Vibration Control of Semi-Submersible Offshore Wind Turbines Using Inerter-Based Absorbers

doi:10.16183/j.cnki.jsjtu.2023.019

Abstract

Abstract:

Compared with fixed offshore wind turbines, the vibration problem of floating offshore wind turbines is particularly prominent, and further reduction of the vibration of floating offshore wind turbines has become an engineering challenge. In order to solve this problem, a novel vibration suppression device, inerter-based absorber (IBA) is introduced, and the vibration control of semi-submersible offshore wind turbines is studied. A comprehensive optimization method, namely the structure-immittance approach, is utilized to design the IBA in a systematic way. In order to search for the optimum vibration suppression performance, a simplified dynamic model of the semi-submersible offshore wind turbine, and the IBA dynamic equations are established using D’Alembert’s principle. Simultaneous suppression of the vibration response of the floating platform and tower of a semi-submersible offshore wind turbine is realized using the dual IBA control strategy. Furthermore, by implementing the optimum IBA in the OpenFAST software, the vibration suppression benefits of the dual IBA compared with the dual tuned mass damper (TMD) are verified under the coupling effects of wind and waves. The results show that the vibration control performance of the dual IBA control strategy is significantly better than that of the single one, and that of the dual IBA is better than that of the dual TMD. In addition, under the condition of achieving the same suppression performance as the TMD, IBA installed at the nacelle and the platform can respectively decrease the required absorber mass by 23.9% and 32.2%, which can greatly reduce the manufacture cost of the device.

Key words: floating wind turbines, inerter, tuned mass dampers (TMD), vibration control

CLC Number:

O328

ZENG Weijie, ZHANG Ying, DENG Yanfei, GUO Chuanrui, REN Weixin. Vibration Control of Semi-Submersible Offshore Wind Turbines Using Inerter-Based Absorbers[J]. Journal of Shanghai Jiao Tong University, 2024, 58(7): 983-994.

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参数	取值
功率/MW	5
风轮,轮毂直径/m	126, 3
切入、额定、切出风速/(m·s^-1)	3, 11.4, 25
机舱尺寸/(m×m×m)	18× 6 × 6
风轮质量/kg	110 000
机舱质量/kg	240 000
风塔质量/kg	347 460
风塔惯性矩/(kg·m²)	2.721 8×10⁹
塔基(浮台顶部)标高/m	10
风力机塔顶标高/m	87.6
浮台吃水深度/m	20
平台质量(包括压载物)/kg	1.347 3×10⁷
浮台质心位置(基于海平面)/m	-13.46

类别	d_P/[N·(m· s^-1)^-1]	d_T/[N·(m· s^-1)^-1]	k_P/(N· m^-1)	k_T/(N·m^-1)	I_P/(kg·m²)
初始值	6.5×10⁸	2.0×10⁸	0.0	1.4×10¹⁰	3.0×10⁹
估计值	9.5×10⁸	1.2×10⁸	1.0	1.9×10¹⁰	4.2×10⁹

类别	简化模型频率/Hz	OpenFAST模型频率/Hz
纵摇	0.039	0.040
塔筒前后变形	0.422	0.420

类别	m/t	k/ (kN·m^-1)	c/[(kN· (m·s^-1)^-1]	J₁		J₁提升比例/%	J₂		J₂提升比例/%
类别	m/t	k/ (kN·m^-1)	c/[(kN· (m·s^-1)^-1]	无TMD	有TMD	J₁提升比例/%	无TMD	有TMD	J₂提升比例/%
NTMD	20	135 116	10 578	0.470	0.191	59.6	8.730	8.775	-0.5
	20	1 150	1 074	0.470	0.455	3.20	8.730	3.919	55.1
PTMD	200	1 434 100	8 899	0.470	0.411	12.8	8.730	8.656	0.8
	200	12 100	17 900	0.470	0.465	1.10	8.730	2.772	68.0
2TMD	20	139 200	13 700	0.470	0.187	60.2	8.730	2.702	69.1
	200	11 200	18 300

类别		m/t	k/ (kN·m^-1)	k₁/ (kN·m^-1)	k₂/ (kN·m^-1)	c/[(kN· (m·s^-1)^-1]	b/kg	J₁	J₂
2TMD	NTMD	20	139.2	—	—	13.7	—	0.187	2.702
	PTMD	200	11.2	—	—	18.3	—
2IBA	NIBA	20	—	13.7	142.3	1.68	1 602.5	0.179	2.560
	PIBA	200	—	7.9	8.5	30.4	3 471.4