Stabilisation of chaotic power system based on LaSalle invariable principle

Zhao, Hui; Ma, Youchun; Liu, Sijia; Zhong, Dan

doi:10.1504/ijaac.2011.042856

Cited by 3 publications

(8 citation statements)

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“…The dynamics of a system under consideration can very well be better understood by a closer look at the pattern of phase plane trajectory plots than through analytical solutions.Various analytical approaches based on stability and Lyapunov function are difficult to solve for higher order power system models [10] hence the numerical solution of a set of state equations is preferred for getting a simplified solution for voltage trajectory [9,20]. To prevent voltage instability issues several intelligent methods need to be tried out.…”

Section: Resultsmentioning

confidence: 99%

“…Figure 2 represents, how ripple in turbine power affects voltage trajectory and oscillating part of power aggravates the situation and push the system near to voltage instability. By considering the effect of turbine ripple, (3) gets additive term related to an oscillatory component of turbine power and (12) is modified form of (3) due to (10).…”

Section: Voltage Instability In Nonlinear Dynamical Power Systemmentioning

confidence: 99%

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Instability, chaos and bifurcation control in nonlinear dynamical system behavior using perturb-boost fuzzy logic controller

Nangrani

Bhat

2017

IFS

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This paper presents a novel Perturb-Boost Fuzzy Logic Controller for controlling the instability of nonlinear dynamical system behavior. Several applications can make use of the small perturbation technique discussed in the paper related to industrial control, mechanical nonlinear systems, electrical systems and other systems governed by nonlinear differential equations. This paper presents the power system as an application for use of novel controller to control voltage instability problem. The power system is an electro-mechanical nonlinear dynamical system, and is described by a combination of electrical and mechanical parameter based differential equations together. The power system faces problems related to voltage instability and chaos. Voltage instability exists in almost every power system for a specific set of mechanical power, electrical loading and initial conditions. Voltage instability can be controlled by injecting a small amount of reactive power using a power electronic device called a Static Volt Ampere Reactive Compensator. The amount of reactive power to be injected is trivial for different types and sizes of the power system. To control voltage instability, reactive power in a power system needs to be boosted. Proposed controller output decides amount of reactive power which perturbs the system equation to the stable operating point. The proposed Perturb-Boost Fuzzy Logic Controller differs from conventional controllers due to its single shot boost action, which perturbs system dynamics in such a way as to push it to safe zones of voltage stability. This paper analyzes the performance of the proposed controller to control the voltage instability for the generalized three node power system benchmark model. Reactive power to be injected is momentary due to single shot boost action. Time to reach instability gets delayed by approximately fifteen seconds using proposed controller for the benchmark model. Mitigation of voltage collapse is discussed in view of simulation results using proposed novel controller.

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Section: Resultsmentioning

confidence: 99%

Section: Voltage Instability In Nonlinear Dynamical Power Systemmentioning

confidence: 99%

Instability, chaos and bifurcation control in nonlinear dynamical system behavior using perturb-boost fuzzy logic controller

Nangrani

Bhat

2017

IFS

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“…Therefore, it can be concluded that the sliding mode controller (23)- (24) guarantees the convergence of the state variables 1 ( ), 2 ( ), 3 ( ), and 4 ( ) to zero as → ∞.…”

Section: Design Of a Conventional Sliding Modementioning

confidence: 94%

“…Also, differentiating (22) with respect to time, using the model of the transformed system in (15) and substituting 2 by its value from (24), it follows thaṫ…”

Section: Design Of a Conventional Sliding Modementioning

confidence: 99%

“…Since power systems are highly nonlinear, different nonlinear control schemes were used to curb or eliminate the chaotic oscillations in power systems; for example, see [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]. Global state feedback linearization was applied in [21] to control the chaotic behavior of the power system.…”

Section: Introductionmentioning

confidence: 99%

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Sliding Mode Control of Chaos in a Single Machine Connected to an Infinite Bus Power System

Alrifai

Zribi

2018

Mathematical Problems in Engineering

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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 avoid voltage collapse. The controllers are a feedback linearization controller, a conventional sliding mode controller, and a second-order super-twisting sliding mode controller. It is shown that the proposed controllers guarantee the convergence of the states of the system to their desired values. Simulations studies are presented to show the effectiveness of the proposed control schemes.

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Control of period doubling bifurcation in an SMIB power system using adaptive controller based on LaSalle’s invariant principle

2017

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Stabilisation of chaotic power system based on LaSalle invariable principle

Cited by 3 publications

References 0 publications

Instability, chaos and bifurcation control in nonlinear dynamical system behavior using perturb-boost fuzzy logic controller

Instability, chaos and bifurcation control in nonlinear dynamical system behavior using perturb-boost fuzzy logic controller

Sliding Mode Control of Chaos in a Single Machine Connected to an Infinite Bus Power System

Control of period doubling bifurcation in an SMIB power system using adaptive controller based on LaSalle’s invariant principle

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