CN111581799A - Modeling method of power electronic converter comprising coupling inductor and charge pump unit - Google Patents

Modeling method of power electronic converter comprising coupling inductor and charge pump unit Download PDF

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CN111581799A
CN111581799A CN202010358627.XA CN202010358627A CN111581799A CN 111581799 A CN111581799 A CN 111581799A CN 202010358627 A CN202010358627 A CN 202010358627A CN 111581799 A CN111581799 A CN 111581799A
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module
power electronic
charge pump
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CN111581799B (en
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姚佳
李科唯
张俊芳
彭富明
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Nanjing University of Science and Technology
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Nanjing University of Science and Technology
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Abstract

The invention discloses a modeling method of a power electronic converter containing a coupling inductor and a charge pump unit, which comprises a modeling module of a charge pump CP unit and a method for adding the charge pump CP unit module on the basis of a general TIS nonlinear modeling module to obtain a TIS-CP nonlinear modeling module. The TIS-CP modeling module can be used for completing modeling of a complex nonlinear part including the charge pump unit, part of inductive elements and a switching device in a hybrid coupling inductance high-gain topology containing the charge pump unit in advance, and on the basis, only a linear network state equation outside the equivalent TIS-CP module needs to be established and substituted into a large signal model, a steady state model and a small signal model of the equivalent TIS-CP modeling module, so that the large signal model, the steady state model and the small signal model of the target power electronic converter can be obtained. The invention can greatly reduce the workload of a user for modeling the hybrid coupling inductor high-gain topology containing the charge pump unit and improve the efficiency of modeling analysis.

Description

Modeling method of power electronic converter comprising coupling inductor and charge pump unit
Technical Field
The invention relates to a power electronic converter modeling technology, in particular to a modeling method of a power electronic converter comprising a coupling inductor and a charge pump unit.
Background
Modeling of power electronic converters is the basis for their design and analysis. Since the nonlinear elements included in the circuit topology of the power electronic converter are strong nonlinear systems, the solution is difficult by a mathematical method, and a classical closed-loop design method cannot be adopted, the linear modeling (small-signal model) of the switching circuit is needed firstly. The simpler high-transformation-ratio topology can be modeled by adopting a traditional average switch model method and the like. While relatively complex can be modeled by State Space Averaging (SSA). In addition, the nonlinear modeling method (SFG) of the switching signal flow diagram also retains the advantages of clear physical meaning and easy calculation of equation expression. However, with the improvement of the working state and the order of the circuit, the state matrix equation representing the topological circuit is correspondingly difficult to write, and difficulty is brought to topological research. In recent years, most of power electronic converters use winding inductive elements, and the switched capacitor/charge pump unit and the like can further improve gain and simultaneously realize excellent performances such as zero ripple and soft switching, but also introduce complex working states such as quasi-resonance and the like, thereby bringing more challenges to modeling analysis of the power electronic converter.
Disclosure of Invention
The invention aims to provide a modeling method of a power electronic converter comprising a coupling inductor and a charge pump unit.
The technical solution for realizing the purpose of the invention is as follows: a method of modelling a power electronic converter comprising a coupled inductor and a charge pump unit, comprising the steps of:
step 1, constructing a load pump CP unit and a TIS modeling module, and determining models of the load pump CP unit and the general TIS modeling module, wherein the models comprise a steady-state model, a large signal model and a small signal model;
step 2, constructing an equivalent TIS-CP modeling module, and determining a large signal model, a steady-state model and a small signal model of the equivalent TIS-CP modeling module according to the connection mode of the CP unit of the charge pump and the general TIS module;
step 3, determining an external linear network of the equivalent TIS-CP modeling module according to the topology of the target power electronic converter and the equivalent TIS-CP modeling module;
step 4, determining a state equation of an external linear network of the target power electronic converter equivalent TIS-CP module and internal parameters of the target power electronic converter equivalent TIS-CP module, wherein the internal parameters comprise an effective turn ratio and excitation inductance of the general coupling inductance;
and 5, substituting the external linear network state equation of the equivalent TIS-CP module of the target power electronic converter and the internal parameters of the equivalent TIS-CP module of the target power electronic converter into each model of the equivalent TIS-CP module established in the step 2 to obtain a model of the target power electronic converter to be modeled.
Compared with the prior art, the invention has the following remarkable advantages: the charge pump unit part in the hybrid coupling inductance high-gain topology containing the charge pump unit is modeled in advance, and is embedded into a general TIS modeling module to generate a TIS-CP modeling module to uniformly express the nonlinear part in the target topology, so that the modeling difficulty of a user is greatly reduced, and the efficiency of modeling analysis is improved.
Drawings
Fig. 1 is a schematic diagram of an equivalent circuit of a switching power supply including a general TIS module.
FIG. 2 is a large signal model diagram of a generic TIS modeling module.
FIG. 3 is a steady state model diagram of a generic TIS modeling module.
FIG. 4 is a small signal model diagram of a generic TIS modeling module.
FIG. 5 is a schematic diagram of a charge pump CP unit and a general TIS modeling module of the TI-CP-Boost power electronic converter.
Fig. 6 is a small signal model diagram of the charge pump CP unit.
FIG. 7 is a black-box representation of an equivalent TIS-CP module.
Fig. 8 is a small-signal model diagram of a charge pump CP unit and an external branch thereof of the TI-CP-Boost power electronic converter.
FIG. 9 is a schematic diagram of an equivalent TIS-CP module of the TI-CP-Boost power electronic converter.
Fig. 10 is a large-signal model diagram of the TI-CP-Boost power electronic converter.
FIG. 11 is a steady state model diagram of the TI-CP-Boost power electronic converter.
Fig. 12 is a small-signal model diagram of the TI-CP-Boost power electronic converter.
Fig. 13 is a comparison graph of a calculation result and a simulation result of a small signal transfer function model from the control to the output of the TI-CP-Boost power electronic converter.
Detailed Description
The scheme of the invention is further explained by combining the attached drawings and the specific embodiment.
The modeling method of the power electronic converter comprising the coupling inductor and the charge pump unit comprises the steps of firstly constructing a modeling module of a CP (charge pump) unit, and then adding the CP unit to the original general TIS modeling module to form an equivalent TIS-CP modeling module, so that the modeling method can be applied to modeling of the power electronic converter comprising the coupling inductor and the charge pump unit. The modeling method of the power electronic converter comprising the coupling inductor and the charge pump unit specifically comprises the following steps:
step 1, constructing a load pump CP unit and a TIS modeling module, and determining models of the load pump CP unit and the general TIS modeling module, wherein the models comprise a steady-state model, a large signal model and a small signal model;
fig. 1 shows an example of a generic TIS modeling module in a switching power supply, whose three terminals may be used partly or entirely for connecting external linear circuits. The general TIS modeling module comprises a general coupling inductance primary winding (N)10) General coupled inductor secondary winding (N)20) And a general TIS module excitation inductor (L)m) 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 and a No. 0 terminal, wherein one end of the active switch (K (d)) is connected with the No. 1 terminal, and the other end is connected with an excitation inductor (L) of the general coupling inductorm) And primary winding (N) of the 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) The other end, the secondary winding (N) of the general coupling inductor20) One end of the complementary switch (K (d ')) is connected with one end of the complementary switch (K (d ')), and the other end of the complementary switch (K (d ')) is connected with the No. 2 terminal. According to the characteristics and the target powerAnd comparing the sub-converters to determine the position of an interface terminal of the general TIS modeling module in the target power electronic converter to be modeled.
The switching signal flow diagram of the general TIS modeling module large signal model is shown in FIG. 2 and comprises a terminal voltage large signal node o v1Second terminal voltage large signal node o v2Zero terminal voltage large signal node o v0First terminal current large signal node o i1Second terminal current large signal node o i2Zero terminal current large signal node o i0Excitation 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 excitation inductance voltage large signal node o vLmTo the excitation inductor current large signal node o iLmHas a gain of
Figure BDA0002474324270000031
The excitation inductor current large signal node o iLmLarge signal node o i for current to first terminal1D, the excitation inductor current large signal node o iLmLarge 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 i2To zeroLarge signal node o i for signal terminal current0The gain of (1). In particular, in the branch gains between the nodes, d is a large signal parameter of the duty ratio of the target power electronic converter, d ═ 1-d is a large signal parameter of the time period in which the main switch of the target power electronic converter is turned off, a is an effective turn ratio of the general TIS module, r is a coupling inductance parasitic resistance of the target power electronic converter, and Lm is an excitation inductance of the target power electronic converter.
The general TIS module large signal model shown in fig. 2 can also be expressed by the following equation set consisting of the general TIS module large signal state variables:
Figure BDA0002474324270000041
wherein, the first terminal voltage is large signal v1Second terminal voltage large signal v2Large signal v of zero terminal voltage0First terminal current large signal i1Second terminal current large signal i2Zero terminal current large signal i0Large signal v of exciting inductance voltageLmExcitation inductance current large signal iLmThe method comprises the following steps of calculating a large signal parameter d of the duty ratio of a target power electronic converter, an effective turn ratio a of a general TIS module, a coupling inductance parasitic resistance r of the target power electronic converter and an excitation inductance Lm of the target power electronic converter.
The general TIS modeling module steady-state model switching signal flow diagram is shown in FIG. 3 and includes a terminal voltage node o V1Second terminal voltage node o V2Terminal zero voltage node o V0First terminal current node o I1Terminal ii current node o I2Terminal zero current node o I0Auxiliary node o 1, excitation inductance voltage node o VLmExcitation inductor current node o ILmThe terminal voltage node o V1To the field inductor voltage node o VLmD, the zero terminal voltage node o V0To the field inductor voltage node o VLmHas a gain of- (D + aD'), the zero terminal voltage node o V0Gain to auxiliary node o 1 is-a, and terminal voltage node two o V2Gain a to auxiliary node o 1, terminal voltage node two o V2To the field inductor voltage node o VLmHas a gain of aD', and the excitation inductor voltage node o VLmTo field inductor current node o ILmHas a gain of
Figure BDA0002474324270000042
The 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 zero0The gain of (1). In particular, in the branch gains between the nodes, D is a steady-state parameter of the duty ratio of the target power electronic converter, D ═ 1-D is a steady-state parameter of the time period in which the main switch of the target power electronic converter is turned off, a is an effective turn ratio of the general TIS module, and r is a coupling inductance parasitic resistance of the target power electronic converter.
The general TIS module steady state model shown in FIG. 3 can also be represented by the following set of equations consisting of the general TIS module steady state variables:
Figure BDA0002474324270000051
wherein, exciting inductance current VLmExcitation inductance current ILmFirst terminal voltage V1Terminal voltage V of No. two2Terminal voltage V of zero0First terminal current I1Terminal II current I2Terminal current I of zero0The method comprises the steps of obtaining a target power electronic converter duty ratio steady-state parameter D, an effective turn ratio a of a general TIS module and a target power electronic converter coupling inductance parasitic resistance r.
The general TIS modeling module small signal modelThe off signal flow diagram is shown in FIG. 4, and includes a terminal voltage small signal node
Figure BDA0002474324270000052
Small signal node of second terminal voltage
Figure BDA0002474324270000053
Small signal node of zero terminal voltage
Figure BDA0002474324270000054
First terminal current small signal node
Figure BDA0002474324270000055
Small signal node for current of second terminal
Figure BDA0002474324270000056
Zero terminal current small signal node
Figure BDA0002474324270000057
Excitation inductance voltage small signal node
Figure BDA0002474324270000058
Excitation inductance current small signal node
Figure BDA0002474324270000059
Duty ratio small signal node
Figure BDA00024743242700000510
The first terminal voltage small signal node
Figure BDA00024743242700000511
To excitation inductance voltage small signal node
Figure BDA00024743242700000512
Has a gain of D, and the zero terminal voltage is a small signal node
Figure BDA00024743242700000513
To exciting inductance voltageSmall signal node
Figure BDA00024743242700000514
Has a gain of- (D + aD'), and the second terminal voltage small signal node
Figure BDA00024743242700000515
To excitation inductance voltage small signal node
Figure BDA00024743242700000516
Has a gain of aD', and the duty ratio small signal node
Figure BDA00024743242700000517
To excitation inductance voltage small signal node
Figure BDA00024743242700000518
Has a gain of V1+(a-1)V0-aV2The duty ratio small signal node
Figure BDA00024743242700000519
Small signal node for current to first terminal
Figure BDA00024743242700000520
Has a gain of ILmThe duty ratio small signal node
Figure BDA00024743242700000521
Small signal node for current to second terminal
Figure BDA00024743242700000522
Has a gain of-aILmSaid excitation inductance voltage small signal node
Figure BDA00024743242700000523
To excitation inductance current small signal node
Figure BDA00024743242700000524
Has a gain of
Figure BDA00024743242700000525
The excitation inductance current small signal node
Figure BDA00024743242700000526
Small signal node for current to first terminal
Figure BDA00024743242700000527
The gain of D, the excitation inductance current small signal node
Figure BDA00024743242700000528
Small signal node for current to second terminal
Figure BDA00024743242700000529
Has a gain of aD', and the small signal node of the first current terminal
Figure BDA00024743242700000530
Small signal node for current to zero terminal
Figure BDA00024743242700000531
Has a gain of 1, and the second terminal current is a small signal node
Figure BDA00024743242700000532
Small signal node for current to zero terminal
Figure BDA00024743242700000533
The gain of (1).
The general TIS module small signal model shown in fig. 4 can also be represented by the following equation set consisting of the general TIS module small signal state variables:
Figure BDA0002474324270000061
wherein, the TIS module small signal state variable contains: first terminal voltage small signal
Figure BDA0002474324270000062
Small signal of second terminal voltage
Figure BDA0002474324270000063
Small signal of zero terminal voltage
Figure BDA0002474324270000064
First terminal current small signal
Figure BDA0002474324270000065
Second terminal current small signal
Figure BDA0002474324270000066
Small signal of zero terminal current
Figure BDA0002474324270000067
Small signal of exciting inductance voltage
Figure BDA0002474324270000068
Small signal of exciting inductance current
Figure BDA0002474324270000069
The method comprises the steps of obtaining a steady-state parameter D of the duty ratio of a target power electronic converter, an effective turn ratio a of a general TIS module, a coupling inductance parasitic resistance r of the target power electronic converter, an excitation inductance Lm of the target power electronic converter and an excitation current average value I of the target power electronic converterLm。
Fig. 5 gives a schematic diagram of the charge pump CP unit and the generic TIs modeling module in the TI-CP-Boost power electronic converter. The charge pump CP unit includes a capacitor (C)P) And a pair of diodes, i.e. charging diodes (D)C) And a discharge diode (D)O) And a C terminal, an O terminal and a P terminal, the capacitor (C)P) One end is connected with the C terminal, and the other end is connected with a charging diode (D)C) Cathode and discharge diode (D)O) The charging diode (D)C) The other end is connected with a P terminal, and the discharge diode (D)O) The other end is connected with an O terminal. Comparing the characteristics with a target power electronic converter to determine the charge pump CThe P cell is at the interface terminal position in the target power electronic converter to be modeled.
The switching signal flow diagram of the model of the charge pump CP unit is shown in FIG. 6, and includes a P terminal voltage node
Figure BDA00024743242700000610
C terminal voltage node
Figure BDA00024743242700000611
Charge pump capacitor voltage node
Figure BDA00024743242700000612
P terminal current node o iPC terminal current node o iCO terminal current node oiO. The P terminal voltage node
Figure BDA00024743242700000613
To charge pump capacitor voltage node
Figure BDA00024743242700000614
Has a gain of 1, the C terminal voltage node
Figure BDA00024743242700000615
To charge pump capacitor voltage node
Figure BDA00024743242700000616
Has a gain of-1, the charge pump capacitor voltage node
Figure BDA00024743242700000617
Current node o i to C terminalCHas a gain of sCPThe C terminal current node o iCCurrent node o i to P terminalPHas a gain of 1, the O terminal current node O iOCurrent node o i to P terminalPThe gain of (a) is-1. Because the model structures of the large signal model and the steady-state model are the same as those of the small signal model, the large signal model, the steady-state model and the steady-state model only need to obtain the small signal variable (such as the small signal variable) in the large signal model, the steady-state model and the steady-state model
Figure BDA00024743242700000618
) Substitution with large signal variables (e.g. v)p) Or steady state variables (e.g. V)p) I.e. so only a small signal model thereof is given here in the drawings.
The charge pump CP unit small signal model shown in fig. 6 can also be expressed by an equation system composed of state variables of the charge pump CP unit small signal as follows:
Figure BDA0002474324270000071
the small signal state variables of the CP unit of the charge pump comprise: p terminal voltage small signal
Figure BDA0002474324270000072
Small signal of C terminal voltage
Figure BDA0002474324270000073
Charge pump capacitor voltage small signal
Figure BDA0002474324270000074
P terminal current small signal
Figure BDA0002474324270000075
Small signal of C terminal current
Figure BDA0002474324270000076
Small signal of O terminal current
Figure BDA0002474324270000077
Charge pump capacitor CP。
Step 2, constructing an equivalent TIS-CP modeling module, and determining a large signal model, a steady-state model and a small signal model of the equivalent TIS-CP modeling module according to the connection mode of the CP unit of the charge pump and the general TIS module;
equivalent TIS-CP modeling Module As shown in FIGS. 7 and 9, all components of the Charge Pump CP Unit and the common TIS modeling Module, with the output diode D of the Charge Pump CP UnitOIs multiplexed intoAnd 4 terminals, namely a No. 0 terminal, a No. 1 terminal, a No. 2 terminal and a P terminal, can be led out of the complementary switch (K (d')) of the universal TIS modeling module. And (3) constructing an equivalent TIS-CP modeling module of the target converter, namely embedding a model of the pre-established CP unit of the charge pump into the general TIS modeling module to obtain the target converter. The operation should be combined with the port connection mode of the CP unit and the general TIS modeling module to analyze the current i of the P terminal in the CP unitP1-terminal current i in a general TIS modeling module1And 0 terminal current i0The influence of (a); analysing the charge pump CP Unit C terminal Voltage vCAnd 1-terminal voltage v in the general TIS modeling module1And 0 terminal voltage v0The relationship (2) of (c).
Since the C terminal of the charge pump CP cell will exist inside the TIS-CP modeling module after nesting, the C terminal voltage v of the charge pump CP cell can be adjustedCModeling the 1-terminal voltage v in the module with the universal TIS1And 0 terminal voltage v0Indicates that the current i of the C terminal is setCWith charge pump capacitor current icpIndicating that the C terminal may be further deleted. Since the O terminal of the charge pump CP unit and the No. 2 terminal of the general TIS modeling module are the same terminal in the equivalent TIS-CP module, they can be merged, i.e., unified as the No. 2 terminal. And modifying corresponding equations in the CP unit model of the charge pump and the general TIS modeling module according to the analysis result, and connecting the equations in the large signal model, the steady state model and the small signal model of the CP unit model of the charge pump and the general TIS modeling module respectively to obtain the large signal model, the steady state model and the small signal model of the equivalent TIS-CP modeling module of the target converter.
Step 3, determining an external linear network of the equivalent TIS-CP modeling module according to the topology of the target power electronic converter and the equivalent TIS-CP modeling module;
the equivalent TIS-CP module external linear network includes all components in the target power electronic converter except for components in the equivalent TIS-CP module. When an external linear network of the equivalent TIS-CP modeling module is determined, the equivalent TIS-CP modeling module is topologically compared with the target power electronic converter, and the interface position of the equivalent TIS-CP modeling module in the target power electronic converter to be modeled is determined, wherein the interface position comprises a No. 0 terminal, a No. 1 terminal, a No. 2 terminal and a P terminal; and after the interface position of the equivalent TIS-CP modeling module is determined, the equivalent TIS-CP modeling module surrounded by the four terminals is obtained, and the rest part is the external linear network of the equivalent TIS-CP modeling module.
Step 4, determining a state equation of an external linear network of the target power electronic converter equivalent TIS-CP module and internal parameters of the target power electronic converter equivalent TIS-CP module, wherein the internal parameters comprise an effective turn ratio and excitation inductance of the general coupling inductance;
the exciting inductance of the general coupling inductance is LmWith a parasitic impedance parameter of r1、r2And r0Wherein r is1Is the sum of parasitic impedance of No. 1 terminal branch r2Is the sum of parasitic impedance of No. 2 terminal branch r0The effective turn ratio a is the sum of the parasitic impedances of the zero terminal branch and the excitation inductance L of the general coupling inductancemThe calculation formula of (2) is as follows:
Figure BDA0002474324270000081
Figure BDA0002474324270000082
in the formula, N10Number of coupled inductor turns, N, between terminal No. 1 and terminal No. 0 of general TIS module20Calculating N for the number of coupling inductance turns between the No. 2 terminal and the No. 0 terminal of the general TIS module10And N20In the case of direct connection, the winding takes '+' if the same-name end of the actual winding is connected, and takes '-' and N if the opposite end is connected1Number of turns of primary winding of transformer for target power electronic converter, L1The inductance of the primary winding of the transformer of the target power electronic converter.
Step 5, substituting the external linear network state equation of the equivalent TIS-CP module of the target power electronic converter and the internal parameters of the equivalent TIS-CP module of the target power electronic converter into each model of the equivalent TIS-CP module established in the step 2 to obtain a model of the target power electronic converter to be modeled;
and 6, obtaining a steady state solution according to the steady state model of the target power electronic converter, and substituting the steady state solution into the small signal model of the target power electronic converter to obtain the small signal transfer function of the power electronic converter.
Examples
In order to verify the effectiveness of the scheme, the TI-CP-Boost power electronic converter is used as a modeling object, and the modeling steps of the scheme are detailed.
The main parameters of the TI-CP-Boost power electronic converter shown in fig. 5 are as follows, where Vg is 120V, R is 200Ohm, Co is 47uF, f is 50kHz, and L is excitation inductance156uH, transformer equivalent leakage inductance (secondary side) LlkThe primary and secondary turns ratio n of the transformer is 0.5, and the charge pump capacitance Cp is 1 uF. The modeling method for the power electronic converter comprising the coupling inductor and the charge pump unit comprises the following implementation steps:
step 1, analyzing a target power electronic converter structure to be modeled, and identifying a general charge pump CP unit and a general TIS modeling module in a target topology.
And 2, analyzing the connection mode of the CP unit of the charge pump and the general TIS module, and embedding a model of the CP unit of the charge pump built in advance into the general TIS modeling module to obtain an equivalent TIS-CP modeling module of the target power electronic converter.
The charge pump CP unit in the TI-CP-Boost power electronic converter and the external branch large-signal model thereof connected with the general TIs modeling module are shown in fig. 8. According to the branch circuit connected with the CP unit of the charge pump and the general TIS modeling module, the following relation between the variables of the two modules can be obtained:
i0c＝-niP
i1c＝-(n+1)iP
iO＝i2c
vLmcp＝-a(1-d)vcp
vC＝(n+1)v1-nv0
wherein i0cp、i1cpAnd i2cpRespectively, the 0, 1 and 2 terminal current components, v, of the common TIS modeling module caused by the charge pump CP cellLmcpThe excitation inductance voltage component of the generic TIS modeling module caused by the charge pump CP unit.
Meanwhile, the following relation of terminal currents in the general TIS modeling module is considered:
i0＝i1+i2
the large signal model of the equivalent TIS-CP modeling module can be obtained by modifying the large signal model equations of the CP unit of the charge pump and the general TIS modeling module and then combining the equations as follows:
Figure BDA0002474324270000091
step 3, analyzing the topology of the target power electronic converter to be modeled, dividing the target power electronic converter into an equivalent TIS-CP modeling module and an external linear network of the equivalent TIS-CP modeling module, and constructing a TIS-CP equivalent circuit of the target power electronic converter, which is composed of the target switch conversion equivalent TIS-CP module and the external linear network of the target power electronic converter equivalent TIS-CP module, as shown in FIG. 9;
and 4, determining a state equation of the external linear network of the equivalent TIS-CP module of the target power electronic converter. According to an external linear network of an equivalent TIS-CP module in the TIS-CP-Boost converter, the state equation of the external linear network is obtained as follows:
Figure BDA0002474324270000101
wherein the load impedance ZoutComprises the following steps:
Figure BDA0002474324270000102
and internal parameters of target power electronic converter equivalent TIS-CP moduleNumber, excitation inductance L including effective turn ratio a, general coupling inductancemThe following were used:
Figure BDA0002474324270000103
Figure BDA0002474324270000104
in the formula, N10The number of coupling inductance turns N between equivalent TIS- CP module terminals 1 and 0 of the TIS-CP-Boost power electronic converter20The number of coupling inductance turns N between the equivalent TIS- CP module terminals 2 and 0 of the TIS-CP-Boost power electronic converter1Is the number of turns of the primary winding of the transformer of the TIS-CP-Boost power electronic converter, L1And (3) inductance of a primary winding of a transformer of the power electronic converter for modeling the TIS-CP-Boost switch.
And 5, substituting the external linear network state equation of the equivalent TIS-CP module of the target power electronic converter and the internal parameters of the equivalent TIS-CP module of the target power electronic converter into the steady-state model, the large signal model or the small signal model of the equivalent TIS-CP module to obtain the steady-state model, the large signal model or the small signal model of the target power electronic converter to be modeled.
The large-signal model of the TIS-CP-Boost power electronic converter shown in fig. 10 can also be expressed by the form of a system of equations as follows:
Figure BDA0002474324270000111
Figure BDA0002474324270000112
the steady state model of the TIS-CP-Boost power electronic converter shown in fig. 11 can also be expressed in terms of a system of equations as follows:
Figure BDA0002474324270000113
Figure BDA0002474324270000114
from the steady state model equation, the steady state solution expression can be found as follows:
Vcp＝nVg
Figure BDA0002474324270000115
Figure BDA0002474324270000116
the small-signal model of the TIS-CP-Boost power electronic converter shown in fig. 12 can also be expressed by the form of a system of equations as follows:
Figure BDA0002474324270000121
Figure BDA0002474324270000122
wherein the gain ZoutThe expression of (a) is:
Figure BDA0002474324270000123
and 6, obtaining a steady state solution according to the steady state model of the target power electronic converter, and substituting the steady state solution into the small signal model of the target power electronic converter to obtain a small signal transfer function of the converter for further analysis and calculation.
Substituting the steady state solution obtained in the step 5 into a small signal model of the TIS-CP-Boost power electronic converter to obtain a small signal transfer function from control to output of the converter as follows:
Figure BDA0002474324270000124
substituting the simulation parameters in the example into the above formula, the small signal transfer function of the TI-CP-Boost can be obtained as follows:
Figure BDA0002474324270000125
fig. 13 shows the comparison between the frequency domain characteristic bode diagram of the TI-CP-Boost power electronic converter from control to output calculated by the modeling method and the frequency domain characteristic bode diagram from control to output obtained by simulation, which shows that the two have a high matching degree, and the simulation result verifies the correctness of the modeling method.

Claims (10)

1. A method of modelling a power electronic converter comprising a coupled inductor and a charge pump unit, comprising the steps of:
step 1, constructing a load pump CP unit and a TIS modeling module, and determining models of the load pump CP unit and the general TIS modeling module, wherein the models comprise a steady-state model, a large signal model and a small signal model;
step 2, constructing an equivalent TIS-CP modeling module, and determining a large signal model, a steady-state model and a small signal model of the equivalent TIS-CP modeling module according to the connection mode of the CP unit of the charge pump and the general TIS module;
step 3, determining an external linear network of the equivalent TIS-CP modeling module according to the topology of the target power electronic converter and the equivalent TIS-CP modeling module;
step 4, determining a state equation of an external linear network of the target power electronic converter equivalent TIS-CP module and internal parameters of the target power electronic converter equivalent TIS-CP module, wherein the internal parameters comprise an effective turn ratio and excitation inductance of the general coupling inductance;
and 5, substituting the external linear network state equation of the equivalent TIS-CP module of the target power electronic converter and the internal parameters of the equivalent TIS-CP module of the target power electronic converter into each model of the equivalent TIS-CP module established in the step 2 to obtain a model of the target power electronic converter to be modeled.
2. According to claim 1The modeling method of the power electronic converter with the coupling inductor and the charge pump unit is characterized in that in the step 1, the constructed CP unit of the charge pump comprises a capacitor (C)P) And a pair of diodes, i.e. charging diodes (D)C) And a discharge diode (D)O) And a C terminal, an O terminal and a P terminal, the capacitor (C)P) One end is connected with the C terminal, and the other end is connected with a charging diode (D)C) Cathode and discharge diode (D)O) The charging diode (D)C) The other end is connected with a P terminal, and the discharge diode (D)O) The other end is connected with an O terminal.
3. A method of modelling a power electronic converter including a coupled inductor and a charge pump CP unit according to claim 2, wherein the large signal model of the charge pump CP unit is represented as:
Figure FDA0002474324260000011
the steady state model is represented as:
Figure FDA0002474324260000012
the small signal model is represented as:
Figure FDA0002474324260000021
wherein, the voltage of the capacitor CP of the charge pump is a large signal vcpWith steady-state signal of VcpSmall signal is
Figure FDA0002474324260000022
The current of the charge pump capacitor CP is large signal icpWith a steady-state signal of IcpSmall signal is
Figure FDA0002474324260000023
The P terminal voltage is a large signal vPWith steady-state signal of VPSmall signal is
Figure FDA0002474324260000024
The P terminal current large signal is iPWith a steady-state signal of IPSmall signal is
Figure FDA0002474324260000025
The voltage of the C terminal is a large signal vCWith steady-state signal of VCSmall signal is
Figure FDA0002474324260000026
The large current signal of the C terminal is iCWith a steady-state signal of ICSmall signal is
Figure FDA0002474324260000027
The large current signal of the O terminal is iOWith a steady-state signal of IOSmall signal is
Figure FDA0002474324260000028
The charge pump capacitance is CP。
4. Method for modelling a power electronic converter comprising a coupled inductor and a charge pump unit according to claim 1, characterized in that in step 1 the generic TIS modelling module is constructed comprising a generic coupled inductor primary winding (N)10) General coupled inductor secondary winding (N)20) And a general TIS module excitation inductor (L)m) 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 and a No. 0 terminal, wherein one end of the active switch (K (d)) is connected with the No. 1 terminal, and the other end is connected with an excitation inductor (L) of the general coupling inductorm) And primary winding (N) of the 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) The other end, the secondary winding (N) of the general coupling inductor20) One end of the complementary switch (K (d ')) is connected with one end of the complementary switch (K (d ')), and the other end of the complementary switch (K (d ')) is connected with the No. 2 terminal.
5. A modeling method applied to a power electronic converter comprising a coupled inductor and a charge pump unit according to claim 4, characterized in that the large signal model of the generic TIS modeling module is represented as:
Figure FDA0002474324260000029
the steady state model is represented as:
Figure FDA00024743242600000210
the small signal model is represented as:
Figure FDA0002474324260000031
wherein, the large signal of the No. 1 terminal voltage is v1With steady-state signal of V1Small signal is
Figure FDA0002474324260000032
The large signal of No. 2 terminal voltage is v2With steady-state signal of V2Small signal is
Figure FDA0002474324260000033
Terminal voltage 0 is large signal v0With steady-state signal of V0Small signal is
Figure FDA0002474324260000034
The large current signal of the No. 1 terminal is i1With a steady-state signal of I1Small signal is
Figure FDA0002474324260000035
The large current signal of No. 2 terminal is i2Is stableThe state signal is I2Small signal is
Figure FDA0002474324260000036
The large current signal of the No. 0 terminal is i0With a steady-state signal of I0Small signal is
Figure FDA0002474324260000037
The excitation inductance voltage is a large signal vLmWith steady-state signal of VLmSmall signal is
Figure FDA0002474324260000038
The excitation inductance current is large signal iLmWith a steady-state signal of ILmSmall signal is
Figure FDA0002474324260000039
The large signal parameter of the converter duty ratio is D, the steady-state signal is D, and the small signal is D
Figure FDA00024743242600000310
Converter operating frequency of fs(ii) a The effective turn ratio of the general TIS module is a; the parasitic resistance of the coupling inductor of the converter is r; the excitation inductance of the converter is Lm.
6. Method for modelling a power electronic converter comprising a coupled inductor and a charge pump unit according to claim 1, characterized in that in step 2 the equivalent TIS-CP modelling module is constructed comprising all the components of the charge pump CP unit and the generic TIS modelling module, wherein the output diode (D) of the charge pump CP unitO) The terminal is multiplexed as a complementary switch (K (d')) of the general TIS modeling module, and 4 terminals are led out from the external terminal, namely a No. 0 terminal, a No. 1 terminal, a No. 2 terminal and a P terminal.
7. Method for modelling a power electronic converter comprising a coupled inductor and a charge pump unit according to claim 1, characterized in that said equivalent TIS-CP modelling module is adapted to model the charge to be builtThe model of the pump CP unit is embedded in a general TIS modeling module, and the C terminal voltage (v) of the charge pump CP unit is stored in the TIS-CP modeling module after being nestedC) Modeling the 1-terminal voltage (v) in the module with the general TIS1) And 0 terminal voltage (v)0) Indicates that the current (i) of the C terminal is appliedC) With charge pump capacitance current (i)cp) Indicating that the C terminal is further deleted; since the O terminal of the charge pump CP unit and the No. 2 terminal of the general TIS modeling module in the equivalent TIS-CP module are the same terminal, the O terminal and the No. 2 terminal are combined, namely unified into the No. 2 terminal; and modifying corresponding equations in the CP unit model of the charge pump and the general TIS modeling module according to the analysis result, and connecting the equations in the large signal model, the steady state model and the small signal model of the CP unit model of the charge pump and the general TIS modeling module respectively to obtain the large signal model, the steady state model and the small signal model of the equivalent TIS-CP modeling module of the target converter.
8. The modeling method applied to the power electronic converter with the coupling inductor and the charge pump unit as claimed in claim 1, wherein in step 3, the equivalent TIS-CP module external linear network comprises all components in the target power electronic converter except for components in the equivalent TIS-CP module, when the equivalent TIS-CP modeling module external linear network is determined, the equivalent TIS-CP modeling module is compared with the target power electronic converter in a topological way, and the interface position of the equivalent TIS-CP modeling module in the target power electronic converter to be modeled comprises a No. 0 terminal, a No. 1 terminal, a No. 2 terminal and a P terminal; and after the interface position of the equivalent TIS-CP modeling module is determined, the equivalent TIS-CP modeling module surrounded by the four terminals is obtained, and the rest part is the external linear network of the equivalent TIS-CP modeling module.
9. A modeling method applied to a power electronic converter comprising a coupling inductor and a charge pump unit according to claim 1, characterized in that in step 4, an effective turn ratio a, an excitation inductor L of a general coupling inductor are determinedmThe specific method comprises the following steps:
Figure FDA0002474324260000041
Figure FDA0002474324260000042
in the formula, N10Number of coupled inductor turns, N, between terminal No. 1 and terminal No. 0 of general TIS module20Calculating N for the number of coupling inductance turns between the No. 2 terminal and the No. 0 terminal of the general TIS module10And N20In the case of direct connection, the winding takes '+' if the same-name end of the actual winding is connected, and takes '-' and N if the opposite end is connected1Number of turns of primary winding of transformer for target power electronic converter, L1The inductance of the primary winding of the transformer of the target power electronic converter.
10. A modeling method for a power electronic converter including a coupled inductor and a charge pump unit according to claim 1, wherein the method further comprises the steps of:
and obtaining a steady state solution according to the steady state model of the target power electronic converter, and substituting the steady state solution into the small signal model of the target power electronic converter to obtain the small signal transfer function of the power electronic converter.
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