CN107979284B - Method and device for estimating working mode of 3-Z network boost converter - Google Patents

Method and device for estimating working mode of 3-Z network boost converter Download PDF

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CN107979284B
CN107979284B CN201711486727.5A CN201711486727A CN107979284B CN 107979284 B CN107979284 B CN 107979284B CN 201711486727 A CN201711486727 A CN 201711486727A CN 107979284 B CN107979284 B CN 107979284B
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working mode
boost converter
network
network boost
boundary
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CN107979284A (en
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申宇
徐匡一
谢文静
王奕森
李盈婷
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Southwest 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
    • H02M3/00—Conversion of dc power input into dc power output
    • H02M3/02—Conversion of dc power input into dc power output without intermediate conversion into ac
    • H02M3/04—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters
    • H02M3/10—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
    • H02M3/145—Conversion of dc power input into dc power output without intermediate conversion into ac 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
    • H02M3/155—Conversion of dc power input into dc power output without intermediate conversion into ac 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
    • H02M3/156—Conversion of dc power input into dc power output without intermediate conversion into ac 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 with automatic control of output voltage or current, e.g. switching regulators
    • 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
    • H02M3/02—Conversion of dc power input into dc power output without intermediate conversion into ac
    • H02M3/04—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters
    • H02M3/10—Conversion of dc power input into dc power output without intermediate conversion into ac by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
    • H02M3/145—Conversion of dc power input into dc power output without intermediate conversion into ac 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
    • H02M3/155—Conversion of dc power input into dc power output without intermediate conversion into ac 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
    • H02M3/156—Conversion of dc power input into dc power output without intermediate conversion into ac 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 with automatic control of output voltage or current, e.g. switching regulators
    • H02M3/1566—Conversion of dc power input into dc power output without intermediate conversion into ac 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 with automatic control of output voltage or current, e.g. switching regulators with means for compensating against rapid load changes, e.g. with auxiliary current source, with dual mode control or with inductance variation

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  • Dc-Dc Converters (AREA)

Abstract

The invention discloses a method, a device and equipment for estimating the working mode of a 3-Z network boost converter and a computer readable storage medium, wherein the method comprises the following steps: acquiring a load value, a switching duty ratio, a switching period and inductance values of the 3-Z network boost converter; calculating boundary conditions of the 3-Z network boost converter in each working mode based on the load value, the switching duty ratio, the switching period and each inductance value; and if the boundary condition corresponding to a certain working mode meets the preset constraint condition of the working mode, determining the working mode of the 3-Z network boost converter as the working mode of which the boundary condition meets the corresponding constraint condition. Therefore, the working mode of the 3-Z network boost converter can be estimated in real time at low cost.

Description

Method and device for estimating working mode of 3-Z network boost converter
Technical Field
The present invention relates to the field of boost converter technologies, and in particular, to a method, an apparatus, a device, and a computer-readable storage medium for estimating an operating mode of a 3-Z network boost converter.
Background
At a high duty ratio (more than 80%), a classical Boost converter has large loss caused by parasitic parameters of a capacitor, an inductor and a switching device, so that the Boost multiple of the classical Boost converter is generally less than 6, and the Boost multiple cannot meet the current engineering requirements.
In recent years, research on secondary Boost converters with high Boost multiples has been advanced, for example, a 3-Z network Boost converter as shown in fig. 1, in which The First Boost represents a First-stage network Boost circuit, The second Boost represents a second-stage network Boost circuit, Q is a switching device (switch for short), and an inductor L is a switch1And L2Inductance of the first-stage network booster circuit, L3And L4An inductance of the second stage network booster circuit, where L1＝L2，L3＝L4，D3To D11Denotes a diode, R is a load, C1、C2Represents a capacitance; however, as multiple stages of inductors are connected in series and in parallel in fig. 1, the 3-Z network boost converter has more operating modes and can be continuously switched with the change of external conditions, thereby causing the changes of input and output impedance and boost ratio; in order to enable the 3-Z network boost converter to be in an optimal working state, the working mode of the 3-Z network boost converter can be estimated and controlled; although the current according to its inductanceThe waveform estimates the operating mode of the converter, but measuring the current waveform will add significant cost and system complexity due to the fast switching.
In summary, how to provide a low-cost scheme capable of estimating the operation mode of the 3-Z network boost converter in real time is an urgent problem to be solved by those skilled in the art.
Disclosure of Invention
The invention aims to provide a method, a device, equipment and a computer readable storage medium for estimating the working mode of a 3-Z network boost converter, which can effectively estimate the working mode of the 3-Z network boost converter in real time while reducing the cost and the complexity of a system.
In order to achieve the above purpose, the invention provides the following technical scheme:
a method of estimating the operating mode of a 3-Z network boost converter, comprising:
acquiring a load value, a switching duty ratio, a switching period and inductance values of the 3-Z network boost converter;
calculating boundary conditions of the 3-Z network boost converter in each working mode based on the load value, the switching duty ratio, the switching period and each inductance value;
and if the boundary condition corresponding to a certain working mode meets the preset constraint condition of the working mode, determining the working mode of the 3-Z network boost converter as the working mode of which the boundary condition meets the corresponding constraint condition.
Preferably, the calculating the boundary condition of the 3-Z network boost converter in each operation mode comprises:
calculating the boundary condition of the 3-Z network boost converter in the first operation mode according to the following formula
Figure GDA0002539038530000021
And
Figure GDA0002539038530000022
Figure GDA0002539038530000023
calculating the boundary condition of the 3-Z network boost converter in the second operation mode according to the following formula
Figure GDA0002539038530000024
And D2_C-D：
Figure GDA0002539038530000025
Calculating the boundary condition of the 3-Z network boost converter in the third working mode according to the following formula
Figure GDA0002539038530000026
And D2_D-C：
Figure GDA0002539038530000027
Wherein,
Figure GDA0002539038530000028
calculating the boundary condition D of the 3-Z network boost converter in the fourth working mode according to the following formula2_D-DAnd D'2_D-D：
Figure GDA0002539038530000029
Wherein,
Figure GDA00025390385300000210
the first working mode is that a first-stage network boost circuit of the 3-Z network boost converter is in a continuous-flow working mode CCM (continuous-flow working mode), a second-stage network boost circuit is in a CCM (continuous-flow working mode), the second working mode is that the first-stage network boost circuit of the 3-Z network boost converter is in the CCM, the second-stage network boost circuit is in a cutoff working mode DCM, and the first working mode is that the first-stage network boost circuit of the 3-Z network boost converter is inThe third working mode is that the first-stage network boost circuit of the 3-Z network boost converter is in DCM, the second-stage network boost circuit is in CCM, and the fourth working mode is that the first-stage network boost circuit of the 3-Z network boost converter is in DCM, the second-stage network boost circuit is in DCM; k1＝L1,2/(RTe)，K2＝L3,4/(RTe)，L1,2Is the inductance value, L, of the first stage network booster circuit3,4The inductance value of the second-stage network booster circuit, R is the load value, TeFor a switching period, D1Is the switching duty cycle;
correspondingly, judging whether the calculated boundary condition corresponding to each working mode meets the constraint condition of the corresponding working mode, including:
when in use
Figure GDA0002539038530000031
And is
Figure GDA0002539038530000032
The boundary condition corresponding to the first working mode meets the constraint condition of the first working mode;
when in use
Figure GDA0002539038530000033
And D1+D2_C-DIf the number is less than 1, the boundary condition corresponding to the second working mode meets the constraint condition of the second working mode;
when in use
Figure GDA0002539038530000034
And D1+D2_D-CIf the number is less than 1, the boundary condition corresponding to the third working mode meets the constraint condition of the third working mode;
when D is present1+D2_D-D< 1 and D1+D2′_D-DIf the number is less than 1, the boundary condition corresponding to the fourth working mode accords with the constraint condition of the fourth working mode.
Preferably, the method further comprises the following steps:
determining a search area, wherein the abscissa of the search area is a switching duty ratio D1The ordinate is the load value R, D1∈[D1 1,D1 2]，R∈[R1,R2]Wherein D is1 1、D1 2、R1And R2Given parameter values;
selecting R and D at equal intervals in the search area1And calculating each group of R and D correspondingly selected by the 3-Z network boost converter1The operating mode of (1);
based on each group R and D selected1And each group R and D1The corresponding working mode divides the search area into a plurality of subareas, and each subarea corresponds to one working mode;
and drawing a boundary line in the search area so as to separate each subarea area by using the boundary line to obtain a boundary value curve of the working mode of the 3-Z network boost converter.
Preferably, after obtaining the boundary value curve of the operation mode of the 3-Z network boost converter, the method further includes:
obtaining a value to be measured (D) for a corresponding operating mode to be determined1x,Ry)，D1x∈[D1 1,D1 2]，Ry∈[R1,R2]And determining a point corresponding to the value to be measured in the boundary value curve, and determining a working mode corresponding to the sub-region to which the point belongs as the working mode corresponding to the value to be measured.
Preferably, after determining the working mode corresponding to the value to be measured, the method further includes:
and if the working modes corresponding to a plurality of different values to be measured are different working modes, marking points corresponding to each value to be measured in the boundary value curve, and marking the sequence of the corresponding points in the boundary value curve according to the sequence of obtaining each value to be measured.
Preferably, after obtaining the boundary value curve of the operation mode of the 3-Z network boost converter, the method further includes:
and displaying a boundary value curve of the working mode of the 3-Z network boost converter.
Preferably, after determining the operation mode of the 3-Z network boost converter as the operation mode whose boundary condition meets the corresponding constraint condition, the method further includes:
judging whether the working mode of the 3-Z network boost converter is an expected working mode or not, if so, determining that the working mode of the 3-Z network boost converter is in accordance with the expectation, if not, adjusting all inductance values and switching duty ratios of the 3-Z network boost converter, and re-estimating the working mode of the 3-Z network boost converter based on the adjusted inductance values and switching duty ratios until the working mode of the 3-Z network boost converter is determined to be the expected working mode.
An apparatus for estimating the operating mode of a 3-Z network boost converter, comprising:
an acquisition module to: acquiring a load value, a switching duty ratio, a switching period and inductance values of the 3-Z network boost converter;
a calculation module to: calculating boundary conditions of the 3-Z network boost converter in each working mode based on the load value, the switching duty ratio, the switching period and each inductance value;
a determination module configured to: and if the boundary condition corresponding to a certain working mode meets the preset constraint condition of the working mode, determining the working mode of the 3-Z network boost converter as the working mode of which the boundary condition meets the corresponding constraint condition.
An apparatus for estimating the operating mode of a 3-Z network boost converter, comprising:
a memory for storing a computer program;
a processor for implementing the steps of the method of estimating the operating mode of a 3-Z network boost converter as described in any one of the above when said computer program is executed.
A computer readable storage medium having stored thereon a computer program which, when executed by a processor, carries out the steps of a method of estimating an operating mode of a 3-Z network boost converter as claimed in any one of the preceding claims.
The invention provides a method, a device, equipment and a computer readable storage medium for estimating the working mode of a 3-Z network boost converter, wherein the method comprises the following steps: acquiring a load value, a switching duty ratio, a switching period and inductance values of the 3-Z network boost converter; calculating boundary conditions of the 3-Z network boost converter in each working mode based on the load value, the switching duty ratio, the switching period and each inductance value; and if the boundary condition corresponding to a certain working mode meets the preset constraint condition of the working mode, determining the working mode of the 3-Z network boost converter as the working mode of which the boundary condition meets the corresponding constraint condition. In the technical scheme disclosed by the application, in order to realize the estimation of the working mode of the 3-Z network boost converter, the load value, the switching duty ratio, the switching period and each inductance value of the 3-Z network boost converter are obtained, the boundary conditions of the 3-Z network boost converter corresponding to each working mode are calculated based on the obtained parameter values, and the working mode of the 3-Z network boost converter is determined by comparing the boundary conditions with the constraint conditions, so that the real-time judgment of the working mode can be realized only by obtaining the relevant parameters in the 3-Z network boost converter, the current waveform does not need to be detected in real time to estimate the working mode of the 3-Z network boost converter, and the cost and the system complexity are greatly reduced.
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In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to the provided drawings without creative efforts.
FIG. 1 is a circuit diagram of a 3-Z network boost converter according to the background art;
FIG. 2 is a general flowchart of a method for estimating the operating mode of a 3-Z network boost converter according to an embodiment of the present invention;
FIG. 3 is a flowchart illustrating a method for estimating an operating mode of a 3-Z network boost converter according to an embodiment of the present invention;
fig. 4 is a waveform diagram of current and voltage drop of two sets of inductors of the boost converter in the first operation mode in the method for estimating the operation mode of the 3-Z network boost converter according to the embodiment of the present invention;
fig. 5 is a waveform diagram of current and voltage drop of two sets of inductors of the boost converter in the second operation mode in the method for estimating the operation mode of the 3-Z network boost converter according to the embodiment of the present invention;
fig. 6 is a waveform diagram of current and voltage drop of two sets of inductors of the boost converter in the third operating mode in the method for estimating the operating mode of the 3-Z network boost converter according to the embodiment of the present invention;
fig. 7 is a waveform diagram of current and voltage drop of two sets of inductors of the boost converter in the fourth operating mode in the method for estimating the operating mode of the 3-Z network boost converter according to the embodiment of the present invention;
FIG. 8 is a flow chart illustrating a boundary value curve in a method for estimating an operating mode of a 3-Z network boost converter according to an embodiment of the present invention;
FIG. 9 shows an exemplary method for estimating an operating mode of a 3-Z network boost converter, where L is3,4A boundary value curve at 7 × 10-4H;
FIG. 10 shows an exemplary method for estimating an operating mode of a 3-Z network boost converter, where L is3,4Boundary value curve at 5 × 10-4H;
FIG. 11 shows an example of a method for estimating the operating mode of a 3-Z network boost converter according to an embodiment of the present invention3,4A boundary value curve at 3 × 10-4H;
fig. 12 is a schematic structural diagram of an apparatus for estimating an operation mode of a 3-Z network boost converter according to an embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
Referring to fig. 2, a general flowchart of a method for estimating an operation mode of a 3-Z network boost converter according to an embodiment of the present invention is shown, which may include:
s11: and acquiring a load value, a switching duty ratio, a switching period and inductance values of the 3-Z network boost converter.
The 3-Z network boost converter (referred to as a boost converter for short) in the present application refers to the circuit shown in fig. 1, where the inductor in each stage of network boost circuit is generally an energy storage inductor, and it is considered that the current and the voltage drop of the inductors L1 and L2 are the same, and the current and the voltage drop of the inductors L3 and L4 are the same, correspondingly, the inductance value of the first stage network boost circuit obtained in the present application is the value of the inductor L1 or L2, the inductance value of the second stage network boost circuit is the value of the inductor L3 or L4, the switching duty cycle is the conduction duty cycle of the switch Q, the switching cycle is the conduction cycle of the switch Q, and the load value is the value of the load R. The change of the duty ratio of the boost converter (switch Q in this application) and the value of the load (R) can change the current states of the inductors L1 to L4, namely, the free-wheeling state (CCM) and the cut-off state (DCM); thus, the boost converter has four operating modes, respectively:
a first operating mode: the first-stage network booster circuit is in CCM, and the second-stage network booster circuit is in CCM;
a second working mode: the first-stage network booster circuit is in CCM, and the second-stage network booster circuit is in DCM;
the third working mode is as follows: the first-stage network booster circuit is positioned in DCM, and the second-stage network booster circuit is positioned in CCM;
the fourth working mode: the first stage network boost circuit is in DCM, and the second stage network boost circuit is in DCM.
S12: and calculating boundary conditions of the 3-Z network boost converter in each working mode based on the load value, the switching duty ratio, the switching period and each inductance value.
After the working principle of the boost converter is comprehensively analyzed in advance, a boundary condition calculation formula of the boost converter in each working mode can be obtained, wherein the boundary condition of the boost converter in each working mode is calculated, the boost converter can be assumed to be in each working mode respectively, then a static working point corresponding to the working mode in which the boost converter is located is calculated, and then the corresponding boundary condition is obtained based on the static working point; that is, assuming that the boost converter is in the first operating mode, the boundary condition of the first operating mode is calculated according to the calculation method corresponding to the first operating mode, and if the boost converter is in the second operating mode, the boundary condition of the second operating mode is calculated according to the calculation method corresponding to the second operating mode, and so on.
S13: and if the boundary condition corresponding to a certain working mode meets the preset constraint condition of the working mode, determining the working mode of the 3-Z network boost converter as the working mode of which the boundary condition meets the corresponding constraint condition.
And when the boundary condition corresponding to a certain working mode is judged to be in accordance with the corresponding constraint condition, determining the working mode of the converter 3-Z network boost converter as the working mode of which the boundary condition is in accordance with the corresponding constraint condition. Of course, it may also happen that, due to an error in obtaining parameters or an error in the implementation process of other steps, and the like, there is no condition that the boundary condition corresponding to one of the working modes meets the corresponding constraint condition (that is, the boundary condition corresponding to each of the working modes does not meet the corresponding constraint condition), at this time, the step S11 may be executed again, and then the working mode of the 3-Z network boost converter is re-estimated.
In the technical scheme disclosed by the application, in order to realize the estimation of the working mode of the 3-Z network boost converter, the load value, the switching duty ratio, the switching period and each inductance value of the 3-Z network boost converter are obtained, the boundary conditions of the 3-Z network boost converter corresponding to each working mode are calculated based on the obtained parameter values, and the working mode of the 3-Z network boost converter is determined by comparing the boundary conditions with the constraint conditions of the corresponding working modes, so that the real-time judgment of the working mode can be realized only by obtaining the relevant parameters in the 3-Z network boost converter, the current waveform does not need to be detected in real time to estimate the working mode of the 3-Z network boost converter, and the cost and the system complexity are greatly reduced.
The method for estimating the working mode of the 3-Z network boost converter provided by the embodiment of the invention is used for calculating the boundary condition of the 3-Z network boost converter in each working mode, and comprises the following steps:
calculating the boundary condition of the 3-Z network boost converter in the first operation mode according to the following formula
Figure GDA0002539038530000081
And
Figure GDA0002539038530000082
Figure GDA0002539038530000083
calculating the boundary condition of the 3-Z network boost converter in the second operation mode according to the following formula
Figure GDA0002539038530000084
And D2_C-D：
Figure GDA0002539038530000085
Calculating the boundary condition of the 3-Z network boost converter in the third operation mode according to the following formula
Figure GDA0002539038530000086
And D2_D-C：
Figure GDA0002539038530000087
Wherein,
Figure GDA0002539038530000088
calculating the boundary condition D of the 3-Z network boost converter in the fourth operation mode according to the following formula2_D-DAnd D'2_D-D：
Figure GDA0002539038530000089
Wherein,
Figure GDA00025390385300000810
the first working mode is that the first-stage network boosting circuit of the 3-Z network boost converter is in CCM, the second-stage network boosting circuit is in CCM, the second working mode is that the first-stage network boosting circuit of the 3-Z network boost converter is in CCM, the second-stage network boosting circuit is in DCM, the third working mode is that the first-stage network boosting circuit of the 3-Z network boost converter is in DCM, the second-stage network boosting circuit is in CCM, and the fourth working mode is that the first-stage network boosting circuit of the 3-Z network boost converter is in DCM, the second-stage network boosting circuit is in DCM; k1＝L1,2/(RTe)，K2＝L3,4/(RTe)，L1,2Is the inductance value, L, of the first stage network booster circuit3,4The inductance value of the second-stage network booster circuit, R is the load value, TeFor a switching period, D1Is the switching duty cycle;
correspondingly, judging whether the calculated boundary condition corresponding to each working mode meets the constraint condition of the corresponding working mode, including:
when in use
Figure GDA0002539038530000091
And is
Figure GDA0002539038530000092
The boundary condition corresponding to the first working mode meets the constraint condition of the first working mode;
when in use
Figure GDA0002539038530000093
And D1+D2_C-DIf the boundary condition is less than 1, the boundary condition corresponding to the second working mode accords with the constraint condition of the second working mode;
when in use
Figure GDA0002539038530000094
And D1+D2_D-CIf the boundary condition corresponding to the third working mode is less than 1, the boundary condition corresponding to the third working mode accords with the constraint condition of the third working mode;
when D is present1+D2_D-D< 1 and D1+D′2_D-DIf the number is less than 1, the boundary condition corresponding to the fourth working mode accords with the constraint condition of the fourth working mode.
Correspondingly, a detailed flowchart of steps S11 to S13 may be as shown in fig. 3. Therefore, the calculation of the boundary conditions and the judgment of the working mode of the booster converter are accurately realized through the calculation method, the offline realization of the determination of the working mode of the booster converter can be realized, the requirements of users are met, and the system load type is further reduced.
Specifically, in the circuit shown in fig. 1, it is assumed that: inductor L1＝L2，L3＝L4(ii) a Switch Q and diode D3To D11Are all ideal devices. Therefore, the inductance L1And L2Are completely identical and are respectively represented as
Figure GDA0002539038530000095
And
Figure GDA0002539038530000096
similarly, the inductance L3And L4Are completely identical and are respectively represented as
Figure GDA0002539038530000097
And
Figure GDA0002539038530000098
in the following derivation, the period of the switch Q is Te；D1Is the on duty cycle of switch Q; d2And D'2For duty cycle of inductive freewheeling, in the second operating mode D2<1-D1(as shown in FIG. 3); vgAnd IgRepresenting the input voltage and current of the boost converter;
Figure GDA0002539038530000099
and
Figure GDA00025390385300000910
respectively represent capacitances C1And C2The terminal voltage of (a); vORepresenting the output terminal voltage of the converter; defining a coefficient K1And K2Is K1＝L1,2/(RTe) And K2＝L3,4/(RTe)。
Fig. 4 to 7 are graphs showing current and voltage drop waveforms of four inductors of the boost converter in four operation modes; the current, voltage and duty ratio symbols corresponding to four working modes are marked in the graph, and the ripple value and the average value of the current and the voltage can be visually determined; next, taking the fourth operation mode as an example, the derivation of the static operating point of the boost converter (the derivation processes of the following equations (1) to (8) are all performed for the fourth operation mode, and therefore the parameters involved therein are all parameters corresponding to the fourth operation mode, such as M1Represents M1_D-D、M2Represents M2_D-DAnd so on); the average current shown in fig. 7 is as shown in equations (1) and (2) according to the current assist equation:
Figure GDA0002539038530000101
Figure GDA0002539038530000102
by using the volt-second balance method of the inductor, the average voltage drop of the inductors L1 and L2 is zero, that is:
Figure GDA0002539038530000103
thereby obtaining the voltage gain M1 of the first stage network booster circuit:
Figure GDA0002539038530000104
similarly, the voltage gain M2 of the second stage network boost circuit can be obtained:
Figure GDA0002539038530000105
according to the law of conservation of energy, inductance L3And L4In [ D ]1Te,(D1+D2′)Te]The energy released in the time period is equal to the load R in one period TeThe energy consumption is high. Thus, the information about D is obtained2The quadratic equation of':
Figure GDA0002539038530000106
and obtaining:
Figure GDA0002539038530000107
wherein K2＝L3,4/(RTe) (ii) a Similarly, one can obtain information about D2The quadratic equation of (a):
Figure GDA0002539038530000111
and the solution thereof:
Figure GDA0002539038530000112
wherein K1＝L1,2/(RTe) Thus, duty cycle D2And D2', gain M1And M2And the current can be represented as D1As shown in table one. Similarly, the static operating points corresponding to the first to third operating modes are also listed in table one.
Table-static operating points corresponding to each operating mode
Figure GDA0002539038530000113
Next, boundary conditions of each operating mode are calculated, it should be noted that, in the derivation process of the following formulas (9) to (13), each parameter of the part is a parameter corresponding to the operating mode when calculation is performed for each operating mode, and for example, each parameter related to the formulas (9) to (10b) is a parameter corresponding to the first operating mode. The constraints on the current and voltage waveforms for each mode of operation can be seen in figures 4 to 7: the constraint for the first mode of operation is that half of the ripple current values of the inductors L1, L2 and L3, L4 should all be less than their average current value, i.e.:
Figure GDA0002539038530000121
corresponding to the first working mode in table I
Figure GDA0002539038530000122
And
Figure GDA0002539038530000123
formula (9) is substituted, thus obtaining the constraints of the first operating mode:
Figure GDA0002539038530000124
Figure GDA0002539038530000125
the constraints for the second mode of operation are that the inductors L3, L4 enter the off-state inductor and that the current ripple of L1, L2Half of the value should be less than its average value, i.e.:
Figure GDA0002539038530000126
expressing the inductive current and the gain corresponding to the second working mode
Figure GDA0002539038530000127
Figure GDA0002539038530000128
And
Figure GDA0002539038530000129
the constraints substituted for the second mode of operation may be:
Figure GDA00025390385300001210
D1+D2＜1 (11b)
the constraints for the third mode of operation are that half the ripple current values of the inductors L3, L4 should be less than their average value, and that the inductors L1, L2 enter the blocking state, i.e.:
Figure GDA00025390385300001211
D1+D2＜1 (12b)
the constraints for the fourth operating mode are that the inductances L1, L2 and L3, L4 all enter a current-blocking state, i.e.:
D1+D2＜1 (13a)
D1+D′2＜1 (13b)
since the boost converter shown in fig. 1 can only be in the same operation mode under the same conditions, the operation mode can be estimated by using the above constraint conditions, as shown in table two.
Table two constraints for four modes of operation.
Figure GDA0002539038530000131
As shown in fig. 8, the method for estimating the operating mode of the 3-Z network boost converter according to the embodiment of the present invention may further include:
s21: determining a search area with an abscissa of a switching duty ratio D1The ordinate is the load value R, D1∈[D1 1,D1 2]，R∈[R1,R2]Wherein D is1 1、D1 2、R1And R2For a given parameter value.
The search area can be set according to actual needs, so that the area needing to realize boundary value curve drawing is determined through the setting of the search area.
S22: selecting R and D at equal intervals in search area1And calculating each group R and D correspondingly selected by the 3-Z network boost converter1The operating mode of (1).
Selecting R and D at equal intervals1When the method is used, every two adjacent R and every two adjacent D which are selected can be set according to actual requirements1The difference between the R and D values of each group corresponding to the 3-Z network boost converter is estimated by the estimation method of the working mode of the 3-Z network boost converter disclosed by the application1The operating mode of (1).
S23: based on each group R and D selected1And each group R and D1The corresponding working mode divides the search area into a plurality of subareas, and each subarea corresponds to one working mode.
Determining each group R and D1After the working mode, the search area may be divided into a plurality of sub-areas based on the working mode, and each sub-area corresponds to one working mode.
S24: and drawing a boundary line in the search area to separate each subarea by using the boundary line to obtain a boundary value curve of the working mode of the 3-Z network boost converter.
The boundary of each sub-area obtained in the above way is the boundary value of the corresponding working mode. As shown in FIG. 9 to FIG. 11, the second-stage inductance values respectively plotted according to the above-mentioned method are L3,4＝7×10-4H、L3,45X 10-4H and L3,4The other parameters are as follows, for the boundary value curve at 3 × 10-4H: vg＝10V，Te＝10-4s，L1,2＝2×10-4H. It can be seen from FIGS. 9 to 11 that when L is3,4After the reduction, the subarea corresponding to the third working mode is gradually reduced until the subarea disappears; the method for drawing by using the boundary value curve can adjust the switching period and the inductance L1-L4The parameter values effectively avoid the occurrence of undesired operating modes. Therefore, the distribution condition of each working mode can be obtained through the boundary value curve by a worker, and corresponding analysis is further realized.
The method for estimating the working mode of the 3-Z network boost converter provided by the embodiment of the present invention may further include, after obtaining the boundary value curve of the working mode of the 3-Z network boost converter:
obtaining a value to be measured (D) for a corresponding operating mode to be determined1x,Ry)，D1x∈[D1 1,D1 2]，Ry∈[R1,R2]And determining a point corresponding to the value to be measured in the boundary value curve, and determining the working mode corresponding to the sub-region to which the point belongs as the working mode corresponding to the value to be measured.
If one wants to determine a certain set of R and D whose operation mode is unknown1(is represented by (D)1x,Ry) The working mode of) can be determined by the boundary value curve in the above manner, so that the working mode corresponding to any point in the search area can be determined by the boundary value curve in the above manner; the method is high in speed and accurate, and the efficiency of determining the working mode is greatly improved.
The method for estimating the working mode of the 3-Z network boost converter provided by the embodiment of the present invention may further include, after determining the working mode corresponding to the value to be measured:
and if the working modes corresponding to the different values to be measured are different, marking points corresponding to the values to be measured in the boundary value curve, and marking the sequence of the corresponding points in the boundary value curve according to the sequence of obtaining the values to be measured.
Specifically, the change area of the working mode of the 3-Z network boost converter can be directly judged according to the change of the switching duty ratio and the load by using a boundary value curve as shown by a dotted line with an arrow between points A, B, C in fig. 10, so that a worker can know the change condition of the working mode through the mark, and the realization of corresponding analysis and the like is facilitated.
The method for estimating the working mode of the 3-Z network boost converter provided by the embodiment of the present invention may further include, after obtaining the boundary value curve of the working mode of the 3-Z network boost converter:
and displaying a boundary value curve of the working mode of the 3-Z network boost converter.
After the boundary value curve is obtained, the boundary value curve can be directly displayed, so that a worker can directly and intuitively obtain corresponding information, and other output modes can be selected according to actual conditions, and the boundary value curve is within the protection scope of the invention.
Before displaying a boundary value curve of the working mode of the 3-Z network boost converter, the method for estimating the working mode of the 3-Z network boost converter provided by the embodiment of the present invention may further include:
and adding different color backgrounds for the subareas corresponding to the working modes in the boundary value curve.
By adding different color backgrounds to the corresponding subareas of each working mode, the distribution condition of each working mode can be clear to the staff, and the staff can acquire corresponding information visually so as to realize corresponding analysis and the like.
The method for estimating the working mode of the 3-Z network boost converter provided by the embodiment of the invention further comprises the following steps after the working mode of the 3-Z network boost converter is determined as the working mode of which the boundary condition meets the corresponding constraint condition:
judging whether the working mode of the 3-Z network boost converter is an expected working mode or not, if so, determining that the working mode of the 3-Z network boost converter is in accordance with the expectation, if not, adjusting all inductance values and switching duty ratios of the 3-Z network boost converter, and re-estimating the working mode of the 3-Z network boost converter based on the adjusted inductance values and switching duty ratios until the working mode of the 3-Z network boost converter is determined to be the expected working mode.
The operation mode of the 3-Z network boost converter is re-estimated based on the adjusted inductance values and the switching duty cycles, that is, the step S11 is executed again, and the inductance values and the switching duty cycles obtained in the step S11 are adjusted, so as to estimate the operation mode of the 3-Z network boost converter. In addition, the expected working mode is the working mode which the 3-Z network boost converter is expected to be in, if the estimated working mode is not the expected working mode, the working mode of the 3-Z network boost converter can be controlled to be converted into the expected working mode by adjusting all inductance values and the switching duty ratio, so that the high-efficiency control of the 3-Z network boost converter is realized, the trial and error process in the circuit design is further avoided, and a theoretical basis is provided for the circuit parameter design.
The evaluation of the operating mode is explained below by way of an example. Setting converter parameter R180 omega, Te＝10- 4s,L1,2＝2×10-4H,L3,4＝7×10-4H,Vg＝10V，D10.2, so 1/(2K)1)＝45，-1/(2K2) And 12.86, obtaining the boundary condition and the constraint condition corresponding to the first working mode according to the first table
Figure GDA0002539038530000161
And
Figure GDA0002539038530000162
boundary condition and constraint condition D corresponding to second working mode1+D20.83 and
Figure GDA0002539038530000163
boundary condition and constraint condition D corresponding to third working mode1+D20.67 and
Figure GDA0002539038530000164
boundary condition and constraint condition D corresponding to fourth working mode1+D20.72 and D1+D′20.83. According to Table two, only Condition D1+D2< 1 and D1+D′2< 1 is established, and therefore it is determined that the boost converter is in the fourth operation mode. In this example, each data substitution is realized by using parameters corresponding to the corresponding operation mode.
An embodiment of the present invention further provides an apparatus for estimating an operating mode of a 3-Z network boost converter, as shown in fig. 12, where the apparatus may include:
an obtaining module 11, configured to: acquiring a load value, a switching duty ratio, a switching period and inductance values of the 3-Z network boost converter;
a calculation module 12 for: calculating boundary conditions of the 3-Z network boost converter in each working mode based on the load value, the switching duty ratio, the switching period and each inductance value;
a judging module 13, configured to: and if the boundary condition corresponding to a certain working mode meets the preset constraint condition of the working mode, determining the working mode of the 3-Z network boost converter as the working mode of which the boundary condition meets the corresponding constraint condition.
According to the estimation device for the working mode of the 3-Z network boost converter provided by the embodiment of the invention, the calculation module may include:
a computing unit to:
calculating the boundary condition of the 3-Z network boost converter in the first operation mode according to the following formula
Figure GDA0002539038530000165
And
Figure GDA0002539038530000166
Figure GDA0002539038530000167
calculating the boundary condition of the 3-Z network boost converter in the second operation mode according to the following formula
Figure GDA0002539038530000168
And D2_C-D：
Figure GDA0002539038530000169
Calculating the boundary condition of the 3-Z network boost converter in the third operation mode according to the following formula
Figure GDA0002539038530000171
And D2_D-C：
Figure GDA0002539038530000172
Wherein,
Figure GDA0002539038530000173
calculating the boundary condition D of the 3-Z network boost converter in the fourth operation mode according to the following formula2_D-DAnd D'2_D-D：
Figure GDA0002539038530000174
Wherein,
Figure GDA0002539038530000175
the first-stage network boost circuit of the 3-Z network boost converter is in CCM (continuous current mode), the second-stage network boost circuit of the 3-Z network boost converter is in CCM, and the second-stage network boost circuit of the 3-Z network boost converter is in CCMThe boost circuit is in DCM, the third working mode is that the first-stage network boost circuit of the 3-Z network boost converter is in DCM, the second-stage network boost circuit is in CCM, the fourth working mode is that the first-stage network boost circuit of the 3-Z network boost converter is in DCM, the second-stage network boost circuit is in CCM; k1＝L1,2/(RTe)，K2＝L3,4/(RTe)，L1,2Is the inductance value, L, of the first stage network booster circuit3,4The inductance value of the second-stage network booster circuit, R is the load value, TeFor a switching period, D1Is the switching duty cycle;
correspondingly, the judging module may include:
a determination unit configured to: when in use
Figure GDA0002539038530000176
And is
Figure GDA0002539038530000177
The boundary condition corresponding to the first working mode meets the constraint condition of the first working mode; when in use
Figure GDA0002539038530000178
And D1+D2_C-DIf the boundary condition is less than 1, the boundary condition corresponding to the second working mode accords with the constraint condition of the second working mode; when in use
Figure GDA0002539038530000179
And D1+D2_D-CIf the boundary condition corresponding to the third working mode is less than 1, the boundary condition corresponding to the third working mode accords with the constraint condition of the third working mode; when D is present1+D2_D-D< 1 and D1+D′2_D-DIf the number is less than 1, the boundary condition corresponding to the fourth working mode accords with the constraint condition of the fourth working mode.
The device for estimating the working mode of the 3-Z network boost converter provided by the embodiment of the invention can further comprise:
a drawing module to: determining a search area with an abscissa of a switching duty ratio D1The ordinate is the load value R,D1∈[D1 1,D1 2]，R∈[R1,R2]wherein D is1 1、D1 2、R1And R2Given parameter values; selecting R and D at equal intervals in search area1And calculating each group R and D correspondingly selected by the 3-Z network boost converter1The operating mode of (1); based on each group R and D selected1And each group R and D1The corresponding working mode divides the search area into a plurality of subareas, and each subarea corresponds to one working mode; and drawing a boundary line in the search area to separate each subarea by using the boundary line to obtain a boundary value curve of the working mode of the 3-Z network boost converter.
The device for estimating the working mode of the 3-Z network boost converter provided by the embodiment of the invention can further comprise:
a determination module to: obtaining a value to be measured (D) for a corresponding operating mode to be determined1x,Ry)，D1x∈[D1 1,D1 2]，Ry∈[R1,R2]And determining a point corresponding to the value to be measured in the boundary value curve, and determining the working mode corresponding to the sub-region to which the point belongs as the working mode corresponding to the value to be measured.
The device for estimating the working mode of the 3-Z network boost converter provided by the embodiment of the invention can further comprise:
a marking module for: and if the working modes corresponding to the different values to be measured are different, marking points corresponding to the values to be measured in the boundary value curve, and marking the sequence of the corresponding points in the boundary value curve according to the sequence of obtaining the values to be measured.
The device for estimating the working mode of the 3-Z network boost converter provided by the embodiment of the invention can further comprise:
a display module to: and after the boundary value curve of the working mode of the 3-Z network boost converter is obtained, displaying the boundary value curve of the working mode of the 3-Z network boost converter.
The device for estimating the working mode of the 3-Z network boost converter provided by the embodiment of the invention can further comprise:
an add module to: before the boundary value curve of the working mode of the 3-Z network boost converter is displayed, different color backgrounds are added to the sub-regions corresponding to the working modes in the boundary value curve.
The device for estimating the working mode of the 3-Z network boost converter provided by the embodiment of the invention can further comprise:
a control module to: judging whether the working mode of the 3-Z network boost converter is an expected working mode or not, if so, determining that the working mode of the 3-Z network boost converter is in accordance with the expectation, if not, adjusting all inductance values and switching duty ratios of the 3-Z network boost converter, and re-estimating the working mode of the 3-Z network boost converter based on the adjusted inductance values and switching duty ratios until the working mode of the 3-Z network boost converter is determined to be the expected working mode.
An embodiment of the present invention further provides an estimation device of an operating mode of a 3-Z network boost converter, which may include:
a memory for storing a computer program;
a processor for implementing the steps of the method of estimating the operating mode of a 3-Z network boost converter as claimed in any one of the preceding claims when executing a computer program.
The device may further comprise a display for displaying the boundary value curve and/or a printer for printing the boundary value curve.
The embodiment of the invention also provides a computer-readable storage medium, on which a computer program is stored, and when the computer program is executed by a processor, the steps of the method for estimating the working mode of the 3-Z network boost converter can be implemented.
For a description of relevant parts of the estimation device, the equipment and the computer readable storage medium for the working mode of the 3-Z network boost converter provided in the embodiments of the present invention, please refer to detailed descriptions of corresponding parts in the estimation method for the working mode of the 3-Z network boost converter provided in the embodiments of the present invention, and details are not repeated herein. In addition, parts of the technical solutions provided in the embodiments of the present invention that are consistent with the implementation principles of the corresponding technical solutions in the prior art are not described in detail, so as to avoid redundant description.
The previous description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the present invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the invention. Thus, the present invention is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.

Claims (9)

1. A method of estimating the operating mode of a 3-Z network boost converter, comprising:
acquiring a load value, a switching duty ratio, a switching period and inductance values of the 3-Z network boost converter;
calculating boundary conditions of the 3-Z network boost converter in each working mode based on the load value, the switching duty ratio, the switching period and each inductance value;
if the boundary condition corresponding to a certain working mode meets the preset constraint condition of the working mode, determining the working mode of the 3-Z network boost converter as the working mode of which the boundary condition meets the corresponding constraint condition;
the method further comprises the following steps:
determining a search area, wherein the abscissa of the search area is a switching duty ratio D1The ordinate is the load value R, D1∈[D1 1,D1 2]，R∈[R1,R2]Wherein D is1 1、D1 2、R1And R2Given parameter values;
selecting R and D at equal intervals in the search area1And is combined withCalculating each group of R and D correspondingly selected by the 3-Z network boost converter1The operating mode of (1);
based on each group R and D selected1And each group R and D1The corresponding working mode divides the search area into a plurality of subareas, and each subarea corresponds to one working mode;
and drawing a boundary line in the search area so as to separate each subarea area by using the boundary line to obtain a boundary value curve of the working mode of the 3-Z network boost converter.
2. The method of claim 1, wherein calculating boundary conditions for the 3-Z network boost converter in each operating mode comprises:
calculating the boundary condition of the 3-Z network boost converter in the first operation mode according to the following formula
Figure FDA0002539038520000011
And
Figure FDA0002539038520000012
Figure FDA0002539038520000013
calculating the boundary condition of the 3-Z network boost converter in the second operation mode according to the following formula
Figure FDA0002539038520000014
And D2_C-D：
Figure FDA0002539038520000015
Calculating the boundary condition of the 3-Z network boost converter in the third working mode according to the following formula
Figure FDA0002539038520000016
And D2_D-C：
Figure FDA0002539038520000017
Wherein,
Figure FDA0002539038520000021
calculating the boundary condition D of the 3-Z network boost converter in the fourth working mode according to the following formula2_D-DAnd D'2_D-D：
Figure FDA0002539038520000022
Wherein,
Figure FDA0002539038520000023
the first working mode is that a first-stage network boosting circuit of the 3-Z network boost converter is in a continuous-flow working mode CCM, a second-stage network boosting circuit is in a CCM, the second working mode is that the first-stage network boosting circuit of the 3-Z network boost converter is in the CCM, the second-stage network boosting circuit is in a cut-off working mode DCM, the third working mode is that the first-stage network boosting circuit of the 3-Z network boost converter is in DCM, the second-stage network boosting circuit is in the CCM, and the fourth working mode is that the first-stage network boosting circuit of the 3-Z network boost converter is in DCM, the second-stage network boosting circuit is in DCM; k1＝L1,2/(RTe)，K2＝L3,4/(RTe)，L1,2Is the inductance value, L, of the first stage network booster circuit3,4The inductance value of the second-stage network booster circuit, R is the load value, TeFor a switching period, D1To the switching duty ratio, D2Duty cycle for inductive freewheeling;
correspondingly, judging whether the calculated boundary condition corresponding to each working mode meets the constraint condition of the corresponding working mode, including:
when in use
Figure FDA0002539038520000024
And is
Figure FDA0002539038520000025
The boundary condition corresponding to the first working mode meets the constraint condition of the first working mode;
when in use
Figure FDA0002539038520000026
And D1+D2_C-DIf the number is less than 1, the boundary condition corresponding to the second working mode meets the constraint condition of the second working mode;
when in use
Figure FDA0002539038520000027
And D1+D2_D-CIf the number is less than 1, the boundary condition corresponding to the third working mode meets the constraint condition of the third working mode;
when D is present1+D2_D-D< 1 and D1+D2′_D-DIf the number is less than 1, the boundary condition corresponding to the fourth working mode accords with the constraint condition of the fourth working mode.
3. The method of claim 1, wherein obtaining the boundary value curve for the operating mode of the 3-Z network boost converter further comprises:
obtaining a value to be measured (D) for a corresponding operating mode to be determined1x,Ry)，D1x∈[D1 1,D1 2]，Ry∈[R1,R2]And determining a point corresponding to the value to be measured in the boundary value curve, and determining a working mode corresponding to the sub-region to which the point belongs as the working mode corresponding to the value to be measured.
4. The method according to claim 3, wherein after determining the operation mode corresponding to the value to be measured, the method further comprises:
and if the working modes corresponding to a plurality of different values to be measured are different working modes, marking points corresponding to each value to be measured in the boundary value curve, and marking the sequence of the corresponding points in the boundary value curve according to the sequence of obtaining each value to be measured.
5. The method of claim 1, wherein obtaining the boundary value curve for the operating mode of the 3-Z network boost converter further comprises:
and displaying a boundary value curve of the working mode of the 3-Z network boost converter.
6. The method of claim 1, wherein determining the operating mode of the 3-Z network boost converter as the operating mode with the boundary condition meeting the corresponding constraint condition further comprises:
judging whether the working mode of the 3-Z network boost converter is an expected working mode or not, if so, determining that the working mode of the 3-Z network boost converter is in accordance with the expectation, if not, adjusting all inductance values and switching duty ratios of the 3-Z network boost converter, and re-estimating the working mode of the 3-Z network boost converter based on the adjusted inductance values and switching duty ratios until the working mode of the 3-Z network boost converter is determined to be the expected working mode.
7. An apparatus for estimating an operating mode of a 3-Z network boost converter, comprising:
an acquisition module to: acquiring a load value, a switching duty ratio, a switching period and inductance values of the 3-Z network boost converter;
a calculation module to: calculating boundary conditions of the 3-Z network boost converter in each working mode based on the load value, the switching duty ratio, the switching period and each inductance value;
a determination module configured to: if the boundary condition corresponding to a certain working mode meets the preset constraint condition of the working mode, determining the working mode of the 3-Z network boost converter as the working mode of which the boundary condition meets the corresponding constraint condition;
the device further comprises:
a drawing module to: determining a search area, wherein the abscissa of the search area is a switching duty ratio D1The ordinate is the load value R, D1∈[D1 1,D1 2]，R∈[R1,R2]Wherein D is1 1、D1 2、R1And R2Given parameter values;
selecting R and D at equal intervals in the search area1And calculating each group of R and D correspondingly selected by the 3-Z network boost converter1The operating mode of (1);
based on each group R and D selected1And each group R and D1The corresponding working mode divides the search area into a plurality of subareas, and each subarea corresponds to one working mode;
and drawing a boundary line in the search area so as to separate each subarea area by using the boundary line to obtain a boundary value curve of the working mode of the 3-Z network boost converter.
8. An apparatus for estimating an operating mode of a 3-Z network boost converter, comprising:
a memory for storing a computer program;
a processor for implementing the steps of the method of estimating the operating mode of a 3-Z network boost converter as claimed in any one of claims 1 to 6 when executing said computer program.
9. A computer-readable storage medium, having stored thereon a computer program which, when executed by a processor, carries out the steps of a method of estimating an operating mode of a 3-Z network boost converter according to any of claims 1 to 6.
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