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Optimal Control of Vibration-Based Micro-energy Harvesters

Author

Listed:
  • Thuy T. T. Le

    (Otto-von-Guericke University)

  • Felix Jost

    (Otto-von-Guericke University)

  • Sebastian Sager

    (Otto-von-Guericke University)

Abstract

We analyze the maximal output power that can be obtained from a vibration energy harvester. While recent work focused on the use of mechanical nonlinearities and on determining the optimal resistive load at steady-state operation of the transducers to increase extractable power, we propose an optimal control approach. We consider the open-circuit stiffness and the electrical time constant as control functions of linear two-port harvesters. We provide an analysis of optimal controls by means of Pontryagin’s maximum principle. By making use of geometric methods from optimal control theory, we are able to prove the bang–bang property of optimal controls. Numerical results illustrate our theoretical analysis and show potential for more than 200% improvement of harvested power compared to that of fixed controls.

Suggested Citation

  • Thuy T. T. Le & Felix Jost & Sebastian Sager, 2018. "Optimal Control of Vibration-Based Micro-energy Harvesters," Journal of Optimization Theory and Applications, Springer, vol. 179(3), pages 1025-1042, December.
    • Handle: RePEc:spr:joptap:v:179:y:2018:i:3:d:10.1007_s10957-018-1250-4
    DOI: 10.1007/s10957-018-1250-4
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    Cited by:

    1. Lamorlette, A., 2023. "A coupled model of global energy production and ERoEI applied to photovoltaic and wind, an estimation of net production," Energy, Elsevier, vol. 278(PB).

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