Extending Haar domain analysis to DC/AC converters

This paper deals with the application of the Haar modeling approach to DC/AC converters. In previous papers, the authors introduced a new approach to circuit analysis that works particularly well with switching circuits and is therefore very appropriate for power converters. The converter model obtained using this approach contains the conventional average-model as a particular case. The previous analysis focused on a DC/DC converter, while in this paper a new extension to a three-phase DC/AC converter is proposed. The analysis is performed with the help of the Park transform. The results demonstrate the possibility to quickly obtain information about the steady-state condition of the system: this opens the way to detailed analysis and design optimization of many performance indexes of the system such as current ripple. Furthermore the equations extend the definition of the space vector concept introducing a multidimensional quantity in the Park domain to represent with a very small set of coefficients the whole information describing the system.