We consider nonlinear consensus algorithms and their application to proportional power sharing in DC microgrids. We show that a power sharing algorithm is a special case of nonlinear consensus protocol and we establish convergence to state consensus with adaptive gains. The key facts are the presence of an agreement function in the power sharing algorithm and the preservation of a weighted geometric mean over time. These observations allow us to improve the performance of this class of algorithms via the theory of nonlinear consensus.
|Title of host publication||Proceedings of the 24th International Conference on System Theory, Control and Computing, ICSTCC 2020|
|Place of Publication||Piscataway, NJ, USA|
|Publication status||Published - 2020|
|Event||24th International Conference on System Theory, Control and Computing, ICSTCC 2020 - Virtual, Sinaia, Romania|
Duration: 8 Oct 2020 → 10 Oct 2020
|Conference||24th International Conference on System Theory, Control and Computing, ICSTCC 2020|
|Period||8/10/20 → 10/10/20|