Considering natural stochastic power fluctuation as well as existing of fast varying local loads, power quality and stability problems are unavoidable in low-voltage microgrid power systems, especially in isolated operating modes. The main goal of this research is to design a power management system based on a wavelet filter, in which the frequency components of excess power, i.e., the difference between the generated power and the consumed power, are separated from each other and the high-frequency components are assigned to the supercapacitor and the low-frequency components to the battery. ...