Layout Optimization Design of Two Vortex Induced Piezoelectric Energy Converters (VIPECs) Using the Combined Kriging Surrogate Model and Particle Swarm Optimization Method

The layout configuration of Vortex Induced Piezoelectric Energy Converters (VIPECs) is essential to improve its overall performance. Based on the formations of migrating geese, the configuration is characterized by two nondimensionalized layout parameters. A number of sampled points for different co...

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Main Authors: Xinyu An, Baowei Song, Zhaoyong Mao, Congcong Ma
Format: Article
Language:English
Published: MDPI AG 2018-08-01
Series:Energies
Subjects:
Online Access:http://www.mdpi.com/1996-1073/11/8/2069
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spelling doaj-1d53ed9de0b9494db2eea302328c526f2020-11-25T01:40:24ZengMDPI AGEnergies1996-10732018-08-01118206910.3390/en11082069en11082069Layout Optimization Design of Two Vortex Induced Piezoelectric Energy Converters (VIPECs) Using the Combined Kriging Surrogate Model and Particle Swarm Optimization MethodXinyu An0Baowei Song1Zhaoyong Mao2Congcong Ma3School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, ChinaLaboratoire Roberval, Université de Technologie de Compiègne, 60200 Compiègne, FranceThe layout configuration of Vortex Induced Piezoelectric Energy Converters (VIPECs) is essential to improve its overall performance. Based on the formations of migrating geese, the configuration is characterized by two nondimensionalized layout parameters. A number of sampled points for different configurations are simulated with the two-dimensional Computation Fluid Dynamics (CFD) method. The influence of layout configurations on VIPECs’ lift force and wake structure is investigated and the generated open circuit output voltage is obtained through the derived output voltage equation. The response surface model of the output voltage of both the leading VIPEC and the following VIPEC and their summation are established using the Kriging surrogate model based on the obtained simulation results. Then, optimal layout parameters are found through the Particle Swarm Optimization (PSO) algorithm, and its predicted result is compared with that of the CFD simulation. The simulation and optimization results reveal that the output voltage is not always consistent with the lift force on the plate. When VIPECs are placed in parallel with a certain spacing, their overall performance increases. The summation of output voltage is predicted to improve by approximately 63.7% compared to two single VIPECs when they are placed at the optimal layout parameters.http://www.mdpi.com/1996-1073/11/8/2069vortex sheddingpiezoelectric energy converterlift coefficientseparation angleopen circuit output voltageComputatinal Fluid Dynamics (CFD)Kriging surrogate modelParticle Swarm Optimization (PSO)
collection DOAJ
language English
format Article
sources DOAJ
author Xinyu An
Baowei Song
Zhaoyong Mao
Congcong Ma
spellingShingle Xinyu An
Baowei Song
Zhaoyong Mao
Congcong Ma
Layout Optimization Design of Two Vortex Induced Piezoelectric Energy Converters (VIPECs) Using the Combined Kriging Surrogate Model and Particle Swarm Optimization Method
Energies
vortex shedding
piezoelectric energy converter
lift coefficient
separation angle
open circuit output voltage
Computatinal Fluid Dynamics (CFD)
Kriging surrogate model
Particle Swarm Optimization (PSO)
author_facet Xinyu An
Baowei Song
Zhaoyong Mao
Congcong Ma
author_sort Xinyu An
title Layout Optimization Design of Two Vortex Induced Piezoelectric Energy Converters (VIPECs) Using the Combined Kriging Surrogate Model and Particle Swarm Optimization Method
title_short Layout Optimization Design of Two Vortex Induced Piezoelectric Energy Converters (VIPECs) Using the Combined Kriging Surrogate Model and Particle Swarm Optimization Method
title_full Layout Optimization Design of Two Vortex Induced Piezoelectric Energy Converters (VIPECs) Using the Combined Kriging Surrogate Model and Particle Swarm Optimization Method
title_fullStr Layout Optimization Design of Two Vortex Induced Piezoelectric Energy Converters (VIPECs) Using the Combined Kriging Surrogate Model and Particle Swarm Optimization Method
title_full_unstemmed Layout Optimization Design of Two Vortex Induced Piezoelectric Energy Converters (VIPECs) Using the Combined Kriging Surrogate Model and Particle Swarm Optimization Method
title_sort layout optimization design of two vortex induced piezoelectric energy converters (vipecs) using the combined kriging surrogate model and particle swarm optimization method
publisher MDPI AG
series Energies
issn 1996-1073
publishDate 2018-08-01
description The layout configuration of Vortex Induced Piezoelectric Energy Converters (VIPECs) is essential to improve its overall performance. Based on the formations of migrating geese, the configuration is characterized by two nondimensionalized layout parameters. A number of sampled points for different configurations are simulated with the two-dimensional Computation Fluid Dynamics (CFD) method. The influence of layout configurations on VIPECs’ lift force and wake structure is investigated and the generated open circuit output voltage is obtained through the derived output voltage equation. The response surface model of the output voltage of both the leading VIPEC and the following VIPEC and their summation are established using the Kriging surrogate model based on the obtained simulation results. Then, optimal layout parameters are found through the Particle Swarm Optimization (PSO) algorithm, and its predicted result is compared with that of the CFD simulation. The simulation and optimization results reveal that the output voltage is not always consistent with the lift force on the plate. When VIPECs are placed in parallel with a certain spacing, their overall performance increases. The summation of output voltage is predicted to improve by approximately 63.7% compared to two single VIPECs when they are placed at the optimal layout parameters.
topic vortex shedding
piezoelectric energy converter
lift coefficient
separation angle
open circuit output voltage
Computatinal Fluid Dynamics (CFD)
Kriging surrogate model
Particle Swarm Optimization (PSO)
url http://www.mdpi.com/1996-1073/11/8/2069
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AT baoweisong layoutoptimizationdesignoftwovortexinducedpiezoelectricenergyconvertersvipecsusingthecombinedkrigingsurrogatemodelandparticleswarmoptimizationmethod
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