This article presents a detailed approach to the analysis of a two-degree-of-freedom electromagnetic kinetic energy harvester. These systems use multiple disconnected masses that can impact each other and the harvester housing. This causes complex dynamics in the system as significant momentum is transferred between the masses and, ultimately, results in strongly nonlinear behaviour. One particular nonlinear phenomenon of interest, which has not been previously characterised, is anti-resonance. Observing this phenomenon is important as it highlights efficient energy transfer between the masses, and maximising its effect can be used to enhance the harvesters’ overall performance. A range of mathematical techniques are used to better explain the concept of anti-resonance and how it can be used to improve the understanding of the system dynamics. In addition, the widely used model for electromagnetic transduction is amended to give a more precise representation of the transducer force for this embodiment of the kinetic energy harvester. This unique analysis yields a rich modelling approach that can be used to inform future kinetic energy harvester designs by identifying and optimising key design parameters. Comparisons are made with experimental measurements of a two-mass electromagnetic kinetic energy harvester, validating the modelling approach.
AnderssonSSöderbergABjörklundS (2007) Frictions models for sliding dry, boundary and mixed lubricated contacts. Tribology International40: 580–587.
2.
BassetPBlokhinaEGalaykoD (2016) Electrostatic Kinetic Energy Harvesting. Hoboken, NJ: John Wiley & Sons.
3.
BeebySTorahRTudorMet al. (2007) A micro electromagnetic generator for vibration energy harvesting. Journal of Micromechanics and Microengineering17: 1257–1265.
4.
BeebySPO’DonnellT (2009) Energy Harvesting Technologies. Boston, MA: Springer.
5.
BeebySPTudorMJWhiteNM (2009) Energy harvesting vibration sources for microsystems applications. Measurement Science and Technology17: R175–R195.
6.
BelbasiSFoulaadvandMEJoeYS (2014) Anti-resonance in a one-dimensional chain of driven coupled oscillators. American Journal of Physics82(1): 32–38.
7.
BlystadLCJHalvorsenE (2011) A piezoelectric energy harvester with a mechanical end stop on one side. Microsystem Technologies17(4): 505–511.
8.
BocoENicoVO’DonoghueDet al. (2015) Optimization of coil parameters for a nonlinear two degree-of-freedom (2DOF) velocity-amplified electromagnetic vibrational energy harvester. In: International conference on smart cities and green ICT systems (SMARTGREENS), Lisbon, 20–22 May, pp. 1–10. New York: IEEE.
9.
CepnikCRadlerORosenbaumSet al. (2011) Effective optimization of electromagnetic energy harvesters through direct computation of the electromagnetic coupling. Sensors and Actuators A: Physical167(2): 416–421.
10.
ChengSWangNArnoldDP (2007) Modeling of magnetic vibrational energy harvesters using equivalent circuit representations. Journal of Micromechanics and Microengineering17(11): 2328.
11.
CottoneFFrizzellRGoyalSet al. (2014) Enhanced vibrational energy harvester based on velocity amplification. Journal of Intelligent Material Systems and Structures25(4): 443–451.
12.
CottoneFVoccaHGammaitoniL (2009) Nonlinear energy harvesting. Physical Review Letters102(8): 080601.
13.
ErturkAInmanDJ (2011) Piezoelectric Energy Harvesting. Hoboken, NJ: John Wiley & Sons.
14.
FoisalARMHongCChungGS (2012) Multi-frequency electromagnetic energy harvester using a magnetic spring cantilever. Sensors and Actuators A: Physical182: 106–113.
15.
FuBBlokhinaEO’ConnellDet al. (2014) A wideband 2-DOF resonator for electromagnetic energy harvesting systems. In: 21st IEEE international conference on electronics, circuits and systems (ICECS), Marseille, 7–10 December, pp. 878–881. New York: IEEE.
16.
HalvorsenE (2008) Energy harvesters driven by broadband random vibrations. Journal of Microelectromechanical Systems17(5): 1061–1071.
17.
HarneRLWangKW (2013) A review of the recent research on vibration energy harvesting via bistable systems. Smart Materials and Structures22(2): 023001.
18.
HilbornR (2000) Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers. Oxford: Oxford University Press.
19.
Joon KimKCottoneFGoyalSet al. (2010) Energy scavenging for energy efficiency in networks and applications. Bell Labs Technical Journal15(2): 7–29.
20.
LeCPHalvorsenESorasenOet al. (2012) Microscale electrostatic energy harvester using internal impacts. Journal of Intelligent Material Systems and Structures23: 1409–1421.
21.
LiuWBadelAFormosaFet al. (2013) Novel piezoelectric bistable oscillator architecture for wideband vibration energy harvesting. Smart Materials and Structures22(3): 035013.
22.
MeningerSMur-MirandaJAmirtharajahRet al. (2001) Vibration-to-electric energy conversion. IEEE Transactions on Very Large Scale Integration (VLSI) Systems9(1): 64–76.
23.
MitchesonPGreenTYeatmanEet al. (2004) Architectures for vibration-driven micropower generators. Journal of Microelectromechanical Systems13(3): 429–440.
24.
MitchesonPYeatmanERaoGet al. (2008) Energy harvesting from human and machine motion for wireless electronic devices. IEEE Proceedings96(9): 1457–1486.
25.
MizunoMChetwyndDG (2003) Investigation of a resonance microgenerator. Journal of Micromechanics and Microengineering13(2): 209–216.
O’DonoghueDFrizzellRPunchJ (2015) The influence of mass configurations on bandwidth in velocity amplified vibrational energy harvesters In: ASME 2015 conference on smart materials, adaptive structures and intelligent systems, San Antonio, TX, 10–12 September.
28.
OliverJMPriyaS (2009) Design, fabrication and modeling of a four-bar electromagnetic vibration power generator. Journal of Intelligent Material Systems and Structures21: 1303–1316.
29.
PodderPAmannARoyS (2016) Combined effect of bistability and mechanical impact on the performance of a nonlinear electromagnetic vibration energy harvester. IEEE/ASME Transactions on Mechatronics21(2): 727–739.
30.
PomeauYMannevilleP (1980) Intermittent transition to turbulence in dissipative dynamical systems. Communications in Mathematical Physics74(2): 189–197.
31.
PriyaSInmanDJ (2008) Energy Harvesting Technologies. 1st ed. London: Springer.
32.
RoundySWrightPKRabaeyJ (2003) A study of low level vibrations as a power source for wireless sensor nodes. Computer Communications26(11): 1131–1144.
33.
SahaCO’DonnellTWangNet al. (2008) Electromagnetic generator for harvesting energy from human motion. Sensors and Actuators A: Physical147(1): 248–253.
34.
TangLYangY (2012) A multiple-degree-of-freedom piezoelectric energy harvesting model. Journal of Intelligent Material Systems and Structures23: 1631–1647.
35.
WilliamsCBYatesRB (1995) Analysis of a micro-electric generator for microsystems. In: The 8th international conference on solid-state sensors and actuators (Eurosensors IX/Transducers ’95), Stockholm, 25–29 June, pp. 369–372. New York: IEEE.
36.
YangBLeeCXiangWet al. (2009) Electromagnetic energy harvesting from vibrations of multiple frequencies. Journal of Micromechanics and Microengineering19(3): 035001.
