Abstract
The harmonic state-space (HSS), the dynamic phasor (DP), and the generalized dq (GDQ) modeling are three widely used methods for small-signal analysis of ac power electronic systems. By reviewing
their principles and deriving their mathematical relationships, this paper proposes a unified framework for all
the three approaches. The unified modeling reveals that the linearization and transformation can be exchanged
flexibly in the modeling process, and the initial phase takes a role in transforming the GDQ model into the
HSS or DP model. Case studies on a three-phase voltage-source converter in unbalanced power grids are
provided for validation. The relationships of three modeling methods are verified by mathematical proofs and
time-domain simulations. The unified frequency-domain model is further validated through the frequency
scan in experiments. Insights of the unified modeling framework and recommendations from engineering
perspectives are finally discussed.
their principles and deriving their mathematical relationships, this paper proposes a unified framework for all
the three approaches. The unified modeling reveals that the linearization and transformation can be exchanged
flexibly in the modeling process, and the initial phase takes a role in transforming the GDQ model into the
HSS or DP model. Case studies on a three-phase voltage-source converter in unbalanced power grids are
provided for validation. The relationships of three modeling methods are verified by mathematical proofs and
time-domain simulations. The unified frequency-domain model is further validated through the frequency
scan in experiments. Insights of the unified modeling framework and recommendations from engineering
perspectives are finally discussed.
| Original language | Undefined/Unknown |
|---|---|
| Journal | IEEE Open Journal of Power Electronics |
| Volume | 2 |
| Pages (from-to) | 424-439 |
| ISSN | 2644-1314 |
| DOIs | |
| Publication status | Published - 2021 |