  Coordination of distributed energy resources is critical for electricity grid
management. Although nodal pricing schemes can mitigate congestion and voltage
deviations, the resulting prices are not necessarily equitable. In this work,
we leverage market mechanisms for DER coordination and propose a daily dynamic
nodal pricing scheme that incorporates equity. We introduce a pricing "oracle,"
which we call the Power Distribution Authority, that sets equitable prices to
manage the grid. We present two algorithms for executing this scheme and show
that both methods are able to set prices that satisfy both voltage and equity
constraints. Both proposed algorithms also outperform the common utility
time-of-use pricing schemes by at least 45%. New market mechanisms are needed
as the grid is transforming, and power system operators may leverage these
methods for pricing electricity in a grid-aware, equitable fashion.
