Output Impedance Diffusion into Lossy Power Lines
For power system engineers, this provides a method to control grid inductivity by adjusting output impedances, though the work is incremental as it extends known concepts of algebraic connectivity to a specific application.
The paper investigates how output impedances of power sources affect the inductivity of power grids, proposing a measure that reveals inductivity depends on algebraic connectivity. Results show that output impedances diffuse more into better-connected networks, enabling tuning of impedances to achieve desired inductivity.
Output impedances are inherent elements of power sources in the electrical grids. In this paper, we give an answer to the following question: What is the effect of output impedances on the inductivity of the power network? To address this question, we propose a measure to evaluate the inductivity of a power grid, and we compute this measure for various types of output impedances. Following this computation, it turns out that network inductivity highly depends on the algebraic connectivity of the network. By exploiting the derived expressions of the proposed measure, one can tune the output impedances in order to enforce a desired level of inductivity on the power system. Furthermore, the results show that the more "connected" the network is, the more the output impedances diffuse into the network. Finally, using Kron reduction, we provide examples that demonstrate the utility and validity of the method.