Mathematical Relationships of Linearized Modeling Methods of AC Power
Electronic Systems
Abstract
The harmonic state-space, the dynamic phasor, and the generalized
dq modeling are three methods developed for linearization of ac
power electronic systems. This paper reveals explicitly mathematical
relationships between the three modeling methods in both time and
frequency domain. Representations of linearized models in different
reference frames and from time domain to frequency domain, as well as
their transformations are elaborated step by step. Case studies on a
three-phase voltage-source converter that is connected to an unbalanced
grid verify the theoretical findings.