Stability and Evolutionary Trend of Hopf Bifurcations in Double-Input SEPIC DC–DC Converters

Abstract

In this paper, the stability and evolutionary trend of Hopf bifurcations are investigated thoroughly for the double-input SEPIC DC–DC converter with one-cycle control (OCC), which is widely used in hybrid power systems. By means of cycle-by-cycle simulations, the evolutionary trend of bifurcation behaviors is identified. The inherent mechanisms of two types of bidirectional Hopf bifurcations are uncovered based on the proposed averaged model. Moreover, stability boundaries in the parameter space are derived with the help of eigenvalue analysis to optimize the circuit design. Furthermore, some important indices with respect to coupling effects are evaluated to assess the coupling effects in the system. Finally, PSpice circuit experiments are performed to verify the bifurcation analysis.

Unstable behavior analysis and stabilization of double‐loop proportional‐integral control H‐bridge inverter with inductive impedance load

“…Throughout the process, the stability of the system is stable‐hopf bifurcation‐stable when K p 2 changing from 0.7 to 1.8. Some scholars named the phenomenon as bidirectional hopf bifurcation 33 . This phenomenon was reported in DC‐DC power conversion systems 33,34 .…”

“…Some scholars named the phenomenon as bidirectional hopf bifurcation 33 . This phenomenon was reported in DC‐DC power conversion systems 33,34 . Nevertheless, to our knowledge, this type of phenomenon—bidirectional hopf bifurcation—has not previously been investigated in inverters.…”

Multi‐harmonic oscillation and stability analysis of double‐input buck/buck‐boost inverter

“…Since the multi-input inverters can enhance the system reliability and reduce the cost, they have attracted more and more attention recently [9][10][11][12]. Different from single-input single-output (SISO) inverters, multi-input inverters need the appropriate power management strategy to balance the power from different sources and regulate the output voltage, and significantly, they are often designed to operate under multiple topology structures and multiple operating modes [4][5][6][7][8][9][10][11][12][13]. As a consequence, stronger nonlinearity and more significant coupling effect become the salient characteristics of multi-input inverters, and they may exhibit complex oscillation in the form of multiple harmonics.…”

“…For some remote communities and isolated residences far away from grid distribution lines, the standalone hybrid energy system with multiple energy sources is a more environmentfriendly and economical candidate than the grid-connected power system [1][2][3]. In this hybrid energy systems, multiple energy sources including solar energy, wind energy and even storage energy are connected to a common AC load or the grid via a number of inverters [4,5]. Due to some considerable advantages such as the integrated topology, centralised control and low-manufacturing size, multi-input inverters are capable of replacing several single-input inverters by combining different energy sources in the DC end instead of the AC end [6][7][8].…”