CN110719032A - Universal nonlinear modeling module applied to switching power supply and modeling method thereof - Google Patents

Universal nonlinear modeling module applied to switching power supply and modeling method thereof Download PDF

Info

Publication number
CN110719032A
CN110719032A CN201910834023.5A CN201910834023A CN110719032A CN 110719032 A CN110719032 A CN 110719032A CN 201910834023 A CN201910834023 A CN 201910834023A CN 110719032 A CN110719032 A CN 110719032A
Authority
CN
China
Prior art keywords
converter
module
terminal
itis
general
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CN201910834023.5A
Other languages
Chinese (zh)
Other versions
CN110719032B (en
Inventor
姚佳
郑凯升
李科唯
江平
单梁
张俊芳
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Nanjing Tech University
Original Assignee
Nanjing Tech University
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Nanjing Tech University filed Critical Nanjing Tech University
Priority to CN201910834023.5A priority Critical patent/CN110719032B/en
Publication of CN110719032A publication Critical patent/CN110719032A/en
Application granted granted Critical
Publication of CN110719032B publication Critical patent/CN110719032B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Classifications

    • 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
    • H02M3/33507—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 with automatic control of the output voltage or current, e.g. flyback converters
    • H02M3/33523—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 with automatic control of the output voltage or current, e.g. flyback converters with galvanic isolation between input and output of both the power stage and the feedback loop

Abstract

The invention discloses a general nonlinear modeling module applied to a switching power supply and a modeling method thereof. The general ITIS module is used for uniformly expressing a nonlinear part including part of inductive elements and switching devices in the switching converter, modeling of the complicated nonlinear part in the switching converter is completed in advance, and when a steady-state model, a large-signal model or a small-signal model of the target converter is established, only an external linear network state equation of the equivalent ITIS module of the target converter needs to be established and substituted into the general ITIS module. The invention greatly simplifies the difficulty of user modeling and improves the efficiency of modeling analysis.

Description

Universal nonlinear modeling module applied to switching power supply and modeling method thereof
Technical Field
The invention relates to a power converter modeling technology, in particular to a universal non-linearity (ITIS) modeling module applied to a switching power supply and a modeling method thereof.
Background
Establishing a proper converter model is the key of the analysis and design of the switching power supply. The traditional modeling methods include a state space average method (SSA), an average switching model method, a switching signal flow graph nonlinear modeling method (SFG), and the like. These methods are based on the idea of averaging modeling, and essentially perform averaging and linearization processing on nonlinear switching elements in a switching converter circuit to obtain an equivalent circuit with topology consistent with that of the original circuit, but with the improvement of the working state and the order of the circuit, modeling becomes complicated, and difficulties are brought to researchers. In recent years, a switching converter mostly uses a coupling inductor or a multi-winding inductive element to realize voltage multiplication, the working state is more and more complicated, and the performance of circuit operation needs to be improved through a soft switching clamping circuit. However, the addition of the soft switching clamp circuit brings more complicated working states to the switching converter, and further increases the difficulty of modeling analysis.
Disclosure of Invention
The invention aims to provide a general nonlinear modeling module applied to a switching power supply and a modeling method thereof.
The technical solution for realizing the purpose of the invention is as follows: a general nonlinear modeling module applied to a switching power supply comprises a clamping switch, a general coupling inductor primary winding, a general coupling inductor secondary winding, a general ITIS module excitation inductor, a leakage inductor of a general coupling inductor, a pair of PWM switches working in a complementary mode, namely an active switch and a complementary switch, a No. 1 terminal, a No. 2 terminal, a No. 0 terminal and a No. C terminal, wherein one end of the active switch is connected with the No. 1 terminal, the other end of the active switch is connected with one end of the leakage inductor of the general coupling inductor and one end of the clamping switch, the other end of the clamping switch is connected with the No. C terminal, the other end of the leakage inductor of the general coupling inductor is connected with one end of the excitation inductor of the general coupling inductor and one end of the primary winding of the general coupling inductor, the other end of the excitation inductor of the general coupling inductor is connected with the No. 0 terminal and the other end of the primary winding of the general coupling inductor, one end of the complementary switch is connected with the No. 2 terminal, and the other end of the complementary switch is connected with the other end of the primary winding of the general coupling inductor.
A modeling method of a switching converter based on a general nonlinear coupling inductance module comprises the following steps:
step 1, analyzing a target switch converter structure to be modeled, and constructing a target converter ITIS equivalent circuit consisting of a target switch conversion equivalent ITIS module and a target converter equivalent ITIS module external linear network;
step 2, determining a state equation of an external linear network of the equivalent ITIS module of the target converter;
step 3, determining internal parameters of an equivalent ITIS module of the target converter, wherein the internal parameters comprise an effective turn ratio, an excitation inductor of the general coupling inductor and a leakage inductor of the general coupling inductor;
and 4, substituting the external linear network state equation of the equivalent ITIS module of the target converter and the internal parameters of the equivalent ITIS module of the target converter into the steady-state model, the large signal model or the small signal model of the universal ITIS module to obtain the steady-state model, the large signal model or the small signal model of the target converter to be modeled.
Compared with the prior art, the invention has the following remarkable advantages: the invention adopts the universal module to uniformly express the nonlinear part in the switching power supply topology, the universal coupling inductor containing leakage inductance, the switching element and the leakage inductance clamping circuit are packaged in the module, and the modeling of the complicated nonlinear part in the switching converter is completed in advance, thereby greatly simplifying the difficulty of user modeling, improving the efficiency of modeling analysis and being suitable for the steady-state and dynamic modeling of the switching power supply containing the transformer and the coupling inductor.
Drawings
Fig. 1 is an equivalent circuit diagram of a switching power supply including a general ITIS module.
FIG. 2 is a steady state model diagram of the generic ITIS module of the present invention.
FIG. 3 is a diagram of a large signal model of the ITIS module of the present invention.
FIG. 4 is a diagram of a small signal model of the ITIS module of the present invention.
Fig. 5 is a schematic diagram of a Flyback switching converter.
Fig. 6 is a schematic diagram of an ITIS equivalent switching converter of the Flyback switching converter.
Fig. 7 is a steady-state model schematic diagram of a Flyback switching converter.
Fig. 8 is a large signal model diagram of a Flyback switching converter.
Fig. 9 is a small-signal model diagram of a Flyback switching converter.
Fig. 10 is a comparison graph of frequency domain characteristic calculation and simulation of the Flyback switching converter control-to-output small signal transfer function.
Detailed Description
The scheme of the invention is further explained by combining the attached drawings and the specific embodiment.
The invention is applied to a general nonlinear modeling module of a switching power supply, which comprises a clamping switch K (dc), a general coupling inductor primary winding N10General coupling inductance secondary winding N20Excitation inductor L of universal ITIS modulemLeakage inductance L of general coupling inductorlkA pair of switches of PWM working in complementary mode, namely an active switch K (d) and a complementary switch K (d'), and a No. 1 terminal, a No. 2 terminal, a No. 0 terminal and a No. C terminal, wherein the active switch K (d) is connected with the No. 1 terminal at one end and is connected with the leakage inductance L of the general coupling inductance at the other endlkOne end of the universal coupling inductor is connected with one end of a clamping switch K (dc), the other end of the clamping switch K (dc) is connected with a terminal C, and the leakage inductance L of the universal coupling inductork1Excitation inductor L with the other end connected with general coupling inductormPrimary winding N with one end connected with general coupling inductor10One end, excitation inductance L of the general coupling inductancemThe other end is connected with a No. 0 terminal and a primary winding N of a general coupling inductor10At the other end, a primary winding and a secondary winding N of the general coupling inductor20One end of the complementary switch K (d ') is connected with one end of a second switch K (d'), one end of the complementary switch K (d ') is connected with the No. 2 terminal, and the other end of the complementary switch K (d') is connected with a primary winding N of the general coupling inductor10And the other end.
Four terminals or partial terminals of the general ITIS module are used for connecting the module external linear circuit, and fig. 1 shows an example of a switching power supply. The general ITIS module corresponds to three different modeling models, namely a general ITIS module steady-state model, a general ITIS module large signal model and a general ITIS module small signal model, and the models can be represented by a switching signal flow diagram (SFG) or an equation set and the like, wherein the state equation of each terminal can be described by the voltage/current state variable of a linear circuit outside each module terminal.
FIG. 2 is a switching signal flow diagram of the steady state model of the generic ITIS module, including the first terminal voltage node o V1Second terminal voltage node o V2Terminal zero voltage node o V0Terminal voltage node o V # CCFirst terminal current node oI1Terminal ii current node o I2Terminal zero current node o I0Terminal C current node o ICAuxiliary node o1 and auxiliary linkExcitation inductor voltage node o VLmExcitation inductor current node o ILmThe terminal voltage node oV1To the field inductor voltage node o VLmD, the zero terminal voltage node o V0To the field inductor voltage node oVLmHas a gain of- (D + aD'), the zero terminal voltage node o V0Gain to auxiliary node o1 is-a, and terminal voltage node two o V2Gain a to auxiliary node o1, terminal voltage node two o V2To the field inductor voltage node o VLmHas a gain of aD', and the terminal voltage node o V of the No. C terminalCThe gain to the auxiliary node o1 is 1, said auxiliary node o1 giving the auxiliary linkProviding a Y input, the magnetizing inductor current node o ILmAuxiliary link
Figure BDA0002191641460000033
Providing an X input, said auxiliary link
Figure BDA0002191641460000034
Current node o I to terminal CCHas a gain of
Figure BDA0002191641460000035
The excitation inductor voltage node o VLmTo field inductor current node o ILmHas a gain of
Figure BDA0002191641460000036
The excitation inductor current node o ILmTo the field inductor voltage node o VLmHas a gain of-fsLlkSaid excitation inductor current node o ILmCurrent node I to terminal I1D, the excitation inductor current node o ILmCurrent node o I to terminal two2Has a gain of-aD', and the terminal current node o I1Current node o I to terminal zero0Has a gain of 1, the terminal two current node o I2Current node o I to terminal zero0Has a gain of 1, and the terminal C current node o ICCurrent node o I to terminal two2The gain of (1). In particular, in the branch gains between the nodes, D is a steady-state parameter of the converter duty cycle, (1-D) is a steady-state parameter of the time period during which the converter main switch is off, and f is a steady-state parameter of the time period during which the converter main switch is offsFor the operating frequency of the converter, LlkAnd a is the effective turn ratio of the general ITIS module, and r is the parasitic resistance of the coupling inductor of the converter.
The general ITIS module steady-state model shown in FIG. 2 can also be represented by the system of equations consisting of the general ITIS module steady-state variables as follows:
Figure BDA0002191641460000041
wherein, exciting inductance current VLmExcitation inductance current ILmFirst terminal voltage V1Terminal voltage V of No. two2Terminal voltage V of zero0Terminal voltage V of No. CCFirst terminal current I1Terminal II current I2Terminal current I of zero0Terminal current I of No. CCSteady state parameter D of converter duty cycle, converter operating frequency fsLeakage inductance L of the converterlkThe effective turn ratio a of the general ITIS module and the coupling inductor parasitic resistance r of the converter.
FIG. 3 is a switch signal flow diagram of a general ITIS module large signal model, including a terminal voltage large signal node ov1Second terminal voltage large signal node o v2Zero terminal voltage large signal node o v0C terminal voltage large signal node o vCA first terminal current large signal node o i1, a second terminal current large signal node o i2, and a zero terminal current large signal node o i0C terminal current large signal node o iCAuxiliary large signal node o 01 and auxiliary large signal linkExcitation inductance voltage large signal node o vLmExcitation inductor current large signal node o iLmA zero terminal voltage large signal node ov10Two-zero terminal voltage large signal node o v20The terminal voltage of the first signal node o v1To a zero terminal voltage large signal node o v10D, the zero terminal voltage large signal node o v0Large signal node ov to one-zero terminal voltage10Gain of-1, the zero terminal voltage large signal node o v0Large signal node o v to two-zero terminal voltage20Has a gain of-1, and the one-terminal voltage large signal node o v10To excitation inductor voltage large signal node o vLmD, the two-zero terminal voltage large signal node o v20To excitation inductor voltage large signal node o vLmHas a (1-d), and the two-zero terminal voltage large signal node o v20The gain to the auxiliary large signal node o 01 is a, saidLarge signal node o v for terminal voltage CCThe gain to the auxiliary node o 01 is 1, and the auxiliary large signal node o 01 provides an auxiliary large signal link
Figure BDA0002191641460000051
Providing a y input, the excitation inductor current large signal node o iLmFor assisting large signal link
Figure BDA0002191641460000052
Providing an x input, the auxiliary large signal elementLarge signal node o i for current to terminal CCHas a gain ofThe excitation inductance voltage large signal node o vLmTo the excitation inductor current large signal node o iLmHas a gain of
Figure BDA0002191641460000055
The excitation inductor current large signal node o iLmTo the magneto-inductive voltage large signal node o vLmHas a gain of-fsLlkThe excitation inductor current large signal node o iLmLarge signal node o i for current to first terminal1D, the excitation inductance current large signal node oiLmLarge signal node o i for current to second terminal2Has a gain of-ad', and the first terminal current large signal node o i1Large signal node o i for current to zero terminal0Has a gain of 1, and the second terminal current large signal node o i2Large signal node o i for current to zero terminal0Has a gain of 1, and the terminal C has a large current signal node o iCLarge signal node oi for current to second terminal2The gain of (1). In particular, in the branch gains between the nodes, d is a large signal parameter of the converter duty ratio, and d ═ 1-d is a large signal of the time period in which the converter main switch is turned offParameter, fsFor the operating frequency of the converter, LlkAnd a is the leakage inductance of the converter, a is the effective turn ratio of the general ITIS module, r is the parasitic resistance of the coupling inductance of the converter, and Lm is the excitation inductance of the converter.
The general ITIS module large signal model shown in fig. 3 can also be expressed by the following equation set consisting of general ITIS module large signal state variables:
Figure BDA0002191641460000056
wherein, the first terminal voltage is large signal v1Second terminal voltage large signal v2Large signal v of zero terminal voltage0Large signal v of terminal voltage CCFirst terminal current large signal i1Second terminal current large signal i2Zero terminal current large signal i0C terminal current large signal iCLarge signal v of exciting inductance voltageLmExcitation inductance current large signal iLmLarge signal parameter d of converter duty ratio, converter operating frequency fsLeakage inductance L of the converterlkThe system comprises a general ITIS module, a transformer coupling inductance parasitic resistance r, and a transformer excitation inductance Lm.
FIG. 4 is a switch signal flow diagram of a general ITIS module small signal model, including a terminal voltage small signal node
Figure BDA0002191641460000061
Small signal node of second terminal voltage
Figure BDA0002191641460000062
Small signal node of zero terminal voltage
Figure BDA0002191641460000063
C terminal voltage small signal node
Figure BDA0002191641460000064
First terminal current small signal node
Figure BDA0002191641460000065
Small signal node for current of second terminal
Figure BDA0002191641460000066
Zero terminal current small signal node
Figure BDA0002191641460000067
C terminal current small signal node
Figure BDA0002191641460000068
Excitation inductance voltage small signal node
Figure BDA0002191641460000069
Excitation inductance current small signal node
Figure BDA00021916414600000610
Duty ratio small signal node
Figure BDA00021916414600000611
The first terminal voltage small signal node
Figure BDA00021916414600000612
To excitation inductance voltage small signal node
Figure BDA00021916414600000613
Has a gain of D, and the zero terminal voltage is a small signal node
Figure BDA00021916414600000648
To excitation inductance voltage small signal nodeHas a gain of- (D + aD'), and the second terminal voltage small signal node
Figure BDA00021916414600000615
To excitation inductance voltage small signal nodeHas a gain of aD', and the second terminal voltage small signal nodeSmall signal node for current to C terminal
Figure BDA00021916414600000618
Has a gain of g3The zero terminal voltage small signal nodeSmall signal node for current to C terminal
Figure BDA00021916414600000620
Has a gain of-g3Voltage small signal node of the C terminal
Figure BDA00021916414600000621
Small signal node for current to C terminalHas a gain of g2The duty ratio small signal nodeTo excitation inductance voltage small signal node
Figure BDA00021916414600000624
Has a gain of V1+(a-1)V0-aV2The duty ratio small signal node
Figure BDA00021916414600000625
Small signal node for current to first terminal
Figure BDA00021916414600000626
Has a gain of ILmThe duty ratio small signal node
Figure BDA00021916414600000627
Small signal node for current to second terminal
Figure BDA00021916414600000628
Has a gain of-aILmSaid excitation inductance voltage small signal node
Figure BDA00021916414600000629
To excitation inductance current small signal node
Figure BDA00021916414600000630
Has a gain ofThe excitation inductance current small signal node
Figure BDA00021916414600000632
To excitation inductance voltage small signal node
Figure BDA00021916414600000633
Has a gain of-fsLlkSaid exciting inductance current small signal node
Figure BDA00021916414600000634
Small signal node for current to first terminal
Figure BDA00021916414600000635
The gain of D, the excitation inductance current small signal node
Figure BDA00021916414600000636
Small signal node for current to second terminal
Figure BDA00021916414600000637
Has a gain of aD', and the excitation inductance current small signal node
Figure BDA00021916414600000638
Small signal node for current to second terminal
Figure BDA00021916414600000639
Has a gain of g1The small signal node of the first current terminal
Figure BDA00021916414600000640
Small signal node for current to zero terminal
Figure BDA00021916414600000641
Has a gain of 1, and the second terminal current is a small signal node
Figure BDA00021916414600000642
Small signal node for current to zero terminal
Figure BDA00021916414600000643
Gain of 1, the C terminal current small signal nodeSmall signal node for current to second terminalThe gain of (a) is-a. Wherein the gain g1，g2，g3Are respectively:
Figure BDA00021916414600000646
Figure BDA00021916414600000647
Figure BDA0002191641460000071
in particular, in the branch gains between the nodes, D is a steady-state parameter of the converter duty cycle, (1-D) is a steady-state parameter of the time period during which the converter main switch is off, and f is a steady-state parameter of the time period during which the converter main switch is offsFor the operating frequency of the converter, LlkFor the leakage inductance of the converter, a is the effective turn ratio of the general ITIS module, r is the parasitic resistance of the coupling inductance of the converter, Lm is the excitation inductance of the converter, ILmThe average value of the excitation current of the converter is obtained.
The generic ITIS module small signal model shown in fig. 4 can also be represented by the following equation set consisting of the generic ITIS module small signal state variables:
Figure BDA0002191641460000072
wherein, the ITIS module small signal state variable includes: first terminal voltage small signal
Figure BDA0002191641460000073
Small signal of second terminal voltage
Figure BDA0002191641460000074
Small signal of zero terminal voltage
Figure BDA0002191641460000075
Small signal of C terminal voltage
Figure BDA0002191641460000076
First terminal current small signal
Figure BDA0002191641460000077
Second terminal current small signal
Figure BDA0002191641460000078
Small signal of zero terminal current
Figure BDA0002191641460000079
Small current signal of C terminal
Figure BDA00021916414600000710
Small signal of exciting inductance voltage
Figure BDA00021916414600000711
Small signal of exciting inductance current
Figure BDA00021916414600000712
Steady state parameter D of converter duty ratio, converter working frequency fsLeakage inductance L of the converterlkEffective turn ratio a of the general ITIS module, parasitic resistance r of coupling inductor of converter, exciting inductance Lm of converter, and average value I of exciting current of converterLm。
A modeling method of a switching converter based on a general non-linear coupling inductance module and a general ITIS module comprises the following steps:
step 1, analyzing a target switch converter structure to be modeled, and constructing a target converter ITIS equivalent circuit consisting of a target switch conversion equivalent ITIS module and a target converter equivalent ITIS module external linear network;
according to the structural characteristics of the general ITIS module, the general ITIS module is compared with a target converter to be modeled, and the interface position of the ITIS module in the target converter to be modeled is determined according to the following principle:
1) the No. 1 terminal is connected with the active PWM switch and is positioned on one side far away from the coupling inductor;
2) the No. 2 terminal is connected with a switch which is complementary to the active PWM switch and is positioned on one side far away from the coupling inductor;
3) the terminal C is arranged between the clamping capacitor and the clamping switch;
4) the No. 0 terminal is connected with the coupling inductor and is positioned on one side far away from the No. 1 and No. 2 terminals.
After terminals 0, 1,2 and C of the equivalent ITIS module of the target converter to be modeled are determined, a circuit surrounded by four sections is recorded as the equivalent ITIS module of the target converter, and the rest parts are recorded as external linear networks of the equivalent ITIS module of the target converter to jointly form the equivalent circuit of the ITIS of the target converter. Depending on the structure of the target transformer to be modeled actually, it is possible that the target transformer equivalent ITIS module only contains a part of the terminals.
Step 2, determining a state equation of an external linear network of the equivalent ITIS module of the target converter;
establishing a relation equation between current and voltage variables outside each terminal of the equivalent ITIS module according to an external linear network of the equivalent ITIS module of the target converter;
step 3, determining internal parameters of an equivalent ITIS module of the target converter;
determining internal parameters of an equivalent ITIS module according to the equivalent ITIS module of the target converter: effective turn ratio a and excitation inductance L of general coupling inductancemAnd leakage inductance L of general coupling inductorlk；
Figure BDA0002191641460000081
In the formula, N10Number of coupling inductance turns, N, between target converter equivalent ITIS module terminals 1 and 020Number of coupling inductance turns, N, between target converter equivalent ITIS module terminals 2 and 01Number of turns of primary winding of transformer for target converter, L1Transformer primary winding inductance, L, for a target modeled switching converterlk1Modeling the target for equivalent leakage inductance of the transformer primary winding of the switching converter, and calculating N10And N20In the process, if the same-name end of the actual winding is connected with '+', the opposite end is connected with '-'.
Step 4, establishing a target converter steady-state model;
and substituting the obtained external linear network state equation of the equivalent ITIS module of the target converter and the internal parameters of the equivalent ITIS module of the target converter into the steady-state model of the universal ITIS module to obtain the steady-state model of the target converter to be modeled.
Step 5, establishing a large signal model of the target converter;
and substituting the obtained external linear network state equation of the target converter equivalent ITIS module and the internal parameters of the target converter equivalent ITIS module into the general ITIS module large signal model to obtain a large signal model of the target converter to be modeled and obtain the relation between the state variables.
Step 6, establishing a small signal model of the target converter;
and substituting the obtained external linear network state equation of the target converter equivalent ITIS module and the internal parameters of the target converter equivalent ITIS module into the general ITIS module small signal model to obtain the small signal model of the target converter to be modeled.
Step 7, establishing a small signal transfer function of the target converter;
substituting the steady state solution obtained in the step 4 into the small signal model of the target converter obtained in the step 6 can obtain the small signal transfer function of the converter.
In addition, the steps 4-6 can be selectively executed according to actual conditions, and the execution sequence can also be changed.
Examples
In order to verify the effectiveness of the scheme, a Flyback switching converter is taken as a modeling object, and modeling steps of the scheme are detailed.
The Flyback switching converter shown in fig. 5 has the following main parameters, i.e., input voltage Vg of 120V, load resistance R of 6Ohm, output capacitance Co of 100uF, equivalent series resistance Resr of output capacitance of 10m Ohm, switching frequency f of 65kHz, and excitation inductance L1600uH, the turn ratio n of the primary side and the secondary side of the transformer is 0.25, and the equivalent leakage inductance L of the primary side of the transformer lk150 muH, 47nF for the clamp capacitance Cc and 47k Ohm for the clamp resistance Rc.
The dynamic modeling method of the switching converter considering the leakage inductance and the clamping circuit comprises the following control steps:
step 1, analyzing a target switch converter structure to be modeled, and drawing a target converter ITIS equivalent circuit consisting of a target switch conversion equivalent ITIS module and a target converter equivalent ITIS module external linear network, as shown in FIG. 6;
step 2, determining internal parameters of an equivalent ITIS module of the target converter;
obtaining the relation between the current and the voltage variation of the circuit of each terminal of the universal nonlinear ITIS module of the Flyback switching converter according to the external linear network of the equivalent ITIS module;
v2＝vout
v0＝0
v1＝vg
Figure BDA0002191641460000091
Figure BDA0002191641460000092
step 3, determining internal parameters of an equivalent ITIS module of the target converter;
determining transformer parameters, effective turn ratio a and excitation inductance L of universal nonlinear ITIS module in universal ITIS module of Flyback switch convertermAnd general non-linear ITIS Module leakage inductance LlkWherein:
Figure BDA0002191641460000101
Figure BDA0002191641460000102
Figure BDA0002191641460000103
in the formula, N10Number of coupled inductor turns, N, between equivalent ITIS module terminals 1 and 0 of Flyback switching converter20Number of coupled inductor turns, N, between equivalent ITIS module terminals 2 and 0 of Flyback switching converter1Number of turns of primary winding of transformer, L, for Flyback switching converter1The inductance value of a primary winding of a transformer of a switch converter for modeling a Flyback switch; l islk1The equivalent leakage inductance of the transformer primary winding of the Flyback switching converter is obtained.
Step 4, establishing a target converter steady-state model;
substituting the obtained external linear network state equation of the Flyback switching converter equivalent ITIS module and the obtained internal parameters of the Flyback switching converter equivalent ITIS module into a general ITIS module steady-state model (shown in figure 2) to obtain the steady-state model (shown in figure 7) of the Flyback switching converter to be modeled.
The steady state model of the Flyback switching converter, as shown in fig. 7, can also be expressed in terms of a system of equations, such as:
Figure BDA0002191641460000104
Figure BDA0002191641460000105
from the formula, a steady state expression can be solved:
Figure BDA0002191641460000106
Figure BDA0002191641460000111
wherein
a1＝(2Rcfs 2n4+2Rfs 2n2)Llk 2+2D′4R2Rc+(4D′2RRcfsn2+D′2R2fs)Llk
Figure BDA0002191641460000112
a3＝2D′Rcfs 2n4Llk 2+4D′3RRcfsn2Llk+2D′5R2Rc
Step 5, establishing a large signal model of the target converter;
substituting the obtained external linear network state equation of the Flyback switch converter equivalent ITIS module and the obtained internal parameters of the Flyback switch converter equivalent ITIS module into a general ITIS module large signal model (shown in figure 3) to obtain a large signal model (shown in figure 8) of the Flyback switch converter to be modeled and obtain the relation among all state variables.
Wherein the gain ZCAnd ZoutThe expression of (a) is:
Figure BDA0002191641460000113
the large-signal model of the Flyback switching converter shown in fig. 8 can also be expressed in the form of a system of equations, such as:
Figure BDA0002191641460000115
Figure BDA0002191641460000116
step 6, establishing a small signal model of the target converter;
substituting the obtained external linear network state equation of the Flyback switch converter equivalent ITIS module and the obtained internal parameters of the Flyback switch converter equivalent ITIS module into a general ITIS module small signal model (figure 4) to obtain a small signal model (figure 9) of the target converter to be modeled.
Wherein the gain g1、g2And g3The expression of (a) is:
Figure BDA0002191641460000122
Figure BDA0002191641460000123
wherein the gain ZCAnd ZoutThe expression of (a) is:
Figure BDA0002191641460000124
Figure BDA0002191641460000125
the small-signal model of the Flyback switching converter shown in fig. 9 can also be expressed in the form of a system of equations, such as:
Figure BDA0002191641460000126
Figure BDA0002191641460000127
step 7, establishing a small signal transfer function of the target converter:
substituting the steady state solution obtained in the step 4 into the small signal model obtained by the target converter obtained in the step 6 to obtain a small signal transfer function of the converter, wherein the Flyback converter controls the small signal transfer function to be output:
Figure BDA0002191641460000131
wherein
b0＝(DRcVoutag2-ILmLlkRcfsg2-DRcVgg2-RcVoutag2-DVouta+ILmLlkfs+RcVgg2-Voutag1+DVg+Vgg1+Vouta-Vg)aR
b1＝(-CcDRcVouta+CcILmLlkRcfs-CcRcVoutag1+CcDRcVg+CcRcVgg1+CcRcVouta-ILmLmRcg2-CcRcVg+ILmLm)aR
b3＝CcILmLmaR
z0＝-a(((Rcg2-1)D-Rcg2-g1+1)(D-1)a+fsg3Llk)R-fsLlk(Rcg2-1)
z1＝(-(Resr(g2(D-1)Rc-D-g1+1)Co-CcRc(D+g1-1))(D-1)a2-g3(CcLlkRcfs+CoLlkResrfs+Lm)a-LlkCofs(Rcg2-1))R-LlkResrfs(Rcg2-1)Co+(CcLlkfs-Lmg2)Rc+Lm
z2＝(((a(D-1)(D+g1-1)a-fsg3Llk)CcResr+CcLlkfs-Lmg2)R-Resr(-CcLlkfs+Lmg2))Rc-((Resrag3-1)R-Resr)Lm)Co-CcLmRc(Rag3-1)
z3＝-((Rag3-1)Resr-R)LmCcRcCo
Figure BDA0002191641460000132
Fig. 10 shows the comparison between the calculated Flyback switching converter control-to-output small signal model and the control-to-output small signal model obtained through simulation by the modeling method, and the correctness of the modeling method is verified by the simulation result.

Claims (8)

1. The general nonlinear modeling module applied to the switching power supply is characterized by comprising a clamping switch (K (dc)), a general coupling inductance primary winding (N)10) General coupled inductor secondary winding (N)20) Excitation inductor (L) of general ITIS modulem) Common coupling inductance (L)lk) A pair of switches of PWM working in complementary mode, namely an active switch (K (d)) and a complementary switch (K (d')), as well as a No. 1 terminal, a No. 2 terminal, a No. 0 terminal and a No. C terminal, wherein one end of the active switch (K (d)) is connected with the No. 1 terminal, and the other end is connected with the leakage inductance (L) of the general coupling inductancelk) One end of the universal coupling inductor is connected with one end of a clamping switch (K (dc)), the other end of the clamping switch (K (dc)) is connected with a terminal No. C, and the leakage inductance (L) of the universal coupling inductork1) The other end is connected with the excitation inductor (L) of the general coupling inductorm) Primary winding (N) with one end connected to general coupling inductor10) One terminal, excitation inductance (L) of the general coupling inductancem) The other end is connected with a No. 0 terminal and a primary winding (N) of the general coupling inductor10) At the other end, the primary winding and the secondary winding (N) of the general coupling inductor20) One end of the complementary switch (K (d ')) is connected with the No. 2 terminal, and the other end of the complementary switch (K (d')) is connected with the primary winding (N) of the general coupling inductor10) And the other end.
2. The generalized nonlinear modeling module applied to a switching power supply of claim 1, wherein a steady state model of the generalized nonlinear modeling module is expressed as:
Figure FDA0002191641450000011
wherein the exciting inductance current is VLmExciting inductor current of ILmThe first terminal voltage is V1The second terminal voltage is V2Terminal voltage of zero is V0The voltage of the C terminal is VCThe first terminal current is I1The second terminal current is I2Terminal current of zero is I0And the terminal current of C is ICThe steady state parameter of the converter duty ratio is D, and the converter working frequency is fsThe leakage inductance of the converter is LlkThe effective turn ratio of the general ITIS module is a, and the parasitic resistance of the coupling inductor of the converter is r.
3. The general nonlinear modeling module applied to the switching power supply of claim 1, wherein the large signal model of the general nonlinear modeling module is represented as:
Figure FDA0002191641450000021
wherein, the large signal of the first terminal voltage is v1The second terminal voltage large signal is v2The large signal of zero terminal voltage is v0The large signal of the terminal voltage C is vCThe first terminal current large signal is i1The second terminal current large signal is i2The zero terminal current large signal is i0And the large current signal of the terminal C is iCThe excitation inductance voltage large signal is vLmExcitation inductance current large signal is iLmD is the large signal parameter of the converter duty ratio, and f is the converter working frequencysThe leakage inductance of the converter is LlkEffective turns ratio of the general ITIS moduleAnd a, the parasitic resistance of the coupling inductor of the converter is r, and the excitation inductor of the converter is Lm.
4. The general nonlinear modeling module applied to the switching power supply of claim 1, wherein the small signal model of the general nonlinear modeling module is represented as:
wherein, the small signal of the first terminal voltage isThe second terminal voltage small signal is
Figure FDA0002191641450000024
The zero terminal voltage small signal is
Figure FDA0002191641450000025
The C terminal voltage small signal is
Figure FDA0002191641450000026
The first terminal has a small current signal of
Figure FDA0002191641450000027
The second terminal has a small current signal of
Figure FDA0002191641450000028
The zero terminal current small signal is
Figure FDA0002191641450000029
The C terminal has a small current signal of
Figure FDA00021916414500000210
Small signal of exciting inductance voltage isExciting inductance current small signal is
Figure FDA00021916414500000212
The steady state parameter of the duty ratio of the converter is D, and the working frequency of the converter is fsThe leakage inductance of the converter is LlkThe effective turn ratio of the general ITIS module is a, the parasitic resistance of the coupling inductor of the converter is r, the exciting inductance of the converter is Lm, and the average value of the exciting current of the converter is ILm。
5. A modeling method of a switching converter based on a general nonlinear coupling inductance module is characterized by comprising the following steps:
step 1, analyzing a target switch converter structure to be modeled, and constructing a target converter ITIS equivalent circuit consisting of a target switch conversion equivalent ITIS module and a target converter equivalent ITIS module external linear network;
step 2, determining a state equation of an external linear network of the equivalent ITIS module of the target converter;
step 3, determining internal parameters of an equivalent ITIS module of the target converter, wherein the internal parameters comprise an effective turn ratio, an excitation inductor of the general coupling inductor and a leakage inductor of the general coupling inductor;
and 4, substituting the external linear network state equation of the equivalent ITIS module of the target converter and the internal parameters of the equivalent ITIS module of the target converter into the steady-state model, the large signal model or the small signal model of the universal ITIS module to obtain the steady-state model, the large signal model or the small signal model of the target converter to be modeled.
6. The modeling method of the switching converter based on the general nonlinear coupling inductance module according to claim 1, wherein in step 1, according to the structural characteristics of the general ITIS module, the general ITIS module is compared with a target converter to be modeled to determine the interface position of the ITIS module in the target converter to be modeled, and the determination principle is as follows:
1) the No. 1 terminal is connected with the active PWM switch and is positioned on one side far away from the coupling inductor;
2) the No. 2 terminal is connected with a switch which is complementary to the active PWM switch and is positioned on one side far away from the coupling inductor;
3) the terminal C is arranged between the clamping capacitor and the clamping switch;
4) the No. 0 terminal is connected with the coupling inductor and is positioned on one side far away from the No. 1 and No. 2 terminals.
After terminals 0, 1,2 and C of the equivalent ITIS module of the target converter to be modeled are determined, a circuit surrounded by four sections is recorded as the equivalent ITIS module of the target converter, and the rest parts are recorded as external linear networks of the equivalent ITIS module of the target converter to jointly form the equivalent circuit of the ITIS of the target converter.
7. The modeling method of the switching converter based on the general nonlinear coupling inductance module according to claim 1, wherein in the step 2, according to the target converter equivalent ITIS module, the internal parameters of the equivalent ITIS module are determined: effective turn ratio a and excitation inductance L of general coupling inductancemAnd leakage inductance L of general coupling inductorlk；
Figure FDA0002191641450000031
Figure FDA0002191641450000032
Figure FDA0002191641450000033
In the formula, N10Number of coupling inductance turns, N, between target converter equivalent ITIS module terminals 1 and 020Number of coupling inductance turns, N, between target converter equivalent ITIS module terminals 2 and 01Number of turns of primary winding of transformer for target converter, L1Transformer primary winding inductance, L, for a target modeled switching converterlk1Transformer primary winding equivalent leakage for target modeled switching converterSense and in calculating N10And N20In the process, if the same-name end of the actual winding is connected with '+', the opposite end is connected with '-'.
8. The modeling method of the switching converter based on the general nonlinear coupling inductance module according to claim 1, further comprising a step of obtaining a small signal transfer function, wherein a steady state solution is obtained according to a steady state model of the target converter, and then the steady state solution is substituted into the small signal model of the target converter, so that the small signal transfer function of the converter is obtained.
CN201910834023.5A 2019-09-04 2019-09-04 Universal nonlinear modeling module applied to switching power supply and modeling method thereof Active CN110719032B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201910834023.5A CN110719032B (en) 2019-09-04 2019-09-04 Universal nonlinear modeling module applied to switching power supply and modeling method thereof

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201910834023.5A CN110719032B (en) 2019-09-04 2019-09-04 Universal nonlinear modeling module applied to switching power supply and modeling method thereof

Publications (2)

Publication Number Publication Date
CN110719032A true CN110719032A (en) 2020-01-21
CN110719032B CN110719032B (en) 2021-12-10

Family

ID=69209630

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201910834023.5A Active CN110719032B (en) 2019-09-04 2019-09-04 Universal nonlinear modeling module applied to switching power supply and modeling method thereof

Country Status (1)

Country Link
CN (1) CN110719032B (en)

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111539122A (en) * 2020-04-30 2020-08-14 南京理工大学 Universal switch converter full-order dynamic modeling method under current interruption mode
CN111581799A (en) * 2020-04-29 2020-08-25 南京理工大学 Modeling method of power electronic converter comprising coupling inductor and charge pump unit

Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20080315982A1 (en) * 2007-06-08 2008-12-25 Intersil Americas Inc. Coupled-inductor core for unbalanced phase currents
CN104915527A (en) * 2015-07-15 2015-09-16 哈尔滨工业大学 Variational integral-discretization Lagrange model-based Buck-Boost converter modeling and nonlinear analysis method
CN106505904A (en) * 2016-12-09 2017-03-15 福州大学 T S fuzzy model modeling methods with nonlinear load inverter
CN108880225A (en) * 2018-07-09 2018-11-23 东南大学 A kind of non-linear modeling method of inverse-excitation type pfc converter
CN110175351A (en) * 2019-04-15 2019-08-27 南方电网科学研究院有限责任公司 A kind of converter power transformer modeling method

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20080315982A1 (en) * 2007-06-08 2008-12-25 Intersil Americas Inc. Coupled-inductor core for unbalanced phase currents
CN104915527A (en) * 2015-07-15 2015-09-16 哈尔滨工业大学 Variational integral-discretization Lagrange model-based Buck-Boost converter modeling and nonlinear analysis method
CN106505904A (en) * 2016-12-09 2017-03-15 福州大学 T S fuzzy model modeling methods with nonlinear load inverter
CN108880225A (en) * 2018-07-09 2018-11-23 东南大学 A kind of non-linear modeling method of inverse-excitation type pfc converter
CN110175351A (en) * 2019-04-15 2019-08-27 南方电网科学研究院有限责任公司 A kind of converter power transformer modeling method

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
ALENKA HREN 等: "RC-RCD clamp circuit for ringing losses reduction in a flyback converter", 《IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II: EXPRESS BRIEFS》 *
姚佳: "基于耦合电感的高增益DC/DC拓扑及其建模研究", 《中国博士学位论文全文数据库 工程科技Ⅱ辑》 *

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111581799A (en) * 2020-04-29 2020-08-25 南京理工大学 Modeling method of power electronic converter comprising coupling inductor and charge pump unit
CN111581799B (en) * 2020-04-29 2022-10-28 南京理工大学 Modeling method of power electronic converter comprising coupling inductor and charge pump unit
CN111539122A (en) * 2020-04-30 2020-08-14 南京理工大学 Universal switch converter full-order dynamic modeling method under current interruption mode
CN111539122B (en) * 2020-04-30 2022-10-28 南京理工大学 Universal switch converter full-order dynamic modeling method under current interruption mode

Also Published As

Publication number Publication date
CN110719032B (en) 2021-12-10

Similar Documents

Publication Publication Date Title
CN110719032B (en) Universal nonlinear modeling module applied to switching power supply and modeling method thereof
Shin et al. Small-signal analysis of multiphase interleaved boost converter with coupled inductors
CN108964289B (en) ECPT system with double T-shaped resonant networks and parameter design method thereof
CN112994472A (en) Optimal dead zone calculation method and variable dead zone control method for high-frequency LLC resonant converter
Hayerikhiyavi et al. Improved Gyrator-capacitor modeling of magnetic circuits with inclusion of magnetic hysteresis
CN106487259A (en) A kind of neutral point voltage balance method for three Level Full Bridge DC converters
Saber et al. A combined CM & DM conducted EMI modeling approach: Application to a non-isolated on-board single-phase charger for electric vehicles
CN111539122B (en) Universal switch converter full-order dynamic modeling method under current interruption mode
CN105743331A (en) Switching tube driving circuit for dual-tube flyback topological switch power supply
Østergaard et al. Simple equivalent circuit capacitance model for two-winding transformers
CN110941915A (en) Quantitative analysis method for topological switching loss and leakage inductance of impedance source inverter
CN111262463A (en) Inversion topological structure of micro-inversion system
Chakraborty et al. Approaches for continuous-time dynamic modeling of the asymmetric dual-active half-bridge converter
CN113191033B (en) Inductance simulation method for BOOST circuit inductance device
CN113098287A (en) Control method of high-order LCLCLCL direct current converter
CN110112838B (en) Hybrid modeling method of ECPT system with load self-adaptive characteristic
CN115378259A (en) Topology of passive resonant converter based on optimization parameter calculation and control method thereof
Kusumah et al. Components selection of a direct three-phase to single-phase AC/AC converter for a contactless electric vehicle charger
CN111581799B (en) Modeling method of power electronic converter comprising coupling inductor and charge pump unit
Florez et al. Modeling, simulation and experimental set-up of a boost-flyback converter
Allmeling et al. Accurate real-time simulation of converters with frequent current commutation using sub-step events
Yao et al. High step-up tapped inductor SEPIC converter with charge pump cell
CN113765370A (en) Switch tube parallel current equalizing structure in BUCK/BOOST half-bridge BOOST circuit
Tahmaz et al. Efficient Modeling Technique for Analysis of the Half Bridge DC-DC Converter
CN112100854A (en) Method for automatically generating and updating simulation state equation of power electronic system

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant