  In this paper a neural network heuristic dynamic programing (HDP) is used for
optimal control of the virtual inertia based control of grid connected three
phase inverters. It is shown that the conventional virtual inertia controllers
are not suited for non inductive grids. A neural network based controller is
proposed to adapt to any impedance angle. Applying an adaptive dynamic
programming controller instead of a supervised controlled method enables the
system to adjust itself to different conditions. The proposed HDP consists of
two subnetworks, critic network and action network. These networks can be
trained during the same training cycle to decrease the training time. The
simulation results confirm that the proposed neural network HDP controller
performs better than the traditional direct fed voltage and reactive power
controllers in virtual inertia control schemes.
