On the Imp ossibility of an Arbitrarily Precise, Continuous and Realtime Maximum Power Point Tracking Control

Abstract

This pap er presents an investigation on the challenges of a continuous realtime MPPT algorithm, presenting a mathematically backed discussion that such a control is unfeasible and arguably imp ossible by showing that continuously tracking a Maximum Power Point is equivalent to continuously solving a set of Partial Dierential Equations which b oundary conditions are unknown. The implications of this conclusion are far-reaching: seen as such a control is imp ossible, simulating it b ecomes equally unfeasible which hinders researchers and designers capabilities of simulating and designing MPPT-controlled systems using continuous time dierential equations. This in turn makes imp ossible the usage of continuous mo dels in Electrical Power System studies, further thickening the issue by making it insurmountable to assess stability impacts of such system in p ower systems integrating MPPT controlled devices.