Intermittence　and　low　grade　are　significant　barriers　for　the　widespread　application　of　renewable/waste　energy.　An　absorption　energy　storage　heat　transformer　with　adequate　energy　storage　and　temperature　lift　characteristics　effectively　addresses　this　challenge.　An　advancement　in　this　technology　is　the　double-stage　energy　storage　heat　transformer　(DESHT),　which　further　enhances　the　range　of　temperature　upgrade　through　twice　temperature　lifts.　This　paper　proposes　a　time-dependent　approach　for　a　comprehensive　study　of　the　DESHT　cycle　with　a　working　pair　of　LiBr/H2O.　Firstly,　the　dynamic　characteristics　of　the　DESHT　cycle　are　shown.　Subsequently,　the　effects　of　discharging　temperatures,　charging　temperatures,　and　solution　mass　ratio　on　cycle　performance　are　analyzed.　Results　show　that　the　DESHT　cycle　can　achieve　a　temperature　lift　from　35　degrees　C　to　55　degrees　C.　90　%　of　the　total　storage　capacity　can　be　reached　in　60-70　%　of　the　total　charging　time.　The　maximum　discharging　time　per　unit　of　charging　time　is　achieved　at　a　temperature　lift　of　45　degrees　C.　Besides,　compared　to　the　conventional　double-stage　absorption　energy　storage　cycle,　the　DESHT　cycle　shows　a　higher　exergy　efficiency.　Optimizing　the　solution　mass　ratio　can　enhance　the　cycle　performance.　These　findings　can　serve　as　a　valuable　reference　in　exploring　the　DESHT　cycle.