Power grids can be represented with a set of nodes and links which illustrate a graph representation of power grids. The graph representation can incorporate different levels of information and bring different points of view for analysis. The power grids graph presentations have the hierarchy structure that each layer covers the granular details of one distributed area. Therefore, analysis can be carried out on one high level stage and subsequently, conveyed to the next granular structure level for more detailed analysis in order to control and maintain the interrelation and connection among the higher level nodes.

Power flow is one of the aspects that can be demonstrated using graph representation. Assimilating renewal energy resources into the power grids and installing electro-voltaic charger in the power grids lead to highly time- variable dynamics. Thus, the entering points of renewable resources and EV charges have to be studied in advance to such that it introduces minuscule deviation in the system and the balance and operational frequency. Consequently, the power grids maintain the balance and stable operational frequency and manage to control the flow of energy and the variation occurs with time.

To achieve this goal, distributed analysis of the power grids graph network is important to recognize the nodes and links which can tolerate more variation and disturbances in the system. Such that these sets of nodes and links represent the candidate areas and regions to accommodate variable loads, EV chargers and renewable resources. Interaction within higher level nodes is important to monitor the power flow and predict contingency in the system.