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IN-VENTO 2014
XIII Conference of the Italian Association for Wind Engineering
22-25 June 2014, Genova, Italy
Piezoelectric Energy Harvesting under Air Flow Excitation
Francesco Petrini, Konstantinos Gkoumas and Franco Bontempi
Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Italy
Corresponding author: Francesco Petrini, francesco.petrini@uniroma1.it
Abstract
This study focuses on the numerical analysis of a high efficiency Energy Harvesting device, based on
piezoelectric materials, for the sustainability of smart buildings, structures and infrastructures. Before that, a
comprehensive literature review on the topic takes place. The device consists in an aerodynamic fin attached to a
piezoelectric element that makes use of the air flow to harvest energy. The principal utilization of this device is
for energy autonomous sensors, with applications in bridges, transportation networks and smart buildings. The
results are corroborated by advanced analytical and numerical analyses (in ANSYS®) that demonstrate the
energy harvesting capacity.
1 Introduction
There is a strong consensus in the engineering community and the society for the realisation of
enhanced structures and infrastructures. In addition to safety and functionality requirements,
collectively addressed by the so-called “Performance-Based Design” (SEAOC, 1995; Spekkink, 2005),
one of the pillars of contemporary structural engineering, today the attention focuses on the most
broad and profound notion of “sustainability” (Ehrenfeld, 2008). In this sense, the modern
construction industry embraces the concept of smart structural systems that behave optimally with
respect to the human needs, being at the same time coherently collocated in the environment
(Srinivasan & McFarland, 2001) and inserted in a context of resilient cities (Rose, 2011). Smart
structural systems combine their primary function with additional capabilities. For instance, a bridge
can pair its primary function of carrying vehicular traffic with several secondary features, such as an
embedded set of sensors that constantly monitor the structural condition, or devices able to provide
power to the bridge itself and make it (partially) self-sufficient, more sustainable and environmentally
friendly. This study investigates this latter type of smart features, with focus on structural and
mechanical models for piezoelectric energy harvesting devices under airflow excitation.
Energy Harvesting (EH) can be defined as the process of collecting energy from the environment
or from a surrounding system and converting it to useable electrical energy. The idea of harvesting
freely available energy is not new, and dates back to the invention of windmills and watermills.
Modern wind turbines can be considered the direct and straightforward evolution of ancient windmills.
However, today EH is performed with a much broader set of devices and techniques, and has become
a prominent research topic also in the field of civil engineering, with several promising applications to
structural and infrastructural systems. For instance, current popular areas of application extend from
powering small autonomous wireless sensors (thus eliminating the need for wires) up to large auxiliary
systems (e.g., road lights, signs or information panels, in the case of transportation infrastructure), thus
contributing towards the pursue of sustainable structures and infrastructures (Gkoumas, 2012).
From this point of view, EH in civil engineering is part of a global clean energy trend that
encompasses several aspects and disciplines, and focuses on the use of renewable sources and the
reduction of fossil fuel usage for a more sustainable development (Adams, 2006).
Several proposals and applications can be found in literature and practice, mostly using solar and
wind energy. The latter is of particular interest for high-rise buildings and long span bridges, due to
the superior characteristics of the wind field.
Petrini et al Piezoelectric Energy Harvesting under Air Flow Excitation
2 Energy harvesting for smart buildings, structures and transportation infrastructures
So far, EH for smart buildings, structures and infrastructures has been focusing mostly on the
production of small amounts of energy for powering SHM (Structural Health Monitoring) systems, so
the topics of EH and SHM are strictly related in the literature. Some more recent applications, still
mostly at a conceptual level, aim at supplying power to auxiliary systems (e.g. road lights or
information panels), thus, contributing to the development of sustainable and self-sufficient
infrastructure systems. More recently, EH is implemented in devices for smart building automation.
Spencer & Cho (2011) reviewed the recent developments in SHM technologies, including an
energy harvesting options for sustainable operation. The same paper reports on a number of recent full
scale implementations of EH for SHM networks. Gkoumas (2012) provided a literature review and a
framework for the optimal implementation of EH applications in transportation networks. A review of
the EH applications on this topic can be found also in Park et al. (2008). The authors, after providing
an overview of SHM, focus on the energy generation from mechanical vibrations as a powering option.
In the same paper, the power requirements of existing and emerging sensing modalities are discussed,
and future directions are given.
In the field of piezoelectric material modelling, several alternatives have been proposed in literature.
Erturk and Inman, 2008, provide a critical review and identify the principal issues in the mechanism of
piezoelectric coupling and the basic excitation relation. Numerical (Finite Element) modelling of
piezoelectric material presents many challenges for what regards the coupling between the
deformation and diffusion in the piezoelectric material. De Miranda et al. (2009) studied the coupled
piezo-diffusion in elastic solids and provided indications and examples for the accurate modelling,
overcoming simplistic assumptions of displacement and concentration of the material as independent
variables in the model.
Focusing on the specific application proposed in this research (piezoelectric benders), recent
developments seem promising in terms of EH capacity. In a recent study by Weinstein et al (2012), the
EH potential is investigated, both analytically and experimentally, in heating, ventilation and air
conditioning flows. The energy effectively harvested is augmented by means of an aerodynamic fin
attached at the end of the piezoelectric cantilever and the vortex shedding downstream from a bluff
body placed along the airflow in front of the fin/cantilever assembly.
Figure 1. The device for EH (in orange in the figure) and its collocation inside a HVAC duct.
Petrini et al Piezoelectric Energy Harvesting under Air Flow Excitation
Figure 1 provides a schematic representation of a possible application of the EH device, object of
this study. The EH device, could harvest the airflow powered inside Heating, Ventilation and Air
Conditioning (HVAC) systems, using a piezoelectric component and an appropriate customizable
aerodynamic appendix or fin that takes advantage of specific air flow effects (principally Vortex
Shedding), and can be implemented for optimising the energy consumption inside buildings. The
possibility to implement autonomous sensors inside a building that monitor relevant parameters
(temperature, humidity, chemical agents concentration etc.), and transmit intermittently data to a
central unit is a recent and rapidly grown business, helped by the standardisation of wireless (wi-fi)
data transmission.
3 Numerical modelling
The proposed research focuses on the numerical modelling of different configurations of a
piezoelectric bender and an attached fin (Figure 2).
The ANSYS® numerical code is used for the analyses (ANSYS, 2011). In the analysis, different
air-flow intensities are considered.
Figure 2. Numerical model of the piezoelectric bender and the fin (left); deformed shape of bender and the fin
under air flow excitation.
A performance-based parametric analysis is conducted in order to assess the optimal values of
some design and operating condition parameters, including length, width, thickness, constitutive
material of the bender and velocity and turbulence intensity of the incoming airflow. The response
parameters used for evaluating the performances include:
- The bender max tip displacement;
- The bender vibration frequency;
- The rms of the voltage generated by the device.
Considerations are made for the harvested energy potential and possible applications in structures,
infrastructures and smart buildings.
References
Abdelkefi, A., Nayfeh, A.H., Hajj, M.R., 2012. Design of piezoaeroelastic energy harvesters.
Nonlinear Dynamics 68 (4), 519-530.
Adams, W.M. (2006). The Future of Sustainability: Re-thinking Environment and Development in the
Twenty-first Century. Report of the IUCN Renowned Thinkers Meeting, 29-3.
ANSYS (2011). ANSYS FLUENT Theory Guide. Release 14.0. ANSYS, Inc.
Petrini et al Piezoelectric Energy Harvesting under Air Flow Excitation
De Miranda, S., Garikipati, K., Molari, L. and Ubertini, F. (2009). A simple solution strategy for
coupled piezo-diffusion in elastic solids. Computational Mechanics, 44, 191-203.
Doaré, O., Michelin, S., 2011. Piezoelectric coupling in energy-harvesting fluttering flexible plates:
linear stability analysis and conversion efficiency. Journal of Fluids and Structures 27 (8), 1357-
1375.
Ehrenfeld, J.R. (2008). Sustainability by Design: A Subversive Strategy for Transforming Our
Consumer Culture. Yale University Press.
Erturk, A. and Inman, D.J. (2008). Issues in mathematical modeling of piezoelectric energy harvesters.
Smart Materials and Structures, 17, 14pp.
Gkoumas, K. (2012). Energy harvesting in bridges and transportation infrastructure networks: state of
art, recent trends and future developments. IABMAS 2012 - The 6th International Conference on
Bridge Maintenance, Safety and Management, July 8-12, Stresa, Lake Maggiore, Italy.
Kwon, S.-D., Lee, H., Lee, S., Wind energy harvesting from flutter. In: Proceedings of the 13th
International Conference on Wind Engineering (ICWE-13), Amsterdam, NL, July 10-15, 2011,
paper No. 071 (CD-ROM).
Park, G., Rosing, T., Todd, M.D., Farrar, C.R. and Hodgkiss, W. (2008). Energy Harvesting for
Structural Health Monitoring Sensor Networks. ASCE Journal of Infrastructure Systems, 14(1), 64-
79.
Priya, S., Inman, D.J., 2009. Energy harvesting technologies. Springer Science, New York, NY, USA.
Rose, A. (2011). Resilience and sustainability in the face of disasters. Environmental Innovation and
Societal Transitions, 1, 96-100.
SEAOC. (1995). Vision 2000 - A Framework For Performance Based Design. Volumes I, II, III.
Structural Engineers Association of California, Vision 2000 Committee.
Spekkink, D. (2005). Performance based design: bringing Vitruvius up to date, PeBBu Domain 3
Report, Rotterdam, 52 pp.
Spencer, B.F. Jr. and Cho., S. (2011). Wireless Smart Sensor Technology for Monitoring Civil
Infrastructure: Technological Developments and Full-scale Applications. The 2011 World
Congress on Advances in Structural Engineering and Mechanics (ASEM'11+), September 18-22,
Seoul, Korea.
Srinivasan, A.V. and McFarland., D.M. (2001). Smart Structures. Cambridge University Press.
Tang, L., Païdoussis, M.P., Jiang, J., 2009. Cantilevered flexible plates in axial flow: Energy transfer
and the concept of flutter-mill. Journal of Sound and Vibration 326 (1-2), 263-276
Weinstein, L.A., Cacan, M.R., So, P.M. and Wright, P.K. (2012). Vortex shedding induced energy
harvesting from piezoelectric materials in heating, ventilation and air conditioning flows. Smart
Materials and Structures, 21(4), 10pp.

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Piezoelectric Energy Harvesting under Air Flow Excitation.

  • 1. IN-VENTO 2014 XIII Conference of the Italian Association for Wind Engineering 22-25 June 2014, Genova, Italy Piezoelectric Energy Harvesting under Air Flow Excitation Francesco Petrini, Konstantinos Gkoumas and Franco Bontempi Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Italy Corresponding author: Francesco Petrini, francesco.petrini@uniroma1.it Abstract This study focuses on the numerical analysis of a high efficiency Energy Harvesting device, based on piezoelectric materials, for the sustainability of smart buildings, structures and infrastructures. Before that, a comprehensive literature review on the topic takes place. The device consists in an aerodynamic fin attached to a piezoelectric element that makes use of the air flow to harvest energy. The principal utilization of this device is for energy autonomous sensors, with applications in bridges, transportation networks and smart buildings. The results are corroborated by advanced analytical and numerical analyses (in ANSYS®) that demonstrate the energy harvesting capacity. 1 Introduction There is a strong consensus in the engineering community and the society for the realisation of enhanced structures and infrastructures. In addition to safety and functionality requirements, collectively addressed by the so-called “Performance-Based Design” (SEAOC, 1995; Spekkink, 2005), one of the pillars of contemporary structural engineering, today the attention focuses on the most broad and profound notion of “sustainability” (Ehrenfeld, 2008). In this sense, the modern construction industry embraces the concept of smart structural systems that behave optimally with respect to the human needs, being at the same time coherently collocated in the environment (Srinivasan & McFarland, 2001) and inserted in a context of resilient cities (Rose, 2011). Smart structural systems combine their primary function with additional capabilities. For instance, a bridge can pair its primary function of carrying vehicular traffic with several secondary features, such as an embedded set of sensors that constantly monitor the structural condition, or devices able to provide power to the bridge itself and make it (partially) self-sufficient, more sustainable and environmentally friendly. This study investigates this latter type of smart features, with focus on structural and mechanical models for piezoelectric energy harvesting devices under airflow excitation. Energy Harvesting (EH) can be defined as the process of collecting energy from the environment or from a surrounding system and converting it to useable electrical energy. The idea of harvesting freely available energy is not new, and dates back to the invention of windmills and watermills. Modern wind turbines can be considered the direct and straightforward evolution of ancient windmills. However, today EH is performed with a much broader set of devices and techniques, and has become a prominent research topic also in the field of civil engineering, with several promising applications to structural and infrastructural systems. For instance, current popular areas of application extend from powering small autonomous wireless sensors (thus eliminating the need for wires) up to large auxiliary systems (e.g., road lights, signs or information panels, in the case of transportation infrastructure), thus contributing towards the pursue of sustainable structures and infrastructures (Gkoumas, 2012). From this point of view, EH in civil engineering is part of a global clean energy trend that encompasses several aspects and disciplines, and focuses on the use of renewable sources and the reduction of fossil fuel usage for a more sustainable development (Adams, 2006). Several proposals and applications can be found in literature and practice, mostly using solar and wind energy. The latter is of particular interest for high-rise buildings and long span bridges, due to the superior characteristics of the wind field.
  • 2. Petrini et al Piezoelectric Energy Harvesting under Air Flow Excitation 2 Energy harvesting for smart buildings, structures and transportation infrastructures So far, EH for smart buildings, structures and infrastructures has been focusing mostly on the production of small amounts of energy for powering SHM (Structural Health Monitoring) systems, so the topics of EH and SHM are strictly related in the literature. Some more recent applications, still mostly at a conceptual level, aim at supplying power to auxiliary systems (e.g. road lights or information panels), thus, contributing to the development of sustainable and self-sufficient infrastructure systems. More recently, EH is implemented in devices for smart building automation. Spencer & Cho (2011) reviewed the recent developments in SHM technologies, including an energy harvesting options for sustainable operation. The same paper reports on a number of recent full scale implementations of EH for SHM networks. Gkoumas (2012) provided a literature review and a framework for the optimal implementation of EH applications in transportation networks. A review of the EH applications on this topic can be found also in Park et al. (2008). The authors, after providing an overview of SHM, focus on the energy generation from mechanical vibrations as a powering option. In the same paper, the power requirements of existing and emerging sensing modalities are discussed, and future directions are given. In the field of piezoelectric material modelling, several alternatives have been proposed in literature. Erturk and Inman, 2008, provide a critical review and identify the principal issues in the mechanism of piezoelectric coupling and the basic excitation relation. Numerical (Finite Element) modelling of piezoelectric material presents many challenges for what regards the coupling between the deformation and diffusion in the piezoelectric material. De Miranda et al. (2009) studied the coupled piezo-diffusion in elastic solids and provided indications and examples for the accurate modelling, overcoming simplistic assumptions of displacement and concentration of the material as independent variables in the model. Focusing on the specific application proposed in this research (piezoelectric benders), recent developments seem promising in terms of EH capacity. In a recent study by Weinstein et al (2012), the EH potential is investigated, both analytically and experimentally, in heating, ventilation and air conditioning flows. The energy effectively harvested is augmented by means of an aerodynamic fin attached at the end of the piezoelectric cantilever and the vortex shedding downstream from a bluff body placed along the airflow in front of the fin/cantilever assembly. Figure 1. The device for EH (in orange in the figure) and its collocation inside a HVAC duct.
  • 3. Petrini et al Piezoelectric Energy Harvesting under Air Flow Excitation Figure 1 provides a schematic representation of a possible application of the EH device, object of this study. The EH device, could harvest the airflow powered inside Heating, Ventilation and Air Conditioning (HVAC) systems, using a piezoelectric component and an appropriate customizable aerodynamic appendix or fin that takes advantage of specific air flow effects (principally Vortex Shedding), and can be implemented for optimising the energy consumption inside buildings. The possibility to implement autonomous sensors inside a building that monitor relevant parameters (temperature, humidity, chemical agents concentration etc.), and transmit intermittently data to a central unit is a recent and rapidly grown business, helped by the standardisation of wireless (wi-fi) data transmission. 3 Numerical modelling The proposed research focuses on the numerical modelling of different configurations of a piezoelectric bender and an attached fin (Figure 2). The ANSYS® numerical code is used for the analyses (ANSYS, 2011). In the analysis, different air-flow intensities are considered. Figure 2. Numerical model of the piezoelectric bender and the fin (left); deformed shape of bender and the fin under air flow excitation. A performance-based parametric analysis is conducted in order to assess the optimal values of some design and operating condition parameters, including length, width, thickness, constitutive material of the bender and velocity and turbulence intensity of the incoming airflow. The response parameters used for evaluating the performances include: - The bender max tip displacement; - The bender vibration frequency; - The rms of the voltage generated by the device. Considerations are made for the harvested energy potential and possible applications in structures, infrastructures and smart buildings. References Abdelkefi, A., Nayfeh, A.H., Hajj, M.R., 2012. Design of piezoaeroelastic energy harvesters. Nonlinear Dynamics 68 (4), 519-530. Adams, W.M. (2006). The Future of Sustainability: Re-thinking Environment and Development in the Twenty-first Century. Report of the IUCN Renowned Thinkers Meeting, 29-3. ANSYS (2011). ANSYS FLUENT Theory Guide. Release 14.0. ANSYS, Inc.
  • 4. Petrini et al Piezoelectric Energy Harvesting under Air Flow Excitation De Miranda, S., Garikipati, K., Molari, L. and Ubertini, F. (2009). A simple solution strategy for coupled piezo-diffusion in elastic solids. Computational Mechanics, 44, 191-203. Doaré, O., Michelin, S., 2011. Piezoelectric coupling in energy-harvesting fluttering flexible plates: linear stability analysis and conversion efficiency. Journal of Fluids and Structures 27 (8), 1357- 1375. Ehrenfeld, J.R. (2008). Sustainability by Design: A Subversive Strategy for Transforming Our Consumer Culture. Yale University Press. Erturk, A. and Inman, D.J. (2008). Issues in mathematical modeling of piezoelectric energy harvesters. Smart Materials and Structures, 17, 14pp. Gkoumas, K. (2012). Energy harvesting in bridges and transportation infrastructure networks: state of art, recent trends and future developments. IABMAS 2012 - The 6th International Conference on Bridge Maintenance, Safety and Management, July 8-12, Stresa, Lake Maggiore, Italy. Kwon, S.-D., Lee, H., Lee, S., Wind energy harvesting from flutter. In: Proceedings of the 13th International Conference on Wind Engineering (ICWE-13), Amsterdam, NL, July 10-15, 2011, paper No. 071 (CD-ROM). Park, G., Rosing, T., Todd, M.D., Farrar, C.R. and Hodgkiss, W. (2008). Energy Harvesting for Structural Health Monitoring Sensor Networks. ASCE Journal of Infrastructure Systems, 14(1), 64- 79. Priya, S., Inman, D.J., 2009. Energy harvesting technologies. Springer Science, New York, NY, USA. Rose, A. (2011). Resilience and sustainability in the face of disasters. Environmental Innovation and Societal Transitions, 1, 96-100. SEAOC. (1995). Vision 2000 - A Framework For Performance Based Design. Volumes I, II, III. Structural Engineers Association of California, Vision 2000 Committee. Spekkink, D. (2005). Performance based design: bringing Vitruvius up to date, PeBBu Domain 3 Report, Rotterdam, 52 pp. Spencer, B.F. Jr. and Cho., S. (2011). Wireless Smart Sensor Technology for Monitoring Civil Infrastructure: Technological Developments and Full-scale Applications. The 2011 World Congress on Advances in Structural Engineering and Mechanics (ASEM'11+), September 18-22, Seoul, Korea. Srinivasan, A.V. and McFarland., D.M. (2001). Smart Structures. Cambridge University Press. Tang, L., Païdoussis, M.P., Jiang, J., 2009. Cantilevered flexible plates in axial flow: Energy transfer and the concept of flutter-mill. Journal of Sound and Vibration 326 (1-2), 263-276 Weinstein, L.A., Cacan, M.R., So, P.M. and Wright, P.K. (2012). Vortex shedding induced energy harvesting from piezoelectric materials in heating, ventilation and air conditioning flows. Smart Materials and Structures, 21(4), 10pp.