Abstract
We establish a novel hybrid model of a continuous conduction mode buck converter with a constant power load based on the mixed logical dynamical modeling method. Based on the proposed model, the influence of the constant power load’s negative impedance (RCPL) on the dynamics of the buck converter with a constant power load is studied by computing bifurcation diagrams and the spectrum of the largest Lyapunov exponents with the variation of the absolute value of RCPL. Numerical results show that the system’s bifurcations exhibit two different types of behavior, namely, Hopf bifurcations and state jumping. Moreover, the accuracy and effectiveness of the established mathematical model are verified via simulation and experimental results. Because of including different discrete mappings of the system exhibited in different working modes in a unified model, the proposed hybrid model solves the problem of choosing different discrete mappings according to different working models. That is, the hybrid model in this paper provides a new unified model for future research on the dynamic properties and design of controllers for such systems.
Highlights
DC-DC converters with constant power loads are widely present in distributed power systems [1, 2]
There are two different bifurcations in systems featuring DC-DC converters with CPLs: bifurcations of smooth dynamical systems, such as period doubling bifurcation, Hopf bifurcation and saddle node bifurcation [6], and state jumping, which is the typical phenomenon in piecewise smooth dynamical systems [7]
The hybrid model provides a unified model for describing a DC-DC converter with a CPL in different working modes
Summary
DC-DC converters with constant power loads (hereafter called CPLs) are widely present in distributed power systems [1, 2]. The most appropriate model must be chosen based on the switching mode to study the nonlinear characteristics and controller design of a system. To provide a unified and reliable model for studying dynamics and designing controllers for DC-DC converters with CPLs, it is necessary to establish a discrete model that can reflect the overall characteristics of the system. Because of their powerful abilities, hybrid modeling methods have been used to build accurate models of DC-DC converters [13].
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