Open AccessModelling and Simulation of Nonlinear Jump Phenomena of a Non-ideal Rotor Involving Fractional Order PD Controller
Author(s) -
Gaurav Ghosh,
Abhishek Kumar Jha,
Sovan Sundar Dasgupta
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2115/1/012029
Subject(s) - instability , control theory (sociology) , jump , nonlinear system , bifurcation , rotor (electric) , mathematics , controller (irrigation) , ideal (ethics) , fractional order system , physics , mathematical analysis , mechanics , fractional calculus , computer science , philosophy , epistemology , control (management) , quantum mechanics , artificial intelligence , agronomy , biology
Rotating machinery with high speed powered by industrial motors frequently suffers from instability by exhibiting non-linear jump phenomena, formally known as Sommerfeld effect. The drives whose excitation is a function of the system responses, referred to as non-ideal. The system dynamics of such systems exhibit a couple of complex and interesting features when the input power exceeds a critical value. The present research suggests a novel approach to study the efficacy of active magnetic bearing with fractional PD controller to suppress the instability caused by the Sommerfeld effect. The steady-state results obtained by solving the system characteristic equation numerically is compared with the transient analysis. Finally, root locus method is introduced to obtain the bifurcation points at which this kind of instability completely disappears.