A model for synchronization of globally coupled phase oscillators including "inertial" effects is analyzed. In such a model, both oscillator frequencies and phases evolve in time. Stationary solutions include incoherent (unsynchronized) and synchronized states of the oscillator population. Assuming a Lorentzian distribution of oscillator natural frequencies, g(Omega), both larger inertia or lar...

Recent years have seen a surge in interest DC microgrids as loads and sources like solar photovoltaic systems, fuel cells, batteries, other options become more mainstream. As distributed energy resources (DERs) are integrated into an existing smart grid, networks come to the forefront of industry. systems completely sidestep need for synchronization, reactive power control, frequency control. d...

the optimum shape of balance weights is determined, using two different criteria. according to one, one of the balance weights should have minimum size. while the other requires that the mass moment of inertia about the axis of rotation should be minimum. in the second case, the calculus of variation is used to determine the optimum shape. graphs are presented to enable designers to find the di...

By making use of the notions and the notations from [12], we present the bounded delays, the absolute inertia and the relative inertia.