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Energies 2017, 10(5), 708; doi:10.3390/en10050708

Bifurcation Phenomena Studies of a Voltage Controlled Buck-Inverter Cascade System

School of Automation, Chongqing University, Chongqing 400044, China
Department of Electrical and Computer Engineering, The University of Auckland, 1142 Auckland, New Zealand
Author to whom correspondence should be addressed.
Academic Editor: Gabriele Grandi
Received: 5 April 2017 / Revised: 9 May 2017 / Accepted: 14 May 2017 / Published: 18 May 2017
(This article belongs to the Section Electrical Power and Energy System)
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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. View Full-Text
Keywords: Buck-inverter; bifurcation; Jacobi matrix; coexistence of attractors; cell mapping Buck-inverter; bifurcation; Jacobi matrix; coexistence of attractors; cell mapping

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Li, X.; Tang, C.; Dai, X.; Hu, A.P.; Nguang, S.K. Bifurcation Phenomena Studies of a Voltage Controlled Buck-Inverter Cascade System. Energies 2017, 10, 708.

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