Advanced adiabatic compressed air energy storage (AA-CAES)

with its dual capability for electricity-heat cogeneration and energy storage

offers significant potential as an energy hub for integrated electricity and heat systems (IEHS). While synergies in the electricity-heat market are known to enhance economic efficiency

it is hard to achieve cooperative operation due to the inherent differences among participants of IEHS and the absence of an incentive-compatible mechanism. To address this challenge

this paper proposes a Nash bargaining-based cooperative operation strategy for IEHS with AA-CAES. First

a cooperative alliance framework based on the Nash bargaining is proposed to optimize energy trading. Second

to overcome computational complexity

the non-convex

nonlinear Nash bargaining problem is decomposed into a two-stage optimization approach. In the first stage

a joint planning model maximizes the total profit of the alliance

determining the optimal energy interaction for each participant. In the second stage

a subsequent model ensures fair profit distribution by optimizing pricing and benefit-sharing mechanisms. Subsequently

a distributed solution strategy based on the self-adaptive alternating direction method of multipliers is utilized to preserve operator privacy and improve computational efficiency. Finally

case studies demonstrate that within the electricity-heat co-supply mode

the daily profit of AA-CAES can improve by approximately 4137.45 CNY. Meanwhile

through the proposed cooperative strategy

participants in the IEHS can obtain greater profits

which validates the effectiveness of this strategy.