Enhancing the performance of a bistable energy harvesting device via the cross-entropy method

Americo Cunha Jr (1)

1 UERJ - Universidade do Estado do Rio de Janeiro [Brasil] = Rio de Janeiro State University [Brazil] = Université d'État de Rio de Janeiro [Brésil]

This work deals with the solution of a non-convex optimization problem to enhance the performance of an energy harvesting device, which involves a nonlinear objective function and a discontinuous constraint. This optimization problem, which seeks to find a suitable configuration of parameters that maximize the electrical power recovered by a bistable energy harvesting system, is formulated in terms of the dynamical system response and a binary classifier obtained from 0-1 test for chaos. A stochastic solution strategy that combines penalization and the cross-entropy method is proposed and numerically tested. Computational experiments are conducted to address the performance of the proposed optimization approach by comparison with a reference solution, obtained via an exhaustive search in a refined numerical mesh. The obtained results illustrate the effectiveness and robustness of the cross-entropy optimization strategy, showing that the proposed framework may be a very useful and powerful tool to solve optimization problems involving nonlinear energy harvesting dynamical systems.

Domaines: Vibrations [physics.class-ph]; Dynamique Chaotique [nlin.CD]; Probabilités [math.PR]; Statistiques [math.ST]; Génie mécanique [physics.class-ph]; Optimisation et contrôle [math.OC]

Americo Cunha Jr. Enhancing the performance of a bistable energy harvesting device via the cross-entropy method. Nonlinear Dynamics, 2021, 103, pp.137-155. ⟨10.1007/s11071-020-06109-0⟩. ⟨hal-01531845v4⟩