The　proliferation　of　smart　devices　that　complement　the　energy　system　in　order　to　make　it　easier　to　change　the　appearance　of　unique　and　autonomous　energy　systems　and　make　them　more　manageable,　causes　the　biggest　problems　in　energy　management　in　smart　cities.　With　these　promising　results,　storing　data　exchange　between　the　smart　city　and　its　components　of　renewable　sources　and　storage　will　reduce　the　risk　of　cyber-attacks　in　the　energy　system.　To　solve　these　problems,　this　paper　proposes　a　reliable　and　privacy-preserving　distributed　model　for　the　transition　to　smart　cities,　emphasizing　the　integration　of　renewable　energy　sources　such　as　wind,　solar,　and　tidal　power　into　the　urban　energy　ecosystem.　For　this　purpose,　a　distributed　model-based　two-dimensional　multiplicative　method　(PDMM)　and　a　design-based　model　have　been　developed　as　a　fast　method　to　solve　energy　problems　in　smart　cities.　The　results　will　show　that　PDMM　performs　well　in　large-scale　optimization　problems.　To　protect　data　privacy,　the　method　of　secure　data　exchange　is　based　on　a　modified　acyclic　graph　based　on　blockchain.　Detailed　numerical　results　demonstrate　the　performance　of　the　proposed　method　based　on　the　dynamic　force　curve.　The　results　prove　that　the　proposed　model　was　able　to　get　to　an　optimal　and　true　consensus　among　agents　with　very　low　error　values.　©　2024　Elsevier　Ltd