CN107919682A - A kind of control method suitable for three-phase double resonance wave filter grid-connected inverting system - Google Patents

A kind of control method suitable for three-phase double resonance wave filter grid-connected inverting system Download PDF

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CN107919682A
CN107919682A CN201711209503.XA CN201711209503A CN107919682A CN 107919682 A CN107919682 A CN 107919682A CN 201711209503 A CN201711209503 A CN 201711209503A CN 107919682 A CN107919682 A CN 107919682A
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mrow
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double resonance
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CN107919682B (en
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李永丽
孙广宇
靳伟
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Tianjin 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
    • H02J3/38Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS 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
    • H02M1/00Details of apparatus for conversion
    • H02M1/12Arrangements for reducing harmonics from ac input or output
    • H02M1/126Arrangements for reducing harmonics from ac input or output using passive filters

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Supply And Distribution Of Alternating Current (AREA)
  • Inverter Devices (AREA)

Abstract

The present invention relates to three-phase grid-connected inverter control field, it is related to a kind of control method suitable for three-phase double resonance wave filter grid-connected inverting system, for low resistance type double resonance wave filter, pass through the calculating to double resonance filter resonance peak frequency, select total delay time of corresponding current control inner ring, and then select space voltage vector modulation SVPWM schemes, and use ratio resonance PR controllers and harmonic compensation HC controller plcs, make effect of the output current by current controller, realize and reference current is stablized, the tracking of floating.The present invention can simply and effectively suppress the resonance spikes of double resonance wave filter, while realizing that control system is stablized, play the High frequency filter effect of double resonance wave filter to greatest extent.

Description

A kind of control method suitable for three-phase double resonance wave filter grid-connected inverting system
Technical field
, can maximum limit the present invention relates to a kind of control method suitable for three-phase double resonance wave filter grid-connected inverting system Degree ground plays the High frequency filter effect well of double resonance wave filter, and can effectively solve the three-phase based on double resonance wave filter simultaneously The control stability problem of net inversion system.
Background technology
In distributed grid-connected electricity generation system, three-phase grid-connected inverter is the interface that distributed energy is connected with power grid, is Indispensable component in grid-connected system.However, since gird-connected inverter is in pulse-width modulation process is completed, can not can keep away Produce HF switch harmonic wave with exempting from, this part HF switch harmonic wave can produce serious high-frequency harmonic to power grid and pollute.Therefore, it is High-frequency harmonic pollution problem is solved, it is necessary to increase output filter between three-phase grid-connected inverter and power grid to suppress harmonic high frequency Ripple.
The output filter that current three-phase grid-connected inverter is commonly used is LCL filter.LCL filter is to harmonic high frequency Wave component is with -60dB/dec decay harmonic waves so that the HF switch harmonic wave that LCL filter produces inverter has good Filter effect.But since the harmonic voltage modulated of three-phase grid-connected inverter is concentrated mainly on the switch of three-phase grid-connected inverter Near frequency, and near two times of switching frequencies, and LCL filter is to the electricity near switching frequency and near two times of switching frequencies The damping capacity of harmonic wave is pressed than relatively limited.To overcome this shortcoming, there is scholar to propose a kind of double resonance filter topology, i.e., With the capacitive branch in two RLC series resonance branch subsitution LCL filters in parallel.Pass through two RLC series resonance branches Band logical effect, respectively strengthen wave filter to the filter capacity of high-frequency harmonic near switching frequency and 2 times of switching frequencies, carry significantly Filter capacity of the high filter to high-frequency harmonic.But in the designing scheme of conventional dual-resonant wave filter, it need to ensure each RLC strings Connection resonant branch has larger damping resistance R, to suppress the stability that resonance spikes carry out Guarantee control system.Practical application In, larger damping resistance R can not only increase whole inversion system active loss, can also greatly rejects trap to switching frequency Nearby with the filter effect of harmonic wave near two times of switching frequencies, the application of double resonance wave filter is limited.
The content of the invention
It is the problem of in conventional three-phase double resonance wave filter grid-connected inverting system, existing it is an object of the invention to overcome The deficiency of technology, for the double resonance wave filter using smaller damping resistance, proposes that one kind can simply and effectively solve its control The current Control Algorithm of system instability processed, had so both played double resonance filter topology and had filtered to greatest extent Advantage in performance, reduces the active loss of three-phase inversion system, and ensures the control stability of three-phase inversion system.The present invention Technical solution it is as follows:
A kind of control strategy based on double resonance Filter Type three-phase grid-connected inverter, including a kind of low-resistance buffer resistance are double humorous Polarization filter, and propose a kind of current loop controller for its frequency domain characteristic, it is characterised in that:Filtered for the double resonance of low resistance type Ripple device, by the calculating to double resonance filter resonance peak frequency, selects total delay time of corresponding current control inner ring, And then specific control program interrupt starting point and space voltage vector modulation (SVPWM) scheme are selected, and use ratio resonance control Device (PR controllers) processed+harmonic compensation controller (HC controllers), makes effect of the output current by current controller, realization pair Reference current is stablized, the tracking of floating.
1) for low resistance double resonance wave filter, its resonant frequency f is calculatedres
Wherein, LgFor grid side inductance, LiFor inverter side inductance, L1、L2For resonant branch inductance, C1、C2For resonance branch Road capacitance.
2) calculating can ensure that the control of whole system stability is always delayed Td
Wherein, TsFor system controlling cycle;
3) electric current fundamental component divides 5,7 subharmonic currents into line trace, and using HC controllers using PR controllers Amount compensates.PR controllers and HC controller expression formulas Gpr(s) and GHC(s) it is as follows respectively:
Wherein KpIt is proportionality coefficient, KrAnd KrhIt is PR controllers and HC controller integral coefficients respectively, ω0It is that power grid is specified Angular frequency, ξ and ξhIt is the cut-off angular frequency of QPR controllers and HC controllers respectively, under normal circumstances, takes ξ=ξh=0.003.
Preferably, the design of PR controller parameters is as follows:
Calculate the frequency f that phase-frequency characteristic curve passes through -180 °r, and according to frIt is selected to ensure system magnitude margin GM= The cutoff frequency f of 6dBc。frAnd fcRespectively as shown in formula (5) (6):
According to fc, calculate the Proportional coefficient K in PR controllersp, it is as follows to correspond to formula:
Wherein, UdFor DC voltage, LiFor inverter side inductance in double resonance wave filter, LgFor grid side inductance.
Make Fundamental-frequency Current tracking steady-state error Δ I=2%In, (InRated current is exported for inverter), calculate KrValue:
Wherein, UgFor power grid rated voltage.
The design of HC controller parameters is as follows:
HC controllers are made in fcPhase-frequency error caused by placeCalculate KrhValue:
Brief description of the drawings
Three-phase grid-connected inverting system structure and control schematic diagram of the Fig. 1 based on double resonance wave filter.
Fig. 2 carries the control block diagram of double resonance Filter Type three-phase grid-connected inverter.
Fig. 3 is tested using the steady-state current of the double resonance Filter Type three-phase grid-connected inverter of control strategy presented here Waveform.
Embodiment
Below in conjunction with example and referring to the drawings the present invention is described in detail.
Main circuit includes:Direct voltage source, three-phase half-bridge inverter circuit, double resonance wave filter.Wherein, DC voltage Ud= 400V, power grid rated voltage Ug=130V, gird-connected inverter rated power 10kW, inverter switching device cycle Ts=1/4000s;It is double Inverter side inductance L in resonance filteri=0.3mH, grid side inductance Lg=0.3mH, resonant branch inductance L1=36 μ H, L2 =22.5 μ H, resonant branch capacitance C1=50 μ F, C2=20 μ F, resonant branch damping R1=R2=0.1 Ω;Three-phase semi-bridge inversion Circuit is connected to points of common connection by double resonance wave filter, then is connected to extraneous power grid by step-up transformer.
Control strategy (as shown in Figure 1) proposed by the present invention based on double resonance Filter Type three-phase grid-connected inverting system, It is exactly on the basis of based on the monocyclic control system of inverter side current feedback, passes through the innovatively delay for control system Selection and the design to PR+HC controller parameters, suppress the resonance spikes of double resonance wave filter, are met amplitude well The control system of nargin and the stabilization of Phase margin constraint, comprises the following steps that:
(1) by each hardware parameter of known double resonance filter circuit, double resonance filter circuit is made from grid-connected current IgTo inverter modulation output voltage UiTransmission function GUi→Ig(s);
(2) according to the controlling cycle T of gird-connected inverters=1/4000s, DC voltage Ud=400V, double resonance filtered electrical Road is from UiTo IgTransmission function GUi→Ig(s), quasi- ratio resonance+5,7 subharmonic compensating controllers and under α β coordinate systems (QPR+HC controllers), makes the grid side current feedback single loop system of the three-phase grid-connected inverter based on double resonance wave filter Control block diagram, the block diagram are as shown in Figure 2.In ξ=ξhIn the case of=0.003, PR controllers and HC controller expression formulas Gpr(s) And GHC(s) it is as follows respectively:
(3) passed according to the control block diagram of the inverter side current feedback single loop system of three-phase grid-connected inverter and each several part The expression formula of delivery function, makes the open-loop transfer function G (s) of whole control system system;
(4) resonance spikes frequency f is calculated by formula (1)res=1750Hz, and then according to formula (2), draw system Master control delay Td
Td=9.43 × 10-5s (14)
(5) according to the master control of control system delay TdWhen determining that each control interrupt cycle carries out the starting of sampling calculating Carve, make Td=1 × 10-5s;
(6) f is determined according to formula (5) (6)rAnd fc, f is calculatedr=3500Hz, fc=1800Hz;
(7) K is solved according to formula (7)p=0.04;
(8) according to requirement of the formula (8) to Fundamental-frequency Current tracking steady-state error Δ I, K is calculatedr=0.3;
(9) according in formula (9) to KrhRequirement, solve Kr5=0.01, Kr7=0.005;
(10) after the completion of control parameter design, again according to the magnitude margin of system open loop transmission function G (s) check systems GM and Phase marginThe magnitude margin GM=5.2dB and Phase margin of systemWhole system has enough stabilizations Nargin;
According to the current control system of this conceptual design in three-phase grid Current experiments oscillogram such as Fig. 3 institutes to obtaining Show, three-phase output current symmetry is good, and sinusoidal per mutually nearly smooth, and THD meets country for power grid 2.2% or so The requirement of harmonic wave.
Control program proposed by the invention can be in the case where ensureing double resonance filter filtering effect, not additional big Damping resistance is introduced on the basis of extra controlling unit, easy and effective to double resonance Filter Type three-phase grid-connected inverter Resonance spikes are suppressed, and ensure the stability of whole system, export the smooth sinusoidal pattern grid-connected current of three-phase symmetrical.

Claims (3)

1. a kind of control method suitable for three-phase double resonance wave filter grid-connected inverting system, filters for the double resonance of low resistance type Device, by the calculating to double resonance filter resonance peak frequency, selects total delay time of corresponding current control inner ring, into And space voltage vector modulation SVPWM schemes are selected, and controlled using ratio resonance PR controllers and harmonic compensation HC controllers Device, makes effect of the output current by current controller, realizes and reference current is stablized, the tracking of floating, and method is as follows:
1) for low resistance double resonance wave filter, its resonant frequency f is calculatedres
<mrow> <msub> <mi>f</mi> <mrow> <mi>r</mi> <mi>e</mi> <mi>s</mi> </mrow> </msub> <mo>&amp;ap;</mo> <mfrac> <mn>1</mn> <mrow> <mn>2</mn> <mi>&amp;pi;</mi> </mrow> </mfrac> <msqrt> <mfrac> <mrow> <msub> <mi>L</mi> <mi>i</mi> </msub> <mo>+</mo> <msub> <mi>L</mi> <mi>g</mi> </msub> </mrow> <mrow> <mo>(</mo> <msub> <mi>L</mi> <mi>i</mi> </msub> <mo>-</mo> <msub> <mi>L</mi> <mn>1</mn> </msub> <mo>-</mo> <msub> <mi>L</mi> <mn>2</mn> </msub> <mo>)</mo> <mo>(</mo> <msub> <mi>L</mi> <mi>g</mi> </msub> <mo>-</mo> <msub> <mi>L</mi> <mn>1</mn> </msub> <mo>-</mo> <msub> <mi>L</mi> <mn>2</mn> </msub> <mo>)</mo> <mo>(</mo> <msub> <mi>C</mi> <mn>1</mn> </msub> <mo>+</mo> <msub> <mi>C</mi> <mn>2</mn> </msub> <mo>)</mo> </mrow> </mfrac> </msqrt> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow>
Wherein, LgFor grid side inductance, LiFor inverter side inductance, L1、L2For resonant branch inductance, C1、C2For resonant branch capacitance;
2) calculating can ensure that the control of whole system stability is always delayed Td
Wherein, TsFor system controlling cycle;
3) using PR controllers to electric current fundamental component into line trace, and using HC controllers to 5,7 subharmonic current components into Row compensation;PR controllers and HC controller expression formulas Gpr(s) and GHC(s) it is as follows respectively:
<mrow> <msub> <mi>G</mi> <mrow> <mi>H</mi> <mi>C</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> <mo>=</mo> <munder> <mo>&amp;Sigma;</mo> <mrow> <mi>h</mi> <mo>=</mo> <mn>5</mn> <mo>,</mo> <mn>7</mn> </mrow> </munder> <msub> <mi>K</mi> <mrow> <mi>r</mi> <mi>h</mi> </mrow> </msub> <mfrac> <mrow> <mn>2</mn> <msub> <mi>&amp;xi;</mi> <mi>h</mi> </msub> <msub> <mi>h&amp;omega;</mi> <mn>0</mn> </msub> <mi>s</mi> </mrow> <mrow> <msup> <mi>s</mi> <mn>2</mn> </msup> <mo>+</mo> <mn>2</mn> <msub> <mi>&amp;xi;</mi> <mi>h</mi> </msub> <msub> <mi>h&amp;omega;</mi> <mn>0</mn> </msub> <mi>s</mi> <mo>+</mo> <msup> <mi>h</mi> <mn>2</mn> </msup> <msup> <msub> <mi>&amp;omega;</mi> <mn>0</mn> </msub> <mn>2</mn> </msup> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>4</mn> <mo>)</mo> </mrow> </mrow>
Wherein KpIt is proportionality coefficient, KrAnd KrhIt is PR controllers and HC controller integral coefficients respectively, ω0It is the specified angular frequency of power grid Rate, ξ and ξhIt is the cut-off angular frequency of QPR controllers and HC controllers respectively, under normal circumstances, takes ξ=ξh=0.003.
2. control method according to claim 1, it is characterised in that in the design of PR controller parameters,
Calculate the frequency f that phase-frequency characteristic curve passes through -180 °r, and according to frIt is selected to ensure system magnitude margin GM=6dB Cutoff frequency fc, frAnd fcRespectively as shown in formula (5) (6):
<mrow> <mi>lg</mi> <mrow> <mo>(</mo> <mfrac> <msub> <mi>f</mi> <mi>r</mi> </msub> <msub> <mi>f</mi> <mi>c</mi> </msub> </mfrac> <mo>)</mo> </mrow> <mo>=</mo> <mn>0.3</mn> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>6</mn> <mo>)</mo> </mrow> </mrow>
According to fc, calculate the Proportional coefficient K in PR controllersp, it is as follows to correspond to formula:
<mrow> <msub> <mi>K</mi> <mi>p</mi> </msub> <mo>=</mo> <mfrac> <mrow> <mn>4</mn> <msub> <mi>&amp;pi;f</mi> <mi>c</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>L</mi> <mi>i</mi> </msub> <mo>+</mo> <msub> <mi>L</mi> <mi>g</mi> </msub> <mo>)</mo> </mrow> </mrow> <msub> <mi>U</mi> <mi>d</mi> </msub> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>7</mn> <mo>)</mo> </mrow> </mrow>
Wherein, UdFor DC voltage, LiFor inverter side inductance in double resonance wave filter, LgFor grid side inductance;
Make Fundamental-frequency Current tracking steady-state error Δ I=2%In, InRated current is exported for inverter, calculates KrValue:
<mrow> <mi>&amp;Delta;</mi> <mi>I</mi> <mo>=</mo> <mfrac> <mrow> <mn>2</mn> <msub> <mi>U</mi> <mi>g</mi> </msub> </mrow> <mrow> <msub> <mi>U</mi> <mi>d</mi> </msub> <mrow> <mo>(</mo> <msub> <mi>K</mi> <mi>p</mi> </msub> <mo>+</mo> <msub> <mi>K</mi> <mi>r</mi> </msub> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>=</mo> <mn>2</mn> <msub> <mi>%I</mi> <mi>n</mi> </msub> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>8</mn> <mo>)</mo> </mrow> </mrow>
Wherein, UgFor power grid rated voltage.
3. control method according to claim 1, it is characterised in that in the design of HC controller parameters:
HC controllers are made in fcPhase-frequency error caused by placeCalculate KrhValue:
CN201711209503.XA 2017-11-27 2017-11-27 Control method suitable for three-phase double-resonant-filter grid-connected inverter system Expired - Fee Related CN107919682B (en)

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CN110289634A (en) * 2019-06-10 2019-09-27 天津大学 Three-phase grid-connected inverter low voltage traversing control method suitable for asymmetric fault
CN112583377A (en) * 2020-12-30 2021-03-30 格至控智能动力科技(上海)有限公司 Eight-order noise filtering method for motor control

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