Open AccessExtended Poincaré model and non‐linear analysis of permanent‐magnet synchronous motor scalar drive system
Author(s) -
Babaei Mojtaba,
Feyzi Mojtaba,
Nazari Marashi Abbas
Publication year - 2022
Publication title -
iet power electronics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.637
H-Index - 77
eISSN - 1755-4543
pISSN - 1755-4535
DOI - 10.1049/pel2.12273
Subject(s) - lyapunov exponent , chaotic , control theory (sociology) , bifurcation diagram , bifurcation , scalar (mathematics) , poincaré map , mathematics , physics , computer science , nonlinear system , geometry , control (management) , quantum mechanics , artificial intelligence
In this paper, bifurcation diagrams, modified Poincaré map and Lyapunov exponents characteristic are developed for studying non‐linear phenomenon in dynamics of permanent‐magnet synchronous machine scalar drive systems (PMSMSDS). For this, extended Poincaré model of the system is introduced analytically taking into account voltage saturation effects. Using this proposed discrete map model, chaotic and stable region of the PMSMSDS in voltage frequency plane of the system are determined. Furthermore, bifurcation diagram of the system is derived when reference command speed is considered as a bifurcation parameter. Lyapunov exponents are calculated numerically in order to prove the chaotic response of the system and evaluate the accuracy of simulation and numerical results. Experimental test is implemented to investigate the occurrence of chaotic behaviour in the system. It is shown that the proposed map model of the PMSMSDS is capable to predict the chaotic behaviour of the system at any conditions.