Bifurcations, chaos and adaptive backstepping sliding mode control of a power system with excitation limitation

Min, Fuhong; Wang, Yaoda; Peng, Guangya; Wang, Enrong; Auth, Jane A.

doi:10.1063/1.4961696

Cited by 16 publications

(3 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Power system, as a typical nonlinear and nonautonomous system, contains many complex nonlinear electromechanical oscillations such as low frequency oscillation, subsynchronous oscillation, bifurcation, and chaos oscillation [4][5][6]. When periodic load disturbance reaches a certain amplitude, chaos oscillation phenomena in power system will happen, which is an aperiodic, irregularity, paroxysmal and sudden ill-conditioned electromechanical chaotic oscillation [7,8].…”

Section: Introductionmentioning

confidence: 99%

Adaptive Fixed-Time Stability Control and Parameters Identification for Chaotic Oscillation in Second Order Power System

Zhi-jie

et al. 2018

Mathematical Problems in Engineering

View full text Add to dashboard Cite

In this paper, the novel adaptive fixed-time stability control for chaotic oscillation in second order power system is proposed. The settling time of fixed-time control can be adjusted to the desired value without knowing the initial condition, while the finite time control depends on that. Then, we develop a parameter identification method of fixed-time depending on synchronous observer with adaptive law of parameters, which can guarantee these uncertain parameters to be identified effectively. Finally, some numerical results demonstrate the effectiveness and practicability of the scheme.

show abstract

Section: Introductionmentioning

confidence: 99%

Adaptive Fixed-Time Stability Control and Parameters Identification for Chaotic Oscillation in Second Order Power System

Zhi-jie

et al. 2018

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…With the development of power grid system, grid interconnection has became a inevitable trend, and it can improve the quality of power. At the same time, it also provides convenience for the dispatching optimization of power system [1][2][3]. However, chaos often appears in the interconnected power system, it will bring great challenge to the stability of power system.…”

Section: Introductionmentioning

confidence: 99%

A New Non-Singular Terminal Sliding Mode Control and Its Application to Chaos Suppression in Interconnected Power System

Wang

Chen

Ding

2018

International Journal of Advanced Network, Monitoring and Controls

View full text Add to dashboard Cite

Abstract-Interconnected power system is a typical nonlinear dynamical system, it will cause great harm to the interconnected power system when the chaos occurred. This paper analyses the nonlinear dynamical behavior of the interconnected power system with a uncertain electromagnetic disturbance amplitude, and the influence of the electromagnetic disturbance amplitude on the stability of the system is obtained. Thus, this paper proposes a novel non-singular terminal sliding mode control to restrain the chaos, then the system will reach a stable state in a fixed time.According to the theoretical analysis, by introducing the saturation function, the control method can solve the singularity problem in the sliding mode control, and the interconnected power system will be stable in a short time when it's in chaos. The simulation prove the correctness of the method.

show abstract

“…Various variants of SMC are used along with other control techniques for the synchronization and control of dynamical systems like adaptive SMC (Chi-Ching, 2012), backstepping SMC (Min, 2016), fuzzy-SMC (Min, 2016), Linear matrix inequality based sliding mode control (LMI SMC) (Mobayen et al, 2016), etc. The conventional first-order SMC has some disadvantages like chattering, high gain and asymptotic stability (Mobayen et al, 2016).…”

Section: Introductionmentioning

confidence: 99%

Second order adaptive time varying sliding mode control for synchronization of hidden chaotic orbits in a new uncertain 4-D conservative chaotic system

Singh

Roy

2017

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

The objectives of the paper are (i) to develop a new 4-D conservative chaotic system with hidden chaotic orbits, (ii) to design a second order adaptive time varying sliding mode control for the synchronization between two identical proposed chaotic systems in the presence of matched disturbances and (iii) to compare the performances of the proposed controller with two available controllers which have been published recently. The chaotic nature of the proposed system is validated using theoretical and numerical tools like divergence property, Lyapunov exponents, Lyapunov spectrum, bifurcation diagram, phase portrait, Poincaré map and a frequency spectrum. The new conservative chaotic system exhibits the coexistence of hidden chaotic orbits with no equilibrium point. The new system is synchronized with itself using the proposed second-order adaptive time varying sliding mode control technique in the presence of matched disturbances and by considering different initial conditions. During synchronization, the parameters of both the systems, gains of the first order and second order sliding surfaces and the gains of the switching laws are considered as unknown and estimated adaptively. Only two control inputs are used to synchronize all the four states of the system. The effectiveness of the proposed controller is compared with two available controllers for the synchronization of chaotic systems and it is found that the proposed controller performs much better than the two available controllers.

show abstract

Bifurcations, chaos and adaptive backstepping sliding mode control of a power system with excitation limitation

Cited by 16 publications

References 16 publications

Adaptive Fixed-Time Stability Control and Parameters Identification for Chaotic Oscillation in Second Order Power System

Adaptive Fixed-Time Stability Control and Parameters Identification for Chaotic Oscillation in Second Order Power System

A New Non-Singular Terminal Sliding Mode Control and Its Application to Chaos Suppression in Interconnected Power System

Second order adaptive time varying sliding mode control for synchronization of hidden chaotic orbits in a new uncertain 4-D conservative chaotic system

Contact Info

Product

Resources

About