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Many researchers have been considered biomass utilization due to reduction of greenhouse gas effects and environmental impact recently. Achieving a system with the best performance for the application of this type of fuel with low calorific value is to be one of the topics of interest to researchers. This study focus on precise modeling of biomass gasification and design a trigeneration system to produce cooling, heating and electricity using this clean source of energy. In the process modeling of biomass gasification a realistic model includes tar content in syngas is developed. A parametric study of trigeneration system to find the objective functions trend and to achieve the best performance parameter is carried out. Results show that two objective functions in the reasonable range have conflict which emphasis to the multi-objective optimization. Also, with draw Pareto front curve, a suitable relation to estimate the trend of objective functions is derived.