The increasing deployment of multi-energy distribution systems (MDSs) necessitates the coordinated restoration of power and thermal loads under disasters. Nevertheless, existing research often overlooks the inherent uncertainties of disasters and the potential of market mechanisms, resulting in risks of over-investment and inefficient allocation of flexible resources. Thus, this paper presents a distributed market-aided restoration approach for MDS considering the comprehensive uncertainties from typhoon disasters. First, a stress intensity interference theory combined with a structural fragility model is utilized to characterize the uncertainty of distribution line damage caused by typhoons. Second, a tractable operational model for MDS, incorporating numerous auxiliary variables, is introduced to simplify the constraints of power and thermal networks. Then, a risk-averse two-stage restoration framework is developed to manage comprehensive uncertainties from both line damage and renewable generation. Meanwhile, a Cournot Nash-based joint bidding model of multi-energy microgrids is designed as a market-aided strategy to facilitate the restoration of MDS. Further, a distributed algorithm named alternating search procedure is utilized to protect participants privacy and alleviate the computation burdens. Finally, case studies based on real statistics of the 2024 super typhoon “Yagi” in China validate that the proposed method creates a win-win situation for all stakeholders.

A multisource energy storage system (MESS) among electricity, hydrogen and heat networks from the energy storage operator's prospect is proposed in this article. First, the framework and device model of MESS is established. On this basis, a multiobjective optimal dispatch strategy of MESS is proposed. Considering the influence of time-of-use price, our dispatch strategy can achieve the unified effect of economy, efficiency, and stationarity. Ultimately, the proposed dispatch strategy is applied to a MESS to study the characteristic of the economic benefits, the influence of energy loss, and power fluctuation, etc. The results show that the MESS can be profitable through our optimized dispatch strategy. And the sale of hydrogen and heat can become the main income of the MESS. Furthermore, we find energy loss is the main challenge for MESS development and application. Considering the economy and efficiency of the system, the proposed dispatch strategy can achieve the optimal comprehensive benefits from the energy storage operator's prospect and support the sustainable development of the MESS.