面向最小EEOI的船舶航速矩不确定分布鲁棒优化

Navigation Speed Optimization for Minimum EEOI with Distributional Robust Optimization under Moment Uncertainty

船舶能效营运指数(Energy Effciency Operational Index,EEOI)与航速、水道环境等因素密切相关,寻找最优主机转速来实现航速优化是降低EEOI的重要方式。引入矩不确定鲁棒优化(Distributional Robust Optimization under Moment,DRO-MU)理论,并建立模型,计算上、下水工况,考虑多航段内水流速度的不确定性分布,以各航段的主机转速作为设计变量,航程时间与航速限阈作为约束条件,通过以追求最小EEOI为目标的优化模型,得到鲁棒性较高的分段航速优化方案,计算结果表明:该方法能在约束范围内有效改善船舶的EEOI能效特性,且能更好地反映真实情况,更具合理性与优越性。

EEOI(Energy Effciency Operation Index)for a ship is closely related to the navigation speed and waterway environment.Controlling main engine revolution speed to optimize navigation speed is an important way of achieving lower EEOI.The distributional robust optimization under moment uncertainty DRO-MU(Distributional Robust Optimization Under Moment)is introduced for handling the uncertainty of the distribution of water velocity.Since the water condition is variable in a voyage,the optimization is conducted in segments.The EEOI optimization model is constructed with main engine rpm as the design variable.The optimization model is solved for minimum EEOI under the constraints of the sailing time for a segment of a voyage and the speed limit of the ship,so as to produce an optimum speed control scheme.The results show that,under the limited conditions,the method is a proper and effective way in improving the energy efficiency of ships.