CN110380615A - A kind of segmented Control System Design method of LLC resonant converter - Google Patents
A kind of segmented Control System Design method of LLC resonant converter Download PDFInfo
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- CN110380615A CN110380615A CN201910577253.8A CN201910577253A CN110380615A CN 110380615 A CN110380615 A CN 110380615A CN 201910577253 A CN201910577253 A CN 201910577253A CN 110380615 A CN110380615 A CN 110380615A
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- resonant converter
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- 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
- H02M3/00—Conversion of dc power input into dc power output
- H02M3/22—Conversion of dc power input into dc power output with intermediate conversion into ac
- H02M3/24—Conversion of dc power input into dc power output with intermediate conversion into ac by static converters
- H02M3/28—Conversion of dc power input into dc power output with intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate ac
- H02M3/325—Conversion of dc power input into dc power output with intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate ac using devices of a triode or a transistor type requiring continuous application of a control signal
- H02M3/335—Conversion of dc power input into dc power output with intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate ac using devices of a triode or a transistor type requiring continuous application of a control signal using semiconductor devices only
- H02M3/33569—Conversion of dc power input into dc power output with intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode to produce the intermediate ac using devices of a triode or a transistor type requiring continuous application of a control signal using semiconductor devices only having several active switching elements
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02B—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO BUILDINGS, e.g. HOUSING, HOUSE APPLIANCES OR RELATED END-USER APPLICATIONS
- Y02B70/00—Technologies for an efficient end-user side electric power management and consumption
- Y02B70/10—Technologies improving the efficiency by using switched-mode power supplies [SMPS], i.e. efficient power electronics conversion e.g. power factor correction or reduction of losses in power supplies or efficient standby modes
Abstract
The present invention relates to electronic converter control technology fields, specifically disclose a kind of segmented Control System Design method of LLC resonant converter, comprising: establish small-signal model according to the circuit parameter of LLC resonant converter；The small-signal model of LLC resonant converter is divided into two parts by boundary of resonance frequency, and respectively obtains the corresponding transmission function parsing formula of the two parts；Two parts operation interval of LLC resonant converter is determined according to the DC current gain curve under two-part resonant frequency range and corresponding fully loaded and minimum load situation respectively；State variable corresponding to the boundary point of each operation interval is substituted into corresponding transmission function parsing formula, obtains the stability margin of system open loop under corresponding states；The stability margin of boundary point each in operation interval is compared, the worst corresponding compensator of boundary point design of open loop stabilization nargin is obtained.To design the segmented control system of the converter, and then improve the stability of the controller.
Description
Technical field
The present invention relates to converters control technology field, in particular to a kind of segmentation of LLC resonant converter
Formula Control System Design method.
Background technique
In order to improve the stability of LLC resonant converter, it is therefore desirable to be carried out to the control system of LLC resonant converter excellent
Change design, design needs premised on modeling, however for controlled resonant converter, small-signal modeling is very challenging.Because
AC compounent accounting is very big in some of state variables, so normal in the converter using pulse width modulation (PWM) mode
Average concept is no longer applicable in.For LLC resonant converter, the equivalent-circuit model proposed based on extended description function concept
It is most successful model.This modeling method is approximate using fundamental wave, i.e., only considers the fundametal compoment of resonant network variable.In resonance
In the converter course of work, fundametal compoment accounting in AC signal is very big, therefore is approximately reasonable using fundamental wave.Use base
The small-signal model that wave component method is established is accurate enough for the description of LLC resonant converter.However, in current LLC resonance
In converter control system design process, due to lacking simple, systematic design cycle guidance, the design generallyd use at present
Mode is: measuring the Bode diagram of wanted control object by associated test devices first, fits corresponding transmission function, so
Control System Design is carried out to LLC resonant converter device afterwards, the order for the equivalent-circuit model that this method uses is too high, and
Transmission function be still based on numerical solution rather than analytic solutions derived from, brought to the design of LLC resonant converter control system
Difficulty, cannot enhance so as to cause the stability of LLC resonant converter.
The information disclosed in the background technology section is intended only to increase the understanding to general background of the invention, without answering
When being considered as recognizing or imply that the information constitutes the prior art already known to those of ordinary skill in the art in any form.
Summary of the invention
The purpose of the present invention is to provide a kind of Control System Design methods of LLC resonant converter, so that it is humorous to solve LLC
The problem of vibration converter can not improve its stability due to Control System Design difficulty.
To achieve the above object, the invention discloses a kind of segmented Control System Design method of LLC resonant converter,
Include:
S1 establishes small-signal model according to the circuit parameter of LLC resonant converter；
The small-signal model of LLC resonant converter is divided into two parts by boundary of resonance frequency, and respectively obtains this by S2
The corresponding transmission function of two parts parses formula；
S3 obtains the fully loaded DC current gain curve under minimum load situation of LLC resonant converter and combines switching frequency
Range obtains the operation interval of LLC resonant converter, and operation interval is divided into two parts using resonance frequency as boundary；
S4, state variable corresponding to the boundary work point by each operation interval substitute into segmented transmission function and parse formula
In, the open-loop transfer function of each boundary work point in operation interval is obtained, is obtained by the open-loop transfer function of each boundary work point
The open loop stabilization nargin of each boundary work point out；
S5 is compared the stability margin of each boundary point in two parts operation interval, obtains two parts workspace respectively
Between the worst corresponding compensator of boundary work point design of middle open loop stabilization nargin.
Preferably, in above-mentioned technical proposal, the LLC resonant converter includes half-bridge circuit, transformer and rectifying and wave-filtering
Module, two power switch tube Q1、Q2Half-bridge circuit in series, half-bridge circuit is in parallel with input power, the output of half-bridge circuit
Resonance circuit is connected, resonance circuit is by resonant inductance Lr, resonant capacitance Cr, resonant inductance LmComposition, resonance circuit is again via transformation
Device is connected to rectification filtering module and load, wherein rectification filtering module is by rectifier diode D1、D2With output filter capacitor
CoComposition.
Preferably, in above-mentioned technical proposal, LLC resonant converter operation interval is with resonance frequency frIt is divided into two for boundary
Point, there are two resonance frequencies in LLC resonant converter:
First, resonant inductance LrWith resonant capacitance CrResonance frequency f when resonance occursr
Second, resonant inductance Lr, resonant capacitance CrWith resonant inductance LmResonance frequency f when resonance occursm
Preferably, in above-mentioned technical proposal, if power switch Q1、Q2Switching frequency be fs, work as fm≤fs< frWhen LLC
The transmission function parsing formula of resonance converter is such as shown in (3):
Work as fs≥frWhen LLC resonance converter transmission function parsing formula such as shown in (4)
Preferably, in above-mentioned technical proposal, at the boundary work point that is filtered out to each frequency range with designed compensator pair
The transmission function answered is compensated to be adjusted with the stability for realizing LLC resonant converter.
Compared with prior art, the invention has the following beneficial effects:
The Control System Design method of LLC resonant converter in the present invention is simplified with existing LLC resonant converter and is divided
Based on the equivalent three ranks circuit model of section, in conjunction with corresponding transmission function expression formula, Discrete control devises a set of LLC resonance
Converter control system design method, this method provides transmission function parsing expression formulas and subsequent control system analysis to set
Meter method, this method mentality of designing is clear, calculating process is simple and easy, realizes that the segmentation of LLC resonant converter control system is set
Meter, enhances the stability of LLC resonant converter, has important theory for the Control System Design of LLC resonant converter
The stability reinforcing effect of meaning and application value, LLC resonant converter is further elaborated in following specific embodiment.
Detailed description of the invention
Fig. 1 is the design cycle schematic diagram of LLC resonant converter control system proposed by the invention.
Fig. 2 is the control system block diagram of LLC resonant converter proposed by the invention.
Fig. 3 is the topology diagram of LLC resonant converter proposed by the invention.
Fig. 4 a is f of the present inventionm≤fs< frWhen LLC resonance converter small-signal model.
Fig. 4 b is f of the present inventions≥frWhen LLC resonance converter small-signal model.
Fig. 5 a is the gain curve of LLC resonant converter.
Fig. 5 b is fm≤fs< frWhen LLC resonant converter operation interval.
Fig. 5 c is fs≥frWhen LLC resonant converter operation interval.
Fig. 6 a is the LLC resonant converter using control system designed by the present invention in fm≤fs< frWhen input electricity
Pressure disturbance simulation waveform.
Fig. 6 b is the LLC resonant converter using control system designed by the present invention in fm≤fs< frWhen load disturb
Dynamic simulation waveform.
Fig. 6 c is the LLC resonant converter using control system designed by the present invention in fs≥frWhen input voltage disturb
Dynamic simulation waveform.
Fig. 6 d is the LLC resonant converter using control system designed by the present invention in fs≥frWhen load disturbance it is imitative
True waveform diagram.
Fig. 7 is LLC resonant converter input voltage disturbance experiments waveform.
Fig. 8 is that LLC resonant converter load current increases disturbance experiments waveform.
Fig. 9 is that LLC resonant converter load current reduces disturbance experiments waveform.
Specific embodiment
With reference to the accompanying drawing, specific embodiments of the present invention will be described in detail, it is to be understood that guarantor of the invention
Shield range is not limited by the specific implementation.
Unless otherwise explicitly stated, otherwise in entire disclosure and claims, term " includes " or its change
Changing such as "comprising" or " including " etc. will be understood to comprise stated component part, and not exclude other composition portions
Point.
Fig. 1 shows the design cycle schematic diagram of LLC resonant converter control system proposed by the invention.The design stream
Journey specifically includes:
S1 establishes small-signal model according to the circuit parameter of LLC resonant converter；
The small-signal model of LLC resonant converter is divided into two parts by boundary of resonance frequency, and respectively obtains this by S2
The corresponding transmission function of two parts parses formula；
S3 obtains the fully loaded DC current gain curve under minimum load situation of LLC resonant converter and combines switching frequency
Range obtains the operation interval of LLC resonant converter, and operation interval is divided into two parts using resonance frequency as boundary；
S4, state variable corresponding to the boundary work point by each operation interval substitute into segmented transmission function and parse formula
In, the open-loop transfer function of each boundary work point in operation interval is obtained, is obtained by the open-loop transfer function of each boundary work point
The open loop stabilization nargin of each boundary work point out；
S5 is compared the stability margin of each boundary point in two parts operation interval, obtains two parts workspace respectively
Between the worst corresponding compensator of boundary work point design of middle open loop stabilization nargin, by corresponding benefit in each resonant frequency range
It repays device and substitutes into transmission function to realize the stability adjusting of LLC resonant converter.
Fig. 2 shows the control system block diagram of LLC resonant converter proposed by the invention.H (s) is sampling in Fig. 2
Transmission function, GcIt (s) is controller transfer function, GvcoIt (s) is voltage-frequency converter transmission function, GvωIt (s) is LLC resonant transformation
The transmission function of device output voltage and switching frequency.Pass through switching frequency fsValue adjusting controller transmission function Gc(s) in
Pid parameter, in fm≤fs< frWhen by Gc1(s) G is substituted intoc(s), in fs≥frWhen by Gc2(s) G is substituted intoc(s) it is humorous that LLC can be realized
The stability of vibration converter is adjusted.
Fig. 3 is LLC resonant converter topology diagram, in which: vinFor input power；Q1、Q2For power switch tube；By Lr
For resonant inductance；CrFor resonant capacitance；LmFor resonant inductance；D1、D2For rectifier diode, CoFor output filter capacitor；RLIt is negative
It carries.Two power switch tube Q1、Q2Half-bridge circuit in series, half-bridge circuit is in parallel with input power, and the output of half-bridge circuit connects
Resonance circuit is connect, resonance circuit is by resonant inductance Lr, resonant capacitance Cr, resonant inductance LmComposition, resonance circuit is again via transformer
It is connected to rectification filtering module and load, wherein resonant inductance LmSubstituted by static exciter inductance, rectification filtering module by
Rectifier diode D1、D2With output filter capacitor CoComposition.Wherein, iLrFor resonance current；vCrFor resonant capacitor voltage；ioIt is defeated
Electric current out；voFor output voltage；Transformer turns ratio is n:1:1.By function description, LLC resonance as shown in Figure 4 has been obtained
The small-signal circuit model of converter.
There are two resonance frequencies in LLC resonant converter:
(1) concatenated resonant inductance LrWith resonant capacitance CrThe frequency of resonance occurs
(2) concatenated resonant inductance Lr, resonant capacitance CrWith resonant inductance LmThe frequency of resonance occurs for parallel connection
Fig. 4 a is fm≤fs< frWhen LLC resonance converter small-signal model, Fig. 4 b be fs≥frWhen LLC resonance turn
The small-signal model of parallel operation.A series of transmitting for being derived by LLC resonant converter are passed through by the small-signal circuit model in Fig. 4
Function analytic expression:
fm≤fs< frWhen LLC resonance converter small-signal model analytic expression such as shown in (3)
Wherein,
DC current gain:Resonant tank quality
Factor:
Quality factor:
Equivalent tank angular frequency
Equivalent inductance:
Switching frequency per unit value:
Inductance coefficent:
Resonance angular frequency: ωr=2 π fr
fs≥frWhen LLC resonance converter small-signal model analytic expression such as shown in (4)
Wherein,
DC current gain:
Equivalent inductance:
Equivalent load:
Resonance slot impedance:
Carrier angular frequencies: Ωs=ωs=2 π fs
Fig. 5 is LLC resonant converter operation interval, by the frequency range for the LLC resonant converter being calculated and completely
It carries and is combined with the DC current gain curve under minimum load situation, so that it may obtain the operation interval of LLC controlled resonant converter.
Fig. 5 a is LLC resonant converter operation interval diagram, and Fig. 5 b, 5c are the local expansion of Fig. 5 a, ordinate in Fig. 5
The DC current gain M of numerical value expression LLC resonant converterdc, abscissa numerical value expression switching frequency fsPer unit value ωn, wherein f2For
Lowermost switch frequency per unit value, f7For highest switching frequency per unit value, f4For resonance frequency per unit value, f4=fr=1.
DC current gain:
Dotted line is the DC current gain curve under minimum load situation in Fig. 5, and solid line is the DC current gain under fully loaded situation
Curve.Known in operation interval by Fig. 5, the switching frequency of LLC resonant converter is higher, and DC current gain is smaller, i.e. load is fixed
In the case where, input voltage more low switching frequency is lower, and input voltage is higher, and switching frequency is higher.A is low pressure (input voltage)
Underloading operating point, B are low pressure heavy duty operating point, E is resonant frequency point, C is high pressure underloading operating point, D is high-pressure heavy-load
Operating point.
Due to using the LLC resonant converter small-signal model and transmission function of segmented, so control system is set
Meter should be also designed respectively for the operation interval of different frequency range.
First against f in Fig. 5 bm≤fs< frBand operation section is designed, by the AE sections of slopes of curve known to Fig. 5 b >
The BE sections of slopes of curve should design controller on the basis of AE sections of curves.Each quantity of state corresponding to operating point A, E is substituted into respectively
In formula (3), so that it may the system open loop transmission function at operating point A, E is respectively obtained, corresponding to the transmission function drawn
Bode diagram, the stability margin by operating point A known to Bode diagram is smaller than operating point E, i.e., the worst operating point is low pressure underloading point.
So as long as the control system of design can guarantee that LLC resonant converter is stablized at the A of operating point, it is ensured that converter is in fm≤
fs< frThe stability in this section of region.For fm≤fs< frWhen operating point A transmission function design compensation device Gc1(s)。
Then for f in Fig. 5 cs≥frBand operation section is designed, DE sections the slope of curve > CE sections known to Fig. 5 c
The slope of curve should design controller on the basis of DE sections of curves.Each quantity of state corresponding to operating point D, E is substituted into formula respectively
(4) in, so that it may the system open loop transmission function at operating point D, E is respectively obtained, corresponding to the transmission function drawn
Bode diagram, the stability margin by operating point D known to Bode diagram is bigger than operating point E, i.e., the worst operating point is low pressure heavy loading point.Institute
As long as can guarantee that LLC resonant converter is stablized at the E of operating point with the control system of design, it is ensured that converter is in fs≥fr
The stability in this section of region.For fs≥frWhen operating point E transmission function design compensation device Gc2(s)。
It in summary only need to be in fm≤fs< frWhen by Gc1(s) G in Fig. 2 is substituted intoc(s), fs≥frWhen by Gc2(s) it substitutes into
G in Fig. 2c(s), the design to LLC resonant converter control system can be realized.
Simulating, verifying:
Based on LLC resonant converter Control System Design method set forth above, built in MATLAB software
Simulink simulation model carries out simulating, verifying.The design parameter of the converter are as follows: DC input voitage vinRange is 140-
280V, nominal input voltage vin(nom)=200V, DC output voltage vo=12V is fully loaded with output power Po=120W, resonance frequency
Rate fr=100kHz, fm=50kHz, transformer turn ratio n=20:2:2, resonant inductance Lr=57.6 μ H, magnetizing inductance Lm=
172.8 μ H, resonant capacitance Cr=44nF, output filter capacitor Co=1000 μ F.
Fig. 6 a is fm≤fs< frWhen input voltage disturb simulation waveform, input voltage is according to 200V--- 170V---
The sequence of 200V---230V jumps, and output voltage is able to maintain stabilization；Fig. 6 b is fm≤fs< frWhen load disturbance emulate wave
Shape figure, output load current are jumped according to the sequence of 10A---1A---10A, and output voltage is able to maintain stabilization；Fig. 6 c is fs≥
frWhen input voltage disturb simulation waveform, input voltage according to 270V---260V---270V---280V sequence jump,
Output voltage is able to maintain stabilization；Fig. 6 d is fs≥frWhen load disturbance simulation waveform, output load current is according to 10A---
The sequence of 1A---10A jumps, and output voltage is able to maintain stabilization.It can be seen that controller shows good move from waveform
Step response and static characteristic, it was demonstrated that the validity of designed control system.
Fig. 7 is that LLC resonant converter input voltage disturbs the experimental waveform figure that influences on output voltage, input voltage from
270V is changed to 140V, output voltage can restore in a short time to stabilization as seen from Figure 7.
Fig. 8 is the experimental waveform figure that influences on output voltage of LLC resonant converter load current increase, and load current is from 3A
It is changed to 8A, output voltage can be restored in a short time to stabilization as seen from Figure 8.
Fig. 9 is that LLC resonant converter load current reduces the experimental waveform figure that influences on output voltage, and load current is from 8A
It is changed to 3A, output voltage can as can be seen from Figure 9 can be restored in a short time to stabilization.
Whereby, it can be seen that from the experimental result in Fig. 7-Fig. 9, by method proposed by the present invention to LLC resonant transformation
After the control system of device is designed, significantly improve its stability.
It includes the complete of modeling, analysis and Control System Design that the present invention, which provides a whole set of for LLC resonant converter,
Theoretical system, comprising: select the mode for simplifying Segment equivalent circuit model to model LLC resonant converter, it will be designed
LLC resonant converter circuit parameter and working region boundary work point state parameter substitute into segmented model corresponding to
In transmission function parsing formula, the stability margin of each boundary work point can be calculated, is worked for two parts above and below resonance frequency
Region chooses the minimum boundary work of wherein stability margin respectively and clicks through line control unit design, so that it may design segmented control
System processed controls LLC resonant converter, this design is so that the stability of LLC resonant converter is greatly enhanced.
The aforementioned description to specific exemplary embodiment of the invention is in order to illustrate and illustration purpose.These descriptions
It is not wishing to limit the invention to disclosed precise forms, and it will be apparent that according to the above instruction, can much be changed
And variation.The purpose of selecting and describing the exemplary embodiment is that explaining specific principle of the invention and its actually answering
With so that those skilled in the art can be realized and utilize a variety of different exemplary implementation schemes of the invention and
Various chooses and changes.The scope of the present invention is intended to be limited by claims and its equivalents.
Claims (5)
1. a kind of segmented Control System Design method of LLC resonant converter characterized by comprising
S1 establishes small-signal model according to the circuit parameter of LLC resonant converter；
The small-signal model of LLC resonant converter is divided into two parts by boundary of resonance frequency, and respectively obtains this two by S2
Corresponding transmission function is divided to parse formula；
S3 obtains the fully loaded DC current gain curve under minimum load situation of LLC resonant converter and combines switching frequency range
The operation interval for obtaining LLC resonant converter, is divided into two parts for operation interval using resonance frequency as boundary；
S4, state variable corresponding to the boundary work point by each operation interval are substituted into segmented transmission function parsing formula, are obtained
The open-loop transfer function of each boundary work point into operation interval obtains each side by the open-loop transfer function of each boundary work point
The open loop stabilization nargin of boundary operating point；
S5 is compared the stability margin of each boundary point in two parts operation interval, obtains in two parts operation interval respectively
The worst corresponding compensator of boundary work point design of open loop stabilization nargin.
2. the segmented Control System Design method of LLC resonant converter according to claim 1, which is characterized in that institute
Stating LLC resonant converter includes half-bridge circuit, transformer and rectification filtering module, two power switch tube Q1、Q2In series half
Bridge circuit, half-bridge circuit is in parallel with input power, and the output of half-bridge circuit connects resonance circuit, and resonance circuit is by resonant inductance
Lr, resonant capacitance Cr, resonant inductance LmComposition, resonance circuit are connected to rectification filtering module and load R via transformer againL,
Wherein, rectification filtering module is by rectifier diode D1、D2With output filter capacitor CoComposition.
3. the segmented Control System Design method of LLC resonant converter according to claim 2, which is characterized in that LLC
Controlled resonant converter operation interval is with resonance frequency frIt is divided into two parts for boundary, there are two resonance in LLC resonant converter
Frequency:
First, resonant inductance LrWith resonant capacitance CrResonance frequency f when resonance occursr
Second, resonant inductance Lr, resonant capacitance CrWith resonant inductance LmResonance frequency f when resonance occursm
4. the segmented Control System Design method of LLC resonant converter according to claim 3, which is characterized in that set
Power switch Q1、Q2Switching frequency be fs, work as fm≤fs< frWhen LLC resonance converter transmission function parse formula such as (3)
It is shown:
In formula (3), QpFor quality factor, ωpFor equivalent tank angular frequency, GDCFor DC current gain；
Work as fs≥frWhen LLC resonance converter transmission function parsing formula such as shown in (4)
5. the segmented Control System Design method of LLC resonant converter according to claim 4, which is characterized in that use
Corresponding transmission function is compensated to realize LLC resonance at the boundary work point that designed compensator filters out each frequency range
The stability of converter is adjusted.
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| CN111310398A (en) * | 2020-01-23 | 2020-06-19 | 北京交通大学 | LLC resonant converter closed loop stability analysis method |
| CN111555627A (en) * | 2020-05-09 | 2020-08-18 | 哈尔滨工业大学 | Control method of high-order LCLCLCL direct current converter |
| CN111817574A (en) * | 2020-08-06 | 2020-10-23 | 云南电网有限责任公司电力科学研究院 | Method, system and storage medium for LCC resonant converter parameter design |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN111310398A (en) * | 2020-01-23 | 2020-06-19 | 北京交通大学 | LLC resonant converter closed loop stability analysis method |
| CN111555627A (en) * | 2020-05-09 | 2020-08-18 | 哈尔滨工业大学 | Control method of high-order LCLCLCL direct current converter |
| CN111555627B (en) * | 2020-05-09 | 2022-09-06 | 哈尔滨工业大学 | Control method of high-order LCLCL direct current converter |
| CN111817574A (en) * | 2020-08-06 | 2020-10-23 | 云南电网有限责任公司电力科学研究院 | Method, system and storage medium for LCC resonant converter parameter design |
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