A circuit for charging a rechargeable battery is described. The circuit includes a first DC voltage source, a bus capacitor Cbus, an H-bridge circuit, a rechargeable battery, a second DC voltage source, an impedance meter and a microcontroller. The impedance meter measures an impedance of the rechargeable battery. The microcontroller is connected to the impedance meter and to each gate contact. The microcontroller generates a set of drive signals that are configured to generate a sinusoidal with ripple current at an output terminal of the H-bridge circuit. The microcontroller adjusts a frequency of the sinusoidal with ripple current based on the impedance of the rechargeable battery and identifies a frequency of the sinusoidal with ripple current at which the rechargeable battery has a minimum internal impedance. The microcontroller adjusts the set of drive signals to generate the sinusoidal with ripple current at the identified frequency and recharge the rechargeable battery.