Abstract
This paper presents the performance of a boost converter controlled with a zero average dynamics technique to regulate direct current signals. The boost converter is modeled in a compact form, and a variable change is performed to depend only on the γ parameter. A new sliding surface is proposed, where it is possible to regulate both the voltage and the current with low relative errors with respect to the reference signals. It is analytically demonstrated that the approximation of the switching surface by a piecewise linear technique is efficient in controlling the system. It is shown numerically that for certain operating conditions, the system is evolved into a chaotic attractor. The zero average dynamics technique implemented in the boost converter has good regulation, due to the presence of zones in the bi-parametric space. Furthermore, the zero average dynamics technique regulates the voltage well and presents a chaotic attractor with low steady-state error.
Highlights
Direct current to direct current (DC–DC) power converters are devices that control the output voltage and act as bridges to transfer energy between sources and loads
This paper presents the performance of a boost converter controlled with a zero average dynamics technique to regulate DC signals
This result shows the presence of 1T periodic orbit in the dynamic system, defined in Equation (9)
Summary
Direct current to direct current (DC–DC) power converters are devices that control the output voltage and act as bridges to transfer energy between sources and loads. These power converters are used in multiple applications [1], such as computer power sources, distributed power systems, electric vehicles, aircraft, etc. The interest in this research is to work with the boost converter, which is a step-up DC–DC power converter, and its implementation is relatively simple. The boost converter applications are oriented to conditioning power sources, such as photovoltaic systems [2]. In the 1980s, sliding mode controllers were designed for this type of system [3]. It is expected theoretically that the switch operates a finite number of times per period for implementing a converter
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