Power quality analysis of electromechanical energy conversion: A Budeanu approach

The concept of magneto-electric root mean square (RMS) is extended to the motional cases, where electromechanical energy conversion processes are concurrently present. Emerge, with undiminished physical meaning, the concepts of mechanical RMS of force f(t) and velocity u(t). In this way is possible, regarding the instantaneous conversion relation p_m(t)=f(t)·u(t)=e(t)·i(t)=p_e(t) in terms of RMS values, to correlate the two coupled systems (the electrical and the mechanical), in order to consider the two necessary and distinct sizing powers: the first associated to the mechanical movement of masses and the second to the movement of electric charges in the conductors. With these results and supposing that the electromechanical energy conversion process is periodic, it is possible to perform an energetic and power quality analysis in frequency domain. What emerges is a theory formally amenable to the Budeanu one. And, despite the critics already well highlighted against this approach, a "mechanical inactive power" that can be considered as an index of electromechanical power quality. Views from the two distinct electric and magnetic ports, the proposed approach is conceptually unitary: taking into account the Lagrangian approach under which the theory of electromechanical conversion is due, the dynamic factors F and E are both forces; similarly, the kinetic factors U and / are the two speeds which perform the development of power: the first associated with the geometric coordinates x, the second to electrical coordinate q.