CN104008231B - Modeling and analyzing method for switching power converter controlled by digital current mode - Google Patents
Modeling and analyzing method for switching power converter controlled by digital current mode Download PDFInfo
- Publication number
- CN104008231B CN104008231B CN201410193880.9A CN201410193880A CN104008231B CN 104008231 B CN104008231 B CN 104008231B CN 201410193880 A CN201410193880 A CN 201410193880A CN 104008231 B CN104008231 B CN 104008231B
- Authority
- CN
- China
- Prior art keywords
- switching power
- modeling
- power converter
- digital
- digital 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
Abstract
The invention discloses a modeling and analyzing method for a switching power converter controlled by a digital current mode. The method comprises the steps of (100) adopting a state-space averaging method to build a transfer function of a power level circuit of the switching power converter; (200) listing and writing a transfer function of a zero-order holding circuit of a digital controller and a delay delivery function of a digital control loop; (300) listing and writing a detection gain of an output voltage and a detection gain of an inductive current, wherein the detection gains comprise A/D conversion gains; (400) obtaining a function Gc representing a current control law according to a digital current mode control law, designing a voltage loop compensator Gv on this basis, and completing modeling of a whole switching power converter system controlled by the digital current mode; (500) finally adopting an equivalent small parameter method to conduct stability analysis on the built model. According to the modeling and analyzing method, the accuracy of the system model is improved, and the quite high application value is obtained for research on system nonlinearity.
Description
Technical field
The present invention relates to the modeling of switch converters, more particularly to a kind of switch power conversion of digital current mould control
The modeling of device and analysis method.
Background technology
Switching Power Supply is high-order-discrete-non-linear-time-varying system with closed loop control, and strong nonlinearity is
The essence of switch converters.Therefore, modeling method, Nonlinear Mechanism and the stability analyses for studying switch converters are electric power electricity
The important content in sub- field.The non-linear spies such as chaos, the fork of all kinds of switch converters that Chinese scholars are controlled simulation
The analysis of property, and the research of the segmentation switching law of switch converters, achieve great successes.However, due to being controlled by numeral
The impact of sampling holding, time delay and quantization error in system processed, the switching to digital control DC-DC switch converters is non-
Linear characteristic analysis is increasingly complex, therefore the foundation of its model also will be more crucial.
It is consistent with the non-linear operation mechanism that analysis mode controls DC-DC converter, if setting up the control of digital current mould
The switching Linear system model of DC-DC converter, you can find the non-linear phenomenas such as its potential chaos, fork, discloses numeral
The non-linear operation mechanism of control system.Meanwhile, carry out Study system entirety also based on the digital current mould control system set up
Stability, show that the parameter of system stability and chaos state work is interval.These analysis results will be in circuit system parameter optimization
It is significant on applied research in terms of design, raising system stability.
The object that at present Chinese scholars are mainly studied becomes for simulation control DC-DC converter, and numerically controlled DC-DC
Parallel operation its object of study is also just for the DC-DC converter of digital voltage mould control.Additionally, during modeling, often
Have ignored the problem of the sampling holding, loop delay and quantization in digital control loop.
The content of the invention
Present invention is primarily targeted at setting up the digital control ring of consideration for the DC-DC converter of digital current mould control
A kind of problem of sampling holding, loop delay and quantization in road, there is provided switching power converter of digital current mould control
Modeling and analysis method.
The purpose of the present invention is realized by following technical scheme：1st, a kind of switch power conversion of digital current mould control
The modeling of device and analysis method, it is characterised in that comprise the following steps：
S100, adoption status space average method set up the transmission function of the power stage circuit of switching power converter；
The delay that S200, row are write out in the transmission function and digital control loop of the zero-order holding circuit of digitial controller is passed
Delivery function；
S300, row write out detection gain, the detection gain of inductive current of output voltage, including A/D conversion gains；
S400, according to digital current mould control law, draw the function G for representing current control rulec, and here basis
On, design voltage loop compensator Gv, complete the modeling of the switching power converter system of whole digital current mould control；
S500, finally stability analyses are carried out to institute's established model using equivalent small parameter method.
Preferably, in step S100, described State-space Averaging Principle is drawn using the operation principle of DC-DC converter
Its state equation：Wherein x=[iL vo]TFor state variable；U is input voltage；A=dA1+(1-d)A2；B=
dB1+(1-d)B2；D represents the dutycycle of DC-DC converter；Ai(i=1,2) the state square being respectively during switching tube on, off
Battle array；Bi(i=1, the input matrix 2) being respectively during switching tube on, off then may be used based on the state equation of DC-DC converter
Obtain output variable x=[iL vo]TTo the transmission function of dutycycle dLed
Transmission function G of circuitidAnd Gvd。
Preferably, in step S200, described digitial controller includes that digital pulse width modulator DPWM and modulus turn
There is sampling in parallel operation ADC, wherein digitial controller and quantify link, discrete signal is converted into company by conventional zero-order holding circuit
Continuous signal, its transmission functionWherein T is the sampling period.
Preferably, calculating time t of the delay comprising controller in step S200, in described digital control loopc、A/
Conversion time t of D devicesa/dAnd T time delay of variable connectord, the wherein calculating time t of controllerc, A/D devices conversion time
ta/dThe transmission function being combined isThe delay transmission function of variable connectorNumeral control
The transmission function of all delays in system loop processed
Preferably, in step S300, the detection gain of described output voltage, including A/D conversion gains,The detection gain of inductive current, including A/D conversion gains,Wherein, Vref,ADC_V、
Vref,ADC_IOutput voltage, the detected value of inductive current are represented respectively；N represents the digit of A/D converter.
Preferably, in step S400, described digital current mould control law refers to the pulse width of DC-DC switch converters
Degree modulation rule, mainly includes that single-edge modulation and double edge modulate two kinds of modulation systems, wherein single-edge modulation include leading edge modulation and
Trailing edge modulation, double edge modulation include the modulation of triangle leading edge and triangle trailing edge modulation.
Preferably, in step S400, the function G of described expression current control rulec=Gc(ic,is, d) it is control letter
The related function of number sampled value, inductive current sampled value, three variables of duty cycle signals；Abbreviation Gc=Gc(ic,is, d), then count
Word current mould modulation system can be by Fm(z) representing, different digital current mould modulation systems, FmZ the expression formula of () is different, but
FmZ the uniform expression of () can be by D (z)=Fm(z)·(ic(z)-is(z)) representing, in formula, ic(z)=vc(z)；D(z)、vc
(z)、isZ () represents respectively the z domains transmission function of the sampled value of the error voltage after dutycycle, compensation and inductive current.
Preferably, in step S400, described voltage loop compensator GvUsually PI compensators, its s domain model is：In formula, Kp、KIThe proportionality coefficient and integral coefficient of PI compensators are represented respectively；The z domains mould of PI compensators
Type expression formula is represented by：Wherein TsFor DC-DC converter
Switch periods.
Preferably, in step S500, the detailed process of described equivalent small parameter method is：(1) basic PWM DC-DC conversion
Device main circuit utilizes the time-varying state differential equation：g1(p)x1+g2(p)f1=u1And f1=δ (t) (x1+e)；(2) feedback control electricity
The differential equation on road is expressed as：g3(p)x2+Fx1=u2；Wherein, p=d/dt, g1(p), g2(p), g3P () is multinomial for operator p's
Formula, is the coefficient matrix relevant with physical circuit；x1, x2Respectively main circuit and control circuit state variable are vectorial；(3) basis
Side circuit solves expression formula d of dutycycle；(4) by state variable xi(i=1,2), d, δ, f1Major event and little is expanded into respectively
The progression form of amount sum, such asAccording to equation the right and left εjCoefficient it is equal, try to achieve
Steady-state period solves xiExpression formula.
Preferably, PWM DC-DC switching power converter closed loops are analyzed using equivalent small parameter method by institute's established model
The stable state of system.
The present invention compared with prior art, has the advantage that and beneficial effect：
1st, the present invention considers sampling nature and loop delay in current control rule, loop in modeling process, can carry
The accuracy of high system model.
2nd, the present invention analyzes the stable state of PWM DC-DC switching power converter closed loop systems using equivalent small parameter method,
Its algorithm is simply and with high accuracy.
3rd, modeling of the present invention and analysis method are applied to all digital current moulds control PWM DC-DC switch work(
Rate changer.
The DC-DC converter model simple, intuitive of the digital current mould control that the 4th, the present invention is set up, and using equivalent little
Parametric method analysis method come analyze current-mode control DC-DC converter contribute to understanding the working mechanism of circuit.
Description of the drawings
Fig. 1 is digital current mould controlling switch power converter construction figure of the present invention.
Fig. 2 is digital current mould controlling switch power inverter model of the present invention.
Fig. 3 is the model of the digital current mould controlling switch power inverter after abbreviation of the present invention.
Fig. 4 is the flow chart of the modeling and analysis method of the switching power converter of digital current mould control of the present invention.
Specific embodiment
With reference to embodiment and accompanying drawing, the present invention is described in further detail, but embodiments of the present invention are not limited
In this.
Embodiment
As shown in figure 4, the modeling of the switching power converter of the present embodiment digital current mould control and analysis method, including
Following step：
S100, adoption status space average method set up the transmission function of the power stage circuit of switching power converter；
The delay that S200, row are write out in the transmission function and digital control loop of the zero-order holding circuit of digitial controller is passed
Delivery function；
S300, row write out detection gain, the detection gain of inductive current of output voltage, including A/D conversion gains；
S400, according to digital current mould control law, draw transmission function G for representing current control rulec, and here
On the basis of, design voltage loop compensator Gv, complete building for the switching power converter system that whole digital current mould is controlled
Mould；
S500, finally stability analyses are carried out to institute's established model using equivalent small parameter method.
In above-mentioned steps S100, described State-space Averaging Principle is to draw it using the operation principle of DC-DC converter
State equation：Wherein x=[iL vo]TFor state variable；U is input voltage；A=dA1+(1-d)A2；B=dB1
+(1-d)B2；D represents the dutycycle of DC-DC converter；Ai(i=1,2) state matrix being respectively during switching tube on, off；
Bi(i=1, the input matrix 2) being respectively during switching tube on, off are then obtained based on the state equation of DC-DC converter
Output variable x=[iL vo]TTo the transmission function of dutycycle dObtain main circuit
Transmission function GidAnd Gvd。
In above-mentioned steps S200, described digitial controller is (as shown in Figure 1) to include digital pulse width modulator DPWM
With analog-digital converter ADC, there is sampling wherein in digitial controller and quantify link, commonly use zero-order holding circuit by discrete signal
Continuous signal is converted into, its transmission functionWherein T is the sampling period.
Calculating time t of the delay comprising controller in digital control loop described in step S200c, A/D devices turn
Change time ta/dAnd T time delay of variable connectord, the wherein calculating time t of controllerc, A/D devices conversion time ta/dMerge
Transmission function together is(as shown in Figure 2)；The delay transmission function of variable connectorNumber
The transmission function of all delays in word control system loop(as shown in Figure 3).
The detection gain of the output voltage described in above-mentioned steps S300, including A/D conversion gains
The detection gain of inductive current, including A/D conversion gains(as shown in Figure 2 and Figure 3)；Wherein, Vref,ADC_V、
Vref,ADC_IOutput voltage, the detected value of inductive current are represented respectively；N represents the digit of A/D converter.
Digital current mould control law (as shown in Figure 1) described in above-mentioned steps S400 refers to DC-DC switch converters
Pulse width modulation rule, mainly include that single-edge modulation and double edge modulate two kinds of modulation systems, wherein single-edge modulation includes front
Edge is modulated and trailing edge modulation, and double edge modulation include the modulation of triangle leading edge and triangle trailing edge modulation.
The function G of the expression current control rule described in step S400c=Gc(ic,is, d) (as shown in Figure 2) is control
The related function of signal sampling value, inductive current sampled value, three variables of duty cycle signals；Abbreviation Gc=Gc(ic,is, d), then
Digital current mould modulation system can be by Fm(z) (as shown in Figure 3) representing, different digital current mould modulation systems, Fm(z)
Expression formula is different, but FmZ the uniform expression of () can be by D (z)=Fm(z)·(ic(z)-is(z)) representing, in formula, ic(z)=
vc(z)；D(z)、vc(z)、isZ () represents respectively the z domains of the sampled value of the error voltage after dutycycle, compensation and inductive current
Transmission function.
Voltage loop compensator G described in step S400v(as shown in Figures 2 and 3) PI compensators are usually, its s domain
Model is：In formula, Kp、KIThe proportionality coefficient and integral coefficient of PI compensators are represented respectively；PI compensators
Z domain model expression formulas be represented by：WhereinTsFor
The switch periods of DC-DC converter.
Equivalent small parameter method described in above-mentioned S500 combines the equitable advantage of method of perturbation harmonic, is a kind of calculating
Relatively easy, practical new symbolic algorithm.Its detailed process is：(1) basic PWM DC-DC converter main circuits utilize time-varying
State differential equation：g1(p)x1+g2(p)f1=u1And f1=δ (t) (x1+e)；(2) differential equation of feedback control circuit is represented
For：g3(p)x2+Fx1=u2；Wherein, p=d/dt, g1(p), g2(p), g3P () is the multinomial of operator p, had with physical circuit
The coefficient matrix of pass；x1, x2Respectively main circuit and control circuit state variable are vectorial；(3) duty is solved according to side circuit
Expression formula d of ratio；(4) by state variable xi(i=1,2), d, δ, f1The progression form of major event and a small amount of sum is expanded into respectively,
Such asAccording to equation the right and left εjCoefficient it is equal, try to achieve and solve x steady-state periodiExpression
Formula.
Above-described embodiment is the present invention preferably embodiment, but embodiments of the present invention not by above-described embodiment
Limit, other any spirit without departing from the present invention and the change, modification, replacement made under principle, combine, simplification,
Equivalent substitute mode is should be, is included within protection scope of the present invention.
Claims (10)
1. a kind of modeling of the switching power converter of digital current mould control and analysis method, it is characterised in that including following
Step：
S100, adoption status space average method set up the transmission function of the power stage circuit of switching power converter；
S200, row write out the delay transmission letter in the transmission function and digital control loop of the zero-order holding circuit of digitial controller
Number；
S300, row write out detection gain, the detection gain of inductive current of output voltage, including A/D conversion gains；
S400, according to digital current mould control law, draw the function G for representing current control rulec, and on this basis, if
Count out voltage loop compensator Gv, complete the modeling of the switching power converter system of whole digital current mould control；
S500, finally stability analyses are carried out to institute's established model using equivalent small parameter method.
2. a kind of modeling of the switching power converter of digital current mould control according to claim 1 and analysis method,
Characterized in that, in step S100, described State-space Averaging Principle is to draw its shape using the operation principle of DC-DC converter
State equation：Wherein x=[iL vo]TFor state variable；U is input voltage；A=dA1+(1-d)A2；B=dB1+
(1-d)B2；D represents the dutycycle of DC-DC converter；Ai, i=1,2, respectively switching tube on, off when state matrix；
Bi, i=1,2, respectively switching tube on, off when input matrix, the state equation based on DC-DC converter then obtains defeated
Go out variable x=[iL vo]TTo the transmission function of dutycycle dObtain the biography of main circuit
Delivery function GidAnd Gvd。
3. a kind of modeling of the switching power converter of digital current mould control according to claim 1 and analysis method,
Characterized in that, in step S200, described digitial controller includes digital pulse width modulator DPWM and analog-digital converter
There is sampling in ADC, wherein digitial controller and quantify link, discrete signal is converted into continuous letter by conventional zero-order holding circuit
Number, its transmission functionWherein T is the sampling period.
4. a kind of modeling of the switching power converter of digital current mould control according to claim 1 and analysis method,
Characterized in that, calculating time t of the delay comprising controller in step S200, in described digital control loopc, A/D devices
Conversion time ta/dAnd T time delay of variable connectord, the wherein calculating time t of controllerc, A/D devices conversion time ta/d
The transmission function being combined isThe delay transmission function of variable connectorDigital control system
The transmission function of all delays in system loop
5. a kind of modeling of the switching power converter of digital current mould control according to claim 1 and analysis method,
Characterized in that, in step S300, the detection gain of described output voltage, including A/D conversion gains,
The detection gain of inductive current, including A/D conversion gains,Wherein, Vref,ADC_V、Vref,ADC_IRepresent respectively
The detected value of output voltage, inductive current；N represents the digit of A/D converter.
6. a kind of modeling of the switching power converter of digital current mould control according to claim 1 and analysis method,
Characterized in that, in step S400, described digital current mould control law refers to that the pulse width of DC-DC switch converters is adjusted
Rule processed, including two kinds of modulation systems of single-edge modulation and double edge modulation, wherein single-edge modulation includes that leading edge is modulated and trailing edge modulation,
Double edge modulation include the modulation of triangle leading edge and triangle trailing edge modulation.
7. a kind of modeling of the switching power converter of digital current mould control according to claim 1 and analysis method,
Characterized in that, in step S400, the function G of described expression current control rulec=Gc(ic,is, it is d) that control signal is adopted
The related function of sample value, inductive current sampled value, three variables of duty cycle signals；Abbreviation Gc=Gc(ic,is, d), then numeral is electric
Stream mould modulation system is by Fm(z) representing, different digital current mould modulation systems, FmZ the expression formula of () is different, but Fm(z)
Uniform expression is by D (z)=Fm(z)·(ic(z)-is(z)) representing, in formula, ic(z)=vc(z)；D(z)、vc(z)、is(z)
The z domains transmission function of the sampled value of the error voltage after dutycycle, compensation and inductive current is represented respectively.
8. a kind of modeling of the switching power converter of digital current mould control according to claim 1 and analysis method,
Characterized in that, in step S400, described voltage loop compensator GvFor PI compensators, its s domain model is：In formula, Kp、KIThe proportionality coefficient and integral coefficient of PI compensators are represented respectively；The z domains mould of PI compensators
Type expression formula is expressed as：Wherein TsFor DC-DC converter
Switch periods.
9. a kind of modeling of the switching power converter of digital current mould control according to claim 1 and analysis method,
Characterized in that, in step S500, the detailed process of described equivalent small parameter method is：(1) basic PWM DC-DC converter masters
Circuit utilizes the time-varying state differential equation：g1(p)x1+g2(p)f1=u1And f1=δ (t) (x1+e)；(2) feedback control circuit
The differential equation is expressed as：g3(p)x2+Fx1=u2；Wherein, p=d/dt, g1(p), g2(p), g3P () is the multinomial of operator p, be
The coefficient matrix relevant with physical circuit；x1, x2Respectively main circuit and control circuit state variable are vectorial；(3) according to actual electricity
Road solves expression formula d of dutycycle；(4) by state variable xi, i=1,2, d, δ, f1Major event and a small amount of sum are expanded into respectively
Progression form, such asI=1,2, according to equation the right and left εjCoefficient it is equal, try to achieve stable state week
Phase solves xiExpression formula.
10. a kind of modeling of the switching power converter of digital current mould control according to claim 1 and analysis method,
Characterized in that, PWM DC-DC switching power converter closed loop systems are analyzed using equivalent small parameter method by institute's established model
Stable state.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201410193880.9A CN104008231B (en) | 2014-05-08 | 2014-05-08 | Modeling and analyzing method for switching power converter controlled by digital current mode |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201410193880.9A CN104008231B (en) | 2014-05-08 | 2014-05-08 | Modeling and analyzing method for switching power converter controlled by digital current mode |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN104008231A CN104008231A (en) | 2014-08-27 |
| CN104008231B true CN104008231B (en) | 2017-04-19 |
Family
ID=51368887
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201410193880.9A Active CN104008231B (en) | 2014-05-08 | 2014-05-08 | Modeling and analyzing method for switching power converter controlled by digital current mode |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN104008231B (en) |
Families Citing this family (11)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105404705A (en) * | 2014-09-15 | 2016-03-16 | 马荣康 | Modeling and stability analysis method of digital current mode control Boost converter |
| CN107305537B (en) * | 2016-04-19 | 2022-08-05 | 全球能源互联网研究院 | Method for modifying circuit network state equation according to switch state |
| CN106202706B (en) * | 2016-07-08 | 2019-07-02 | 电子科技大学 | A kind of switch converters are discrete to be modeled and stability analysis and Parameters design |
| CN106099902A (en) * | 2016-07-19 | 2016-11-09 | 河南理工大学 | A kind of DC distribution net Steady state modeling method containing hybrid vehicle |
| CN106909711B (en) * | 2017-01-11 | 2020-04-28 | 华南理工大学 | Method for solving transient solution of fractional order CCM switching converter |
| CN109815526B (en) * | 2018-12-07 | 2023-06-23 | 杭州电子科技大学 | Boost type converter large signal modeling method |
| CN110826295B (en) * | 2019-11-12 | 2023-04-07 | 西安石油大学 | High-order switching power supply converter modeling method based on signal flow diagram method |
| CN110729893B (en) * | 2019-11-19 | 2021-09-28 | 深圳航天科技创新研究院 | Power supply loop control method and system suitable for wide output |
| CN111191405B (en) * | 2019-12-17 | 2023-09-26 | 扬州船用电子仪器研究所(中国船舶重工集团公司第七二三研究所) | Power circuit modeling simulation method based on cascading topology transfer function |
| CN112180762B (en) * | 2020-09-29 | 2021-10-29 | 瑞声新能源发展(常州)有限公司科教城分公司 | Nonlinear signal system construction method, apparatus, device and medium |
| CN113128145A (en) * | 2021-03-22 | 2021-07-16 | 杭州电子科技大学 | Synchronous rectification Buck circuit small signal modeling method |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101123393A (en) * | 2007-07-24 | 2008-02-13 | 浙江大学 | Method for frequency-fixing sliding mould to control DC-DC converter and its controller |
| CN101141094A (en) * | 2007-08-17 | 2008-03-12 | 浙江大学 | Control method and controller of current limiting slip form controlled decompression DC-DC converter |
| CN101478235A (en) * | 2009-01-19 | 2009-07-08 | 中国北车股份有限公司大连电力牵引研发中心 | Control circuit for non-isolation type bidirectional DC/DC converter and control method thereof |
| JP2013114512A (en) * | 2011-11-29 | 2013-06-10 | Chuo Univ | Circuit simulation method, circuit simulation device and circuit simulation program |
-
2014
- 2014-05-08 CN CN201410193880.9A patent/CN104008231B/en active Active
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101123393A (en) * | 2007-07-24 | 2008-02-13 | 浙江大学 | Method for frequency-fixing sliding mould to control DC-DC converter and its controller |
| CN101141094A (en) * | 2007-08-17 | 2008-03-12 | 浙江大学 | Control method and controller of current limiting slip form controlled decompression DC-DC converter |
| CN101478235A (en) * | 2009-01-19 | 2009-07-08 | 中国北车股份有限公司大连电力牵引研发中心 | Control circuit for non-isolation type bidirectional DC/DC converter and control method thereof |
| JP2013114512A (en) * | 2011-11-29 | 2013-06-10 | Chuo Univ | Circuit simulation method, circuit simulation device and circuit simulation program |
Also Published As
| Publication number | Publication date |
|---|---|
| CN104008231A (en) | 2014-08-27 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN104008231B (en) | Modeling and analyzing method for switching power converter controlled by digital current mode | |
| CN101889396B (en) | Self tracking ADC for digital power supply control systems | |
| CN109245532B (en) | Fractional order sliding mode control method of buck-boost converter | |
| Wazwaz | The variational iteration method: A reliable analytic tool for solving linear and nonlinear wave equations | |
| Loxton et al. | Optimal switching instants for a switched-capacitor DC/DC power converter | |
| Boulaaras et al. | A new proof for the existence and uniqueness of the discrete evolutionary HJB equations | |
| CN106707740A (en) | Design method for digital power loop compensator based on integral separation PID | |
| CN108429460A (en) | A kind of numerical control system and method for voltage boosting dc direct current transducer crest voltage | |
| CN109245518A (en) | A kind of step-down type dc converter set time sliding-mode control | |
| CN108549238A (en) | Robust Variable gain control method based on polytope LPV system Buck converters | |
| CN105701734A (en) | Power and voltage characteristic simulation model of load with converter in DC power distribution network and simulation method | |
| CN113014090B (en) | Control method and control circuit of high-gain converter | |
| CN108199600B (en) | A kind of adaptive dynamic surface control device of full-bridge inverter | |
| US8285400B2 (en) | Digital controller for controlling output voltage under large variations in load and supply voltage | |
| JP2010092434A (en) | Simulation method by numeric operation of analog circuit, and simulation method by numeric operation of switching power supply circuit | |
| CN105404705A (en) | Modeling and stability analysis method of digital current mode control Boost converter | |
| CN211236731U (en) | Vehicle, battery simulator and single-channel circuit thereof | |
| CN107591991B (en) | Double-loop prediction control method with control error compensation | |
| Chander et al. | Design, modeling and simulation of DC-DC converter | |
| Elbaset et al. | Small-signal MATLAB/Simulink model of dc-dc buck converter using state-space averaging method | |
| A. Elbaset et al. | Small-Signal MATLAB/Simulink Model of DC–DC Buck Converter | |
| CN115987086A (en) | Single-switch DC-DC converter on-line control method based on neural network | |
| CN111969848A (en) | Control method of DC-DC converter based on switching control | |
| CN205787749U (en) | A kind of control circuit based on FPGA | |
| Dyn et al. | Approximation order of interpolatory nonlinear subdivision schemes |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C06 | Publication | ||
| PB01 | Publication | ||
| C10 | Entry into substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |