Control Theory and Electrical Networks; Towards an Understanding of Energy-Efficient Power-Conversion Networks. Final Report

摘要

This is the final report of a broadly based research effort on problems in modeling, control and stabilization for switched mode power conversion networks. The principal topics covered are: (1) inherent efficiency limitations in switched mode power conversion circuits, (2) network synthesis and control, (3) bilateral converters, and (4) modern control techniques applied to energy converters. It is shown that pulse modulated control systems, which are central to switched mode energy conversion circuitry, are essentially nonlinear. Techniques of control design and synthesis based on linear control theory are in general found to be inadequate, and a new nonlinear theory of pulse-modulated control systems is developed. A major new result is that the feedback systems which are central to this theory exhibit chaotic instabilities. This points to heretofore unexpected connections with the theory of chaotic dynamics, strange attractors, etc. On the other hand, the systems under study are fairly general, and the results show that some important ideas in the theory of dynamical systems may be understood in the context of the control theory of nonlinear feedback systems. The report concludes with recommendations for further research. (ERA citation 07:051142)