This　paper　proposes　a　novel　system　integrating　compressed　air　and　thermochemical　energy　storage　with　solid　oxide　fuel　cell-gas　turbine　(SOFC-GT).　During　charging　process,　the　compression　heat　drives　methanol　decomposition　into　syngas　for　converting　its　low-grade　thermal　energy　into　high-grade　chemical　energy　and　achieving　hybrid　storage　of　physical　and　chemical　energies　simultaneously.　During　discharging　process,　the　SOFC-GT　efficiently　converts　the　stored　energy　into　power　based　on　energy　cascade　utilization,　significantly　improving　the　total　exergy　efficiency　of　the　system.　The　effects　of　six　key　parameters　on　the　thermo-economic　performance　of　the　system　are　studied　by　the　sensitivity　analysis,　and　the　results　show　that　the　total　exergy　efficiency　conflicts　with　the　levelized　cost　of　energy　(LCOE).　Therefore,　the　multi-objective　optimization　is　carried　out　for　the　system　from　the　thermodynamic　and　economic　aspects,　and　the　best　trade-off　is　selected　with　the　total　exergy　efficiency　of　65.89%　and　LCOE　of　126.48　$/MWh,　in　which　the　system　can　generate　7.22　MWh　power　and　2.37　MWh　heating　with　the　total　energy　efficiency　of　89.76%.　©　2021　Elsevier　Ltd