Half-bridge converter comprising a bootstrap circuit to provide a negative turn-off voltage

A half-bridge converter, comprising:

• a high-side transistor connected to a positive electrode of a direct current (DC) voltage source;
• a low-side transistor connected to a reference ground;
• a gate driver configured to control the high-side and low-side transistors at a duty cycle of a gate driver control signal;
• and
• a bootstrap circuit configured to provide a positive voltage and a negative voltage to the gate driver for the high-side transistor, the bootstrap circuit comprising a first diode, a first capacitor and a Cuk converter, the Cuk converter comprising a first and a second inductor, a switch, a first and a second capacitor and a second diode to output the negative voltage to the high-side transistor gate driver, wherein a value of inductance of the first and second inductors and a value of capacitance of the first capacitor of the Cuk converter are set such that the Cuk converter is configured to output the negative voltage when operating in a Discontinuous Voltage Mode (DVM).