With the increasing attention on island development, the issue of renewable energy consumption and integration in island integrated energy systems has become particularly prominent. To address this challenge, liquid air energy storage technology with combined heat and power characteristics is introduced into the existing island integrated energy system framework to promote the accommodation of renewable energy. A multi-objective mathematical model incorporating hybrid energy storage configuration optimization is established and solved using the normal vector constraint method. The model aims to enhance the renewable energy accommodation capacity of the island integrated energy system while improving its economic and low-carbon operation. Case study simulation results demonstrate that the proposed hybrid energy storage-based island integrated energy system model not only significantly improves economic and environmental benefits but also achieves remarkable progress in promoting renewable energy accommodation, effectively verifying the model's practicality and effectiveness.