This paper investigates the energy management of the proposed multilateral structure (nanogrid-microgrid-main grid) by considering invelox turbines as a novel option for use at this level. Furthermore, the demand response program (DRP), especially the time of use (TOU), is considered to evaluate such a turbine's operation in the demand management issues. The authors have demonstrated the potential of these turbines in renewable base grids and expressed their influences on the future of renewable energy exploitation. The proposed multi-grid invelox wind turbine (MG-IWT) consists of various renewable and non-renewable resources like CHP, boiler, photovoltaic, etc., and different loads to show the completeness of the system. The triple objective function of the MG-IWT includes total cost, contamination, and the nanogrid's cost. The problem is modeled as mixed integer programming (MIP) and solved in GAMS software by using a cplex solver. The augmented epsilon constraint (AEC) approach and LP metric method simultaneously optimize the problem using GAMS and assess the responses. Results show the invelox's effectiveness in the multilateral structure in which the microgrid and nanogrid's costs are decreased from $ 961.8 and $ 12.2 to $ 789.2 and $ 5.8 by considering the invelox and demand response program, respectively.