  Unbalanced power, due to high penetration of single-phase PV rooftops into a
four-wire multi-grounded LV distribution system, can result in significant rise
in the neutral current and neutral voltage. This preprint proposes a
distributed clustering algorithm for dynamic power balancing, using
single-phase battery storage systems distributed in the LV distribution system,
in order to reduce the neutral current and neutral voltage rise. The
distributed clustering algorithm aggregates households connected to the same
phase into clusters. Within each cluster, another distributed clustering
algorithm is applied to calculate the total grid power exchanged but the
corresponding phase. Then, the dynamic power balancing control is applied to
balance the powers at the bus, based on battery storage systems'
charge/discharge constraints, power minimization and willingness of the
households to participate in the power balancing control.
