  Increasing penetration of distribution generation (DG) and electric vehicles
(EVs) calls for an effective way to estimate the achievable capacity connected
to the distribution systems, but the exogenous uncertainties of DG outputs and
EV charging loads make it challengeable. This study provides a joint capacity
evaluation method with a risk threshold setting function for photovoltaic (PV)
generation and EV charging stations (EVCSs). The method is mathematically
formulated as a distributionally robust joint chance constrained programming
model. And the worst-case conditional value at risk (WC-CVaR) approximation and
an iterative algorithm based on semidefinite program (SDP) are used to solve
the model. Finally, the method test is carried out numerically on IEEE 33-bus
radial distribution system.
