Modified Hopf bifurcation index for power system stability assessment

The dynamic security-constrained dispatch of an electric power network is a difficult task facing an independent system operator mandated to provide equitable and fair transmission services in an open-market environment. In this article, a novel technique based on iterative stability-constrained optimum power flow is proposed. The particle swarm optimization methodology is employed to maximize the social welfare with consideration of static and dynamic functional operating constraints and dynamic loading margin requirements with respect to normal condition and contingencies. Furthermore, since the pattern of load increase is difficult to predict in the new market environment, a new method for determining the sensitive loading direction associated with a dynamic loading margin is proposed. An IEEE 14-bus test system with both supply and demand bidding is used to illustrate and test the proposed technique.

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“…One popular way is using the bifurcation index. In [6][7][8] some indices for prediction of HB point and SNB are proposed.…”

Section: Nomenclaturementioning

confidence: 99%

Stability Constrained Optimal Power Flow in Deregulated Power Systems

Azadani

Hosseinian

Divshali

et al. 2011

Electric Power Components and Systems

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“…The technique of Hopf bifurcation control has been widely applied to solve physical and engineering problems (including electronic circuits [3][4][5], power systems [6][7], chemical [8], etc.). The control of Hopf bifurcation system has become a prime subject in nonlinear dynamics and has been widely investigated in recent years [9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

A Novel Parametric Controller Design Method for Hopf Bifurcation System

Lu¹,

Hou²,

Luo³

2017

IJCA

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“…Its practical significance lies in the notion that Hopf bifurcation is a critical state between stable and unstable. There are a lot of related research achievements [2][3][4], covering a lot of fields, including power system [5,6], electronic technology [7], network technology [8], new energy [9], and optical technology [10].…”

Section: Introductionmentioning

confidence: 99%

Parametric Controller Design of Hopf Bifurcation System

Hou

Luo

2015

Mathematical Problems in Engineering

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A general parametric controller design method is proposed for Hopf bifurcation of nonlinear dynamic system. This method does not increase the dimension of the system. Compared with the existing methods, the controller designed by this method has a lower controller order and a simpler structure, and it does not contain equilibrium points. The method keeps equilibrium of the origin system unchanged. Symbolic computation is used to deduce the constraints of controller, and cylindrical algebraic decomposition is used to find the stability parameter regions in parameter space of controller. The method is then employed for Hopf bifurcation control. Taking Lorenz system as an example, the controller design steps of the method and numerical simulations are discussed. Computer simulation results are presented to confirm the analytical predictions.

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Modified Hopf bifurcation index for power system stability assessment

Cited by 13 publications

References 10 publications

Stability Constrained Optimal Power Flow in Deregulated Power Systems

Stability Constrained Optimal Power Flow in Deregulated Power Systems

A Novel Parametric Controller Design Method for Hopf Bifurcation System

Parametric Controller Design of Hopf Bifurcation System

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