  This paper proposes a framework for fairly curtailing photovoltaic (PV)
plants in response to the over-voltage problem in PV-rich distribution
networks. The framework imposes PV generation limits to avoid overvoltages.
These limits are computed a day ahead of real-time operations by solving an
offline stochastic optimization problem using forecasted scenarios for PV
generation and load demand. The framework minimizes the overall curtailment
while considering fairness by reducing disparities in curtailments among
different PV owners. We model the distribution grid constraints using a
conservative linear approximation (CLA) of the AC power flow equations which is
computed using a set of sampled power injections from the day-ahead predicted
scenarios. The proposed framework is numerically validated on a CIGRE benchmark
network interfaced with a large number of PV plants. We compare the performance
of the proposed framework versus an alternative formulation that does not
incorporate fairness considerations. To this end, we assess tradeoffs between
fairness, as quantified with the Jain Fairness Index (JFI), and the total
curtailed energy.
