Multi-channel Active Vibration Control Strategy for Series-parallel Hybrid Electric Vehicle Based on Notch FxLMS Algorithm

doi:10.12382/bgxb.2024.1157

Abstract

Abstract:

The series-parallel hybrid powertrain combines the characteristics of series and parallel hybrid configurations,and its engine and motor are connected through a power coupling mechanism.It can provide power to the wheels independently or jointly,resulting in excellent fuel economy.However,the mechanical connection between the engine and transmission system in series-parallel hybrid vehicle often leads to poor NVH (noise,vibration and harshness) performance.To address this issue,this paper proposes an active vibration control strategy.First,the configuration and various operating modes of series-parallel hybrid vehicle are introduced,a torsional dynamics model and an engine fluctuating torque model are established,and the relationship between system torsional vibration response frequency and engine speed is analyzed.Subsequently,an adaptive multi-channel active vibration control strategy based on the notch filtered-x least mean square (FxLMS) algorithm is proposed.The proposed strategy is to use the motors as actuators to achieve the compensation for the torsional vibration at target points by adaptively adjusting the weight matrix.In order to improve the control accuracy,the multiple secondary paths in the series-parallel system is identified offline using finite impulse response (FIR) filters.The simulated results demonstrate that the proposed active vibration control strategy shows excellent effectiveness and stability.The strategy is used to improve the ride comfort of vehicle,extend the service life of components,and enhance the NVH performance of the entire vehicle.

Key words: series-parallel hybrid electric vehicle, engine fluctuating torque, active vibration control, notch FxLMS algorithm

CLC Number:

TJ810.2

YAN Qi, LIU Hui, GAO Pu, YANG Dianzhao, JIAO Jiaxin. Multi-channel Active Vibration Control Strategy for Series-parallel Hybrid Electric Vehicle Based on Notch FxLMS Algorithm[J]. Acta Armamentarii, 2025, 46(11): 241157-.

Figures/Tables 20

Fig.1 The powertrain system of a series-parallel hybrid electric vehicle

Table 1 The operation modes of series-parallel hybrid electric vehicle

模式	发动机	电机A	电机B	CL0	CL1	BK
EVT1	开启	发电机	电机	○	×	○
EVT2	开启	电机	发电机	○	○	×
机械	开启	关闭	关闭	○	○	○
纯电	关闭	关闭	电机	×	×	○

Fig.2 Engine torque fluctuation and frequency-domain analysis

Fig.3 Time-frequency analysis of torsional vibration response of input shaft

Fig.4 MAVC framework for series-parallel hybridelectric vehicle

Fig.5 Schematic diagram of 4 secondary paths in MAVC

Fig.6 Secondary path adaptive identification method

Fig.7 Secondary path adaptive identification process

Fig.8 Comparison of step responses between the physical model and the identification model of the secondary path

Table 2 The dynamics parameters of series-parallel hybrid electric vehicle

参数	地面阻力系数 f	整车质量 m/kg	重力加速度g/ (m·s^-2)	空气阻力系数 C_D/ (kg·m^-3)	迎风面积A/m²	车轮滚动半径 R_z/m
数值	0.05	8 000	9.8	0.6	4.8	0.32

Fig.9 Comparison of vibration responses at a vehicle speed of 30km/h (EVT1 mode) with and without MAVC

Fig.10 Comparison of vibration responses at a vehicle speed of 45km/h (EVT2 mode) with and without MAVC

Fig.11 Target and actual vehicle speeds of a series-parallel hybrid electric vehicle under driving conditions

Fig.12 Comparison of input shaft torque responses under driving conditions

Fig.13 Comparison of output shaft torque responses under driving conditions

Fig.14 Frequency-domain analysis of input shaft and output shaft torque responses under driving conditions

Fig.15 Test bench for series-parallel HEV powertrain system

Fig.16 Time-domain analysis of output shaft torque with and without active control

Table 3 Comparison of RMS values of output shaft torque before and after active control

转速/ (r·min^-1)	控制前转矩均方差/(N·m)	控制后转矩均方差/(N·m)	消减比例/%	波动范围/%
1200	874	344	60.6	±3.8
1400	763	261	65.8	±4.4

Fig.17 Frequency-domain analysis of output shaft torque with and without active control

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