Modeling and analysis of several classes of self-oscillating inverters: II-Model extension, classification, and duality relationships

The piecewise-linear modeling techniques and state-plane representations for the Royer inverter presented in [14] have been extended to two well-known families of self-oscillating dc-to-square-wave transistor inverters. One inverter family employs a saturable magnetic core as the frequency determining element, the other employs a seriesLCtuned network as the frequency determining element. Each family is characterized by an equivalent nonlinearRLCnetwork. Studies of these two inverter families have shown certain apparent dual properties, but there are other equally important affinities which are not immediately obvious. A classification scheme is presented which makes evident natural relationship between these two families of inverters, in particular, and four additional less familiar categories. In so doing, a framework is established which not only enables a methodical transfer of knowledge gain about one family of inverters to other families but also leads to invention of a roster of self-oscillating inverters. Some of these have been successfully implemented in the laboratory.