Adaptive multi-objective energy management and coordination of EV and FECV stations with power-to-hydrogen/hydrogen-to-power integration using a UT-ARO framework

High penetrations of renewable energy sources (RES) and the growth of electric/fuel-cell vehicles (EV/FCEV) are compelling distribution system operators (DSOs) to co-manage electricity and hydrogen while preserving feeder security. In this article, a security-oriented, multi-objective framework is presented for a radial feeder, jointly minimizing operating cost, losses, and emissions while maximizing voltage security via a voltage-stability index (WSI). An integrated station model is developed that aggregates EV charging with a hydrogen subsystem (electrolyzer-tank-fuel cell), enabling power-to-hydrogen/hydrogen-to-power (P2H/H2P) arbitrage subject to AC network constraints. Uncertainty is captured through an unscented-transformation (UT) construction that reproduces first-two moments with a compact set of sigma points, reducing scenario burden in day-ahead (DA) evaluation. Real-time (RT) recourse is provided by an adaptive robust optimization (ARO) layer with a cardinality budget Γ, yielding transparent efficiency-conservatism trade-offs. A policy-centric search over control multipliers generates Pareto fronts (weighted-sum and ε-constraint), and a fuzzy membership rule selects a unique deployable compromise. On the IEEE 33-bus feeder, the DA UT frontier remains close to its deterministic envelope; hydrogen conversion operates as a temporal buffer that shifts imports from high-price periods; and the RT ARO layer stabilizes voltage/WSI trajectories under stress at modest cost. Sensitivity analyses show that increasing hydrogen storage capacity beyond its nominal value provides limited additional benefits, that voltage security is only weakly affected by higher EV penetration, and that carbon pricing increases operating costs approximately linearly.