This paper presents a fast method of power synthesis for reconfigurable conformal antenna arrays that allows one to generate a set of desired radiation patterns, each transformable into any of the others by modifying only the phase of each array element, while reducing the Dynamic Range Ratio (DRR) of the excitation amplitudes of the array elements. The method adopts a set of auxiliary phase patterns to reformulate the original power synthesis problem as a field synthesis one. A functional involving the desired amplitude patterns and the array excitations is iteratively minimized by updating the phase patterns and the excitations. The results show that the method allows beam scanning operations involving also the suppression of multiple fixed interference regions, with acceptable CPU times.