CN111934576B - Auxiliary resonance converter pole inverter with phase-correlated magnetizing current symmetric reset - Google Patents

Auxiliary resonance converter pole inverter with phase-correlated magnetizing current symmetric reset Download PDF

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CN111934576B
CN111934576B CN202010301490.4A CN202010301490A CN111934576B CN 111934576 B CN111934576 B CN 111934576B CN 202010301490 A CN202010301490 A CN 202010301490A CN 111934576 B CN111934576 B CN 111934576B
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current
time
turn
auxiliary
mode
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CN111934576A (en
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禹健
安永泉
马宇辉
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Shanxi University
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Shanxi University
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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
    • H02M7/00—Conversion of ac power input into dc power output; Conversion of dc power input into ac power output
    • H02M7/42—Conversion of dc power input into ac power output without possibility of reversal
    • H02M7/44—Conversion of dc power input into ac power output without possibility of reversal by static converters
    • H02M7/48—Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
    • H02M7/53—Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal
    • H02M7/537—Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters
    • H02M7/5387—Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters in a bridge configuration
    • 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
    • H02M3/33576—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 having at least one active switching element at the secondary side of an isolation transformer
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02M—APPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
    • H02M1/00—Details of apparatus for conversion
    • H02M1/0048—Circuits or arrangements for reducing losses
    • H02M1/0054—Transistor switching losses
    • H02M1/0058—Transistor switching losses by employing soft switching techniques, i.e. commutation of transistors when applied voltage is zero or when current flow is zero
    • 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

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Inverter Devices (AREA)
  • Dc-Dc Converters (AREA)

Abstract

The invention discloses an auxiliary resonance converter pole inverter with symmetrically reset phase-correlated magnetizing currentThe technology realizes the advantage of zero voltage switching-on of a main switching tube, reduces the switching loss of a main switch, and in addition, an auxiliary switch in an auxiliary loop also realizes the zero voltage switching-on through energy storage in an excitation inductor and has a voltage withstanding value far smaller than that of the main switch; the magnetizing current reset is reliably realized in each switching period, and the volume of the transformer is effectively reduced; the secondary winding of the transformer is coupled to solve the problem of an auxiliary converter diode DN1And DN2The problem of overpressure.

Description

Auxiliary resonance converter pole inverter with phase-correlated magnetizing current symmetric reset
Technical Field
The invention relates to the technical field of power electronic conversion, in particular to an auxiliary resonance converter pole inverter with symmetrically reset phase-correlated magnetizing current.
Background
A voltage source inverter, which is essentially a synchronous rectification buck-boost converter composed of a fully-controlled switch half-bridge, is widely used in various power class applications, such as: the system comprises a motor driver, an active power filter, an uninterruptible power supply, a photovoltaic power system, a fuel cell power system, a distributed power grid and the like. The research core is to improve the efficiency and the power density.
Under hard switching conditions, power density is typically increased by reducing the size and weight of passive components (e.g., filter inductors and capacitors) by increasing the switching frequency, but increasing the switching frequency results in increased switching losses and high frequency electromagnetic interference, which in turn reduces the efficiency of the inverter. The circuit is an inverter half-bridge and an inductor connected to the midpoint of the half-bridge; during hard switching, after the freewheeling mode, the energy stored in the anti-parallel diode and the output capacitor at the switching-on moment of the switching tube to be switched on is released into the channel of the switching tube, so that peak current, switching-on loss and high-frequency electromagnetic interference are generated. One way to overcome the above problems is to advance the switching device technology and the other is to use soft switching topology technology.
Wide bandgap semiconductors such as SiC and GaN have faster turn-on and turn-off times, lower turn-off losses and lower parasitic capacitance than conventional Si power semiconductors; but faster switching times result in greater high frequency electromagnetic interference. In addition, SiC has the problems of harsh grid opening and closing conditions, high cost and the like.
Soft switching topologies can reduce switching losses and EMI at high switching frequencies. Soft switching topologies are methods to reduce switching losses by adding auxiliary circuits to decouple the transition edges of the current and voltage of the switching tubes. Among many soft switching inverter topologies, the auxiliary resonant very soft switching inverter is generally accepted because the voltage and current stresses of the switching tubes in the main circuit are not additionally increased, and the auxiliary circuit only works when the switching tubes are commutated without affecting the normal operation of the main circuit.
In the prior art, see the article "An Improved Zero-Voltage Switching Inverter Using Two Coupled Magnetics in One resistor pol" published in the 25 th volume of 2010 of IEEE Transactions on Power Electronics journal, the double-Coupled inductor circuit can realize Zero-Voltage Switching on of a main switch and Zero-current Switching on of An auxiliary switch, and solve the problem that An excitation current cannot be reset. The converter diode has no clamping measure, and after the resonant current is reduced to 0, the two ends of the converter diode can bear direct-current bus voltage which is about 2 times of the voltage, and potential oscillation of the undamped end of the diode can be caused; in the prior art, the New polarity of the line phase soft switching using a dual magnetizing circuit of IEEE 201315 th European Conference on Power Electronics and Applications (EPE) can realize that the main switch zero voltage is switched on and the auxiliary switch zero current switch resets the magnetizing current by disconnecting the free flow path of the exciting current. But the diodes connected in series on the high current loop will add extra losses. In the two methods, one coupling inductor can only realize zero voltage switching-on of one main switching tube, so that two coupling inductors are required to be used in one auxiliary circuit, and the size, the cost and the leakage inductance loss of the transformer are increased.
Disclosure of Invention
In order to solve the defects of the prior art, the auxiliary resonance converter pole inverter with the phase-associated magnetizing current symmetrically reset is provided, and zero voltage switching-on of a main switch and an auxiliary switch is realized; the efficiency and the power density are effectively improved, and the cost and the EMI are reduced.
The invention provides an auxiliary resonant converter pole inverter with phase-related magnetizing current symmetrical reset, which comprises a first main switch tube S1A second main switch tube S2The first commutation diodePipe Dc1A second commutation diode Dc2A first freewheeling diode Dx1A second freewheeling diode Dx2DC power supply VDCAuxiliary power supply VAUXLoad, first voltage-dividing capacitor Cd1And a second voltage dividing capacitor Cd2Resonant inductor Lr1Resonant inductor Lr2Auxiliary converter transformer primary winding T1Auxiliary converter transformer secondary side first winding T2Auxiliary secondary side second winding T of auxiliary converter transformer3A first auxiliary switch tube Sa1A second auxiliary switch tube Sa2The third auxiliary switch tube Sa3The fourth auxiliary switch tube Sa4Leading bridge arm AC-Lead, lagging bridge arm AC-Lag and exciting inductor Lm. The first main switch tube S1Source electrode and second main switch tube S2The drain electrode of the switch tube is connected with a point O, and the two switch tubes form a main switch bridge arm; first main switch tube S1Drain electrode of (1), first conversion diode Dc1Negative electrode of (1), second freewheeling diode Dx2Negative electrode of and DC power supply VDCThe positive electrodes are connected; DC power supply VDCNegative pole and second main switch tube S2Source electrode of, second conversion diode Dc2Anode of (2), first freewheeling diode Dx1The positive electrodes of the two electrodes are connected; one end of the Load is connected with the point O of the middle point of the bridge arm of the main switch, and the other end is connected with the first voltage-dividing capacitor Cd1And a second voltage dividing capacitor Cd2Are connected with each other; resonant inductor Lr1One end of the auxiliary converter transformer is connected with the midpoint O of the main switch bridge arm, and the other end of the auxiliary converter transformer is connected with the auxiliary side first winding T of the auxiliary converter transformer2The different name ends are connected; auxiliary side first winding T of auxiliary converter transformer2And a first commutation diode Dc1Anode of (2), first freewheeling diode Dx1The negative electrodes are connected; resonant inductor Lr2One end of the auxiliary converter transformer is connected with the midpoint O of the main switch bridge arm, and the other end of the auxiliary converter transformer is connected with the secondary side second winding T of the auxiliary converter transformer3The same name end of the terminal is connected; secondary secondary winding T of auxiliary converter transformer3And a second commutation diode Dc2Negative electrode of (1), second freewheeling diode Dx2The positive electrodes of the two electrodes are connected; first auxiliary switchPipe Sa1Source electrode of and second auxiliary switch tube Sa2The drain electrode of the converter auxiliary circuit is connected with a point Q, and the two switching tubes form an advanced bridge arm AC-Lead of the converter auxiliary circuit; third auxiliary switch tube Sa3Source electrode of and fourth auxiliary switch tube Sa4The drain electrode of the converter auxiliary circuit is connected with the R point, and the two switching tubes form a hysteresis bridge arm AC-Lag of the converter auxiliary circuit; first auxiliary switch tube Sa1Drain electrode of the first auxiliary switch tube Sa3Drain electrode of and auxiliary power supply VAUXIs connected with an auxiliary power supply VAUXAnd a second auxiliary switch tube Sa2Source electrode of, fourth auxiliary switch tube Sa4The source electrodes of the two-way transistor are connected; primary winding T of auxiliary converter transformer1The homonymous end of the leading auxiliary switch bridge arm is connected with a midpoint Q point of the leading auxiliary switch bridge arm, and the heteronymous end of the leading auxiliary switch bridge arm is connected with a midpoint R point of the lagging auxiliary switch bridge arm; excitation inductance LmIs connected in parallel with the primary winding T of the auxiliary converter transformer1Two ends; auxiliary side first winding T of auxiliary converter transformer2And a second winding T3Has the same number of turns, and assists the primary winding T of the converter transformer1Number of turns and T2Or T3The turn ratio of (D) is 1/n, and the first freewheeling diode Dx1And a second freewheeling diode Dx2Has the effect of being at the first commutation diode Dc1And a second commutation diode Dc2Providing follow current paths for reverse current in reverse recovery process, wherein the follow current paths are respectively T2→Lr1→S2→DX1→T2And T3→DX2→S1→Lr2→T3。。
As a further improvement of the above scheme, when the load current is positive, the operation mode and the switching time interval are as follows:
main switch tube S1-S2The body parasitic capacitance and the external parallel absorption capacitance C1-C2The values are the same, and then C is used in the formulam_ossIs represented by Cm_oss＝C1＝C2Auxiliary switch tube Sa1-Sa4The body parasitic capacitance and the external parallel absorption capacitance Ca1-Ca4The values are the same, and then C is used in the formulaa_ossRepresents: ca_oss＝Ca1＝Ca2＝Ca3＝Ca4。iLoadFor the instantaneous value of the current through the load, ILoadEffective value of alternating current, V, for the current through the LoadDCIs a dc supply voltage.
When the load current is positive, the working mode and the switching time interval are as follows:
the circuit is in a steady state, S2、Sa1、Sa3In the on state, S1、Sa2、Sa4In an off state; freewheeling diode Dx1、Dx2The anti-parallel diode of the switching tube is in a turn-off state;
t0at time, turn off Sa3；
Sa3Delay DP1 after turn-off, turn on Sa4；
Figure GDA0003262366200000021
Sa4Delay DP2 after switching on, turn off S2；
Figure GDA0003262366200000022
S2Delay DP3 after shutdown, turn off Sa1；
Figure GDA0003262366200000023
Sa1Delay DP4 after turn-off, turn on Sa2；
Figure GDA0003262366200000024
Sa2Delay DP5 after conduction, turn on S1；
Figure GDA0003262366200000025
S1Delay after conduction Ton(Main Loop switch S2On-time) of S) is turned off1；
S1Delay DP6 after turn-off, turn on S2；
Figure GDA0003262366200000026
At t0Time of day, Sa3Delay after shutdown TSW/2(TswIs the switching period of the main switch), turns off Sa4；
Sa4Delay DP7 after turn-off, turn on Sa3；
Figure GDA0003262366200000031
Sa3Delay DP8 after switching on, turn off Sa2；
Figure GDA0003262366200000032
Off Sa2Delay DP9, turn on Sa1；
Figure GDA0003262366200000033
The working mode and the switching time interval when the load current is negative are:
the circuit is in a steady state, S1、Sa1、Sa3In the on state, S2、Sa2、Sa4In an off state; freewheeling diode Dx1、Dx2The anti-parallel diode of the switching tube is in a turn-off state;
t0at time, turn off Sa3；
Sa3DN1 is delayed after the switch-off, and S is conducteda4；
Figure GDA0003262366200000034
Sa4DN2 is delayed after conduction and S is turned off1；
Figure GDA0003262366200000035
S1Delay DP3 after shutdown, turn off Sa1；
Figure GDA0003262366200000036
Sa1Delay DP4 after turn-off, turn on Sa2；
Figure GDA0003262366200000037
Sa2Delay DP5 after conduction, turn on S2；
Figure GDA0003262366200000038
S2Delay after conduction Ton(Main Loop switch S2On-time) of S) is turned off2；
S2Delay DP6 after turn-off, turn on S1；
Figure GDA0003262366200000039
At t0Time of day, Sa3Delay after shutdown TSW/2(TswIs the switching period of the main switch), turns off Sa4；
Sa4Switch offA rear delay DN7, turn on Sa3；
Figure GDA00032623662000000310
Sa3DN8 is delayed after conduction and S is turned offa2；
Figure GDA0003262366200000041
Off Sa2Delay DN9, turn on Sa1；
Figure GDA0003262366200000042
Wherein the following parameters are input quantities: vAUXIs the auxiliary supply voltage; t is1A_minIs Sa4Shortest ZVS on-time; t is3BIs S1(S2) Shortest turn-on time; i isrThe part of the commutation current peak value exceeding the load current; v'AUXIs the secondary side voltage of the transformer; l isrIs a commutation inductance; l ismIs an excitation inductor;
Figure GDA0003262366200000043
the value of the exciting current before the current conversion of the auxiliary switch is obtained;
Figure GDA0003262366200000044
Figure GDA0003262366200000045
Figure GDA0003262366200000046
Figure GDA0003262366200000047
wherein T is13_minAfter neglecting the current change before charging the commutation current, iLoadWhen t is 01-t3The time interval of (c); t is1A_minWhen the load current is 0, Sa4ZVS on time T1-AA value of (d);
Figure GDA0003262366200000048
as a further improvement of the above scheme, the specific description of each mode and the calculation process of the interval time when the output current is positive are as follows:
mode 1, t<t0: the circuit is in a steady state, S2In a conducting state; load current ILoadBy S2Afterflow; sa1、Sa3Conducting, exciting current iLmBy Sa1、Sa3Free flow of value of
Figure GDA0003262366200000049
Mode 2, t0-t1：t0At time, turn off Sa3(ii) a Commutation inductor LrThrough a transformer and an excitation inductor LmAfter being connected in parallel with an auxiliary capacitor Ca3、Ca4Resonance occurs, and the potential of the R point drops; current of current conversion
Figure GDA00032623662000000410
Increase from zero; excitation current
Figure GDA00032623662000000411
Changing to the positive direction;
this mode Sa3Voltage v acrossSa3And primary winding current
Figure GDA00032623662000000412
The expression is as follows:
Figure GDA0003262366200000051
Figure GDA0003262366200000052
exciting current according to the relation between instantaneous value of inductive current and integral of terminal voltage and initial value of current
Figure GDA0003262366200000053
And the current of the current converter
Figure GDA0003262366200000054
Figure GDA0003262366200000055
Figure GDA0003262366200000056
Wherein ω isaFor resonant angular frequency:
Figure GDA0003262366200000057
at t1Time of day, Sa3Voltage resonance at both ends to VAUXThe time according to the present resonance mode is:
Figure GDA0003262366200000058
mode 3, t1-t2：t1At the moment, the potential at the point R is reduced to 0, and the auxiliary switch Sa4Is connected in parallel with the diode Da4Natural conduction, Sa4The ZVS commutation condition is achieved, the voltage at two ends of the excitation inductor is opposite to the current direction, and the magnitude of the excitation current is linearly reduced; the commutation current increases linearly; t is tACurrent of primary winding at any timeFlow is reduced to zero, Sa4May be in the time period t1-tAIs ZVS on1Time of day tAThe time interval between the moments being T1-A；
The primary winding current in the mode is as follows:
Figure GDA0003262366200000059
auxiliary pipe Sa4The on-time of (c) is:
Figure GDA00032623662000000510
Sa3turn off to Sa4The on-time interval DP1 is:
Figure GDA00032623662000000511
the current conversion current is:
Figure GDA00032623662000000512
wherein: v'AUXIs the secondary side voltage of the transformer;
t2time of day, current of commutation
Figure GDA00032623662000000513
The value of (d) increases to a maximum value:
iLr(t2)＝Ir+iLoad (33)
wherein: i isrFor converting current
Figure GDA0003262366200000061
Part of the load current is exceeded
The mode duration is:
Figure GDA0003262366200000062
Sa4is conducted to S2The off-time interval DP2 is:
Figure GDA0003262366200000063
mode 4, t2-t3：t2At the moment, the main switch S2Turn-off, commutation current iLrPart I of the medium excess load currentrTo the capacitor C1Discharge C2Charging, and enabling the potential of the point O to start resonant rising;
potential v at point OOAnd a current of commutation iLrThe expression is as follows:
Figure GDA0003262366200000064
Figure GDA0003262366200000065
wherein:
Figure GDA0003262366200000066
t3at that time, the potential at the point O rises to VDC-V′AUX(ii) a The mode duration is:
Figure GDA0003262366200000067
wherein:
Figure GDA0003262366200000068
S1is conducted to Sa1Switch offTime interval DP3 is:
DP3＝T2-3 (41)
mode 5, t3-t5：t3At that time, the potential at the point O rises to VDC-V′AUXTurn off Sa1Excitation current iLmIs increased to
Figure GDA0003262366200000069
Excitation current
Figure GDA00032623662000000610
To Ca1Charging Ca2Discharging, and enabling the potential of the point Q to start to approximately linearly decrease; t is t4At the moment, the potential at the point Q is reduced to 0, and the switch S is assisteda2Is connected in parallel with the diode Da2Conducting naturally;
t3-t4the duration is:
Figure GDA00032623662000000611
Sa1turn off to Sa2The on-time interval DP4 is:
DP4＝T3-4 (43)
mode 6, t5-t6: at t5At the moment, the main switch S1Is connected in parallel with the diode D1Natural conduction, S1The ZVS commutation condition is met; current of commutation iLrLinear decrease, tBAt the moment, the current i is convertedLrDown to the load current iLoad(ii) a Main switch tube S1May be in the time period t5-tBBetween the two switches to realize ZVS on5Time tBThe time interval between the moments being T5-B；
t5At that time, the potential at the point O rises to VDC；S1The commutation time is as follows:
Figure GDA0003262366200000071
S1ZVS on mode duration is:
Figure GDA0003262366200000072
Sa2is conducted to S1The on-time interval DP5 is:
Figure GDA0003262366200000073
mode 7, t6-t8：tB-t6Determined by PWM control requirement, t6At time, turn off S1Load current iLoadTo C1Charging, C2Discharging, and linearly reducing the potential of the O point; t is t7At the moment, the potential at the point O is reduced to 0, and the main switch S2Is connected in parallel with the diode D2Conducting naturally; s2Can be at t7Then controlling the conduction;
t6-t7the duration is:
Figure GDA0003262366200000074
S1turn off to S2The on-time interval DP6 is:
DP6＝T6-7 (48)
mode 8, t8-t9：t8At time, turn off Sa4Exciting current
Figure GDA0003262366200000075
To Ca4Charging Ca3Discharging, and the potential of the R point begins to rise;
potential v at point RRAnd current
Figure GDA0003262366200000076
The expression is as follows:
Figure GDA0003262366200000077
Figure GDA0003262366200000078
wherein:
Figure GDA0003262366200000079
at t9At the moment, the potential at the point R resonates to VAUXThe pattern duration is:
Figure GDA00032623662000000710
mode 9, t9-t10：t9At that time, the potential at the point R rises to VAUXAuxiliary switch Sa3Is connected in parallel with the diode Da3Natural conduction, Sa3Reach ZVS commutation condition, tCAt the moment, the excitation current is reduced to zero; sa3Can be at t9Time tCControl conduction between moments, t9Time tCThe time interval between the moments being T9-C；
The excitation current in the mode is as follows:
Figure GDA0003262366200000081
Sa3the on-time of (c) is:
Figure GDA0003262366200000082
Sa4turn off to Sa3The on-time interval DP7 is:
Figure GDA0003262366200000083
t10time of day, exciting current
Figure GDA0003262366200000084
Is increased to
Figure GDA0003262366200000085
The mode duration is:
Figure GDA0003262366200000086
Sa3is conducted to Sa2The off-time interval DP8 is:
Figure GDA0003262366200000087
mode 10, t10-t11：t10At time, turn off Sa2(ii) a Auxiliary converter transformer excitation current
Figure GDA0003262366200000088
To Ca2Charging Ca1Discharging, and enabling the potential of the point Q to rise approximately linearly; t is t11At that time, the potential at the point P rises to VAUXAuxiliary switch Sa1Is connected in parallel with the diode Da1Conducting naturally; controlling conduction S before the next switching cyclea1；
The mode duration is:
Figure GDA0003262366200000089
Sa2turn off to Sa1The on-time interval DP9 is:
DP9＝T10-11 (59)
the specific description of each mode and the calculation process of the interval time when the output current is negative are as follows:
mode(s)1，t<t0: the circuit is in a steady state, S1In a conducting state; load current ILoadBy S1Follow current, Sa1、Sa3Conducting, exciting current iLmBy Sa1、Sa3Free flow of value of
Figure GDA00032623662000000810
Mode 2, t0-t1：t0At time, turn off Sa3(ii) a Commutation inductor LrThrough a transformer and an excitation inductor LmAfter being connected in parallel with an auxiliary capacitor Ca3、Ca4Resonance occurs, the potential at the R point drops, and current is converted
Figure GDA00032623662000000811
Increase from zero; excitation current
Figure GDA00032623662000000812
Changing to the positive direction;
this mode Sa3Voltage v acrossSa3And primary winding current
Figure GDA00032623662000000813
The expression is as follows:
Figure GDA00032623662000000814
Figure GDA00032623662000000815
exciting current according to the relation between instantaneous value of inductive current and integral of terminal voltage and initial value of current
Figure GDA00032623662000000816
And the current of the current converter
Figure GDA00032623662000000817
Figure GDA0003262366200000091
Figure GDA0003262366200000092
Wherein ω isaFor resonant angular frequency:
Figure GDA0003262366200000093
at t1Time of day, Sa3Voltage resonance at both ends to VAUXThe time according to the present resonance mode is:
Figure GDA0003262366200000094
mode 3, t1-t2：t1At the moment, the potential at the point R is reduced to 0, and the auxiliary switch Sa4Is connected in parallel with the diode Da4Natural conduction, Sa4The ZVS commutation condition is achieved, the voltage at two ends of the excitation inductor is opposite to the current direction, and the magnitude of the excitation current is linearly reduced; the commutation current increases linearly; t is tAAt that moment, the primary winding current is reduced to zero, Sa4May be in the time period t1-tAIs ZVS on, t1Time tAThe time interval between the moments being T1-A；
The primary winding current in the mode is as follows:
Figure GDA0003262366200000095
auxiliary pipe Sa4The on-time of (c) is:
Figure GDA0003262366200000096
Sa3turn off to Sa4The on-time interval DN1 is: (ii) a
Figure GDA0003262366200000097
The current conversion current is:
Figure GDA0003262366200000098
wherein: v' is the secondary side voltage of the transformer;
AUX
t2time of day, current of commutation
Figure GDA0003262366200000099
The value of (d) increases to a maximum value:
iLr(t2)＝Ir+iLoad(70)
wherein: i isrFor converting current
Figure GDA00032623662000000910
Part of the load current is exceeded
Duration T1-2Comprises the following steps:
Figure GDA0003262366200000101
Sa4is conducted to S1The off-time interval DN2 is:
Figure GDA0003262366200000102
mode 4, t2-t3：t2At the moment, the main switch S1Turn-off, commutation current iLrPart I of the medium excess load currentrTo the capacitor C2Discharge C1Charging, electricity at O pointThe bit begins to resonate down;
potential v at point OOAnd a current of commutation iLrThe expression is as follows:
Figure GDA0003262366200000103
Figure GDA0003262366200000104
wherein:
Figure GDA0003262366200000105
t3at that time, the potential at point O is lowered to V'AUX(ii) a The mode duration is:
Figure GDA0003262366200000106
wherein:
Figure GDA0003262366200000107
S1is conducted to Sa1The off-time interval DN3 is:
DN3＝T2-3 (78)
mode 5, t3-t5：t3At that time, the potential at point O is lowered to V'AUXTurn off Sa1Excitation current iLmIs increased to
Figure GDA0003262366200000108
Excitation current
Figure GDA0003262366200000109
To Ca1Charging Ca2Discharging, and enabling the potential of the point Q to start to approximately linearly decrease; t is t4At that time, the potential at the point Q is lowered to 0, assistedAuxiliary switch Sa2Is connected in parallel with the diode Da2Conducting naturally;
t3-t4the duration is:
Figure GDA00032623662000001010
Sa1turn off to Sa2The on-time interval DN4 is:
DN4＝T3-4 (80)
mode 6, t5-t6: at t5At the moment, the main switch S2Is connected in parallel with the diode D2Natural conduction, S2The ZVS commutation condition is met; current of commutation iLrLinear decrease, tBAt the moment, the current i is convertedLrDown to the load current iLoad(ii) a Main switch tube S2May be in the time period t5-tBBetween ZVS on and t5Time tBThe time interval between the moments being T5-B；
t5At that time, the potential at the point O rises to VDC；S2The commutation time is as follows:
Figure GDA0003262366200000111
S2ZVS on mode duration is:
Figure GDA0003262366200000112
Sa2is conducted to S1The on-time interval DN5 is:
Figure GDA0003262366200000113
mode 7, t6-t8：tB-t6Determined by PWM control requirement, t6At time, turn off S2Load current iLoadTo C2Charging, C1Discharging, and linearly increasing the potential of the O point; t is t7At that time, the potential at the point O rises to VDCMain switch S1Is connected in parallel with the diode D1Conducting naturally; s1Can be at t7Then controlling the conduction;
t6-t7the duration is:
Figure GDA0003262366200000114
S1turn off to S2The on-time interval DN6 is:
DN6＝T6-7(85)
mode 8, t8-t9：t8At time, turn off Sa4Exciting current
Figure GDA0003262366200000115
To Ca4Charging Ca3Discharging, and the potential of the R point begins to rise;
potential v at point RRAnd current
Figure GDA0003262366200000116
The expression is as follows:
Figure GDA0003262366200000117
Figure GDA0003262366200000118
wherein:
Figure GDA0003262366200000119
at t9At the moment, the potential at the point R resonates to VAUXThe pattern duration is:
Figure GDA00032623662000001110
mode 9, t9-t10：t9At that time, the potential at the point R rises to VAUXAuxiliary switch Sa3Is connected in parallel with the diode Da3Natural conduction, Sa3Reach ZVS commutation condition, tCAt the moment, the excitation current is reduced to zero; sa3Can be at t9Time tCControl conduction between moments, t9Time tCThe time interval between the moments being T9-C；
The excitation current in the mode is as follows:
Figure GDA00032623662000001111
Sa3the on-time of (c) is:
Figure GDA0003262366200000121
Sa4turn off to Sa3The on-time interval DN7 is:
Figure GDA0003262366200000122
t10time of day, exciting current
Figure GDA0003262366200000123
Is increased to
Figure GDA0003262366200000124
The mode duration is:
Figure GDA0003262366200000125
Sa3is conducted to Sa2The off-time interval DN8 is:
Figure GDA0003262366200000126
mode 10, t10-t11：t10At time, turn off Sa2(ii) a Auxiliary converter transformer excitation current
Figure GDA0003262366200000127
To Ca2Charging Ca1Discharging, and enabling the potential of the point Q to rise approximately linearly; t is t11At that time, the potential at the point P rises to VAUXAuxiliary switch Sa1Is connected in parallel with the diode Da1Conducting naturally; controlling conduction S before the next switching cyclea1；
The mode duration is:
Figure GDA0003262366200000128
Sa2turn off to Sa1The on-time interval DN9 is:
DN9＝T10-11 (96)
the invention has the beneficial effects that:
compared with the prior art, the circuit of the invention utilizes the phase correlation method to keep the prior art, realizes the advantage of zero voltage switching-on of the main switch tube, reduces the switching loss of the main switch, and in addition, the auxiliary switch in the auxiliary loop also realizes the zero voltage switching-on through the energy storage in the excitation inductor and the voltage withstanding value of the auxiliary switch is far smaller than that of the main switch; the magnetizing current reset is reliably realized in each switching period, and the volume of the transformer is effectively reduced; the secondary winding of the transformer is coupled to solve the problem of an auxiliary converter diode DN1And DN2The problem of overpressure.
Drawings
The following detailed description of embodiments of the invention is provided in conjunction with the appended drawings, in which:
FIG. 1 is a prior art soft switching inverter circuit with an auxiliary loop using two transformers;
FIG. 2 is a prior art soft switching inverter circuit with an auxiliary loop using two transformers;
FIG. 3 is an auxiliary resonant commutating pole inverter circuit with bi-directional reset of the phase-correlated magnetizing current of the present invention;
FIG. 4 is a first commutating diode DC1A freewheeling path for reverse recovery current;
FIG. 5 is a second commutating diode DC2A freewheeling path for reverse recovery current;
FIG. 6 is a state diagram of the circuit of the present invention for each mode of a PWM switching cycle when the output current is positive;
FIG. 7 is a state diagram of the circuit of the present invention in each mode during a PWM switching cycle when the output current is negative;
FIG. 8 is a schematic diagram of the equivalent circuit of mode 2 in one PWM switching cycle in accordance with the present invention;
FIG. 9 is a schematic diagram of the equivalent circuit of mode 3 in one PWM switching cycle according to the present invention;
FIG. 10 is a schematic diagram of the equivalent circuit of mode 4 in one PWM switching cycle according to the present invention;
FIG. 11 is a schematic diagram of the equivalent circuit of mode 8 in one PWM switching cycle according to the present invention;
FIG. 12 is a waveform diagram of the driving pulse signal and the main node voltage and the branch current of each switching tube in a PWM switching period when the output current is positive in the circuit of the present invention;
FIG. 13 is a waveform diagram of the driving pulse signal and the primary node voltage and current of each switching tube in a PWM switching period when the output current is negative.
Detailed Description
The invention provides an auxiliary resonance commutation pole inverter with symmetrically reset phase-related magnetizing current,
comprises a first main switch tube S1A second main switch tube S2A first commutation diode Dc1A second commutation diode Dc2A first freewheeling diode Dx1A second freewheeling diode Dx2DC power supply VDCAuxiliary power supply VAUXLoad, first voltage-dividing capacitor Cd1And a second voltage dividing capacitor Cd2Resonant inductor Lr1Resonant inductor Lr2Auxiliary converter transformer primary winding T1Auxiliary converter transformer secondary side first winding T2Auxiliary secondary side second winding T of auxiliary converter transformer3A first auxiliary switch tube Sa1A second auxiliary switch tube Sa2The third auxiliary switch tube Sa3The fourth auxiliary switch tube Sa4Leading bridge arm AC-Lead, lagging bridge arm AC-Lag and exciting inductor Lm. The first main switch tube S1Source electrode and second main switch tube S2The drain electrode of the switch tube is connected with a point O, and the two switch tubes form a main switch bridge arm; first main switch tube S1Drain electrode of (1), first conversion diode Dc1Negative electrode of (1), second freewheeling diode Dx2Negative electrode of and DC power supply VDCThe positive electrodes are connected; DC power supply VDCNegative pole and second main switch tube S2Source electrode of, second conversion diode Dc2Anode of (2), first freewheeling diode Dx1The positive electrodes of the two electrodes are connected; one end of the Load is connected with the point O of the middle point of the bridge arm of the main switch, and the other end is connected with the first voltage-dividing capacitor Cd1And a second voltage dividing capacitor Cd2Are connected with each other; resonant inductor Lr1One end of the auxiliary converter transformer is connected with the midpoint O of the main switch bridge arm, and the other end of the auxiliary converter transformer is connected with the auxiliary side first winding T of the auxiliary converter transformer2The different name ends are connected; auxiliary side first winding T of auxiliary converter transformer2And a first commutation diode Dc1Anode of (2), first freewheeling diode Dx1The negative electrodes are connected; resonant inductor Lr2One end of the auxiliary converter transformer is connected with the midpoint O of the main switch bridge arm, and the other end of the auxiliary converter transformer is connected with the secondary side second winding T of the auxiliary converter transformer3The same name end of the terminal is connected; secondary secondary winding T of auxiliary converter transformer3And a second commutation diode Dc2Negative electrode of (1), second freewheeling diode Dx2The positive electrodes of the two electrodes are connected; first auxiliary switch tube Sa1Source electrode of and second auxiliary switch tube Sa2The drain of the transistor is connected with a point Q,the two switching tubes form an advanced bridge arm AC-Lead of the commutation auxiliary circuit; third auxiliary switch tube Sa3Source electrode of and fourth auxiliary switch tube Sa4The drain electrode of the converter auxiliary circuit is connected with the R point, and the two switching tubes form a hysteresis bridge arm AC-Lag of the converter auxiliary circuit; first auxiliary switch tube Sa1Drain electrode of the first auxiliary switch tube Sa3Drain electrode of and auxiliary power supply VAUXIs connected with an auxiliary power supply VAUXAnd a second auxiliary switch tube Sa2Source electrode of, fourth auxiliary switch tube Sa4The source electrodes of the two-way transistor are connected; primary winding T of auxiliary converter transformer1The homonymous end of the leading auxiliary switch bridge arm is connected with a midpoint Q point of the leading auxiliary switch bridge arm, and the heteronymous end of the leading auxiliary switch bridge arm is connected with a midpoint R point of the lagging auxiliary switch bridge arm; excitation inductance LmIs connected in parallel with the primary winding T of the auxiliary converter transformer1Two ends; auxiliary side first winding T of auxiliary converter transformer2And a second winding T3Has the same number of turns, and assists the primary winding T of the converter transformer1Number of turns and T2Or T3The turn ratio of (D) is 1/n, and the first freewheeling diode Dx1And a second freewheeling diode Dx2Has the effect of being at the first commutation diode Dc1And a second commutation diode Dc2Providing follow current paths for reverse current in reverse recovery process, wherein the follow current paths are respectively T2→Lr1→S2→DX1→T2And T3→DX2→S1→Lr2→T3。
As a further improvement of the above scheme, when the load current is positive, the operation mode and the switching time interval are as follows:
main switch tube S1-S2The body parasitic capacitance and the external parallel absorption capacitance C1-C2The values are the same, and then C is used in the formulam_ossIs represented by Cm_oss＝C1＝C2Auxiliary switch tube Sa1-Sa4The body parasitic capacitance and the external parallel absorption capacitance Ca1-Ca4The values are the same, and then C is used in the formulaa_ossRepresents: ca_oss＝Ca1＝Ca2＝Ca3＝Ca4。iLoadFor the instantaneous value of the current through the load, ILoadEffective value of alternating current, V, for the current through the LoadDCIs a dc supply voltage.
The circuit is in a steady state, S2、Sa1、Sa3In the on state, S1、Sa2、Sa4In an off state; freewheeling diode Dx1、Dx2The anti-parallel diode of the switching tube is in a turn-off state;
t0at time, turn off Sa3；
Sa3Delay DP1 after turn-off, turn on Sa4；
Figure GDA0003262366200000131
Sa4Delay DP2 after switching on, turn off S2；
Figure GDA0003262366200000132
S2Delay DP3 after shutdown, turn off Sa1；
Figure GDA0003262366200000141
Sa1Delay DP4 after turn-off, turn on Sa2；
Figure GDA0003262366200000142
Sa2Delay DP5 after conduction, turn on S1；
Figure GDA0003262366200000143
S1Delay after conduction Ton(Main Loop switch S2On-time) of S) is turned off1；
S1Delay DP6 after turn-off, turn on S2；
Figure GDA0003262366200000144
At t0Time of day, Sa3Delay after shutdown TSW/2(TswIs the switching period of the main switch), turns off Sa4；
Sa4Delay DP7 after turn-off, turn on Sa3；
Figure GDA0003262366200000145
Sa3Delay DP8 after switching on, turn off Sa2；
Figure GDA0003262366200000146
Off Sa2Delay DP9, turn on Sa1；
Figure GDA0003262366200000147
The working mode and the switching time interval when the load current is negative are:
the circuit is in a steady state, S1、Sa1、Sa3In the on state, S2、Sa2、Sa4In an off state; freewheeling diode Dx1、Dx2The anti-parallel diode of the switching tube is in a turn-off state;
t0at time, turn off Sa3；
Sa3DN1 is delayed after the switch-off, and S is conducteda4；
Figure GDA0003262366200000148
Sa4DN2 is delayed after conduction and S is turned off1；
Figure GDA0003262366200000149
S1Delay DP3 after shutdown, turn off Sa1；
Figure GDA00032623662000001410
Sa1Delay DP4 after turn-off, turn on Sa2；
Figure GDA0003262366200000151
Sa2Delay DP5 after conduction, turn on S2；
Figure GDA0003262366200000152
S2Delay after conduction Ton(Main Loop switch S2On-time) of S) is turned off2；
S2Delay DP6 after turn-off, turn on S1；
Figure GDA0003262366200000153
At t0Time of day, Sa3Delay after shutdown TSW/2(TswIs the switching period of the main switch), turns off Sa4；
Sa4DN7 is delayed after the switch-off, and S is conducteda3；
Figure GDA0003262366200000154
Sa3DN8 is delayed after conduction and S is turned offa2；
Figure GDA0003262366200000155
Off Sa2Delay DN9, turn on Sa1；
Figure GDA0003262366200000156
Wherein the following parameters are input quantities: vAUXIs the auxiliary supply voltage; t is1A_minIs Sa4Shortest ZVS on-time; t is3BIs S1(S2) Shortest turn-on time; i isrThe part of the commutation current peak value exceeding the load current; v'AUXIs the secondary side voltage of the transformer; l isrIs a commutation inductance; l ismIs an excitation inductor;
Figure GDA0003262366200000157
the value of the exciting current before the current conversion of the auxiliary switch is obtained;
Figure GDA0003262366200000158
Figure GDA0003262366200000159
Figure GDA00032623662000001510
Figure GDA0003262366200000161
wherein T is13_minFor ignoring electricity before charging the commutating currentAfter the flow changes, iLoadWhen t is 01-t3The time interval of (c); t is1A_minWhen the load current is 0, Sa4ZVS on time T1-AA value of (d);
Figure GDA0003262366200000162
as a further improvement of the above scheme, the specific description of each mode and the calculation process of the interval time when the output current is positive are as follows:
mode 1, t<t0: the circuit is in a steady state, S2In a conducting state; load current ILoadBy S2Afterflow; sa1、Sa3Conducting, exciting current iLmBy Sa1、Sa3Free flow of value of
Figure GDA0003262366200000163
Mode 2, t0-t1：t0At time, turn off Sa3(ii) a Commutation inductor LrThrough a transformer and an excitation inductor LmAfter being connected in parallel with an auxiliary capacitor Ca3、Ca4Resonance occurs, and the potential of the R point drops; current of current conversion
Figure GDA0003262366200000164
Increase from zero; excitation current
Figure GDA0003262366200000165
Changing to the positive direction;
this mode Sa3Voltage v acrossSa3And primary winding current
Figure GDA0003262366200000166
The expression is as follows:
Figure GDA0003262366200000167
Figure GDA0003262366200000168
exciting current according to the relation between instantaneous value of inductive current and integral of terminal voltage and initial value of current
Figure GDA0003262366200000169
And the current of the current converter
Figure GDA00032623662000001610
Figure GDA00032623662000001611
Figure GDA00032623662000001612
Wherein ω isaFor resonant angular frequency:
Figure GDA00032623662000001613
at t1Time of day, Sa3Voltage resonance at both ends to VAUXThe time according to the present resonance mode is:
Figure GDA00032623662000001614
mode 3, t1-t2：t1At the moment, the potential at the point R is reduced to 0, and the auxiliary switch Sa4Is connected in parallel with the diode Da4Natural conduction, Sa4The ZVS commutation condition is achieved, the voltage at two ends of the excitation inductor is opposite to the current direction, and the magnitude of the excitation current is linearly reduced; the commutation current increases linearly; t is tAAt that moment, the primary winding current is reduced to zero, Sa4May be in the time period t1-tAIs ZVS on1Time of day tAThe time interval between the moments being T1-A；
The primary winding current in the mode is as follows:
Figure GDA0003262366200000171
auxiliary pipe Sa4The on-time of (c) is:
Figure GDA0003262366200000172
Sa3turn off to Sa4The on-time interval DP1 is:
Figure GDA0003262366200000173
the current conversion current is:
Figure GDA0003262366200000174
wherein: v'AUXIs the secondary side voltage of the transformer;
t2time of day, current of commutation
Figure GDA0003262366200000175
The value of (d) increases to a maximum value:
iLr(t2)＝Ir+iLoad (129)
wherein: i isrFor converting current
Figure GDA0003262366200000176
Part of the load current is exceeded
The mode duration is:
Figure GDA0003262366200000177
Sa4is conducted to S2At the time of turn-offThe interval DP2 is:
Figure GDA0003262366200000178
mode 4, t2-t3：t2At the moment, the main switch S2Turn-off, commutation current iLrPart I of the medium excess load currentrTo the capacitor C1Discharge C2Charging, and enabling the potential of the point O to start resonant rising;
potential v at point OOAnd a current of commutation iLrThe expression is as follows:
Figure GDA0003262366200000179
Figure GDA00032623662000001710
wherein:
Figure GDA00032623662000001711
t3at that time, the potential at the point O rises to VDC-V′AUX(ii) a The mode duration is:
Figure GDA0003262366200000181
wherein:
Figure GDA0003262366200000182
S1is conducted to Sa1The off-time interval DP3 is:
DP3＝T2-3 (137)
mode 5, t3-t5：t3At time, power onPosition rises to VDC-V′AUXTurn off Sa1Excitation current iLmIs increased to
Figure GDA0003262366200000183
Excitation current
Figure GDA0003262366200000184
To Ca1Charging Ca2Discharging, and enabling the potential of the point Q to start to approximately linearly decrease; t is t4At the moment, the potential at the point Q is reduced to 0, and the switch S is assisteda2Is connected in parallel with the diode Da2Conducting naturally;
t3-t4the duration is:
Figure GDA0003262366200000185
Sa1turn off to Sa2The on-time interval DP4 is:
DP4＝T3-4 (139)
mode 6, t5-t6: at t5At the moment, the main switch S1Is connected in parallel with the diode D1Natural conduction, S1The ZVS commutation condition is met; current of commutation iLrLinear decrease, tBAt the moment, the current i is convertedLrDown to the load current iLoad(ii) a Main switch tube S1May be in the time period t5-tBBetween the two switches to realize ZVS on5Time tBThe time interval between the moments being T5-B；
t5At that time, the potential at the point O rises to VDC；S1The commutation time is as follows:
Figure GDA0003262366200000186
S1ZVS on mode duration is:
Figure GDA0003262366200000187
Sa2is conducted to S1The on-time interval DP5 is:
Figure GDA0003262366200000188
mode 7, t6-t8：tB-t6Determined by PWM control requirement, t6At time, turn off S1Load current iLoadTo C1Charging, C2Discharging, and linearly reducing the potential of the O point; t is t7At the moment, the potential at the point O is reduced to 0, and the main switch S2Is connected in parallel with the diode D2Conducting naturally; s2Can be at t7Then controlling the conduction;
t6-t7the duration is:
Figure GDA0003262366200000189
S1turn off to S2The on-time interval DP6 is:
DP6＝T6-7 (144)
mode 8, t8-t9：t8At time, turn off Sa4Exciting current
Figure GDA00032623662000001810
To Ca4Charging Ca3Discharging, and the potential of the R point begins to rise;
potential v at point RRAnd current
Figure GDA00032623662000001811
The expression is as follows:
Figure GDA0003262366200000191
Figure GDA0003262366200000192
wherein:
Figure GDA0003262366200000193
at t9At the moment, the potential at the point R resonates to VAUXThe pattern duration is:
Figure GDA0003262366200000194
mode 9, t9-t10：t9At that time, the potential at the point R rises to VAUXAuxiliary switch Sa3Is connected in parallel with the diode Da3Natural conduction, Sa3Reach ZVS commutation condition, tCAt the moment, the excitation current is reduced to zero; sa3Can be at t9Time tCControl conduction between moments, t9Time tCThe time interval between the moments being T9-C；
The excitation current in the mode is as follows:
Figure GDA0003262366200000195
Sa3the on-time of (c) is:
Figure GDA0003262366200000196
Sa4turn off to Sa3The on-time interval DP7 is:
Figure GDA0003262366200000197
t10time of day, exciting current
Figure GDA0003262366200000198
Is increased to
Figure GDA0003262366200000199
The mode duration is:
Figure GDA00032623662000001910
Sa3is conducted to Sa2The off-time interval DP8 is:
Figure GDA00032623662000001911
mode 10, t10-t11：t10At time, turn off Sa2(ii) a Auxiliary converter transformer excitation current
Figure GDA00032623662000001912
To Ca2Charging Ca1Discharging, and enabling the potential of the point Q to rise approximately linearly; t is t11At that time, the potential at the point P rises to VAUXAuxiliary switch Sa1Is connected in parallel with the diode Da1Conducting naturally; controlling conduction S before the next switching cyclea1；
The mode duration is:
Figure GDA00032623662000001913
Sa2turn off to Sa1The on-time interval DP9 is:
DP9＝T10-11 (155)
the specific description of each mode and the calculation process of the interval time when the output current is negative are as follows:
mode 1, t<t0: the circuit is in a steady state, S1In a conducting state; load current ILoadBy S1Follow current, Sa1、Sa3Is turned on and excitedMagnetic current iLmBy Sa1、Sa3Free flow of value of
Figure GDA0003262366200000201
Mode 2, t0-t1：t0At time, turn off Sa3(ii) a Commutation inductor LrThrough a transformer and an excitation inductor LmAfter being connected in parallel with an auxiliary capacitor Ca3、Ca4Resonance occurs, the potential at the R point drops, and current is converted
Figure GDA0003262366200000202
Increase from zero; excitation current
Figure GDA0003262366200000203
Changing to the positive direction;
this mode Sa3Voltage v acrossSa3And primary winding current
Figure GDA0003262366200000204
The expression is as follows:
Figure GDA0003262366200000205
Figure GDA0003262366200000206
exciting current according to the relation between instantaneous value of inductive current and integral of terminal voltage and initial value of current
Figure GDA0003262366200000207
And the current of the current converter
Figure GDA0003262366200000208
Figure GDA0003262366200000209
Figure GDA00032623662000002010
Wherein ω isaFor resonant angular frequency:
Figure GDA00032623662000002011
at t1Time of day, Sa3Voltage resonance at both ends to VAUXThe time according to the present resonance mode is:
Figure GDA00032623662000002012
mode 3, t1-t2：t1At the moment, the potential at the point R is reduced to 0, and the auxiliary switch Sa4Is connected in parallel with the diode Da4Natural conduction, Sa4The ZVS commutation condition is achieved, the voltage at two ends of the excitation inductor is opposite to the current direction, and the magnitude of the excitation current is linearly reduced; the commutation current increases linearly; t is tAAt that moment, the primary winding current is reduced to zero, Sa4May be in the time period t1-tAIs ZVS on, t1Time tAThe time interval between the moments being T1-A；
The primary winding current in the mode is as follows:
Figure GDA00032623662000002013
auxiliary pipe Sa4The on-time of (c) is:
Figure GDA00032623662000002014
Sa3turn off to Sa4The on-time interval DN1 is: (ii) a
Figure GDA0003262366200000211
The current conversion current is:
Figure GDA0003262366200000212
wherein: v'AUXIs the secondary side voltage of the transformer;
t2time of day, current of commutation
Figure GDA0003262366200000213
The value of (d) increases to a maximum value:
iLr(t2)＝Ir+iLoad (166)
wherein: i isrFor converting current
Figure GDA0003262366200000214
Part of the load current is exceeded
Duration T1-2Comprises the following steps:
Figure GDA0003262366200000215
Sa4is conducted to S1The off-time interval DN2 is:
Figure GDA0003262366200000216
mode 4, t2-t3：t2At the moment, the main switch S1Turn-off, commutation current iLrPart I of the medium excess load currentrTo the capacitor C2Discharge C1Charging, and the potential of the point O starts to decrease in resonance;
potential v at point OOAnd a current of commutation iLrThe expression is as follows:
Figure GDA0003262366200000217
Figure GDA0003262366200000218
wherein:
Figure GDA0003262366200000219
t3at that time, the potential at point O is lowered to V'AUX(ii) a The mode duration is:
Figure GDA00032623662000002110
wherein:
Figure GDA00032623662000002111
S1is conducted to Sa1The off-time interval DN3 is:
DN3＝T2-3 (174)
mode 5, t3-t5：t3At that time, the potential at point O is lowered to V'AUXTurn off Sa1Excitation current iLmIs increased to
Figure GDA0003262366200000221
Excitation current
Figure GDA0003262366200000222
To Ca1Charging Ca2Discharging, and enabling the potential of the point Q to start to approximately linearly decrease; t is t4At the moment, the potential at the point Q is reduced to 0, and the switch S is assisteda2Is connected in parallel with the diode Da2Conducting naturally;
t3-t4the duration is:
Figure GDA0003262366200000223
Sa1turn off to Sa2The on-time interval DN4 is:
DN4＝T3-4 (176)
mode 6, t5-t6: at t5At the moment, the main switch S2Is connected in parallel with the diode D2Natural conduction, S2The ZVS commutation condition is met; current of commutation iLrLinear decrease, tBAt the moment, the current i is convertedLrDown to the load current iLoad(ii) a Main switch tube S2May be in the time period t5-tBBetween ZVS on and t5Time tBThe time interval between the moments being T5-B；
t5At that time, the potential at the point O rises to VDC；S2The commutation time is as follows:
Figure GDA0003262366200000224
S2ZVS on mode duration is:
Figure GDA0003262366200000225
Sa2is conducted to S1The on-time interval DN5 is:
Figure GDA0003262366200000226
mode 7, t6-t8：tB-t6Determined by PWM control requirement, t6At time, turn off S2Load current iLoadTo C2Charging, C1Discharging, and linearly increasing the potential of the O point; t is t7At that time, the potential at the point O rises to VDCMain switch S1Is connected in parallel with the diode D1Conducting naturally; s1Can be at t7Then controlling the conduction;
t6-t7the duration is:
Figure GDA0003262366200000227
S1turn off to S2The on-time interval DN6 is:
DN6＝T6-7 (181)
mode 8, t8-t9：t8At time, turn off Sa4Exciting current
Figure GDA0003262366200000228
To Ca4Charging Ca3Discharging, and the potential of the R point begins to rise;
potential v at point RRAnd current
Figure GDA0003262366200000229
The expression is as follows:
Figure GDA00032623662000002210
Figure GDA00032623662000002211
wherein:
Figure GDA00032623662000002212
at t9At the moment, the potential at the point R resonates to VAUXThe pattern duration is:
Figure GDA0003262366200000231
mode 9, t9-t10：t9At that time, the potential at the point R rises to VAUXAuxiliary switch Sa3Is connected in parallel with the diode Da3Natural conduction, Sa3Reach ZVS commutation condition, tCAt the moment, the excitation current is reduced to zero; sa3Can be at t9Time tCControl conduction between moments, t9Time tCThe time interval between the moments being T9-C；
The excitation current in the mode is as follows:
Figure GDA0003262366200000232
Sa3the on-time of (c) is:
Figure GDA0003262366200000233
Sa4turn off to Sa3The on-time interval DN7 is:
Figure GDA0003262366200000234
t10time of day, exciting current
Figure GDA0003262366200000235
Is increased to
Figure GDA0003262366200000236
The mode duration is:
Figure GDA0003262366200000237
Sa3is conducted to Sa2The off-time interval DN8 is:
Figure GDA0003262366200000238
mode 10, t10-t11：t10At time, turn off Sa2(ii) a Auxiliary converter transformer excitation current
Figure GDA0003262366200000239
To Ca2Charging Ca1Discharging, and enabling the potential of the point Q to rise approximately linearly; t is t11At that time, the potential at the point P rises to VAUXAuxiliary switch Sa1Is connected in parallel with the diode Da1Conducting naturally; controlling conduction S before the next switching cyclea1；
The mode duration is:
Figure GDA00032623662000002310
Sa2turn off to Sa1The on-time interval DN9 is:
DN9＝T10-11 (192)
auxiliary converter transformer TXBy a primary winding T1(number of winding turns N1), two secondary windings T2、T3Ideal transformer (N-2/N-1/N-3/N-1) and field inductance L (N-2, N-3 winding turns)mAnd (4) forming. The following analysis was performed for both cases where the output current was positive and negative, respectively. Since the load inductance is large enough, the load current is considered constant during one PWM switching period.
The input parameters are shown in the following table:
Figure GDA00032623662000002311
Figure GDA0003262366200000241
the specific values of the inductance and the transformer calculated according to the constraints of the input parameters are as follows:
commutation inductance (L)r) 4.21uH
Excitation inductor (L)m) 954nH
Transformer secondary side voltage (V'AUX) 60V
Each duration and
Figure GDA0003262366200000242
the relationship to load current is as follows:
Figure GDA0003262366200000243
Figure GDA0003262366200000244
Figure GDA0003262366200000245
DP3＝DN3＝T2-3＝23.5ns (196)
Figure GDA0003262366200000246
Figure GDA0003262366200000247
Figure GDA0003262366200000248
Figure GDA0003262366200000249
Figure GDA00032623662000002410
Figure GDA00032623662000002411
the above embodiments are not limited to the technical solutions of the embodiments themselves, and the embodiments may be combined with each other into a new embodiment. The above embodiments are only for illustrating the technical solutions of the present invention and are not limited thereto, and any modification or equivalent replacement without departing from the spirit and scope of the present invention should be covered within the technical solutions of the present invention.

Claims (3)

1. An auxiliary resonance converter pole inverter with phase-correlated magnetizing current symmetrical reset is characterized in that: comprises a first main switch tube S1A second main switch tube S2A first commutation diode Dc1A second commutation diode Dc2A first freewheeling diode Dx1A second freewheeling diode Dx2DC power supply VDCAuxiliary power supply VAUXLoad, first voltage-dividing capacitor Cd1And a second voltage dividing capacitor Cd2Resonant inductor Lr1Resonant inductor Lr2Auxiliary converter transformer primary winding T1Auxiliary converter transformer secondary side first winding T2Auxiliary secondary side second winding T of auxiliary converter transformer3A first auxiliary switch tube Sa1A second auxiliary switch tube Sa2The third auxiliary switch tube Sa3The fourth auxiliary switch tube Sa4Leading bridge arm AC-Lead, lagging bridge arm AC-Lag and exciting inductor LmThe first main switch tube S1Source electrode and second main switch tube S2The drain electrode of the switch tube is connected with a point O, and the two switch tubes form a main switch bridge arm; first main switch tube S1Drain electrode of (1), first conversion diode Dc1Negative electrode of (1), second freewheeling diode Dx2Negative electrode of and DC power supply VDCThe positive electrodes are connected; DC power supply VDCNegative pole and second main switch tube S2Source electrode of, second conversion diode Dc2Anode of (2), first freewheeling diode Dx1The positive electrodes of the two electrodes are connected; one end of the Load is connected with the point O of the middle point of the bridge arm of the main switch, and the other end is connected with the first voltage-dividing capacitor Cd1And a second voltage dividing capacitor Cd2Are connected with each other; resonant inductor Lr1One end of the auxiliary converter transformer is connected with the midpoint O of the main switch bridge arm, and the other end of the auxiliary converter transformer is connected with the auxiliary side first winding T of the auxiliary converter transformer2The different name ends are connected; auxiliary side first winding T of auxiliary converter transformer2And a first commutation diode Dc1Anode of (2), first freewheeling diode Dx1The negative electrodes are connected; resonant inductor Lr2One end of the auxiliary converter transformer is connected with the midpoint O of the main switch bridge arm, and the other end of the auxiliary converter transformer is connected with the secondary side second winding T of the auxiliary converter transformer3The same name end of the terminal is connected; secondary secondary winding T of auxiliary converter transformer3And a second commutation diode Dc2Negative electrode of (1), second freewheeling diode Dx2The positive electrodes of the two electrodes are connected; first auxiliary switch tube Sa1Source electrode of and second auxiliary switch tube Sa2The drain electrode of the converter auxiliary circuit is connected with a point Q, and the two switching tubes form an advanced bridge arm AC-Lead of the converter auxiliary circuit; third auxiliary switch tube Sa3Source electrode of and fourth auxiliary switch tube Sa4The drain electrode of the converter auxiliary circuit is connected with the R point, and the two switching tubes form a hysteresis bridge arm AC-Lag of the converter auxiliary circuit; first auxiliary switch tube Sa1Drain electrode of the first auxiliary switch tube Sa3Drain electrode of and auxiliary power supply VAUXIs connected with an auxiliary power supply VAUXAnd a second auxiliary switch tube Sa2Source electrode, fourth auxiliary switchClosing pipe Sa4The source electrodes of the two-way transistor are connected; primary winding T of auxiliary converter transformer1The homonymous end of the leading auxiliary switch bridge arm is connected with a midpoint Q point of the leading auxiliary switch bridge arm, and the heteronymous end of the leading auxiliary switch bridge arm is connected with a midpoint R point of the lagging auxiliary switch bridge arm; excitation inductance LmIs connected in parallel with the primary winding T of the auxiliary converter transformer1Two ends; auxiliary side first winding T of auxiliary converter transformer2And a second winding T3Has the same number of turns, and assists the primary winding T of the converter transformer1Number of turns and T2Or T3The turn ratio of (D) is 1/n, and the first freewheeling diode Dx1And a second freewheeling diode Dx2Has the effect of being at the first commutation diode Dc1And a second commutation diode Dc2Providing follow current paths for reverse current in reverse recovery process, wherein the follow current paths are respectively T2→Lr1→S2→DX1→T2And T3→DX2→S1→Lr2→T3。
2. A phase-correlated magnetizing current symmetrically reset auxiliary resonant commutating pole inverter of claim 1, characterized by:
main switch tube S1-S2The body parasitic capacitance and the external parallel absorption capacitance C1-C2The values are the same, and then C is used in the formulam_ossIs represented by Cm_oss＝C1＝C2Auxiliary switch tube Sa1-Sa4The body parasitic capacitance and the external parallel absorption capacitance Ca1-Ca4The values are the same, and then C is used in the formulaa_ossRepresents: ca_oss＝Ca1＝Ca2＝Ca3＝Ca4，iLoadFor the instantaneous value of the current through the load, ILoadEffective value of alternating current, V, for the current through the LoadDCIs a direct-current power supply voltage,
when the load current is positive, the working mode and the switching time interval are as follows:
the circuit is in a steady state, S2、Sa1、Sa3In the on state, S1、Sa2、Sa4In an off state; freewheeling diode Dx1、Dx2The anti-parallel diode of the switching tube is in a turn-off state;
t0at time, turn off Sa3；
Sa3Delay DP1 after turn-off, turn on Sa4；
Figure FDA0003262366190000011
Sa4Delay DP2 after switching on, turn off S2；
Figure FDA0003262366190000012
S2Delay DP3 after shutdown, turn off Sa1；
Figure FDA0003262366190000021
Sa1Delay DP4 after turn-off, turn on Sa2；
Figure FDA0003262366190000022
Sa2Delay DP5 after conduction, turn on S1；
Figure FDA0003262366190000023
S1Delay after conduction TonTurn off S1Wherein T isonIs a main loop switch S2On-time of (d);
S1delay DP6 after turn-off, turn on S2；
Figure FDA0003262366190000024
At t0Time of day, Sa3Delay after shutdown TSW/2, turn off Sa4Wherein T isswIs the switching period of the main switch;
Sa4delay DP7 after turn-off, turn on Sa3；
Figure FDA0003262366190000025
Sa3Delay DP8 after switching on, turn off Sa2；
Figure FDA0003262366190000026
Off Sa2Delay DP9, turn on Sa1；
Figure FDA0003262366190000027
The working mode and the switching time interval when the load current is negative are:
the circuit is in a steady state, S1、Sa1、Sa3In the on state, S2、Sa2、Sa4In an off state; freewheeling diode Dx1、Dx2The anti-parallel diode of the switching tube is in a turn-off state;
t0at time, turn off Sa3；
Sa3DN1 is delayed after the switch-off, and S is conducteda4；
Figure FDA0003262366190000028
Sa4DN2 delay after conduction, offBroken S1；
Figure FDA0003262366190000029
S1Delay DP3 after shutdown, turn off Sa1；
Figure FDA00032623661900000210
Sa1Delay DP4 after turn-off, turn on Sa2；
Figure FDA0003262366190000031
Sa2Delay DP5 after conduction, turn on S2；
Figure FDA0003262366190000032
S2Delay after conduction TonTurn off S2Wherein T isonIs a main loop switch S2On-time of (d);
S2delay DP6 after turn-off, turn on S1；
Figure FDA0003262366190000033
At t0Time of day, Sa3Delay after shutdown TSW/2Turn off Sa4Wherein T isswIs the switching period of the main switch;
Sa4DN7 is delayed after the switch-off, and S is conducteda3；
Figure FDA0003262366190000034
Sa3DN8 is delayed after conduction and S is turned offa2；
Figure FDA0003262366190000035
Off Sa2Delay DN9, turn on Sa1；
Figure FDA0003262366190000036
Wherein the following parameters are input quantities: vAUXIs the auxiliary supply voltage; t is1A_minIs Sa4Shortest ZVS on-time; t is3BIs S1(S2) Shortest turn-on time; i isrThe part of the commutation current peak value exceeding the load current; v'AUXIs the secondary side voltage of the transformer; l isrIs a commutation inductance; l ismIs an excitation inductor;
Figure FDA0003262366190000037
the value of the exciting current before the current conversion of the auxiliary switch is obtained;
Figure FDA0003262366190000038
Figure FDA0003262366190000039
Figure FDA00032623661900000310
Figure FDA0003262366190000041
wherein T is13_minAfter neglecting the current change before charging the commutation current, iLoadWhen t is 01-t3The time interval of (c); t is1A_minWhen the load current is 0, Sa4ZVS on time T1-AA value of (d);
Figure FDA0003262366190000042
3. a phase-correlated magnetizing current symmetrically reset auxiliary resonant commutating pole inverter of claim 2, characterized by:
the specific description of each mode and the calculation process of the interval time when the output current is positive are as follows:
mode 1, t<t0: the circuit is in a steady state, S2In a conducting state; load current ILoadBy S2Afterflow; sa1、Sa3Conducting, exciting current iLmBy Sa1、Sa3Free flow of value of
Figure FDA0003262366190000043
Mode 2, t0-t1：t0At time, turn off Sa3(ii) a Commutation inductor LrThrough a transformer and an excitation inductor LmAfter being connected in parallel with an auxiliary capacitor Ca3、Ca4Resonance occurs, and the potential of the R point drops; current of current conversion
Figure FDA0003262366190000044
Increase from zero; excitation current
Figure FDA0003262366190000045
Changing to the positive direction;
this mode Sa3Voltage v acrossSa3And primary winding current
Figure FDA0003262366190000046
The expression is as follows:
Figure FDA0003262366190000047
Figure FDA0003262366190000048
exciting current according to the relation between instantaneous value of inductive current and integral of terminal voltage and initial value of current
Figure FDA0003262366190000049
And the current of the current converter
Figure FDA00032623661900000410
Figure FDA00032623661900000411
Figure FDA00032623661900000412
Wherein ω isaFor resonant angular frequency:
Figure FDA00032623661900000413
at t1Time of day, Sa3Voltage resonance at both ends to VAUXThe time according to the present resonance mode is:
Figure FDA00032623661900000414
mode 3, t1-t2：t1Time of day, power on RThe position is reduced to 0, the switch S is assisteda4Is connected in parallel with the diode Da4Natural conduction, Sa4The ZVS commutation condition is achieved, the voltage at two ends of the excitation inductor is opposite to the current direction, and the magnitude of the excitation current is linearly reduced; the commutation current increases linearly; t is tAAt that moment, the primary winding current is reduced to zero, Sa4May be in the time period t1-tAIs ZVS on1Time of day tAThe time interval between the moments being T1-A；
The primary winding current in the mode is as follows:
Figure FDA0003262366190000051
auxiliary pipe Sa4The on-time of (c) is:
Figure FDA0003262366190000052
Sa3turn off to Sa4The on-time interval DP1 is:
Figure FDA0003262366190000053
the current conversion current is:
Figure FDA0003262366190000054
wherein: v'AUXIs the secondary side voltage of the transformer;
t2time of day, current of commutation
Figure FDA0003262366190000055
The value of (d) increases to a maximum value:
iLr(t2)＝Ir+iLoad (33)
wherein: i isrFor converting current
Figure FDA0003262366190000056
Part of the load current is exceeded
The mode duration is:
Figure FDA0003262366190000057
Sa4is conducted to S2The off-time interval DP2 is:
Figure FDA0003262366190000058
mode 4, t2-t3：t2At the moment, the main switch S2Turn-off, commutation current iLrPart I of the medium excess load currentrTo the capacitor C1Discharge C2Charging, and enabling the potential of the point O to start resonant rising;
potential v at point OOAnd a current of commutation iLrThe expression is as follows:
Figure FDA0003262366190000059
Figure FDA00032623661900000510
wherein:
Figure FDA00032623661900000511
t3at that time, the potential at the point O rises to VDC-V′AUX(ii) a The mode duration is:
Figure FDA0003262366190000061
wherein:
Figure FDA0003262366190000062
S1is conducted to Sa1The off-time interval DP3 is:
DP3＝T2-3 (46)
mode 5, t3-t5：t3At that time, the potential at the point O rises to VDC-V′AUXTurn off Sa1Excitation current iLmIs increased to
Figure FDA0003262366190000063
Excitation current
Figure FDA0003262366190000064
To Ca1Charging Ca2Discharging, and enabling the potential of the point Q to start to approximately linearly decrease; t is t4At the moment, the potential at the point Q is reduced to 0, and the switch S is assisteda2Is connected in parallel with the diode Da2Conducting naturally;
t3-t4the duration is:
Figure FDA0003262366190000065
Sa1turn off to Sa2The on-time interval DP4 is:
DP4＝T3-4 (42)
mode 6, t5-t6: at t5At the moment, the main switch S1Is connected in parallel with the diode D1Natural conduction, S1The ZVS commutation condition is met; current of commutation iLrLinear decrease, tBAt the moment, the current i is convertedLrDown to the load current iLoad(ii) a Main switch tube S1May be in the time period t5-tBBetween the two switches to realize ZVS on5Time tBThe time interval between the moments being T5-B；
t5At that time, the potential at the point O rises to VDC；S1The commutation time is as follows:
Figure FDA0003262366190000066
S1ZVS on mode duration is:
Figure FDA0003262366190000067
Sa2is conducted to S1The on-time interval DP5 is:
Figure FDA0003262366190000068
mode 7, t6-t8：tB-t6Determined by PWM control requirement, t6At time, turn off S1Load current iLoadTo C1Charging, C2Discharging, and linearly reducing the potential of the O point; t is t7At the moment, the potential at the point O is reduced to 0, and the main switch S2Is connected in parallel with the diode D2Conducting naturally; s2Can be at t7Then controlling the conduction;
t6-t7the duration is:
Figure FDA0003262366190000069
S1turn off to S2The on-time interval DP6 is:
DP6＝T6-7 (48)
mode 8, t8-t9：t8At time, turn off Sa4Exciting current
Figure FDA00032623661900000610
To Ca4Charging Ca3Discharging, and the potential of the R point begins to rise;
potential v at point RRAnd current
Figure FDA00032623661900000611
The expression is as follows:
Figure FDA0003262366190000071
Figure FDA0003262366190000072
wherein:
Figure FDA0003262366190000073
at t9At the moment, the potential at the point R resonates to VAUXThe pattern duration is:
Figure FDA0003262366190000074
mode 9, t9-t10：t9At that time, the potential at the point R rises to VAUXAuxiliary switch Sa3Is connected in parallel with the diode Da3Natural conduction, Sa3Reach ZVS commutation condition, tCAt the moment, the excitation current is reduced to zero; sa3Can be at t9Time tCControl conduction between moments, t9Time tCThe time interval between the moments being T9-C；
The excitation current in the mode is as follows:
Figure FDA0003262366190000075
Sa3the on-time of (c) is:
Figure FDA0003262366190000076
Sa4turn off to Sa3The on-time interval DP7 is:
Figure FDA0003262366190000077
t10time of day, exciting current
Figure FDA0003262366190000078
Is increased to
Figure FDA0003262366190000079
The mode duration is:
Figure FDA00032623661900000710
Sa3is conducted to Sa2The off-time interval DP8 is:
Figure FDA00032623661900000711
mode 10, t10-t11：t10At time, turn off Sa2(ii) a Auxiliary converter transformer excitation current
Figure FDA00032623661900000712
To Ca2Charging Ca1Discharge, Q point potentialApproximately linear rise; t is t11At that time, the potential at the point P rises to VAUXAuxiliary switch Sa1Is connected in parallel with the diode Da1Conducting naturally; controlling conduction S before the next switching cyclea1；
The mode duration is:
Figure FDA00032623661900000713
Sa2turn off to Sa1The on-time interval DP9 is:
DP9＝T10-11 (59)
the specific description of each mode and the calculation process of the interval time when the output current is negative are as follows:
mode 1, t<t0: the circuit is in a steady state, S1In a conducting state; load current ILoadBy S1Follow current, Sa1、Sa3Conducting, exciting current iLmBy Sa1、Sa3Free flow of value of
Figure FDA0003262366190000081
Mode 2, t0-t1：t0At time, turn off Sa3(ii) a Commutation inductor LrThrough a transformer and an excitation inductor LmAfter being connected in parallel with an auxiliary capacitor Ca3、Ca4Resonance occurs, the potential at the R point drops, and current is converted
Figure FDA0003262366190000082
Increase from zero; excitation current
Figure FDA0003262366190000083
Changing to the positive direction;
this mode Sa3Voltage v acrossSa3And primary winding current
Figure FDA0003262366190000084
The expression is as follows:
Figure FDA0003262366190000085
Figure FDA0003262366190000086
exciting current according to the relation between instantaneous value of inductive current and integral of terminal voltage and initial value of current
Figure FDA0003262366190000087
And the current of the current converter
Figure FDA0003262366190000088
Figure FDA0003262366190000089
Figure FDA00032623661900000810
Wherein ω isaFor resonant angular frequency:
Figure FDA00032623661900000811
at t1Time of day, Sa3Voltage resonance at both ends to VAUXThe time according to the present resonance mode is:
Figure FDA00032623661900000812
mode 3, t1-t2：t1At the moment, the potential at the point R is reduced to 0, and the auxiliary switch Sa4Is connected in parallel with the diode Da4Natural conduction, Sa4The ZVS commutation condition is achieved, the voltage at two ends of the excitation inductor is opposite to the current direction, and the magnitude of the excitation current is linearly reduced; the commutation current increases linearly; t is tAAt that moment, the primary winding current is reduced to zero, Sa4May be in the time period t1-tAIs ZVS on1Time tAThe time interval between the moments being T1-A；
The primary winding current in the mode is as follows:
Figure FDA00032623661900000813
auxiliary pipe Sa4The on-time of (c) is:
Figure FDA00032623661900000814
Sa3turn off to Sa4On-time interval DN1 is;
Figure FDA0003262366190000091
the current conversion current is:
Figure FDA0003262366190000092
wherein: v'AUXIs the secondary side voltage of the transformer;
t2time of day, current of commutation
Figure FDA0003262366190000093
The value of (d) increases to a maximum value:
iLr(t2)＝Ir+iLoad (70)
wherein: i isrFor converting current
Figure FDA0003262366190000094
Part of the load current is exceeded
Duration T1-2Comprises the following steps:
Figure FDA0003262366190000095
Sa4is conducted to S1The off-time interval DN2 is:
Figure FDA0003262366190000096
mode 4, t2-t3：t2At the moment, the main switch S1Turn-off, commutation current iLrPart I of the medium excess load currentrTo the capacitor C2Discharge C1Charging, and the potential of the point O starts to decrease in resonance;
potential v at point OOAnd a current of commutation iLrThe expression is as follows:
Figure FDA0003262366190000097
Figure FDA0003262366190000098
wherein:
Figure FDA0003262366190000099
t3at that time, the potential at point O is lowered to V'AUX(ii) a The mode duration is:
Figure FDA00032623661900000910
wherein:
Figure FDA00032623661900000911
S1is conducted to Sa1The off-time interval DN3 is:
DN3＝T2-3 (78)
mode 5, t3-t5：t3At that time, the potential at point O is lowered to V'AUXTurn off Sa1Excitation current iLmIs increased to
Figure FDA0003262366190000101
Excitation current
Figure FDA0003262366190000102
To Ca1Charging Ca2Discharging, and enabling the potential of the point Q to start to approximately linearly decrease; t is t4At the moment, the potential at the point Q is reduced to 0, and the switch S is assisteda2Is connected in parallel with the diode Da2Conducting naturally;
t3-t4the duration is:
Figure FDA0003262366190000103
Sa1turn off to Sa2The on-time interval DN4 is:
DN4＝T3-4 (80)
mode 6, t5-t6: at t5At the moment, the main switch S2Is connected in parallel with the diode D2Natural conduction, S2The ZVS commutation condition is met; current of commutation iLrLinear decrease, tBAt the moment, the current i is convertedLrDown to the load current iLoad(ii) a Main switchClosing pipe S2May be in the time period t5-tBBetween the two switches to realize ZVS on5Time tBThe time interval between the moments being T5-B；
t5At that time, the potential at the point O rises to VDC；S2The commutation time is as follows:
Figure FDA0003262366190000104
S2ZVS on mode duration is:
Figure FDA0003262366190000105
Sa2is conducted to S1The on-time interval DN5 is:
Figure FDA0003262366190000106
mode 7, t6-t8：tB-t6Determined by PWM control requirement, t6At time, turn off S2Load current iLoadTo C2Charging, C1Discharging, and linearly increasing the potential of the O point; t is t7At that time, the potential at the point O rises to VDCMain switch S1Is connected in parallel with the diode D1Conducting naturally; s1Can be at t7Then controlling the conduction;
t6-t7the duration is:
Figure FDA0003262366190000107
S1turn off to S2The on-time interval DN6 is:
DN6＝T6-7 (85)
mode 8, t8-t9：t8At time, turn off Sa4Exciting current
Figure FDA0003262366190000108
To Ca4Charging Ca3Discharging, and the potential of the R point begins to rise;
potential v at point RRAnd current
Figure FDA0003262366190000109
The expression is as follows:
Figure FDA00032623661900001010
Figure FDA00032623661900001011
wherein:
Figure FDA00032623661900001012
at t9At the moment, the potential at the point R resonates to VAUXThe pattern duration is:
Figure FDA0003262366190000111
mode 9, t9-t10：t9At that time, the potential at the point R rises to VAUXAuxiliary switch Sa3Is connected in parallel with the diode Da3Natural conduction, Sa3Reach ZVS commutation condition, tCAt the moment, the excitation current is reduced to zero; sa3Can be at t9Time tCControl conduction between moments, t9Time tCThe time interval between the moments being T9-C；
The excitation current in the mode is as follows:
Figure FDA0003262366190000112
Sa3the on-time of (c) is:
Figure FDA0003262366190000113
Sa4turn off to Sa3The on-time interval DN7 is:
Figure FDA0003262366190000114
t10time of day, exciting current
Figure FDA0003262366190000115
Is increased to
Figure FDA0003262366190000116
The mode duration is:
Figure FDA0003262366190000117
Sa3is conducted to Sa2The off-time interval DN8 is:
Figure FDA0003262366190000118
mode 10, t10-t11：t10At time, turn off Sa2(ii) a Auxiliary converter transformer excitation current
Figure FDA0003262366190000119
To Ca2Charging Ca1Discharge, Q point potential is closeA quasi-linear rise; t is t11At that time, the potential at the point P rises to VAUXAuxiliary switch Sa1Is connected in parallel with the diode Da1Conducting naturally; controlling conduction S before the next switching cyclea1；
The mode duration is:
Figure FDA00032623661900001110
Sa2turn off to Sa1The on-time interval DN9 is:
DN9＝T10-11 (96)。
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