Abstract
Based on the improved interval extension, a robust optimization method for nonlinear monostable energy harvesters with uncertainties is developed. In this method, the 2nd order terms in the interval extension formula of the objective function (output voltage) are kept so this approach is suitable for a nonlinear energy harvesting system. To illustrate this method, uncertain mass, uncertain capacitance and uncertain electromechanical coupling coefficient are optimized to maximize the central point of output voltage whose deviation of which is simultaneously minimized. Then, an optimal design with different robustness is obtained. The results also show that the robustness of the optimal design of nonlinear monostable energy harvesters is increased, but the cost of performance has to be paid for. Overall, the framework provides the optimal design for nonlinear energy harvesters (monostable, bistable, tristable, multistable harvesters).
Highlights
In the last decade, vibration energy harvesting was often researched for its great potential application and market in powering low-power wireless sensor networks, portable electronic mobile devices and embedded devices applied to monitor structural health and vibration control [1,2,3,4,5,6]
This paper presents a robust design optimization method based on the improved interval extension to obtain a robust design of the nonlinear monostable energy harvester (NMEH) with uncertain design variables
Parameter e1 is set as 0.1 to obtain optimal design with better robustness, and the robust design optimization problem defined in Table 4 is calculated again
Summary
Vibration energy harvesting was often researched for its great potential application and market in powering low-power wireless sensor networks, portable electronic mobile devices and embedded devices applied to monitor structural health and vibration control [1,2,3,4,5,6]. Different kinds of energy harvesters were designed to efficiently harvest energy from flow induced vibration, base vibration, and human bodies, etc. Erturk and Inman [21, 22] designed a Duffingtyped bistable energy harvester to efficiently harvest energy from base harmonic excitations, and they found the high-energy interwell orbits. During the designing and production of nonlinear energy harvesters, their structural and electrical parameters are uncertain due to the errors in the manufacturing process. These uncertain parameters have a significant impact on the output voltage. Two kinds of uncertain analysis methods are developed: non-probabilistic and probabilistic approaches [30]
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