The objectives of the proposed project are to study and improve analytical methods currently used in the design and modelling of switching power converters. In particular, exact solutions for the behavior of simple converters will be compared with approximate solutions obtained with the widely used "state space average" method ?1!, and to solutions obtained by extension of discrete methods ?2!. A number of theorems apply to certain approximate solutions of nonlinear systems ?3,4!. These will be used to determine the conditions under which the state-space average methods are predictive. At present, the properties of state-space average solutions with respect to the stability and the transient response of the actual converter are not well understood. The relationship between converter operating frequency and system response time is also not well understood ?5!. It is expected that existing knowledge of approximate solution methods will provide a basis for expanding state-space averaging so that it can apply to large-signal behavior. Analytical results will be verified experimentally for simple dc-dc power converters.
