一维水道中潮流能可提取率的理论推导

Theoretical derivation of the extractable rate of tidal current energy in one-dimensional flow channel

针对一维两端开放的潮流通道模型,在动力学基础上,运用流体的动量定理、质量守恒规律和能量守恒原理,推导得到通道内潮流能可提取量的计算公式以及最大可提取率的数学表达式。从推导结果可以看出,理论最大可提取率与水道海底摩阻系数、水深、水道长度、宽度等因素密切相关。此外,选取杭州湾海域建立数值模型进行实例计算,利用推导的理论公式求出不同水道的最大可提取率,最终求得海域内主要水道潮流能可提取量。

A theoretical formula for estimating the extractable power of tidal currents in tidal channels is derived with a formation of maximum extractable coefficient presented.This derivation is based on the conservation of mass,conservation of momentum and conservation of energy in one dimensional inlet and outlet tidal channel model.The theoretical result shows that the maximum extractable coefficient is related with the fraction of channel bottom,the depth of the channel,the length of the channel and the width of the channel.This formula is further applied to estimate the power potential in the Hangzhou Bay based on the numerical results of the Hangzhou Bay.