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Method for calculating transient solution of fractional-order CCM switching converter

A switching converter and fractional-order technology, which is applied in the field of modeling and analysis of fractional-order switching converters, can solve problems such as the transient process of unanalyzed fractional-order switching converters

Active Publication Date: 2017-06-30
SOUTH CHINA UNIV OF TECH
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Problems solved by technology

Literature [7] considered the fractional-order characteristics of inductance and capacitance, and analyzed the steady-state characteristics of the fractional-order switching converter with the equivalent small parameter method, but did not analyze the transient process of the fractional-order switching converter

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  • Method for calculating transient solution of fractional-order CCM switching converter
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  • Method for calculating transient solution of fractional-order CCM switching converter

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Embodiment Construction

[0060] The present invention will be further described below in conjunction with specific examples.

[0061] The method for obtaining the transient solution of the fractional-order CCM switching converter provided in this embodiment specifically includes the following steps:

[0062] S1. Establish the nonlinear mathematical model of the fractional-order switching converter described by the fractional-order differential equation:

[0063] G 0 (p α ,p β )x+G 1 f(x)=U(1)

[0064] In the above formula, x=[i L v C ] T Represents the state variables of the switching converter system, where i L is the instantaneous value of the inductor current, v C is the instantaneous value of the capacitor voltage, the superscript "T" indicates the transposition of the matrix; p represents the differential operator, which is defined as p=d / dt, and the corresponding fractional differential operation d α / dt α and d β / dt β can be denoted as p α and p β , where α and β represent the ...

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Abstract

The invention discloses a method for calculating a transient solution of a fractional-order CCM switching converter. An equivalent small-parameter method is utilized to convert complicated fractional-order differential operation into exponential operation of a differential operator, accordingly calculation of a complicated fractional-order converter state variable steady-state period solution is converted into calculation of the amplitudes of a direct component and harmonic components, and a harmonic balance method can be utilized for the calculation of the amplitudes of the direct component and the harmonic components; the transient solution of a fractional-order switching converter state variable can be obtained only by analyzing the transient solution of a main vibration equation of a fractional-order switching converter state variable and then combining with the steady-state solution of the equation. The transient process of the fractional-order CCM switching converter can be well analyzed by adopting the method.

Description

technical field [0001] The invention relates to the field of modeling and analysis of fractional-order switching converters, in particular to a method for calculating the transient solution of fractional-order CCM switching converters. Background technique [0002] In the past, the commonly used modeling and analysis methods for switching converters are: discrete iterative mapping model, model based on state space averaging method, piecewise linear model based on circuit theory (KCL, KVL) [1] and combining harmonic balance and disturbance The equivalent small parameter method [2] of the method, the analysis objects of these methods are integer-order switching converters, that is, the capacitors and inductors in the converter are all integer-order components, but the literature [3][4] pointed out that the actual Both capacitance and inductance are fractional order in nature, which requires a corresponding fractional order model for the converter. [0003] Harmonic balance me...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/367
Inventor 陈艳峰李肖肖张波丘东元
Owner SOUTH CHINA UNIV OF TECH
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