CN109149942A - A kind of multi-frequency section control method for harmonic high frequency vibration shape commutator transformer - Google Patents

A kind of multi-frequency section control method for harmonic high frequency vibration shape commutator transformer Download PDF

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Publication number
CN109149942A
CN109149942A CN201810885435.7A CN201810885435A CN109149942A CN 109149942 A CN109149942 A CN 109149942A CN 201810885435 A CN201810885435 A CN 201810885435A CN 109149942 A CN109149942 A CN 109149942A
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formula
frequency
power
vibration shape
high frequency
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CN109149942B (en
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黄晶晶
张鑫
刘欣琳
孙元岗
同向前
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Shaanxi Wanlu Power Technology Co ltd
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Xian University of Technology
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M3/00Conversion of dc power input into dc power output
    • H02M3/22Conversion of dc power input into dc power output with intermediate conversion into ac
    • H02M3/24Conversion of dc power input into dc power output with intermediate conversion into ac by static converters
    • H02M3/28Conversion 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
    • H02M3/325Conversion 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
    • H02M3/335Conversion 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
    • H02M3/33569Conversion 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
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M7/00Conversion of ac power input into dc power output; Conversion of dc power input into ac power output
    • H02M7/42Conversion of dc power input into ac power output without possibility of reversal
    • H02M7/44Conversion of dc power input into ac power output without possibility of reversal by static converters
    • H02M7/48Conversion 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
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M7/00Conversion of ac power input into dc power output; Conversion of dc power input into ac power output
    • H02M7/42Conversion of dc power input into ac power output without possibility of reversal
    • H02M7/44Conversion of dc power input into ac power output without possibility of reversal by static converters
    • H02M7/48Conversion 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
    • H02M7/4815Resonant converters
    • YGENERAL 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
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02BCLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO BUILDINGS, e.g. HOUSING, HOUSE APPLIANCES OR RELATED END-USER APPLICATIONS
    • Y02B70/00Technologies for an efficient end-user side electric power management and consumption
    • Y02B70/10Technologies 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 invention discloses a kind of multi-frequency section control methods for harmonic high frequency vibration shape commutator transformer, are specifically implemented according to the following steps: step 1, the resonant inductance L for analyzing circuit and calculating harmonic high frequency vibration shape commutator transformerr1,Lr2, magnetizing inductance Lm1,Lm2And resonant capacitance Cr1,Cr2Value;Step 2 analyzes circuit topology, establishes its equivalent model, calculates quality factor when transmission;Step 3 analyzes circuit topology equivalent model, to reduce reactive loss, maintenance DC voltage gain as target, calculates the corresponding resonance frequency omega of different capacityr;Step 4, acquisition k moment load current Ik, bearing power P this moment is calculated according to load currentk, step 5, computational load power PkWith rated power PRRatioAccording toValue designs different transimission power lower switch frequencies omegassSwitch list, CLLC-RDCT can be made to run on open loop mode of operation by this method, be effectively simplified control system.

Description

A kind of multi-frequency section control method for harmonic high frequency vibration shape commutator transformer
Technical field
The invention belongs to power distribution control method technical fields, and in particular to a kind of for harmonic high frequency vibration shape commutator transformer Multi-frequency section control method.
Background technique
In power grid, power transformer is most basic and important power transmission and transforming equipment, mainly realizes the lifting of voltage and is The function of system isolation.It is undeniable to be, although permeability magnetic material and in terms of, traditional power transformer has one The improvement of series, and transformation of electrical energy efficiency is made to be greatly improved, but traditional power transformer basic function and structure Principle changing therewith, i.e., still realized using conductive coil between the change of rank and system of alternating voltage every From.Therefore, traditional transformer there are the shortcomings that do not eliminate yet, as no-load loss is larger;Volume and weight increases with voltage class; Transformer oil causes environmental pollution;Distortion current can be generated when connecing nonlinear-load, cause power supply quality decline etc..
As smart grid develops, traditional transformer is not able to satisfy the demand of power grid gradually.Due to power electronic technique with The rapid development of device for high-power power electronic realizes the novel of voltage transformation and energy transmission by Technics of Power Electronic Conversion technology Transformer-commutator transformer (DCT) has obtained more and more concerns.With Virginia, US power electronics center Fred Scholar headed by C.Lee systematically proposes the concept of DCT.DCT passes through the voltage magnitude and phase to its primary side and secondary side Position carries out real-time control, achievees the purpose that not only complete traditional change to power system voltage, electric current and power flexible modulation The transfer function of depressor, and the stability of system and the flexibility of power transmission mode are also improved, without transformer oil and additionally Protective device, not can cause environmental pollution.
It is broadly divided into anharmonic vibration shape commutator transformer in existing high-frequency direct-current transformer device structure and resonance type DC becomes Two kinds of depressor (Resonant DC Transformer, RDCT).Anharmonic vibration shape commutator transformer mainly controls transformer leakage inductance The phase of both ends square-wave voltage transmits the size and Orientation of energy, the full-bridge circuit topological structure of input side and outlet side to control It can realize that under certain condition no-voltage is open-minded, but its inductive current is in triangular wave either trapezoidal wavy, transformer whirlpool Stream loss is larger, and switching tube cut-off current is big, and electromagnetic interference is also larger.The soft switch circuit analysis and design that it is introduced are more multiple It is miscellaneous, often need to introduce efficiency of transmission of the closed-loop control to improve system, cooperation adjunct circuit realizes Sofe Switch.Work as switching frequency When increasing to a certain extent, this mode has undoubtedly aggravated the burden of processor, increases cost and relatively difficult to achieve.RDCT passes through Resonant network is introduced on transformer primary pair side, current waveform reduces the eddy-current loss of high frequency transformer close to sine wave. RDCT has Natural Soft-Switching characteristic, can realize that no-voltage opens (zero in wider input voltage and full-load range Voltage switching, ZVS) and zero-current switching (zero current switching, ZCS).The control mode of RDCT Frequency control and phase shifting control can be divided into.Frequency control generallys use the mode of two close cycles, and outer voltage controls duty ratio and realizes Pressure stabilizing output, current loop control carrier frequency realizes the adjusting of converter switches frequency, and then improves the efficiency of transmission of transformer; Phase shifting control changes adjusting of the realization of the voltage on inductance to transimission power and direction by control phase shifting angle.Although Efficiency can be improved by close-loop control mode in RDCT, adjusts output voltage and transimission power, but alternating current-direct current mixing micro-capacitance sensor, In the applications such as charging pile and direct-flow distribution system, the mode for introducing closed-loop control undoubtedly increases the pipe of energy management system It manages difficulty and management cost, economy is poor.
Since RDCT has Natural Soft-Switching characteristic, the just efficiency with higher under opened loop control.In order to reduce control The RDCT of the burden of system, open loop approach operation is more universal.RDCT can be divided into LC type, LLC type, CLLC according to its resonant network Type.Since CLLC resonance type DC transformer (CLLC-RDCT) has symmetrical topological structure, power bi-directional biography has been effectively ensured Voltage gain when defeated is symmetrical, therefore CLLC-RDCT is widely used.Document (Jingjing Huang, Xin Zhang,et al.,"Robust Circuit Parameters Design for the CLLC-Type DC Transformer in the Hybrid AC/DC Microgrid,"in IEEE Transactions on Industrial Electronics a kind of circuit parameter design method) is proposed, makes CLLC-RDCT work near resonance frequency, makes its holding Stable transmission gain.But when CLLC-RDCT transmits different capacity, resonance frequency will be converted, therefore cause non- Larger, the lower problem of efficiency is lost under rated power operation.
In conclusion commutator transformer is being widely studied and is promoting due to the inherent defect of conventional AC transformer It uses.Wherein, CLLC harmonic high frequency vibration shape commutator transformer (CLLC-RDCT) due to its high power density, high efficiency, it is small in size and Have the advantages that transmitted in both directions, become the hot fields of domestic and foreign scholars' research, while also just in direct-flow distribution system, charging It is gradually promoted the use of in stake.But since its closed-loop control will increase the complexity of energy routing manager, it is negative to increase control system Load.Therefore under the premise of retaining CLLC-RDCT opened loop control, its efficiency of transmission in different loads, You Yiru how are improved What, which reduces its loss problem in zero load, becomes most important.
Summary of the invention
The object of the present invention is to provide a kind of multi-frequency section controls for being used for harmonic high frequency vibration shape commutator transformer (CLLC-RDCT) Method processed, makes CLLC-RDCT run on open loop mode of operation, and control is reduced while stablizing transmission gain and eliminating reactive loss The complexity of system processed.
The technical scheme adopted by the invention is that a kind of multi-frequency section controlling party for harmonic high frequency vibration shape commutator transformer Method is specifically implemented according to the following steps:
Step 1, the resonant inductance L for calculating harmonic high frequency vibration shape commutator transformerr1、Lr2, magnetizing inductance Lm1、Lm2And resonance Capacitor Cr1、Cr2Value;
Step 2 establishes harmonic high frequency vibration shape DC Transformer circuit equivalent model, calculates quality factor when power transmission;
Step 3, to eliminate reactive loss, maintenance DC voltage gain is target, calculates the resonance frequency under different capacity ωr
Step 4, acquisition k moment load current Ik, bearing power P this moment is calculated according to load currentk
Step 5 defines bearing power PkWith rated power PRRatioAccording toValue design switching frequency ωs Switch list.
The features of the present invention also characterized in that:
In step 1, calculation formula is as follows:
Lm1=Tstdead/8Cs (1)
Lm2=n2Lm1 (2)
Lr1=Lm1/k (3)
Lr2=n2Lr1 (4)
Cr1=1/ ωs 2Lr1 (5)
Cr2=n2Cr1 (6)
In formula, TsFor switch periods, tdeadFor dead time, CsFor paralleled power switches capacitance, n is transformer voltage ratio, k For coefficient and k > 20.
In step 2 when power is transmitted to secondary side by primary side, quality factor q1Calculate such as following formula:
In formula, Req2For the load under rated power, it is as follows that load calculation formula is obtained according to the equivalent model of circuit:
In formula, V2For the DC voltage of secondary side input terminal, PRFor the rated power of system;
It brings formula (8) into formula (7), can obtain
When power is transmitted to primary side by secondary side, quality factor q2Such as following formula:
In formula, Req1For the load under rated power, it is as follows that load calculation formula is obtained according to the equivalent model of circuit:
Req1=vin1/i1|p2→1=8V1 2/(π2PR) (11)
In formula, V1For the DC voltage of primary side input terminal;
It brings formula (11) into formula (10), can obtain
By formula (9) and formula (12) available quality factor q1、Q2With PRIt is directly proportional.
Step 3 is specifically implemented according to the following steps:
Step 3.1, the equivalent impedance for calculating harmonic high frequency vibration shape commutator transformer
When power is transmitted to secondary side by primary side, according to Dai Weinan equivalent theorem, harmonic high frequency vibration shape commutator transformer Equivalent resistance ReqWith reactance XeqCalculation formula is as follows:
Wherein, ωsTo switch angular frequency,
σ1=(1+k) (1+2k) (17)
Step 3.2 calculates resonance frequency omega as target to eliminate reactive lossr
To eliminate reactive loss, equivalent reactance XeqIt should be zero, i.e.,
As switching frequency ωsWith resonance frequency omegarWhen equal, formula (20) is set up, so seeking formula (20) according to golden formula is contained Solution, define following formula:
B=σ2σ3+9σ1 (22)
Δ=B2- 4AC (24)
It can derive that formula (20) solution is as follows according to formula (21)~(24):
If Δ=B2- 4AC < 0, then resonance frequency omegarFor
Wherein
θ=arccosT, -1 < T < 1, and
If Δ=B2- 4AC=0, then resonance frequency omegarFor
Wherein
If A=B=C=0, resonance frequency omegarFor
Wherein
If Δ=B2- 4AC > 0, then resonance frequency omegarFor
Wherein
According to formula (25)~(35), as the different Q of substitution1Value obtains corresponding optimum resonant frequency ωr
P in step 4kCalculation formula it is as follows:
Pk=V2×IL (36)
Switching frequency ω in step 5sSwitch list be specifically related to foundation are as follows:
WhenWhen, switching frequency is
WhenWhen, switching frequency is
WhenWhen, switching frequency is
WhenWhen, switching frequency is
WhenWhen, switching frequency is
The beneficial effects of the present invention are:
1), by adjusting the working frequency of CLLC-RDCT, make its work near resonance frequency, reduce idle bring Transmission loss improves operational efficiency;
2), the thought of Discrete control is applied in CLLC-RDCT, guarantees it under opened loop control, when load becomes Stable transmission gain can be still kept when change;
3) control for, greatlying simplify system guarantees DC current gain relatively stable under different transimission powers.
Detailed description of the invention
Fig. 1 is CLLC-RDCT in a kind of multi-frequency section control method for harmonic high frequency vibration shape commutator transformer of the present invention Circuit structure diagram;
Fig. 2 a be in a kind of multi-frequency section control method for harmonic high frequency vibration shape commutator transformer of the present invention power by one Secondary side is transmitted to the equivalent model of secondary side constantly;
Fig. 2 b be in a kind of multi-frequency section control method for harmonic high frequency vibration shape commutator transformer of the present invention power by two Secondary side is transmitted to equivalent model when primary side;
Fig. 3 is that a kind of multi-frequency section control method resonance frequency for harmonic high frequency vibration shape commutator transformer of the present invention designs Flow chart;
Fig. 4 is switch list selection in a kind of multi-frequency section control method for harmonic high frequency vibration shape commutator transformer of the present invention Flow chart.
Specific embodiment
The following describes the present invention in detail with reference to the accompanying drawings and specific embodiments.
The circuit that the present invention uses is as shown in Figure 1, include main circuit and control circuit.It is DC bus 1 in main circuit, straight Stream bus 2 connects control the full-bridge circuit input terminal that power electronic devices is constituted entirely respectively, and the full-bridge circuit of primary side and secondary side is logical CLLC-RDCT is crossed to be connected together;CLLC-RDCT control circuit includes AD over-sampling modulate circuit and master cpu;AD sampling conditioning electricity Road use current Hall sensor HAX25, current sensor rated output voltage be ± 5V, AD over-sampling modulate circuit by electric current suddenly The information of voltage that your sensor transmissions come is sent into master cpu, and control circuit includes master cpu TMS320F28335 and periphery Conditioning circuit, master cpu select corresponding switching frequency to generate pwm pulse signal, pass through driving according to the information of voltage of input Circuit connects the controlled end of corresponding full control power electronic devices MOSFET in rectifier.AD over-sampling modulate circuit is by ratio circuit, anti- Circuitry phase and Anti-aliasing Filter Circuits, biasing circuit, limiter protection circuit composition, will be through current Hall with AD over-sampling modulate circuit The signal condition that mutual inductor is sent is at master cpu acceptable signal.Master cpu uses chip TMS320F28335, The information of voltage brought according to AD sample circuit selects corresponding switching frequency and utilizes arteries and veins specific to TMS320F28335 Modulated module generates pwm pulse, which is changed into after driving circuit driving can directly trigger power electronics and control entirely The pwm signal of device MOSFET.
A kind of multi-resonant frequency band comprehensively control block diagram suitable for harmonic high frequency vibration shape commutator transformer of the present invention is shown in Fig. 1, It is specifically implemented according to the following steps:
Step 1, the resonant inductance L for calculating harmonic high frequency vibration shape commutator transformerr1,Lr2, magnetizing inductance Lm1,Lm2And resonance Capacitor Cr1,Cr2Value, calculation formula is as follows:
Lm1=Tstdead/8Cs (1)
Lm2=n2Lm1 (2)
Lr1=Lm1/k (3)
Lr2=n2Lr1 (4)
Cr1=1/ ωs 2Lr1 (5)
Cr2=n2Cr1 (6)
In formula, TsFor switch periods, tdeadFor dead time, CsFor paralleled power switches capacitance, n is transformer voltage ratio, k K > 20 should be taken for coefficient in order to make CLLC-RDCT still maintain stable transmission gain under open loop situations.
In step 2 when power is transmitted to secondary side by primary side, when Fig. 2 a is that power is transmitted to secondary side by primary side When equivalent model, quality factor q1Calculate such as following formula:
In formula, Req2For the load under rated power, it is as follows that load calculation formula is obtained according to the equivalent model of circuit:
In formula, V2For the DC voltage of secondary side input terminal, PRFor the rated power of system;
It brings formula (8) into formula (7), can obtain
Fig. 2 b is equivalent model when power is transmitted to primary side by secondary side, when power is transmitted to primary side by secondary side When, quality factor q2Such as following formula:
In formula, Req1For the load under rated power, it is as follows that load calculation formula is obtained according to the equivalent model of circuit:
Req1=vin1/i1|p2→1=8V1 2/(π2PR) (11)
In formula, V1For the DC voltage of primary side input terminal;
It brings formula (11) into formula (10), can obtain
When load changes, the quality factor q of CLLC-RDCT will affect1(Q2).It can be obtained by formula (9) and formula (12) To quality factor q1, Q2With PRIt is directly proportional, therefore it is as shown in table 1 below to obtain corresponding quality factor under different capacity:
1 power of table and quality factor relation table
Step 3, to eliminate reactive loss, stable DC voltage gain is target, calculates the resonance frequency under different capacity ωr, Fig. 3 is that resonance frequency calculates flow chart;
Step 3.1, the equivalent impedance for calculating harmonic high frequency vibration shape commutator transformer
When power is transmitted to secondary side by primary side, according to Dai Weinan equivalent theorem, harmonic high frequency vibration shape commutator transformer Equivalent resistance ReqWith reactance XeqCalculation formula is as follows:
Wherein ωsTo switch angular frequency,
σ1=(1+k) (1+2k) (17)
Step 3.2 calculates resonance frequency as target to eliminate reactive loss;
When system switching frequency is equal to resonance frequency, the reactive loss of system is minimum, at this time equivalent reactance XeqShould be Zero, i.e.,
As switching frequency ωsWith resonance frequency omegarWhen equal, formula (20) is set up.So seeking formula (20) according to golden formula is contained Solution, define following formula:
B=σ2σ3+9σ1 (22)
Δ=B2- 4AC (24)
It can derive that formula (20) solution is as follows according to formula (21)~(24):
If Δ=B2- 4AC < 0, then resonance frequency omegarFor
Wherein
θ=arccosT, -1 < T < 1, and
If Δ=B2- 4AC=0, then resonance frequency omegarFor
Wherein
If A=B=C=0, resonance frequency omegarFor
Wherein
If Δ=B2- 4AC > 0, then resonance frequency omegarFor
Wherein
Step 3.3, according to formula (25)~(35), when substituting into different Q1Corresponding resonance frequency omega can be obtained in valuer, as a result, Corresponding resonance resonant frequency value under different quality factor can be summed up to be as follows:
2 quality factor of table and resonance frequency relation table
Step 4, acquisition k moment load current Ik, bearing power P this moment is calculated according to load currentk, PkCalculating Formula is as follows:
Pk=V2×IL (36)
Step 5 defines bearing power PkWith rated power PRRatio beAccording toValue design switching frequency ωsSwitch list, Fig. 4 is switching frequency selection flow chart, specific design and foundation are as follows:
WhenWhen, switching frequency is
WhenWhen, switching frequency is
WhenWhen, switching frequency is
WhenWhen, switching frequency is
WhenWhen, switching frequency is
It is as shown in table 3 that switch list can be obtained after summary:
3 switch list of table
By the above-mentioned means, since the thought of Discrete control is applied in CLLC-RDCT by the present invention, when transimission power is sent out According to the load current value of real-time detection and designed switch list regulating switch frequency when changing, opening CLLC-RDCT Still there is stable transmission gain under ring control.Control mode of the present invention is simple and is easily achieved, lower to sampling request, is not necessarily to Controller is designed, when transimission power variation, stable voltage gain can be maintained on the basis of eliminating reactive loss, greatly Ground alleviates the burden of control system.

Claims (6)

1. a kind of multi-frequency section control method for harmonic high frequency vibration shape commutator transformer, which is characterized in that specifically according to following Step is implemented:
Step 1, the resonant inductance L for calculating harmonic high frequency vibration shape commutator transformerr1、Lr2, magnetizing inductance Lm1、Lm2And resonant capacitance Cr1、Cr2Value;
Step 2 establishes harmonic high frequency vibration shape DC Transformer circuit equivalent model, calculates quality factor when power transmission;
Step 3, to eliminate reactive loss, maintenance DC voltage gain is target, calculates the resonance frequency omega under different capacityr
Step 4, acquisition k moment load current Ik, bearing power P this moment is calculated according to load currentk
Step 5 defines bearing power PkWith rated power PRRatio beAccording toValue design switching frequency ωs's Switch list.
2. a kind of multi-frequency section control method for harmonic high frequency vibration shape commutator transformer according to claim 1, special Sign is that in the step 1, calculation formula is as follows:
Lm1=Tstdead/8Cs (1)
Lm2=n2Lm1 (2)
Lr1=Lm1/k (3)
Lr2=n2Lr1 (4)
Cr1=1/ ωs 2Lr1 (5)
Cr2=n2Cr1 (6)
In formula, TsFor switch periods, tdeadFor dead time, CsFor paralleled power switches capacitance, n is transformer voltage ratio, and k is to be Number k > 20.
3. a kind of multi-frequency section control method for harmonic high frequency vibration shape commutator transformer according to claim 1, special Sign is, in the step 2 when power is transmitted to secondary side by primary side, quality factor q1Calculate such as following formula:
In formula, Req2For the load under rated power, it is as follows that load calculation formula is obtained according to the equivalent model of circuit:
In formula, V2For the DC voltage of secondary side input terminal, PRFor the rated power of system;
It brings formula (8) into formula (7), can obtain
When power is transmitted to primary side by secondary side, quality factor q2Such as following formula:
In formula, Req1For the load under rated power, it is as follows that load calculation formula is obtained according to the equivalent model of circuit:
In formula, V1For the DC voltage of primary side input terminal;
It brings formula (11) into formula (10), can obtain
By formula (9) and formula (12) available quality factor q1、Q2With PRIt is directly proportional.
4. a kind of multi-frequency section control method for harmonic high frequency vibration shape commutator transformer according to claim 1, special Sign is that the step 3 is specifically implemented according to the following steps:
Step 3.1, the equivalent impedance for calculating harmonic high frequency vibration shape commutator transformer
When power is transmitted to secondary side by primary side, according to Dai Weinan equivalent theorem, harmonic high frequency vibration shape commutator transformer etc. Imitate resistance ReqWith reactance XeqCalculation formula is as follows:
Wherein, ωsTo switch angular frequency,
σ1=(1+k) (1+2k) (17)
Step 3.2 calculates resonance frequency omega as target to eliminate reactive lossr
To eliminate reactive loss, equivalent reactance XeqIt should be zero, i.e.,
As switching frequency ωsWith resonance frequency omegarWhen equal, formula (20) is set up, so seeking formula (20) according to golden formula is contained Solution defines following formula:
B=σ2σ3+9σ1 (22)
Δ=B2- 4AC (24)
It can derive that formula (20) solution is as follows according to formula (21)~(24):
If Δ=B2- 4AC < 0, then resonance frequency omegarFor
Wherein
If Δ=B2- 4AC=0, then resonance frequency omegarFor
Wherein
If A=B=C=0, resonance frequency omegarFor
Wherein
If Δ=B2- 4AC > 0, then resonance frequency omegarFor
Wherein
According to formula (25)~(35), as the different Q of substitution1Value obtains corresponding optimum resonant frequency ωr
5. a kind of multi-frequency section control method for harmonic high frequency vibration shape commutator transformer according to claim 1, special Sign is, P in the step 4kCalculation formula it is as follows:
Pk=V2×IL (36)。
6. a kind of multi-frequency section control method for harmonic high frequency vibration shape commutator transformer according to claim 1, special Sign is, switching frequency ω in the step 5sSwitch list be specifically related to foundation are as follows:
WhenWhen, switching frequency is
WhenWhen, switching frequency is
WhenWhen, switching frequency is
WhenWhen, switching frequency is
WhenWhen, switching frequency is
CN201810885435.7A 2018-08-06 2018-08-06 Multi-frequency-band control method for high-frequency resonant DC transformer Active CN109149942B (en)

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CN109697335A (en) * 2019-01-17 2019-04-30 广东电网有限责任公司 For transformer from leakage inductance calculation method, device, equipment and storage medium
CN110086352A (en) * 2019-06-10 2019-08-02 哈尔滨工业大学(深圳) A kind of resonance reversible transducer suitable for wide output area
CN110890759A (en) * 2019-11-28 2020-03-17 湖南大学 Low-frequency oscillation modeling system and analysis method for vehicle network coupling system
CN111181411A (en) * 2020-03-10 2020-05-19 上海科技大学 Variable/fixed bus voltage ultra-wide gain range bidirectional dc/dc converter
CN111509987A (en) * 2020-02-29 2020-08-07 青岛能蜂电气有限公司 Resonant converter, parameter optimization method and device thereof, and electronic equipment
CN111726009A (en) * 2020-07-07 2020-09-29 科华恒盛股份有限公司 LLC circuit DC gain control method and device

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