Stability theory for differential/algebraic systems with application to power systems

D.J. Hill; I.M.Y. Mareels

doi:10.1109/31.62415

Stability theory for differential/algebraic systems with application to power systems

IEEE Transactions on Circuits and Systems ◽

10.1109/31.62415 ◽

1990 ◽

Vol 37 (11) ◽

pp. 1416-1423 ◽

Cited By ~ 194

Author(s):

D.J. Hill ◽

I.M.Y. Mareels

Keyword(s):

Power Systems ◽

Stability Theory ◽

Algebraic Systems

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Stability Theory for Differential/Algebraic Systems with Application to Power Systems

Robust Control of Linear Systems and Nonlinear Control ◽

10.1007/978-1-4612-4484-4_42 ◽

1990 ◽

pp. 437-445 ◽

Cited By ~ 7

Author(s):

David J. Hill ◽

Iven M. Y. Mareels

Keyword(s):

Power Systems ◽

Stability Theory ◽

Algebraic Systems

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An observability formulation for nonlinear power systems modeled as differential algebraic systems

10.17918/etd-519 ◽

2021 ◽

Author(s):

Chris J. Dafis

Keyword(s):

Power Systems ◽

Algebraic Systems

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Stability Theory of Differential/Algebraic Models of Power Systems

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)51392-0 ◽

1990 ◽

Vol 23 (8) ◽

pp. 19-24 ◽

Cited By ~ 1

Author(s):

D.J. Hill ◽

I.A. Hiskens ◽

I.M.Y. Mareels

Keyword(s):

Power Systems ◽

Stability Theory ◽

Algebraic Models

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Feedback Control of Nonlinear Differential Algebraic Systems with Application to Power Systems: An Extended Inverse System Method

2007 IEEE International Conference on Control and Automation ◽

10.1109/icca.2007.4376948 ◽

2007 ◽

Author(s):

Jianyong Li ◽

Yanhong Liu ◽

Chunwen Li

Keyword(s):

Feedback Control ◽

Power Systems ◽

Inverse System ◽

Algebraic Systems ◽

Inverse System Method ◽

System Method

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Sensitivity analysis of differential-algebraic systems using the GMRES method-application to power systems

ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196) ◽

10.1109/iscas.2001.921260 ◽

2002 ◽

Cited By ~ 7

Author(s):

D. Chaniotis ◽

M.A. Pai ◽

I. Hiskens

Keyword(s):

Sensitivity Analysis ◽

Power Systems ◽

Gmres Method ◽

Algebraic Systems

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A stability theory for constrained dynamic systems with applications to electric power systems

Proceedings of 1994 American Control Conference - ACC '94 ◽

10.1109/acc.1994.752329 ◽

2005 ◽

Author(s):

K.L. Praprost ◽

K.A. Loparo

Keyword(s):

Power Systems ◽

Electric Power ◽

Dynamic Systems ◽

Stability Theory ◽

Electric Power Systems

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Stability theory of differential/algebraic models of power systems

Sadhana ◽

10.1007/bf03024222 ◽

1993 ◽

Vol 18 (5) ◽

pp. 731-747 ◽

Cited By ~ 16

Author(s):

D J Hill ◽

I A Hiskens ◽

I M Y Mareels

Keyword(s):

Power Systems ◽

Stability Theory ◽

Algebraic Models

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Adaptive control method for chaotic power systems based on finite-time stability theory and passivity-based control approach

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2018.05.005 ◽

2018 ◽

Vol 112 ◽

pp. 159-167 ◽

Cited By ~ 10

Author(s):

Cong Wang ◽

Hongli Zhang ◽

Wenhui Fan ◽

Ping Ma

Keyword(s):

Adaptive Control ◽

Power Systems ◽

Finite Time ◽

Stability Theory ◽

Control Method ◽

Time Stability ◽

Control Approach ◽

Finite Time Stability ◽

Passivity Based Control

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A stability theory for constrained dynamic systems with applications to electric power systems

IEEE Transactions on Automatic Control ◽

10.1109/9.543998 ◽

1996 ◽

Vol 41 (11) ◽

pp. 1605-1617 ◽

Cited By ~ 26

Author(s):

K.L. Praprost ◽

K.A. Loparo

Keyword(s):

Power Systems ◽

Electric Power ◽

Dynamic Systems ◽

Stability Theory ◽

Electric Power Systems

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Chaotic Synchronization in a Small Network of a Class of Power Systems via Contraction Analysis

Mathematical Problems in Engineering ◽

10.1155/2012/539056 ◽

2012 ◽

Vol 2012 ◽

pp. 1-10

Author(s):

G. Solís-Perales ◽

E. Ruiz-Velázquez ◽

J. A. García-Rodríguez

Keyword(s):

Nonlinear Systems ◽

Power Systems ◽

State Space ◽

Stability Theory ◽

Chaotic Synchronization ◽

The State ◽

Auxiliary System ◽

Analysis Method ◽

Virtual System ◽

Contraction Theory

This paper presents a synchronization analysis of networks of a class of power systems using the contraction theory for nonlinear systems. This analysis is characterized by not being based on Lyapunov's stability theory, that is, it is not required to determine a Lyapunov candidate function. Moreover, from the contraction conditions, robustness of the synchronization can be obtained, in this sense, the analysis method is robust. The analysis consists in identifying or proposing a virtual or auxiliary system which is contracting in a region of the state space. It is intended that in this region the trajectories of the systems on the network converge to those of the virtual system and then obtain the synchronization of the systems in the network. The contribution consists in applying this nontraditional analysis to the problem of chaotic synchronization of a network of a class of power systems.

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