In this paper, a novel, efficient and simple single-phase model of the thyristor switched capacitor (TSC) is presented. Its dynamic behaviour is described by a set of ordinary differential equations (ODEs) in the time domain. The periodic steady-state solution of electric systems containing this type of static VAr compensators is efficiently obtained with the application of two Newton techniques for the acceleration of time domain computations to the limit cycle. A comparative analysis between the periodic steady-state solutions obtained with the conventional brute force (BF) procedure and the Newton methods (numerical differentiation and direct approach, respectively) is presented in terms of total number of cycles and CPU times required to reach the limit cycle. An harmonic analysis is presented in order to analyze the harmonic distortion produced by the TSC's operation.
[1]
Leon O. Chua,et al.
Practical Numerical Algorithms for Chaotic Systems
,
1989
.
[2]
E. Acha.
Harmonic domain representation of thyristor controlled reactors
,
1991
.
[3]
Medina Rios,et al.
Power systems modelling in the harmonic domain.
,
1992
.
[4]
N. Garcia,et al.
Newton methods for the fast computation of the periodic steady-state solution of systems with nonlinear and time-varying components
,
1999,
1999 IEEE Power Engineering Society Summer Meeting. Conference Proceedings (Cat. No.99CH36364).
[5]
Aurelio Medina,et al.
Computation of the periodic steady state in systems with nonlinear components using a hybrid time and frequency domain methodology
,
1995
.