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A solution by operational calculus to the problem of the optimization of tidal power
Alderson, S.G. (1992). A solution by operational calculus to the problem of the optimization of tidal power. IMA Journal of Applied Mathematics 49(2): 123-138
In: IMA Journal of Applied Mathematics. Oxford University Press: London; New York. ISSN 0272-4960, more
Peer reviewed article  

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  • Alderson, S.G.

Abstract
    The linear response of a rectangular tidal basin is derived using Laplace transforms. The exact solution to the problem of a basin forced from its mouth is then determined in order to model tidal power generation schemes. For operation at fixed flow through the barrier, the solution confirms Robinson's (1980) criterion for the optimum duration of flow in each half-period without pumping. Any barrier flow regime can be approximated as a summation of short square pulses. The total energy generated can be optimized by integration over a tidal cycle. The method provides a useful first-order investigative tool for proposed operating regimes. It has the advantage over more complex models of allowing a wide range of parameters to be easily and cheaply varied.

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