  In this paper, we address the problem of stability and frequency regulation
of a recently proposed inverter. In this type of inverter, the DC-side
capacitor emulates the inertia of a synchronous generator. First, we remodel
the dynamics from the electrical power perspective. Second, using this model,
we show that the system is stable if connected to a constant power load, and
the frequency can be regulated by a suitable choice of the controller. Next,
and as the main focus of this paper, we analyze the stability of a network of
these inverters, and show that frequency regulation can be achieved by using an
appropriate controller design. Finally, a numerical example is provided which
illustrates the effectiveness of the method.
