Ship parameter identification method based on improved wild horse optimizer

参数	数值
船舶质量$m/{\text{kg}}$	4.42×105
纵摇惯性力矩${{{I_5}} / {({\text{kg}} \cdot {{\text{m}}^2})}}$	9.945×107
船体吃水深度$h/{\text{m}}$	2.27
船体等效半径${r_r}/{\text{m}}$	30
船体等效截面积${s_s}/{{\text{m}}^2}$	16.2
船舶复原力系数${c_{33}}$	3.15×106
船舶复原力系数${c_{35}}$	6.83×106
船舶复原力矩系数${c_{53}}$	6.83×106
船舶复原力矩系数${c_{55}}$	6.54×108
有义波高${h_{1/3}}/{\text{m}}$	2.27
船舶航速$v/{\text{kn}}$	18

Table 2. Accuracy of ship longitudinal motion parameter identification under Sea State 4, 18 knots speed, and 90° wave encounter angle

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Table 2. Accuracy of ship longitudinal motion parameter identification under Sea State 4, 18 knots speed, and 90° wave encounter angle

参数	理论值	PSO		WHO		IWHO
参数	理论值	辨识值	相对误差/%	辨识值	相对误差/%	辨识值	相对误差/%
${a_{33}}$	8.045×105	9.446×105	17.42	8.098×105	0.65	8.050×105	0.06
${a_{35}}$	7.753×106	8.902×106	15.66	6.979×106	9.98	7.720×106	0.43
${a_{55}}$	2.595×108	2.830×108	9.05	2.336×108	9.88	2.592×108	0.12
$ {a_{53}} $	1.479×107	1.777×107	20.17	1.332×107	9.94	1.477×107	0.14
${b_{33}}$	9.369×105	7.901×105	15.66	8.496×105	9.32	9.363×105	0.06
${b_{35}}$	1.159×107	1.480×107	27.72	1.043×107	10.02	1.155×107	0.35
${b_{55}}$	2.885×108	4.077×108	41.31	2.637×108	8.60	2.874×108	0.38
${b_{53}}$	3.324×106	2.296×106	30.91	2.995×106	9.90	3.322×106	0.05

Table 3. Accuracy of ship longitudinal motion parameter identification under Sea State 4, 18 knots speed, and 135° wave encounter angle

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Table 3. Accuracy of ship longitudinal motion parameter identification under Sea State 4, 18 knots speed, and 135° wave encounter angle

参数	理论值	PSO		WHO		IWHO
参数	理论值	辨识值	相对误差/%	辨识值	相对误差/%	辨识值	相对误差/%
${a_{33}}$	6.311×105	5.569×105	11.70	6.157×105	2.44	6.304×105	0.11
${a_{35}}$	3.281×106	5.248×106	59.95	2.955×106	9.94	3.274×106	0.21
${a_{55}}$	1.525×108	1.541×108	1.01	1.373×108	9.97	1.524×108	0.07
$ {a_{53}} $	7.865×106	9.509×106	20.90	7.090×106	9.86	7.842×106	0.29
${b_{33}}$	8.033×105	7.635×105	4.96	7.394×105	7.96	8.028×105	0.06
${b_{35}}$	9.429×106	7.879×106	16.44	8.486×106	7.71	9.412×106	0.18
${b_{55}}$	2.091×108	2.716×108	29.88	1.882×108	10.01	2.087×108	0.19
${b_{53}}$	2.267×106	1.616×106	28.72	2.073×106	8.56	2.263×106	0.18

Table 4. Accuracy of ship longitudinal motion parameter identification under Sea State 4, 18 knots speed, and 180° wave encounter angle

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Table 4. Accuracy of ship longitudinal motion parameter identification under Sea State 4, 18 knots speed, and 180° wave encounter angle

参数	理论值	PSO		WHO		IWHO
参数	理论值	辨识值	相对误差/%	辨识值	相对误差/%	辨识值	相对误差/%
${a_{33}}$	6.101×105	5.815×105	4.69	6.102×105	0.02	6.107×105	0.09
${a_{35}}$	2.663×106	2.396×106	10.03	2.583×106	7.81	2.652×106	1.10
${a_{55}}$	1.377×108	1.348×108	2.14	1.368×108	0.65	1.373×108	0.29
$ {a_{53}} $	6.611×106	6.594×106	0.25	6.093×106	7.84	6.610×106	0.02
${b_{33}}$	7.400×105	7.782×105	5.16	7.058×105	4.62	7.409×105	0.12
${b_{35}}$	8.951×106	8.835×106	1.30	8.216×106	8.21	8.960×106	0.10
${b_{55}}$	1.873×108	1.944×108	3.79	1.825×108	2.56	1.879×108	0.32
${b_{53}}$	2.356×106	3.123×106	32.57	2.167×106	8.02	2.360×106	0.17

Table 5. Average running time of three algorithms under different wave encounter angles
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Table 5. Average running time of three algorithms under different wave encounter angles
海浪遭遇角/（°）平均运行时间/s
PSO WHO IWHO
90 7.903 0.935 1.122
135 7.661 0.928 1.194
180 7.681 0.972 1.180

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Zhigang QI, Hao ZHANG, Bing LI, Zhe LU. Ship parameter identification method based on improved wild horse optimizer[J]. Chinese Journal of Ship Research, 2025, 20(1): 85

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Paper Information

Category: Maneuverability Forecast

Received: Mar. 11, 2024

Accepted: --

Published Online: Mar. 13, 2025

The Author Email:

DOI:10.19693/j.issn.1673-3185.03818

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Ship parameters

Table 1. Ship parameters

Table 2. Accuracy of ship longitudinal motion parameter identification under Sea State 4, 18 knots speed, and 90° wave encounter angle

Table 2. Accuracy of ship longitudinal motion parameter identification under Sea State 4, 18 knots speed, and 90° wave encounter angle

Table 3. Accuracy of ship longitudinal motion parameter identification under Sea State 4, 18 knots speed, and 135° wave encounter angle

Table 3. Accuracy of ship longitudinal motion parameter identification under Sea State 4, 18 knots speed, and 135° wave encounter angle

Table 4. Accuracy of ship longitudinal motion parameter identification under Sea State 4, 18 knots speed, and 180° wave encounter angle

Table 4. Accuracy of ship longitudinal motion parameter identification under Sea State 4, 18 knots speed, and 180° wave encounter angle

Table 5. Average running time of three algorithms under different wave encounter angles

Table 5. Average running time of three algorithms under different wave encounter angles

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