Dynamic Modeling and Control of Self-Oscillating Parallel Resonant Converters Based on a Variable Structure Systems Approach

Delay effects on the limit cycling behavior in resonant inverters with state feedback

“…Then, the canonical form of the system taking into account the time delay in the switching decision can be summarized as follows Proposition 2 System (1)-(2) with a fixed time delay T d in the switching action can be reduced to the piecewise linear field defined in (11), with the switching function h τ as given in (16) and the matrix A and the vector b defined in (13).…”

“…Many approaches used by scientists and engineers to study the dynamics of switched systems such as averaging [10], the time-domain Hamel locus [11] describing function (DF) or First Harmonic Approximation (FHA) method [12][13][14] fail to give accurate results whenever the repulsive sliding dynamics plays a relevant role [15,17]. Mostly, the sliding region, a subset of the switching manifold i.e., the region of the state-space where the field is discontinuous, is attractive and then techniques of sliding control can be applied [18].…”

Suppression of Undesired Attractors in a Self-Oscillating H-Bridge Parallel Resonant Converters Under Zero Current Switching Control

“…Numerical simulations and their experimental validation are given in Sections IV and V. The conclusions are reported in Section VI. Figure 1 shows the equivalent circuit diagram of the system considered in this study, which consists in a PRC under ZCS control [3], [4]. Roughly speaking, the PRC is a switched system that includes a resonant tank circuit and a switching network that actively select the input voltage applied to the tank.…”

Nonlinear Dynamic Modeling and Analysis of Self-Oscillating H-Bridge Parallel Resonant Converter Under Zero Current Switching Control: Unveiling Coexistence of Attractors

“…Indeed, the assumption that the switching frequency is much higher than all the natural frequencies of the system, widely used in classical PWM converters, is no longer valid in resonant converters because their operating switching frequency is close to the natural frequency of the resonant circuit [6]. Consequently more advanced modeling tools such as the frequency-domain-based describing function [7]- [9] or the equivalent time-domain-based Hamel locus [10] are needed to describe the dynamics of the system. Discrete-time modeling is another accurate tool which were used in [3] to determine the possible steady-state operating points of an LCL wireless power transfer resonant converter.…”

“…Sliding bifurcations take place when a crossing limit cycle interact with the sliding-mode region [15]. Such dynamical behavior results in nonsmooth complex behaviors that cannot be described by the approaches detailed in [6], [7], [9]- [11].…”