Feeding biomass-fueled gas engines (BFGEs) with olive tree pruning residues offers
new opportunities to decrease fossil fuel use in road vehicles and electricity generation. BFGEs,
coupled to radial distribution systems (RDSs), provide renewable energy and power that can feed
electric vehicle (EV) charging stations. However, the combined impact of BFGEs and EVs on RDSs
must be assessed to assure the technical constraint fulfilment. Because of the stochastic nature
of source/load, it was decided that a probabilistic approach was the most viable option for this
assessment. Consequently, this research developed an analytical technique to evaluate the technical
constraint fulfilment in RDSs with this combined interaction. The proposed analytical technique
(PAT) involved the calculation of cumulants and the linearization of load-flow equations, along with
the application of the cumulant method, and Cornish-Fisher expansion. The uncertainties related
to biomass stock and its heating value (HV) were important factors that were assessed for the first
time. Application of the PAT in a Spanish RDS with BFGEs and EVs confirmed the feasibility of
the proposal and its additional benefits. Specifically, BFGEs were found to clearly contribute to the
voltage constraint fulfilment. The computational cost of the PAT was lower than that associated with
Monte-Carlo simulations (MCSs).