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Modeling of Power Electronic Systems with Harmonic State Space Modeling with Focus on Pulse Width Modulation

Circuit topology
Fig 1. Two converter system under observation
  With the growing integration of power converters within the modern power grid, there is a recent challenge to observe how these distinct power converters interact among themselves. There have been several recent attempts to fill this research gap but most efforts in this area are either concentrated on the low frequency harmonics arising from Phase Locked Loop or in the high frequency EMI region. Not much has been reported in the domain of switch-ing harmonic interactions. This work aims to bridge that gap.

  This research work aims to model the complex converter interactions using a harmonic domain modeling method: Harmonic State Space (HSS). The HSS simulation environ-ment is further enhanced by development of a fundamentally new pulse width modulator model based on multi-tone Bessel functions. The incorporation of the new modulator model, paves way for HSS to be about four time faster than conventional time domain modeling method and much more accurate than conventional averaging models. To verify the proposed approach, a two-converter model as shown in Fig. 1 is considered. Inverter A regulates the voltage across the AC link whereas inverter B is designed to be regulating the current at the AC link. The performance of proposed modeling methods in comparison to its equivalent time domain counterparts is ana-lysed in MATLAB presented in Fig. 2.
Modeling results
Fig 2. Comparison of converter modeling results


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