Abstract
Electromechanical couplings have been reported to play a crucial role in determining important behavior of nonlinear systems. In this study, we analyzed the nonlinear dynamic characteristics of the electromechanical coupling system. First, considering the electromechanical coupling effect of the system, differential equation of the system was obtained by combining the Park equation of a permanent-magnet synchronous motor with the rotor dynamics equation. Then, the coordinate plane projection method was used to analyze the chaotic phenomenon of the electromechanical coupling system. Through calculating the weight value of the 10 projection planes of the electromechanical coupling system, four projection planes with smaller weight values were chosen. Finally, the analysis of the four projection planes of the system indicated that the whole system could reach to the stable state by only controlling the rotational speed in the steady state. In this perspective, the 5-degree-of-freedom system reduced to 2-degr...
Highlights
Permanent-magnet synchronous motor (PMSM) is of significant interest, for industrial applications such as in the hybrid electric vehicles (HEVs) in the medium-power range owing to its superior features such as compact size, high torque/weight ratio, high torque/inertia ratio, and the absence of rotor losses
Based on the trajectory stabilitypreserving dimension reduction (TSPDR), the CPP10,11 method was applied for studying the structural stability of the electromechanical coupling system
Since the bifurcation set on the two projection planes has the state variable v1, the whole system’s dynamic behavior could be deduced by monitoring the range of v1 from the numerical integration
Summary
Permanent-magnet synchronous motor (PMSM) is of significant interest, for industrial applications such as in the hybrid electric vehicles (HEVs) in the medium-power range owing to its superior features such as compact size, high torque/weight ratio, high torque/inertia ratio, and the absence of rotor losses. Few literature reports investigated the nonlinear characteristics of the high-dimensional electromechanical coupling systems. Advances in Mechanical Engineering suitable linear transformation with stability preserving Based on this methodology, Shao[11] proposed the coordinate plane projection (CPP) method to study structure stability of general dynamic system. The abovementioned literature analyzed the nonlinear characteristics of the PMSMs. In recent years, based on the theoretical analysis of the electromechanical coupling system, a lot of research achievements about bifurcation and chaos of an electromechanical coupling system have been reported. The nonlinear electromechanical coupling model was established considering the coupling effects of both electrical and mechanical parameters, leading to a five-dimensional (5D) autonomous equation with only two quadratic terms.
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