为使船舶Nomoto模型方程形象化,用电阻、电容和放大器搭建电路,经推导其传递函数与船舶Nomoto模型相同,通过适当选取电路元件参数,实现“育鲲轮”的电路机理等效模型。将融入旋回降速补偿后的电路仿真实验结果与实船回转试验结果进行比对,证明电路机理模型可以较高精度等效船舶Nomoto模型,对船舶运动半物理仿真具有重要指导意义。
In order to make the Nomoto model of ships visual, a circuit is built using resistances, capacitors and the amplifiers. The derived transfer function of circuit is the same as the Nomoto model of ships. An equivalent Nomoto model of Vessel Yukun by circuit is realized by appropriately choosing the parameters of circuit elements. The simulation results of circuit added speed loss compensation during turning, indicate that the model of circuit can be equivalent to the Nomoto model with satisfactory precision, comparing with the experimental results of real ship turning. And this has the important guiding significance to the semi-physical simulation of ship motion.
2016,38(9): 112-115 收稿日期:2016-2-2
DOI:10.3404/j.issn.1672-7619.2016.09.023
分类号:U661.73
基金项目:国家自然科学基金资助项目(51109020,51409033);中央高校基本科研业务费专项资金资助项目(3132014302)
作者简介:张显库(1968-),男,教授,主要从事船舶运动控制及鲁棒控制研究。
参考文献:
[1] 王贤惠, 纪致纹. 线性电工、电子及机械网络计算新法[M]. 大连: 大连海事大学出版社, 1997.WANG Xian-hui, JI Zhi-wen. A new method for calculating linear electrical, electronic and mechanical network[M]. Dalian: Dalian Maritime University Press, 1997.
[2] 张显库, 金一丞. 控制系统建模与数字仿真[M]. 2版. 大连: 大连海事大学出版社, 2013.ZHANG Xian-ku, JIN Yi-cheng. Modeling and digital simulation for control systems[M]. 2nd ed. Dalian: Dalian Maritime University Press, 2013.
[3] 张显库. 船舶运动简捷鲁棒控制[M]. 北京: 科学出版社, 2012.ZHANG Xian-ku. Concise robust control for ships[M]. Beijing: Science Press, 2012.
[4] ZHANG X K, ZHANG G Q, ZHANG S H, et al. Researches on the Williamson turn for very large carriers[J]. Naval Engineers Journal, 2013, 125(4): 129-137.
[5] ZHANG G Q, ZHANG X K. Concise robust adaptive path-following control of underactuated ships using DSC and MLP[J]. IEEE Journal of Oceanic Engineering, 2014, 39(4): 685-694.
[6] 赵越. 欠驱动船舶水面的非线性数学模型及跟踪控制[J]. 舰船科学技术, 2015, 37(5): 192-195.ZHAO Yue. Nonlinear methematical model and tracking control study for underactuated marine surface vessels[J]. Ship Science and Technology, 2015, 37(5): 192-195.
[7] 李晓君, 谢新连. 重大件运输的货物分配与航速联合优化[J]. 西南交通大学学报, 2015, 50(4): 747-754.LI Xiao-jun, XIE Xin-lian. Integrated optimization of cargo distribution and ship speed for heavy-cargo transportation[J]. Journal of Southwest Jiaotong University, 2015, 50(4): 747-754.
[8] 范爱龙, 严新平, 尹奇志, 等. 船舶主机能效模型[J]. 交通运输工程学报, 2015, 15(4): 69-76.FAN Ai-long, YAN Xin-ping, YIN Qi-zhi, et al. Energy efficiency model of marine main engine[J]. Journal of Traffic and Transportation Engineering, 2015, 15(4): 69-76.
[9] 赵志强, 闫亚胜, 黄连忠, 等. 船舶翼帆回转速度的非线性补偿控制[J]. 哈尔滨工程大学学报, 2015, 36(10): 1346-1350.ZHAO Zhi-qiang, YAN Ya-sheng, HUANG Lian-zhong, et al. Nonlinear compensation of ship wing-sail slewing speed[J]. Journal of Harbin Engineering University, 2015, 36(10): 1346-1350.
[10] 张显库. 基于Lyapunov稳定性的船舶航向保持非线性控制[J]. 西南交通大学学报, 2010, 45(1): 140-143.ZHANG Xian-ku. Nonlinear control for ship course-keeping based on Lyapunov stability[J]. Journal of Southwest Jiaotong University, 2010, 45(1): 140-143.
[11] 哼之月. 有关如何让用matlab制作放大器[EB/OL]. (2012-11-21). http://blog.sina.com.cn/s/blog_a19f963501012ysl.html. HENG Zhi-yue.(2012-11-21). http://blog.sina.com.cn/s/blog_a19f963501012ysl.html.