Abstract
This paper studies the complex bifurcation phenomena of a voltage-controlled Buck-inverter cascade system. A state-flow chart is drawn to illustrate the complex relations among the linear operating modes. Combined with the state transition function of each mode, the time response of the system can be obtained. For period-one steady state, the periodic mapping function and its fixed point are further derived, on the basis of which the Jacobi matrix is developed and its maximum eigenvalue is analyzed to understand the bifurcation diagram. By globally analyzing the state space using this cell mapping method, the coexistence of attractors is revealed in the Buck-inverter system. All theoretical results have been verified experimentally on a prototype system. The results obtained can be used for guiding the design and analysis of the Buck-inverter system. The analyzing method can be helpful for studying other power electronics systems with compound topologies.
Highlights
Buck-inverter cascade configuration is widely used in wireless power transfer (WPT) and inductive heating applications for high frequency magnetic field generation [1,2,3]
The Buck-inverter system shown in Figure 1 can be into six possible working modes because the Buck converter works in continuous current mode (CCM)
The maximum Jacobi matrix eigenvalue is an effective way to verify the stability of the system at period-one steady state [33,34]
Summary
Buck-inverter cascade configuration is widely used in wireless power transfer (WPT) and inductive heating applications for high frequency magnetic field generation [1,2,3]. In order to globally analyze the coexistence of attractors, the cell mapping method is introduced Utilizing these methods, bifurcation diagrams with the reference voltage and the input voltage as bifurcation parameters are studied and verified by the maximum.
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