Methods, apparatus, systems and articles of manufacture to efficiently transfer power wirelessly are disclosed. An example apparatus includes a feedback loop to when a second current value is greater than a first current value, change a direction value, the second current value being obtained after the first current value; when the second current value is less than the first current value, maintain the direction value; and a summer to when the direction value corresponds to a first direction value, increase a reference signal by a step size; and when the direction value corresponds to a second direction value different than the first direction value, decrease the reference signal by the step size.