</msub>
<msub>
<mi>G</mi>
<msub>
<mi>L</mi>
<mn>2</mn>
</msub>
</msub>
<mrow>
<mo>(</mo>
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<mo>+</mo>
<msub>
<mi>G</mi>
<mrow>
<mi>P</mi>
<mi>I</mi>
</mrow>
</msub>
<msub>
<mi>G</mi>
<msub>
<mi>L</mi>
<mn>1</mn>
</msub>
</msub>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<mn>1</mn>
<mo>+</mo>
<msub>
<mi>G</mi>
<msub>
<mi>L</mi>
<mn>1</mn>
</msub>
</msub>
<mrow>
<mo>(</mo>
<msub>
<mi>G</mi>
<mrow>
<mi>P</mi>
<mi>I</mi>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>G</mi>
<mi>C</mi>
</msub>
<mo>)</mo>
</mrow>
</mrow>
</mfrac>
<mo>,</mo>
</mrow>
GPI(s)=KPWM(KP+Ki/ s),GC(s)=1/sC,Gg(s)=1/sLg,
KPWMFor inverter coefficient, KPAnd KiFor PID coefficient, L1And L2For the filter inductance in inverter unit, LgFor electric network impedance, C is
Filter capacitor in inverter unit,WithThe inductance transmission function in s domains is represented,WithRepresent real
Inductance transmission function in border.
5. according to claim 1 a kind of based on dead beat photovoltaic parallel in system resonance suppressing method is improved, its feature exists
In:Analysis result is, by reference current I*Caused resonance is referred to as internal resonance, by other combining inverter electric current summations IsDraw
The resonance risen is referred to as parallel resonance, by line voltage UgCaused resonance is referred to as series resonance, and inverter bridge amplification interference Err can be
Rapid decay after photovoltaic parallel in system operation, therefore resonance will not be produced.
6. according to claim 1 a kind of based on dead beat photovoltaic parallel in system resonance suppressing method is improved, its feature exists
In:Calculate the PWM duty cycle D needed for k+1 moment invertersk+1Process be,
The voltage circuit equation of j-th of unit discretization of combining inverter is,
<mfenced open = "{" close = "">
<mtable>
<mtr>
<mtd>
<mrow>
<msub>
<mi>u</mi>
<mi>&alpha;</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<msub>
<mi>L</mi>
<mrow>
<mn>1</mn>
<mi>j</mi>
</mrow>
</msub>
<mfrac>
<mrow>
<msub>
<mi>i</mi>
<mrow>
<mi>i</mi>
<mi>k</mi>
<mi>j</mi>
<mi>&alpha;</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
<mo>-</mo>
<msub>
<mi>i</mi>
<mrow>
<mi>i</mi>
<mi>k</mi>
<mi>j</mi>
<mi>&alpha;</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<mi>T</mi>
<mi>s</mi>
</mrow>
</mfrac>
<mo>+</mo>
<msub>
<mi>L</mi>
<mrow>
<mn>2</mn>
<mi>j</mi>
</mrow>
</msub>
<mfrac>
<mrow>
<msub>
<mi>i</mi>
<mrow>
<mi>s</mi>
<mi>k</mi>
<mi>j</mi>
<mi>&alpha;</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
<mo>-</mo>
<msub>
<mi>i</mi>
<mrow>
<mi>s</mi>
<mi>k</mi>
<mi>j</mi>
<mi>&alpha;</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<mi>T</mi>
<mi>s</mi>
</mrow>
</mfrac>
<mo>+</mo>
<msub>
<mi>U</mi>
<mrow>
<mi>g</mi>
<mi>&alpha;</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
</mrow>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<msub>
<mi>u</mi>
<mi>&beta;</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<msub>
<mi>L</mi>
<mrow>
<mn>1</mn>
<mi>j</mi>
</mrow>
</msub>
<mfrac>
<mrow>
<msub>
<mi>i</mi>
<mrow>
<mi>i</mi>
<mi>k</mi>
<mi>j</mi>
<mi>&beta;</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
<mo>-</mo>
<msub>
<mi>i</mi>
<mrow>
<mi>i</mi>
<mi>k</mi>
<mi>j</mi>
<mi>&beta;</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<mi>T</mi>
<mi>s</mi>
</mrow>
</mfrac>
<mo>+</mo>
<msub>
<mi>L</mi>
<mrow>
<mn>2</mn>
<mi>j</mi>
</mrow>
</msub>
<mfrac>
<mrow>
<msub>
<mi>i</mi>
<mrow>
<mi>s</mi>
<mi>k</mi>
<mi>j</mi>
<mi>&beta;</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
<mo>-</mo>
<msub>
<mi>i</mi>
<mrow>
<mi>s</mi>
<mi>k</mi>
<mi>j</mi>
<mi>&beta;</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<mi>T</mi>
<mi>s</mi>
</mrow>
</mfrac>
<mo>+</mo>
<msub>
<mi>U</mi>
<mrow>
<mi>g</mi>
<mi>&beta;</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
</mrow>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
Wherein, k and k+1 represents moment, L1jAnd L2jFor two filter inductances of j-th of unit of combining inverter, Ts is sampling week
Phase, uαAnd uβRespectively α shaft voltages sampled value and β shaft voltage sampled values, UgαAnd UgβRespectively line voltage is under α axles and β axles
Component, iikjαAnd iikjβRespectively component of the inverter output current under α axles and β axles, iskjαAnd iskjβRespectively inverter
Component of the grid-connected current under α axles and β axles;
Ignore the influence of photovoltaic parallel in system filter capacitor, acquiescence electric current iikj=iskj=i, the then moment of kth+2 α shaft currents sampling
It is worth and is,
<mrow>
<msub>
<mi>i</mi>
<mi>&alpha;</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>+</mo>
<mn>2</mn>
<mo>)</mo>
</mrow>
<mo>=</mo>
<mrow>
<mo>(</mo>
<msub>
<mi>u</mi>
<mi>&alpha;</mi>
</msub>
<mo>(</mo>
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<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
<mo>)</mo>
<mo>-</mo>
<msub>
<mi>U</mi>
<mrow>
<mi>g</mi>
<mi>&alpha;</mi>
</mrow>
</msub>
<mo>(</mo>
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<mo>+</mo>
<mn>1</mn>
</mrow>
<mo>)</mo>
<mo>)</mo>
</mrow>
<mfrac>
<mrow>
<mi>T</mi>
<mi>s</mi>
</mrow>
<mrow>
<msub>
<mi>L</mi>
<mrow>
<mn>1</mn>
<mi>j</mi>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>L</mi>
<mrow>
<mn>2</mn>
<mi>j</mi>
</mrow>
</msub>
</mrow>
</mfrac>
<mo>+</mo>
<msub>
<mi>i</mi>
<mi>&alpha;</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
</mrow>
Wherein, iαFor α shaft current sampled values;
Kth moment and the moment of kth+1 α shaft current deviations value,
<mrow>
<msub>
<mi>&Delta;i</mi>
<mi>&alpha;</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
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</mrow>
<mo>=</mo>
<msub>
<mi>i</mi>
<mi>&alpha;</mi>
</msub>
<mrow>
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<mi>k</mi>
<mo>+</mo>
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<mo>)</mo>
</mrow>
<mo>-</mo>
<msub>
<mi>i</mi>
<mi>&alpha;</mi>
</msub>
<mrow>
<mo>(</mo>
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<mo>)</mo>
</mrow>
<mo>=</mo>
<mfrac>
<mrow>
<mi>T</mi>
<mi>s</mi>
</mrow>
<mrow>
<msub>
<mi>L</mi>
<mrow>
<mn>1</mn>
<mi>j</mi>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>L</mi>
<mrow>
<mn>2</mn>
<mi>j</mi>
</mrow>
</msub>
</mrow>
</mfrac>
<mrow>
<mo>(</mo>
<msub>
<mi>u</mi>
<mi>&alpha;</mi>
</msub>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
<mo>-</mo>
<msub>
<mi>U</mi>
<mrow>
<mi>g</mi>
<mi>&alpha;</mi>
</mrow>
</msub>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<msub>
<mi>&Delta;i</mi>
<mi>&alpha;</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
<mo>=</mo>
<msub>
<mi>i</mi>
<mi>&alpha;</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>+</mo>
<mn>2</mn>
<mo>)</mo>
</mrow>
<mo>-</mo>
<msub>
<mi>i</mi>
<mi>&alpha;</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
<mo>=</mo>
<mfrac>
<mrow>
<mi>T</mi>
<mi>s</mi>
</mrow>
<mrow>
<msub>
<mi>L</mi>
<mrow>
<mn>1</mn>
<mi>j</mi>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>L</mi>
<mrow>
<mn>2</mn>
<mi>j</mi>
</mrow>
</msub>
</mrow>
</mfrac>
<mrow>
<mo>(</mo>
<msub>
<mi>u</mi>
<mi>&alpha;</mi>
</msub>
<mo>(</mo>
<mrow>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
<mo>)</mo>
<mo>-</mo>
<msub>
<mi>U</mi>
<mrow>
<mi>g</mi>
<mi>&alpha;</mi>
</mrow>
</msub>
<mo>(</mo>
<mrow>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
<mo>)</mo>
<mo>)</mo>
</mrow>
</mrow>
Wherein, Δ iαFor α shaft current deviation values;
The moment of kth+1 α shaft current deviations value is made to be,
<mrow>
<msub>
<mi>&Delta;i</mi>
<mi>&alpha;</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
<mo>=</mo>
<mfrac>
<mn>1</mn>
<mn>2</mn>
</mfrac>
<mrow>
<mo>(</mo>
<msub>
<mi>&Delta;i</mi>
<mi>&alpha;</mi>
</msub>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
<mo>+</mo>
<msub>
<mi>&Delta;i</mi>
<mi>&alpha;</mi>
</msub>
<mo>(</mo>
<mrow>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
<mo>)</mo>
<mo>)</mo>
</mrow>
<mo>=</mo>
<mfrac>
<mn>1</mn>
<mn>2</mn>
</mfrac>
<mrow>
<mo>(</mo>
<msub>
<mi>i</mi>
<mi>&alpha;</mi>
</msub>
<mo>(</mo>
<mrow>
<mi>k</mi>
<mo>+</mo>
<mn>2</mn>
</mrow>
<mo>)</mo>
<mo>-</mo>
<msub>
<mi>i</mi>
<mi>&alpha;</mi>
</msub>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
<mo>)</mo>
</mrow>
</mrow>
J-th of unit AC output voltage expression formula of combining inverter, which can be obtained, is,
<mrow>
<msub>
<mi>u</mi>
<mi>&alpha;</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
<mo>=</mo>
<msub>
<mi>U</mi>
<mrow>
<mi>g</mi>
<mi>&alpha;</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
<mo>+</mo>
<mfrac>
<mrow>
<msub>
<mi>L</mi>
<mrow>
<mn>1</mn>
<mi>j</mi>
</mrow>
</msub>
<mo>+</mo>
<msub>
<mi>L</mi>
<mrow>
<mn>2</mn>
<mi>j</mi>
</mrow>
</msub>
</mrow>
<mrow>
<mn>2</mn>
<mi>T</mi>
<mi>s</mi>
</mrow>
</mfrac>
<mrow>
<mo>(</mo>
<msub>
<mi>i</mi>
<mi>&alpha;</mi>
</msub>
<mo>(</mo>
<mrow>
<mi>k</mi>
<mo>+</mo>
<mn>2</mn>
</mrow>
<mo>)</mo>
<mo>-</mo>
<msub>
<mi>i</mi>
<mi>&alpha;</mi>
</msub>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
<mo>)</mo>
</mrow>
</mrow>
Make grid side voltage on α axles equal in continuous three sampling instant sampling deviations, expression formula is,
Ugα(k+1)-Ugα(k)=Ugα(k)-Ugα(k-1)
Grid side voltage U on the moment of kth+1 α axles can be obtainedgα(k+1) expression formula is,
<mrow>
<msub>
<mi>U</mi>
<mrow>
<mi>g</mi>
<mi>&alpha;</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
<mo>=</mo>
<msub>
<mi>U</mi>
<mrow>
<mi>g</mi>
<mi>&alpha;</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
</mrow>
<mo>+</mo>
<mrow>
<mo>(</mo>
<msub>
<mi>U</mi>
<mrow>
<mi>g</mi>
<mi>&alpha;</mi>
</mrow>
</msub>
<mo>(</mo>
<mrow>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
</mrow>
<mo>)</mo>
<mo>-</mo>
<msub>
<mi>U</mi>
<mrow>
<mi>g</mi>
<mi>&alpha;</mi>
</mrow>
</msub>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
<mo>)</mo>
</mrow>
<mo>+</mo>
<mfrac>
<mrow>
<msub>
<mi>U</mi>
<mrow>
<mi>g</mi>
<mi>&alpha;</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>+</mo>
<mn>2</mn>
<mo>)</mo>
</mrow>
<mo>-</mo>
<msub>
<mi>U</mi>
<mrow>
<mi>g</mi>
<mi>&alpha;</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>+</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
</mrow>
<mn>2</mn>
</mfrac>
<mo>=</mo>
<mfrac>
<mn>5</mn>
<mn>2</mn>
</mfrac>
<msub>
<mi>U</mi>
<mrow>
<mi>g</mi>
<mi>&alpha;</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
</mrow>
<mo>-</mo>
<mfrac>
<mn>3</mn>
<mn>2</mn>
</mfrac>
<msub>
<mi>U</mi>
<mrow>
<mi>g</mi>
<mi>&alpha;</mi>
</mrow>
</msub>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>-</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
</mrow>
Make the set-point that the instance sample of kth+2 electric current is the kth moment, i.e. iα(k+2)=I*;
Then according to UgαAnd i (k+1)α(k+2) j-th of unit AC output voltage u of the moment of kth+1 combining inverter can be obtainedα(k+
1), by calculating uα(k+1) with inverter high side voltage UdcRatio, obtain the PWM duty cycle D needed for inverterk+1。
7. according to claim 1 a kind of based on dead beat photovoltaic parallel in system resonance suppressing method is improved, its feature exists
In:Improved track with zero error strategy is combined with virtual harmonic impedance method, detailed process is, by gathering public grid entry point
Voltage Upcc, phase theta is obtained using phaselocked loop, by DC bus capacitor C2Voltage Feedback controls to obtain active command P, idle
Instruction Q is arranged to 0, UpccThe component of voltage u under dq is obtained after Park is converteddq, instruction current I is obtained after conversiondq, inspection
Survey Upcc, harmonic voltage is separated with fundamental voltage using virtual harmonic impedance method, passes through virtual conductance GvAnd then obtain harmonic wave electricity
Stream, then harmonic current is decomposed to be transmitted back in instruction current on dq axles and calculated, last improved track with zero error strategy, obtain
To the pwm switching signal of inverter.
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CN104953611A (en) * | 2015-04-24 | 2015-09-30 | 苏州同虞新能源科技有限公司 | Frequency-multiplication-modulation-based improved deadbeat control method of photovoltaic grid-connected inverter |
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