Fractional order controller for controlling power system dynamic behavior

SP Nangrani, SS Bhat - Asian Journal of Control, 2018 - Wiley Online Library
Several power system networks exhibit bifurcation, chaos and instability behavior for some
specific values of initial conditions and parameters. Angle and voltage instability behavior of …

Bifurcation, chaos and its control in a fractional order power system model with uncertainties

K Rajagopal, A Karthikeyan, P Duraisamy… - Asian Journal of …, 2019 - Wiley Online Library
The paper investigates the complex nonlinear behavior of a fractional order four dimension
power system (FOFDPS). The discrete mathematical model of the FOFDPS is derived and …

Fractional‐Order Hyperbolic Tangent Sliding Mode Control for Chaotic Oscillation in Power System

D Zhu, W Zhang, C Liu, J Duan - Mathematical Problems in …, 2021 - Wiley Online Library
Chaotic oscillation will occur in power system when there exist periodic load disturbances. In
order to analyze the chaotic oscillation characteristics and suppression method, this paper …

Trends in chaos and instability for understanding system complexity

SP Nangrani, KD Joshi - Journal of Intelligent & Fuzzy Systems, 2020 - content.iospress.com
Engineering systems are nowadays expanding beyond expected limits and their complexity
is also increasing. One of the largest integrated system is power system. Some well …

Sliding mode control of chaos in a single machine connected to an infinite bus power system

MT Alrifai, M Zribi - Mathematical Problems in Engineering, 2018 - Wiley Online Library
This paper deals with the control of chaos in a power system. A fourth‐order model is
adopted for the power system. Three controllers are proposed to suppress the chaos and …

Chaos control in fractional order smart grid with adaptive sliding mode control and genetically optimized PID control and its FPGA implementation

A Karthikeyan, K Rajagopal - Complexity, 2017 - Wiley Online Library
We investigate a specific smart grid system and its nonlinear properties. Lyapunov
exponents are derived to prove the existence of chaos and bifurcation and bicoherence …

Finite-time sliding mode synchronization of chaotic systems

JK Ni, CX Liu, K Liu, L Liu - Chinese Physics B, 2014 - iopscience.iop.org
A new finite-time sliding mode control approach is presented for synchronizing two different
topological structure chaotic systems. With the help of the Lyapunov method, the …

Bifurcation behavior and coexisting motions in a time-delayed power system

ML Ma, FH Min - Chinese Physics B, 2015 - iopscience.iop.org
With the increase of system scale, time delays have become unavoidable in nonlinear
power systems, which add the complexity of system dynamics and induce chaotic oscillation …

Stability, chaos detection, and quenching chaos in the swing equation system

SC Chang - Mathematical Problems in Engineering, 2020 - Wiley Online Library
The main objective of this study is to explore the complex nonlinear dynamics and chaos
control in power systems. The rich dynamics of power systems were observed over a range …

A general method for exploring three-dimensional chaotic attractors with complicated topological structure based on the two-dimensional local vector field around …

S Cang, A Wu, Z Wang, Z Wang, Z Chen - Nonlinear Dynamics, 2016 - Springer
This paper proposed a new method for exploring three-dimensional chaotic attractors with
complicated topological structure. Based on the index theory, the theoretical foundation of …