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Drive using dc shunt motor or permanent magnet dc (PMDC) motor as prime mover, exhibits bifurcation and chaos. The characteristics of dc shunt and PMDC motors are linear in nature. These motors are controlled by pulse width modulation (PWM) technique with the help of semiconductor switches. These switches are nonlinear elements that introduce nonlinear characteristics in the drive. Any nonlinear system...
The paper presents bifurcation behaviour of a single-phase induction motor. Study of bifurcation of a system gives the complete picture of its dynamical behaviour with the change in system’s parameters. The system is mathematically described by a set of differential equations in the state space. Induction motors are very widely used in domestic and commercial applications. Single-phase capacitor-run...
The paper presents a mathematical model and simulation results of dynamic characteristics of the single-phase capacitor run induction motor. Bifurcation theory deals with the change of qualitative behavior in a parameter space of dynamical systems. Induction motors are very widely used in domestic and commercial applications. Single phase capacitor run induction motors are commonly used as a drive...
This paper describes bifurcation phenomena of a PWM controlled dc shunt drive. Bifurcation behavior of the system is observed by varying system parameters. The route of transition from periodic behavior to chaos has been investigated. The stability of the system is found out using the state transition matrix over one switching cycle (the monodromy matrix) including the state transition matrices during...
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