Numerical and technological tools have been developed for complete electromechanical integration of innovative shunting damping strategies for piezoelectric composite beam stabilization to realize a new type of hybrid piezocomposite smart structure. The approach enhances the performance of fully passive configurations to control mechanical power flow in a beam by using negative capacitance elements. In contrast to passive shunted components that target discrete modes, negative capacitance shunted piezoelectric transducers offer the potential for broadband control from the low Hertz into the kilohertz range. This paper presents an original approach to tune vibration power flow dispersion in a piezocomposite beam to obtain total wave absorption by only optimizing the electrical circuit configuration shunting a single piezopatch. The numerical study considers the power flow efficiency of the strategy and the stability and robustness difficulties observed when a single device is considered. The simplicity of the proposed electromechanical controlling device affords the possibility to define and realize distributed configurations and also lends itself to integrated distributed smart composite structures.