Stability analysis of power circuit comprising virtual inductance

O. Dranga; H. Funato; S. Ogasawara; Chi Kong Tse; H. H.C. Iu

Stability analysis of power circuit comprising virtual inductance

O. Dranga, H. Funato, S. Ogasawara, Chi Kong Tse, H. H.C. Iu

The Hong Kong Polytechnic University

Research output: Journal article publication › Conference article › Academic research › peer-review

5 Citations (Scopus)

Abstract

The concept of a variable active-passive reactance (VAPAR), which can generate a virtual variable inductance in power circuits, including negative values, has already been proposed. Since it has found applications in the power flow control of power systems, where the power flow is essentially restricted by a line inductance, the aim of the paper is to report on the stability of this virtual inductance in an RL circuit. The periodic steady-state operation of the variable-structure, piecewise-linear, nonlinear system is modeled by its Poincaré map. The stability criterion employs the position of the eigenvalues of the Jacobian matrix of the Poincaré map, evaluated at its fixed point. Bifurcation behaviour when varying the virtual inductance is revealed. Such an analysis allows accurate prediction of stability boundaries and facilitates the selection of parameter values to guarantee stable operation.

Original language	English
Journal	Proceedings - IEEE International Symposium on Circuits and Systems
Volume	4
Publication status	Published - 6 Sept 2004
Event	2004 IEEE International Symposium on Cirquits and Systems - Proceedings - Vancouver, BC, Canada Duration: 23 May 2004 → 26 May 2004

ASJC Scopus subject areas

Electrical and Electronic Engineering

Cite this

@article{6f41f4c412b348aea1039fee1abee4f4,

title = "Stability analysis of power circuit comprising virtual inductance",

abstract = "The concept of a variable active-passive reactance (VAPAR), which can generate a virtual variable inductance in power circuits, including negative values, has already been proposed. Since it has found applications in the power flow control of power systems, where the power flow is essentially restricted by a line inductance, the aim of the paper is to report on the stability of this virtual inductance in an RL circuit. The periodic steady-state operation of the variable-structure, piecewise-linear, nonlinear system is modeled by its Poincar{\'e} map. The stability criterion employs the position of the eigenvalues of the Jacobian matrix of the Poincar{\'e} map, evaluated at its fixed point. Bifurcation behaviour when varying the virtual inductance is revealed. Such an analysis allows accurate prediction of stability boundaries and facilitates the selection of parameter values to guarantee stable operation.",

author = "O. Dranga and H. Funato and S. Ogasawara and Tse, {Chi Kong} and Iu, {H. H.C.}",

year = "2004",

month = sep,

day = "6",

language = "English",

volume = "4",

journal = "Proceedings - IEEE International Symposium on Circuits and Systems",

issn = "0271-4310",

publisher = "IEEE",

note = "2004 IEEE International Symposium on Cirquits and Systems - Proceedings ; Conference date: 23-05-2004 Through 26-05-2004",

}

TY - JOUR

T1 - Stability analysis of power circuit comprising virtual inductance

AU - Dranga, O.

AU - Funato, H.

AU - Ogasawara, S.

AU - Tse, Chi Kong

AU - Iu, H. H.C.

PY - 2004/9/6

Y1 - 2004/9/6

N2 - The concept of a variable active-passive reactance (VAPAR), which can generate a virtual variable inductance in power circuits, including negative values, has already been proposed. Since it has found applications in the power flow control of power systems, where the power flow is essentially restricted by a line inductance, the aim of the paper is to report on the stability of this virtual inductance in an RL circuit. The periodic steady-state operation of the variable-structure, piecewise-linear, nonlinear system is modeled by its Poincaré map. The stability criterion employs the position of the eigenvalues of the Jacobian matrix of the Poincaré map, evaluated at its fixed point. Bifurcation behaviour when varying the virtual inductance is revealed. Such an analysis allows accurate prediction of stability boundaries and facilitates the selection of parameter values to guarantee stable operation.

AB - The concept of a variable active-passive reactance (VAPAR), which can generate a virtual variable inductance in power circuits, including negative values, has already been proposed. Since it has found applications in the power flow control of power systems, where the power flow is essentially restricted by a line inductance, the aim of the paper is to report on the stability of this virtual inductance in an RL circuit. The periodic steady-state operation of the variable-structure, piecewise-linear, nonlinear system is modeled by its Poincaré map. The stability criterion employs the position of the eigenvalues of the Jacobian matrix of the Poincaré map, evaluated at its fixed point. Bifurcation behaviour when varying the virtual inductance is revealed. Such an analysis allows accurate prediction of stability boundaries and facilitates the selection of parameter values to guarantee stable operation.

UR - http://www.scopus.com/inward/record.url?scp=4344634301&partnerID=8YFLogxK

M3 - Conference article

SN - 0271-4310

VL - 4

JO - Proceedings - IEEE International Symposium on Circuits and Systems

JF - Proceedings - IEEE International Symposium on Circuits and Systems

T2 - 2004 IEEE International Symposium on Cirquits and Systems - Proceedings

Y2 - 23 May 2004 through 26 May 2004

ER -

Stability analysis of power circuit comprising virtual inductance

Abstract

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this