Techno-economic energy management of micro-grid in the presence of distributed generation sources based on demand response programs

•Improve the performance of micro-grid based on demand response programs.•Reduce operating costs of micro-grid based on probability distribution function models.•Improving the speed and accuracy of dynamic response system based on the Modified Shuffled Frog Leaping Algorithm.•Improving micro-grid performance in the presence of stochastic and non-stochastic power generation sources based on probability models. In this paper, an energy consumption optimization problem is investigated for a representative Micro-Grid (MG) system including Distributed Energy Resources (DERs) such as Wind Turbines (WTs), Photo-Voltaic (PV) arrays, Combined Heat and Power (CHP), Fuel Cell (FC), and boiler to supply the electricity and thermal load demand instantaneously. This problem is mathematically formulated considering resources and load uncertainties using Beta, Normal, and Weibull distribution function with suitable coefficients. In this regard, a model based on the minimization of objective function consisting of operating costs, pollution, and distribution lines electrical losses is presented and solved using the Modified Shuffled Frog Leaping Algorithm (MSFLA). The main objective of this paper is to choose the best collection of DERs and other resources in MG to study which of them is optimum to achieve the objective function. Demand response program (DR) based on the electricity price is considered as a Time of Use (TOU) tariff in which the simultaneous simulations will be figured out. The comparison of the proposed method with the existing method has verified the superiority of MSFLA approach to solve this optimization problem.