Variational control approach to energy extraction from a fluid flow
| Autor: | Federica Mezzani, Antonio Carcaterra, Franco Rispoli, Luca Cedola, Gianluca Pepe |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Control and Optimization
Computer science 020209 energy Energy Engineering and Power Technology 02 engineering and technology Turbine lcsh:Technology Energy storage Pontryagin's minimum principle wind turbine optimal control Control theory Wind wave 0202 electrical engineering electronic engineering information engineering Fluid dynamics variational feedback control steady wind turbine Electrical and Electronic Engineering Engineering (miscellaneous) Renewable Energy Sustainability and the Environment lcsh:T 021001 nanoscience & nanotechnology Optimal control Power (physics) Vibration 0210 nano-technology Energy harvesting Energy (signal processing) Energy (miscellaneous) |
| Zdroj: | Energies; Volume 13; Issue 18; Pages: 4913 Energies, Vol 13, Iss 4913, p 4913 (2020) |
| Popis: | Energy harvesting from the environment is an important aspect of many technologies. The scale of energy capturing and storage can involve the power range from mWatt up to MWatt, depending on the used devices and the considered environments (from ambient acoustic and vibration to ocean wave motion, or wind). In this paper, the wind turbine energy harvesting problem is approached as an optimal control problem, where the objective function is the absorption of an amount of energy in a given time interval by a fluid-flow environment, that should be maximized. The interest relies on outlining general control models of fluid-flow-based extraction plants and identifying an optimum strategy for the regulation of an electrical machine to obtain a maximum-efficiency process for the related energy storage. The mathematical tools are found in the light of optimal control theory, where solutions to the fundamental equations are in the frame of Variational Control (the basis of the Pontryagin optimal control theory). A special problem, named Optimally Controlled Betz’s Machine OCBM-optimal control steady wind turbine, is solved in closed form, and it is shown that, in the simpler steady case, it reproduces the maximum efficiency machine developed in Betz’s theory. |
| Databáze: | OpenAIRE |
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