Modeling of Three-Phase Dynamic Systems Using Complex Transfer Functions and Transfer Matrices

A compilation of methods for modeling and analysis of three-phase dynamic systems-such as AC machines, resistance-inductance-capacitance components, and power electronic converters including their control algorithms-using complex transfer functions and transfer matrices is presented. Restrictions of the two modeling methods and relations between them are given. Various frequency-domain results, including closed-loop stability theory, are presented. The theory is illustrated by several examples showing areas of application.