CN108092527A - A kind of sliding formwork proportional resonant control method based on three-phase Vienna rectifiers - Google Patents

A kind of sliding formwork proportional resonant control method based on three-phase Vienna rectifiers Download PDF

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CN108092527A
CN108092527A CN201711423028.6A CN201711423028A CN108092527A CN 108092527 A CN108092527 A CN 108092527A CN 201711423028 A CN201711423028 A CN 201711423028A CN 108092527 A CN108092527 A CN 108092527A
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mrow
msub
voltage
mfrac
current
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马辉
危伟
赵金刚
冯茂
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China Three Gorges University CTGU
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China Three Gorges University CTGU
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Priority to CN201810646043.5A priority patent/CN108777549A/en
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    • 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
    • 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
    • H02M1/14Arrangements for reducing ripples from dc input or output
    • 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
    • H02M7/00Conversion of ac power input into dc power output; Conversion of dc power input into ac power output
    • H02M7/02Conversion of ac power input into dc power output without possibility of reversal
    • H02M7/04Conversion of ac power input into dc power output without possibility of reversal by static converters
    • H02M7/12Conversion of ac power input into dc power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
    • H02M7/21Conversion of ac power input into dc power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal
    • H02M7/217Conversion of ac power input into dc power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only
    • H02M7/2173Conversion of ac power input into dc power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only in a biphase or polyphase circuit arrangement

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Rectifiers (AREA)

Abstract

A kind of sliding formwork proportional resonant control method based on three-phase Vienna rectifiers derives three-phase rectifier circuit equation according to the topological structure of Kirchhoff's law and three-phase Vienna rectifiers;The voltage U of capacitance above and below DC side is gathered respectivelyc1And Uc2, ac-side current ia,ib,icAnd voltage Ua,Ub,Uc, by capacitance voltage U above and below the DC side collectedc1、Uc2Addition obtains total voltage Udc, and by UdcWith DC voltage reference value UdcrefDifference current reference value i is obtained by sliding mode controllerdref, bring i intoqref=0, it converts to obtain i using 2s/2rαAnd iβ, ac-side current is converted by 3s/2r to obtain current actual value iαrefAnd iβref, then by iαrefAnd iα、iβrefAnd iβMake difference to control to obtain u by ratio resonance againAnd u, pass through voltage Ua,Ub,UcObtain the angle, θ of phaselocked loop;By u, uAnd DC voltage udc, ac-side current ia,ib,icAnd mid-point voltage signal is imported into controller together, finally obtains Vienna rectifier switch on-off signals.The present invention improves Vienna rectifiers robustness and dynamic property, improves Vienna rectifier reaction speeds, reduces DC voltage fluctuation, while has better anti-disturbance ability.

Description

A kind of sliding formwork proportional resonant control method based on three-phase Vienna rectifiers
Technical field
The invention belongs to Vienna field of rectifiers, a kind of particularly sliding formwork ratio based on three-phase Vienna rectifiers is humorous It shakes control method.
Background technology
Vienna rectifiers are a kind of outstanding three-level rectifiers, compared with traditional three-level PWM rectifier, have section Switching device quantity is saved, switching device bears voltage as output voltage half, reduces stresses of parts, when driving dead zone without setting Between, the advantages that control algolithm is relatively easy so that it becomes a hot research direction of nowadays rectifier, and Vienna Rectifier can preferably administer harmonic pollution in electric power net, improve power quality, reduce harmonic content in power grid, improve power factor (PF). In practical applications, Vienna rectifiers two close cycles are generally using PI control strategies, but PI controls are difficult to realize AC signal DAZ gene, and dynamic responding speed is slower, it is impossible to quickly so that DC-side Voltage Stabilization, to load antijamming capability also compared with Difference.In order to improve system performance, the research of Vienna rectifier control strategies is become increasingly it is necessary to.
At present, Vienna rectifiers are frequently with the PI control strategies of conventional current voltage two close cycles.Although the strategy can be with So that the adjusting of electric current becomes relatively easy, but system needs to increase pi regulator parameter tuning and Control System Design is answered Polygamy.And for Vienna rectifiers, controlled using conventional double PI, system dynamic is comparatively very poor, voltage overshoot Amount and the contradiction between rapidity and accuracy are also more prominent, are extremely difficult to preferable control effect.Sliding mode variable structure control is One of method for solving nonlinear problem at present, there is the outer voltage that some documents have applied it to three-phase rectifier in recent years Among control strategy;Also proposed a kind of PR controllers in recent years simultaneously, compared with conventional PI control device, maximum feature be Gain is very big at fundamental frequency, also has many articles that PR control strategies are applied among three-phase rectifier current inner loop at present.
The content of the invention
It is of the invention that a kind of sliding formwork ratio resonance control based on three-phase Vienna rectifiers is provided regarding to the issue above with deficiency Method processed, to improve shortcoming present in Traditional control strategy.Sliding formwork control is applied to outer voltage by novelty of the invention, PR control strategies are applied to current inner loop.For capacitance voltage midpoint potential balance problem above and below DC side, the present invention uses It is whole can not only to improve Vienna for traditional PI control strategies, the combination of both control strategies of outer voltage and current inner loop Device robustness and dynamic property are flowed, Vienna rectifier reaction speeds can also be improved, reduces DC voltage fluctuation, has simultaneously There is better anti-disturbance ability.
The technical solution that the present invention takes is:
A kind of sliding formwork proportional resonant control method based on three-phase Vienna rectifiers, comprises the following steps:
Step 1:Three-phase rectifier circuit is derived according to the topological structure of Kirchhoff's law and three-phase Vienna rectifiers Equation;
Step 2:The voltage U of capacitance above and below DC side is gathered respectivelyc1And Uc2, ac-side current ia,ib,icAnd voltage Ua, Ub,Uc, by capacitance voltage U above and below the DC side collectedc1、Uc2Addition obtains total voltage Udc, and by UdcJoin with DC voltage Examine value UdcrefDifference current reference value i is obtained by sliding mode controllerdref, bring i intoqref=0, it is got in return using 2s/2r changes To iαAnd iβ, ac-side current is converted by 3s/2r to obtain current actual value iαrefAnd iβref, then by iαrefAnd iα、iβref And iβMake difference to control to obtain u by ratio resonance againAnd u, pass through voltage Ua,Ub,UcObtain the angle, θ of phaselocked loop;
Step 3:By u, uAnd DC voltage udc, ac-side current ia,ib,icAnd mid-point voltage signal is together It imported into controller, finally obtains Vienna rectifier switch on-off signals.
For infinity, the gain very little at disresonance frequence, ideal pass preferable ratio resonance function for gain at fundamental wave Delivery function is:
Wherein:S be complex frequency domain operator, KPFor proportionality coefficient, KRFor resonance coefficient, ω0For fundamental frequency.
Since by ectocine, preferable PR controllers are difficult to realize, therefore higher non-ideal of general stability in use PR controllers, transmission function are:
Wherein ωc0, increase ωcFrequency fluctuation, which can be reduced, influences controller, ωcFor angular frequency.
Choose VdcAnd iqFor output variable, sliding-mode surface is chosen as shown in formula (3),
To sliding-mode surface S2Derivation (UdcFor variable, UdcrefTo give constant, derivative 0) it can obtain
Due to
It can be obtained by formula (4), (5)
Order
Wherein ε0Represent the speed of convergence diverter surface, value is more than 0, k0Represent Reaching Law index coefficient, value also greater than 0, SdAnd SqRespectively switch function Sa,Sb,ScIn dqVariable under coordinate system, idcFor the electric current of midpoint potential.
During stable state,
Upper and lower capacitance middle position point uses PI controllers:
Wherein Kp1And KiRatio and integral coefficient are represented respectively.
Current inner loop is controlled using PR, and PR controls biggest advantage compared with traditional PI controls is need not to decouple control System, and simplify computing under α β coordinate systems.
A kind of sliding formwork proportional resonant control method based on three-phase Vienna rectifiers of the present invention, advantage are:
1st, the Compound Control Strategy combines the advantages of sliding mode control strategy and ratio resonance control strategy, can effectively improve Exchange side voltage and current follows effect, improves system rapidity, accuracy and system rejection to disturbance ability, and also have compared with Good robustness and dynamic property, moreover it is possible to complicated coordinate transformation be avoided to calculate.Compared with double PI of three-phase Vienna rectifiers For control strategy, Compound Control Strategy can preferably improve harmonic pollution in power grid and can preferably adapt to load disturbance.
2nd, improved ratio resonance control, compared to preferable ratio resonance control strategy, more damping links, both It can keep conventional resonance control mode at mains frequency the advantages of high gain, and can be so that system is fluctuated in mains frequency When remain to realize good tracing control effect.
3rd, sliding formwork control makes controller have fine dynamic control performance and antijamming capability.Pi controller is to straight The voltage-controlled fixture of galvanic electricity has good dynamic property, can improve the overall performance of control strategy.
Description of the drawings
Fig. 1 is based on sliding formwork ratio resonance control strategy control structure figure.
Fig. 2 is based on sliding formwork ratio resonance control strategy principle assumption diagram.
Ac-side current and voltage follow oscillogram and straight when Fig. 3 is based on sliding formwork ratio resonance control strategy load dump Flow side voltage oscillogram.
Fig. 4 is three-phase Vienna rectifier harmonic wave Fourier analysis figures.
Fig. 5 is ac-side current and voltage follow oscillogram and straight when being jumped based on the load of sliding formwork ratio resonance control strategy Flow side voltage oscillogram.
Fig. 6 is ac-side current and voltage follow oscillogram and DC voltage oscillogram when inductance is 3mH.
Fig. 7 is ac-side current and voltage follow oscillogram and DC voltage oscillogram when inductance is 4mH.
Fig. 8 is standard voltage value is mutated into 660V, ac-side current and voltage follow oscillogram and straight in 0.1s by 700V Flow side voltage oscillogram.
Specific embodiment
With reference to embodiment and attached drawing, the present invention is done and is further described in detail, but embodiments of the present invention are not It is limited to this.Simulation analysis are carried out to system using following parameter:
Exchange side voltage effective value is 220V, and resistance is 0.1 Ω, and inductance 4mH, DC voltage set-point is 700V, electric Hold for C1=C2=2200 μ F, load resistance are 50 Ω, in 0.1s in a DC load side 200 Ω resistance in parallel, emulation Between be 0.2s.PR controls three parameters to take K respectivelyP=6, KR=20 and ωc=10, ω0=100 π.
Fig. 1 is a kind of control structure figure of the sliding formwork proportional resonant control method based on three-phase Vienna rectifiers, comprising Following steps:
Step 1:Three-phase rectifier circuit is derived according to the topological structure of Kirchhoff's law and three-phase Vienna rectifiers Equation.
The topological structure of three-phase Vienna rectifiers is a kind of outstanding three-level PWM rectifier, with traditional three-level pwm Rectifier is compared, and is had and is saved switching device quantity, reduces stresses of parts, and dead time, control algolithm phase are driven without setting To simple, the advantages that net side power factor (PF) higher, current harmonics smaller, this is but also it becomes modern power electronic research neck One of domain hot issue, and be widely used in Active Power Filter-APF, wind-power electricity generation, photovoltaic generation, uninterruptible power supply and The industrial circles such as hybrid electric vehicle charging station;The schematic diagram of its main circuit topological structure is as shown in Fig. 2, controlled power surrounding has four A diode is surrounded, and upper and lower two diodes are fast recovery diode.Wherein ua,ub,ucIt is three-phase alternating current input voltage, ia,ib,icIt is three-phase alternating current input current, La,Lb,LcIt is three-phase filter inductance, it is equal in magnitude and be L;Ra,Rb,RcIt is three Phase filter resistance, it is equal in magnitude and be R;ip,inIt is the positive negative current of DC side respectively, Cp,CnIt is above and below DC side respectively Capacitance, it is equal in magnitude and be C, RLIt is to load, DC side busbar voltage udcFor the sum of capacitance voltage above and below DC side.
It is calculated to simplify, it is now assumed that all devices are ideal component and introduce forward current and negative current switch letter Number Sap,Sbp,ScpAnd San,Sbn,Scn, power grid is in equilibrium state and rectifier is operated in continuous state, the number in abc coordinate systems Learning model can be obtained by KCL and KVL:
Above formula is a phase voltages and upper and lower capacitance current formula in three-phase static coordinate system abc, can similarly obtain b, c two-phases electricity Press formula.Wherein Sap,Sbp,ScpAnd San,Sbn,ScnRepresent forward current and negative current switch function, RLIt is to load, udcTo be straight Flow side bus voltage, ucpFor upper capacitance voltage, ucnFor lower capacitance voltage, ia,ib,icIt is three-phase alternating current input current, La,Lb,Lc It is three-phase filter inductance.
Formula can be obtained using transformation for mula between three-phase static coordinate system abc and two-phase rotating coordinate system dq:
E in above formuladAnd eqRespectively three-phase alternating voltage ea、ebAnd ecVoltage on line side under synchronous rotating frame dq; idAnd iqRespectively three-phase alternating current ia、ibAnd icCurrent on line side under synchronous rotating frame dq, Sdp、SdnAnd Sqp、Sqn Respectively switch function Sap,Sbp,ScpAnd San,Sbn,ScnPositive-negative sequence variable under dq coordinate systems, wherein hd=sdp-sdn, hq= sqp-sqn
Current inner loop uses PR control strategies under dq coordinate systems, udAnd uqGoverning equation be:
G in above formulaPRFor current inner loop ratio resonance gain, idAnd iqRespectively given value of current value generally requires idle work( Rate is 0, so taking idref=0.
Step 2:DC side capacitance voltage U up and down is gathered respectivelyc1And Uc2, ac-side current ia,ib,icAnd voltage Ua, Ub,Uc, by capacitance voltage U above and below the DC side collectedc1、Uc2Addition obtains total voltage Udc, and by UdcJoin with DC voltage Examine value UdcrefDifference current reference value i is obtained by sliding mode controllerdref, bring i intoqref=0, it is got in return using 2s/2r changes To iαAnd iβ, ac-side current is converted by 3s/2r to obtain current actual value iαAnd iβ, then by iαrefAnd iα、iβrefAnd iβMake Difference controls to obtain u by ratio resonance againAnd u, pass through voltage Ua,Ub,UcObtain phaselocked loop angle, θ.
Step 3:By u、uAnd DC voltage udc, ac-side current ia,ib,icAnd mid-point voltage signal is together It imported into controller, finally obtains the switch on and off signal of Vienna rectifiers.
For infinity, the gain very little at disresonance frequence, ideal pass preferable ratio resonance function for gain at fundamental wave Delivery function is:
Wherein:S be complex frequency domain operator, KPFor proportionality coefficient, KRFor resonance coefficient, ω0For fundamental frequency.
Since by ectocine, preferable PR controllers are difficult to realize, therefore higher non-ideal of general stability in use PR controllers, transmission function are:
Wherein ωc0, increase ωcInfluence of the frequency fluctuation to controller, ω can be reducedcFor angular frequency.
This patent chooses Vdc and iqFor output variable, the selection of sliding-mode surface as shown by the equation,
To sliding-mode surface S2Derivation (UdcFor variable, UdcrefTo give constant, derivative 0 can obtain
Due to:
It can be obtained by formula (4), (5)
Order
Wherein ε0Represent the speed of convergence diverter surface, value is more than 0, k0Represent Reaching Law index coefficient, value also greater than 0, SdAnd SqRespectively switch function Sa,Sb,ScVariable under dq coordinate systems, idcFor midpoint potential electric current.
During stable state,
Ratio resonant controller, sliding mode controller and pi controller three are exported and are input to rectification by calculating The control signal for opening shut-off is controlled in device switching tube.
Fig. 2 is based on sliding formwork ratio resonance control strategy principle assumption diagram.In figure, udcFor DC voltage, DC side electricity Pressure stabilization function is held.The rectified device of alternating current changes into direct current.Control loop uses sliding formwork ratio resonance control strategy. SVPWM controls the switching tube to open and turn off for space vector modulation.
Ac-side current and voltage follow oscillogram and straight when Fig. 3 is based on sliding formwork ratio resonance control strategy load dump Side voltage oscillogram is flowed, resistance is 50 Ω, and a 200 Ω resistance in parallel in 0.1s, direct current side resistance is 40 Ω at this time, by Figure understands that three values can all be mutated and then gradually tend towards stability again on oscillograph in 0.1s.
Fig. 4 is three-phase Vienna rectifier harmonic wave Fourier analysis figures, and the electric current using Compound Control Strategy is understood in figure Harmonic component is 1.90%, less than 3%, is met the technical requirements, and higher harmonic content is greatly decreased.
Fig. 5 is ac-side current and voltage follow oscillogram and straight when being jumped based on the load of sliding formwork ratio resonance control strategy Side voltage oscillogram is flowed, resistance was 200 Ω, 40 Ωs in parallel with 50 Ω originally, 200 Ω resistance in parallel was disconnected in 0.1s, only 50 Ω resistance are left to work independently.
Fig. 6 is ac-side current and voltage follow oscillogram and DC voltage oscillogram when inductance is 3mH.
Fig. 7 is ac-side current and voltage follow oscillogram and DC voltage oscillogram when inductance is 4mH,
Fig. 8 is voltage reference value is mutated into 660V, ac-side current and voltage follow oscillogram and straight in 0.1s by 700V Flow side voltage oscillogram.
Comparison diagram 7 and Fig. 8 understand, DC voltage overshoot smaller during 4mH, and DC voltage stability effect is more preferable.

Claims (5)

1. a kind of sliding formwork proportional resonant control method based on three-phase Vienna rectifiers, it is characterised in that comprise the following steps:
Step 1:Three-phase rectifier circuit equation is derived according to the topological structure of Kirchhoff's law and three-phase Vienna rectifiers;
Step 2:The voltage U of capacitance above and below DC side is gathered respectivelyc1And Uc2, ac-side current ia,ib,icAnd voltage Ua,Ub, Uc, by capacitance voltage U above and below the DC side collectedc1、Uc2Addition obtains total voltage Udc, and by UdcIt is referred to DC voltage Value UdcrefDifference current reference value i is obtained by sliding mode controllerdref, bring i intoqref=0, it converts to obtain i using 2s/2rα And iβ, ac-side current is converted by 3s/2r to obtain current actual value iαrefAnd iβref, then by iαrefAnd iα、iβrefAnd iβ Make difference to control to obtain u by ratio resonance againAnd u, pass through voltage Ua,Ub,UcObtain the angle, θ of phaselocked loop;
Step 3:By u, uAnd DC voltage udc, ac-side current ia,ib,icAnd mid-point voltage signal imports together Into controller, Vienna rectifier switch on-off signals are finally obtained.
2. a kind of sliding formwork proportional resonant control method based on three-phase Vienna rectifiers according to claim 1, feature It is:
The gain at fundamental wave of preferable ratio resonance function is infinitely great gain very little, preferable transmission letter at disresonance frequence Number is:
<mrow> <msub> <mi>G</mi> <mrow> <mi>P</mi> <mi>R</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> <mo>=</mo> <msub> <mi>K</mi> <mi>P</mi> </msub> <mo>+</mo> <mfrac> <mrow> <msub> <mi>K</mi> <mi>R</mi> </msub> <mi>s</mi> </mrow> <mrow> <msup> <mi>s</mi> <mn>2</mn> </msup> <mo>+</mo> <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>1</mn> <mo>)</mo> </mrow> </mrow>
Wherein:S be complex frequency domain operator, KPFor proportionality coefficient, KRFor resonance coefficient, ω0For fundamental frequency;
Using non-ideal PR controllers, transmission function is:
<mrow> <msub> <mi>G</mi> <mrow> <mi>P</mi> <mi>R</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>s</mi> <mo>)</mo> </mrow> <mo>=</mo> <msub> <mi>K</mi> <mi>P</mi> </msub> <mo>+</mo> <mfrac> <mrow> <mn>2</mn> <msub> <mi>K</mi> <mi>R</mi> </msub> <msub> <mi>&amp;omega;</mi> <mi>c</mi> </msub> <mi>s</mi> </mrow> <mrow> <msup> <mi>s</mi> <mn>2</mn> </msup> <mo>+</mo> <mn>2</mn> <msub> <mi>&amp;omega;</mi> <mi>c</mi> </msub> <mi>s</mi> <mo>+</mo> <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>2</mn> <mo>)</mo> </mrow> </mrow>
Wherein ωc0, increase ωcFrequency fluctuation, which can be reduced, influences controller, ωcFor angular frequency.
3. a kind of sliding formwork proportional resonant control method based on three-phase Vienna rectifiers according to claim 1, feature It is:
Choose VdcAnd iqFor output variable, sliding-mode surface is chosen as shown in formula (3),
<mrow> <mi>S</mi> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>S</mi> <mn>1</mn> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>S</mi> <mn>2</mn> </msub> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <mrow> <msub> <mi>i</mi> <mrow> <mi>q</mi> <mi>r</mi> <mi>e</mi> <mi>f</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>i</mi> <mi>q</mi> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>U</mi> <mrow> <mi>d</mi> <mi>c</mi> <mi>r</mi> <mi>e</mi> <mi>f</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>U</mi> <mrow> <mi>d</mi> <mi>c</mi> </mrow> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </mrow>
To sliding-mode surface S2Derivation, UdcFor variable, UdcrefTo give constant, derivative 0 can obtain:
<mrow> <msub> <mover> <mi>S</mi> <mo>&amp;CenterDot;</mo> </mover> <mn>2</mn> </msub> <mo>=</mo> <mo>-</mo> <mfrac> <mrow> <msub> <mi>dU</mi> <mrow> <mi>d</mi> <mi>c</mi> </mrow> </msub> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>4</mn> <mo>)</mo> </mrow> </mrow>
Due to
<mrow> <mi>C</mi> <mfrac> <mrow> <msub> <mi>dU</mi> <mrow> <mi>d</mi> <mi>c</mi> </mrow> </msub> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> <mo>=</mo> <mfrac> <mn>3</mn> <mn>2</mn> </mfrac> <mrow> <mo>(</mo> <msub> <mi>S</mi> <mi>d</mi> </msub> <msub> <mi>i</mi> <mi>d</mi> </msub> <mo>+</mo> <msub> <mi>S</mi> <mi>q</mi> </msub> <msub> <mi>i</mi> <mi>q</mi> </msub> <mo>)</mo> </mrow> <mo>+</mo> <mn>2</mn> <msub> <mi>i</mi> <mrow> <mi>d</mi> <mi>c</mi> </mrow> </msub> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>5</mn> <mo>)</mo> </mrow> </mrow>
It can be obtained by formula (4), (5)
<mrow> <msub> <mover> <mi>S</mi> <mo>&amp;CenterDot;</mo> </mover> <mn>2</mn> </msub> <mo>=</mo> <mo>-</mo> <mfrac> <mn>3</mn> <mrow> <mn>2</mn> <mi>C</mi> </mrow> </mfrac> <mrow> <mo>(</mo> <msub> <mi>S</mi> <mi>d</mi> </msub> <msub> <mi>i</mi> <mi>d</mi> </msub> <mo>+</mo> <msub> <mi>S</mi> <mi>q</mi> </msub> <msub> <mi>i</mi> <mi>q</mi> </msub> <mo>)</mo> </mrow> <mo>+</mo> <mfrac> <mn>2</mn> <mi>C</mi> </mfrac> <msub> <mi>i</mi> <mrow> <mi>d</mi> <mi>c</mi> </mrow> </msub> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>6</mn> <mo>)</mo> </mrow> </mrow>
Order
<mrow> <msub> <mover> <mi>S</mi> <mo>&amp;CenterDot;</mo> </mover> <mn>2</mn> </msub> <mo>=</mo> <mo>-</mo> <msub> <mi>&amp;epsiv;</mi> <mn>0</mn> </msub> <mi>sgn</mi> <mi> </mi> <msub> <mi>S</mi> <mn>2</mn> </msub> <mo>-</mo> <msub> <mi>k</mi> <mn>0</mn> </msub> <msub> <mi>S</mi> <mn>2</mn> </msub> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>7</mn> <mo>)</mo> </mrow> </mrow>
Wherein ε0Represent the speed of convergence diverter surface, value is more than 0, k0Represent Reaching Law index coefficient, value is also greater than 0, SdWith SqRespectively switch function Sa,Sb,ScVariable under dq coordinate systems, idcFor the electric current of midpoint potential;
During stable state,
<mrow> <msub> <mi>i</mi> <mrow> <mi>d</mi> <mi>c</mi> <mi>r</mi> <mi>e</mi> <mi>f</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>CU</mi> <mrow> <mi>d</mi> <mi>c</mi> </mrow> </msub> <mo>&amp;lsqb;</mo> <msub> <mi>k</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <msub> <mi>U</mi> <mrow> <mi>d</mi> <mi>c</mi> <mi>r</mi> <mi>e</mi> <mi>f</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>U</mi> <mrow> <mi>d</mi> <mi>c</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>+</mo> <msub> <mi>&amp;epsiv;</mi> <mn>0</mn> </msub> <mi>sgn</mi> <mrow> <mo>(</mo> <msub> <mi>U</mi> <mrow> <mi>d</mi> <mi>c</mi> <mi>r</mi> <mi>e</mi> <mi>f</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>U</mi> <mrow> <mi>d</mi> <mi>c</mi> </mrow> </msub> <mo>)</mo> </mrow> <mo>+</mo> <mfrac> <mrow> <mn>2</mn> <msub> <mi>i</mi> <mrow> <mi>d</mi> <mi>c</mi> </mrow> </msub> </mrow> <mi>C</mi> </mfrac> <mo>&amp;rsqb;</mo> </mrow> <mrow> <mn>3</mn> <mrow> <mo>(</mo> <msub> <mi>u</mi> <mrow> <mi>s</mi> <mi>d</mi> </mrow> </msub> <mo>-</mo> <msub> <mi>Ri</mi> <mi>d</mi> </msub> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>8</mn> <mo>)</mo> </mrow> <mo>.</mo> </mrow>
4. a kind of sliding formwork proportional resonant control method based on three-phase Vienna rectifiers according to claim 1, feature It is:Upper and lower capacitance middle position point uses PI controllers:
<mrow> <msub> <mi>i</mi> <mn>0</mn> </msub> <mo>=</mo> <mrow> <mo>(</mo> <msub> <mi>K</mi> <mrow> <mi>p</mi> <mn>1</mn> </mrow> </msub> <mo>+</mo> <mfrac> <msub> <mi>K</mi> <mi>i</mi> </msub> <mi>s</mi> </mfrac> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <msub> <mi>U</mi> <mrow> <mi>c</mi> <mn>1</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>U</mi> <mrow> <mi>c</mi> <mn>2</mn> </mrow> </msub> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>9</mn> <mo>)</mo> </mrow> </mrow>
Wherein Kp1And KiRatio and integral coefficient are represented respectively.
5. any one sliding formwork proportional resonant control method based on three-phase Vienna rectifiers as described in Claims 1 to 4, It is characterized in that:Sliding formwork control is applied to outer voltage, and PR control strategies are applied to current inner loop;
Outer voltage is used for stable DC side output voltage, using the difference of DC side output voltage actual value and theoretical value as defeated Enter, reference current is provided for current inner loop;The actual value of outer voltage output and electric current is passed through series of computation by current inner loop, Control switching tube break-make.
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