Protracted episodes of 0.5–7 Hz pre-eruptive volcanic tremor (PVT) are common at active stratovolcanoes. Reliable links to processes related to magma movement consequently enable a potential to use properties of PVT as diagnostic eruptive precursors. A challenging feature of PVT is that generic spectral and amplitude properties of the signal evolve similarly, independent of widely varying volcano structures and conduit geometries on which most physical models rely. The ‘magma wagging’ model introduced in Jellinek & Bercovici (2011) and extended by Bercovici et al. (2013), Liao et al. and Liao & Bercovici (2018) makes progress because it depends on magma dynamics that are only weakly sensitive to volcano architecture: The flow of gas through a permeable foamy annulus of gas bubbles excites, modulates and maintains a wagging oscillation of a central magma column rising in an erupting conduit. ‘Magma wagging’ and resulting PVT are driven through an energy transfer from a ‘Bernoulli mode’ related to azimuthal variations in annular gas flow speeds. Consistent with observations, spectral and amplitude properties of PVT are predicted to evolve before an eruption as the width of the annulus decreases with increased gas fluxes. To confirm this critical Bernoulli-to-wagging energy transfer we use extensive experiments and restricted numericalmore »
Time-Varying Linear Quadratic Gaussian Optimal Control for Three-Degree-of-Freedom Wave Energy Converters
The model of a three-degree-of-freedom Wave Energy
Converter can be simplified as a linear time-varying system.
In this model, the heave mode parametrically excites the pitch
mode, which in turn excites the surge mode. The heave mode,
however, is independent to the other two modes when the motion
is small. The purpose of this paper is to design a controller to
maximize the energy harvested over a receding time horizon.
We also want to demonstrate that, with proper design of the
control, it is possible to exploit this nonlinear coupling between
the modes so as to harvest more energy. The controller selected is
the linear quadratic Gaussian optimal control. The prediction of
excitation forces is constructed based on the estimation where the
estimations are obtained by using extended Kalman Filter. The
prediction of excitation force is fed into the controller to compute
the time-varying linear quadratic optimal control. Constraints on
the WEC motion are accounted for in computing the control. The
results show that the energy captured by three-degree-of-freedom
Wave Energy Converter is 3:56 times the energy extracted in
heave mode only. Higher energy harvesting is demonstrated when
the linear time-varying model is used in control design.
- Award ID(s):
- 1635362
- Publication Date:
- NSF-PAR ID:
- 10059763
- Journal Name:
- European Wave and Tidal Energy Conference 2017
- Sponsoring Org:
- National Science Foundation
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