A Symbolic Analysis Method for Inductive Current Discontinuous Mode Fractional Order Switching Converter

An inductive current discontinuous, switching converter technology, applied in electrical digital data processing, instruments, special data processing applications, etc., can solve problems such as difficulty in analytically analyzing the peak-to-peak value of the ripple, and inability to obtain an analytical solution for the steady-state period of the state variable.
CN106227925BActive Publication Date: 2019-05-14SOUTH CHINA UNIV OF TECH
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
SOUTH CHINA UNIV OF TECH
Publication Date
2019-05-14

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Abstract

The invention discloses an inductance current interrupted mode fractional order switch converter symbol analysis method combining a harmonic wave balance principle; the method converts differential operation relating to status variable fractional order in a converter into differential operators, and combines all differential operators into an opposite angle symbol matrix, thus converting a non-integer order calculus operation solving process into a matrix operation and linear equation (group) solving process. Compared with a conventional normal analysis method, aiming at the fractional order switch converter, of building an Oustaloup filter approximation model in a Matlab / Simulink, the novel method can parse and analyze converter status variable ripple peak-to-peak value size and influences on converter work status by energy storage element order changes, can fast obtain a status variable stable state periodic analytic solution, and can parse status variable harmonic wave components.
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Description

technical field

[0001] The invention relates to the field of modeling and analysis of fractional-order switching converters, in particular to a symbolic analysis method for fractional-conduction-conduction mode (DCM, Discontinuous-conduction Mode) switching converters. Background technique

[0002] In the past, the commonly used modeling and analysis methods for switching converters include: models based on state space averaging, discrete iterative mapping models, piecewise linear models based on circuit principles (KCL, KVL), and methods that combine harmonic balance and disturbance methods, etc. 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. However, the existing reference 1 "Westerlund S. Dead Matter Has Memory![ M].Kalmar,Sweden:Causal Consulting,2002,Chap.7."And reference 2 "PodlubnyI.Fractional Differential Equations[M].San Diego:Academic Press,1999,C...

Claims

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