Optimal Energy Harvesting Control of an Aeroelastically Coupled Plate Excited by a Turbulent Boundary Layer
Increased energy autonomy is emerging as an important design consideration in modern engineering systems. One key enabler towards this end is the potential to extract energy from environmental sources of structural resonance, where materials that become electrically active under stress can be used to route power to an energy harvester. In this study, the partial differential equations of motion for ambient flow-induced vibrations upon a smart material panel are rewritten as systems of ordinary differential equations and recast in state variable form to allow for a robust control formulation for optimizing harvested power. This work builds on several ongoing and past research efforts at Duke University, where linear potential flow aerodynamic state space models as well as the general theory for stochastic energy harvesting from a network of smart material beams was first developed. When considering all energy dissipation pathways—structural and aerodynamic damping, acoustic radiation, and electrical network losses—a theoretical assessment of the power available across a range of Mach numbers in the presence of stochastic boundary layer pressures can be achieved.