This paper proposes a multi-source multi-product framework for coupled multi-carrier energy supplies with a biogas-solar-wind hybrid renewable system. In this framework, the biogas-solar-wind complementarities are fully exploited based on digesting thermodynamic effects for the synergetic interactions of electricity, gas and heating energy flows, and a coupling matrix is formulated for the modeling of production, conversion, storage, and consumption of different energy carriers. The multi-energy complementarity of biogas-solar-wind renewable portfolio can be utilized to facilitate the mitigation of renewable intermittency and the efficient utilization of batteries, and a multi-carrier generation scheduling scheme is further presented to dynamically optimize dispatch factors in the coupling matrix for energy-efficient conversion and storage, while different energy demands of end-users are satisfied. The proposed methodology has been fully tested and benchmarked on a stand-alone Microgrid over a 24-hour scheduling horizon. Comparative results demonstrate that the proposed scheme can lower the battery charging/discharging actions as well as the degradation cost, and also confirm its capability to accommodate high penetration of variable renewables. Index Terms-Energy hub, energy storage, renewable energy, Microgrid, multi-energy systems. . His main fields of research include smart grid operation and planning, renewable energy generation, and energy efficiency. Da Xu received the B.Sc. degree in automation . His research interests include power system stability, control, planning and operation, computational intelligence applications, and electric vehicle charging. Yijia Cao (M'98-SM'13) received the B.Sc. degree in electrical engineering from Xi'an Jiaotong University, Xi'an, China, in 1988, and the Ph.D. degree His research interests include power system cascading failure, smart grid information technology, smart grid operation and optimization. Ka Wing Chan (M'98) received the B.Sc. (with First Class Honors) and Ph.D. degrees in electronic and electrical engineering from the University of Bath, Bath, U.K., in 1988 and 1992, respectively. He currently is an Associate Head and Associate Professor in the Department of Electrical Engineering of The Hong Kong Polytechnic University. His general research interests include smart grid and renewable energy, power system stability analysis and control, power system planning and optimization, real-time power system simulation. Qiuwei Wu (M'08-SM'15) received the B.Eng. and M.Eng. degrees from