A complex network deployment suitable for modern power distribution analysis at the primary control level

摘要

The power grid evolution towards the smart grid integration is certainly expected in the near future. Disciplinary technologies from many fields that are combined for such a large scale venture, have a complicated result. It seems that rather more efficient tools are needed for the analysis and design of the future smart electric grids, especially at the distribution part. A possible solution is the complex network deployment that provides an alternative framework to better understand and analyze smart grid systems that are composed by different interacting parts in a network fashion. The complex network representation can thus be extended to a multi-level formulation where at any level the outputs may be used as command inputs for the lower levels. The method is established on the basis of suitably determined graphs and therefore can be used in a common way, independently from variations on grid topology or the power injected or consumed. This is a very valuable fact due to the intermittent and unpredictable nature of modern distribution systems. However, a basic problem that arise is how under any possible graph representation, one can be sure that the system is undoubtedly stable. Therefore, in this paper, a systematic method, absolutely compatible with the complex network deployment, is established to indicate that, under common conditions, every modern distributed generation system with variable topology and bounded control inputs, can be represented as a special structure passive port-Hamiltonian stable system. Finally, a particular microgrid example with a standard primary control level scheme is examined to evaluate the proposed method.