Revisit to the theoretical analysis of a classical piezoelectric vibration energy harvester
- PDF / 2,040,600 Bytes
- 17 Pages / 595.276 x 790.866 pts Page_size
- 35 Downloads / 174 Views
O R I G I NA L
Maoying Zhou
· Huijun Zhao
Revisit to the theoretical analysis of a classical piezoelectric vibration energy harvester
Received: 7 December 2019 / Accepted: 25 June 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract In this paper, we investigate the problem for a classical piezoelectric vibration energy harvester. Exact theoretical solution to the problem is derived and compared to the solutions proposed in the literature. Asymptotic expansions of the solution are explored in the hope of finding a plausible simpler approximation of the solution and corresponding output performance measures. Dependence of the output performance measures upon the electromechanical coupling factor is therefore studied. Some tips are then provided for the design of piezoelectric energy harvester. Keywords Piezoelectric vibration energy harvesting · Modal expansion · Harmonic balance · Asymptotic expansion
1 Introduction The soaring development of wireless sensor networks (WSNs) and Internet of things (IoTs) in the past decades has intrigued the research into sustainable and renewable energy sources for low-power electronics. The primary research goal is to partially or even fully replace currently used battery power or utility wall power, which are generally expensive, inconvenient, and sometimes impossible. To this end, much attention has been paid to energy harvesters, which convert the available energy in the ambient environment into usable electricity. A number of principles, mechanisms, and implementations of energy harvesters have been put forward since their first appearance in the 1990s [1–4], among which piezoelectric vibration energy harvesters (PVEHs) have gained the most widespread research popularity. PVEHs are typically composite structures made up of some piezoelectric elements and vibration transduction mechanisms. They are generally attached to the host structures and undergo forced vibration. With the help of the vibration transduction mechanisms, the piezoelectric elements are excited in the desired vibration modes and generate electrical outputs due to direct piezoelectric effect. A majority of PVEHs work in resonance, in the sense that the maximum output power for an externally connected pure resistance is achieved when the base excitation frequency matches that of the PVEH [5]. To understand the operation principles and guide the performance optimization, researchers have proposed different mathematical models for PVEHs. A most direct and simple approach is to use the single-degree-of-freedom (SDOF) approximation, in which the electrical domain and the mechanical domain are using SDOF resonator models, respectively. Besides, the electromechanical coupling between these two domains is represented by a constant coefficient [5,6]. This lumped-parameter model provides fruitful insights into the mechanism and dynamics behind the energy harvesting process and has been employed in the performance improvement and optimization of PVEHs [7,8]. M. Zhou (B) · H. Zhao School of Mech
Data Loading...