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[en] Highlights: • A novel AAHP-based CCHP system is proposed. • The energy and exergy based analysis is presented. • The solar and air are used as renewable energy sources to drive the prime mover and the AAHP, respectively. • The proposed refrigeration cycle does not produce any potentially dangerous gas. • An energy procurement cost function in the presence of DRPs and BSS is proposed. - Abstract: This paper proposes a novel energy and exergy based methodology for designing and optimal short-term planning of an air to air heat pump-based combined cool, heat and power (CCHP) system driven by a solar dish Stirling heat engine (SDSHE). An absorber and thermal storage tank are employed to absorb and store collected thermal energy for continuous energy supplying when sunlight is insufficient and nighttime. In this paper, an air to air heat pump (AAHP) is proposed to cool and heat a benchmark residential building under hot and cold weather conditions, respectively. Using of solar energy and AAHPs in the proposed CCHP system which does not use any fossil fuel, not only gives more chances for significant reduction of CO_2 and NO_X, but also increases the economic saving in fuel consumption. The mathematical model and the thermodynamic analysis of the proposed tri-generation microgrid have been provided as a mixed-integer nonlinear program and solved using SBB solver under GAMS optimization software to minimize the energy procurement cost considering SDSHE and AAHP’s constraints. Furthermore, four cases are studied to confirm the influence of battery storage system (BSS) and demand response programs (DRPs) on energy scheduling problem. The results demonstrate that the energy procurement cost is low where the effects of DRPs and BSS are considered, simultaneously.