一种基于状态空间模型的浮式海上升压站平台动力响应计算方法研究

浮式海上升压站的动力响应分析是其设计阶段的重要内容,对浮式升压站进行结构优化进而改进其水动力性能意义重大。提出一种基于状态空间模型的浮式海上升压站平台动力响应算法,该方法通过频域拟合的方法计算延迟函数频响函数有理分式的系数,得到延迟函数的极值和留数,进而构建延迟函数的状态空间模型,通过状态空间模型代替Cummins方程中的卷积项,从而计算浮式海上升压站的动力响应。采用日本福岛示范项目的浮式升压站模型对方法进行验证,结果表明计算得到的动力响应与商业软件SESAM计算结果吻合较好,说明方法的有效性。

Research on dynamic response calculation method of floating offshore substation platform based on state space model

Dynamic response analysis of floating offshore substation is an important part of its design stage, which is of great significance to the structural optimization and hydrodynamic performance improvement of floating offshore substation. In this research, a dynamic response algorithm of floating offshore substation based on state-space model is proposed. The coefficient of rational fraction of frequency response function of delay function is calculated by means of pass-frequency domain fitting method, the pole and residue of delay function are obtained, and then the state-space model of delay function is constructed. The convolution term of Cummins equation is replaced by state-space model, thus the dynamic response of floating offshore substation can be calculated. A floating offshore substation model of Fukushima demonstration project in Japan is used to verify the method in this paper. The results show that the dynamic response calculated in this paper is in good agreement with the calculation results of commercial software SESAM, which indicates the effectiveness of this method.