Optimal power recovery in a bi-stable energy harvester

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]

Energy harvesting is an industrial technology with great potential to provide energetic solutions for low power autonomous systems, such as wearable electronics, network sensors, medical implants, etc, which has attracted the interest of recent studies [1,2], especially when the focus is the optimization of the energy recovery process [3]. In this sense, this work deals with the formulation and numerical solution of a robust nonlinear optimization problem which seeks to maximize the recovery of electrical power by a bi-stable energy harvester prototypical of Erturk et al. [4]. This robust optimization problem is formulated in terms of the response of the harvester stochastic dynamics, which considers electro-mechanical coupling parameters uncertainties, and a classifier obtained from 0-1 test for chaos [5]. The objective function is defined as the expected value of the output power, while the nonlinear constraint is given by the 0-1 classifier function. A stochastic strategy of solution, combining penalization and cross-entropy method is proposed and tested numerically. The results illustrate the effectiveness of the proposed optimization strategy when compared to a reference solution obtained with a standard exhaustive search in a very fine grid. References: [1] J. V. L. L. Peterson, V. G. Lopes, and A. Cunha Jr, Numerically exploring the nonlinear dynamics of a piezo-magneto-elastic energy harvesting device. (in preparation) [2] J. V. L. L. Peterson, V. G. Lopes, A. Cunha Jr, On the nonlinear dynamics of a bi-stable piezoelectric energy harvesting device. In: 24th ABCM International Congress of Mechanical Engineering (COBEM 2017), Curitiba, Brazil, 2017. [3] A. Cunha Jr, Enhancing the performance of a bi-stable energy harvesting device via cross- entropy method. (under review) https://hal.archives-ouvertes.fr/hal-01531845 [4] A. Erturk, J. Hoffmann, and D. J. Inman, A piezomagnetoelastic structure for broadband vibration energy harvesting, Applied Physics Letters, 94:254102, 2009. http://dx.doi.org/10.1063/1.3159815 [5] G. A. Gottwald, and I. Melbourne, The 0-1 Test for Chaos: A review. In: C. Skokos, G.A. Gottwald, and J. Laskar (Eds.). Chaos Detection and Predictability, Springer Lecture Notes in Physics 915, 2016. http://dx.doi.org/10.1007/978-3-662-48410-4

Domaines: Vibrations [physics.class-ph]; Dynamique Chaotique [nlin.CD]; Probabilités [math.PR]; Statistiques [math.ST]; Mécanique des structures [physics.class-ph]; Mécanique des solides [physics.class-ph]; Génie mécanique [physics.class-ph]

Americo Cunha Jr. Optimal power recovery in a bi-stable energy harvester. 4th International Conference on Structural Nonlinear Dynamics and Diagnosis (CSNDD'2018), Jun 2018, Tangier, Morocco. ⟨hal-01811698⟩