Allometric Growth Law of Power System Based on Analysis of Source-load Spatial Matching Relationship
To explore the scale growth law of power systems and reveal the essential mechanism of their development and evolution driven by the source-load spatial matching relationship,the allometric growth law of a power system dur-ing its development and evolution is studied in this paper.First,the concept of allometric growth in the biological field is introduced.Based on the model of electric energy transportation network,it is concluded that the scale development of power system theoretically satisfies the allometric growth law,and its scale factor is 3/4,showing a sub-linear growth mode.Second,from the perspective of emergence,a zero-order model of the spatial evolution of power system that meets the basic requirements of full spatial scale power balance is designed based on the local world evolution model,which considers the distance and grid supply margin.Through multi-agent simulations,it is verified that the scale growth of both the single-source power system and multi-source power system satisfy the allometric growth law theoreti-cally.
spatial evolution of power systemallometric growthcomplex networksub-linear growthscale factor