CN110362865B - Multi-scale modeling method for power electronic converter based on coarse-fine scale conversion - Google Patents

Multi-scale modeling method for power electronic converter based on coarse-fine scale conversion Download PDF

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CN110362865B
CN110362865B CN201910504327.5A CN201910504327A CN110362865B CN 110362865 B CN110362865 B CN 110362865B CN 201910504327 A CN201910504327 A CN 201910504327A CN 110362865 B CN110362865 B CN 110362865B
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electronic converter
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张波
郭珊珊
谢帆
丘东元
陈艳峰
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South China University of Technology SCUT
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Abstract

A multi-scale modeling method of a power electronic converter based on thickness-scale conversion comprises the steps of firstly, establishing single-scale models of the power electronic converter on different scales to obtain expressions of a multi-scale process on different scales; then reconstructing a multi-scale process in the power electronic converter based on thickness-scale transformation in a wavelet multi-scale analysis theory, and fusing expressions of the multi-scale process in different scale models; then finding out correlation functions among variables on different scales, and establishing coupling relations among models of different scales; and finally, substituting the expression of the reconstructed multi-scale process into the single-scale model or the coupling relation, and correcting the model or the coupling relation to obtain the required multi-scale model. Compared with the traditional single-scale modeling, the method provided by the invention can reflect the dynamic characteristics of the power electronic converter on various scales, can reflect the change generated by the dynamic characteristics of the converter when the phenomena on various scales are considered simultaneously, and the simulation result is more suitable for the actual situation.

Description

Multi-scale modeling method for power electronic converter based on coarse-fine scale conversion
Technical Field
The invention relates to the technical field of power electronic converters, in particular to a multi-scale modeling method of a power electronic converter based on thickness-scale conversion.
Background
When the power electronic converter operates, dynamic processes existing on multiple scales such as device scale, circuit scale and the like exist, at present, a single-scale modeling mode is usually adopted for simulation modeling of the power electronic converter, each model only aims at local specific problems, and other phenomena are selected to be ignored. The state space average method adopted on the circuit scale can intuitively and clearly describe the input-output relation, the internal dynamic characteristics and other characteristics of the converter, but the influence of power electronic devices such as IGBT on the system stability and the power loss cannot be ignored. However, the micro-scale model built only for the device does not reflect the overall characteristics of the transducer and contains a large amount of invalid information. Therefore, a multi-scale model must be established to observe the circuit steady-state characteristics and the device transient characteristics simultaneously.
The difficulty of establishing a unified model for a power electronic system is that the actual system is multi-level and comprises a plurality of dynamic processes on different time scales, all the processes are combined to form a pathological mathematical equation, and the numerical stability in the solving process cannot be guaranteed. Wavelet transformation is widely applied to the research of scale problems, and multi-scale modeling is the core content of wavelet analysis, wherein the operation of converting variables or equations on a certain scale to different scales through wavelet transformation is called thick-thin scale transformation. In the field of signal processing, a multi-scale random modeling method and a multi-scale fusion method are already provided based on a wavelet multi-scale analysis theory, an effective optimal information processing algorithm is helped to be established, the introduction of the wavelet multi-scale analysis theory can solve the algorithm dilemma encountered by multi-scale joint solution, and the methods can be applied to other fields by slight modification.
Disclosure of Invention
The invention aims to overcome the defects of the existing single-scale simulation model, solve the problem that the numerical stability cannot be ensured in the multi-scale model solving process, and provide a multi-scale modeling method of a power electronic converter based on thickness scale conversion, which can reflect the dynamic characteristics of the power electronic converter on various scales and reflect the change generated by the dynamic characteristics of the converter when the phenomena on various scales are considered simultaneously, so that the simulation result is more fit with the actual situation.
In order to achieve the purpose, the technical scheme provided by the invention is as follows: a multi-scale modeling method of a power electronic converter based on thickness-scale conversion comprises the steps of firstly, establishing single-scale models of the power electronic converter on different scales to obtain expressions of a multi-scale process on different scales; then reconstructing a multi-scale process in the power electronic converter based on thickness-scale transformation in a wavelet multi-scale analysis theory, and fusing expressions of the multi-scale process in different scale models; then finding out correlation functions among variables on different scales, and establishing coupling relations among models of different scales; and finally, substituting the expression of the reconstructed multi-scale process into the single-scale model or the coupling relation, and correcting the model or the coupling relation to obtain the required multi-scale model.
Further, the single-scale model comprises a model of a converter circuit, a model of a device contained in the converter, a control model of the converter and various physical field models of the converter.
Further, the correlation function refers to a functional expression of a state variable comprising a single-scale model on two or more different scales.
Further, the recursive formula of the coarse-fine scale transformation is as follows:
the recursive expression from coarse scale to fine scale is:
x(k)＝A(k)x(k-1)
the recursive expression from fine scale to coarse scale is:
x(k-1)＝F(k)x(k)
wherein k represents the degree of scale, x (k) represents an expression of the multi-scale process on the scale k, x (k-1) represents an expression of the multi-scale process on the scale k-1, and A (k) and F (k) are wavelet functions in an orthogonal relationship on the scale k.
Compared with the prior art, the invention has the following advantages and beneficial effects:
1. variable-scale reconstruction is carried out on the multi-scale process through thickness-scale transformation based on a wavelet multi-scale analysis theory, and expressions of the multi-scale process on all scales are fused together, so that all processes in the multi-scale model are accurately described.
2. The dilemma of the multi-scale model simulation algorithm is solved by utilizing the multi-scale characteristics of the wavelet, and the stability of the algorithm is optimized.
3. The multi-scale model can describe the dynamic characteristics of the power electronic converter on different scales, can reflect the change of the dynamic characteristics when the phenomena on various scales are considered simultaneously, and the information conveyed by the model is richer and more accurate.
4. The result obtained by the multi-scale model simulation can provide reference for the production design of the converter, and has practical significance for reducing equipment cost, avoiding equipment failure and calculating the service life of equipment.
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FIG. 1 is a flow chart of the method of the present invention.
FIG. 2 is an equivalent circuit diagram of multi-scale modeling of a buck converter based on a coarse-and-fine scale conversion.
FIG. 3 shows voltage drop u 'between collector and emitter of IGBT in the embodiment'ceThe waveform of (2).
FIG. 4a shows the filter inductor current i in one embodimentLThe waveform of (2).
FIG. 4b shows the filter inductor current i in one embodimentLThe local waveform of (a).
FIG. 5 shows the filter capacitor voltage u according to one embodimentCThe waveform of (2).
Detailed Description
To further illustrate the content and features of the present invention, the following detailed description of the embodiments of the present invention is provided with reference to the accompanying drawings, but the present invention is not limited thereto.
As shown in fig. 1, the multi-scale modeling method for a power electronic converter based on coarse-fine scale transformation provided in this embodiment specifically includes:
firstly, establishing single-scale models of the power electronic converter on different scales to obtain the expression of a multi-scale process on each different scale, wherein the single-scale models comprise a model of a converter circuit, a model of a device contained in the converter, a control model of the converter and various physical field models of the converter;
then, reconstructing a multi-scale process in the power electronic converter based on the thickness-scale transformation in the wavelet multi-scale analysis theory, and fusing the expressions of the multi-scale process in different scale models, wherein the recursive formula of the thickness-scale transformation is as follows:
the recursive expression from coarse scale to fine scale is:
x(k)＝A(k)x(k-1)
the recursive expression from fine scale to coarse scale is:
x(k-1)＝F(k)x(k)
wherein k represents the degree of scale, x (k) represents an expression of the multi-scale process on the scale k, x (k-1) represents an expression of the multi-scale process on the scale k-1, and A (k) and F (k) are wavelet functions in an orthogonal relation on the scale k;
then, finding out correlation functions among variables on different scales, and establishing a coupling relation among models on different scales, wherein the correlation functions refer to function expressions of state variables of single-scale models containing two or more different scales;
and finally, substituting the expression of the reconstructed multi-scale process into the single-scale model or the coupling relation, and correcting the model or the coupling relation to obtain the required multi-scale model.
The method of the present embodiment is specifically described below by taking a buck converter as an example, and an equivalent circuit of the buck converter is shown in fig. 2. For the sake of convenience of verification, devices other than the IGBT in the circuit structure are all regarded as ideal devices.
In a circuit scale model of the buck converter, the voltage u at the IGBT terminalceThe expression is as follows:
Figure BDA0002091265440000041
let the total current of the IGBT anode be iTAnd the total residual charge of the base region is Q, and in the IGBT device scale model, the relationship among terminal voltage, total anode current and total residual charge of the base region when the IGBT is switched on and off meets the following requirements:
Figure BDA0002091265440000042
Figure BDA0002091265440000043
the state space equation of the IGBT anode current consists of a circuit parasitic inductance LlInput voltage uSDetermined in conjunction with the circuit load R, expressed as
Figure BDA0002091265440000051
The expression of the voltage of the IGBT terminal on the scale of the device is solved as uce(t,1)。
Selecting HAAR wavelet transform to IGBT terminal voltage ucePerforming multi-scale fusion reconstruction to obtain reconstructed u'ceIs expressed as
u'ce(t)＝∫h1(t)uce(t,0)+∫h2(t)uce(t,1) (5)
Wherein h is1(t) and h2(t) are each independently
Figure BDA0002091265440000052
Let the L current of the filter inductor be iLThe voltage of the filter capacitor C is uC. The state space equation of the buck converter during operation can be written as
Figure BDA0002091265440000053
Figure BDA0002091265440000054
Taking the total conducting area A of the IGBT as 0.1cm2Lifetime of base minority carriers τp7.1 mus, emitter electron saturation current Isne＝6×10-14A, intrinsic carrier concentration ni＝1.45×1010/cm3Doping concentration N of base regionB＝2×1014/cm2The ratio b of bipolar mobility is 10/3, and the DC power supply voltage uS150V, parasitic inductance Ll1.4 muh, filter inductance L3 mH, filter capacitance C2 muf, load resistance R20 Ω, and duty ratio D0.6.
The voltage between the collector and emitter of the IGBT is u 'obtained from the formulas (1) to (7)'ceWaveforms as shown in fig. 3, it can be seen that the multi-scale model can reflect the voltage overshoot characteristics occurring during the transient of the turn-on and turn-off of the IGBT.
The filter inductor current i can be obtained from the formulas (1) to (7)LIs shown in fig. 4a and the filter capacitor voltage uCThe waveform of (2) is shown in FIG. 5, the steady-state value of the filter inductor current IL4.5A, filter capacitor voltage steady state value UCThe design requirement that the buck ratio of the converter is equal to the duty ratio D of 0.6 is met when the voltage of the converter is 89.7V, and therefore the multi-scale model can reflect the steady-state characteristic that the filter inductance current and the filter capacitor voltage in the converter gradually rise and finally tend to be stable.
Filter inductor current iLThe local waveform of (a) is shown in fig. 4b, and it can be known that the filter inductor current waveform has a small distortion at the tip due to the influence of the IGBT switching transient.
The analysis shows that the buck converter multi-scale modeling process based on the coarse-fine scale conversion can reflect the switching transient characteristics of the IGBT device and the circuit steady-state characteristics of the buck converter, and has the advantage of reflecting the influence of the terminal voltage overshoot phenomenon on the converter circuit current in the switching process of the IGBT device.
The above embodiments are preferred embodiments of the present invention, but the present invention is not limited to the above embodiments, and any other changes, modifications, substitutions, combinations, and simplifications which do not depart from the spirit and principle of the present invention should be construed as equivalents thereof, and all such changes, modifications, substitutions, combinations, and simplifications are intended to be included in the scope of the present invention.

Claims (4)

1. A multi-scale modeling method of a power electronic converter based on coarse-fine scale conversion is characterized by comprising the following steps: firstly, establishing a single-scale model of the power electronic converter on different scales to obtain the expression of a multi-scale process on each different scale; then reconstructing a multi-scale process in the power electronic converter based on thickness-scale transformation in a wavelet multi-scale analysis theory, and fusing expressions of the multi-scale process in different scale models; then finding out correlation functions among variables on different scales, and establishing coupling relations among models of different scales; and finally, substituting the expression of the reconstructed multi-scale process into the single-scale model or the coupling relation, and correcting the model or the coupling relation to obtain the required multi-scale model.
2. The multi-scale modeling method for the power electronic converter based on the coarse-fine scale transformation as claimed in claim 1, characterized in that: the single-scale model comprises a model of a converter circuit, a model of a device contained in the converter, a control model of the converter and various physical field models of the converter.
3. The multi-scale modeling method for the power electronic converter based on the coarse-fine scale transformation as claimed in claim 1, characterized in that: the correlation function refers to a functional expression that contains state variables of a single-scale model at two or more different scales.
4. The multi-scale modeling method for the power electronic converter based on the coarse-fine scale transformation as claimed in claim 1, characterized in that: the recursive formula of the coarse-fine scale transformation is as follows:
the recursive expression from coarse scale to fine scale is:
x(k)＝A(k)x(k-1)
the recursive expression from fine scale to coarse scale is:
x(k-1)＝F(k)x(k)
wherein k represents the degree of scale, x (k) represents an expression of the multi-scale process on the scale k, x (k-1) represents an expression of the multi-scale process on the scale k-1, and A (k) and F (k) are wavelet functions in an orthogonal relationship on the scale k.
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CN108566089A (en) * 2018-05-24 2018-09-21 合肥工业大学 The output feedback voltage control method of buck DC-DC converter system

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CN101226936B (en) * 2007-12-29 2011-11-23 湖南大学 Switching current wavelet translation device
CN103997219B (en) * 2013-02-20 2017-04-12 台达电子工业股份有限公司 Power convert and power conversion method
CN103714045A (en) * 2014-01-09 2014-04-09 北京理工大学 Information fusion estimation method for asynchronous multi-rate non-uniform sampled observation data

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Publication number Priority date Publication date Assignee Title
KR100947319B1 (en) * 2009-09-17 2010-03-16 현대통신 주식회사 Mailing service system using a wall-pad and method thereof
EP2529462A2 (en) * 2010-01-26 2012-12-05 Vestas Wind Systems A/S Method for emulation of synchronous machine
CN108566089A (en) * 2018-05-24 2018-09-21 合肥工业大学 The output feedback voltage control method of buck DC-DC converter system

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