The　investigation　of　advanced　large-scale　energy　storage　systems　is　needed　due　to　the　installation　and　grid-connected　generation　of　instability　renewable　energy.　As　the　compression　heat　tends　to　low　temperature,　in　this　paper,　a　liquid　carbon　dioxide　energy　storage　system　with　heat　source　and　its　modification　are　proposed,　in　which　an　ice　storage　carbon　dioxide　liquefaction　scheme　and　a　modified　recuperator　layout　are　specially　designed.　Firstly,　thermodynamic　and　exergoeconomic　models　are　developed　to　evaluate　the　proposed　systems;　Then,　a　comprehensive　understanding　of　the　proposed　system　is　obtained　by　parametric　analysis　and　multi-objective　optimization;　Finally,　a　comparative　analysis　shows　the　attractiveness　of　the　proposed　system.　The　results　show　that　the　modified　recuperator　configuration　improves　the　system　performance　by　recovering　more　turbine　exhaust　energy,　and　the　relative　cost　difference　is　reduced　by　6.86%.　The　efficiency　and　economy　of　the　system　are　greatly　influenced　by　the　compressor　and　turbine　performance.　Multi-objective　optimization　obtained　compromise　results　of　total　exergy　efficiency　and　unit　output　cost　of　68.79%　and　34.04　$/GJ.　The　comparative　analysis　reflects　that　the　proposed　system　has　certain　superiorities.　©　2022　Elsevier　Ltd