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Linear Time Periodic (LTP) framework-based analysis of Voltage SourceConverters (VSCs) is becoming popular, a driven factor is that many of theexisting VSC applications inevitably exhibit the periodic steady-state (PSS),e.g., VSCs with unbalanced grid connections and the operation of a modularmultilevel converter (MMC). In these studies, acquisition of the VSC's PSSconditions is a necessary precondition for proper linearization and stabilityanalysis, and the efficiency of this process is particularly important forparametric studies. To this end, this work develops a computational method forautomating the LTP analyses of VSCs with an integrated PSS solver. The core ofthe method lies in a unified frequency-domain iteration process that isdeveloped by applying the generalized averaging principle. Given this,modeling, stability analysis, as well as the solution of PSS conditions can beunified in one process. The algorithmic implementation of the method in MATLABis elaborated. Application of the obtained tool in impedance generation andparametric stability test is presented with an unbalanced grid-tied VSC as theexemplification. Finally, PSCAD/EMTDC simulations further consolidate thevalidity of the results.

A Practical Method for Automated Modeling and Parametric Stability Analysis of VSC with Periodical Steady State