As the total power consumption of family residences continues to increase, to promote green and low-carbon ideas and to reduce electricity costs, distributed power sources such as rooftop photovoltaic power generation systems and small wind turbines are gradually being introduced into family residences. In view of the low utilization efficiency of current distributed energy sources and the lack of effective energy management devices, a household energy management system based on energy routers is proposed. In this study, we designed a GaN power converter for use as an energy harvester that employs devices based on the third-generation, wide-bandgap semiconductor GaN with high switching frequency, low switching loss, good temperature characteristics, and low energy loss. Through effective energy scheduling strategies, control and adjustment can be made according to the energy output, the electricity costs of energy storage equipment, and the household load.