Abstract
A permanent magnet synchronous motor (PMSM) model with smooth air gap and an exogenous periodic input is introduced and analyzed in this paper. With a simple mathematical transformation, a new nonautonomous Lorenz-like system is derived from this PMSM model, and this new three-dimensional system can display the complicated dynamics such as the chaotic attractor and the multiperiodic orbits by adjusting the frequency and amplitude of the exogenous periodic inputs. Moreover, this new system shows a double-deck chaotic attractor that is completely different from the four-wing chaotic attractors on topological structures, although the phase portrait shapes of the new attractor and the four-wing chaotic attractors are similar. The exotic phenomenon has been well demonstrated and investigated by numerical simulations, bifurcation analysis, and electronic circuit implementation.
Highlights
Due to simple structure, low manufacturing cost, and high performance [1], permanent magnet synchronous motors (PMSMs) are widely used in modern direct drive motor systems [2, 3], power conversion [4, 5], computer disk drives [6, 7], and domestic applications [8, 9]
The d-q machine model for a permanent magnet synchronous motor (PMSM) in the rotor rotating reference frame [11, 17] is characterized by did dt
For the ease of analysis, this paper will only focus on the case with υq ≠ 0 and TL = υd = 0, and a new type of double-deck butterfly chaotic attractor is obtained by adjusting the control signal υq, which has not been found in the existing literatures
Summary
Low manufacturing cost, and high performance [1], permanent magnet synchronous motors (PMSMs) are widely used in modern direct drive motor systems [2, 3], power conversion [4, 5], computer disk drives [6, 7], and domestic applications [8, 9]. Li et al deeply analyzed the bifurcation and chaos in PMSM with smooth air gap in various cases that stator voltages on rotating frame and external load torque are equal to zero in whole or part [11]. Their studies about the nonzero external inputs of PMSM are only limited to DC power supply, without considering AC power supply. (1) investigating the dynamical behavior of a PMSM model with smooth air gap with external periodic excitation to the q-axes stator on rotating frame, which has not been carefully studied;.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
