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

Xiaofei Li, Chunsen Tang, Xin Dai, Aiguo Patrick Hu and Sing Kiong Nguang
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Xiaofei Li: School of Automation, Chongqing University, Chongqing 400044, China
Chunsen Tang: School of Automation, Chongqing University, Chongqing 400044, China
Xin Dai: School of Automation, Chongqing University, Chongqing 400044, China
Aiguo Patrick Hu: Department of Electrical and Computer Engineering, The University of Auckland, 1142 Auckland, New Zealand
Sing Kiong Nguang: Department of Electrical and Computer Engineering, The University of Auckland, 1142 Auckland, New Zealand

Energies, 2017, vol. 10, issue 5, 1-13

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.

Keywords: Buck-inverter; bifurcation; Jacobi matrix; coexistence of attractors; cell mapping (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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