International Journal of Energy Research, Vol.45, No.1, 541-553, 2021
Enhancing stability region oftime-delayedsmart power grids bynon-integercontrollers
In this study, the impacts of non-integer order controller on the stable parameter space of the microgrid (MG) frequency control system with fixed communication time delay are investigated and discussed with the help of the stability boundary locus (SBL) method. This study proposes a non-integer order controller for the load frequency control (LFC) of the MG systems. To that end, the load frequency model of the MG is formulated and then the characteristic equations of this model are obtained. Then, with the help of this characteristic equation, the stable parameter space of the non-integer controller is determined with regard to different time delay (tau) and fractional integral order values (alpha) using the SBL method. In order to show the accuracy of the obtained stable parameter space, time domain and generalized modified Mikhailov (GMM) criterion studies are carried out for different values of (tau) and (alpha). According to the results obtained, the areas of stable parameter space according to different alpha values and tau= 1.6are calculated as444.8860for alpha= 0.4,342.9728for alpha= 0.7,259.3578for alpha= 1,216.2541for alpha= 1.3and159.6826for alpha= 1.6. In addition, the areas of stable parameter space according to different tau values and alpha= 1.4are calculated as784.5222for tau= 1,106.3219for tau= 2,29.6959for tau= 3and11.5946for tau= 4. Despite the extreme variability arising from nature of resources that make up the MG, the designed non integer order controller with the values selected within the stable parameter space stably carries out LFC control of the MG.