•Using the optimized proposed system leads to a payback period (PBP) of 5.66 years.•The levelized cost of electricity is 0.2568 $.(kWh)-1.•Primary energy consumption and CO2 emission are improved by 30.03 and 17.65%.•Electrical load is the most effective factor on energy and environmental indicators.•Inflation has a stronger impact than discount rate on the optimal results. A hybrid photovoltaic-wind turbine driven system with H2 storage unit is proposed for a residential building complex in which an emerging technology, called desiccant enhanced evaporative (DEVAP) cooling system, is utilized to enhance the performance by heat recovery during the cooling season. The best design is found using dynamic multi-objective optimization (MUOBOP), as an advanced method, while the results are compared with the conventional optimization approach without heat recovery in the cooling season as the base case. Energy, environmental, and economic aspects are considered as the objective functions. Impact of changing electrical load, as well as discount and inflation rates on the optimization results is also determined through a detailed sensitivity analysis. According to the results, primary energy reduction percent (PERP) is improved by 30.03%, while it has the most sensitivity to the electrical load variation. Payback period (PBP) and levelized cost of electricity (LCOE) have also 21.93 and 32.40% enhancement. In addition, with 20.4 and 17.8% increase, changing the inflation rate from 0.80 to 1.20 of the initial case has the strongest impact on PBP and LCOE, respectively. Moreover, carbon dioxide reduction percent (CDRP) exhibits the highest variation when the electrical load changes from 80.0% to 120.0% of the initial case. Employing dynamic MUOBOP leads to 17.65% improvement for that performance indicator, as well.