Ship parameter identification method based on improved wild horse optimizer

Zhigang QI; Hao ZHANG; Bing LI; Zhe LU

doi:10.19693/j.issn.1673-3185.03818

Journals >Chinese Journal of Ship Research >Volume 20 >Issue 1 >Page 85 > Article

Chinese Journal of Ship Research
Vol. 20, Issue 1, 85 (2025)

Ship parameter identification method based on improved wild horse optimizer

Zhigang QI, Hao ZHANG, Bing LI, and Zhe LU

Author Affiliations

College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin 150001, China

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DOI: 10.19693/j.issn.1673-3185.03818 Cite this Article

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 Copy Citation Text

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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 1. Ship parameters

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

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

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

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海浪遭遇角/（°）	平均运行时间/s
海浪遭遇角/（°）	PSO	WHO	IWHO
90	7.903	0.935	1.122
135	7.661	0.928	1.194
180	7.681	0.972	1.180

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

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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