A Multi-objective Optimization Model for Determining the Performance of a Sailboat

Abstract

The current research is focused on determining the optimum true wind angle (TWA or β TW ). A model is developed to calculate the wind angle at which a sailboat's optimum performance can be achieved. First, the equations for the hull speed, velocity made good (VMG), and the heel angle are determined through the regression analysis by using the data produced by the velocity prediction program analysis. The equations are written for true wind velocities ( V TW ), with the independent variable being TWA. Later, a multiobjective optimization model is developed, and the wind angles providing the maximum benefit at the respective wind velocities are determined. The goal of the model is to maximize the hull speed and VMG while minimizing the heel angle. The simulated annealing algorithm is employed. Consequently, TWAs providing the optimum performance of a specific sailboat at various wind velocities are calculated.

Keywords

• sailboat
• vpp
• performance determination
• optimization
• simulated annealing