Time reconciliation and space agregation to shed light on the plausibility of longterm low carbon pathways for power system

Abstract : To address the abysmal lack of efficiency of the electrical system (73% of losses, 45% of worldwide CO2 emissions), an energy efficient description of electromagnetism lying on a reversible interpretation of the Faraday's law is described. This framework appears suitable for the space consolidation and time reconciliation of all the scales involved in the power management of the electromagnetic energy. A simplified description of the grid based on the Kuramoto model also recently proved to be suitable for assessing the stability of the synchronous state of a power system. Combining both frameworks, a coherent approach for long term power systems analysis is proposed here and demonstrated in the case of the French Reunion island.