In the event of a major power outage

critical park microgrids (PMGs) could be self-sustaining if mobile emergency generators (MEGs) are stationed to share energy. However

the need for privacy protection and the value of flexible power support on minute-time scales have not been given enough attention. To address the problem

this paper proposes a new self-sustaining strategy for critical PMGs integrating MEGs. First

to promote the cooperation between PMG and MEG

a bi-level benefit distribution mechanism is designed

where the participants' multiple roles and contributions are identified

and good behaviors are also awarded. Additionally

to increase the alliance benefits

three loss coordination modes are presented to guide the power exchange at the minute level between the MEG and PMG

considering the volatility of renewable generation and load. On this basis

a multi-time scale power-energy scheduling strategy is formulated via the alternating direction method of multipliers (ADMM) to coordinate the PMG and MEG. Finally

a dimensionality reduction technology is designed to equivalently simplify the optimization problem to facilitate the adaptive-step-based ADMM solution. Simulation studies indicate that the proposed strategy achieves the self-sustaining of PMGs integrating MEGs while increasing the economy by no less than 3.1%.