Faraday's Law is described. Space aggregation and time reconciliation of all scales involved
in power system management are derived from two constants of motion, respectively Gibbs
free energy and kinetic energy embedded in the whole system. At the upper space scale, a
simplified description of the grid based on the Kuramoto model is proved to be suitable for
assessing the stability of the synchronous state of a power system. In addition, the Gibbs free …