Note: This content is accessible to all versions of every browser. However, this browser does not seem to support current Web standards, preventing the display of our site's design details.


On Resistive Networks of Constant Power Devices


J.W. Simpson-Porco, F. Dörfler, F. Bullo

Note: Available at

This brief examines the behavior of DC circuits comprised of resistively interconnected constant power devices, as may arise in DC microgrids containing micro-sources and constant power loads. We derive a sufficient condition for all operating points of the circuit to lie in a desirable set, where the average nodal voltage level is high and nodal voltages are tightly clustered near one another. Our condition has the elegant physical interpretation that the ratio of resistive losses to total injected power should be small compared to a measure of network heterogeneity, as quantified by a ratio of conductance matrix eigenvalues. Perhaps surprisingly, the interplay between the circuit topology, branch conductances and the constant power devices implicitly defines a nominal voltage level for the circuit, despite the explicit absence of voltage-regulated nodes.


Type of Publication:


No Files for download available.
% Autogenerated BibTeX entry
@Misc { SimD_r:2015:IFA_5308,
    author={J.W. Simpson-Porco and F. D{\"o}rfler and F. Bullo},
    title={{On Resistive Networks of Constant Power Devices}},
Permanent link