To realize the safe

economical

and low-carbon operation of the pelagic island microgrid group

this paper develops a bi-level energy management framework in a joint energy-reserve market where the microgrid group (MG) operator and renewable and storage aggregators (RSA) are independent stakeholders with their interests. At the upper level

the MG operator determines the optimal transaction prices with aggregators to minimize MG operation costs while ensuring all safety constraints are satisfied under uncertainty. In the lower level

aggregators utilize vessels for battery swapping and transmission among islands in addition to energy arbitrage by participating in energy and reserve markets to maximize their revenue. An upper bound tightening iterative algorithm is proposed for the formulated problem with nonlinear terms and integer variables at the lower level to improve efficiency and reduce the gap between the upper bound and lower bound compared with the existing reformulation and decomposition algorithm. Case studies validate the effectiveness of the proposed approach and demonstrate its advantage in terms of optimality and computation efficiency compared with other methods.