A device may include a rectifier circuit providing a rectified DC signal, a rechargeable energy-storage element, and a power-management integrated circuit (PMIC). The PMIC may include a charging circuit for the rechargeable energy-storage element; a current-sensing circuit that measures a current provided by the rectified DC signal; a programmable current limit; a voltage-sensing circuit that measures a voltage on the rechargeable energy-storage element; and a controller that regulates the current provided to a DC output of the PMIC. the DC output of the PMIC may be regulated based at least in part on the current provided by the rectified DC signal; the programmable current limit; and the voltage on the rechargeable energy-storage element. The DC output of the PMIC may provide energy to a plurality of other energy-consuming subsystems on the device and to the charging circuit for the rechargeable energy-storage element.