Synthesis of Optimum Gain Functions for Static Power Converters

The optimization of transfer characteristics of static power converters has been largely based on converter definition in terms of its circuit configuration. Since converter circuits lack mathematical definition, this approach has failed to produce a comprehensive optimization procedure. Instead, it has led to several unwieldy optimization schemes with limited range of application. A different approach, which employs a more effective converter definition, is discussed. With this, approach, the converter is defined in terms of its ideal gain function, which has an exact mathematical definition. An optimization procedure transforms the ideal gain function into an " optimum" gain function compatible with the switching characteristics of static converters. This procedure is subsequently employed with various classes of static converters to obtain their respective optimum gain functions. A thorough analysis of the resulting converter characteristics demonstrates the effectiveness of the proposed optimization approach. In particular, converters with optimum gain functions are clearly shown to generate the minimum possible (for switching converters) harmonic distortion.