Research Papers

Constrained Design Optimization of Vibration Energy Harvesting Devices

[+] Author and Article Information
Mehdi Hendijanizadeh

Electro-Mechanical Engineering Research Group,
Engineering Science,
University of Southampton Highfield,
Southampton SO17 1BJ, UK
e-mail: M.Hendijanizadeh@soton.ac.uk

Mohamed Moshrefi-Torbati

Electro-Mechanical Engineering Research Group,
Engineering Science,
University of Southampton Highfield,
Southampton SO17 1BJ, UK
e-mail: M.M.Torbati@soton.ac.uk

Suleiman M. Sharkh

Electro-Mechanical Engineering Research Group,
Engineering Science,
University of Southampton Highfield,
Southampton SO17 1BJ, UK
e-mail: S.M.Abu-Sharkh@soton.ac.uk

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received June 12, 2012; final manuscript received September 28, 2013; published online November 20, 2013. Assoc. Editor: Brian P. Mann.

J. Vib. Acoust 136(2), 021001 (Nov 20, 2013) (6 pages) Paper No: VIB-12-1177; doi: 10.1115/1.4025877 History: Received June 12, 2012; Revised September 28, 2013

Existing design criteria for vibration energy harvesting systems provide guidance on the appropriate selection of the seismic mass and load resistance. To harvest maximum power in resonant devices, the mass needs to be as large as possible and the load resistance needs to be equal to the sum of the internal resistance of the generator and the mechanical damping equivalent resistance. However, it is shown in this paper that these rules produce suboptimum results for applications where there is a constraint on the relative displacement of the seismic mass, which is often the case. When the displacement is constrained, increasing the mass beyond a certain limit reduces the amount of harvested power. The optimum load resistance in this case is shown to be equal to the generator's internal resistance. These criteria are extended to those devices that harvest energy from a low-frequency vibration by utilizing an interface that transforms the input motion to higher frequencies. For such cases, the optimum load resistance and the corresponding transmission ratio are derived.

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Fig. 1

A schematic diagram of an energy harvesting system consisting of a sprung mass coupled to a generator through a ball screw

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Fig. 2

Free body diagram of an energy harvesting system

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Fig. 3

Equivalent circuit of a generator connected to a resistive load

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Fig. 4

Relative displacements for different values of mass and load resistance

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Fig. 5

Output electrical power for different values of mass and load resistance

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Fig. 6

Output electrical power versus load resistance for different values of mass with dots corresponding to a relative displacement of 0.3 m

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Fig. 7

Ball screw lead and corresponding load resistance to satisfy the constraint condition

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Fig. 8

Generated power versus ball screw lead, with load resistance adjusted to restrict the displacement to 0.3 m

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Fig. 9

Generated power versus load resistance with screw lead adjusted to restrict the relative displacement to 0.3 m




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