A method for operating a wireless power transmitter, the method comprising: - receiving a power control command from a wireless power receiver inductively coupled to the wireless power transmitter ; - computing a target transmitter power for the wireless power transmitter in accordance with the power control command; - computing a potential voltage change for a transmitter voltage of the wireless power transmitter in accordance with the target transmitter power; - determining if a magnitude of the potential voltage change is equal to or larger than a discrete step size of a supply voltage provided by a power supply , wherein the power supply is coupled to the wireless power transmitter and configured to provide the supply voltage to the wireless power transmitter; and - in response to determining that the magnitude of the potential voltage change is equal to or larger than the discrete step size of the supply voltage, adjusting a transmitter power of the wireless power transmitter by: - setting the supply voltage provided by the power supply to a first voltage value by changing the supply voltage by one or more discrete steps; - computing a first target current value for a transmitter current of the wireless power transmitter in accordance with the target transmitter power and the first voltage value; and - controlling a power conversion circuit of the wireless power transmitter using the first target current value, wherein the power conversion circuit is coupled to a coil of the wireless power transmitter, and is configured to provide an alternate current, AC, voltage to the coil of the wireless power transmitter. - receiving a power control command from a wireless power receiver inductively coupled to the wireless power transmitter ; - computing a target transmitter power for the wireless power transmitter in accordance with the power control command; - computing a potential voltage change for a transmitter voltage of the wireless power transmitter in accordance with the target transmitter power; - determining if a magnitude of the potential voltage change is equal to or larger than a discrete step size of a supply voltage provided by a power supply , wherein the power supply is coupled to the wireless power transmitter and configured to provide the supply voltage to the wireless power transmitter; and - in response to determining that the magnitude of the potential voltage change is equal to or larger than the discrete step size of the supply voltage, adjusting a transmitter power of the wireless power transmitter by: - setting the supply voltage provided by the power supply to a first voltage value by changing the supply voltage by one or more discrete steps; - computing a first target current value for a transmitter current of the wireless power transmitter in accordance with the target transmitter power and the first voltage value; and - controlling a power conversion circuit of the wireless power transmitter using the first target current value, wherein the power conversion circuit is coupled to a coil of the wireless power transmitter, and is configured to provide an alternate current, AC, voltage to the coil of the wireless power transmitter. - setting the supply voltage provided by the power supply to a first voltage value by changing the supply voltage by one or more discrete steps; - computing a first target current value for a transmitter current of the wireless power transmitter in accordance with the target transmitter power and the first voltage value; and - controlling a power conversion circuit of the wireless power transmitter using the first target current value, wherein the power conversion circuit is coupled to a coil of the wireless power transmitter, and is configured to provide an alternate current, AC, voltage to the coil of the wireless power transmitter. <EOS>