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In this paper a neural network heuristic dynamic programing (HDP) is used foroptimal control of the virtual inertia based control of grid connected threephase inverters. It is shown that the conventional virtual inertia controllersare not suited for non inductive grids. A neural network based controller isproposed to adapt to any impedance angle. Applying an adaptive dynamicprogramming controller instead of a supervised controlled method enables thesystem to adjust itself to different conditions. The proposed HDP consists oftwo subnetworks, critic network and action network. These networks can betrained during the same training cycle to decrease the training time. Thesimulation results confirm that the proposed neural network HDP controllerperforms better than the traditional direct fed voltage and reactive powercontrollers in virtual inertia control schemes.

Heuristic Dynamic Programming for Adaptive Virtual Synchronous Generators