Research on bifurcation and control of electromechanical coupling torsional vibration for wheel-side direct-driven transmission system

2020 ◽  
Vol 235 (1) ◽  
pp. 93-104
Author(s):  
Jinyong Ju ◽  
Wei Li ◽  
Yufei Liu ◽  
Chunrui Zhang
Keyword(s):  
Torsional Vibration ◽  
Electromechanical Coupling ◽  
Linear Part ◽  
Transmission System ◽  
System Stability ◽  
Control Voltage ◽  
Nonlinear Feedback ◽  
Nonlinear Part ◽  
Wheel Side ◽  
And Control

Aiming to the torsional vibration destabilization phenomenon of the wheel-side transmission system direct-driven by the high-power motor, the system torsional vibration bifurcation characteristics and control strategy are analyzed. Through defining the system electromechanical coupling relationship between the electrical link and the mechanical link, the dynamic model of the wheel-side direct-driven transmission system is constructed. Then, based on the Routh–Hurwitz stability criterion, the system Hopf bifurcation characteristics caused by the change of the wheel-ground friction during driving are revealed. Furthermore, with the nonlinear feedback controller and the Washout filter combined, the system torsional vibration stabilization controller is constructed by introducing the system torsional vibration signals into the motor control voltage. The results show that the linear part of the torsional vibration stabilization controller can effectively change the system stability region, as well as the cubic nonlinear part of the torsional vibration stabilization controller can control the stability of the system bifurcation points and suppress the limit cycle amplitude. The research results can provide theoretical basis and technical support for the performance improvement and integrated application of the wheel-side direct-driven transmission system in the electric bus.

Integrated Design of Airborne Radar Servo System Based on MATLAB/SIMULINK

2011 ◽  
Vol 204-210 ◽  
pp. 17-20
Author(s):  
Ding Zhen Li ◽  
Rui Min Jin
Keyword(s):  
Optimization Model ◽  
Electromechanical Coupling ◽  
Integrated Design ◽  
Control Design ◽  
Servo System ◽  
Coupling Model ◽  
Transmission System ◽  
Airborne Radar ◽  
Matlab Simulink ◽  
And Control

This thesis is according to the pitching part of airborne radar servo system. The electromechanical coupling model and optimization model which includes structure parameters and control parameters are built up based on model of mechanism transmission system and electricity control system. The dynamics model of mechanism transmission system includes the nonlinearity of backlash and is considered the influence of parameters for dynamics properties in structure of the mechanism transmission system. The method of integrated structure and control design is applied on the optimization model using GA. Simulation is done based on MATLAB/SIMULINK. Simulation results show that the method of integrated structure and control design is feasible and effective in servo system.

scholarly journals Nonlinear Torsional Vibration Analysis and Control of Semidirect Electromechanical Coupling Transmission System in Shearer

2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
Song Jiang ◽  
Wei Li ◽  
Lianchao Sheng ◽  
Jiajun Chen ◽  
Min Li
Keyword(s):  
Hopf Bifurcation ◽  
Torsional Vibration ◽  
Electromechanical Coupling ◽  
High Reliability ◽  
Permanent Magnet Synchronous Motor ◽  
Nonlinear Damping ◽  
Transmission System ◽  
Concentrated Mass ◽  
Mass Model ◽  
Hurwitz Stability

The nonlinear torsional vibration and instability oscillation caused by nonlinear damping in the shearer electromechanical coupling cutting transmission system in shearer driven by the permanent magnet synchronous motor (PMSM) is investigated in this paper. The electromechanical coupling transmission system in the shearer is equivalent to a concentrated mass model for the purpose of establishing the system dynamic model by the Lagrange–Maxwell equation. Then, the Routh–Hurwitz criterion is used to determine the torsional vibration critical point and stability region for the Hopf bifurcation for the cutting transmission system. According to the Routh–Hurwitz stability criterion, the Hopf bifurcation type and the effect of the supercritical Hopf bifurcation in the torsional vibration of the cutting transmission system are analyzed. Furthermore, based on the washout filter, the Hopf bifurcation controller is designed for suppressing the transmission system’s large vibration amplitude and unstable oscillation. In addition, the influences of the linear gain and nonlinear gain on the bifurcation point and the limit cycle amplitude are discussed. Finally, the numerical simulation results indicate the effectiveness of the designed controller. The research achievements can provide a theoretical basis for design or optimize the cutting transmission system of high-reliability shearer driven by PMSM.

scholarly journals Nonlinear Torsional Vibration Analysis and Nonlinear Feedback Control of Complex Permanent Magnet Semidirect Drive Cutting System in Coal Cutters

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-14
Author(s):  
Lianchao Sheng ◽  
Wei Li ◽  
Gaifang Xin ◽  
Yuqiao Wang ◽  
Mengbao Fan ◽  
...  
Keyword(s):  
Hopf Bifurcation ◽  
Permanent Magnet ◽  
Torsional Vibration ◽  
Multiple Scales ◽  
Sufficient Conditions ◽  
Harmonic Balance Method ◽  
System Stability ◽  
Nonlinear Feedback ◽  
Hopf Bifurcation Point ◽  
Coal Cutters

The semidirect drive cutting transmission system of coal cutters is prone to unstable torsional vibration when the resistance values of its driving permanent magnet synchronous motor (PMSM) are affected by changes in temperatures and tough conditions. Besides, the system has the properties of complex electromechanically coupling such as the coupling between electrical parameters and mechanical parameters. Therefore, in this study, the nonlinear torsional vibration equation was established on the basis of the Lagrange-Maxwell theory. Moreover, in light of the nonlinear dynamic bifurcation theory, the system stability was analyzed by taking the resistance value of power motor as the bifurcation parameter. In addition, the influence of subcritical bifurcation on the torsional vibration was studied by investigating the necessary and sufficient conditions for dynamic Hopf bifurcation and classifying the bifurcation types. At last, in order to suppress destabilizing oscillation induced by Hopf bifurcation, the nonlinear feedback controller was constructed, with the introduction of feedback from the motor velocity as well as the selection of voltage value on the q shaft as the controlled variable. Meanwhile, the three-order normal form and controlling parameters of the system were obtained with the aid of the multiple scales method and the harmonic balance method. In this way, the Hopf bifurcation point was transferred to control the stability of Hopf bifurcation and the amplitude of limit cycle, thus guaranteeing reliable and safe operation of the system. The numerical simulation results indicate that the designed controller boosts an ideal controlling effect.

Nonlinear dynamic analysis of an electromechanical coupling transmission system: A case study on shearers

2018 ◽  
Vol 233 (4) ◽  
pp. 1181-1192
Author(s):  
Lianchao Sheng ◽  
Wei Li ◽  
Yuqiao Wang ◽  
Mengbao Fan ◽  
Xuefeng Yang
Keyword(s):  
Chaotic Motion ◽  
Nonlinear Dynamic ◽  
Electromechanical Coupling ◽  
Electromagnetic Coupling ◽  
Permanent Magnet Synchronous Motor ◽  
Nonlinear Dynamic Analysis ◽  
Transmission System ◽  
System Stability ◽  
Practical Significance ◽  
Field Energy

The operation environment of an electromechanical coupling transmission system in shearers is significantly harsher than that of electromechanical coupling transmission system for general applications. Besides, under the combined action of electrical and mechanical factors, unstable phenomenon may appear when the complicated dynamic behaviors of electromechanical coupling transmission system of a shearer occur such as bifurcation and chaos. Therefore, to solve this problem, the stability, bifurcation, and chaotic characters of electromechanical coupling transmission system with various electromagnetism stiffnesses are investigated in this paper. Then, the nonlinear dynamic equation of electromechanical coupling transmission system of a shearer is set up by taking both air-gap field energy of permanent magnet synchronous motor and coupling impact of mechanical and electrical parameters. According to the established equations, the equilibrium point and eigenvalue of the system are discussed. Meanwhile, the parameters conditions of the system Hopf bifurcation and chaotic motion are analyzed, and the homoclinic orbit of the system is determined. The results show that bifurcation and chaotic motion can be controlled effectively when reasonable parameters are concerned, which is of great practical significance to further study the vibration of the mechanical-electromagnetic coupling transmission system and the improvement of system stability.

Forecasting of Summer Monsoon Rainfall over Gangetic West Bengal, India Utilising Intrinsic Mode Functions, Linear and Neural Regression

2020 ◽  
Vol 12 (1) ◽  
pp. 60-69 ◽  
Author(s):  
Pijush Basak
Keyword(s):  
Neural Network ◽  
West Bengal ◽  
Monsoon Rainfall ◽  
Linear Part ◽  
Intrinsic Mode Functions ◽  
Quasi Biennial Oscillation ◽  
Nonlinear Part ◽  
South West ◽  
South West Monsoon ◽  
West Monsoon

The South West Monsoon rainfall data of the meteorological subdivision number 6 of India enclosing Gangetic West Bengal is shown to be decomposable into eight empirical time series, namely Intrinsic Mode Functions. This leads one to identify the first empirical mode as a nonlinear part and the remaining modes as the linear part of the data. The nonlinear part is modeled with the technique Neural Network based Generalized Regression Neural Network model technique whereas the linear part is sensibly modeled through simple regression method. The different Intrinsic modes as verified are well connected with relevant atmospheric features, namely, El Nino, Quasi-biennial Oscillation, Sunspot cycle and others. It is observed that the proposed model explains around 75% of inter annual variability (IAV) of the rainfall series of Gangetic West Bengal. The model is efficient in statistical forecasting of South West Monsoon rainfall in the region as verified from independent part of the real data. The statistical forecasts of SWM rainfall for GWB for the years 2012 and 2013 are108.71 cm and 126.21 cm respectively, where as corresponding to the actual rainfall of 93.19 cm 115.20 cm respectively which are within one standard deviation of mean rainfall.

A simulation study of nonideal mixing effect on the dynamic response of an exothermic CSTR with Cholette’s model

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Chane-Yuan Yang ◽  
Yu-Shu Chien ◽  
Jun-Hong Chou
Keyword(s):  
Transfer Function ◽  
Dynamic Response ◽  
The Other ◽  
System Stability ◽  
Mixing Effect ◽  
Characteristic Roots ◽  
Mixing Parameter ◽  
Perfect Mixing ◽  
And Control ◽  
Inverse Response

Abstract The study of nonideal mixing effect on the dynamic behaviors of CSTRs has very rarely been published in the literature. In this work, Cholette’s model is employed to explore the nonideal mixing effect on the dynamic response of a nonisothermal CSTR. The analysis shows that the mixing parameter n (the fraction of the feed entering the zone of perfect mixing) and m (the fraction of the total volume of the reactor), indeed affect the characteristic roots of transfer function of a real CSTR, which determine the system stability. On the other hand, the inverse response and overshoot response are also affected by the nonideal mixing in a nonisothemal CSTR. These results are of much help for the design and control of a real CSTR.

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