In this paper, a basic aeronautical electrical network will be modeled in average sense and equipped with a supervisory control strategy for Intelligent Load Power Management (I-LPM) concept implementation. The average modeling process will be first presented, in order to obtain electrical models more suitable for simulations, with respect to traditional switching models, especially in term of simulation time reduction. Specifically, a new average model for SSPC, key components for I-LPM strategy application, will be presented and discussed, where textbook generator and rectifier models will be shortly recalled. Next, the supervisory control strategy will be introduced and briefly discussed, mainly intended as a partial example of energy management strategy where the usage of average models is mandatory, due to required extensive simulation times. Finally, simulation results will evidence the advantages of the proposed energy management strategy with respect to a normal shedding-based strategy, for the proposed average modeled electrical network.