Study Of Analysis And Control For Complex Behaviours In Power Electronic Circuits

All system is nonlinear system in nature and linearization is only an approximation in order to facilitate analysis. Nonlinear science is a comprehensive discipline and it can guide the nonlinear research of specific discipline. Meanwhile, the nonlinear research in all fields will enrich the content of nonlinear science theory. In nonlinear systems, chaos is a ubiquitous phenomenon. Chaos theory is the important result in nonlinear science. It has been widely used in various fields of natural sciences and social sciences. Therefore, the study of chaos in nonlinear dynamical system has great theoretical and practical value.Power electronic circuits are strong nonlinear circuit and system. It is a typical research direction of nonlinear science with very complicated dynamical features, which involves very rich nonlinear phenomena such as bifurcation, chaos, intermittent and so on. Therefore, the working stability of power electronic circuits get a great challenge.The research of complex behaviour can reveal the nature and improve the performance of power electronic circuits.It can provide the design guidance of circuit for the manufacturers in power electronic circuits. It can satisfy the demand for power electronic circuits with high stability performance in all areas of national economy. Meanwhile, the research result of complex in power electronic circuits can provide examples and references for others type nonlinear system in the aspect of modeling, analysis, and chaos control and application. The study can improve the theory of power electronics and promote the development of power electronics. In this paper, the analysis and control for complex behaviour in power electronic circuits are studied. The concrete work is as follows:(1) It elaborates the purpose and significance of the study, reviews the result of complex behavior for power electronic circuits in domestic and international and arranges the structure of this paper.(2) It analyzes the general chaotic dynamic system and introduces nonlinear system associated with chaos theory from many aspects such as the history of chaos, chaos characteristics and route to chaos. It also lists the typical continuous dynamics chaotic system and discontinuous dynamics chaotic system and analysis the system specifically in order to provide a theoretical basis for the research of complex behaviours in power electronic circuits. (3) It studies the analysis method of complex beharvious in switching power converters, including numerical simulation method, theoretical analysis method, circuit experimental method. It can prove that three research methods of complex beharvious in switching power converter are feasibility and accuracy when voltage mode controlled Buck converter as an example.(4) It proposes a modeling and analysis method based on logical variable simplification in switching power converters. It can apply the method to build modeling when Boost converter work in CCM and DCM mode. It can find that there exists complex dynamics beharvious after numerical simulation the model.The result of numerical simulation is consistency with theoretical analyzing.(5) The complex behaviors for the topology of H bridge inverter is studied when it works in DC/DC state or DC/AC state. It can find that the inverter has ambulance complex behaviours. It also proposes methods of resonant parametric perturbation and TDFC to control complex behaviours. The study can provide theoretical guidance for the stability design of H bridge inverter.(6) Boost converter controlled by current mode can produce the physical phenomenon of intermittency chaos when the converter works in the period windows of chaos zone and external noise reaches certain intensity in the first time. It can observe the phenomenon of noise-induced intermittent chaos and it also analyzes the relationship between noise intensity and induced intermittent chaos, the relationship between the noise intensity threshold and circuit parameters in resulting intermittent chaos from the perspective of numerical simulation. The operation mechanism of the physical phenomenon has been explained and demonstrated from many aspects in theory. Finally, the consistency of numerical simulation and theoretical analysis shows that the research method is correct.