scholarly journals Numerical study of optimized fractional-order controller for chaos control of nonlinear dynamical power system

2017 ◽  
Vol 27 (8) ◽  
pp. e2336 ◽  
Author(s):  
Sunil P. Nangrani ◽  
Sunil S. Bhat
Keyword(s):  
Power System ◽  
Fractional Order ◽  
Chaos Control ◽  
Numerical Study ◽  
Nonlinear Dynamical ◽  
Fractional Order Controller

Frequency regulation of a RES integrated power system with AC/DC parallel link employing a fuzzy tuned fractional order controller

2022 ◽  
Vol 0 (0) ◽  
Author(s):  
Anurekha Nayak ◽  
Manoj Kumar Maharana ◽  
Gayadhar Panda
Keyword(s):  
Power System ◽  
Fractional Order ◽  
Power Plants ◽  
Fuzzy Logic Controller ◽  
Thermal Power ◽  
Frequency Deviation ◽  
Frequency Regulation ◽  
High Voltage Direct Current ◽  
Fractional Order Controller ◽  
Operational Efficacy

Abstract This paper demonstrates the operational efficacy of a newly proposed fuzzy tuned fractional order controller to offer an improved frequency regulation of a multi area renewable energy source (RES) integrated nonlinear power system. The effect of governor dead band nonlinearity and generation rate constraint of hydro and thermal power plants are considered in the system. Moreover, a proposed appropriate High voltage direct current (HVDC) tie line model is incorporated in this work, to verify the frequency deviation. Different test cases are applied to verify the robustness of the controllers on frequency response. The superiority of the proposed controller upon Proportional integral and derivative (PID), fuzzy logic controller and fuzzy PID controller in minimizing frequency deviation has been verified through MATLAB SIMULINK environment.

A fractional-order ship power system: chaos and its dynamical properties

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Karthikeyan Rajagopal ◽  
Prakash Duraisamy ◽  
Goitom Tadesse ◽  
Christos Volos ◽  
Fahimeh Nazarimehr ◽  
...  
Keyword(s):  
Power System ◽  
Fractional Order ◽  
Chaotic Dynamics ◽  
Period Doubling ◽  
Order Form ◽  
Dynamical Behaviors ◽  
Fractional Order Controller ◽  
Parameter Values ◽  
Ship Power System ◽  
D Model

Abstract In this research, the ship power system is studied with a fractional-order approach. A 2-D model of a two-generator parallel-connected is considered. A chaotic attractor is observed for particular parameter values. The fractional-order form is calculated with the Adam–Bashforth–Moulton method. The chaotic response is identified even for the order 0.99. Phase portrait is generated using the Caputo derivative approach. Wolf’s algorithm is used to calculate Lyapunov exponents. For the considered values of parameters, one positive Lyapunov exponent confirms the existence of chaos. Bifurcation diagrams are presented to analyze the various dynamical behaviors and bifurcation points. Interestingly, the considered system is multistable. Also, antimonotonicity, period-doubling, and period halving are observed in the bifurcation diagram. As the last step, a fractional-order controller is designed to remove chaotic dynamics. Time plots are simulated to show the effectiveness of the controller.

scholarly journals CHAOS CONTROL AND SYNCHRONIZATION USING SYNERGETIC CONTROLLER WITH FRACTIONAL AND LINEAR EXTENDED MANIFOLD

2016 ◽  
Vol 17 (1) ◽  
pp. 115-126
Author(s):  
Morteza Pourmehdi ◽  
Abolfazl Ranjbar Noei ◽  
Jalil Sadati
Keyword(s):  
Fractional Order ◽  
Chaos Control ◽  
Order System ◽  
State Variables ◽  
System Quality ◽  
Control Effort ◽  
Lower Amplitude ◽  
The Stability ◽  
Fractional Order Controller ◽  
Control And Synchronization

In this manuscript, for the first time, a fractional-order manifold in a synergetic approach using a fractional order controller is introduced. Furtheremore, in the synergetic theory a macro variable is expended into a linear combination of state variables. An aim is to increase the convergence rate as well as time response of the whole closed loop system. Quality of the proposed controller is investigated to control and synchronize a nonlinear chaotic Coullet system in comparison with an integer order manifold synergetic controller. The stability of the proposed controller is proven using the Lyapunov method. In this regard stabilizing control effort is yielded. Simulation result confirm convergence of states towards zero. This is achieved through a control effort with fewer oscillations and lower amplitude of signls which confirm feasibility of the control effort in practice.KEYWORDS:  synergetic control theory; fractional order system; synchronization; nonlinear chaotic Coullet system; chaos control

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