CN111581799B - 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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CN111581799B
CN111581799B CN202010358627.XA CN202010358627A CN111581799B CN 111581799 B CN111581799 B CN 111581799B CN 202010358627 A CN202010358627 A CN 202010358627A CN 111581799 B CN111581799 B CN 111581799B
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charge pump
power electronic
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CN111581799A (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 modeling of a complex nonlinear part including the charge pump unit, a part of inductive elements and a switching device in the hybrid coupling inductance high-gain topology containing the charge pump unit can be completed in advance through the TIS-CP modeling module, and on the basis, a linear network state equation outside the equivalent TIS-CP module is only needed 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 switching 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 equivalent TIS-CP module of the target power electronic converter and internal parameters of the equivalent TIS-CP module of the target power electronic converter, 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 generic 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 charge pump CP unit, and then adding the charge pump 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 coupling inductance secondary winding (N) 20 ) And a general TIS module excitation inductor (L) m ) A pair of switches of PWM operating in complementary mode, namely an active switch (K (d)) and a complementary switch (K (d')), and a No. 1 terminal, a No. 2 terminal and a No. 0 terminal, wherein the active switch (K (d)) is connected with the No. 1 terminal at one end and is connected with an excitation inductor (L)) of the general coupling inductor at the other end m ) And primary winding (N) of the general coupling inductor 10 ) One terminal, excitation inductance (L) of the general coupling inductance m ) The other end is connected with a No. 0 terminal and a primary winding (N) of a general coupling inductor 10 ) The other end, the secondary winding (N) of the general coupling inductor 20 ) 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. And comparing the general TIS modeling module with the target power electronic converter according to the characteristics to determine the position of the interface terminal of the general TIS modeling module in the target power electronic converter to be modeled.
The switching signal flow diagram of the large signal model of the general TIS modeling module is shown in FIG. 2 and comprises a terminal voltage large signal node ov 1 And a second terminal voltage large signal node ov 2 Zero terminal voltage large signal node ov 0 First terminal current large signal node oi 1 Node oi of large signal of second terminal current 2 Zero terminal current large signal node oi 0 Excitation inductance voltage large signal node ov Lm Excitation inductive current large signal node oi Lm A zero terminal voltage large signal node ov 10 Two-zero terminal voltage large signal node ov 20 The first terminal voltage large signal node ov 1 To one-zero terminal voltage large signal node ov 10 D, the zero terminal voltage large signal node ov 0 To a zero terminal voltage large signal node ov 10 Gain is-1, and the zero terminal voltage is a large signal node ov 0 To two zero terminal voltageLarge signal node ov 20 Has a gain of-1, and the one-terminal-voltage large-signal node ov 10 To excitation inductance voltage large signal node ov Lm D, the two-zero terminal voltage large signal node ov 20 To excitation inductance voltage large signal node ov Lm Has a (1-d), and the excitation inductance voltage large signal node ov Lm To excitation inductance current large signal node oi Lm Has a gain of
Figure BDA0002474324270000031
Excitation inductive current large signal node oi Lm Node oi with large signal current to terminal I 1 D, the excitation inductance current large signal node oi Lm Large signal node oi for current to second terminal 2 Has a gain of-ad', and the first terminal current large signal node oi 1 Large signal node oi of current to zero terminal 0 Has a gain of 1, and the node oi of the second terminal with a large current signal 2 Large signal node oi of current to zero terminal 0 The 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 during which the main switch of the target power electronic converter is turned off, a is an effective turn ratio of the universal 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 as follows by the equation set consisting of the general TIS module large signal state variables:
Figure BDA0002474324270000041
wherein, the first terminal voltage is large signal v 1 Second terminal voltage large signal v 2 Large signal v of zero terminal voltage 0 First terminal current large signal i 1 Second terminal current large signal i 2 Zero terminal current large signal i 0 Excitation deviceMagnetic inductance voltage large signal v Lm Excitation inductance current large signal i Lm The 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 flow diagram of the switching signals of the steady-state model of the general TIS modeling module is shown in figure 3 and comprises a first terminal voltage node oV 1 And terminal voltage node II o V 2 Zero terminal voltage node o V 0 First terminal current node oi 1 Second terminal current node oi 2 Zero terminal current node oi 0 Auxiliary node o 1 and excitation inductance voltage node o V Lm Excitation inductive current node oi Lm The first terminal voltage node o V 1 To the excitation inductance voltage node o V Lm Has a gain of D, and the zero terminal voltage node o V 0 To the excitation inductance voltage node o V Lm Has a gain of- (D + aD'), the zero terminal voltage node oV 0 Gain to auxiliary node o 1 is-a, and terminal voltage node two o V 2 Gain to auxiliary node o 1 is a, and terminal voltage node o V is 2 To the excitation inductance voltage node o V Lm Has a gain of aD', and the excitation inductance voltage node o V Lm To excitation inductor current node oi Lm Has a gain of
Figure BDA0002474324270000042
The excitation inductance current node oi Lm Current node I to terminal I 1 With a gain of D, said excitation inductor current node oi Lm Current node to terminal II 2 Has a gain of-aD', and the first terminal current node of 1 Current node to zero terminal oi 0 Has a gain of 1, and the second terminal current node oi 2 Current node to zero terminal oi 0 The gain of (1). In particular, in the branch gain between the nodes, D is a steady-state parameter of the duty ratio of the target power electronic converter, and D' = (1-D) is the main switch of the target power electronic converterAnd (3) steady-state parameters of the off-off time period, wherein a is the effective turn ratio of the general TIS module, and r is the 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 V Lm Excitation inductance current I Lm First terminal voltage V 1 Terminal voltage V of No. two 2 Terminal voltage V of zero 0 First terminal current I 1 Terminal II current I 2 Terminal current I of zero 0 The 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 model switching signal flow diagram is shown in FIG. 4 and comprises 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, the zero terminal voltage small signal node
Figure BDA00024743242700000513
To excitation inductance voltage small 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 V 1 +(a-1)V 0 -aV 2 The duty ratio small signal node
Figure BDA00024743242700000519
Small signal node for current to first terminal
Figure BDA00024743242700000520
Has a gain of I Lm The duty ratio small signal node
Figure BDA00024743242700000521
Small signal node for current to second terminal
Figure BDA00024743242700000522
Has a gain of-aI Lm Said 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 inductive 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
Has a 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
Zero terminal current small signal
Figure BDA0002474324270000067
Small signal of exciting inductance voltage
Figure BDA0002474324270000068
Excitation electricitySmall inductive current signal
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 converter Lm 。
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, the discharge diode (D) O ) The other end is connected with an O terminal. And comparing the CP unit with the target power electronic converter according to the characteristics to determine the position of the interface terminal of the CP unit of the charge pump 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 oi P C terminal current node oi C O terminal current node oi O . 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 oi to C terminal C Has a gain of sC P The C terminal current node oi C Current node to P terminal oi P Has a gain of 1, the O terminal current node oi O Current node oi to P terminal P The 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
C terminal voltage small signal
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 C P 。
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 modelling Module As shown in FIGS. 7 and 9, all components of the Charge Pump CP Unit, the output diode D of which is the output diode, and the generic TIS modelling Module O The terminal is multiplexed as a complementary switch (K (d')) of the general TIS modeling module, and 4 terminals can be led out from the external part of the switch, namely a No. 0 terminal, a No. 1 terminal, a No. 2 terminal and a P terminal. 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 charge pump CP unit and the general TIS modeling module to analyze the P terminal current i in the charge pump CP unit P 1-terminal current i in a general TIS modeling module 1 And 0 terminal current i 0 The influence of (a); analysing the charge pump CP Unit C terminal Voltage v C And 1-terminal voltage v in the general TIS modeling module 1 And 0 terminal voltage v 0 The relationship (2) of (c).
Since the C terminal of the charge pump CP cell will be present inside the TIS-CP modeling module after nesting, the C terminal voltage v of the charge pump CP cell can be adjusted C Modeling the 1-terminal voltage v in the module with the universal TIS 1 And 0 terminal voltage v 0 Denotes the current i of the C terminal C With charge pump capacitor current i cp Indicating 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 L m With a parasitic impedance parameter of r 1 、r 2 And r 0 Wherein r is 1 Is the sum of parasitic impedance of No. 1 terminal branch r 2 Is the sum of parasitic impedance of No. 2 terminal branch, r 0 The sum of the parasitic impedances of the zero terminal branch is the effective turn ratio aExcitation inductor L of general coupling inductor m The calculation formula of (c) is:
Figure BDA0002474324270000081
Figure BDA0002474324270000082
in the formula, N 10 Number of coupling inductance turns, N, between terminals No. 1 and No. 0 of the Universal TIS Module 20 For the number of coupling inductance turns between the No. 2 terminal and the No. 0 terminal of the general TIS module, N is calculated 10 And N 20 In 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 connected 1 Number of turns of primary winding of transformer for target power electronic converter, L 1 The 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 input voltage Vg =120V, load resistance R =200Ohm, output capacitance Co =47uF, switching frequency f =50kHz, and excitation inductance L 1 =56uH, transformer equivalent leakage inductance (secondary side) L lk =0.56 muH, primary and secondary turns ratio n =0.5 of transformer, charge pump capacitance Cp=1uF. 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:
i 0c ＝-ni P
i 1c ＝-(n+1)i P
i O ＝i 2c
v Lmcp ＝-a(1-d)v cp
v C ＝(n+1)v 1 -nv 0
wherein i 0cp 、i 1cp And i 2cp Respectively, the 0, 1 and 2 terminal current components, v, of the common TIS modeling module caused by the charge pump CP cell Lmcp The excitation inductance voltage component of the generic TIS modeling module caused by the charge pump CP unit.
Meanwhile, the following relation of terminal current in the general TIS modeling module is considered:
i 0 ＝i 1 +i 2
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 an 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 Z out Comprises the following steps:
Figure BDA0002474324270000102
and internal parameters of the equivalent TIS-CP module of the target power electronic converter comprise an effective turn ratio a and an excitation inductance L of the general coupling inductance m The following:
Figure BDA0002474324270000103
Figure BDA0002474324270000104
in the formula, N 10 The number of coupling inductance turns N between equivalent TIS- CP module terminals 1 and 0 of the TIS-CP-Boost power electronic converter 20 Is the number of coupling inductance turns, N, between the TIS- CP module terminals 2 and 0 of the TIS-CP-Boost power electronic converter equivalent 1 The number of turns of a primary winding of a transformer of a TIS-CP-Boost power electronic converter，L 1 And (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
the steady state solution expression can be obtained from the steady state model equation as follows:
V cp ＝nV g
Figure BDA0002474324270000115
Figure BDA0002474324270000116
the small-signal model of the TIS-CP-Boost power electronic converter shown in fig. 12 can also be expressed in the form of a system of equations as follows:
Figure BDA0002474324270000121
Figure BDA0002474324270000122
wherein the gain Z out The expression of (c) 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.
And (4) 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 (8)

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 equivalent TIS-CP module of the target power electronic converter and internal parameters of the equivalent TIS-CP module of the target power electronic converter, wherein the internal parameters comprise an effective turn ratio and excitation inductance of the general coupling inductance;
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;
in 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), the anode of (C), 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;
the large signal model of the charge pump CP unit is expressed as:
Figure FDA0003811665810000011
the steady state model is represented as:
Figure FDA0003811665810000012
the small signal model is represented as:
Figure FDA0003811665810000021
wherein, the voltage of the capacitor CP of the charge pump is a large signal v cp With steady-state signal of V cp The small signal is
Figure FDA0003811665810000022
The current of the charge pump capacitor CP is large signal i cp With a steady-state signal of I cp Small signal is
Figure FDA0003811665810000023
The P terminal voltage is a large signal v P With steady-state signal V P The small signal is
Figure FDA0003811665810000024
The P terminal current large signal is i P With a steady-state signal of I P The small signal is
Figure FDA0003811665810000025
The voltage of the C terminal is a large signal v C With steady-state signal V C The small signal is
Figure FDA0003811665810000026
The large current signal of the C terminal is i C With a steady-state signal of I C The small signal is
Figure FDA0003811665810000027
The large current signal of the O terminal is i O With a steady-state signal of I O Small signal is
Figure FDA0003811665810000028
The charge pump capacitance is C P 。
2. 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 the PWM operating in complementary mode, namely an active switch (K (d)) and a complementary switch (K (d')), and a terminal No. 1, a terminal No. 2, a terminal No. 0, the active switch (K (d)) being connected at one end to the terminal No. 1 and at the other end to the magnetizing inductance (L) of the general coupling inductance m ) And primary winding (N) of a common coupling inductor 10 ) One terminal, excitation inductance (L) of the general coupling inductance m ) The other end is connected with a No. 0 terminal and a primary winding (N) of the general coupling inductor 10 ) The other end, the secondary winding (N) of the general coupling inductor 20 ) 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.
3. A method of modelling a power electronic converter including a coupled inductor and a charge pump unit according to claim 2, wherein the large signal model of the generic TIS modelling module is represented as:
Figure FDA0003811665810000029
the steady state model is represented as:
Figure FDA00038116658100000210
the small signal model is represented as:
Figure FDA0003811665810000031
wherein, the large signal of the No. 1 terminal voltage is v 1 With steady-state signal V 1 Small signal is
Figure FDA0003811665810000032
The large signal of No. 2 terminal voltage is v 2 With steady-state signal of V 2 The small signal is
Figure FDA0003811665810000033
Terminal voltage 0 is large signal v 0 With steady-state signal of V 0 Small signal is
Figure FDA0003811665810000034
The large current signal of the No. 1 terminal is i 1 With a steady-state signal of I 1 Small signal is
Figure FDA0003811665810000035
The large current signal of No. 2 terminal is i 2 With a steady-state signal of I 2 The small signal is
Figure FDA0003811665810000036
The large current signal of the No. 0 terminal is i 0 With a steady-state signal of I 0 Small signal is
Figure FDA0003811665810000037
The excitation inductance voltage is a large signal v Lm With steady-state signal of V Lm Small signal is
Figure FDA0003811665810000038
The excitation inductance current is large signal i Lm With a steady-state signal of I Lm Small signal is
Figure FDA0003811665810000039
The large signal parameter of the converter duty ratio is D, the steady-state signal is D, and the small signal is D
Figure FDA00038116658100000310
Converter operating frequency of f s (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.
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 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 unit O ) 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.
5. The method of claim 1, wherein the equivalent TIS-CP modeling module embeds a model of the charge pump CP unit to be constructed into the general TIS modeling module, and the C terminal voltage (v) of the charge pump CP unit is embedded in the TIS-CP modeling module because the C terminal of the charge pump CP unit is embedded in the TIS-CP modeling module C ) Modeling the 1-terminal voltage (v) in the module with generic TIS 1 ) And 0 terminal voltage (v) 0 ) Indicates that the current (i) of the C terminal is applied C ) 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 in the equivalent TIS-CP module and the No. 2 terminal of the general TIS modeling module are the same terminal, the O terminal and the No. 2 terminal are combined, namely unified into the No. 2 terminal; according to the analysis result, corresponding equations in the CP unit model of the charge pump and the general TIS modeling module are modified, and the CP unit model of the charge pump and the general TIS modeling module are modeledEquations in the large signal model, the steady-state model and the small signal model of the module are respectively connected in a simultaneous mode, and the large signal model, the steady-state model and the small signal model of the equivalent TIS-CP modeling module of the target converter are obtained.
6. The modeling method of the power electronic converter with the coupling inductor and the charge pump unit according to claim 1, wherein in step 3, the equivalent TIS-CP module external linear network comprises all components of 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 manner, and the interface position of the equivalent TIS-CP modeling module in the target power electronic converter to be modeled comprises a terminal No. 0, a terminal No. 1, a terminal No. 2 and a terminal P; 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.
7. A method for modelling a power electronic converter comprising a coupled inductor and a charge pump unit as claimed in claim 1, wherein in step 4, the effective turn ratio a, the excitation inductance L of the common coupled inductor, and the like are determined m The specific method comprises the following steps:
Figure FDA0003811665810000041
Figure FDA0003811665810000042
in the formula, N 10 Number of coupled inductor turns, N, between terminal No. 1 and terminal No. 0 of general TIS module 20 For the number of coupling inductance turns between the No. 2 terminal and the No. 0 terminal of the general TIS module, N is calculated 10 And N 20 In 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 connected 1 Number of turns of primary winding of transformer for target power electronic converter, L 1 The inductance of the primary winding of the transformer of the target power electronic converter.
8. A method of modelling a power electronic converter including a coupled inductor and a charge pump unit according to claim 1, the method further comprising 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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