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Power systems are among the most critical infrastructures providing services highly impacting on everyday life of modern and future society. They rely on a complex internal organisation, where interdependencies among the composing parts increase their vulnerabilities. The authors of this paper have already focused on this problem and have contributed to studies devoted to analyse the impact of interdependencies in power systems, evolving from rather simplistic scenarios to more sophisticated ones, more adherent to real system conditions. Elaborating on previous work, in this paper new investigations are performed to explore aspects of heterogeneity partially or not addressed so far, and related impact on blackouts indicators, to both prove the feasibility of the developed modelling framework and to assess the relevance of accounting for such heterogeneity.