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Energy optimization for the fin stabilizer system based on a genetic algorithm
YU Lijun, LIU Shaoying, WANG Hui, XIONG Chaodong
College of Automation,Harbin Engineering University,Harbin 150001,China
Abstract: Energy optimization is one of the key problems for ship roll reduction systems. In this paper,the roll angle variance,fin angle variance and the load energy are analyzed to establish the performance index of the fin stabilizer system. The genetic algorithm based multi-objective function optimization method is proposed. Compared with the traditional PID control,the simulation results show that the genetic algorithm based multi-objective function optimization method can effectively reduce the energy loss of roll reduction devices. Both the control effect and the economic efficiency are improved. The proposed method provides a theoretical basis for optimizing the energy consumption of roll reduction devices.
Key words: fin-stabilizer     roll angle variance     fin angle variance     genetic algorithm     multi-objective function     energy optimization

1 减摇鳍控制系统组成

 图 1 减摇鳍控制系统框图 Fig. 1 The fin stabilizer system block diagram

NJ5减摇鳍模型中前置放大器传递函数为

 (1)

Kα由很多因素决定，为研究方便常常将其近似为常量。对NJ5减摇鳍模型，当最大鳍角ψmax取22°时，鳍角到波倾角的转换系数为Kα=0.256，船舶横摇运动传递函数为

2 减摇鳍系统性能指标的建立 2.1 船舶横摇角方差分析及计算

2.2 减摇鳍鳍角方差的计算

 (2)

2.3 减摇鳍负载能量消耗的估算

 (3)

 (4)

3 遗传算法对多目标函数的优化

 (5)

 (6)

 (7)

 (8)

 图 2 遗传算法优化控制器原理图 Fig. 2 The system scheme with optimal PID control
4 系统仿真分析

 图 3 无减摇装置横摇角 Fig. 3 Roll angle without roll reduction control
 图 4 传统PID控制下横摇角 Fig. 4 Roll angle with traditional PID control

 航速Kn/遭遇角(°) 传统PID控制 遗传算法优化控制 横摇角度/(°) 鳍角速率/(°) ·s-1 减摇效率/% 横摇角度/(°) 鳍角速率/(°) ·s-1 减摇效率/% 18/45 0.49 5.3 75.23 0.47 4.1 76.35 18/90 0.38 5.07 76.24 0.39 3.8 75.92 18/135 0.36 4.7 77.33 0.35 3.2 79.58 22/45 0.35 3.2 78.26 0.33 2.9 80.38 22/90 0.32 2.4 79.13 0.31 2.5 82.96 22/135 0.28 2.6 80.39 0.25 2.2 84.43

 图 5 遗传算法优化PID横摇角 Fig. 5 Roll angle with optimal PID control by GA
 图 6 传统PID控制下鳍角速率 Fig. 6 Fin angular rate with traditional PID control
 图 7 遗传算法优化PID鳍角速率 Fig. 7 Fin angular rate with optimal PID control by GA
5 结束语

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DOI: 10.3969/j.issn.1673-4785.201307003

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#### 文章信息

YU Lijun, LIU Shaoying, WANG Hui, XIONG Chaodong

Energy optimization for the fin stabilizer system based on a genetic algorithm

CAAI Transactions on Intelligent Systems, 2014, 9(4): 432-437
http://dx.doi.org/10.3969/j.issn.1673-4785.201307003