CN107959431B - Quasi- Z-source inverter direct current bus voltage control method is predicted based on straight-through duty ratio - Google Patents
Quasi- Z-source inverter direct current bus voltage control method is predicted based on straight-through duty ratio Download PDFInfo
- Publication number
- CN107959431B CN107959431B CN201711252397.3A CN201711252397A CN107959431B CN 107959431 B CN107959431 B CN 107959431B CN 201711252397 A CN201711252397 A CN 201711252397A CN 107959431 B CN107959431 B CN 107959431B
- Authority
- CN
- China
- Prior art keywords
- quasi
- source
- voltage
- control period
- current
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
Classifications
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02M—APPARATUS 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
- H02M7/00—Conversion of ac power input into dc power output; Conversion of dc power input into ac power output
- H02M7/42—Conversion of dc power input into ac power output without possibility of reversal
- H02M7/44—Conversion of dc power input into ac power output without possibility of reversal by static converters
- H02M7/48—Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
- H02M7/53—Conversion of dc power input into ac 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
- H02M7/537—Conversion of dc power input into ac 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, e.g. single switched pulse inverters
- H02M7/5387—Conversion of dc power input into ac 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, e.g. single switched pulse inverters in a bridge configuration
- H02M7/53871—Conversion of dc power input into ac 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, e.g. single switched pulse inverters in a bridge configuration with automatic control of output voltage or current
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02M—APPARATUS 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
- H02M1/00—Details of apparatus for conversion
- H02M1/08—Circuits specially adapted for the generation of control voltages for semiconductor devices incorporated in static converters
- H02M1/088—Circuits specially adapted for the generation of control voltages for semiconductor devices incorporated in static converters for the simultaneous control of series or parallel connected semiconductor devices
Abstract
The invention discloses predict quasi- Z-source inverter direct current bus voltage control method based on straight-through duty ratio, pass through the value of the current control period of measurement inductive current and capacitance voltage, in conjunction with expected d-c bus voltage value, on the basis of the prediction model established, directly predict to lead directly to duty ratio required for next control period to modulator, corresponding switch function is exported under the modulation strategy of quasi- Z-source inverter to inverter bridge, obtain fixed switching frequency, due to being not required to assess evaluation function to each switch state, so that operand greatly reduces, being not required to higher switching frequency can be completed corresponding control；And since switch function is obtained by modulator, switching frequency is fixed, and can use identical modulator with pi regulator；This control strategy at once reacts to the state in next control period according to the voltage and current at current time, rapid to the dynamic response of system.
Description
Technical field
The present invention relates to electric electronic current change technology fields, and in particular to predicts quasi- Z-source inverter based on straight-through duty ratio
Direct current bus voltage control method.
Background technique
Limitation of the quasi- Z-source inverter due to overcoming conventional inverter step-up ratio with single stage type transformation, and its pass-through state
Dead zone function is not needed to greatly simplify debugging, reduce outlet side interference, improve inverter system stability.Quasi- Z-source inverter is logical
It crosses in the inverter bridge of conventional inverter and is inserted into pass-through state, i.e., two switching tubes up and down of same bridge arm simultaneously turn on, to straight
The output voltage in galvanic electricity source boosts.Stable exchange side output voltage in order to obtain, quasi- Z-source inverter DC bus-bar voltage
Control it is particularly important, need to control its direct current power source voltage variation when, remain stable, to keep inverter bridge transformed
Ac output voltage stabilization is supplied to load or AC network is synchronous.
The successive needle alignment Z-source inverter DC bus-bar voltage of domestic and foreign scholars proposes various control strategy, such as ratio-
Integrate (Proportional-integral, PI) control, fuzzy control, sliding formwork control (Sliding mode control,
SMC), Model Predictive Control (Model predictive control, MPC) etc..
Proportional, integral (PI) control is control plan more common, that research is more since control structure is simple, is easily achieved
Slightly.Scholars successively propose monocycle PI control and control the steady of DC bus-bar voltage by controlling quasi- Z source network capacitance voltage
Fixed or bicyclic PI control adds the quasi- source the Z capacitance current of level-one inner ring ratio or pi regulator control in capacitance voltage, to mention
The rapidity and stability of high entire control system.However, traditional PI is controlled to the higher according to lazyness of regulator parameter, parameter
Control action be limited in certain bandwidth, this bandwidth need to through compromise consideration system response rapidity and stability, when
System operation exceeds designed bandwidth, and whole control performance will reduce, such as system diverging or dynamic response slow down.There is research
Fuzzy rule is proposed into fuzzy (Proportional-integral- in conjunction with pi regulator with differential regulator
Differential, PID) control, to improve the rapidity of controller, but keep controller design complex.
Fuzzy control, ANN Control, sliding formwork control, the dynamic response of traditional Model Predictive Control strategy are fast, after
The two has in succession that more scholar studies this due to being relatively easy to Digital Implementation in recent years, such as with sliding formwork control energy storage
The single-phase quasi- Z-source inverter cutting-in control of the capacitance voltage of the quasi- Z-source inverter of type, battery current and sliding formwork control；Model is pre-
Observing and controlling system is used for the quasi- Z-source inverter of tradition, the three-level inverter of quasi- Z source diode clamper, quasi- Z source level connection multi-level inverse conversion
Device etc..
Quasi- Z-source inverter DC bus-bar voltage or the capacitance voltage control of sliding formwork control need to be directed at two electricity of Z source network
Hold voltage and all carries out feedback detection, due to two capacitance voltage differences of quasi- Z-source inverter, so that hardware cost is higher, therefore,
This method is relatively suitable for Z-source inverter, because the voltage of two capacitor is identical.
The quasi- Z source inductance electric current of traditional Model Predictive Control real-time detection, capacitance voltage, pass through the discrete time mould of circuit
The state in both type predictions next control period, under each switch function of quasi- Z-source inverter, the inductance that prediction is obtained is electric
Stream and capacitance voltage are compared with given reference value respectively, wherein make the two difference, i.e. evaluation function, the smallest switch letter
Number is by the switching signal as the next period, for controlling inverter.It is rapid to dynamic response, tracking performance is high, is also easy to
Digital Implementation.However, it is not fixed with switching frequency, computationally intensive significant deficiency, thus to power device and controller
Requirement also compared with conventional PI control height.
Summary of the invention
The purpose of the present invention is to provide predict quasi- Z-source inverter DC bus-bar voltage controlling party based on straight-through duty ratio
Method, the control to solve current quasi- Z-source inverter DC bus-bar voltage need to assess evaluation function, needs to each switch state
Higher switching frequency, switching frequency such as are not fixed, are computationally intensive at the significant insufficient problem.
To achieve the above object, the present invention, which is provided, predicts quasi- Z-source inverter DC bus-bar voltage control based on straight-through duty ratio
Method processed, the control method include: the capacitor C in the quasi- Z source network of measurement current k-th of control period1Voltage vC1[k]And inductance
Electric current iL[k]；The straight-through duty ratio derivation formula for controlling the period through discrete predictive model kth+1 and kth+1 control period
Inductive current given value derivation formula controls the straight-through duty ratio D in period in conjunction with current k-thk, predict next control period the
Straight-through duty ratio D needed for k+1 control periodk1；The PWM pulsewidth modulation for carrying out quasi- Z-source inverter, to be opened accordingly
The logical and shutdown quasi- Z-source inverter power switch S of pulse control1、S2、S3、S4、S5And S6；Make the next control period kth+1 control
The quasi- Z-source inverter DC bus inductive current average value and DC bus-bar voltage peak value in period reach reference target value I*LWith
V*PN；Wherein, the straight-through duty ratio derivation formula in discrete predictive model kth+1 control period is formula one:
Wherein, a1=1-Ts(R+r)/L, a2=2vC1[k]-vin[k]-RiPN[k], a3=vin[k]+RiPN[k]-vC1[k], TsIt indicates
Control period, L=L1=L2, R and r respectively subject to Z source network capacitor and inductance spuious internal resistance, vin[k]For k-th of control week
Phase direct current power source voltage, iPN [k] are DC side equivalent current；And
The inductive current given value derivation formula in discrete predictive model kth+1 control period is formula two:
Wherein, C=C1=C2, iL[k+1]For the inductive current in kth+1 control period in Z-source inverter lattice network, Ts
Indicate control period, iPN[k]For DC side equivalent current.
Further, it is described discrete predictive model kth+1 control the period straight-through duty ratio derivation formula formula one by
+ 1 discrete average value i of control period inductive current of quasi- Z source network kthL[k+1]Derivation formula and quasi- Z source network kth+2 controls
The discrete average value i of period inductive currentL[k+2]Derivation formula existsUnder the conditions of be derived from；Wherein, quasi- Z source network
+ 1 discrete average value i of control period inductive current of kthL[k+1]Derivation formula are as follows:
+ 2 discrete average value i of control period inductive current of quasi- Z source network kthL[k+2]Derivation formula are as follows:
Wherein, TsIndicate control period, L=L1=L2, R and r respectively subject to Z source network capacitor and inductance spuious internal resistance,
vin[k]For k-th of control period direct current power source voltage, iPN[k]For DC side equivalent current.
Further ,+2 discrete average value i of control period inductive current of the quasi- Z source network kthL[k+2]Derivation formula
By+1 discrete average value i of control period inductive current of the quasi- Z source network kthL[k+1]Derivation formula is derived from.
Further ,+1 discrete average value i of control period inductive current of the quasi- Z source network kthL[k+1]Derivation formula
By the quasi- source the Z capacitor C for controlling the period at k-th1Current expression and the quasi- Z source inductance electric current obtained by Euler's rule are led
Number discrete form expression formula is derived from, wherein the quasi- source the Z capacitor C in period is controlled at k-th1Current expression are as follows:
Wherein, C=C1=C2, Dk, Dk1... and DknRespectively kth, k+1 ... and k+n control the straight-through of period account for
Empty ratio, TsThe control period is indicated, in a control cycle TsIn non-pass-through state action time be (1-Dkj)Ts, j ∈ 0,
1 ..., n }, iPN[k]For DC side equivalent current；
Pass through the derivative discrete form expression formula for the quasi- Z source inductance electric current that Euler's rule obtains are as follows:
Wherein, TsIndicate the control period.
Further, the quasi- source the Z capacitor C that the period is controlled at k-th1Current expression is by Z quasi- in pass-through state
Source capacitor C1Electric current iC1-STExpression formula and the quasi- source the Z capacitor C in non-pass-through state1Electric current iC1-nSTExpression formula is derived from,
In, the quasi- source the Z capacitor C in pass-through state1Electric current iC1-STExpression formula are as follows:
Wherein, C=C1=C2；
The quasi- source the Z capacitor C in non-pass-through state1Electric current iC1-nSTExpression formula are as follows:
Wherein, C=C1=C2, iPNIt (t) is t moment DC side equivalent current.
Further, the inductive current given value derivation formula formula in discrete predictive model kth+1 control period
Two by+1 discrete average value v of control period capacitance voltage of quasi- Z source network kthC1[k+1]Derivation formula and quasi- Z source network kth+2
A discrete average value v of control period capacitance voltageC1[k+2]Derivation formula existsUnder the conditions of be derived from；
Wherein ,+1 discrete average value v of control period capacitance voltage of quasi- Z source network kthC1[k+1]Derivation formula are as follows:
+ 2 discrete average value v of control period capacitance voltage of quasi- Z source network kthC1[k+2]Derivation formula are as follows:
Wherein, TsIndicate control period, C=C1=C2, iPN[k]It is equivalent for k-th of control period quasi- Z-source inverter DC side
Electric current, vPN[k+2]For+2 control periods of kth quasi- Z-source inverter DC bus-bar voltage.
Further ,+2 discrete average value v of control period capacitance voltage of the quasi- Z source network kthC1[k+2]Derivation formula
By+1 discrete average value v of control period capacitance voltage of the quasi- Z source network kthC1[k+1]Derivation formula is derived from.
Further ,+1 discrete average value v of control period capacitance voltage of the quasi- Z source network kthC1[k+1]Derivation formula
By the quasi- source the Z capacitor C for controlling the quasi- Z source inductance voltage expression in period at k-th and being obtained by Euler's rule1Voltage is led
Number discrete form expression formula is derived from, wherein the quasi- Z source inductance voltage expression in period is controlled at k-th are as follows:
Wherein, L=L1=L2, Dk, Dk1... and DknRespectively kth, k+1 ... and k+n control the straight-through of period account for
Empty ratio, TsThe control period is indicated, in a control cycle TsIn non-pass-through state action time be (1-Dkj)Ts, j ∈ 0,
1 ..., n }, R and r respectively subject to Z source network capacitor and inductance spuious internal resistance, vin[k]For k-th of control period DC power supply electricity
Pressure, iPN[k]For DC side equivalent current；
The quasi- source the Z capacitor C obtained by Euler's rule1The derivative discrete form expression formula of voltage are as follows:
Wherein, TsIndicate the control period.
Further, the quasi- Z source inductance voltage expression in period that controls at k-th is by the source Z quasi- in pass-through state
Inductive drop vL-STExpression formula and the quasi- Z source inductance voltage v in non-pass-through stateL-nSTExpression formula is derived from, wherein straight-through
Quasi- Z source inductance voltage v when stateL-STExpression formula are as follows:
Wherein, L=L1=L2, R and r respectively subject to Z source network capacitor and inductance spuious internal resistance；
The quasi- Z source inductance voltage v in non-pass-through stateL-nSTExpression formula are as follows:
Wherein, L=L1=L2, R and r respectively subject to Z source network capacitor and inductance spuious internal resistance, vin(t) straight for t moment
Flow supply voltage, iPNIt (t) is t moment DC side equivalent current.
Further, the discrete predictive model includes: three bridges of quasi- Z-source inverter equivalent circuit in pass-through state
Upper and lower two power switch of one of bridge arm of arm simultaneously turn on, the not external output voltage of quasi- Z-source inverter；Non-straight
When logical state, quasi- Z-source inverter by with conventional inverter it is consistent in a manner of run comprising: as modulating wave Vmk1Compare triangular carrier
When big, inverter works in effective vector state, output voltage and power；As modulating wave Vmk1Than triangular carrier hour, inverter
It then will be operate in zero vector state, do not contribute voltage and power externally；It is directed at Z source network, in L1=L2With C1=C2When, iL1=
iL2With vC2=vC1-vin, wherein vinFor direct current power source voltage, iL1And iL2Respectively inductance L1And L2Electric current, vC1And vC2Respectively
Capacitor C1And C2Voltage, by iL1And iL2It is denoted as iL, then the dynamic simplification of quasi- Z source network is a second-order system.
The present invention has the advantage that
The present invention passes through the value of the current control period of measurement inductive current and capacitance voltage, in conjunction with expected DC bus
Voltage value directly predicts to lead directly to duty ratio required for next control period to modulation on the basis of the prediction model established
Device exports corresponding switch function to inverter bridge under the modulation strategy of quasi- Z-source inverter, obtains fixed switching frequency, by
In be not required to each switch state assess evaluation function so that operand greatly reduces, being not required to higher switching frequency can be complete
At corresponding control；And since switch function is obtained by modulator, switching frequency is fixed, and can be used with pi regulator identical
Modulator；This control strategy at once reacts to the state in next control period according to the voltage and current at current time,
It is rapid to the dynamic response of system.Based on this, quasi- Z-source inverter direct current bus voltage control method proposed by the invention is easy
Fixed in Digital Implementation, switching frequency, operand it is small, to save system development costs, while still making DC bus-bar voltage
Dynamic response it is fast, good to the tracking performance of given value.
Detailed description of the invention
Fig. 1 predicts quasi- Z-source inverter direct current bus voltage control method based on straight-through duty ratio to be disclosed by the invention
Flow diagram.
Fig. 2 predicts quasi- Z-source inverter direct current bus voltage control method based on straight-through duty ratio to be disclosed by the invention
Schematic diagram.
The equivalent circuit diagram of Z-source inverter subject to Fig. 3, (a) are the equivalent circuit diagram of the quasi- Z-source inverter of pass-through state；
It (b) is the equivalent circuit diagram of the quasi- Z-source inverter of non-pass-through state.
The source Z voltage current waveform schematic diagram subject to Fig. 4, Z source inductance electric current and voltage waveform view subject to (a)；(b) it is
The quasi- source Z capacitor C1Voltage and current waveform diagram.
Fig. 5 is proposed by the invention based on the quasi- Z-source inverter direct current bus voltage control method of straight-through duty ratio prediction
Simulation result.From top to bottom successively are as follows: direct current power source voltage vin, prediction gained straight-through duty ratio D, capacitor C1Voltage vC1, with
And DC bus-bar voltage vPN。
Fig. 6 is the simulation result of the quasi- source the Z DC bus-bar voltage control strategy based on bicyclic pi regulator.From top to bottom according to
It is secondary are as follows: direct current power source voltage vin, straight-through duty ratio D, capacitor C that pi regulator obtains1Voltage vC1And DC bus-bar voltage
vPN。
Fig. 7 is the simulation result of conventional model PREDICTIVE CONTROL.From top to bottom successively are as follows: direct current power source voltage vin, straight-through to account for
Sky ratio D=(1-vin/VPN)/2, capacitor C1Voltage vC1And DC bus-bar voltage vPN。
Specific embodiment
The following examples are used to illustrate the present invention, but are not intended to limit the scope of the present invention..
Embodiment 1
As shown in Figure 1, the present embodiment is disclosed to predict quasi- Z-source inverter DC bus-bar voltage control based on straight-through duty ratio
Method includes: the capacitor C in the quasi- Z source network of measurement current k-th of control period1Voltage vC1[k]With inductive current iL[k]；Through discrete
The straight-through duty ratio derivation formula and the inductive current given value in kth+1 control period in prediction model kth+1 control period
Derivation formula controls the straight-through duty ratio D in period in conjunction with current k-thk, predict next+1 control period of control period kth
Required straight-through duty ratio Dk1；The PWM pulsewidth modulation for carrying out quasi- Z-source inverter, to be turned on and off pulse accordingly
Control quasi- Z-source inverter power switch S1、S2、S3、S4、S5And S6；Make the quasi- source Z in next period kth+1 control period of control
Inverter DC bus inductive current average value and DC bus-bar voltage peak value reach reference target value I* LAnd V* PN；
Wherein, the straight-through duty ratio derivation formula in discrete predictive model kth+1 control period is formula one:
Wherein, a1=1-Ts(R+r)/L, a2=2vC1[k]-vin[k]-RiPN[k], a3=vin[k]+RiPN[k]-vC1[k], TsIt indicates
Control period, L=L1=L2, R and r respectively subject to Z source network capacitor and inductance spuious internal resistance, vin[k]For k-th of control week
Phase direct current power source voltage, iPN[k]For DC side equivalent current；And
The inductive current given value derivation formula in discrete predictive model kth+1 control period is formula two:
Wherein, C=C1=C2, iL[k+1]For the inductive current in kth+1 control period in Z-source inverter lattice network, Ts
Indicate control period, iPN[k]For DC side equivalent current.
As shown in Fig. 2, the above-mentioned of the present embodiment proposition predicts quasi- Z-source inverter DC bus-bar voltage based on straight-through duty ratio
Control method, including the quasi- Z source network inductive current i of current control periodL[k]With capacitance voltage vC1[k]Detection and next control
Period processed leads directly to duty ratio Dk1Prediction, thus carry out the quasi- source Z pulse width modulation (PWM).
It is above-mentioned to predict that quasi- Z-source inverter direct current bus voltage control method needs to establish DC side first based on straight-through duty ratio
The discrete averaging model of inductive current and capacitance voltage, then with inductive current inner ring follow current given value I* L, outside voltage
Ring tracks DC bus-bar voltage V* PNFor, illustrate to be proposed predicts quasi- Z-source inverter DC bus electricity based on straight-through duty ratio
Press control method.Wherein, outer loop voltag control can be used as monocycle and use control DC bus-bar voltage tracking given value.
1, the foundation of the discrete averaging model of DC side inductive current and capacitance voltage
Fig. 3 (a) and (b) respectively subject to Z-source inverter straight-through (Shoot Through, ST) and non-pass-through state etc.
Imitate circuit.In figure, vinFor direct current power source voltage, iL1And iL2Respectively inductance L1And L2Electric current, vC1And vC2Respectively capacitor C1With
C2Voltage, R and r respectively subject to Z source network capacitor and inductance spuious internal resistance, vPNSubject to Z-source inverter DC bus-bar voltage,
iPNSubject to Z-source inverter DC side equivalent current.In pass-through state, such as Fig. 3 (a), three bridges of quasi- Z-source inverter equivalent circuit
Upper and lower two power switch of one of bridge arm of arm simultaneously turn on, the not external output voltage of quasi- Z-source inverter；Non-straight
When logical state, such as Fig. 3 (b), quasi- Z-source inverter by with conventional inverter it is consistent in a manner of run comprising: as modulating wave Vmk1
When bigger than triangular carrier, inverter works in effective vector state, output voltage and power；As modulating wave Vmk1Compare triangular carrier
Hour, inverter then will be operate in zero vector state, not contribute voltage and power externally, wherein triangular carrier is amplitude and frequency
The constant isosceles triangle wave of rate, period are decided by the control cycle T of inverter power switchs, amplitude is modulation wave amplitude
A reference value；Variation of the modulation wave amplitude with respect to triangular carrier amplitude determines that inverter power is switched and opens in a control period
Logical and the turn-off time length；It is directed at Z source network, in L1=L2With C1=C2When, iL1=iL2With vC2=vC1-vin, wherein vin
For direct current power source voltage, iL1And iL2Respectively inductance L1And L2Electric current, vC1And vC2Respectively capacitor C1And C2Voltage, by iL1With
iL2It is denoted as iL, then the dynamic simplification of quasi- Z source network is a second-order system (formula seven and formula eight be second order function formula).By
Fig. 3 (a) can be obtained, in pass-through state, the quasi- source Z capacitor C1Electric current iC1-STWith inductive drop vL-STExpression formula is respectively formula three
With formula four:
Wherein, L=L1=L2, C=C1=C2, R and r respectively subject to Z source network capacitor and inductance spuious internal resistance；
It can be obtained by Fig. 3 (b), in non-pass-through state, the quasi- source Z capacitor C1Electric current iC1-nSTWith inductive drop vL-nSTExpression formula
Respectively formula five and formula six:
Wherein, L=L1=L2, C=C1=C2, R and r respectively subject to Z source network capacitor and inductance spuious internal resistance, vin(t)
For t moment direct current power source voltage, iPNIt (t) is t moment DC side equivalent current.
Remember Dk, Dk1... and DknRespectively kth, the straight-through duty ratio of k+1 ... and k+n control period, then at one
Control cycle TsIn non-pass-through state action time be (1-Dkj)Ts, j ∈ { 0,1 ..., n }.By formula three to formula six,
The quasi- source the Z capacitor C in k-th of control period1Electric current and inductive drop expression formula can be written as formula seven and formula eight respectively:
Wherein, L=L1=L2, C=C1=C2, TsIndicate the control period, R and r respectively subject to Z source network capacitor and inductance
Spuious internal resistance, vin[k]For k-th of control period direct current power source voltage, iPN[k]For DC side equivalent current；
The quasi- Z source inductance electric current and capacitor C obtained by Euler's rule1The derivative discrete form expression formula of voltage is respectively
Formula nine and formula ten:
Wherein, TsIndicate the control period.
+ 1 discrete average value of control period inductive current of quasi- Z source network kth can be obtained by formula seven to formula ten and Fig. 4
iL[k+1]With the discrete average value v of capacitance voltageC1[k+1]Derivation formula is respectively formula 11 and formula 12:
Wherein, TsIndicate control period, L=L1=L2, C=C1=C2, R and r respectively subject to Z source network capacitor and inductance
Spuious internal resistance, vin[k]For k-th of control period direct current power source voltage, iPN[k]For k-th of control period quasi- Z-source inverter direct current
Side equivalent current, vPN[k+2]For+2 control periods of kth quasi- Z-source inverter DC bus-bar voltage.
2, inner ring inductive current
The discrete average inductor current derivation formula established by formula 11 can obtain+2 control weeks of quasi- Z source network kth
The discrete average value i of phase inductive currentL[k+2]Derivation formula is formula 13:
Wherein, TsIndicate control period, L=L1=L2, R and r respectively subject to Z source network capacitor and inductance spuious internal resistance,
vin[k]For k-th of control period direct current power source voltage, iPN[k]For DC side equivalent current.Herein due to iPN[k+1]Relative to
iPN[k]Variation, vC1[k+1]Relative to vC1[k]Variation and vin[k+1]Relative to vin[k]Variation to iL[k+2]Influence not
Greatly, therefore, i is directly used in above-mentioned formula 13PN[k]、vC1[k]And vin[k]Respectively instead of iPN[k+1]、vC1[k+1]And vin[k+1]。
Straight-through duty ratio Dk1The control target in kth+1 control period is the reference target value I for ensuring given value of current* LWith
+ 2 discrete average value i of control period inductive current of kthL[k+2]Between error be zero, as shown in Fig. 4 (a), i.e. formula 14:
Formula 11 and formula 14 are substituted into formula 13, then can derive to obtain+1 control week of discrete predictive model kth
The straight-through duty ratio D of phasek1Derivation formula is formula one:
Wherein, a1=1-Ts(R+r)/L, a2=2vC1[k]-vin[k]-RiPN[k], a3=vin[k]+RiPN[k]-vC1[k], TsIt indicates
Control period, L=L1=L2, R and r respectively subject to Z source network capacitor and inductance spuious internal resistance, vin[k]For k-th of control week
Phase direct current power source voltage, iPN[k]For DC side equivalent current.
3, outer ring DC bus-bar voltage
The discrete average value v of capacitance voltage established by formula 12C1[k+1]Derivation formula can obtain quasi- Z source network kth+2
A discrete average value v of control period capacitance voltageC1[k+2]Derivation formula is formula 15:
Wherein, TsIndicate control period, C=C1=C2, iPN[k]It is equivalent for k-th of control period quasi- Z-source inverter DC side
Electric current, vPN[k+2]For+2 control periods of kth quasi- Z-source inverter DC bus-bar voltage.Herein due to iPN[k+1]Relative to iPN[k]
Variation to vC1[k+2]Influence it is little, therefore, directly use i in above-mentioned formula 15PN[k]Instead of iPN[k+1]。
The control target of outer loop voltag is to ensure+2 control periods of kth quasi- Z-source inverter DC bus-bar voltage VPN[k+2]
The given reference target value V of tracking* PN, i.e. formula 16
Formula 12 and formula 16 are substituted into formula 15, then can derive to obtain+1 control week of discrete predictive model kth
The inductive current given value derivation formula of phase is formula two:
Wherein, C=C1=C2, iL[k+1]For the inductive current in kth+1 control period in Z-source inverter lattice network, Ts
Indicate control period, iPN[k]For DC side equivalent current.
Formula two is substituted into formula one, constant straight-through of holding DC bus-bar voltage needed for kth+1 control period accounts for
Sky ratio Dk1, then the quasi- Z source inductance electric current and capacitance voltage detected by current control period predict to obtain.
By the realization process of above the present embodiment as it can be seen that proposed by the invention predict that the quasi- source Z is inverse based on straight-through duty ratio
Become device direct current bus voltage control method, be not required to additional proportional-integral controller parameter designing, evaluation function assessment, open
The selection etc. of off status, but directly prediction obtains straight-through duty ratio needed for modulator, and then obtains corresponding switch state.
Therefore, opposite conventional model PREDICTIVE CONTROL, method of the invention substantially reduce operand and the switching frequency that is kept fixed；Relatively
PI control, which simplify control design cases, and the stability controlled due to unrelated with regulator parameter is improved.
Embodiment 2
What the present embodiment was proposed predicts quasi- Z-source inverter direct current bus voltage control method based on straight-through duty ratio, with
Quasi- Z-source inverter shown in Fig. 2 and the PREDICTIVE CONTROL structure proposed, have carried out simulation study in MATLAB/Simulink.Its
In, quasi- Z source network inductance and capacitor are respectively 500 μ H and 470 μ F, the constant inverter DC bus-bar voltage ginseng of required maintenance
Examining target value is V* PN=150V.To study control of the present embodiment proposed method to DC bus-bar voltage, in simulation process,
In 0.3s, DC voltage is exported from 110V bust to 90V, and Fig. 5 is direct current power source voltage vin, the straight-through duty ratio D of prediction gained,
Capacitor C1Voltage vC1And DC bus-bar voltage vPNSimulation result under the PREDICTIVE CONTROL that the present embodiment is proposed；Fig. 6 and 7
Respectively using the simulation result of bicyclic PI control and conventional model PREDICTIVE CONTROL.Wherein, conventional model PREDICTIVE CONTROL is straight-through
Duty ratio by quasi- Z-source inverter operation logic D=(1-vin/VPN)/2 are calculated, because it is without directly leading directly to duty
Than.
When direct current power source voltage is respectively 110V and 90V, according to the working principle of quasi- Z-source inverter, to obtain 150V's
DC bus-bar voltage, required straight-through duty ratio are respectively 0.133 and 0.2, and capacitor vC1The theoretical value of voltage be 130V and
120V。
From Fig. 5-7 as it can be seen that under PREDICTIVE CONTROL proposed by the invention, duty ratio is led directly to before DC input voitage variation
Afterwards be respectively 0.133 and 0.2, capacitance voltage is respectively 130V and 120V, consistent with calculated value, and with other two methods
Steady-state value when control is consistent, illustrates the validity of proposed method, to maintain the constant of DC bus-bar voltage.In addition,
When output voltage is from when being reduced to 90V 110V moment, method proposed by the present invention adjusts straight-through duty ratio quick predict to institute
The value for needing that DC bus-bar voltage is maintained to balance, without other regulator parameter designings etc..
As it can be seen that in the case where the voltage instantaneous of 20V changes operating condition, quasi- Z-source inverter DC bus-bar voltage is being mentioned comparison diagram 5-7
Prediction out is led directly under duty ratio control, can be rapidly by straight-through duty cycle adjustment to required value, to maintain DC bus
Voltage is constant.The given speed of its tracking is suitable with conventional model PREDICTIVE CONTROL, all faster than the response of pi regulator, and each control
The operand in period processed is but greatly reduced than conventional model PREDICTIVE CONTROL.
The present invention is based on the discrete average values of quasi- Z source network inductive current and capacitance voltage directly to predict the straight of next period
Logical duty ratio gives the modulator of quasi- Z-source inverter；It is easy to Digital Implementation, and reaches comparable dynamic with conventional model PREDICTIVE CONTROL
State, static cost control performance；Compared with PI control, the parameter designings such as no additional ratio, integral, and dynamic response is rapid, stable state
Error is small；Compared with conventional model PREDICTIVE CONTROL, switching frequency is fixed, and every control period only carry out once leading directly to duty ratio it is pre-
Operation is surveyed, the assessment without carrying out cost function to each switch state, to substantially reduce operand and to controller
It is required that.
Although above having used general explanation and specific embodiment, the present invention is described in detail, at this
On the basis of invention, it can be made some modifications or improvements, this will be apparent to those skilled in the art.Therefore,
These modifications or improvements without departing from theon the basis of the spirit of the present invention are fallen within the scope of the claimed invention.
Claims (10)
1. predicting that quasi- Z-source inverter direct current bus voltage control method, the quasi- Z-source inverter include: based on straight-through duty ratio
DC power supply, quasi- Z source network, three phase inverter bridge, the quasi- Z source network include: two DC bus inductance L1And L2, two it is straight
Flow bus capacitor C1And C2And diode D1, the DC power anode DC bus passes sequentially through DC bus inductance L1, two
Pole pipe D1, bus inductance L2It is connected to three phase inverter bridge anode, the DC power cathode DC bus is connected to three phase inverter bridge
Cathode, dc-link capacitance C1One end is connected to diode D1With bus inductance L2Between, dc-link capacitance C1Other end connection
Extremely between the DC power cathode and three phase inverter bridge cathode on DC bus, dc-link capacitance C2One end is connected to bus
Inductance L1With diode D1Between, dc-link capacitance C2The other end is connected to bus inductance L2Between three phase inverter bridge anode,
It is characterized in that, the control method includes:
Measure the capacitor C in quasi- Z source network current k-th of control period1Voltage vC1[k]With inductive current iL[k]；
The inductance of the straight-through duty ratio derivation formula for controlling the period through discrete predictive model kth+1 and kth+1 control period
Given value of current value derivation formula controls the straight-through duty ratio D in period in conjunction with current k-thk, predict next control period kth+1
Straight-through duty ratio D needed for a control periodk1；
The PWM pulsewidth modulation of quasi- Z-source inverter is carried out, to be turned on and off the quasi- Z-source inverter of pulse control accordingly
Power switch S1、S2、S3、S4、S5And S6；
Keep period kth+1 quasi- Z-source inverter DC bus inductive current average value for controlling the period of next control and direct current female
Line voltage peak value reaches reference target value I* LAnd V* PN；
Wherein, the straight-through duty ratio derivation formula in discrete predictive model kth+1 control period is formula one:
Wherein, a1=1-Ts(R+r)/L, a2=2vC1[k]-vin[k]-RiPN[k], a3=vin[k]+RiPN[k]-vC1[k], TsIndicate control
Period, L=L1=L2, R and r respectively subject to Z source network capacitor and inductance spuious internal resistance, vin[k]It is straight for k-th of control period
Flow supply voltage, iPN[k]For DC side equivalent current；And
The inductive current given value derivation formula in discrete predictive model kth+1 control period is formula two:
Wherein, C=C1=C2, iL[k+1]For the inductive current in kth+1 control period in Z-source inverter lattice network, TsIt indicates
Control period, iPN[k]For DC side equivalent current.
2. according to claim 1 predict quasi- Z-source inverter direct current bus voltage control method based on straight-through duty ratio,
It is characterized in that, the straight-through duty ratio derivation formula formula one in discrete predictive model kth+1 control period is by quasi- Z source network
+ 1 discrete average value i of control period inductive current of kthL[k+1]+ 2 control period inductance of derivation formula and quasi- Z source network kth
The discrete average value i of electric currentL[k+2]Derivation formula existsUnder the conditions of be derived from；
Wherein ,+1 discrete average value i of control period inductive current of quasi- Z source network kthL[k+1]Derivation formula are as follows:
+ 2 discrete average value i of control period inductive current of quasi- Z source network kthL[k+2]Derivation formula are as follows:
Wherein, TsIndicate control period, L=L1=L2, R and r respectively subject to Z source network capacitor and inductance spuious internal resistance, vin[k]
For k-th of control period direct current power source voltage, iPN[k]For DC side equivalent current.
3. according to claim 2 predict quasi- Z-source inverter direct current bus voltage control method based on straight-through duty ratio,
It is characterized in that ,+2 discrete average value i of control period inductive current of the quasi- Z source network kthL[k+2]Derivation formula is by the quasi- Z
+ 1 discrete average value i of control period inductive current of source network kthL[k+1]Derivation formula is derived from.
4. according to claim 3 predict quasi- Z-source inverter direct current bus voltage control method based on straight-through duty ratio,
It is characterized in that ,+1 discrete average value i of control period inductive current of the quasi- Z source network kthL[k+1]Derivation formula is by k-th
Control the quasi- source the Z capacitor C in period1The discrete shape of derivative of current expression and the quasi- Z source inductance electric current obtained by Euler's rule
Formula expression formula is derived from, wherein the quasi- source the Z capacitor C in period is controlled at k-th1Current expression are as follows:
Wherein, C=C1=C2, Dk, Dk1... and DknRespectively kth, the straight-through duty ratio of k+1 ... and k+n control period,
TsThe control period is indicated, in a control cycle TsIn non-pass-through state action time be (1-Dkj)Ts, j ∈ { 0,1 ..., n },
iPN[k]For DC side equivalent current；
Pass through the derivative discrete form expression formula for the quasi- Z source inductance electric current that Euler's rule obtains are as follows:
Wherein, TsIndicate the control period.
5. according to claim 4 predict quasi- Z-source inverter direct current bus voltage control method based on straight-through duty ratio,
It is characterized in that, the quasi- source the Z capacitor C that the period is controlled at k-th1Current expression is by the source Z quasi- in pass-through state capacitor C1's
Electric current iC1-STExpression formula and the quasi- source the Z capacitor C in non-pass-through state1Electric current iC1-nSTExpression formula is derived from, wherein straight-through
The quasi- source Z capacitor C when state1Electric current iC1-STExpression formula are as follows:
Wherein, C=C1=C2；
The quasi- source the Z capacitor C in non-pass-through state1Electric current iC1-nSTExpression formula are as follows:
Wherein, C=C1=C2, iPNIt (t) is t moment DC side equivalent current.
6. according to claim 1 predict quasi- Z-source inverter direct current bus voltage control method based on straight-through duty ratio,
It is characterized in that, the inductive current given value derivation formula formula two in discrete predictive model kth+1 control period is by the quasi- source Z
+ 1 discrete average value v of control period capacitance voltage of network kthC1[k+1]Derivation formula and quasi-+2 control periods of Z source network kth
The discrete average value v of capacitance voltageC1[k+2]Derivation formula existsUnder the conditions of be derived from；
Wherein ,+1 discrete average value v of control period capacitance voltage of quasi- Z source network kthC1[k+1]Derivation formula are as follows:
+ 2 discrete average value v of control period capacitance voltage of quasi- Z source network kthC1[k+2]Derivation formula are as follows:
Wherein, TsIndicate control period, C=C1=C2, iPN[k]For k-th of control period quasi- equivalent electricity of Z-source inverter DC side
Stream, vPN[k+2]For+2 control periods of kth quasi- Z-source inverter DC bus-bar voltage.
7. according to right want 6 described in quasi- Z-source inverter direct current bus voltage control method predicted based on straight-through duty ratio, it is special
Sign is ,+2 discrete average value v of control period capacitance voltage of the quasi- Z source network kthC1[k+2]Derivation formula is by the quasi- Z
+ 1 discrete average value v of control period capacitance voltage of source network kthC1[k+1]Derivation formula is derived from.
8. according to claim 7 predict quasi- Z-source inverter direct current bus voltage control method based on straight-through duty ratio,
It is characterized in that ,+1 discrete average value v of control period capacitance voltage of the quasi- Z source network kthC1[k+1]Derivation formula is by kth
The quasi- Z source inductance voltage expression in a control period and the quasi- source the Z capacitor C obtained by Euler's rule1The derivative of voltage is discrete
Primitive formula is derived from, wherein the quasi- Z source inductance voltage expression in period is controlled at k-th are as follows:
Wherein, L=L1=L2, Dk, Dk1... and DknRespectively kth, the straight-through duty ratio of k+1 ... and k+n control period,
TsThe control period is indicated, in a control cycle TsIn non-pass-through state action time be (1-Dkj)Ts, j ∈ { 0,1 ..., n },
The spuious internal resistance of Z source network capacitor and inductance, v subject to R and r differencein[k]For k-th of control period direct current power source voltage, iPN[k]
For DC side equivalent current；
The quasi- source the Z capacitor C obtained by Euler's rule1The derivative discrete form expression formula of voltage are as follows:
Wherein, TsIndicate the control period.
9. it is wanted to predict quasi- Z-source inverter direct current bus voltage control method based on straight-through duty ratio described in 8 according to right,
It is characterized in that, the quasi- Z source inductance voltage expression in period that controls at k-th is by Z source inductance voltage quasi- in pass-through state
vL-STExpression formula and the quasi- Z source inductance voltage v in non-pass-through stateL-nSTExpression formula is derived from, wherein quasi- in pass-through state
Z source inductance voltage vL-STExpression formula are as follows:
Wherein, L=L1=L2, R and r respectively subject to Z source network capacitor and inductance spuious internal resistance；
The quasi- Z source inductance voltage v in non-pass-through stateL-nSTExpression formula are as follows:
Wherein, L=L1=L2, R and r respectively subject to Z source network capacitor and inductance spuious internal resistance, vinIt (t) is t moment direct current
Source voltage, iPNIt (t) is t moment DC side equivalent current.
10. according to claim 1 predict quasi- Z-source inverter direct current bus voltage control method based on straight-through duty ratio,
It is characterized in that, the discrete predictive model includes:
In pass-through state, upper and lower two power switch of one of bridge arm of three bridge arms of quasi- Z-source inverter equivalent circuit
It simultaneously turns on, the not external output voltage of quasi- Z-source inverter；
In non-pass-through state, quasi- Z-source inverter by with conventional inverter it is consistent in a manner of run comprising: as modulating wave Vmk1
When bigger than triangular carrier, inverter works in effective vector state, output voltage and power；As modulating wave Vmk1Compare triangular carrier
Hour, inverter then will be operate in zero vector state, not contribute voltage and power externally；
It is directed at Z source network, in L1=L2With C1=C2When, iL1=iL2With vC2=vC1-vin, wherein vinFor direct current power source voltage,
iL1And iL2Respectively inductance L1And L2Electric current, vC1And vC2Respectively capacitor C1And C2Voltage, by iL1And iL2It is denoted as iL, then quasi- Z
The dynamic simplification of source network is a second-order system.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201711252397.3A CN107959431B (en) | 2017-12-01 | 2017-12-01 | Quasi- Z-source inverter direct current bus voltage control method is predicted based on straight-through duty ratio |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201711252397.3A CN107959431B (en) | 2017-12-01 | 2017-12-01 | Quasi- Z-source inverter direct current bus voltage control method is predicted based on straight-through duty ratio |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN107959431A CN107959431A (en) | 2018-04-24 |
| CN107959431B true CN107959431B (en) | 2019-10-01 |
Family
ID=61963301
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201711252397.3A Active CN107959431B (en) | 2017-12-01 | 2017-12-01 | Quasi- Z-source inverter direct current bus voltage control method is predicted based on straight-through duty ratio |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN107959431B (en) |
Families Citing this family (10)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109149936B (en) * | 2018-09-12 | 2020-06-26 | 西安理工大学 | Duty ratio prediction control system and control algorithm suitable for DC/DC converter |
| CN109412482B (en) * | 2018-11-27 | 2020-05-22 | 浙江大学 | Unified predictive control method for quasi-Z-source inverter-permanent magnet synchronous motor system |
| CN109639153B (en) * | 2018-12-26 | 2020-01-07 | 北京航空航天大学 | Model prediction control method of Quasi-Z source indirect matrix converter |
| CN110190766B (en) * | 2019-05-13 | 2021-01-01 | 浙江工业大学 | Model prediction control method for reducing switching frequency of quasi-Z-source inverter |
| CN110780141B (en) * | 2019-11-14 | 2021-09-07 | 东北电力大学 | Method for analyzing stress of power electronic device based on mode of eliminating passive device |
| CN111817595B (en) * | 2020-06-22 | 2021-12-17 | 浙江工业大学 | quasi-Z-source inverter model prediction control method without weight coefficient |
| CN111740632B (en) * | 2020-06-29 | 2021-08-24 | 国网辽宁省电力有限公司电力科学研究院 | quasi-Z-source inverter discrete time average model prediction control device and method |
| CN112803481B (en) * | 2021-02-25 | 2022-11-25 | 东北大学 | quasi-Z-source inverter grid-connected system and method based on active disturbance rejection virtual synchronous machine |
| CN112666461B (en) * | 2021-03-17 | 2021-05-25 | 臻驱科技（上海）有限公司 | Current estimation method of inverter direct current side, motor controller, current detection device and electric automobile |
| CN114759815B (en) * | 2022-04-08 | 2024-05-03 | 西安石油大学 | Self-adaptive control method for quasi-Z source inverter |
Family Cites Families (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101710797B (en) * | 2009-12-07 | 2012-07-25 | 哈尔滨工业大学 | Current forecasting dead-beat control method of Z source type interconnected inverter and control device thereof |
| JP5397230B2 (en) * | 2010-01-07 | 2014-01-22 | 株式会社豊田中央研究所 | Power control system |
| CN102386761A (en) * | 2011-11-03 | 2012-03-21 | 中国矿业大学(北京) | Intrinsic safety output quasi-Z-source switching converter |
| CN102969921A (en) * | 2012-12-19 | 2013-03-13 | 哈尔滨工业大学 | SVPWM (Space Vector Pulse Width Modulation) control method for Z-source inverter |
| CN103986184A (en) * | 2014-04-15 | 2014-08-13 | 徐州天之源新能源科技有限公司 | Control system and control method for energy storage switch inductance type quasi-Z source single phase photovoltaic power generation |
| CN105634308A (en) * | 2014-10-29 | 2016-06-01 | 江苏绿扬电子仪器集团有限公司 | Closed-loop control system of Z-source inverter DC chain boost circuit |
-
2017
- 2017-12-01 CN CN201711252397.3A patent/CN107959431B/en active Active
Also Published As
| Publication number | Publication date |
|---|---|
| CN107959431A (en) | 2018-04-24 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN107959431B (en) | Quasi- Z-source inverter direct current bus voltage control method is predicted based on straight-through duty ratio | |
| CN103401463B (en) | The miniature photovoltaic grid-connected inverter that dc-link capacitance reduces and control method | |
| Çelik et al. | Overview of micro-inverters as a challenging technology in photovoltaic applications | |
| CN107230983B (en) | Power spring application system based on power control and control method thereof | |
| CN106877371B (en) | A kind of control method of the modular multi-level converter with energy-storage function | |
| CA2789574A1 (en) | Method and system for controlling resonant converters used in solar inverters | |
| CN103269068B (en) | A kind of photoelectric direct-current micro-grid power source device and control method | |
| CN203387430U (en) | Micro photovoltaic grid connected inverter for optimization of direct current bus capacitor | |
| Levron et al. | High weighted efficiency in single-phase solar inverters by a variable-frequency peak current controller | |
| Garrigós et al. | Combined maximum power point tracking and output current control for a photovoltaic-electrolyser DC/DC converter | |
| CN106451406B (en) | It is a kind of for connecting the flexible switchgear of two direct-flow distribution systems | |
| CN108599604B (en) | Single-phase seven-level inverter and PWM signal modulation method thereof | |
| Harfman-Todorovic et al. | A high efficiency PV micro-inverter with grid support functions | |
| Ragul et al. | PV System with Zeta Converter using ANFIS Controller based GWO Optimization | |
| CN108880316A (en) | The grid-connection converter Predictive Control System and control method of compensation with voltage | |
| CN105897024B (en) | Single-phase Cuk integrated form buck-boost inverter and control method, control system | |
| CN104124884A (en) | Photovoltaic inverter and photovoltaic air conditioner system | |
| AU2019101156A4 (en) | Single Phase Grid Connected Inverter for Photovoltaic with MPPT Strategy | |
| CN109039123A (en) | A kind of seven electrical level inverter of booster type | |
| CN103888013A (en) | Minitype inverter based on high-frequency alternating-current voltage reduction theory and digital control device thereof | |
| Khajehoddin | Resonant micro-inverters for single-phase grid-connected photovoltaic systems | |
| CN108695841A (en) | A kind of low-power independent photovoltaic generating system control method and its main circuit | |
| Deepak et al. | A Novel Method of Current Fed Dual Bridge DC to DC Converter with ZVS | |
| CN113014089A (en) | Halving boosting type high-boost ratio DC/DC converter | |
| CN112003493A (en) | Low-common-mode-voltage non-isolated bidirectional DC/AC converter and control method thereof |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |