CN105099200B  The double active bridge DC converter exchange phasor analysis of phase shifting control and modeling method  Google Patents
The double active bridge DC converter exchange phasor analysis of phase shifting control and modeling method Download PDFInfo
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 CN105099200B CN105099200B CN201510406666.1A CN201510406666A CN105099200B CN 105099200 B CN105099200 B CN 105099200B CN 201510406666 A CN201510406666 A CN 201510406666A CN 105099200 B CN105099200 B CN 105099200B
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 phasor
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 238000004458 analytical methods Methods 0.000 title claims abstract description 31
 230000001939 inductive effects Effects 0.000 claims abstract description 15
 239000008385 outer phases Substances 0.000 claims description 8
 239000003990 capacitor Substances 0.000 claims description 7
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Abstract
Description
Technical field
The invention belongs to Power Electronic Technique and intelligent grid research field, more particularly to a kind of phase shift based on phasor approach The double active bridge circuit power analysis methods of control and modeling.
Background technology
With the development of intelligent grid, no industrial frequency transformer highpower power electronic converter with its high efficiency, intellectuality, The features such as low stain, increasingly causes the concern of people.No industrial frequency transformer highpower power electronic converter common at present is adopted With Cascade Topology Structure, by cascade multilevel ACDC rectification modules, bidirectional DCDC converter module and many level DCAC inversion moulds Block is constituted.
Double active bridge DCDC converter structures are due to electrical isolation, buck conversion, bidirectional energy transmission, Gao Gong The features such as rate density, is used by bidirectional DCDC converter module.
The traditional analysis of the double active bridges of phase shifting control is to power characteristic analysis mainly in analysis phase shifting control principle On the basis of waveform, power mathematical modeling is obtained by Definite Integral Calculation, and then the characteristic of transimission power and reactive power is entered Row analysis.Although this method can draw more accurately result, there is also substantially not enough.Its major defect is to count Calculate complicated, physical significance is indefinite, the relation that the result of analysis can not intuitively reflect between transimission power and reactive power, and And can not set up versatility model for a variety of phase shift system traditional analysis.
[1]M.N.Kheraluwala,R.W.Gascoigne,D.M.Divan,and E.D.Baumann, “Performance characterization of a highpower dual active bridge DCtoDC converter,”IEEE Trans.Ind.Appl.,vol.28,no.6,pp.1294–1301,Nov./Dec.1992.
[2]R.W.DeDoncker,M.H.Kheraluwala,and D.M.Divan,“Power conversion apparatus for DC/DC conversion using dual active bridges,”U.S.Patent 5027264, Jun.25,1991.
The content of the invention
For the shortcomings and deficiencies of traditional analysis, it is an object of the present invention to propose a kind of shifting based on phasor approach The double active bridge DC converter power analysis of phase control and modeling method, double active bridges include：Double active H bridges, dual threelevel half Bridge, side trilevel halfbridge, the active H bridges of opposite side.Set up and a kind of can be used in the unified analysis model of a variety of phase shifting controls simultaneously Smallsignal model is set up on the basis of this unified model.
In order to realize abovementioned task, the present invention takes following technical solution：
The double active bridge DC converter power analysis of phase shifting control based on phasor approach and modeling method, this method pass through Active bridge both end voltage is equivalent to two squarewave voltage sources by the method for effect, then squarewave voltage is decomposed into by Fourier space The superposition of sinusoidal voltage.The active power and reactive power of fundamental wave and each harmonic are analyzed by phasor approach, with plural number Calculating replace sinusoidal quantity calculating, greatly simplify calculating.And propose a kind of physical significance based on phasor approach it is clear, Analysis result is accurate and the analysis method of the simple double active bridge phase shifting controls of computing, can set up double by this analysis method The unified smallsignal model of active bridge.
Phase shifting control double active bridge circuit analysis methods and modeling method based on exchange phasor approach, comprise the following steps：
1) double active bridge DC converter equivalent models are replaced, and draw the voltage and inductive current of (2n+1) component of degree n n Phasor expression formula；
2) according to step 1) in phasor expression formula, obtain under different phase shifting controls correspondence phasor diagram；
3) according to step 1) in phasor expression formula, obtain the complex power expression formula of equivalent voltage source, analyze different phase shift controls The lower active power of system and reactive power characteristic；
4) according to step 1) in phasor expression formula and the converter differential equation, obtain Fu of double active bridge steadystate model time domains In leaf sum of series expression formula, using smallsignal perturbation technique, smallsignal disturbance is introduced into steadystate model, lower pair of phase shifting control is obtained The unified smallsignal model of active bridge DC converter.
The present invention further improvement is that, step 1) in, double active bridge DC converters can be substituted with equivalent model, such as Shown in Fig. 1, each active bridge AC voltage can use squarewave voltage source V_{ab}(t)、V_{cd}(t) represent, and may be expressed as The unlimited superposition of the sine wave signal of different frequency.
Wherein, V_{ab}(t) it is the active AC squarewave voltage of bridge 1, V_{cd}(t) it is the active AC squarewave voltage of bridge 2, V_{in}For Input direct voltage, V_{out}To export DC voltage,For the highfrequency isolation transformer turn ratio, ω is to exchange angular frequency, n=1,2, 3..., α_{1}For the interior phase shifting angle of active bridge 1, α_{2}For phase shifting angle, α between active bridge 1 and active bridge Bridge 2_{4}For the interior phase shift of active bridge 2 Angle, α_{3}For phase shifting angle α in active bridge 2_{4}The phase shifting angle α between bridge_{2}Sum.
The present invention further improvement is that, step 1) carry the mould that two sinusoidal ac potential sources are connected by inductive circuit Type, sets up the state equation of switch function：
1) double active bridge DC converter friendship/cross ring section state differential equations：
Wherein R_{L}For transformer resistance, L_{s}For transformer leakage inductance, i_{L}(t) it is transformer current.
2) bringing squarewave voltage source equivalent expression (1) and (2) in formula (3) into can obtain equivalent based on switch function The differential equation：
The present invention further improvement is that, step 1) in (2n+1) component of degree n n voltage and inductive current phasor express Formula can draw equilibrium transport amount expression formula according to the equivalent differential equation of switch function in claim 3：
And then determine (2n+1) component of degree n n phasor expression formula of squarewave voltage and inductive current：
The present invention further improvement is that, according to step 1) in draw voltage, inductive current (2n+1) component of degree n n phasor The equilibrium transport amount expression formula of expression formula and converter, step 2 can be drawn respectively) outer phase shift between jackshaft, move in single active bridge Outer phase shift between Xiang Yuqiao, and in doube bridge between phase shift and bridge under outer phase shifting control, the phasor diagram of double active bridge DC converters.
The present invention further improvement is that, according to step 1) in draw voltage, inductive current (2n+1) component of degree n n phasor Expression formula can show under three kinds of phase shifting controls that equivalent sinusoidal voltage source is answered in double active bridge DC converter (2n+1) component of degree n ns Power and high frequency transformer leakage inductance L_{S}Reactive power：
Wherein,
The present invention further improvement is that, step 3) in complex power active power do not considering that circuit loss situation is inferior In DC output power, then active side output current (2n+1) component of degree n n of bridge 2Phasor expression formula be：
Do not consider under output DC bus capacitor impedance conditions, draw DC side output voltage, DC bus capacitor electric current with bearing Currentcarrying equilibrium transport amount expression formula：
WhereinOutput voltage (2n+1) component of degree n n,It is secondary for the active side output current (2n+1) of bridge 2 Component, C is output capacitor,For output capacitor electric current (2n+1) component of degree n n,For load current (2n + 1) component of degree n n.
Obtain the Fourier space and expression formula of double active bridge steadystate model time domains：
A microvariations are applied around in steady operation point and are substituted into steadystate model, are set up partial differential equation, are drawn shifting Lower pair of active bridge DC converter of phase control unifies smallsignal model：
In formula：
Double active bridge circuits are analyzed by the method for the present invention by phasor approach, and computational methods are simple, drawn physics Meaning clearly analysis model, clearly draws double relations between active bridge power transfer characteristic and phase shift angle, and herein On the basis of propose the method that smallsignal model is set up to double active bridge circuits.
Brief description of the drawings
The present invention is further described below in conjunction with the accompanying drawings.
Fig. 1 is double active H bridges DC converter topologys；
Fig. 2 (a) is double active bridge DC converter equivalent circuits；
Fig. 2 (b) is double active bridge DC converter synchronous motor equivalent circuits；
Fig. 3 phase shifting control ideal waveform figures；
Fig. 4 is phasor diagram of double active bridges in single phase shifting control strategy；
Fig. 5 is phasor diagram of the extension phase shift in A mode control strategies；
Fig. 6 (a) is the phasor diagram of extension phase shift B mode control strategies；
Fig. 6 (b) is extension phase shift B mode control strategies, works as α_{2}Phasor diagram when=0；
Fig. 6 (c) is extension phase shift B mode control strategies, whenWhen phasor diagram；
Fig. 7 (a) is the phasor diagram of dual phase shifting control strategy；
Fig. 7 (b) is dual phase shifting control strategy, works as α_{2}=0, α_{3}=α_{1}When phasor diagram；
Fig. 7 (c) is dual phase shifting control strategy, whenWhen phasor diagram.
Embodiment
With reference to the accompanying drawings and detailed description by taking double active H bridges DC converter topologys shown in Fig. 1 as an example, to this Invention is described further.
Fig. 3 show respectively three kinds phase shifting control strategies：Single phase shift, extension phase shift, dual phase shifting control ideal waveform Figure；Wherein, V_{ab}(t)、V_{cd}(t) it is two singlephase H bridges AC squarewave voltages, the phase using drive signal S1 is as referring to phase Position, the phase delay between drive signal S4 and S1 is referred to as H1 interior phase shifting angle α_{1}；Phase between drive signal Q1 and S1 is prolonged It is referred to as outer phase shifting angle α late_{2}；Phase delay between drive signal Q4 and S1, the i.e. interior phase shifting angle α of H2_{4}With outer phase shifting angle α_{2}Sum Referred to as α_{3}(α_{3}=α_{2}+α_{4})。
By taking the advanced H2 of H1 as an example, citing point is carried out to three kinds of phase shifting control strategies respectively by exchanging phasor analysis method Analysis：
Because inductive resistance is sufficiently small, it can be ignored, the derivation of the apparent energy of inductance is as follows：
It is can be seen that from formula (1) in phase shifting control strategy, advanced bridge H1 activepower P_{ab(2n+1)}It is fully transmitted to stagnant Back axle H2 is used as output DC side power output, i.e. P_{ab(2n+1)}=P_{cd(2n+1)}.Inductance reactive power is by advanced bridge H1 and delayed bridge H2 is provided jointly.
1) single phase shifting control strategy phasor analysis method
Work as α_{1}=0 and α_{4}=0, i.e. there is phase shift between only two H bridges.Now, the phasor expression formula of two voltage sources Abbreviation isPhasorDelayed phasor Angle be (2n+1) α_{2}.Fig. 4 is two phases in double phasor diagrams of the active bridge DC converter under single phase shifting control strategy, figure The mould of amount is identical, i.e.,It can be seen that as voltage V_{in}、When keeping constant, the power of double active bridges is by moving Phase angle α_{2}To adjust.
Under single phase shifting control strategy, each harmonic power sum is
2) phase shifting control strategy phasor analysis method is extended
Extend phase shifting control strategy and there are two kinds of phase shift systems：①α_{1}≠ 0 and α_{4}=0；②α_{1}=0 and α_{4}≠0。
①α_{1}≠ 0 and α_{4}=0
Voltage phasor expression formula is respectively PhasorAngle with reference axis is the half of phase shifting angle in HB1, i.e.,1. Fig. 5 is extending for extension phase shift Phasor diagram under mode control strategy, phasorTrack fall in Figure 5 withOrFor radius In quarter circular arc.The reactive power of inductance is：
Wherein,
I.e.：α_{1}=α_{2}Under conditions of, under extending phase shifting control strategy 1. Inductance reactive power obtain minimum value：
In α_{1}=α_{2}Under conditions of, the reactive power Q of advanced bridge_{ab(2n+1)}=0, inductive currentIt is equivalent with advanced bridge Voltage sourceSamephase, i.e.In advanceQ_{L min}It is entirely to be provided by delayed bridge, phasor diagram such as Fig. 4 It is shown.On this condition, the transimission power of double active bridges is
②α_{1}=0 and α_{4}≠0
Fig. 6 (a) extends phase shift 2. control strategy phasor diagram, and the phasor expression formula of two voltage sources is expressed as Advanced bridge H1, delayed bridge H2 Complex power is respectively
Work as α_{2}When=0, phasorFor constant, at this moment phasorTrack and Fig. 5 in phasorTrack it is identical, be withFor the quarter circular arc of radius；Unlike, phasorTrack is with α_{3}Change Become；It can be seen from geological theorems, in this case, phasor90 ° of delayed phase leakage inductance voltagephase, then leak electricity electrification Flow phase and phasorIt is identical, therefore now delayed bridge reactive power is zero, shown in corresponding phasor diagram such as Fig. 6 (b).α_{2} Phasor when=0Trajectory extends one of phase shift boundary condition for it.
WhenWhen, phasorTrack is with α_{2}Change turn to phasorTrajectory is under extension phase shifting control Another boundary condition, shown in such as Fig. 6 (c).
In Fig. 6Boundary locus is under single phase shiftWith phase shifting angle variation track line.So far, draw Phasor in the case of 2. extension movesActual control area, as shown in dash area in phase Fig. 6.
3) dual phase shifting control strategy phasor analysis method
Dual phase shifting control strategy is the i.e. α by controlling HB1 equal with HB2 interior phase shifting angle_{1}=α_{4}, Fig. 7 (a) is dual Dash area is the ordinary circumstance control area of dual phase shifting control strategy, advanced bridge in the phasor diagram of phase shifting control strategy, figure H1 and delayed bridge H2 complex power is respectively：
Work as α_{2}=0, α_{3}=α_{1}, such as in Fig. 7 (b) withOrFor the side of the quarter circular arc of radius Boundary track, phasorWith phasorOverlap, then the activepower P of two H bridges_{ab}=P_{cd}=0, i.e. the electricity on inductance Pressure and electric current are 0, and advanced bridge H1 and delayed bridge H2 complex power are represented by：
WhenWithPhase is different,With expansion in track such as Fig. 7 (c) Phasor in Fig. 6 in exhibition phase shiftTrack it is identical, H1 and H2 complex power are respectively：
Above example is only the exemplary embodiment of the present invention, is not used in the limitation present invention, protection scope of the present invention It is defined by the claims.Those skilled in the art can make respectively in the essence and protection domain of the present invention to the present invention Modification or equivalent substitution are planted, this modification or equivalent substitution also should be regarded as being within the scope of the present invention.
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