Optimal Structures for Voltage Controllers in Inverters: Preprint

Output voltage regulation is a primary performance objective in power electronics systems which are not supported by a stiff voltage source. In this paper, we pose an optimal voltage control problem for ac inverter systems and study the structure of the resulting feedback laws. Here, it is demonstrated that the solution to the optimal voltage regulation control problem exhibits an inner current-controller structure even though there are no explicit objectives on tracking current which are targeted. Furthermore, the outer-loop voltage control and inner-loop current control structure is insensitive to the weighting transfer functions used in the optimal control problem. Although the inner-outer structure has been used in prior works, the optimal nature of such a structure was not known. In deriving the optimal controller, we also present a systematic design framework which is cognizant of the physical properties of inverters. Case studies are used to study the optimal controller and its performance.