the effects of the model predictive controller compared to the lqr controller on the optimal distribution of the suitable load and the creation of balance in microgrids

Background and objectives: distributed generation (dg) sources are modeled using an ideal dc voltage source connected to the microgrid via voltage source converters (vscs). model predictive control presents a distinct method for energy processing. methods: in this method, the electric power converter is considered a power amplifier with a discrete and nonlinear structure. therefore, unlike linear control methods, the discrete and nonlinear nature of the converter is considered in this method. in this paper, the distributed model predictive controller was selected from among different methods of load allocation among dg sources due to its more advantages compared to the linear quadratic regulator (lqr) controller.results: it has been proposed that we could obtain better results in predictive control, utilizing similarity transform in the state matrix and its modification. in this research, all the simulations have been performed in the matlabsimpower environment of matlab software. conclusion: moreover, to demonstrate the superior performance of the model predictive controller compared to the lqr controller, both performance modes of the microgrid, namely the grid-connected and islanding modes, have been considered.