A Geometrical Interpretation of Force and PositionConstraints in the Optimal Control of Wave EnergyDevices

A Geometrical Interpretation of Force and PositionConstraints in the Optimal Control of Wave EnergyDevices
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波浪能装置优化控制中力和位置约束的几何解释

DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
J. Ringwood
J. Ringwood
中科院分区：
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文献类型：
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作者：
G. Bacelli;J. Ringwood

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需要考虑物理限制 振荡体波浪能控制系统的设计 转换器（WEC）。如果是液压取力器 （PTO）单位，这样的约束包括行程的长度 液压活塞或允许的最大压力 液压回路。在本文中，考虑了两种类型的 WEC： 升沉振荡的 1 体点减震器和 2 体点减震器 减振器也在升沉中振荡。分析程序 提出了约束条件。它提供了充分的条件 满足两个约束和/或至少违反 一个约束。该过程基于离散化 通过近似力来计算 WEC 的运动方程 以及具有基函数线性组合的速度。 提出了一种特殊情况，其中截断傅里叶级数是 用于近似。结果表明，约束条件可以 被解释为有限维度的几何对象 向量空间，并研究充分条件 满足两个约束条件和充分条件 违反至少一个约束可以被视为研究 这些几何对象之间的交集。这也是 表明该方法可以研究约束的影响 关于产生的能量的量。
Physical constraints need to be considered in the design of control systems for an oscillating body Wave Energy Converter (WEC). In the case of a hydraulic Power Take Off (PTO) unit, such constraints include the length of the stroke of a hydraulic piston or the maximum pressure permitted in the hydraulic circuit. In the paper, two types of WEC are considered: A 1-body point absorber oscillating in heave and a 2-body point absorber also oscillating in heave. A procedure for the analysis of the constraints is presented. It provides sufficient conditions for the satisfaction of both constraints and/or the violation of at least one constraint. The procedure is based on the discretization of the equations of motion of the WECs by approximating the forces and the velocities with a linear combination of basis functions. A special case is presented in which truncated Fourier series are used for the approximation. It is shown that the constraints can be interpreted as a geometrical object in a finite dimensional vector space, and that the study of sufficient conditions for the satisfaction of both constraints and for sufficient conditions for the violation of at least one constraint can be seen as the study of the intersection between these geometrical objects. It is also shown that the method allows the study of the effect of constraints on the amount of produced energy.