Optimization of these systems involves solving an NP-hard, nonlinear mixed-integer problem with intertemporal constraints called the unit commitment problem. The equal area criterion and sets of coupled swing equations are used to analyze the transient stability of these systems. The robustness of components of these systems to contingencies is related to an inertia constant typically ranging from 2 to 7 seconds. The nodal admittance matrix is used to formulate an optimal (*) flow problem for these systems that solves balance equations for real and reactive components. In the US, droop speed control is used to ensure that these systems maintain a standard output frequency of 60 Hertz. For 10 points, a three-phase AC output is produced by what systems responsible for the generation, transmission, and distribution of electricity? ■END■
ANSWER: electric power systems [or power grids; or electrical grids; or energy grids; prompt on electrical systems or energy systems; prompt on AC circuits; prompt on generators or power plants or power stations by asking "those are components of what systems?"; prompt on transmission system or distribution system]
<VD, Other Science>
= Average correct buzz position