Modelling and assessing the impact of the DSO remuneration strategy on its interaction with electricity users

•A simulation environment to assess several DSO remuneration strategies is proposed.•This methodology accounts for the uncertainties posed by distributed generation.•Distributed generation is modelled through an MILP minimising costs (CAPEX & OPEX).•The prosumer individual investment decision process and its uncertainty is modelled.•Several DSO remuneration strategies are modelled including peak and time-of-use fees.•A sensitivity analysis to several parameters of the proposed approach is presented.•It is key to check by simulation DSO remuneration strategies to avoid death spiral.