A Discrete Modeling, Stability Analysis and Parameter Design Method for Switching Converter

Abstract

The invention provides a method for discrete modeling, stability analysis and parameter design of a switching converter, and is illustrated by taking a single-phase full-bridge inverter and a BOOST converter as examples. This method uses Matlab to solve the state equation in the switching cycle of the converter, and obtains the analytical form of the stroboscopic mapping expression and numerical solution, and then draws the bifurcation diagram, folding diagram, phase diagram, Lyapunov index spectrum, and Poincaré cross-section pair Converter for stability analysis and parameter design. Compared with the method based on classical control theory, the method provided by the invention directly completes the process of modeling, analysis and design in the time domain. The modeling process preserves the nonlinear characteristics of the switching converter, and the obtained model is closer to the real circuit with higher accuracy. The analysis process is mainly completed in Matlab using the algorithm that comes with the software, which is simple and convenient with less manual calculation. The analysis results can be presented and verified in various forms such as bifurcation diagrams, folding diagrams, phase diagrams, Lyapunov exponent spectra, and Poincaré sections. In particular, the bifurcation diagram can visually show the changing trend and changing range of the system state variables when the converter parameters change. The results of the analytical method can be verified by the results of the numerical method, which ensures the credibility of the results. In addition, it is not difficult to see from the examples given that the applicable objects of this method are not limited to single-phase full-bridge inverters and BOOST converters, but can be extended to the modeling, analysis and design of other switching converters. Especially for some lower order switching converters.

Description

technical field [0001] The invention provides a method for time-domain discrete modeling, stability analysis and parameter design of a switching converter. Background technique [0002] Switching converters in power electronics technology, including AC-DC converters, DC-AC converters, DC-DC converters and AC-AC converters, have long been widely used in various industries and play an important role. [0003] The first and crucial step in the research and design of switching converters is modeling and stability analysis of switching converters. Since the switching converter is a strongly nonlinear time-varying system, its modeling and analytical solution have always been a difficult problem. [0004] The existing modeling and analysis methods of switching converters are usually divided into two categories: digital simulation method and analytical modeling method. Digital simulation method is divided into direct digital simulation method and indirect digital simulation method...

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Problems solved by technology

[0010] Aiming at the shortcomings of the existing switching converter modeling and analysis methods, such as narrow application range, low model precision, complex calculation, and insufficient description of the nonlinear characteristics of the circuit, the present invention provides a discrete modeling and analysis method for switching converters. A New Method of Stability Analysis and Parameter Design

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